Simplify the expression. (x)^3(−x^3y)^2

Answer:

y = 5x - 21

Step-by-step explanation:

\(y+1=5(x-4)\\y+1=5x-20\\y=5x-21\)

Answer:

a,b,d,f

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer: its A

sorry if im wrong

The equation 890 = 1/3 B(46)  can be used to find the area of the circular base .

Area is the space enclosed  within the perimeter of the given shape.

It is given in the question that Area of the base of a volcano has to be determined.

The structure of a volcano is that of a Cone

Area of a conical structure is given by

V = (1/3) * height * (radius)²

890 = 1/3 (radius)²(46)

V = 890 h = 46

area of a circle = π (radius)²,

890 = 1/3 B(46)

If B = (radius)²

Therefore Option D is the correct answer

890 = 1/3 B(46)  equation can be used to find the area of the circular base .

To know more about Area

https://brainly.com/question/27683633

#SPJ5

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Answer:

We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.

This means that the number of stray cats in a town when the town started the animal control program is 729.

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Where f is the number of stray cats in a town t years since the town started an animal control program.

Since \(f(t) = 729(\frac{1}{3} )^t\)

f(0) = 729(1/3)° = 729

This means that the number of stray cats in a town when the town started the animal control program is 729.

Find out more on Exponential function at: https://brainly.com/question/12940982

The rhetorical device that is used in the following passage from Thomas Paine's pamphlet "The Crisis, No.1"? Sec. 7 are anaphora and parallelism.

The passage from Thomas Paine's pamphlet "The Crisis, No.1"? states "The far and the near, the home counties and the back, the rich and the poor, will suffer or rejoice alike. The heart that feels not now, is dead: the blood of his children will curse his cowardice, who shrinks back at a time when a little might have saved the whole, and made them happy."

The rhetorical device used in this quote is anaphora, the repetition of the word "the." Additionally, the phrase "will suffer or rejoice alike" and the mention of "the heart that feels not now" are examples of parallelism, where the writer is emphasizing the idea of universality by presenting it in a balanced and repetitive manner.

Read more about rhetorical device

brainly.com/question/518481

#SPJ1

Answer:

x = 146

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

x = 48+98

x = 146

Answer:

The sum of all the angles in a triangle is 180 degrees,

We know the measures of two angles, 48 and 98

if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x

48+98=146

180-146 = 34

now, we have to do 180-34 to find the measure of x.

why? any straight line is 180 degrees.

180-34 = 146

x = 146

hope this is correct and it helps you.

The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.9476

To determine the probability

The given parameters are:

True proportion and the mean (p) = 0.06

The samples size (n) = 235

Start by calculating the standard deviation using

\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)

This gives

\(\sigma = \sqrt{\frac{0.06\;*\;(1-0.06)}{235} }\)

\(\sigma = \sqrt{\frac{0.06\;*\;(0.94)}{235} }\)

\(\sigma = \sqrt{\frac{0.0564}{235} }\)

\(\sigma = \sqrt{0.00024 }\)

\(\sigma = 0.01549\)

Next, we calculate the x values

\(x = x_{1} \pm x_{2}\)

where x₁ = 0.06 and x₂ = 0.03

x = x₁ + x₂ , x₁ - x₂

x = 0.06 + 0.03, 0.06 - 0.03

x = 0.09, 0.03

Calculate the z score for both x values

\(z = \frac{x\; - \; \mu}{\sigma}\)

\(z = \frac{0.09\; - \; 0.06}{0.01549}, \frac{0.03\; - \; 0.06}{0.01549}\)

\(z = \frac{0.03}{0.01549}, \frac{-0.03}{0.01549}\)

\(z = 1.94, -1.94\)

The p values at the z scores are:

p = 0.9738, 0.0262

Note: refer to z tables to find the p values

Calculate the difference

p = 0.9738 - 0.0262

p = 0.9476

Hence, the probability that the sample proportion will differ from the population proportion by less than 0.03 is 0.9476

Visit the link below to learn more about probabilities:

brainly.com/question/25870256

#SPJ4

The correlation coefficient for the given data is approximately -0.5027.

We have,

To calculate the correlation coefficient for the given data, we need to follow these steps:

- Calculate the mean of x and y.

-Calculate the difference between each x value and the mean of

x (x_i - x_mean), and the difference between each y value and the mean of y (y_i - y_mean).

-Square each difference.

- Calculate the sum of the squared differences for x and y.

- Calculate the product of the differences for each corresponding x and y value.

- Calculate the sum of the products of the differences.

-Divide the sum of the products of the differences by the square root of the product of the sum of squared differences for x and y.

