Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?

The exponential function \(f(x)=(\frac{5}{4}) (\frac{4}{5} )^x\) represent a stretch of exponential decay

An exponential function is given by:

y = abˣ

where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor

If b > 1, it is an exponential growth whereas if b < 1, it is an exponential decay.

The exponential function \(f(x)=(\frac{5}{4}) (\frac{4}{5} )^x\) represent a stretch of exponential decay

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

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

To learn more about incenter radius refer to :

https://brainly.com/question/1511303

#SPJ1

The logarithmic form of the equation is log₅ 4 = 625.

Logarithmic form

In math, a way to write an exponential function in reverse is called as logarithmic functions.

Given,

Here we have to convert the given equation

615 = 5⁴

Now, we have to convert this into the logarithmic form .

The general form of the logarithmic form is written as,

f(x) = logₐ x

Where a refers the base and x refers the exponent.

Here the value of base is 5 and the value of exponent is 4.

And the value of f(x) = 25,

Therefore, the logarithmic form is written as,

=> log₅ 4 = 625.

I HAVE ANSWERED THE QUESTION IN GENERAL AS GIVEN QUESTION IS INCOMPLETE.

Complete Question:

Convert the equation into logarithmic form: 615 = 5⁴

To know more about logarithmic form  here.

https://brainly.com/question/10541844

#SPJ4

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The required volume of the given cone is 150.72 cubic meters.

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

The data is given in the question, as follows:

The radius of cone (r) = 4 m

Height of cone (h) = 9 m

The volume of the cone:

⇒ (1/3) πr²h

Substitute the values of h and r,

⇒  1/3π(4)²(9)

⇒ 48 x (3.14)

Apply the multiplication operation, and we get

⇒ 150.72

Hence, the volume of the given cone is 150.72 cubic meters.

Learn more about the volume of the cone here:

brainly.com/question/1578538

#SPJ1

Answer:

relating to or expressed as a number or numbers.

Step-by-step explanation:

Answer:12

Step-by-step explanation:4/3x-2/3x=2/3x

6+2=8

2/3x=8

x=12

Answer:

X = 12

Step-by-step explanation:

2​x+2=34​x−6

Multiply both sides of the equation by LCM

(32​x+2)×3=(34​x−6)×3

CalculateMore Steps

 2x+6=(34​x−6)×3

CalculateMore Steps

 2x+6=4x−18

Move the variable to the left side

2x+6−4x=−18

Subtract the termsMore Steps 

−2x+6=−18

Move the constant to the right side

−2x=−18−6

Subtract the terms

−2x=−24

Multiply both sides

−2x(−21​)=−24×(−21​)

SimplifyMore Steps

 −2x(−21​)=12

Solution

x=12

Answer:

They are parallel lines.

Positive lines

Step-by-step explanation:

You can plug both equations into desmos and you can see for yourself.

Also if it was f(-1), it would equal 0. If it was f(1) it would equal 4. But those are not what you are asking for. The second equation is a y-intercept on (0,0)

Hope this helps :)

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

https://brainly.com/question/31931315

#SPJ2

Answer: Georgia, California, New York, Minnesota

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

Learn more on Pythagorean theorem here;

https://brainly.com/question/343682

#SPJ1

Answer:

50, I just took a number that was the closet to this and divided it by 9

(450/9=50)

In conclusion the simplified expression is:

√3/√6 = 3√2/6 = √2/2

How to simplify?

a)

To rationalize the denominator of √15/√5, we need to eliminate the square root in the denominator. We can do this by multiplying both the numerator and denominator by √5.

√15/√5 × √5/√5 = √75/5

We can simplify √75 by breaking it down into its prime factors:

√75 = √(355) = 5√3

Therefore, the simplified expression is:

√15/√5 = 5√3/5 = √3

b)

To rationalize the denominator of √3/√6, we need to eliminate the square root in the denominator. We can do this by multiplying both the numerator and denominator by √6.

√3/√6 × √6/√6 = √18/6

We can simplify √18 by breaking it down into its prime factors:

√18 = √(233) = 3√2

Therefore, the simplified expression is:

√3/√6 = 3√2/6 = √2/2

To know more about denominator related question visit:

https://brainly.com/question/7067665

#SPJ1

Answer:

    The career planning process is ongoing and sequential. Since it is fluid rather than chronological, you move to the next step only when you are ready to do so, and you may move back and forth between steps at any given time. The career planning process is also cyclic. When career change is desired anytime during your work life, you may repeat the process once again. Data from the U.S. Bureau of Labor Statistics indicates that the majority of members of the labor force will make three to four major changes in their career during their 35 to 45 years of working. Because human beings are complex, each of us has unique aspirations, goals, potential for development, and limitations. Although we can follow the same process, career planning outcomes must be individualized.

