z=5 is a solution choose 3 answers
A
8=z+3


B
z-1=6z


C
20=40÷z


D
12z=60


E
12+z=60

Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

Answer:

1,008 pairs of earrings

Step-by-step explanation:

14 multiplied by 72 equals 1,008

A triangle whose sides are all equal is called an equilateral triangle and its area is given by A=\(\frac{\sqrt{3} }{4}\) \(x^{2}\), where x is the side of the triangle.

The area of a rectangle is found by using the formula

A=lw, where l is the length and w is the width.

The given figure can be split into two shapes: a rectangle and an equilateral triangle as shown in the diagram. Let l be the length of the rectangle.

Add all of the sides of the window and equate their result to 16. Then solve for l.

x + x + l + x + l = 16

3x + 2l = 16

2l = 16 - 3x

l = \(\frac{16-3x}{2}\)

The total area of the window will be the sum of the area of the equilateral triangle ABE and the area of rectangle BCDE.

A = \(\frac{\sqrt{3} }{4}\)\(x^{2}\) + lx

Subsitute  \(\frac{16-3x}{2}\) for l into the obtained equation and simplify.

A =\(\frac{\sqrt{3} }{4}\)\(x^{2}\) + ( \(\frac{16-3x}{2}\))x

A = \(\frac{\sqrt{3} }{4} x^{2}\) + 8x - \(\frac{3}{2} x^{2}\)

Differentiate the obtained equation with respect to x and equate the first derivative to 0 to calculate the critical point x .

\(\frac{dA}{dx}\) = \(\frac{\sqrt{3} }{4}\) (2x) + 8 - \(\frac{3}{2}\) (2x)

0 = \(\frac{\sqrt{3} }{2}\) x - 3x + 8

x (3 - \(\frac{\sqrt{3} }{2}\)) = 8

x = \(\frac{16}{6-\sqrt{3} }\)≈3.74887

Again, differentiate the equation

\(\frac{dA}{dx}\) = \(\frac{\sqrt{3} }{2}\)x - 3x + 8  with respect to x.

\(\frac{d^{2}A }{dx^{2} }\) = \(\frac{\sqrt{3} }{2}\) - 3

The value of the second derivative is \(\frac{\sqrt{3} }{2}\)−3, which is negative. This implies that the area will be maximum at the critical point.

Subsitute x = 3.74887 into the equation

l = \(\frac{16-3x}{2}\) and simplify

l = \(\frac{16-(3)(.74887)}{2}\) ≈ 2.3767

The maximum light will enter through the window when the triangular portion will have the side length of 3.74887 feet and the dimensions of the rectangular portion will be 3.74887-ft-by-2.3767-ft.

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The probability number of times to roll the number cube to result in a prime number 12 times is 24

How to determine the number of times?

The given parameters are:

Number cube = 6 sides

Number of times= 12

The probability of obtaining a prime number in a six-sided die is:

P(Prime) = 3/6

The number of times (n) is then calculated as:

p * n = 12

Substitute known values

3/6 * n = 12

Evaluate the fraction

1/2 * n = 12

Multiply both sides by 2

n = 24

Hence, the number of times is 24

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Answer:

B

Step-by-step explanation:

Since the distribution of the 10 distances is not uniform, Raul should use the median to determine his total performance.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

Due to the fact that income distribution can be very skewed, the median income, for instance, might be a better indicator of what is considered a "normal" income.

Given that it is the most resilient statistic, the median is crucial to strong statistics.

According to our question-

The home run is an outlier in the data set even if nine lengths are grouped together.

The median is the most accurate indicator of the middle of a data collection including outliers.

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Answer: 26

Step-by-step explanation:

26 + 26 = 52

52 + 3 = 55

55 divided by 5 = 11

Hope this helped : )

Answer:

The silver is now 50 years old and the gold coin is 18 years old

Step-by-step explanation:

first the silver was 32 years old , and it said it would be three times as old as the gold coin, to find the gold coin is to divide 32 and 3 together, that would be 10.6 but you can round the number up, you get 10 years.

you now can just get add 8 years to the 32 and 10

that would be 50 years old silver coin and 18 years for the gold coin.

The test statistic for this test is -0.213.

To test the hypothesis that two populations have the same mean, we can use a two-sample t-test. The test statistic for this test is calculated by taking the difference between the sample means and dividing it by the standard error of the difference.

In this case, the sample averages are 6 and 7, and the standard deviations for the two samples are 16 and 15, respectively. Both samples have 32 observations.