Let's perform the calculations:

x: 2, 3, 4, 5, 6, 7

y: 24, 22, 9, 11, 15, 14

Step 1: Calculate the mean

x_mean = (2 + 3 + 4 + 5 + 6 + 7) / 6 = 4.5

y_mean = (24 + 22 + 9 + 11 + 15 + 14) / 6 = 16.1667

Step 2: Calculate the differences

x_diff = [2 - 4.5, 3 - 4.5, 4 - 4.5, 5 - 4.5, 6 - 4.5, 7 - 4.5] = [-2.5, -1.5, -0.5, 0.5, 1.5, 2.5]

y_diff = [24 - 16.1667, 22 - 16.1667, 9 - 16.1667, 11 - 16.1667, 15 - 16.1667, 14 - 16.1667] = [7.8333, 5.8333, -7.1667, -5.1667, -1.1667, -2.1667]

Step 3: Square each difference

x_diff_squared =\([(-2.5)^2, (-1.5)^2, (-0.5)^2, (0.5)^2, (1.5)^2, (2.5)^2] = [6.25, 2.25, 0.25, 0.25, 2.25, 6.25]\)

y_diff_squared

\(= [(7.8333)^2, (5.8333)^2, (-7.1667)^2, (-5.1667)^2, (-1.1667)^2, (-2.1667)^2]\\ = [61.3889, 34.0278, 51.5278, 26.6944, 1.3580, 4.6944]\)

Step 4: Calculate the sum of squared differences

sum_x_diff_squared = 6.25 + 2.25 + 0.25 + 0.25 + 2.25 + 6.25 = 17.5

sum_y_diff_squared = 61.3889 + 34.0278 + 51.5278 + 26.6944 + 1.3580 + 4.6944 = 179.6903

Step 5: Calculate the product of the differences

product_diff = [-2.5 * 7.8333, -1.5 * 5.8333, -0.5 * -7.1667, 0.5 * -5.1667, 1.5 * -1.1667, 2.5 * -2.1667] = [-19.5833, -8.7499, 3.5833, -2.5834, -1.7499, -5.4167]

Step 6: Calculate the sum of the products of the differences

sum_product_diff = -19.5833 - 8.7499 + 3.5833 - 2.5834 - 1.7499 - 5.4167 = -34.5

Step 7: Calculate the correlation coefficient

correlation_coefficient = sum_product_diff / √(sum_x_diff_squared * sum_y_diff_squared)

correlation_coefficient = -34.5 / √(17.5 * 179.6903)

correlation_coefficient ≈ -0.5027

Therefore,

The correlation coefficient for the given data is approximately -0.5027.

Learn more about correlation coefficient here:

https://brainly.com/question/29704223

#SPJ4

Answer:

Step-by-step explanation:

Diameter (d) = 5cm

Radius ( r) = d/2 = 5 / 2 = 2.5

Now

Area

= πr²

= 3.14 * (2.5)²

= 19.625 m²

Circumference

= πd

= 3.14 * 5

= 15.7 m

Hope it will help :)

Answer:

(a) 0.00000221    (b) 4.2 x \(10^{5}\)

Step-by-step explanation:

(a)  \(10^{-6}\) means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x \(10^{5}\)

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

had told

we use past perfect tense for wishes

for more dowload grammerly and check

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

To learn more about  truth table click here:

brainly.com/question/29057331

#SPJ11

The surface area of the pyramid is 1702.8 ft².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Rectangular pyramid has a rectangular base and four triangular faces.

Net of the pyramid is shown below.

Area of the rectangular base = 25 × 22 = 550 ft²

Now we have to find the area of four triangular faces.

Area of a triangle = \(\frac{1}{2}\) × base × height

Heights of the triangle BCX and ADZ can be found as below :

Combined height of both triangles = 74.8 - 25 = 49.8

Height of each triangle = 49.8 / 2 = 24.9 ft

Area of triangles BCX and ADZ = 2 × ( \(\frac{1}{2}\) × base × height)

                                                    = Base × height

                                                    = 22 × 24.9

                                                    = 547.8 ft²

Similarly,

Combined height of triangles ABW and CDY = 70.4 - 22 = 48.4

Height of each triangle = 48.4 / 2 = 24.2 ft

Area of triangles ABW and CDY = Base × height

                                                      = 25 × 24.2

                                                      = 605 ft²

Total surface area of the pyramid = 550 ft² + 547.8 ft² + 605 ft²

                                                        = 1702.8 ft²

Hence 1702.8 ft² is the total surface area of the pyramid.

Learn more about Surface Area here :

https://brainly.com/question/29298005

#SPJ1

The graph for the solution set of the inequality is the one in the image at the end.

