mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?
Answers
Answer:
6.08333333 hours
Step-by-step explanation:
((42 hours) + (35 minutes)) / 7 = 6.08333333 hours
hope this helps LOL :)
Answer:
511 min or 8 hrs and 52 min
Step-by-step explanation:
first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.
then divide by 5 which gives you the adverage of 511 min
convert answer into hours which is about 8 hours and 52 min rounding up
Related Questions
If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answers
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³
Your employee benefits include family health care coverage. You contribute 16% of the cost. You get paid monthly and $135.00 is taken out of each paycheck for family health care coverage. How much does your employer contribute annually for the family coverage?
Answers
Answer:
$843.75
Step-by-step explanation:
Formula= 135 x 100 /16= 843.75
Estadística: Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.
Answers
Respuesta:
Población = Todos los pasajeros en el autobús
Muestra = los 10 pasajeros entrevistados
Variable = inocencia del conductor; por tanto es una variable cualitativa
Explicación paso a paso:
La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.
La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.
La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.
Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 1 /x^2 − 49 dx
Answers
Answer:
\(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14} \bigg( \ln |x - 7| - \ln |x + 7| \bigg) + C\)
General Formulas and Concepts:
Algebra I
Terms/Coefficients
Expanding/FactoringPre-Calculus
Partial Fraction DecompositionCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
Integrals[Indefinite Integrals] integration Constant CIntegration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Integration Property [Addition/Subtraction]: \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)
U-Substitution
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx\)
Step 2: Integrate Pt. 1
[Integrand] Factor: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \int {\frac{1}{(x - 7)(x + 7)}} \, dx\)[Integrand] Split [Partial Fraction Decomp]: \(\displaystyle \frac{1}{(x - 7)(x + 7)} = \frac{A}{x - 7} + \frac{B}{x + 7}\)Rewrite: \(\displaystyle 1 = A(x + 7) + B(x - 7)\)[Decomp] Substitute in x = 7: \(\displaystyle 1 = A(7 + 7) + B(7 - 7)\)Simplify: \(\displaystyle 1 = 14A\)Solve: \(\displaystyle A = \frac{1}{14}\)[Decomp] Substitute in x = -7: \(\displaystyle 1 = A(-7 + 7) + B(-7 - 7)\)Simplify: \(\displaystyle 1 = -14B\)Solve: \(\displaystyle B = \frac{-1}{14}\)[Split Integrand] Substitute in variables: \(\displaystyle \frac{1}{(x - 7)(x + 7)} = \frac{\frac{1}{14}}{x - 7} - \frac{\frac{1}{14}}{x + 7}\)Step 3: Integrate Pt. 2
[Integral] Rewrite [Split Integrand]: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \int {\bigg( \frac{\frac{1}{14}}{x - 7} - \frac{\frac{1}{14}}{x + 7} \bigg)} \, dx\)[Integral] Rewrite [Integration Property - Addition/Subtraction]: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \int {\frac{\frac{1}{14}}{x - 7}} \, dx - \int {\frac{\frac{1}{14}}{x + 7}} \, dx\)[Integrals] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14}\int {\frac{1}{x - 7}} \, dx - \frac{1}{14}\int {\frac{1}{x + 7}} \, dx\)Factor: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14} \bigg( \int {\frac{1}{x - 7}} \, dx - \int {\frac{1}{x + 7}} \, dx \bigg)\)Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Integral 1
Set u: \(\displaystyle u = x - 7\)[u] Differentiate [Basic Power Rule, Derivative Properties]: \(\displaystyle du = dx\)Integral 2
Set z: \(\displaystyle z = x + 7\)[z] Differentiate [Basic Power Rule, Derivative Properties]: \(\displaystyle dz = dx\)Step 5: Integrate Pt. 4
[Integrals] U-Substitution: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14} \bigg( \int {\frac{1}{u}} \, du - \int {\frac{1}{z}} \, dz \bigg)\)[Integrals] Logarithmic Integration: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14} \bigg( \ln |u| - \ln |z| \bigg) + C\)[Variables] Back-Substitute: \(\displaystyle \int {\frac{1}{x^2 - 49}} \, dx = \frac{1}{14} \bigg( \ln |x - 7| - \ln |x + 7| \bigg) + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
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:
Introduction - Surface Area of Composite Figures
Peacing
Acellus
Find the surface area of the composite figure.
ch
5
3 in.
11 in.
3 in.
3 in.
Help Resources
6 in
6 in.
11 in.
8 in.