To calculate the test statistic, we first need to calculate the standard error of the difference. This is given by:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

where s1 and s2 are the standard deviations for the two samples, and n1 and n2 are the sample sizes. Plugging in the values we have, we get:

SE = sqrt[(16^2/32) + (15^2/32)]
  = 4.698

Next, we calculate the t-statistic:

t = (x1 - x2) / SE

where x1 and x2 are the sample means. Plugging in the values we have, we get:

t = (6 - 7) / 4.698
 = -0.213

The test statistic for this test is -0.213.

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Eigenvalues and eigenvectors can be calculated using these steps:

To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.

Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.

After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.

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Answer:

2

Step-by-step explanation:

As per the interval, x = 1 and y = 5/2

Substitute x into the expression:

3 - 1 = 2

a. The probability of getting 3 on both dice is 1/36.

b. The probability of each sample point is 1/36.

c. The probability of getting a sum of 7 is 6/36 or 1/6.

d. The probability of getting at least one 5 is 11/36.

e. The probability of getting a sum of 10 or more is 6/36 or 1/6.

a. The sample space for tossing two fair dice can be listed as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

b. Since the dice are fair, each outcome is equally likely.

Therefore, the probability of each sample point is 1/36.

a. The event of getting 3 on both dice can only happen in one way, that is, (3,3).

Therefore, the probability of getting 3 on both dice is 1/36.

b. For the sum of the numbers to be even, either both dice must be odd or both must be even.

There are 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6) on a die. Thus, there are 3 x 3 = 9 ways to get an even sum.

The probability of getting an even sum is therefore 9/36 or 1/4.

c. To get a sum of 7, the following combinations are possible: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).

Therefore, there are 6 ways to get a sum of 7.

Thus, the probability of getting a sum of 7 is 6/36 or 1/6.

d. To get at least one 5, we can either get a 5 on the first die or the second die or both.

There are two ways to get a 5 on one die and one way to get a 5 on both dice.

Thus, the probability of getting at least one 5 is 11/36.

e. There are several ways to get a sum of 10 or more: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6).

Therefore, there are 6 ways to get a sum of 10 or more.

Thus, the probability of getting a sum of 10 or more is 6/36 or 1/6.

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The sets of lengths that are Pythagorean triples are:

A. 10, 24, 26

D. 9, 40, 41

E. 15, 20, 25

A Pythagorean triple can be described as a set of three numbers of the side lengths of a right triangle whereby the square of the longest side is equal to the sum of the squares of the two other sides.

For 10, 24, 26, we have:

10² + 24² = 26²

676 = 676 [true]

The set, 10, 24, 26 is a Pythagorean triple.

For 14, 48, 49, we have:

14² + 48² = 49²

2,500 = 2,401 [not true]

The set, 14, 48, 49, is NOT a Pythagorean triple.

For  9, 12, 16, we have:

9² + 12² = 16²

225 = 256 [not true]

The set, 9, 12, 16, is NOT a Pythagorean triple.

For  9, 40, 41, we have:

9² + 40² = 41²

1,681 = 1,681 [true]

The set, 9, 40, 41, is a Pythagorean triple.

For  15, 20, 25, we have:

15² + 20² = 25²

625 = 625 [true]

The set, 15, 20, 25, is a Pythagorean triple.

The correct set of options are, A, D, and E.

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Therefore, you would need 79 cakes for the party using equation.

To determine the number of cakes needed for the party, we first need to calculate the total number of servings required and then divide that by the number of servings per cake.

The number of clients is 6, and each client requires a cake. Additionally, there are 70 party guests and 3 staff members who also need to be served. Therefore, the total number of servings required can be calculated as:

Total servings = (Number of clients + Number of guests + Number of staff) * Servings per cake

Total servings = (6 + 70 + 3) * 24

Total servings = 79 * 24

Total servings = 1896

Since each cake serves 24 servings, and we need a total of 1896 servings, we divide the total servings by the servings per cake to find the number of cakes needed:

Number of cakes = Total servings / Servings per cake

Number of cakes = 1896 / 24

Number of cakes = 79

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For the function f(x,y) = -7xy + 9y^4 + 3, we have fx(x,y) = -7y and fy(x,y) = -7x + 36y^3. Evaluating at specific points, we find fx(4,-4) = 28 and fy(2,4) = -64.

For the function f(x,y) = e^(x+y) + 7x, we have fx(x,y) = e^(x+y) + 7 and fy(x,y) = e^(x+y). At the point (2,-1), fx(2,-1) = e + 7 and fy(2,-1) = e.

