47
Step-by-step explanation:
it is a vertical angle
Answer:
47
Step-by-step explanation:
- A way you can answer is to do 180 - 47 which is 133
- Do 180 - 133 = 47.
-So Basically The answer is the opposite (In Simple Terms)
Find the length of the following parametric curve: x=e^t + e^-t
, y= 5 - 2t 0<= t <= 1
The length of the curve is \(e-e^-1.\)
The length of the parametric curve is given by the integral formula:
\(\int_{t_{1}}^{t_{2}}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}dt\)
The given parametric curve is: \(x=e^t + e^-t, y= 5 - 2t 0 < = t < = 1\)
The first derivative of x wrt t is:
\(\frac{dx}{dt} = e^t-e^{-t}\)
The first derivative of y wrt t is:
\(\frac{dy}{dt} = -2\)
The length of the curve is given by the following integral:
\({\int_{0}^{1}}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}dt\\=\int_{0}^{1}\sqrt{(e^t-e^{-t})^{2}+(-2)^{2}}dt\\=\int_{0}^{1}\sqrt{e^{2t}-2+e^{-2t}+4}dt\\=\int_{0}^{1}\sqrt{(e^{t}+e^{-t})^{2}}dt\\=\int_{0}^{1}(e^{t}+e^{-t})dt\\=[e^{t}-e^{-t}]_{0}^{1}\\=(e-e^{-1})-(1-1)= e- e^{-1}\)
Therefore, the length of the curve is \(e-e^-1.\)
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Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80. A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80. Which value could replace x in the table?
Answer:
3(30 - g)
Step-by-step explanation:
# of pounds of Fuji apples = (30 - g)
Cost per pound of Fuji apples = $3 per pound
Total cost of (30 - g) pounds of Fuji apples = 3 * (30 - g)
= 3(30 - g)
Answer:
B. 3(30-g)
Step-by-step explanation:
Got it correct on edg2020
What is the probability of obtaining 3 heads in four flips of a fair coin?
The probability of obtaining 3 heads in four flips of a fair coin is 1/4.
The probability of obtaining 3 heads in four flips of a fair coin can be calculated using the binomial probability formula. The formula is:
\(P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}\)
where P(X = k) is the probability of obtaining k successes (in this case, 3 heads), and n is the total number of trials (in this case, 4 flips).
p is the probability of success on a single trial (in this case, 0.5 since the coin is fair), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
Plugging in the values, we get:
\(P(X = 3) = (4 choose 3) * 0.5^3 * (1 - 0.5)^{(4 - 3)}\)
= 4 * 0.125 * 0.5
= 0.25
Therefore, the probability of obtaining 3 heads in four flips of a fair coin is 1/4 or 0.25
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Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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Cherries cost 4 dollars per pound.my mother r lb of cherries and my father bought 2 lb of cherries.how much more money did my mother spent on cherries than my father
Mother spent (4r - 8) dollars more on cherries than did the father.
An expression using numbers and related operations is called a numerical expression.
According to the question, a pound of cherries costs $4.
Mom purchased r pounds.
The price of the cherry is calculated as follows: 4r = weight x $/lb.
Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.
We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.
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The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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Question content area top
Part 1
Sales Geet sells televisions. He earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Geet sells 13 televisions with extended warranties, he earns $1,105. How much is the fixed amount Geet earns for each television?
Step-by-step explanation:
Let's say the fixed amount Geet earns for each television is "x".
Then, for each television sold with an extended warranty, Geet earns x + $20.
So, for the 13 televisions sold with extended warranties, Geet earns a total of 13(x + $20) = 13x + $260.
We know that Geet earned $1,105 in total, so we can set up the following equation:
13x + $260 = $1,105
Solving for x, we can simplify the equation as follows:
13x = $1,105 - $260
13x = $845
x = $65
Therefore, the fixed amount Geet earns for each television is $65.
Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Required: a. Compute the population mean. (Round your answer to 1 decimal place.) b. Compute the standard deviation. (Round your answer to 2 decimal places.) c. If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed
Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:
a. The mean is of: 3.3
b. The standard deviation is of: 1.23.
c. They would have a mean of 3.3 and a standard deviation of 0.55.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this problem, the mean is given by:
M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3
The standard deviation is:
\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)
What does the Central Limit Theorem states?It states that for distribution of sample means of size n:
The mean remains constant.The standard deviation is of S/sqrt(n).Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.
