Enter the correct answer in the box.
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3 What is the equation of function g?
Substitute a numerical value for k into the function equation.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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It is given that the quadrilateral WXYZ is a parallelogram.

By property of parallelogram the adjacent angles are supplementary so it follows:

Since the value of b is 7, the angle Z is given by:

Hence b=7 and angle Z is 65 degrees.

Answer

Explanation

Given

To solve for q, we have to divide both equations over 144:

Finally, calculating the square roots from both sides:

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

Answer:

10

Step-by-step explanation:

|(-3) - 3| + 4

|-6| + 4

6 + 4

10

Answer:10

Step-by-step explanation:

|-3-3|+4

|-6|+4

6+4

=10

Answer:

0.4636 radians

Step-by-step explanation:

To find theta in radians, we need to use the inverse tangent function, also known as arctangent. From the right triangle in the image, we have:

tangent(theta) = opposite/adjacent = 10/20 = 1/2

Taking the inverse tangent of both sides, we get:

theta = arctan(1/2)

Using a calculator or a trigonometric table, we find:

theta ≈ 0.4636 radians

Therefore, theta is approximately 0.4636 radians

Answer:

28.26

hop thats better the the first anser

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

Answer:

24 people

Step-by-step explanation:

Answer:

Joe Biden

Step-by-step explanation:

Answer:

El presidente actual de los Estados Unidos es Joe Biden

Step-by-step explanation:

What does the stuff down below mean?

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer:

I would say 1,749,600

Step-by-step explanation:

Cookie boxes sold = (number of buyers)(boxes bought per buyer)

=8(3)

=24

She sold 24 boxes of cookies.

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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Answer:

C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

Step-by-step explanation:

The complete question is: In a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.

Respondents were asked: “Typically, how many times per week do you sleep less than 6 hours during  the night?” On average, those surveyed reported an average of 1.8 nights per week in which they got  less than 6 hours of sleep. Which of the following is true with respect to this scenario?

A) 8400 is the size of the population being studied.

B) 1.8 is a parameter and represents an estimate of the unknown value of a statistic of  interest.

C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

D) None of the above

We are given that in a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.  

On average, those surveyed reported an average of 1.8 nights per week in which they got  less than 6 hours of sleep.

In the question 8400 is the sample size (n) as it is taken from the population to conduct a survey.

So, the statement is not true that 8400 is the size of the population being studied. It is the size of the sample being tested.

Also, the sample mean = 1.8 nights per week, it is sample or statistic value because it is calculated using sample size value and it is an estimate or representation of the population unknown parameter.

So, the correct statement is that 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

The required expression that gives the total number of plants the farmer planted this weekend is 16p.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
On Saturday, the farmer planted 10 rows of tomato plants with p plants in each row. Therefore, the total number of tomato plants planted on Saturday is 10p.

On Sunday, the farmer planted 6 rows of pepper plants with p plants in each row. Therefore, the total number of pepper plants planted on Sunday is 6p.

Total number of plants = Number of tomato plants + Number of pepper plants

Total number of plants = 10p + 6p

Total number of plants = 16p

Therefore, the expression that gives the total number of plants the farmer planted this weekend is 16p.

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"Ask 20 customers as they visit the bakery over the course of a day." would likely produce the most representative sample.

In statistics, a sample refers to a group of individuals or objects that are selected from a larger population and used to represent that population for the purpose of statistical analysis and inference. A sample is often used because it is impractical or impossible to examine every member of the population, so a smaller group is chosen that is expected to be representative of the larger population. The goal of sampling is to obtain accurate and reliable information about the population by studying the characteristics of the sample.

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Answer:

See who studies and who doesnt then compare

Step-by-step explanation:

See who studies and who doesn't

take the assignment

ask for the score of the people who did and for who didn't

collect the data and organize it

Answer: choice A 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/3=2/3*p(B)

p(B)=1/2

The probability of selecting a biography or a mystery is 0.8

We assume that all the books have the same probability of being randomly selected.

The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.

Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:

P = (7 + 9)/20 = 16/20 = 4/5 =0.8

The probability is 0.8

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Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.−8a2+64a−497+4000a+8

Answer:8

Step-by-step explanation:8x1=8

Answer:

Sale Price = 31$

Step-by-step explanation:

Sale price= originally price × (1- sale percentage /100)

=124× (1- 75/100)

=124× 0.25

=31 $

Answer:

1)

y = 45° (converse of alternate interior angle theorem)

z = 45° (alternate interior angle theorem)

k = 135° (exterior angle theorem)

2)

Cos θ + Sin θ = √2 Cos θ

(Cos θ + Sin θ)² = (√2 Cos θ)²

(Exponential property of equality)

Cos² θ + Sin² θ + 2 (Cos θ • Sin θ) = (√2 Cos θ)²

(Distributive property)

1 + 2(Cos θ • Sin θ) = (√2 Cos θ)²

(Definition of the pythagorean identity).

This identity is true because, if a² + b² = c². The triangle must be a right triangle, and a right triangle always has a 90° angle tangent to the triangle, and the tangent of 90° is 1, cos applied to the adjacent over hypotenuse, and sin applies to the opposite over hypotenuse, so this identity must work).

1 + 2(Cos θ • Sin θ) = 2 Cos² θ

(definition of an exponent)

1 + 2(Cos θ • Sin θ) – 1 = 2 Cos² θ – 1

(subtraction property of equality)

2(Cos θ • Sin θ) = 2 Cos² θ – 1

2(Sin θ • Cos θ) = 2 Cos² θ – 1

(Associative property of multiplication ; the input for both functions are θ so this rule works, this is an exception)

Sin (2x) = 2 Cos² θ – 1

(double angled identity of 2 sine and cos)

Answer:

Step-by-step explanation:

dummy why would I tell you cheater

The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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The solution of the given equation is x = -4.

An algebraic expression is an expression which should include at least one variable connected by at least a single arithmetic operator. These operators can be addition(+), subtraction(-), multiplication(*) or division(/).

an algebraic equation or polynomial equation is an equation of the form

where p = 0

where P is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term algebraic equation refers only to univariate equations, that is polynomial equations that involve only one variable. On the other hand, a polynomial equation may involve several variables. In the case of several variables (the multivariate case), the term polynomial equation is usually preferred to algebraic equation.

We have given that √x+8= 2

To remove the root on the left side of the equation square both sides of equation.

so we get x+8= 4

by solving the equation we will get x= -4.

Thus the solution of the given equation is x= -4.

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answer/explanation:

hope this helps