For the function f(x,y) = ln|2 + 5xy^2|, we have fx(x,y) = 5y^2 / (2 + 5xy^2) and fy(x,y) = 10xy / (2 + 5xy^2).

Substituting (-4,1) yields fx(-4,1) = 0.08 and fy(2,-4) = 0.64.

To find the partial derivatives, we differentiate the function with respect to each variable separately while treating the other variable as a constant.

For the function f(x,y) = -7xy + 9y^4 + 3, differentiating with respect to x gives us fx(x,y) = -7y, as the derivative of -7xy with respect to x is -7y, and the other terms are constant with respect to x.

Similarly, differentiating with respect to y gives fy(x,y) = -7x + 36y^3, as the derivative of -7xy with respect to y is -7x, and the derivative of 9y^4 with respect to y is 36y^3.

Evaluating these partial derivatives at specific points, we substitute the given values into the expressions. For fx(4,-4), we have fx(4,-4) = -7(-4) = 28.

Similarly, for fy(2,4), we have fy(2,4) = -7(2) + 36(4^3) = -64.

For the function f(x,y) = e^(x+y) + 7x, differentiating with respect to x gives fx(x,y) = e^(x+y) + 7, as the derivative of e^(x+y) with respect to x is e^(x+y), and the derivative of 7x with respect to x is 7.

Differentiating with respect to y gives fy(x,y) = e^(x+y), as the derivative of e^(x+y) with respect to y is e^(x+y), and the other term does not involve y.

At the point (2,-1), substituting the values into the partial derivatives gives fx(2,-1) = e^(2+(-1)) + 7 = e + 7, and fy(2,-1) = e^(2+(-1)) = e.

For the function f(x,y) = ln|2 + 5xy^2|, differentiating with respect to x gives fx(x,y) = 5y^2 / (2 + 5xy^2), as the derivative of ln|2 + 5xy^2| with respect to x involves the chain rule and simplifies to 5y^2 / (2 + 5xy^2). Differentiating with respect to y gives fy(x,y) = 10xy / (2 + 5xy^2), as the derivative of ln|2 + 5xy^2| with respect to y involves the chain rule and simplifies to 10xy / (2 + 5xy^2).

Substituting the values (-4,1) into the expressions, we have fx(-4,1) = 5(1^2) / (2 + 5(-4)(1^2)) = 0.08, and fy(2,-4) = 10(2)(-4) / (2 + 5(2)(-4)^2) = 0.64.

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Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

Question example:

Tori bought one share of Chipotle stock on Nov 1, 2016 for $396.33. Then, four years later, she sold it and the closing price for that day was $778.38.

a)How much money did she gain/lose with this stock?

b)What was Tori’s return on investment?

Answer and explanation:

The ROI(Return on investment) formula calculates the percentage return on the initial cost of investment.

To calculate return on investment, we must first calculate how much is gained or lost by subtracting price of investment when sold from price of investment when bought.

In the question above, the gain on the investment is gotten by subtracting closing price of Chipotle stock four years later $778.38 from price of Chipotle stock when it was bought on Nov 1, 2016 $396.33= $382.05

By getting our gain or loss on investment first, we are able to find the Return on investment(ROI) in percentage thus: $382.05/$396.33×100/1= 96.39%

We simply cannot divide first before subtraction because we need to get the gain or loss on investment and then express it as a percentage of the initial investment cost to get our ROI

Using percentage formula, Malik can afford the board with the discount only if he has $120 with him

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

To know if Malik can afford the hoverboard, we have to calculate 20% of 150

20% of 150 = 20/100 = x /150

0.2 = x / 150

x = 150 * 0.2

x = 30

Subtracting the discount, the amount will be 150 - 30 = 120

Malik can afford the hoverboard if he has $120 with him.

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Answer:

6,445 feet

Step-by-step explanation:

90-52 = 38

x = \(\frac{2000}{tan 38}\)

x = 6445

Answer:

------------------------------------

Let the height of the other cliff be h.

The angle opposite to h is 52 degrees and the horizontal distance is 2000 feet. The two lengths are the legs of a right triangle.

Use tangent to find the value of h:

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

Answer:

81.67

Step-by-step explanation:

24×10×a=19600

240×a=19600

a=19600/240

a=81.67

Answer:

mm

Step-by-step explanation:

,l

Answer:

6 apples ofc

Step-by-step explanation:

Answer:

10 hours to readm240

Step-by-step explanation:

Answer:

10 hours.

Step-by-step explanation:

If you divide 96 by 4, you get 24. Then divide 240 by 24, and you get 10.