SA
[?] in.2
If you'd like
you can use a
calculator
Enter
Copyright © 2003-2022 International Academy of Science. All Rights Reserved.
Answers
The surface area of the figure is:
3 × 11 × 2 + 3 × 3 × 2 + 6 × 8 × 2 + 11 × 6 × 2 + 8 × 11 × 2
= 66 + 18 + 96 + 132 + 176
= 488in² (addition)
(Please give me positive feedback!! Thank you <3)
A terminating decimal, suchas 0.75, has an exact numberof nonzero digits. Which of the following fractions cannot be written as a terminating decimal
Answers
The solution is, 0.75 can be written as fraction = 3/4.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
A terminating decimal, such as 0.75, has an exact number of nonzero digits.
so, it can be written as fraction
0.75
=75/100
=3/4
Hence, The solution is, 0.75 can be written as fraction = 3/4.
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Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Answers
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answers
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, \(\overline x_1\) = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, \(\overline x_2\) = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; \(\overline x_1\) ≥ \(\overline x_2\)
The alternative hypothesis, Hₐ; \(\overline x_1\) < \(\overline x_2\)
The degrees of freedom = 16 - 1 = 15
The test statistic, \(t_{\alpha}\) = 1.341
\(t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}\)
Plugging in the values, we get;
\(t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675\)
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; \(\overline x_1\) ≥ \(\overline x_2\)
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
Answers
Answer:
321.50 dollars.
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.
Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.
Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.
Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.
Translate the sentence into an equation or formula.
The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length (
l
) times width, and length times height.
Answers
A translation of the equation for the surface area of this rectangular prism is given by: SA = 2(WH + LW + LH).
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
How to translate the sentence into an equation or formula?Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:
SA = 2(WH + LW + LH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.In this context, we can reasonably and logically deduce that a translation of the equation for the surface area of this rectangular prism is given by:
SA = 2(WH + LW + LH).
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Find the volume of the following cube.
A. 12 cubic yards
B. 16 cubic yards
C. 46 cubic yards
D. 64 cubic yards
Answers
Step-by-step explanation:
Volume of a cube
= (Side length of cube)³
= (4 yards)³
= 64 cubic yards. (D)
64 cubic yards
To find the volume of a cube you times the two bottom numbers by each other just as if you were just finding the area
(4*4=16)
then multiply the "area" (I call it the floor lol) by the height (16*4=64)
Translate "the sum of 6 and the product of 8 and x" into a mathmatical expression
Answers
Answer:
6 + 8x
Step-by-step explanation:
Expand. Put the boxes in order to show the correct expansion.
Response 4 should be + or -
loga z5y3 =
:: log
:: logi
:: logs
:: logs
:: 5
:: 3
:: 4
:: y3
Answers
Answer:
Box-4 → (+)
Step-by-step explanation:
To find the value in the 4th box, we will expand the given logarithmic expression.
log₄x⁵y³ = log₄x⁵ + log₄y³
= 5log₄x + 3log₄y
Therefore, each box will have the values as,
Box-1 → 5
Box-2 → log₄
Box-3 → x
Box-4 → (+)
Box-5 → 3
Box-6 → log₄
Box-7 → y
There is the (+) sign in Box-4.
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
Answers
The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y= 3.9x+446, and for women, the equation is y= 14.2x+316, where x is the number of years after 1970.
Answers
Answer:
if what I think you want is the number of bachelor degrees from from 1970 to 2014 for both men and women is then:
men: 617.6
women: 940.8
Step-by-step explanation:
from 1970 to 2014 it is 44 years so we plug 44 into x for both equations
Men:
y = 3.9(44) + 446
y = 171.6 + 446
y = 617.6
Women:
y = 14.2(44) + 316
y = 624.8 + 316
y = 940.8
Maggie's goal was to collect 80 canned goods foſ a food drive. So far,
she has collected 60 cans. What percent of her goal did Maggie reach?
A. 60%
B. 65%
C. 70%
D. 75%
Answers
Answer:
the percentage of 60/80 is 75
Mark casts a shadow that is 4 feet long . At the same time , a nearby tree casts shadow that is 20 feet long . If Mark is 6 feet tall , how tall is the tree?