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help this is really hard for me, I need it rn
ALSO I NEED A COMPLETE SOLUTION
don't just use a calculator pls
Answer:
So this is an inequality and can be easily solved if its opposite number is done with both the sides. There are some inequality rules which are:
1. when absolute values removed; the number in the oppostite side becomes negative and if negative then positive. And the signs are changed to its opposite sign. Like greater than to less than or vise versa.
2. When both the sides are divided or multiplied by a negative number the signs are changed.
I - 7b + 5 I ≤ 33
- 7b + 5 ≥ -33
- 7b + 5 - 5 ≥ - 33 - 5
- 7b ≥ - 38
-7b/-7 ≥ -38/-7
b ≤ 5.428
Brainliest pls if it was correct!
tony says,"josh will dance"(into indirect)
Use the equation y-6= to fill in the missing values in the table below
Using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
How to Apply an Equation?Given the equation, y - 6 = x/4, we can rewrite the equation as:
y = x/4 + 6
For x = 12, we have:
y = 12/4 + 6 = 3 + 6
y = 9
For x = 0, we have:
y = 0/4 + 6 = 0 + 6
y = 6
For y = 4, we have:
4 = x/4 + 6
4 - 6 = x/4
-2 = x/4
-8 = x
x = -8
For y = -3, we have:
-3 = x/4 + 6
-3 - 6 = x/4
-9 = x/4
-36 = x
x = -36
Thus, using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
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2) find the equations of the straight lines given the slope m and one point. be prepared to show your work on paper to your teacher. m= -2 point (-1,-2) x1= _______ y1=_____ equation: _________________
The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.
To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:
−y − y₁ = m(x−x₁ )
where m is the slope of the line, and (x₁, y₁) is the given point.
In this case, m = -2 and the point is (-1, -2). So we have:
x₁ = -1
y₁ = -2
m = -2
Substituting these values into the point-slope form, we get:
y−(−2)=−2(x−(−1))
Simplifying and rearranging terms, we get the equation of the line:
y + 2 = -2x - 2
y = -2x - 4
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What’s the solution to |a+4|=6
A machine of a fast food restaurant produces a bag of French fries
every minute, but half of them will be consumed every 10 minutes. If
it is 08:00 now and there are 18 bags of French fries inthat restaurant,
at most how many bag(s) of French fries is/are there after 36 minutes?
Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP
Angle 1 - 60 degrees
Angle 2 - 30 degrees
Angle 3 - 60 degrees
Angle 4 - 30 degrees
What’s the answer????(i will mark whoever answers the question right as Brainelist)
You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds. What absolute value inequality can be used to describe the tolerance of the weight of the turkey?
Given:
You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds.
To find:
The absolute value inequality that can be used to describe the tolerance of the weight of the turkey
Solution:
Let x be the actual weight of the turkey.
It will accepted, if its weight is between 1.54 and 1.46 pounds.
\(1.46\leq x\leq 1.54\)
Subtract 1.5 from each side.
\(1.46-1.5\leq x-1.5\leq 1.54-1.5\)
\(-0.04\leq x-1.5\leq 0.04\)
\(|x-1.5|\leq 0.04\)
Therefore, the required absolute inequality is \(|x-1.5|\leq 0.04\).
a certain type of bacteria, given a favorable growth medium, doubles in population every 10 hours. given that there were approximately 20 bacteria to start with, how many bacteria will there be in two and a half days?
For a bacteria population which become doubles in every 10 hours and the initial 20 bacteria number. Then the bacteria population after two and half days is equal to the 113.14.
There is a certain type of bacteria. The favorable growth medium, doubles in population every 10 hours. Initial bacteria population, a₀ = 20
We have to determine number of bacterias will there be in two and a half days, x = 2 + 1/2
= 5/2 days
The exponencial growth function that makes this work is written as
\(y = a_02^x\), where
y is the total number of bacteria after some time has passed, a₀ --> the amount of bacteria in the beginning x --> the amount of hours that has passed.Since they double every 10 hours. So, the equation is written by,
\(y = 20 × 2^{5/2} \)
= 113.14
Hence, required value is 113.14.
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What is the solution set of the equation |2x+3|=7 in the set of rational numbers?
A, {4,-10}
B, {5,-2}
C. {4,5}
D. {-5,2}
Answer:
d
Step-by-step explanation:
-10=-5*2; 4=2*2
l-10+3l= 7; l4+3l=7
==================================================
Work Shown:
|2x+3| = 7 means either 2x+3 = 7 or 2x+3 = -7
Solve each for x
2x+3 = 7
2x = 7-3
2x = 4
x = 4/2
x = 2 is one solution
Repeat for the other equation
2x+3 = -7
2x = -7-3
2x = -10
x = -10/2
x = -5 is the other solution
------
Each solution can be checked by plugging it back into the original equation and simplifying. You should get the same number on both sides
For instance, checking x = -5 leads to
|2x+3| = 7
|2(-5)+3| = 7
|-10+3| = 7
|-7| = 7
7 = 7
Which confirms x = -5. I'll let you check x = 2.
