Which is a stretch of an exponential decay function? f(x) = one-fifth (one-fifth) superscript x f(x) = one-fifth(5)x f(x) = 5one-fifth f(x) = 5(5)x

Answers

Answer 1

The exponential function that represents a stretch of a decay function is given as follows:

[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value.b is the rate of change.

It represents a stretch if a > 1, and a decay function if b < 1. Researching the problem on the internet, the correct option is given as follows:

[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]

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Answer 2

Answer:

the answer is C :)

Step-by-step explanation:


Related Questions



Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?

Answers

P1V1=P2V2. P2=290x2/5=116 kpa

Factorize algebraic expressions by pulling out highest commom factor.
10x - 15y

Answers

Answer:

5(2x-3y)

Step-by-step explanation:

10x-15y

=(5)(2x)-(5)(3y)

=5(2x-3y)

Find the prime factorization of 1296
METHOD WAY!

Answers

Answer:

[tex]1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} [/tex]

is 0.4285714285714 a rational number

Answers

Answer:

No it is not a rational number

Step-by-step explanation:

A rational number is a number that can be written in the form

p

q

, where

p

and

q

are integers and

q

o

.

All fractions, both positive and negative, are rational numbers. A few examples are

4

5

,

7

8

,

13

4

,

and

20

3

The average speed of a car on the highway is 65 miles per hour? How many feet per
second is this?

Answers

Answer:

95.3333 ft/s

Step-by-step explanation:

b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)

Answers

Answer:

father sends 7 more

19-12=7

fully factorize

6xy-2x+3z-9zy

Answers

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)

Use f(x)=x^2+4x-12 Does the graph of a function open upward or downward?

Answers

Answer:

Upward

Step-by-step explanation:

Because of the positive leading coefficient, the graph of the function will open upwards, being a parabola.

answer upwards stepg by stepg explanition because the postivie leafingn coefficient the graph of rhe function will
open upwards and being a parabpla

What is the length of DE?

A. 5
B. 7
C. 6
D. 8

Answers

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational

Answers

Answer:

B and E are True.

Step-by-step explanation:

B 12.19 is a terminating decimal so it is rational.

E its a ratio of 2 integers so its rational.

A -  is  not repeating so this is false.

C. a perfect square is rational - 16 can be written as 16/1.

D. 6 is rational because it can be written as 6/1  not because its not a perfect square.

What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2

Answers

The area of the shaded region or portion in the circle is (25π - 24) cm².

How to find the area of the shaded portion in the circle?

The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.

Therefore,

area of the circle = πr²

where

r = radius

area of a triangle = 1/ 2 bh

where

b = baseh = height

Therefore,

r = 5 cm

area of circle = 5²π = 25π cm

area of one triangle = 1 / 2 × 6 × 4 = 12 cm²

The area of the two triangles = 2(12) = 24 cm²

Hence,

area of the shaded portion = (25π - 24) cm²

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Please help don’t understand radical

Answers

Simplified

[tex]x\sqrt[3]{x}[/tex]

Need help please answer ASAP!
25&26

Answers

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

360/60=6

#25

Let the angles be 2x and 7x

2x+7x=1899x=180x=180/9x=20°

Smallest angle=2(20)=40°

I need helppppppp :((​

Answers

The value of minor arc, major arc and central angles given below:

What is an arc?

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.

Given: BOF= 126

angle BOF= angle COE= 126 (Vertically opposite angle)

Now,  

angle BOF + angle BOC= 180   (Linear pair)

     BOC=180-126= 54

and, COE= COD+ DOE

              = COD+COD

        126       =2COD

      COD= 63

now, BOD= BOC++COD

                 = 54+63

                = 117

Arc length of BCD= 87/360*2πr

= 2.041r

2. minor arc:

arc BF= 126/360* 2πr

           = 2.198r

arc FE= 54/360*2πr

          = 0.942r

arc DE= 63/360*2πr

          = 1.099r

arc CD= 63/360*2πr= 1.099r

arc CDE=126/360*2πr

             = 2.198 r

3. major arc

 arc BFED= 243/360*2πr

                 = 4.239r

arc FBCD=  243/360*2πr

                 = 4.239r

arc DCBFE= 297/360*2πr

                  = 5.181r

arc CBFE= 234/360*2πr

               = 4.082r

4. 6 central angles

  BOC= 54= FOE

  COD=63=DOE

BOF=126

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When graphing an inequality, what is drawn to show that the number named
in the inequality is included in the solution?

