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A serval, an African wildcat, leaps high above the ground to pounce on its prey. The height of the serval above the ground in relation to the horizontal distance it travels, both measured in feet, is modeled by the given function.

What does the domain of the function represent in this situation?

A.
the horizontal distance the serval travels during its leap
B.
the height of the serval along the path of its leap
C.
the horizontal distance at which the serval reaches its maximum height above the ground
D.
the maximum height the serval reaches above the ground

Step 1: Use slope formula* to determine slope (or m) using both points given.

[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]

Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.

[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]

Step 3: Now we can set up an equation of this line in slope-intercept form.

[tex]y = 2x + 5[/tex]

*Slope formula: y₂ - y₁/x₂ - x₁

**Slope-intercept formula: y = mx + b

Answer:

The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.

Step-by-step explanation:

Answer:

This table represents a function

y is 1.3 times x

y=1.3x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did math

Answer:

a

Step-by-step explanation:

hope yall have a good day going back to school

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

Answer:

The answer is 34

Step-by-step explanation: I just have a big brain

Answer: [tex]t_n = 4n - 2[/tex]

===========================================

Work Shown:

The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.

[tex]t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2[/tex]

Which is the answer.

--------------------------------

If you were to plug in say n = 3, then we get

[tex]t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10[/tex]

showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]

            [tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

Answer:

Step-by-step explanation:

Answer:

tytyty

Step-by-step explanation:

Answer:

50 cents

Step-by-step explanation:

4.50 + 5.00 + 5.00 + 2.00 x 3 = ?

                                                   ^

                                       20.00 - ?

Answer:

240

Step-by-step explanation:

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

Answer:

Conner is correct.

Step-by-step explanation:

Answer:

Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.

Step-by-step explanation:

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

Answer:

C

Step-by-step explanation:

Money lost. Keyword "lost". Ages, people, and height can't be negative. ( I guess people can be negative mentally but not physically)

Answer:

Step-by-step explanation:

Answer:

I can barley see it but i think i know what to do.

Step-by-step explanation:

First i have to write down on a piece of paper:D

Answer:

D. 14

make y the subject of the formula in equation 1 and then substitute it in equation 2

Answer:

25000

Step-by-step explanation:

it's independent because it's not related with her total sales s

Answer:

90 is correct good job

Step-by-step explanation:

Answer:

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Step-by-step explanation:

System of Equations

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Answer:

5% raisin mix: 800 lbs

20% raisin mix: 200 lbs

Step-by-step explanation:

Let number of 5% be x; and number of 20% be a.

x + y = 1000

5% · x + 20% · y = 8% of 1000 pounds

0.05x + 0.2y = 80

x = 1000 - y

0.05(1000 - y) + 0.2y = 80

50 - 0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

x = 1000 - 200

x = 800

100 times 7= 700 any number times 100 you would add two zeros, 700+23=723

Hope this helps :]

Answer:

undefined

Step-by-step explanation:

Answer: 119/15 = 7 14/15

Answer:

6p

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

\text{Compounded Daily:}

Compounded Daily:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365

A=70900P=37000r=0.057n=365

Given values

70900=

70900=

\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}

37000(1+  

365

0.057

​  

)  

365t

Plug in values

70900=

70900=

\,\,37000(1.0001562)^{365t}

37000(1.0001562)  

365t

Simplify

\frac{70900}{37000}=

37000

70900

​  

=

\,\,\frac{37000(1.0001562)^{365t}}{37000}

37000

37000(1.0001562)  

365t

​  

Divide by 37000

1.9162162=

1.9162162=

\,\,1.0001562^{365t}

1.0001562  

365t

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)

log(1.0001562  

365t

)

Take the log of both sides

\log\left(1.9162162\right)=

log(1.9162162)=

\,\,\color{blue}{365t}\log\left(1.0001562\right)

365tlog(1.0001562)

Bring exponent to the front

\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=

log(1.0001562)

log(1.9162162)

​  

=

\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}

log(1.0001562)

365tlog(1.0001562)

​  

Divide both sides by log(1.0001562)

4164.8632402=

4164.8632402=

\,\,365t

365t

Use calculator

\frac{4164.8632402}{365}=

365

4164.8632402

​  

=

\,\,\frac{365t}{365}

365

365t

​  

Divide by 365

11.4105842=

11.4105842=

\,\,t

t

t\approx

t≈

\,\,11

11

Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

Hence, the parameters are given as follows:

[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]

We have to solve for t, then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]

[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]

[tex](1.00015616)^{365t} = 1.91621622[/tex]

[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]

[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]

[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]

t = 11.41

Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.

More can be learned about compound interest at https://brainly.com/question/25781328

#SPJ2

Answer:

Step-by-step explanation:

  Step one:

Given that membership is $9 and the cost per visit is $1

let the number of visits be x

and the total cost be y

the total cost  for the situation is modeled as

y=mx+c-----equation of a line

   Step two:

given that x=23, we can solve for the totals cost as

by substituting we have

y=1*23+9

y=23+9

y=32

The total cost for 23 visits is $32