Answers
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
also the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
let
\(log_{5}\)\(\sqrt[4]{5}\) = n , then
\(\sqrt[4]{5}\) = \(5^{n}\) , that is
\(5^{\frac{1}{4} }\) = \(5^{n}\)
since bases on both sides are the same, both 5 , then equate the exponents
n = \(\frac{1}{4}\) ( = 0.25 )
Related Questions
5 hours 42 minutes 53 seconds+ 6 hours 17 minutes 27 seconds
Answers
Answer:
11 hours 59 minutes 33 seconds.
Step-by-step explanation:
5h+6h=11
42m+17m=59
6s+27s=33
Hope this has helped, have an amazing day.
Help me pls I will mark brainlist
Answers
Answer:
447
Step-by-step explanation:
Help me pleaaase!!!!!!!
Answers
Answer: The answer is D.
Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.
factorise fully:
1) 2014² - 2013²
please explain and help
Answers
The rule of the “difference of two squares” says $$2014^2 - 2013^2 = (2014 +2013) * (2014 - 2013)$$
= (2014 +2013) * (2014 - 2013)
= 4027 * 1
= 4027
What correctly rewrites 30+45 as the product of the greatest common factor and the sum of two numbers?
Group of answer choices
15(2+45)
15(2+3)
None of These
2(15+3)
3(10+15)
Answers
Answer:
15(2+3)
Step-by-step explanation:
30+ 45= 75
(2+3)= 5
15*5= 75
Hope this helps
Good day!
2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answers
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.
Tuff question I need help
Answers
The correct expression is 6^(-11).
What are exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
Given:
6^(-5) / (6^2)^3
Now, using laws of exponents
(a^m)^n = a^(mn)
6^(-5) / (6^6)
again using laws of exponents
a^m/ a^n= a^(m-n)
So, 6^(-5-6)
=6^(-11)
Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).
Learn more about exponents and powers here:
https://brainly.com/question/15722035
#SPJ1
Using the given information, find the mean, median, and mode.
Answers
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
For such more question on median
https://brainly.com/question/26177250
#SPJ8
X+ 2 = 5 and y-3 = 2
Answers
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
The difference of two numbers is 12 while their product is 45. Find all
such numbers
Answers
If you multiple 15 and 3 it will get you the product of 45
The difference is 12 of the two numbers
Mean Calculations Q3: The mean of 8 numbers is 14. What is the total of the numbers? 84 1.75 112 22
Answers
Answer:
84.
Step-by-step explanation:
mean = total of the values / number of numbers
If the total of the numbers = T:
14 = T / 8
T = 8*14 = 84.
f(t)=t+2
g(t)=t^2-2
find f(1)-g(1)
^2 is meant to be an exponent
Answers
Answer:
\(f(1) -g(1) = 4\)
Step-by-step explanation:
Solving for \(f(1)\):
\(f(1) = 1 +2 \\ f(1) = 3\)
Solving for \(g(1)\):
\(g(1) = 1^2 -2 \\ g(1) = 1 -2 \\ g(1) = -1\)
Solving for \(f(1) -g(1)\):
\(f(1) -g(1) = 3 -(-1) \\ f(1) -g(1) = 3 +1 \\ f(1) -g(1) = 4\)
i am confused on finding the answer i have tried a few times and i do not understand
Answers
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
Consider a banking system where the Federal Reserve uses required reserves to control the money supply. (This was the case in the U.S. prior to 2008.) Assume that banks do not hold excess reserves and that households do not hold currency, so the only form of money is demand deposits. To simplify the analysis, suppose the banking system has total reserves of $400. Determine the money multiplier and the money supply for each reserve requirement listed in the following table.
Answers
The determination of the money multiplier and the money supply for each reserve requirement listed in the following table are as follows:
Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5 20 $8,000
10 10 $4,000
What is the money multiplier?The money multiplier is the ratio of the reserve to the money supply.
The formula for determining the money multiplier is 1/r where r is the reserve ratio.
What is the money supply?The money supply is the total amount of money circulating in the commercial banking system.
The quantity of the money supply is determined by multiplying the money multiplier by the total reserves.
Data and Calculations:Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5 20 (1/0.05) $8,000 ($400 x 20)
10 10 (1/0.1) $4,000 ($400 x 10)
Question Completion:
Reserve Requirement Simple Money Money Supply
(percent) Multiplier (Dollars)
5
10
Thus, the money multiplier and money supply for the 5% reserve requirement are higher than for the 10% reserve requirement.
Learn more about money multiplier, reserves, and money supply at https://brainly.com/question/4412587
#SPJ1
A number is one thousandth of 78,962. What is the number?
