When Victoria moved into a new house, she planted two trees in her backyard. At the
time of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree Bt years after being planted. Graph each function and determine the
interval of time, t, when Tree A is taller than Tree B.
Click twice to plot each line. Click a line to delete it.

Answer:

Step-by-step explanation:

Not QUITE a parabola . but up until y = 4 it is close

Vertex =  (-7-10)

Vertex form of parabola

y = a ( x+7)^2 -10     find a integer-coordinat point to calculate 'a'

                                     I'll use -18,0

0 = a(-18+7)^2 -10

0 = 122 a  -10     a = 10/122

y = 10/122 (x+7)^2 - 10     see graph below:

Answer:

[tex] \frac{2}{5} + \frac{1}{3} \\ = \frac{2 \times3 + 1 \times 5 }{15} \\ = \frac{6 + 5}{15} \\ = \frac{11}{15} [/tex]

it is right answer

Answer:

Step-by-step explanation:

They want you to see how radius is important.  Just remember that one radian is one radius,  that should help  you see why radius is important.

They ask for the unit circle ,  that is a circle of one unit for the radius,  which makes it super easy to calculate things for it,  they ask what is the area, which is that famous formula, π[tex]r^{2}[/tex] ,  then they ask what's its circumference.  which is that other famous formula  2πr

so to go all the way around a circle of one unit radius,  it's  2π  exactly or about 6.28..... units,   call it meters, or feet or inches, it doesn't mater here.

the size of the circle doesn't matter here either,  b/c we are using the radius ,  that relaationship doesn't change ,  all circles,  what ever size , have this same relationship between the radius and radians.    :P  this is handy.  

Answer:

C

Step-by-step explanation:

the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.

there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.

the smaller figure appears rotated compared to the other.

so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).

The average rate of change of the trend line is 0.39

The points are given as:

hr =>200, 158, 149, 146, 138, 137, 131, 116, 103.

w =>  93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

The average rate (m) is then calculated using:

m = SP/SSX

This gives

m = 2355/6044

Evaluate the quotient

m = 0.38964

Approximate

m = 0.39

Hence, the average rate of change of the trend line is 0.39

Read more about trend lines at:

https://brainly.com/question/2589459

Answer:

0.39

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

One easy way to solve this (considering it's on paper) would be to just plot the points of each option (because a rectangle is a quadrilateral which is equiangular (right angles) and a parallelogram).
Another way to solve this is the fact that it's angles are right angles. This means that a point has to be on the line y=5 and another point has to be on the line y=1. This means that the y coordinates of the other two points has to be 5 or 1, making the only possible answer B.

Answer:

Option C:- 1,232cm³

Step-by-step explanation:

radius r = 7 m

height h = 24 m

slant height s = 25 m

volume V = 1231.50432 m3

lateral surface area L = 549.778714 m2

base surface area B = 153.93804 m2

total surface area A = 703.716754 m2

Answer:

C 1232cm^3

Step-by-step explanation:

Hope this helps!

The marginal relative frequency for the people who do not like cantaloupe is 0.455.

This refers to the addition of the joint relative frequencies in a row or column of a data table.

Hence, we would make a representation of the table from the result of the survey of 200 random people is:

                              Watermelon      Not watermelon    Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                           159                       41                          200

So, the marginal relative frequency for the people who do not like cantaloupe is 0.455.

Read more about marginal relative frequency here:
https://brainly.com/question/14101732

Answer:

C) 91/200

Step-by-step explanation:

i believe that it is choice: a.

i hope this helps

Answer:

I believe A has the proper quartiles and the approx median marked correctly

Step-by-step explanation:

Answer:

$15 and $2,985

Step-by-step explanation:

Step-by-step explanation:

This is an example like it , because I 'm lazy to write it ...

Answer:

x = -5/6

Step-by-step explanation:

Since it is on the unit circle  

  x^2   +  ( -sqrt(11)/6)^2    = 1 ^2     (pythagorean theorem)

x^2 = 1 - 11/36

x^2  = 25 /36

x =   +-5/6       since x is in Q III  it is the negative

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &108000\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=108000(1 + 0.008)^{1}\implies A=108000(1.008)\implies A=108864[/tex]

The average monthly temperature in New Orleans, LA  varies on average about 43.5°F from its monthly mean temperature.

Suppose the data specified is of n sized as

[tex]x_1, x_2, \cdots , x_n[/tex]

Let this data's mean be  [tex]\bar{x}[/tex]

Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.