Step-by-step explanation:

Answer:

x = 71

Step-by-step explanation:

Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180.  Call the unknown angle GHI

B+ D+ GHI = 180

31+ 40 + GHI = 180

71 + GHI = 180

GHI = 180 -71

GHI = 109

We know that GHI + x = 180 since it forms a straight line

GHI + x =180

109 + x = 180

x = 180-109

x = 71

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Jared has 95 in the fourth quarter to have a final average of of 92.

What is the meaning of average?

The average test score is the sum of all test scores divided by the number of test takers

Given the Jared's grade in Geometry:

First quarter - 88

Second quarter - 94

Third quarter - 91.

The average score is 92.

Total number of quater is 4.

The total score will be 92×4 = 368.

Assume that he needs to score x in fouth quater.

His total score is 88+94+91+x.

According to the question,

88+94+91+x = 368

273+x = 368

Subtract 273 from both sides:

x = 368 - 273

x = 95

To learn more about solution of an equation, click on the below link:

https://brainly.com/question/29141629

#SPJ1

The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

For more questions on integer

https://brainly.com/question/929808

#SPJ8

Answer:

D. 12%

Step-by-step explanation:

64-56.32= 7.68

(7.68÷64)×100= 12%

hope this helps! please mark me brainliest..

have a good day ahead

Answer:

D. 12%

Step-by-step explanation:

1. Find the amount of money Caroline saved

Original - spent

Subsitute in the given values,

64 - 56.32 = 7.68

2. Set up a proportion

A proportion is

\(\frac{part}{whole} = \frac{percent}{100}\)

Substitute in the values;

\(\frac{7.68}{64}=\frac{percent}{100}\)

Cross products;

(7.68)(100) = (64)(percent)

768 = 64 * percent

Inverse operations;

768 = 64 percent

/64      /64

12 = percent

Caroline had a 12% discount.

The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

Learn more about simple interest here

https://brainly.com/question/26736329

#SPJ9

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

If the base triangle has a base of 8 meters and a height of 6.9 meters. the surface area of the pyramid is 139.6 square meters.

First, let's find the area of the base triangle:

Area of base triangle = (1/2) * base * height

Area of base triangle = (1/2) * 8 * 6.9

Area of base triangle = 27.6 square meters

Now, let's find the area of one of the triangular faces:

Area of triangular face = (1/2) * base * height

Area of triangular face = (1/2) * 8 * 7

Area of triangular face = 28 square meters

Since the pyramid has four triangular faces, the total area of the triangular faces is 4 times the area of one triangular face, which is:

4 * 28 = 112 square meters

Total surface area = area of base triangle + area of triangular faces

Total surface area = 27.6 + 112

Total surface area = 139.6 square meters

Therefore, the surface area of the pyramid is 139.6 square meters.

Learn more about surface area here:https://brainly.com/question/16519513

#SPJ1

Answer:

y = 1/2 ⋅ √ x − 9

y = − 1 /2 ⋅ √ x − 9

Step-by-step explanation:

Answer:

8+x=13

Step-by-step explanation:

Answer:

13-8=r

r=roses she cut

Step-by-step explanation:

you take away how many roses there were in the begining from the amount she started with and you get r (the amount of roses she cut).

The student can purchase no more than four books, or k. This can be represented so the correct answer option (A) is  8.50k +2.25(k+ 4) ≤ 43

Symbol for inequality: Comparing two numbers that are not equal requires the use of an inequality symbol. (>) More Than: The larger number is always on the left when using this symbol, and the smaller number is always on the right.

First, let's define some variables. Let b be the quantity of books the student purchases, and p represent the quantity of pens. Since the student purchases four more pens than books, the total cost of the purchase is $43, and we know that p = b + four. This can be expressed as an equation:

8.50b + 2.25p = 43

By replacing p = b + 4, we obtain:

8.50b + 2.25(b + 4) = 43

If we simplify, we get:

10.75b + 9 = 43

9 is subtracted from either side, resulting in:

10.75b = 34

By multiplying both sides by 10.75, we obtain:

b ≈ 3.16

The student may purchase either 3 or 4 books because the total number of books must be a whole number. Let's use the initial equation to verify these values:

If the student purchases three books, then p = 3 + 4 = seven pens are needed. 8.50(3) + 2.25(7) = 38.25, or less than $43, is the total price.

If the student purchases four books, then p = four plus four equals eight pens. 8.50(4) + 2.25(8) = 43, or precisely $43, is the total price

As a result, the student can purchase no more than four books, or k. This can be represented as:

8.50k + 2.25(k + 4) ≤ 43

Answer (A) is the right selection.

To know more about Inequality visit:

brainly.com/question/27989101

#SPJ1

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's