Answers

Answer:

The line would be a solid line.

Step-by-step explanation:

To draw inequality graphs, solid lines represent [tex]\geq or \leq[/tex] and dotted lines show > or <. Hope this helps.

I think of i take away 5 the results is 14 what number did i think of

Answers

Answer:

19.

Step-by-step explanation:

Let the number you think of be x, then:

x - 5 = 14.

x - 5 + 5 = 14 + 5

x = 19.

In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?

Answers

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't

If segment A is perpendicular to segment B, then they intersect at a 90° angle.

Choose the equivalent statement.

A. If segment B is not perpendicular to segment A, then they
intersect at a 90° angle.

B. If segment A is perpendicular to segment B, then they do not
intersect at a 90° angle.

C. If segments A and B do not intersect at a 90° angle, then they are
not perpendicular to each other.

Answers

I think the answer is A

Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5

Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself

Answers

Answer:

1/3

Step-by-step explanation:

i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.

Does anybody know this? I don't have much time and Also it is not the forth option. What is the approximate surface area of the cylinder shown?

Answers

Answer:

C) [tex]628\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]

In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag

Answers

The number of oranges that are in the bag is  120.

How many oranges are in the bag?

The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60

bananas = 0.60t  equation 1

The equation that represents the number of bananas in the bag after 135 was removed is:

(b - 135) / t = 0.15

b - 135 = 0.15t equation 2

Where :

b - total number of bananas t = total number of fruits

Substitute for b in  equation 2 using  equation 1

0.6t - 135 = 0.15t

0.6t - 0.15t = 135

t = 135 / (0.6 - 0.15)

t = 300

The initial number of bananas : 0.6 x 300 = 180

Number of oranges = 300 - 180 = 120

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Which equation gives the line shown on the graph?
y
y = 22 +4
10
9
8
y = 224
7
6
三一z-4
5
u
3
y= 22 + 4
N
1
O
0 1 2 3 4 5 6 7 8 9 10
Done >

Answers

Answer:

6

Step-by-step explanation:

line graph start at 5 equations

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. points and a line show an upward trend. which is most likely the correlation coefficient for the set of data shown? –0.872 –0.191 0.191 0.872

Answers

Answer:

Its 0.191

Step-by-step explanation:

Answer:

c) 0.191

Step-by-step explanation:

How many different trains can you make of length three?

Answers

Using the combination formula, and supposing that you have n parts, it is found that the number of trains you can make is of:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

The order in which the parts are taken is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 parts are taken from a set of n, hence the total number of trains is given by:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

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In a sale, the normal price of a bicycle is reduced by 35%.
The sale price of the bicycle is £585
Work out the normal price of the bicycle.

Answers

The answer is 380.25
Explanation: I did the math

At devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

in the second week, he spent $2 more in total for the 5 lunches than the first week.

what is the increase in the mean for the second week compared to the first?



round the answer to the nearest penny.

Answers

A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]

Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,

[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]

Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be

[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]

Hence, the increase in the mean for the second week compared to the first is 0.4.

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How Do You Graph This Equation

Answers

Answer:

Rearrange both inequalities to make y the subject.

Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.

Inequality 1

[tex]2y \leq x-10[/tex]

[tex]\implies y < \dfrac{1}{2}x-5[/tex]

[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]

[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]

Inequality 2

[tex]x+y\leq -3[/tex]

[tex]\implies y\leq -x-3[/tex]

[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]

[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]

When graphing inequalities

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

Therefore,

Inequality 1:  plot points (0, -5) and (4, -3) and draw a solid line through them.

Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.

Shade the area below both lines from where the lines intersect.

Answer:

See below ~

Step-by-step explanation:

Inequality 1 :

Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5

Taking 2 points :

0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)

y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)

Inequality 2 :

x + y ≤ -3y ≤ -x - 3

Taking 2 points :

0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)

y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)

Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :

Which is equivalent to (3√125)*?

Answers

Answer:

33.5410196625 ????

Step-by-step explanation:

Someone help me find the length of ST please!

Answers

Answer:

10

Step-by-step explanation:

I calculated and it's 10 I'm in car so I can't give the whole explanation


What is more than 11 but less than 12?

Answers

Answer:

136

Step-by-step explanation:

Answer:

There are infinite numbers that fit this range, but one is 11.5

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