Turn the written information into a equation (exponential function):

Common ratio of 4; horizontal shift right 6

Answers

Answer 1

Step-by-step explanation:

common ratio is usually used for geometric sequences.

every term is created by multiplying the previous term by a certain constant factor (= common ratio).

this factor or common ratio is in our case 4.

such a sequence is a function f(x) for x being whole numbers.

a0 = 1

a1 = a0×4 = 1×4 = 4

a2 = a1×4 = 4×4 = 16

...

an = 4^n

as general function that is then

f(x) = 4^x

a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.

e.g. f_new(6) = f_old(0)

so, the function is

f(x) = 4^(x - 6) or (4^x)/4⁶


Related Questions

Find the circumference and the area of a circle with radius 4km.
Write your answers in terms of π, and be sure to include the correct units in your answers.

4km

Answers

Answer:

16pi km² / 8pi km

Step-by-step explanation:

r = 4

A = pi(r²)

4² = 16

A = 16pi km²

C = 2r(pi)

2r = 8

C = 8pi km

What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d

Answers

Answer:

c

Step-by-step explanation:

a line of credit with a fixed total amount.

The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

What is a line of credit?

On the bases of the requirement, a person or firm takes the open or closed line of credit.

Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.

Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

Learn more about the closed line of credit here;

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John's parents deposited $1000 into a savings account as a college fund when he was born. How much will John have in this account afer 18 years at a yearly simple inerest rate of 3.25%?​

Answers

1585, the interest per year is 32.50 you multiply that by 18 and add it to the 1000

Answer:

$1,585

Step-by-step explanation:

Simple interest formula:

A = P(1 + rt)

where:

A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)

Given:

P = $1000r = 3.25% = 0.0325t = 18 years

Substituting given values into the formula:

⇒ A = 1000(1 + 0.0325 · 18)

       = 1585

what is the first step of the following division problem?

Answers

option A

hope it's correct and really helps...!!!

Answer: the answer is A i got 100% on my

test

Step-by-step explanation:

Elaine sold twice as many T-shirts as Kim
How many did each girl sell if the total
number of T-shirts sold was 27?
(no links no files) I need equation

Answers

x + 2x = y this equation will solve the problem

Help ASAP I am so confuseddd

Answers

Answer:

radius = 9.5 cm

Step-by-step explanation:

If 2 chords intersect then the product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

PT × TQ = ST × TR

PT × 3 = 4 × 12 = 48

3 PT = 48 ( divide both sides by 3 )

PT = 16

then

diameter = PT + TQ = 16 + 3 = 19 cm

radius = 19 ÷ 2 = 9.5 cm

Select the reason that best supports Statement 7 in the given proof.

Answers

Answer:

the guy above if right it is D

Step-by-step explanation:

I did the work on Acellus and pick D IT GAVE ME A CHECK MARK

The reason that supports the statement 7 in the given proof is D. Subtraction property of equality.

What is Subtraction property of equality?

Subtraction property of equality is defined as, if an equation is of the form,

a = b,

then any number subtracted from both sides makes the equation same.

a - c = b - c

Here, given a proof for the value of x.

In the 6th step, by substitution,

55 = 5x + 10

This is an equation.

We need term in x on one side and a constant term on other side.

For that, if we subtract both sides by 10,

55 - 10 = 5x + 10 - 10

45 = 5x

So here the subtraction property of equality is used.

Hence the correct option is D.

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A bird drops of stick to the ground from a height of 95 ft. The function h= 16t^2+95 gives the sticks approximate height h above the ground, in feet, feet r seconds. At above what time does the stick hit the ground

Answers

Answer:

2.44 seconds (above 2 seconds)

Step-by-step explanation:

When the stick hits the ground it has the height of zero.

Substitute h with 0 and solve the given equation for t:

[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]

find the surface area
10in

Answers

Answer:

Area of a triangle

[tex] \frac{bh}{2} \\ 10 \times 10 = 100 \\ 100 \div 2 = 50 \\ the \: triangles \: have \: the \: same \: area \: and \: there \: are \: 4 \: triangles \: so \\ 4(50) = 200 \\ now \: we \: find \: the \: are \: of \: the \: rectangular\: base \: \\ area = bh \\ b = 10 \\ h = 10 \\ 10(10) = 100 \\ no w \: we \: add \: the \: area \: of \: the \: triangles \: and \: the \: square \\ 200 + 100 = 300 \: {in}^{2} [/tex]

Hello, could anyone please help me with my homework?
My question is:-
(x+6)^6
Please solve A.S.A.P.
Kindly don't lose your precious time by spamming; instead, please provide a high-quality answer. Thanks in advance :-)

Answers

Answer:

[tex] (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656{x}^{} + 46656 [/tex]