Watches and bacteria: A group of researchers investigated the contamination of medical personnel watches at a New York hospital, since there is a potential for patient exposure to potentially dangerous bacteria.They sampled watches worn by physicians, physician assistants, and medical students at a teaching hospital in New York. Nearly half (46.6%) of the watches tested harbored microorganisms that can cause illness. By comparison, only one of the 10 watches worn by security guards tested positive for a disease-carrying microorganism. The researchers want to determine if the difference is statistically significant.Which of the following is an appropriate statement of the null hypothesis, H0?A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.B. The proportion of contaminated wrist-watches from medical personnel is not the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p not equal 46.6%.C. The proportion of contaminated wrist-watches from medical personnel is greater than the proportion of contaminated wrist-watches from security guards, i.e., H0: p > 46.6%.
An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.
What is a null hypothesis?In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.
For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:
H₀: p = 10.
Ha: p < 10.
In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.
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3. Sheila is creating a graph of the outside temperatures, t, at her house for math class. Which
would be a reasonable range for Sheila's graph if she collected data throughout the year?
A.-98°F
B.-125°F
C. 100°F
D. 25°F
Answer:
Step-by-step explanation:
Answer:
29°F < t < 94°F
Step-by-step explanation:
Please help me I don’t understand
Answer: I don't understand either :{
But I do know that you have to look at the little letters to answer the questions about the triangle. Like when it asks, "What are the possible values for x?" you have to find x then say what the possible values for x are. Hope that helps a little bit
Huy is painting eight styrofoam cubes for a science project. the side length of the cube measures 6 1/2 inches. What is the total surface area that Huy will paint
Answer:
2028 square inches
Step-by-step explanation:
The side length of the styrofoam cube measures 6 1/2 inches.
Step 1
We find the surface area of a cube
The formula is given as
Surface Area = 6a²
Where a = Side length of the cube = 6 1/2 inches
Hence,
Surface area of a cube = 6 × (6 1/2inches)²
= 253.5 square inches
Step 2
Huy is painting eight styrofoam cubes for a science project.
The total surface area that Huy will paint is calculated as:
1 styrofoam cube = 253.5 square inches
8 styrofoam cubes = x
Cross Mulitiply
x = 8 × 253.5 square inches
x = 2028 square inches
Therefore, the total surface area that Huy will paint is 2028 square inches.
Solve for m.
m+13<−214
m>−11112
m>−2712
m<−11112
m<−2712
Answer:
You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^
The correct answer is m<- 2 7/12
Step-by-step explanation:
This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities
Good luck everyone of the rest !!!!
The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
What is inequality? What is a mathematical function, equation and expression? inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are the inequalities and it is asked to solve for [m].
The given inequalities are given as follows -
m + 13 < − 214
m > − 11112
m > − 2712
m < − 11112
m < − 2712
Now, we can write -
m + 13 < − 214
m < - 214 - 13
m < - 227
Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)
Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
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Find the value of √√441 + √16 + √4
Answer:
Your answer would be 10.582575695, the rounded answer would be 10.60.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
A coffee table is on sale for 15% off the original price of $125.
If there is 6% sales tax, what is the final price of the coffee table?
Answer:
112.625
Step-by-step explanation:
im not good at explaining
1. 125/X 100/15
2. 125 x 15= 1875
3. 1875 / 100 = 18.75
now gotta subtract since 18.75 is 15% of 125
4. 125 - 18.75 = 106.25
The tax
106.25/X 100/6
106.25 x 6 = 637.5
637.5 / 100 = 6.375
106.25 + 6.375 = 112.625
so 112.625 is the price of the coffee table
this was a lot of work
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=52°, and FG = 4.3 feet. Find the length of HF to the nearest tenth of a foot.
Answer:2.6
Step-by-step explanation:
Answer:
2.6
Step-by-step explanation:
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER PLEASE HELP AND IF YOU DONT KNOW THE ANSWER DONT ANSWER!*How many people participated in the survey given the data in the histogram below?
Question 1 options:
7 people
12-15 people
20 people
0 people
Answer:
20 people participated in the survey.
What is the area in square centimeters of the triangle below?
Answer:
it's 10 times 7 divided by 2