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Answer:

50.24

Step-by-step explanation:

To get the area you do A = π r² so, A = 3.14(4²). Then if you solve it you get A =  50.24.

Answer: 4(9a-4) and x = 18

Step-by-step explanation:

36a - 16 a common factor in this is 4 so if we factor out 4 we would get

4(9a-4)

1/2x - 7 = 1/3(x-12) we would distribute out the 1/3 so 1/3x and 1/3 x - 12 which would simply into 4

1/2x - 7 = 1/3x - 4 get the x's into one side so subtract 1/3x and add 7 on both sides

1/2x - 1/3x = 3 --- multiply 1/2x with 3/3 and 1/3x with 2/2

3/6x - 2/6x = 3

1/6x = 3 --- isolate x by multiplying 6 on both sides

x = 18

F ∘ G is a mathematical operation that is used to find the composite of two functions, f and G. This operation is also known as function composition or composition of functions.

Function composition (also known as function composition of functions) is a mathematical operation that allows one to combine two or more functions into a single, larger function. This operation is symbolized by F ∘ G. The composite of two functions, f and G, is defined as the composite of two functions f and G, which is a new function h, such that h(x) = f(G(x)) for all x in the domain of the function. This means that the output of G is the input of f and the output of f is the output of h. Function composition is a useful tool for combining functions in order to create more complex functions. It can also be used to simplify and shorten existing functions, as well as to simplify an equation by reducing the number of operations that need to be performed.

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When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.

This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.

When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.

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Answer:

15

Step-by-step explanation:

15-12+4(3)

15-12+12

3+12

15

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

-2

Step-by-step explanation:

Answer:

Start at 10 and do rise over run. Rise over how many numbers (spaces) and run over how many plots.

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

Answer:

the value is 4

Step-by-step explanation:

A parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.

To find a parametrization for the given line segment with endpoints (-4,5) and (-9,-10), we can use the parametric form of the equation of a straight line, which is given by x = x1 + t(x2 - x1) and y = y1 + t(y2 - y1), where (x1,y1) and (x2,y2) are the endpoints of the line segment and t is a parameter that varies from 0 to 1.

Taking (x1,y1) = (-4,5) and (x2,y2) = (-9,-10), we get the following parametric equations for the line segment:

x = -4 + t(-9 - (-4)) = -4 - 5t

y = 5 + t(-10 - 5) = 5 - 15t

The parameter t varies from 0 to 1, so as t ranges from 0 to 1, the point (x,y) traces out the line segment joining the points (-4,5) and (-9,-10).

Therefore, a parametrization for the line segment with endpoints (-4,5) and (-9,-10) is given by x = -4 - 5t and y = 5 - 15t, where 0 ≤ t ≤ 1.

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The equation that shows an example of the associative property of addition is:

\(\((-7+i)+7i = -7 + (i+7i)\)\)

According to the associative property of addition, the grouping of numbers being added does not affect the result. In this equation, we can see that both sides of the equation represent the addition of three terms:

\(\((-7+i)\), \(7i\),\)  and  \(\(i\).\)  The equation shows that we can group the terms in different ways without changing the sum.

The equation  \(\((-7+i)+7i = -7 + (i+7i)\)\)  demonstrates the associative property by grouping  \(\((-7+i)\)\) and  \(\(7i\)\)  together on the left side of the equation, and  \(\(-7\)\) and  \(\((i+7i)\)\)  together on the right side of the equation. Both sides yield the same result, emphasizing the associative nature of addition.

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Answer:

Its C

Step-by-step explanation:

C is the answer. it is timed and I am not a fast typer

Answer:

x = ±\(\sqrt{7}\) - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

\(\sqrt{(x + 5)^2}\) \(=\) ±\(\sqrt{7}\)

x = ±\(\sqrt{7}\) - 5

Answer:

Varies based on the amount of games played.

Step-by-step explanation:

t = total cost

g = games played

For one game, t = 25

For an unknown amount of games, t = 25g

The total cost is the amount of games played times 25.

Answer: I think it's 36 ft.