Here we have an inequality on one variable, it is:

p < -8

So, p can be any real number smaller than -8, and -8 is not a solution of this inequality.

To graph this, we will need to draw an open circle at p = -8, and draw an arrow that goes to the left.

The open circle is because that value is not a solution, and the arrow to the left because the solutions are the numbers smaller than the one in the open circle.

Then the graph of the ineqaulity is like the graph in the image at the end.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Answer:

All is in the picture

Answer:

b. 1.97

Step-by-step explanation:

1cm≈0.032feet

60/0.032≈1.97feet

For a two-tailed hypothesis test about μ, we can use any of the following approaches except comparing the level of significance; to the confidence coefficient

To determine if the sample mean is substantially more than or significantly less than the population mean, a two-tailed hypothesis test is used. The area under both tails or sides of a normal distribution is what gives the two-tailed test its name.

Any of the following methods, with the exception of comparing the level of significance to the confidence coefficient, can be used for a two-tailed hypothesis test regarding. To create a confidence interval estimate for the population mean, approach (d) compares the level of significance which is a to the confidence coefficient which is 1- a. This method is employed to estimate the population parameter rather than test a hypothesis.

Complete Question:

For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.

a.confidence interval estimate of μ; hypothesized value of μ

b.p-value; value of α

c.value of the test statistic; critical value

d.level of significance; confidence coefficient

Read more about two-tailed hypothesis on:

https://brainly.com/question/29641971

#SPJ4

Andre and Elena will therefore have the same sum of money in their bank accounts after six weeks.

Calculations in mathematics: To perform accounting duties or activities, which involve a lot of fundamental and advanced computations and correct financial reporting, it is essential to have a foundational understanding of mathematics and algebra.

a). After four weeks, Andre will have $100 + $5 × 4 = $120 in his savings account. Elena will have $10 + $20 × 4 = $90 in her savings account. Therefore, Andre has more money in his savings account after four weeks. We know this by simply calculating the amount of money each person will have after four weeks and comparing them.

b). Let's represent the number of weeks as "w". After "w" weeks, Andre will have $100 + $5w in his savings account, and Elena will have $10 + $20w in her savings account. To find when they will have the same amount of money, we can set their savings accounts equal to each other and solve for "w".

$100 + $5w = $10 + $20w

Subtracting $10 from both sides:

$90 + $5w = $20w

Subtracting $5w from both sides:

$90 = $15w

Dividing both sides by $15:

w = 6

To know more about Account visit:

https://brainly.com/question/25787382

#SPJ1

The correct question is:

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

a. After four weeks, who has more money in the

who has more money in their savings account? Explain how you know.

b. after how many weeks will Andre and Elena have the same amount of money in their savings

the integral by reversing the order of integration. Double integrate e^x^2 dxdy= 1/3x e^x^3 + C

The integral can be written as:

∫ ∫ e^x^2 dx dy

∫ ∫ e^x^2 dy dx

Applying the formula for double integrals, the answer is:

∫ e^x^2 dy × ∫ dx

Since the inner integral is a constant, it is simply equal to x.

The answer is therefore:

∫ e^x^2 dy × x = x × ∫ e^x^2 dy

The outer integral is a standard antiderivative, and is equal to:

1/3e^x^3 + C

Therefore, the final answer is:

1/3x e^x^3 + C

Learn more about integral here

https://brainly.com/question/18125359

#SPJ4

The complete question is :

People tend to be more generous after receiving good news. Are they less generous after receiving bad news? The average tip left by adult Americans is 20%. Give 20 patrons of a restaurant a message on their bill warning them that tomorrow’s weather will be bad and record the tip percentage they leave. Table 1 contains the tips as a percentage of the total bill.

Table :  18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 18.2 14.0 17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 19.4

Suppose that tip percentage is Normal with ? = 2 and assume that the patrons in this study are a random sample of all patrons of this restaurant. Is there good evidence that the mean tip percentage for all patrons of this restaurant is less than 20 when they receive a message warning them of tomorrow’s bad weather? State \($H_0$\) and \($H_a$\) and carry out a significance test. Use significance level 0.05.

Solution:

The given data is :

18.0, 19.1, 19.2, 18.8, 18.4, 19.0, 18.5, 16.1, 16.8, 18.2, 14.0, 17.0, 13.6, 17.5, 20.0, 20.2, 18.8, 18.0, 23.2, 19.4

Therefore, sample mean,

\($\bar x= \frac{\Sigma x}{n}$\)

  \($=\frac{18+19.1+19.2+...+19.4}{20}$\)

 = 18.19

Now test : μ  < 20 with normal distance

Hypothesis test:

\($H_0=\mu \geq20$\)

\($H_a=\mu <20$\)      

This is the lower tailed test.