It is calculated as:

[tex]M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}[/tex]

So, Mean Absolute deviation is the average of the deviation (not caring if its above or below the mean) of the data values.

Since it is given that:

Mean absolute deviation of the temperatures (monthly) in New Orleans = 43.5°F, therefore, it means, the temperature averagely varies  43.5°F from its monthly average value.

where mean shows the average monthly temperature in New Orleans, LA.

Thus, the average monthly temperature in New Orleans, LA  varies on average about 43.5°F from its mean temperature.

Learn more about mean absolute deviation here:

https://brainly.com/question/26462759

Answer:

She will save 1.24

Step-by-step explanation:

2.65 x 4 10 .60 plus .53 x 4 equals 12.72

6.48 x 2 equals 13.96

tell me if im wrong<3

Answer:

The correct answer would be D

Step-by-step explanation:

Most of the students have an average height around 166-180

and the arm span of 162-165

Student D has over the average 195 and an arm span of 188 so the correct answer would be D

Step-by-step explanation:

keisha got the both of em 10 times 8 would be 80 and then she paid for 2 15 dollar ones

I think the answer is c.2

Answer:

it arrives at 1:45

Step-by-step explanation:

since it is 10:40, we will ad 3 hours, 11, 12, 1.

Then, we still have the 40, and will have to add the 5 minutes because of the 3 hours and 5 minutes.

Giving us, 1:45

Answer:

The underlined place is not obvious, so I will do every possible round.

Step-by-step explanation:

2.374 rounded to the nearest hundredths will get you 2.37

2.37 rounded to the nearest tenths place is 2.4

2.4 rounded to the nearest 1 is 2

Answer:

o 240 cm2

Step-by-step explanation:

3.A

2.59 %

3.B

.16 x 2,000 = 320

Answer:

Circle A: 42π m

Circle B: 56 π m

Step-by-step explanation:

Base on the given:

Circle A has a radius of 21 meters.

Circle B has a radius of 28 meters.

To Find:

Find the circumference of each circle in terms of pi.

Note:

pi = 3.14 (About)

Formula:

C = 2πr

Solution:

Circle A:

2 × π  × 28

21 × 2 = 42

Circle B:

2 × π × 28

28 × 2 = 56

Thus,

Circle A : 42 π m

Circle B : 56 π m

Kavinsky

Answer:

318

Step-by-step explanation:

318 is the required answer

I hope it helped you

So given Figure we need to find total surface area

=Area(ABCD)+Area(BCRQ)+Area(QRSP)+Area(ADSP)+Area(ABQP)+Area(DCRS)

=(AB×BC)+(BC×CR)+(QR×RS)+(AD×DS)+(AB×BQ)+(DC×CR)

From figure,

AB=DC=PQ=SR=9 cm

BQ=CR=AP=DS=11 cm

BC=AD=QR=SP=3 cm

On substituting these values We get

Surface Area=(9×3)+(3×11)+(9×3)+(11×3)+(9×11)+(9×11)

=27+33+27+33+99+99=318

I hope it helped you

Answer:

318

Step-by-step explanation:

A=2(wl+hl+hw)=2·(9·3+11·3+11·9)=318

Answer: It's $619.98

Answer:

Step-by-step explanation:

The payment for sessions makes a series

This series is GP with the first term of 5 and common ratio of 5.

The nth term would be

Use the equation above and find the 7th term

Answer:

[tex]a_7=5(5)^{6}[/tex]

78125 dimes

Step-by-step explanation:

The given scenario can be modeled as a geometric sequence.

A geometric sequence has a common ratio (multiplier) between each term, so each term is multiplied by the same number.

General form of a geometric sequence:

   [tex]a_n=ar^{n-1}[/tex]

where:

Given:

Therefore, a = 5

Given:

Therefore, r = 5

Substitute these values into the formula to create an equation for the nth term.

[tex]\implies a_n=5(5)^{n-1}[/tex]

To find the number of dimes he will pay after 7 sessions, simply substitute n = 7 into the found equation:

[tex]\implies a_7=5(5)^{7-1}[/tex]

[tex]\implies a_7=5(5)^{6}[/tex]

[tex]\implies a_7=5 \cdot 15625[/tex]

[tex]\implies a_7=78125[/tex]

Therefore, the friend will pay 78125 dimes after the 7th study session.