There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?

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:

174lbs

Step-by-step explanation:

I'm not positive but its my best shot

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 :)

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:

dont known sorry

Step-by-step 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:

6

Step-by-step explanation:

Answer:

2.325

Step-by-step explanation:

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

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

Step-by-step explanation:

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

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:1920

Step-by-step explanation:

Sorry if this is not accurate but here is how your gonna do it

Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D

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:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

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:

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:

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:

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:

2x^14

Step-by-step explanation:

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

Answer:

The answer is 9

Step-by-step explanation:

brainiest because im in a brother war please

Answer:

1 1/8  2 1/4 - 1 1/8= 1 1/8

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

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:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

Answer:

Love and support from parents and respect parents

Being a positive role model to everyone and understands friends weaknesses

Compares body to others and obsessed about weight loss

Communicate well with parents and cooks food and do chores

Guidance on decision making in whatever situation and positive friendship

Knowledgeable on teenage health issues and admits faults

Step-by-step explanation:

I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.