Step-by-step explanation:

we want to solve the following binomial:

[tex](x + 6 {)}^{6} [/tex]

There is a handy way to expand powers of binomials which is known as binomial theorem . and it describes the algebraic expansion of powers of a binomial. binomial theorem is given by

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0 }^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

comparing (x+6)⁶ to (a+b)ⁿ , we get

[tex]a \implies \: x[/tex][tex]b\implies \: 6[/tex][tex]n\implies \: 6[/tex]

now substitute them on the formula which yields:

[tex] \displaystyle (x + 6 {)}^{6} = \sum _{k = 0 }^{n} \binom{6}{k} {x}^{6 - k} \cdot {6}^{k} [/tex]

converting the summation notation into sum yields:

[tex] \displaystyle (x + 6 {)}^{6} = \binom{6}{0} {x}^{6 - 0} \cdot {6}^{0} + \binom{6}{1} {x}^{6 - 1} \cdot {6}^{1} + \binom{6}{2} {x}^{6 - 2} \cdot {6}^{2} + \binom{6}{3} {x}^{6 - 3} \cdot {6}^{3} + \binom{6}{4} {x}^{6 - 4} \cdot {6}^{4} + \binom{6}{5} {x}^{6 - 5} \cdot {6}^{5} + \binom{6}{6} {x}^{6 - 6} \cdot {6}^{6} \\ \implies(x + 6 {)}^{6} = \binom{6}{0} {x}^{6 } \cdot 1 + \binom{6}{1} {x}^{5} \cdot {6} + \binom{6}{2} {x}^{4} \cdot 36+ \binom{6}{3} {x}^{3} \cdot 216 + \binom{6}{4} {x}^{2} \cdot 1296+ \binom{6}{5} {x}^{} \cdot 7776+ \binom{6}{6} {x}^{0} \cdot 46656 \\ \implies(x + 6 {)}^{6} = 1 \cdot {x}^{6 } \cdot 1 + 6 \cdot{x}^{5} \cdot {6} + 15 \cdot {x}^{4} \cdot 36+ 20 \cdot {x}^{3} \cdot 216 + 15 \cdot{x}^{2} \cdot 1296+ 6 \cdot {x}^{} \cdot 7776+ 1 \cdot {x}^{0} \cdot 46656 \\ \implies \boxed{ (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656 {x}^{} + 46656 }[/tex]

and we're done!

1. Janelle began the work below to find 368 ÷ 16. Complete the work.​

Answers

Answer:

23

Step-by-step explanation:

[tex]368/16=23[/tex]

23 is the answer because if you divide the answer will be 23.

I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?

Answers

Answer:   11 cans

======================================================

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

Please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
use sin, cos, and tan

Answers

Answer:

5.9 or 5.85 unrounded

a. In the library there are 2,345 science books, 1,469 history books, 270 chairs, and 628 ma zines. How many readable items in all are in the library?​

Answers

Answer:

4442

Step-by-step explanation:

We Cant Read A Chair So We Exclude Chairs.

Therefore, 2345+1469+628

Which is equals to 4442

3/8x5/7=? please help
thank you

Answers

Answer:

15/56

Step-by-step explanation:

multiply the top fractions by making the equation the following

3x5

-------

8x7

_________________________

3x5 =15

8x7= 56

hope this helps :)

The solution to the product of fractions is 13/56

How to evaluate the product of fractions

From the question, we have the following parameters that can be used in our computation:

3/8 * 5/7

Evaluate the product of 3 and 5

So, we have

3/8 * 5/7 = 13/8 * 1/7

Evaluate the product of 8 and 7

So, we have

3/8 * 5/7 = 13/56

Hence, the solution is 13/56

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Five less than 3 times a number is 2.

Answers

Answer:

1

Step-by-step explanation:

5-3x=2

5-3(1)=2

2+3=5

Answer:

1

Step-by-step explanation:

5-3•_=2

The only number that would fit in this equation is 1.


4 ft
4 ft
3.5 ft
7 ft
4 ft

Answers

Answer:

The answer is 1,568 in a multiplication problem.

4 x 4 x 4 = 64

3.5 x 7 = 24.5

64 x 24.5 = 1,568

Let me know if this was not what you were looking for, I may or may not be able to change it.

The answer is 4ft so b

pls help me thank you very much and if your gonna put a wrong answer dont waste my time ​

Answers

Answer:

60 degrees

Step-by-step explanation:

well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.

point grab lol

Compare the quantity in column A with the quantity in column B. Choose the best answer.

The quantity in column A is greater.
The quantity in column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

Answers

Answer:

  (c)  The two quantities are equal.

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...

  sin(A) = cos(B)

The two quantities are equal.