Answers
What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answers
Answer:
d. -4
Step-by-step explanation:
4p – 12 = 8 + 4p + 5p4p – 12 = 8 + 9p4p – 9p = 8 + 12– 5p = 20p = 20 ÷ (– 5)p = – 4What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answer:-Option d. -4
Explanation:-=> 4p – 12 = 8 + 4p + 5p
=> 4p - 4p - 5p = 8 + 12
=> -5p = 20
=> p = 20/(-5)
=> p = -4
Translating english expressions to mathematical expressions
Identify the following as either expression or sentence
1. 8x + 18
2. 2 < 5
3. The set {}
4. 36 degrees
5. x = 3x - 5
Answers
The following area tagged expression or sentence as;
1. Expression
2. Expression
3. Sentence
4. Sentence
5. Expression
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.
These expressions are also identified with various mathematical or arithmetic operations, such as;
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the age of some kids that partecipate to a race are
13 13 17 16 15 15 18 14 18 17 16 17 15 15 15 14 15 14 16 15
a) put from least to biggest, create a table and calcolate the absolute frequency, relative and percentual.
b) Reppresent graphically with a histogram the absolute frequency.
c) calcolate mode mean median
Calcolate the probability of having
d) 13 years old
e) 14 or 16 years old
f) doesn't have 15 years
I WILL GIVE BRAINLY IF YOU GIVE ME THE RIGHT ANSWERS
Answers
c) Mode: 15 (appears 6 times)
Mean: 15.25
Median: 15
d) Probability of being 13 years old: 2/20 = 0.1 or 10%
e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%
f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%
a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:
13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18
Age Absolute Frequency Relative Frequency Percentual Frequency
13 2 2/16 12.5%
14 2 2/16 12.5%
15 5 5/16 31.25%
16 2 2/16 12.5%
17 3 3/16 18.75%
18 2 2/16 12.5%
b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:
c) To calculate the mode, mean, and median:
Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.
Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:
(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3
Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.
d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):
Probability of 13 years old = 2/20 = 0.1 or 10%
e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):
Probability of 14 or 16 years old = 4/20 = 0.2 or 20%
f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):
Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%
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Which of the following is a unit in abstract mathematical system subject to the laws of arithmetic? A. number B. natural number C. integer D. negative number E. rational number
Answers
(A) Numbers are a unit in an abstract mathematical system that follow arithmetic principles.
What is a number?A number is a numerical unit of measurement and labeling in mathematics.
The natural numbers 1, 2, 3, 4, and so on are the first examples.
Number words are a linguistic way to express numbers.
Most commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.
In an abstract mathematical system, numbers are a unit governed by the rules of arithmetic.
Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number because only a small number of symbols can be learned.
Therefore, (A) numbers are a unit in an abstract mathematical system that follow arithmetic principles.
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The graph of the function f(x) = (x+2)(x + 6) is shown
below.
N
64 2
-2+
Mark this and return
-4
9
2 4 6
X
What is true about the domain and range of the function?
O The domain is all real numbers, and the range is all
real numbers greater than or equal to-4.
O The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers.
50:45
O The domain is all real numbers such that-6 ≤x≤-2,
and the range is all real numbers greater than or equal
to-4.
The domain is all real numbers greater than or equal
to
-4, and the range is all real numbers such that-6 ≤ x
S-2.
Save and Exit
Next
Submit
Answers
The domain is all real numbers, and the range is all real numbers greater than or equal to -4.
Calculating the domain and range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = (x + 2)(x + 6)
The above equation is a quadratic function
The rule of this function is that
The domain is the set of all real numbers
For the range, we expand and calculate the vertex
So, we have
f(x) = x² + 8x + 12
The x-coordinate of the vertex is
x = -8/(2 * 1)
x = -4
The x-coordinate of the vertex is
f(-4) = (-4)² + 8(-4) + 12
f(-4) = -4
So, the range is
y ≥ -4
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Which product is positive?
Answers
Answer:
The 3rd one
Step-by-step explanation:
Can have brainliest
Answer:
The 3rd one
Step-by-step explanation:
hope it helps
also can i have brainlist
4 +2y+m how many terms?
Answers
Answer:
2
Step-by-step explanation:
The equation has 2 terms in it which means 2 is the answer.
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
What is the rental cost? Step by step.
Answers
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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Suppose that a password for a computer system must have at least 8, but no more than 12, characters, where each character in the password is a lowercase English letter, an uppercase English letter, a digit, or one of the six special characters ∗, >, <, !, +, and =.
a) How many different passwords are available for this computer system?
b) How many of these passwords contain at least one occurrence of at least one of the six special characters?
c) Using your answer to part (a), determine how long it takes a hacker to try every possible password, assuming that it takes one nanosecond for a hacker to check each possible password.
Answers
Part a)
There are 52 letters (26 lowercase and 26 uppercase), 10 digits, and 6 symbols. There are 52+10+6 = 68 different characters to choose from.
