Which algebraic expression represent this phase

Answer:

Option (4). 25%

Step-by-step explanation:

The graph attached shows the exponential growth.

Let the graphed function is y = [tex](1+\frac{r}{100})^{t}[/tex]

Here 'r' = Rate of growth

t = Duration of time in years

y = enrollments after time 't' years

Graph shows at time 't' = 0 or initially number of enrollments = 20

After 8 years number of enrollments will be

120 = [tex]20(1+\frac{r}{100})^{8}[/tex]

[tex]\frac{120}{20}=(1+\frac{r}{100})^{8}[/tex]

6 = [tex](1+\frac{r}{100})^{8}[/tex]

log 6 = [tex]8\text{log}(1+\frac{r}{100})[/tex]

0.77815 = [tex]8\text{log}(1+\frac{r}{100})[/tex]

[tex]\text{log}(1+\frac{r}{100})[/tex] = 0.0972689

[tex](1+\frac{r}{100})=1.251[/tex]

[tex]\frac{r}{100}=0.251[/tex]

r = 25.1%

r ≈ 25%

Therefore, Option (4) will be the answer.

Answer:

25%

Step-by-step explanation:

did test and it was right

Answer: 84 ft

Step-by-step explanation:

Answer:

C. 7.2

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

5 + 3x = 41

x = 12 miles

Step-by-step explanation:

A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.

Let x is the number of miles traveled.

If the total cost of the fare was $41.00 then

5 + 3x = 41     eq. 1

The above equation can be used to determine the number of miles traveled.

Solving the equation for x,

5 + 3x = 41

3x = 41 - 5

3x =  36

x = 36/3

x = 12 miles

Therefore, 12 is the total number of miles traveled if the fare was $41.00.

Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Volume of a cube is Volume = S^3, where S is the length of one side.

Volume = 2 1/4^3 = 2 1/4 x 2 1/4 x 2 1/4 = 11 25/64 in^3

The answer is D.

Answer: 30 3/8

Step-by-step explanation:

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

Answer:

x+ 4x-85 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

x+ 4x-85 = 90

Combine like terms

5x - 85 = 90

Add 85 to each side

5x = 175

Divide by 5

5x/5 =175/5

x =35

Answer:

x (4-85)  =  -81x

Step-by-step explanation:

Equation: x (4-85)

Answer: x (4-85)

1: Find the missing side

2: add the other numbers

Hope this helps.

Answer:

8

Step-by-step explanation:

you multiply 1 1/3 by 6

Question:

Let [tex]p=x^2-2[/tex] .

Which equation is equivalent to in terms of p ?

Answer:

[tex]p^2+18=9p[/tex] or [tex]p^2+18 - 9p = 0[/tex]

Step-by-step explanation:

Given

[tex]p=x^2-2[/tex] .

Required

Find the equation equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]

To get the equation equivalent to the given expression, we simply simplify [tex](x^2-2)^2+18=9x^2-18[/tex] and solve in terms of p

[tex](x^2-2)^2+18=9x^2-18[/tex]

Factorize expression on the right hand side

[tex](x^2-2)^2+18=9(x^2-2)[/tex]

Substitute [tex]x^2 - 2[/tex] for p

[tex](x^2-2)^2+18=9(x^2-2)[/tex] becomes

[tex]p^2+18=9p[/tex]

Hence, equation [tex]p^2+18=9p[/tex] is equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]

Solving further to get the value of p

[tex]p^2+18=9p[/tex]

Subtract 9p from both sides

[tex]p^2+18 - 9p = 9p - 9p[/tex]

[tex]p^2+18 - 9p = 0[/tex]

Rearrange

[tex]p^2 - 9p +18 = 0[/tex]

Factorize

[tex]p^2 - 6p - 3p +18 = 0[/tex]

[tex]p(p - 6) - 3(p -6) = 0[/tex]

[tex](p - 3)(p -6) = 0[/tex]

p - 3 = 0 or p - 6 = 0

p = 3 or p = 6

Answer:

p^2-18+9p=0

Step-by-step explanation:

Khan

Step-by-step explanation:

x2 - 4x +4 -4 + y2 + 20y +100 -100 + 55=0

(x-2)2 + (y+10)2 =49

center:(2,-10)

r=7

Answer:

25

2:3

Step-by-step explanation:

2/5 were sold out

5/5 - 2/5 = 3/5

That means 3/5 were not sold out

p = performances

there were 15 that were not sold out

3/5 * p = 15

Multiply each side by 5/3

5/3 *3/5 p = 15*5/3

p = 25

There were 25 performances

sold out to not sold out

2/5 : 3/5

Multiply by 5

2: 3

Hey there!