\($\bar x = 18.19$\)

\($\sigma =2$\)

n = 20

Significant level, α = 0.05

Test statistics, \($z^*=\frac{\bar x - \mu}{\sigma / \sqrt n }$\)

                           \($=\frac{18.19 - 20}{2 / \sqrt{20}}$\)

                          ≈ -4.05

P value is in direction of alternative hypothesis or \($H_a$\)

Since, \($H_a=\mu <20$\) , P value = P(Z<-4.05)

P value is the area to the left of the test statistics = -4.05 (from the figure)

P value = P(Z< -4.05) = 0.000 (from z table)

P value = 00000

Rejection rule : Reject  \($H_0$\)  if P value < α

Using excel functional normdist \($\left(\frac{18.19-20}{2 / \sqrt{20}}, 0, 1 , \text{TRUE} \right )$\) or TI's function normaldf \($\left( 1E-99, \frac{18.19-20}{2 / \sqrt{20}}\right)$\) answer is 0.0000259078

Decision : Since 0.0000 < 0.05, we reject the null hypothesis

Hence at 5% significance level, we have sufficient evidence to conduct that μ is less than 20.

At the 5% significance level, we have shown that μ is less than 20.

What are test statistics?

A test statistic is defined in such a way as to the quantity, within observed data that would distinguish the null from the alternative hypothesis

\({\displaystyle z={\frac {{\overline {x}}-\mu _{0}}{({\sigma }/{\sqrt {n}})}}}\)

The given data is

18.0, 19.1, 19.2, 18.8, 18.4, 19.0, 18.5, 16.1, 16.8, 18.2, 14.0, 17.0, 13.6, 17.5, 20.0, 20.2, 18.8, 18.0, 23.2, 19.4

Mean = Sum of the terms / number of terms

         = \(\frac{18.0 + 19.1 + 19.2, +........+23.2 1+ 9.4}{20}\)

         = 18.19

Now with a normal distance test, we get

\(\rm H_{0} = \mu \geq 20\\\rm H_{\alpha } = \mu < 20\)

lower tailed test

Mean  = 18.19

\(\sigma = 2\)

n = 20

Test statistics,   \({\displaystyle z={\frac {{\overline {x}}-\mu _{0}}{({\sigma }/{\sqrt {n}})}}}\)

                  z = \(\frac{18.19-20}{2/\sqrt{20} }\)

                   = -4.05

Significant level, α = 0.05

P-value is in direction of an alternative hypothesis or

Since, P-value = P(Z<-4.05)

= 0.000 (from z table)

P value = 00000

By Rejection rule, Reject \(\rm H_{0}\) if P value < α

Using excel functional normdist, the answer is 0.0000259078

Since 0.0000 < 0.05, we reject the null hypothesis

Therefore, at the 5% significance level, we have shown that μ is less than 20.

Learn more about Test statistics;

https://brainly.com/question/14128303

Answer:

518

Step-by-step explanation:

you have to divide the hieght by 2

By the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverge

We are asked to determine whether the series ∑(1+9^n)/(4n) from n=1 to infinity is convergent or divergent.

We can use the ratio test to determine the convergence of the series. Let's compute the ratio of the (n+1)th term to the nth term:

[(1+9^(n+1))/(4(n+1))] / [(1+9^n)/(4n)]

= (1+9^(n+1))/(1+9^n) * (n/ (n+1))

As n approaches infinity, the term (n/(n+1)) approaches 1, and the ratio becomes:

(1+9^(n+1))/(1+9^n)

Since the ratio does not approach a finite value as n approaches infinity, the ratio test is inconclusive. Therefore, we cannot determine the convergence of the series using the ratio test.

However, we can use the limit comparison test with the series 1/n^p, where p=1/2. Let's compute the limit of the ratio:

lim n→∞ [(1+9^n)/(4n)] / [1/n^(1/2)]

= lim n→∞ (n^(1/2) * (1+9^n))/(4n)

= lim n→∞ (n^(1/2) + 9^n/ (4n^(1/2)))

Since the first term approaches infinity as n approaches infinity and the second term approaches zero, the limit diverges. Therefore, by the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverges.

Learn more about comparison test here

https://brainly.com/question/31474165

#SPJ11

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

Learn more about Binary Search Tree at

https://brainly.com/question/30391092

#SPJ4

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

Answer:

\( 16\pi \: {cm}^{2} \)

Step-by-step explanation:

\(A = \frac{90 \degree}{360 \degree} \times \pi ({8})^{2} \\ \\ A = \frac{1}{4} \times \pi \times 64 \\ \\ A = \frac{1}{4} \times 64\pi \\ \\ A =16\pi \: {cm}^{2} \)