Answer:

Step-by-step explanation:

Sin(A) = opposite / hypotenuse

opposite = 4

hypotenuse = 5

Sin(A) = 4/5 = 0.8

Cos(B) = adjacent / hypotenuse.

adjacent = 4

hypotenuse = 5

Cos(B) = 4/5 = 0.8

Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal

Take a simpler case. Suppose you are working with a 30 60 90 triangle.

Cos(60) = Sin(90 - 60) = 1/2

THIS IS EXPONENTIAL FROM TWO POINTS

If f(x) is an exponential function where f(3.5)=21 and f(6.5)=69, then find the value of f(9), to the nearest hundredth.​

Answers

Answer:

i think the answer is 144

Step-by-step explanation:

ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope

the formula is:

y2 - y1 / x2 - x1

lets substitute

69 - 21 / 6.5 - 3.5

48 / 3

16

f(x) = 16x + b

now we just substitute

btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept

so anyways

f(9) = 16(9)

= 144

Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop

Answers

he makes the minimum payment of $15 each month, it will take him 26 months

Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Answers

So, the definite integral  [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Given that

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]

We find

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

Definite integrals

Definite integrals are integral values that are obtained by integrating a function between two values.

So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]

Since

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],

Substituting this into the equation the equation, we have

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Learn more about definite integrals here:

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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

What is a definite integral?

A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.

The given function is;

[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]

Calculation of the value of the function by using integration;

[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]

Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

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A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a length of 12 inches.

What is the width of the tissue box?

Answers

Answer:

6 in

Step-by-step explanation:

4×12×w=288

48×w=288

/48. /48

w=6

Can someone help me with this

Answers

Answer:

NO, but I know who can

Step-by-step explanation:

If a person who is 5.5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.


(table is in the photo below)


Which quadratic equation models the data in the table?

y= −0.25x2 + 2x + 5.5

y= −0.35x2 + 2x + 5.5

y= −0.27x2 + 3x + 5.5

y= −0.15x2 + 2x + 5.5

Answers

Answer:

The answer is D : y= −0.15x^2 + 2x + 5.5

Step-by-step explanation:

i got it right on my test

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.

From the table, at point (0, 5.5):

5.5 = a(0)² + b(0) + c          (1)

From the table, at point (1, 7.35):

7.35 = a(1)² + b(1) + c          (2)

From the table, at point (2, 8.9):

8.9 = a(2)² + b(2) + c          (3)

From 1, 2 and 3:

a= -0.15, b = 2, c = 5.5

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

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Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?

1/27

4/7

18/28

1/14

Answers

18/28

Probability of romance and action = 18 (add the two probabilities together)

Add all probabilities together which equals 28

18/28 is your answer

PLEASE HELP
If I buy 24 tickets for 25 cents each how much money did I spend?

Answers

$6.00, because 0.25 x 20 = 5.00 + 0.25 x 4 = 1.00

HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER

Answers

Answer:

B.

Step-by-step explanation:

1) the given equation is provided in slope-interception form, then

2) the interseption is '-3', it means the point (0;-3) - the correct answer is either B or C;

3) the slope of the given line is more that 1 (3/2>1), it means the angle is [45°;90°], then the line of the answer B is satisfies this condition.*

4) finally, the correct answer is B.

* - if to substitute the point (2;0) then it will be true equality 0=0.

Solve by substitution or elimination

Answers

Answer:

x=8, y = 0

Step-by-step explanation:

Substitution is easier for this problem.

3x + y = 24 ---> y = 24 - 3x

x^2 + y = 64

Substitute y

x^2 + 24 - 3x = 64

x^2 - 3x = 40

Factor out x

x(x-3) = 40

Pretty much you can guess and check

x = 8

If x = 8, y = 0

or

x^2 - 3x = 40

Complete the square

x^2 - 3x + 2.25 = 42.25

(x-1.5) ^2 = 42.25

Square root both sides

x - 1.5 = 6.5

x=8

x - 1.5 = -6.5

x = -5

Check

x = -5 doesn't work, so x = 8 and y = 0

In Theresa's first 8 basketball games, she scored 7,4,3,6,8,3,1 and 5 points. In her
ninth game, she scored fewer than 10 points and her points-per-game average for the nine
games was an integer. In her tenth game, she scored fewer than 10 points and her points-per-
game average for the ten games was an integer. What is the product of the number of points
she scored in the ninth and tenth games?

Answers

Answer: 40

Step-by-step explanation: The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37.

We have to make this a multiple of 9 by scoring less than 10 points.

The closest multiple of 9 is 45. 45-37=8.

Now we have to add a number to get a multiple of 10.

The next multiple is 50 we added 5, multiplying these together you get 8 x 5 is 40.

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