(04.03 MC)
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent? (4 points)

(10 points)

Answer:

[-4,1,1,-4]

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

By tangent secant segment theorem:

[tex]x \times 12 = 4 \times 9 \\ \\ \implies \: 12x = 36 \\ \\ \implies \: x = \frac{36}{12} \\ \\ \implies \: x = 3[/tex]

Answer:

x=3

Step-by-step explanation:

Answer:

$29.99

Step-by-step explanation:

24 equal payments represent 24 months (as it is paid monthly), therefore, you divide by 24 to get only 1 month of the payment

719.76/24

=29.99

Answer:

Angle EDC

Step-by-step explanation:

Since angle IDH is perpendicular, that should mean that the other angle should be the same as angle IDH.

If this did not help, let me know.

If it did, your welcome! :)

Answer:

4

Step-by-step explanation:

We can use the y-y/x-x formula.

We need to find two points that are a whole number.

(0,10) -- 0 is the x coordinate, 10 is the y coordinate.

(20,90) -- 20 is the x coordinate, 90 is the y coordinate.

10-90 = -80

0-20 = -20

-80/-20 as a whole number is 4.

The slope is 4.

Answer:

If youre asking how long it will take for Yoshi to catch up look below

Step-by-step explanation:

Yoshi walk 80 feet per minute faster than Trisha

If Trisha walks for 5 minutes she would have walked 2250 feet

If Yoshi also walks for 5 minutes he would have walked 2150 feet

Now this is already pretty close so lets check for 7 minutes

If Trisha walks 7 minutes she would have walked 2950 feet

if Yoshi walks 7 minutes he would have walked he would have walked 3010 feet

Now this is really close but now yoshi is ahead.. so lets go down to 6.85 feet

If Yoshi walks 6.85 minutes he would have walked 2945.5 feet

this is still a LITTLE to low so lets do 6.86

If yoshi walks 6.86 minutes he would have walked 2949.8

Rounding up he would have caught up by now

so it would take Yoshi 6.86 minutes to catch up

The value of the numerator of the calculation of the variance is 258, the correct option is D.

Given

The test scores of a geometry class are given below. 90, 75, 72, 88, 85.

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean of the test scores of a geometry class is;

[tex]\rm Mean = \dfrac{90+75+72+88+85}{5}\\\\ Mean =\dfrac{ 410}{5}\\\\Mean =82[/tex]

The variance is given by;

[tex]\rm Variance =\dfrac{(90 - 82)^2 + (75 - 82)^2 + (72 - 82)^2 + (88 - 82)^2 + (85 - 82)^2}{5}\\\\Variance = \dfrac{8^2+7^2+(-10)^2+6^2+3^2}{5}\\\\Variance=\dfrac{64+49+100+36+9}{5}\\\\Variance = \dfrac{258}{5}[/tex]

Hence, the value of the numerator of the calculation of the variance is 258.

To know more about variance click the link given below.

https://brainly.com/question/7635845

Answer:

Step-by-step explanation:

d

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

Answer:

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations. the intersection points (-3,3) Since the system is infinite it means there is 1 lone on the graph-

Step-by-step explanation:

its 12

Step-by-step explanation:

The arc is the product of the angle and radius of the circle. Then the arc length is 7.065 cm.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

The arc is given as the product of the angle and radius of the circle.

[tex]\rm Arc \ length = Angle * Radius\\\\\\Arc \ length = \dfrac{\pi}{2} * 4.5\\\\\\Arc \ length = \dfrac{3.14}{2} * 4.5\\\\\\Arc \ length = 7.065[/tex]

The arc length is 7.065 cm.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

All rhombuses are similar.

Answer:

Step-by-step explanation:

a = 5 n, Î = 5 n, t = -2 n, u = 5 n, n element Z

Answer:

$8.95

Step-by-step explanation:

8 + 6 + 7 = 21

$187.95 divided by 21 = $8.95

Answer:

x-2=y

Step-by-step explanation:

I have written the equation for the statement.

x-2 is subtract 2 from x than =y on the end

Answer:

5.1

Step-by-step explanation:

You just have to count up and thats the closest number

Answer:

sqrt(241) or about 15.52 rounded

Step-by-step explanation:

a^2+b^2=c^2

4^2+15^2=c^2

16+225=c^2

241=c^2

sqrt(241)=c

Answer:

6.32 cm

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]   (where r is the radius)

Given area = [tex]10\pi[/tex] cm²

⇒ [tex]10\pi=\pi r^2[/tex]

[tex]\implies 10=r^2[/tex]

[tex]\implies r=\sqrt{10}[/tex]

Diameter = 2r    (where r is the radius)

[tex]\implies d=2r=2\sqrt{10}=6.32[/tex] cm (nearest hundredth)

Area of a circle = [tex]πr²[/tex]

Given area = [tex]10π cm²[/tex]

[tex]\bold\red{ ⇒} 10π = πr²[/tex]

[tex]\bold\red{⇒ } 10 = r²[/tex]

[tex]\bold\red{⇒ } r = \sqrt{10}[/tex]

Diameter = [tex]2r[/tex]

[tex]\bold\red{⇒}2\sqrt{10} =\bold\pink{6.32 cm} [/tex] [tex]\bold\green{ [nearest \: hundredth]}[/tex]

Answer:

M= 4.5

Step-by-step explanation:

take 5m+11 = 9m - 7

add seven to each side to get

5m + 18 = 9m

then subtract 5m from each side

18= 4m

then divide by 4

18÷4= 4.5

Answer:

Step-by-step explanation:

rise / run is another way of expressing the tangent.

So when you are told that the rise over run is 35% you mean the rise is 35% of the run.

Another way of expressing this is by saying Tan(theta) = 0.35

theta = tan-1(0.35)

theta = 19.29 degrees.

The answer is A. You can reason this out. 19 degrees is the smallest answer. If it was any larger, do you think an 18 wheeler would be able to make the grade? Likely not.

Answer:

26.7

Step-by-step explanation:

This is the answer because 26.7/20 = (16+26.7)/32

When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.

To solve, you create a formula.

(16+x)/32=x/20

Multiply both sides by 32 to get rid of the 32 in the left side.

16+x=32x/20

Multiply both sides by 20 to get rid of the 20 right side.

320+20x=32x

-20x on both sides to get all the variables on one side and all the nukbers on the other.

320=12x

Divide both sides by 12 to get x by itself

x=26.66667

Answer: 24, 52, and 104 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Known facts:

First question:

                      [tex]-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2[/tex]

     So the ball hits the ground in 2s

Second question

                      [tex]-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s[/tex]

      So the ball hits the ground in 1.5s

Hope that helps!

Answer:

1/4 each day would be 1 gallon every 4 days so for 5 days it would be 1 and 1/4 gallons so between 1-2 B

Step-by-step explanation:

Answer:

When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.

Step-by-step explanation:

Like I explained above, when rotating a shape 90 degrees clockwise on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree counterclockwise rotation. That is why the student is incorrect.

I hoped this helped! Sorry, I am terrible at explaining things. :)

Answer:

25

Step-by-step explanation:

2400 dived by 96 is 25