Step-by-step explanation:

The completed table for the Pythagorean triples are:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (6,8,10)\\\text{ } \text{ } \text{ } 4 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (10,24,26)\\\text{ } \text{ } \text{ } 6 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

A trio of positive numbers known as a Pythagorean triple fits into the Pythagoras theorem's formula, which is written as a² + b² = c², where a, b, and c are all positive integers. Here, "a" and "b" make up the other two legs of the right-angled triangle, and "c" serves as the triangle's "hypotenuse," or longest side. In terms of the Pythagorean triples (a, b, c).

In the question, we are given that a triangle with side lengths x² - 1, 2x, x² + 1 is a right triangle, and are asked to fill in the missing table:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\\\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

Taking x as 3, and putting in the sides, we get:

x² + 1 = 3² + 1 = 10.

2x = 2*3 = 6.

x² - 1 = 3² - 1 = 8.

Thus, the triplet is 6,8,10.

For the triplet 8,15,17, we get the x value as:

2x = 8,

or, x = 8/2 = 4.

Thus, the x-value for the triplet (8,15,17) is 4.

Taking x as 5, and putting in the sides, we get:

x² + 1 = 5² + 1 = 26.

2x = 2*5 = 10.

x² - 1 = 5² - 1 = 24.

Thus, the triplet is 10,24,26.

For the triplet 12,35,37, we get the x value as:

2x = 12,

or, x = 12/2 = 6.

Thus, the x-value for the triplet (12,35,37) is 6.

Thus, the completed table for the Pythagorean triples are:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (6,8,10)\\\text{ } \text{ } \text{ } 4 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (10,24,26)\\\text{ } \text{ } \text{ } 6 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

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The provided question is incomplete. The complete question is:

"We know that a triangle with side lengths x² - 1,2x and x² + 1 is a right triangle. Using those side lengths, find the missing triples and x-values.

Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.

Type the correct answer in each box.

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\\\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

Answer:

Domain: [-2, 2]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -2 to 2. Both are included in the domain:

[-2, 2] or -2 ≤ x ≤ 2

This is an example of Stratified probability sampling, because here the samples are drawn at random and the conclusions based are  generalised to the population as a whole

A researcher conducting a study on streaming services divides the population of Netflix subscribers into four groups of users based on the type of material viewed and then sampling from within those groups. This is an example of what type of sampling?This is an example of Stratified probability sampling.What is stratified probability sampling?Stratified sampling is a type of probability sampling that divides the population into subgroups or strata based on relevant characteristics. The strata are then randomly chosen, and samples are obtained from within each stratum.

Stratified sampling may be useful in situations where researchers want to obtain a representative sample of a population while simultaneously ensuring that the sample is sufficiently representative of different subgroups within the population. It might be used, for example, in a study of people's attitudes about social media, with strata based on age or socioeconomic status.Stratified sampling, like all probability sampling methods, has the advantage of ensuring that the sample is representative of the population from which it was drawn. Because samples are drawn at random, the conclusions based on them can be generalised to the population as a whole.

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the critical numbers of g(t) are approximately -0.690 and 0.690

To find the critical numbers of the function g(t) = t⁵ - t, we need to first find the derivative of the function.

g'(t) = 5t⁴ - 1

Then we set the derivative equal to zero and solve for t:

5t⁴  - 1 = 0
5t⁴ = 1
t⁴ = 1/5
t = \(±(1/5)^{(1/4)}\)

However, we need to check if these values are in the domain of the function, which is t < 4.

\((1/5)^{(1/4)}\)≈ 0.690, which is less than 4, so it is a valid critical number.
-\((1/5)^{(1/4)}\) ≈ -0.690, which is also less than 4, so it is also a valid critical number.

Therefore, the critical numbers of g(t) are approximately -0.690 and 0.690, and we can write them as a comma-separated list:

-0.690, 0.690

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The confidence interval about the given mean age is (40.7, 34.3). Since the given mean age of 38.8 years is in the obtained interval, there is no sufficient evidence to conclude that the mean age had changed.

