Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.

Given:

The exponential function passes through two points (0,4) and (3,32).

To find:

The formula for the exponential function.

Solution:

The general form of an exponential function is

[tex]y=ab^x[/tex]          ...(i)

where, a is initial value and b is growth factor.

The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.

Putting x=0 and y=4 in (i), we get

[tex]4=ab^0[/tex]

[tex]4=a(1)[/tex]

[tex]4=a[/tex]

Putting a=4, x=3 and y=32 in (ii), we get

[tex]32=4b^3[/tex]

Divide both sides by 4.

[tex]8=b^3[/tex]

Taking cube root on both sides.

[tex]2=b[/tex]

Putting a=4 and b=2 in (i), we get

[tex]y=4(2)^x[/tex]

Therefore, the required formula for the exponential function is [tex]y=4(2)^x[/tex].

Answer:

D

Step-by-step explanation:

-1/4x+10=7

-1/4x=7-10

-1/4x=-3

-12x=-1

x=1/12

Answer:

100xy

Step-by-step explanation:

The height of the cylinder is 4x³y² unit.

The correct option is A.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a volume of 20x⁶y⁴ units cubed.

The base of the cylinder has an area of 5x³y² units squared.

And the volume of the cylinder V = Base area x height.

So, 20x⁶y⁴ = 5x³y² (height).

The height of the cylinder = 20x⁶y⁴/ 5x³y²

The height of the cylinder = 4x³y²

Therefore,  4x³y² is the height of the cylinder.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ5

The complete question is given in the attached image.

Answer:

6

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it is going by 5s.

Answer:

Yes. This is because if you plot the numbers on a ration table or see the graph points, you can see a pattern: you multiply by 5. The equation to solve this would be y=5x. Another reason why this is proportional is that the graph starts from the origin (0,0) This is the opposite for non-proportional relationships. Hope this helps! :)

Answer:

3/4

You need the LCD which is 4

3 + 1x2/2x2 + 3/4

3 + 2/4 + 3/4

3 + 2+3/4

3+5/4

3 + 1 1/4

20/4 - 4 1/4

20/4 - 4x4+1/4

20/4 - 17/4

5 - 17/4

5x4/4 - 17/4

20/4 - 17/4

3/4

Answer:

The value of y=6

Step-by-step explanation:

Given that y varies directly with x

Using the formula

y ∝ x

y=kx

Where k is the constant of proportionality

In order to find 'k' use the given condition

y=8  when  x=20

y=kx

k=y/x  

 = 8/20

 = 2/5

Thus, the equation to find 'y' is

y=2/5x

when x=15 then

y=2/5(15)

 = 6

Thus, the value of y=6

Answer:

A horizontel line equation y=0x+-9 the slope is zero slope

Step-by-step explanation:

Answer:

The slope is 0.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-9)-(-9)/14-8

m=0/6

m=0

Answer: angle 2 is 28

Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28

Answer:

12km in real life.

Step-by-step explanation:

Please mark brainliest.

Answer:

For part A-Emily would spend $22.70 on 22 feet of wire. For part B- Andy would spend $2.30 for 15 yards of wire.

Step-by-step explanation:

The cost is going down 10 cents by the foot, so getting 22 feet into 264 inches then having 165 into 164 and going up by the ten ending the number in four. Same with the yards in feet then the feet into yards and going down by 10. Hope it helps and makes sense.

Answer:

dont known sorry

Step-by-step explanation:

Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

[tex]Expected\ Value = 3[/tex]

Answer:

174lbs

Step-by-step explanation:

I'm not positive but its my best shot

Answer:

2x^14

Step-by-step explanation:

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

Answer: [tex]9.38\times10^{33}[/tex]

Step-by-step explanation:

Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]

A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.

Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]

[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]

Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.

Answer:

-30

Step-by-step explanation:

I dont have an explanation

m=11

Step-by-step explanation:

the top side is 4, so that means the bottom side will also be 4, add them both, you get 8, 30-8 = 22, 22/2 = 11, m=11

Answer:

3

Step-by-step explanation:

2(4m + m) = 30

8m + 2m = 30

10m = 30

Divide by 10 on each side

m = 3

Check:

2 ( (4 x 3) + 3) = 30

2 ( 12 + 3) = 30

24 + 6 = 30

30 = 30

Hope this helps! :)

Answer:

21

Step-by-step explanation:

y+9 = ?

y=12

12+9=21

Answer:

3

Step-by-step explanation:

Divide 88 by 16

88/16 = 5.5

It weighs 5.5 pounds

Answer:

5.5

Step-by-step explanation:

if you divide 88 ounces by 16 it will give yout he answer of 5.5.

88/16 = 5.5

Answer: well depends on how much points you scored in your last game

Step-by-step explanation:

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz

I know the best answer ever (*says sarcastically*)

Answer:

5/6

Step-by-step explanation:

You just need to turn the denominator and numerator's positions upside down.