If there are 8 characters for this password, then we have 68^8 = 4.5716 * 10^14 different passwords possible.If there are 9 characters, then we have 68^9 = 3.1087 * 10^16 different passwordsIf there are 10 characters, then we have 68^10 = 2.1139 * 10^18 different passwordsIf there are 11 characters, then we have 68^11 = 1.4375 * 10^20 different passwordsIf there are 12 characters, then we have 68^12 = 9.7748 * 10^21 different passwordsAdding up those subtotals gives
68^8+68^9+68^10+68^11+68^12 = 9.9207 * 10^21
different passwords possible.
Answer: Approximately 9.9207 * 10^21======================================================
Part b)
Let's find the number of passwords where we don't have a special symbol
There are 52+10 = 62 different characters to pick from
If there are 8 characters for this password, then we have 62^8 = 2.1834 * 10^14 different passwords possible. If there are 9 characters, then we have 62^9 = 1.3537 * 10^16 different passwords If there are 10 characters, then we have 62^10 = 8.3930 * 10^17 different passwords If there are 11 characters, then we have 62^11 = 5.2037 * 10^19 different passwords If there are 12 characters, then we have 62^12 = 3.2263 * 10^21 different passwordsAdding those subtotals gives
62^8+62^9+62^10+62^11+62^12 = 3.2792 * 10^21
different passwords where we do not have a special character. Subtract this from the answer in part a) above
( 9.9207 * 10^21) - (3.2792 * 10^21) = 6.6415 * 10^21
which represents the number of passwords where we have one or more character that is a special symbol. I'm using the idea that we either have a password with no symbols, or we have a password with at least one symbol. Adding up those two cases leads to the total number of passwords possible.
Answer: Approximately 6.6415 * 10^21======================================================
Part c)
The answer from part a) was roughly 9.9207 * 10^21
It will take about 9.9207 * 10^21 nanoseconds to try every possible password from part a).
Divide 9.9207 * 10^21 over 1*10^9 to convert to seconds
(9.9207 * 10^21 )/(1*10^9) = 9,920,700,000,000
This number is 9.9 trillion roughly.
It will take about 9.9 trillion seconds to try every password, if you try a password per second.
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To convert to hours, divide by 3600 and you should get
(9,920,700,000,000)/3600 = 2,755,750,000
So it will take about 2,755,750,000 hours to try all the passwords.
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Divide by 24 to convert to days
(2,755,750,000)/24= 114,822,916.666667
which rounds to 114,822,917
So it will take roughly 114,822,917 days to try all the passwords.
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Then divide that over 365 to convert to years
314,583.334246576
which rounds to 314,583
It will take roughly 314,583 years to try all the passwords
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Answers:9.9 trillion seconds2,755,750,000 hours114,822,917 days314,583 yearsAll values are approximate, and are roughly equivalent to one another.
A) 9,920,671,339,261,325,541,376 different passwords are available for this computer system.
B) 875,353,353,464,234,606,592 of these passwords contain at least one occurrence of at least one of the six special characters.
C) It would take 314,582.42 years for a hacker to try every possible password.
To determine how many different passwords are available for this computer system; how many of these passwords contain at least one occurrence of at least one of the six special characters; and how long it takes a hacker to try every possible password, assuming that it takes one nanosecond for a hacker to check each possible password, the following calculations must be performed:
26 + 26 + 10 + 6 = 68 A) 68 ^ 12 + 68 ^ 11 + 68 ^ 10 + 68 ^ 9 + 68 ^ 8 = X 9,920,671,339,261,325,541,376 = XB)6 x (68^11) + 6 x (68^10) + 6 x (68^9) + 6 x (68^8) + 6 x (68^7) = X875,353,353,464,234,606,592 = XC)1 nanosecond = 1,66667e-11 minutes9,920,671,339,261,325,541,376 nanoseconds = 165344522321.02209473 minutes165344522321.02209473 minutes = 2755742038.6837015152 hours2755742038.6837015152 hours = 114822584.94515423477 days114822584.94515423477 days = 314582.4245072719059 years
Learn more in https://brainly.com/question/19912049
rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answers
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Answers
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.
4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.
Find a unit vector that is orthogonal to both u and v
.u = −8, −6, 4
v = 17, −18, −1
Answers
Answer:
\left(\frac{\sqrt{78}}{30},\ \frac{\sqrt{78}}{39}\ ,\frac{41\sqrt{78}}{390}\right)