Answers
Answer:
78.962
Step-by-step explanation:
its just moving the decimal
The following data summarizes results from 1000 pre-employment drug screening tests. If one of the test subjects is randomly selected, find the probability that the subject had a positive test result or a negative test result.
Positive Test Result Negative Test Result
Subject Uses Drugs 76 6
Subject Is Not a Drug User 95 823
P (subject had a positive test result or a negative test result)= simplify your answer.
Answers
Answer:
P (subject had a positive test result or a negative test result) = 1
Step-by-step explanation:
Given
The table above
Required
P (subject had a positive test result or a negative test result)
This is calculated as follows;
P (subject had a positive test result or a negative test result) =
P (subject had a positive test result) + P (subject had a negative test result)
Calculating P (subject had a positive test result)
This can be calculated by number of subjects with positive results divided by 1000
Only data from the column of subjects with positive results will be considered.
Number of Subjects = Subjects that uses drugs + Subjects that do not use drugs
Number of subjects = 76 + 95
Number of Subjects = 171
P (Subject had a positive test Result) = 171/1000
Calculating P (subject had a negative test result)
This can be calculated by number of subjects with negative results divided by 1000
Only data from the column of subjects with negative results will be considered.
Number of Subjects = Subjects that uses drugs + Subjects that do not use drugs
Number of subjects = 6 + 823
Number of Subjects = 829
P (Subject had a negative test Result) = 829/1000
Hence, P (subject had a positive test result or a negative test result) =
P (subject had a positive test result) + P (subject had a negative test result) = 171/1000 + 829/1000
P (subject had a positive test result or a negative test result) = (171 + 829)/1000
P (subject had a positive test result or a negative test result) = 1000/1000
P (subject had a positive test result or a negative test result) = 1
Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
Answers
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
For more questions on: probability
https://brainly.com/question/23417919
#SPJ8
in washington, 7 people were originally infected, and the virus is spreading at a rate of 50% each day. however there has been an outbreak in italy. only 3 people were originally infected, but the virus is spreading at a rate of 75% each day. which place should you help first
Answers
bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan
Answers
Answer:
4 / 6 or 2/3
pecan total tree
Answer:
2/3
Step-by-step explanation:
So, Bill planted -
Pecan trees = 4
Apple trees = 2
Total trees = 6
We want the fraction of Pecan trees. Thus,
4/6
Where 4 is Pecan trees, (What we want)
And 6 is the total.
4/6 in its simplest form is 2/3.
I hope it helps.
Analyze the graph of the function f(x) to complete the statement. On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3). f(x)<0 over and what other interval?
Answers
The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
We have,
The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.
Therefore, we can say that:
f(x) < 0 for x < -3 and -1.1 < x < 0.9
And,
The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).
This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:
f(x) > 0 for x > -2.4
Now,
Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).
So,
The interval where f(x) is negative and greater than 0 is:
(-∞, -3) U (-1.1, 0)
Thus,
The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Given f(x) =2x2 + 1 and g g(x) = 3x-5 , find the following. f(g)(2))
Answers
The value of f(g(2)) from the given functions f(x) and g(x) is 3.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=2x²+1 and g(x)=3x-5.
We need to find f(g(2)).
Put x=2 in the function g(x)=3x-5, we get
g(2)=3×2-5
= 6-5
= 1
So, g(2)=1
Put x=1 in the function f(x)=2x²+1, we get
f(g(2))=2(1)²+1
= 2+1
=3
Therefore, the value of f(g(2)) is 3.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calculate the maximum area that he can fence
Answers
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
2 3 Year months A 7 months B 3 months © 8 months D 9 months
Answers
In order to fill the blank space, consider that 1 year = 12 months
Then, you have:
(2/3) · 12 months = 24/3 months = 8 months
C) 8 months
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answers
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
Answers
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
For more such questions on volume
https://brainly.com/question/1972490
#SPJ8
Find Celsius equivalent of 58.3 Fahrenheit. My dad will beat me, Please help.
Answers
Answer:
14.61111 Celsius.
That is the answer.
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
(1/4,f(1/4)) = (1/4,-81/8)
Use the graph below to find the following:
A) what is the slope of the line?
B) what is the y intercept of the line?
C) what is the equation of the line in slope intercept form?
Answers
B.) The y-intercept is b=-5
C.) The equation is: y=-2x-5
which holds the more capacity 0.75 litres or 350ml
Answers
Answer:
0.75 liters
Step-by-step explanation:
1000ml in 1 liter so 0.75*1000=750ml
750ml > 350ml