Another word for the mean is the average. To find the mean in a set of numbers, you add up the numbers and then divide by the number of numbers!

39+82+74+96+64+52+74=481

Now, we see that we have seven numbers. So, we divide by seven!

481/7≈68.71 (rounded to nearest hundredth)

I hope that this helps!

Answer:

f (-4) = 3x(-4)^2 - 7x(-4) - 32 =  44

Step-by-step explanation:

you should replace every x with the number given which is here equals -4

Answer:

2/3

Step-by-step explanation:

There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.

Answer:

9,450,000 red cars

Step-by-step explanation:

35,000,000/100=350,000

27*350,000=9,450,000

Answer:

d= -16

Step-by-step explanation:

-16 +4=-12

Answer:

d=−16  

Step-by-step explanation:

d+4−4=−12−4

d=−16

Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

Answer:

No, a trapezoid is not a rectangle.

This is because trapezoids by definition have only one pair of parallel sides while rectangles must have at least two sets of opposite parallel sides. Also, trapezoids do not have 90 degrees at every angle like rectangles do.

Answer:

-4

Step-by-step explanation:

Answer: im pretty sure it is a domain

Step-by-step explanation:

Answer:

She needs 301.8 in² of tissue paper.

Step-by-step explanation:

In order to calculate the amount of tissue paper she needs to make 21 hats, we need to find the area of each hat and multiply it by the total number of hats she wants to make.

Since the Vietnamese conical hats are hollow and don't have a base, we need to find the area of the it's lateral walls, this is given by the following expression:

lateral area = pi*r*l

r = d/2 = 16/2 = 8 in

We were given the height, but we need the slant height, therefore:

l = sqrt(r² + h²) = sqrt(8² + 9²) = sqrt(64 + 81) = sqrt(145)  = 12.041 in

Then the lateral area is:

lateral area = pi*8*12.0141 = 301.8 in²

She needs 301.8 in² of tissue paper.

Answer B

Step-by-step explanation:

2x+1+14

Answer:

B.)

Step-by-step explanation:

B)2x+15

Answer:

The point after the reflection: [tex](-4,-8)[/tex]

Step-by-step explanation:

-Statement: If you reflect the point [tex](x,y)[/tex] across x-axis or the y-axis, then the [tex]x[/tex] and the [tex]y[/tex] of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point [tex](-4,8)[/tex] across x-axis, then the point after the reflection, would be [tex](-4, -8)[/tex] :

The following point: [tex](-4, 8)[/tex]

The point after the reflection: [tex](-4,-8)[/tex]

Answer:

1.5707

Step-by-step explanation:

i solved it using the formula :

[tex]2\pi \times r \frac{45}{360} [/tex]

Answer:

[tex] \frac{9}{14} [/tex]

Step-by-step explanation:

times top numbers and bottom numbers

6 × 3 = 18

7 × 4 = 28

18/28

*simplify*

9/14

Answer:

[tex](-2,\, 4)[/tex].

Step-by-step explanation:

To find the vertex of this parabola, start by rewriting it in the vertex form [tex]f(x) = a\, (x - h)^2 + k[/tex].

Start with the original expression:

[tex]f(x) = (x + 2)^2 + 4[/tex].

Note that in the vertex form, the sign in front of [tex]h[/tex] should be a minus. However, in [tex]f(x) = (x + 2)^2 + 4[/tex], the sign in front of [tex]2[/tex] is a plus. Since adding

[tex]f(x) = (x - (-2))^2 + 4[/tex].

Therefore:

Hence, [tex](-2,\, 4)[/tex] is the vertex of this parabola.

Step-by-step explanation:

Area= 1/2 * b*h

h= 3 2/3 = 11/3

Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet

i dont understand your question