What is the simplified form of \sqrt((72x^(16))/(50x^(36))) ? Assume x ≠ 0.?
Can someone help me!!!
In a game, you have a 1/36 probability of winning $85 and a 35/36 probability of losing $4. what is your expected value? (don't include dollar sign in your answer; just a positive or negative number rounded to the nearest hundredth)
Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?
(4, -2)
(4, 2)
(-2, 4)
(2, 4)
You get how to do this. Plzz helo me
M and n are integers such that 6 < m < n. what is the value of n ?
Urgent!!! What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1) ?
Best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $81 for 3 days and 300 miles, while mary was charged $145 for 5 days and 600 miles. what does best rental charge per day and per mile?
Find the surface area of the cylinder in terms of .
A) 108 cm2
B) 144 cm2
C) 180 cm2
D) 216 cm2
The surface area of this cylinder in terms of [tex]\pi[/tex] is [tex]216\pi\;cm^2[/tex]
Given the following data:
Height of cylinder = 12 cm.Radius of cylinder = 6 cm.To calculate the surface area of this cylinder in terms of [tex]\pi[/tex]:
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (6)(12) + 2\pi (6)^2\\\\S.A = 144\pi+72\pi\\\\S.A = 216\pi\;cm^2[/tex]
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Which expression is another way to show 9/2?
2x 1/9
2x 9/2
2 divide by 9
9 divided by 1/2
9 divided by 2
If f(x) =3x-2, find f-1(x)
To find the inverse of a function, follow these steps: replace f(x) with y, interchange x and y, solve for y, and replace y with f-1(x). Applying these steps to the given function f(x) = 3x - 2 results in the inverse function f-1(x) = (x + 2)/3.
Explanation:To find the inverse of a function, we can follow these steps:
Replace the function notation f(x) with yInterchange x and y in the equationSolve the resulting equation for yReplace y with f-1(x)Let's apply these steps to the given function f(x) = 3x - 2:
Replace f(x) with y: y = 3x - 2Interchange x and y: x = 3y - 2Solve for y: x + 2 = 3yTherefore, the inverse of the function f(x) = 3x - 2 is f-1(x) = (x + 2)/3.
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The inverse function of [tex]\( f(x) = 3x - 2 \)[/tex] is [tex]\( f^{-1}(x) = \frac{x + 2}{3} \).[/tex]
To find the inverse function [tex]\( f^{-1}(x) \)[/tex] for the given function [tex]\( f(x) = 3x - 2 \)[/tex], follow these steps:
Start with the original function:
[tex]\[ y = 3x - 2 \][/tex]
Swap y and x to find the inverse:
[tex]\[ x = 3y - 2 \][/tex]
Solve for y:
[tex]\[ x + 2 = 3y \][/tex]
[tex]\[ y = \frac{x + 2}{3} \][/tex]
Rewrite y as [tex]\( f^{-1}(x) \):[/tex]
[tex]\[ f^{-1}(x) = \frac{x + 2}{3} \][/tex]
So, the inverse function [tex]\( f^{-1}(x) \)[/tex] is:
[tex]\[f^{-1}(x) = \frac{x + 2}{3}\][/tex]
Complete Question:
If [tex]f(x) =3x-2[/tex], find [tex]f^{-1}(x)[/tex]
Erins water bottle holds 665 milliliters. Dylan is carrying two water bottles. Each one holds 0.35 liters. Who is carrying more water?
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
To make the total monthly cost of Silver Gym and Fit Factor equal, Sarah would have to buy 6 personal training sessions in a single month.
Explanation:Solution:The question is asking to find out how many personal training sessions Sarah would need to take in a month for the cost at Silver Gym to equal the cost at Fit Factor.
To solve this, we need to create an equation. Let's represent the number of personal training sessions as x. For Silver Gym, the total cost in a month would be 30 + 45x, and for Fit Factor, it would be 90 + 35x.
Setting these two expressions equal to each other gives us the equation 30 + 45x = 90 + 35x.
Moving the variable terms to one side and the constants to the other side of the equation gives us 10x = 60.
We solve for x by dividing both sides of the equation by 10 to get x = 6.
This means that Sarah would need to take 6 personal training sessions for the total cost at the two gyms to be equal.
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Find the quotient of 569.7 divided by 10 to the 3 power
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe
30 POINTS!
The generic equation for the curve (shown in the picture) is y = mx +c.