The formula for the confidence interval is

C.I = \(\bar x\) ± z(σ/√n)

Where \(\bar x\) - sample mean; z or z(α/2) - test value; σ - standard deviation of the sample; n - sample size;

Consider the hypothesis,

null hypothesis H0: μ = 38.8

alternate hypothesis Ha: μ ≠ 38.8

It is given that,

sample size n = 32

sample mean \(\bar x\) = 37.5

standard deviation σ = 9.2

Constructing a 95% confidence interval about the mean age:

a) Finding the significance level:

= 1 - (95/100)

= 1 - 0.95

∴ α = 0.05

b) Finding the z-value for the obtained significance level:

z(α/2) = z(0.05/2)

∴ z = 1.96 (From the distribution table)

c) Calculating the lower and upper bounds:

C.I = \(\bar x\)  ± z(σ/√n)

On substituting,

C.I = 37.5 ± (1.96)(9.2/√32)

⇒ 37.5 ± (1.96)(1.626)

⇒ 37.5 ± 3.186(≅3.2)

Upper bound = 37.5 + 3.2 = 40.7

Lower bound = 37.5 - 3.2 = 34.3

Thus, the interval is from 34.3 years to 40.7 years.

Hence the given mean age of 38.8 is included in the interval, the evidence is insufficient to conclude that there is a change in the mean age.

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Answer:

c) t = 10

Step-by-step explanation:

3(2t + 5) = 5t + 25

6t + 15 = 5t + 25

-5t         -5t

t + 15 = 25

  -15    -15

t = 10

Check your answer:

6t + 15 = 5t + 25

6(10) + 15  = 5(10) + 25

60 + 15 = 50 + 25

75 = 75

This statement is correct

Hope this helps!

Answer:

10

Step-by-step explanation:

i took the test and got it right

Answer:

5x +2 = 87

So X = 17

3y = 42

So Y = 14

Yesterday, 5 more rooms were occupied than today.

The number of occupied rooms is obtained applying the proportions in the context of the problem.

Yesterday, the number of rooms occupied was given as follows:

4/5 x 100 = 0.8 x 100 = 80 rooms.

Today, the number of rooms occupied is given as follows:

3/4 x 100 = 0.75 x 100 = 75 rooms.

80 > 75, and the difference is given as follows:

80 - 75 = 5.

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Anna can buy a maximum of 7 snacks with $35.

To determine how many snacks Anna can buy, we can set up an inequality based on the amount of money she has. Let's denote the number of snacks as x.

The cost of a ticket is $9.50, and each snack costs $3.50. Anna's total spending should be less than or equal to $35, which can be represented by the inequality:

9.50 + 3.50x ≤ 35

In this inequality, 9.50 represents the cost of the ticket, 3.50x represents the cost of x snacks, and 35 represents the total amount of money Anna has to spend.

To find the maximum number of snacks Anna can buy, we need to solve the inequality for x. Here's how we can do that:

Subtract 9.50 from both sides of the inequality:

3.50x ≤ 35 - 9.50

3.50x ≤ 25.50

Divide both sides of the inequality by 3.50:

x ≤ 25.50 / 3.50

Calculating the division:

x ≤ 7.2857

Since we can't have a fraction of a snack, we round down to the nearest whole number:

x ≤ 7

Therefore, Anna can buy a maximum of 7 snacks with $35.

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Answer:

100% d

Step-by-step explanation:

Answer:d

Step-by-step explanation:

We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x

Given that y'' (1) = 3

So we can find the second derivative of y:  y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x

Therefore, y''(1) = 6 - q₁

From the given information: y''(1) = 3

Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3

The value of q₁ is 3.

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In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that B. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant

Multiple regression is a statistical technique for examining the relationship between a single dependent variable and a number of independent variables. The goal of multiple regression analysis is to use known independent variables to predict the value of a single dependent variable.

Multiple regression predicts the value of one dependent variable by taking into account the values of the available multiple independent variables. For example, suppose a researcher decides to study the performance of students at a school over time.

In this case, the correct option is B.

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