The two shapes on the grid below are similar.
What is the ratio of side x to side y?

Should this not have measurements?

Answer:

x=y-9....1

5x-6y=-1.....2

putting the value of x in eqn 2

5y-45-6y=-1

-y=44

y=44

Answer: \(y=7\dfrac{1}{3}\).

Step-by-step explanation:

\(\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y \div 54=396 \div 54\\\\y=7\dfrac{1}{3}\)

Explanation:

Let \(f(x) = \sqrt{25x}\) and \(g(x) = \frac{x^2}{25}\). The differential volume dV of the cylindrical shells is given by

\(dV = 2\pi x[f(x) - g(x)]dx\)

Integrating this expression, we get

\(\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx\)

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

\(\sqrt{25x} = \dfrac{x^2}{25}\)

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

\(25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1\)

or

\(x^3 =(25)^3 \Rightarrow x = \pm25\)

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

\(\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx\)

\(\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx\)

\(\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}\)

\(\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2\)

The statement is False.

If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is

y = 2.1 + 0.28x

If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

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Answer:

n has to be at least 16577.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Out of n randomly selected students she finds that that exactly half attend their home basketball games.

This means that \(\pi = 0.5\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

About how large would n have to be to get a margin of error less than 0.01 for p

We have to find n for which M = 0.01. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}\)

\(0.01\sqrt{n} = 2.575*0.5\)

\(\sqrt{n} = \frac{2.575*0.5}{0.01}\)

\((\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2\)

\(n = 16576.6\)

Rounding up

n has to be at least 16577.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

3.1 miles

Step-by-step explanation:

2.5 + 4.4 = 6.9

10 - 6.9 = 3.1

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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Answer:

Answer:

60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Answer:

\(Sales = 86.749\)

Step-by-step explanation:

Given

\(Sales = 0.845*(competitors) + 5.79*(population) + 13.889\)

\(Competitors = 4\)

\(Population = 12000\)

See comment for complete question

Required

The sales

We have:

\(Sales = 0.845*(competitors) + 5.79*(population) + 13.889\)

Substitute values for competitors and population

\(Sales = 0.845*4 + 5.79*12 + 13.889\)

\(Sales = 3.38 + 69.48 + 13.889\)

\(Sales = 86.749\)

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer:

-147

Step-by-step explanation:

Paxton received the same score on each turn in a board game. His score on each turn was −21. He had 7 turns.

basically 7 x -21

=

-147

Answer:

-147

Step-by-step explanation:

i took the test :P

The base of Octagon Towers has 135-degree inside angles on each side.

The formula: can be used to determine the size of each inner angle of a regular octagon.

(n-2) x 180 / n

where n is the polygon's number of sides.

n=8 for Octagon.

As a result, we can change n in the formula to 8:

(8-2) x 180 / 8 = 6 x 180 / 8

The base of the Octagon Towers is a regular octagon, the measure of each interior angle of the base of the Octagon Towers will be

135-degree

The base of Octagon Towers has 135-degree inside angles on each side.

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Full question

Octagon Towers is an octagon-shaped condominium building in Miami, Florida. Assuming the base of the Octagon Towers is a regular octagon, find the measure of each interior angle of the base of the Octagon Towers.

Each interior angle measures?

By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Answer:

In the explanation

Step-by-step explanation:

a) Multiply the second equation by 2, subtract both lines. You get x = -3. Plug this in to get y, y = -2

b) Multiply the first equation by 2, add both lines. You get x = 8. Plug this in to get y, y = -3

c) Multiply the first equation by 5, subtract both lines. You get y = 1. Plug this in to get x, x = -3

d) Multiply the first equation by 2 and the second one by 3, add both lines. You get x = 1. Plug this in to get y, y = 4

Hope this helps!

Answer:

The answer is D - Equilateral triangles are isosolece.

Step-by-step explanation:

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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The side length ZW is 6 units and the side length WX is 10.392 units. Then the area of the rectangle is 62.352 square units.

Given that:

Diagonal, d = 12

Angle, α = 30°

The rectangle's area will be given as,

Area of the rectangle = L × W square units

The measure of the side length ZW is calculated as,

sin 30° = ZW / 12

ZW = 6 units

The measure of the side length WX is calculated as,

cos 30° = WX / 12

ZW = 10.392 units

The area of the rectangle is calculated as,

A = 6 x 10.392

A = 62.352 square units

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The cost of a doughnut would be 0.941 dollars which is determined by the equation $1.25 + 6x = $6.90, where x is cost of a doughnut.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Ms.Fredrick purchased bottled water for $1.25 and 6 doughnuts. the total cost was $6.90 which is given in the question.

Let the cost of a doughnut would be x dollars

According to the given question, we can write an equation like as:

⇒ $1.25 + 6x = $6.90

To determine the cost of a doughnut, we have to rearrange the terms and solve for x

⇒ 6x = $6.90 - $1.25

Apply the subtraction operation,

⇒ 6x = $5.65

⇒ x = $5.65/6

Apply the division operation,

⇒ x = $0.941

Thus, the cost of a doughnut would be 0.941 dollars.

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EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer: 16

Step-by-step explanation:

40 / 5 = 8 = 1/5 of 40

8 × 3 = 24 = 3/5 of 40

40 - 24 = 16

Answer:

3

Step-by-step explanation:

Answer:

3 sqrt3

Step-by-step explanation:

AP3X

Answer:

The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.

Step-by-step explanation:

Different arrangements of the display are possible is 2520.

Given:

the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.

Permutation :

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

= \(7_P_5\)

we know that,

\(n_P_r\) = n! / ( n - r ) !

\(7_P_5\) = 7! / ( 7 - 5 ) !

= 7! / ( 2 ) !

= 7! / 2!

= 7 * 6 * 5 * 4 * 3 * 2! / 2!

= 42 * 20 * 3

= 840 * 3

= 2520

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the first one is correct

i can prove it but its hard on this app and it has a long solution

you can prove it by Thales law

hope this helps

Answer:

C. 1/10

Step-by-step explanation:

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer: D with the open circles at -10 and 10 with a line in between them.

Step-by-step explanation:

Since x has an absolute value sign around it this means that all the values will be positive which includes negative numbers.

Since the solution must be less than 10 we need all values under 10 which is 1-9.9 repeating. we can show the 9.9 repeating with an open circle on the value of 10. This also goes for the negative values for x as we can go up to -9.9 repeating because it will become positive.

The only graph that shows these values is D with the open circles at -10 and 10 with a line in between them.

Answer:

D

Step-by-step explanation:

Hope this helps