A) True
B) False
Answer:
FALSE
Step-by-step explanation:
The correct equation would be y = mx + b
y --> y coordinate
m --> the slope
x --> x coordinate
b --> the y-intercept
Answer:
false!
Step-by-step explanation:
Y = mx + b is the generic form of a linear equation written in slope-intercept form.
How do you know if it is a adding or subtraction problem when you combine like terms?
Which expressions are equivalent to the one below? Check all that apply.
8^x
A. 32^x/4
B. (32/4)^x
C. 8 * 8^x + 1
D. x^4
E. 32^x/4^x
F. 8 * 8^x-1
Let's analyze each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻².
This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8x are: B, E, and F.
Let's assess each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻². This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8ˣ are: B, E, and F.
Complete Question:
Which expressions are equivalent to the one below? 8x
A. 32ˣ/4
B. (32/49)ˣ
C. 8 × 8ˣ⁺¹
D. x⁴
E. (32ˣ/4ˣ)
F. 8 × 8ˣ⁻¹
Find the length of the side of a square with an area of 144inches squared.
a.48 in
b.12 in
c.206 in
d.288 in
If two people are selected at random, the probability that they do not have the same birthday (day and month) is startfraction 365 over 365 endfraction times startfraction 364 over 365 endfraction . explain why this is so. (ignore leap years and assume 365 days in a year.)
The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).
Explanation:The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.
Let's break down the process:
The probability that the second person does not have the same birthday as the first person is (364/365).Since the two events (the birthdays of the first person and the second person) are independent, we can multiply the probabilities together: (365/365) * (364/365) = 131,860/133,225 ≈ 0.9878.Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.
The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).
Explanation:The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.
Let's break down the process:
The probability that the second person does not have the same birthday as the first person is (364/365).Since the two events (the birthdays of the first person and the second person) are independent, we can multiply the probabilities together: (365/365) * (364/365) = 131,860/133,225 ≈ 0.9878.Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.
The lateral area of a cone is 112π cm^2. The radius is 8 cm. Find the slant height of the cone.
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=25°, and WX = 61 feet. Find the length of XV to the nearest foot.
The length of XV in triangle VWX is approximately 26 feet.
Explanation:To find the length of XV, we can use the trigonometric relationship in a right triangle. In triangle VWX, the measure of angle W is 25° and angle X is 90°. We can use the sine function to find the length of XV. The sine of angle W is equal to the length of the side opposite angle W divided by the length of the hypotenuse. So, we have sin(25°) = XV/61. Rearranging the equation, we get XV = 61 * sin(25°). Plugging in the values, we find that XV is approximately 26 feet.
Find an equation of the circle whose diameter has endpoints , 6−2 and , −4−4 .
Anyone know this geometry question?
The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side
Answer: A2+B2=C2
(๑╹ᆺ╹ ) i hope this is right
Pre-image ABCD is dilated to image A'B'C'D'. Squares What scale factor is used to create the dilation?
3
1/3
9
1/9
9 students ask to visit the counselor and each visit includes one student. how many ways can they be scheduled?
Please explain, not just answer!
An open box has a square base and a volume of 32 in3. find the dimensions of the box, assuming a minimum amount of material is used in its construction.
The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean? please provide explination
Daniel ate 0.55 of a candy bar. Which fraction represents the part of the candy bar that Daniel ate?
A. 10/22
B. 11/20
C. 2/5
D. 3/4
E. 11/40
Answer:
The answer is B 11/20
Step-by-step explanation:
To transform a decimal to a fraction you must do the following:
1. Multiply by an specific power of 10 until your decimal becomes a whole number. In this case 0.55 we multiply by 10 ^2 or 100 and we obtain 55.
2 Divide the decimal by this same power of 10 so that you do not change the original value. For example
0.55 *(100/100) = 55/100 As you see Im multiplying and dividing by 100 ( thats equivalent to 1 so it doesnt change the original number)
3 Simplify the fraction
To simplify your fraction you must find the Greatest Common Factor of 55 and 100. For doing this, you only perform a prime factorization. Divide 55 and 100 by the smallest common prime factor, besides 1. (For this case is 5) until you arrive to two number without common prime factors.
55/5 = 11
100/5 = 20
As 11 and 20 have no common prime factors it is the most simplified fraction