the table of value shows a linear relationship

Answer:

I plotted it out on the graph and here it is:

Answer:

895.05

Step-by-step explanation:

5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.

The answer is 895.05

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

The exponential function f(x) can represent growth or decay

The value of f(14) is 226.07

The given parameters are:

f(-2) = 25 and f(7) = 85

An exponential function is represented as:

f(x) = ab^x

So, we have:

ab^-2 = 25

Also, we have:

ab^7 = 85

Divide both equations.

This gives

b^9 = 3.4

Take the 9th root of both sides

b = 1.15

Recall that:

ab^7 = 85

This gives

a* 1.15^7 = 85

Solve for a

a = 31.95

So, the exponential function is:

f(x) = 31.95 * 1.15^x

Substitute 14 for x

f(14) = 31.95 * 1.15^14

f(14) = 226.07

Hence, the value of f(14) is 226.07

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

$850.69824

Step-by-step explanation:

Answer:

$850.70 (nearest cent)

Step-by-step explanation:

Simple interest formula:   A = P(1 + rt)

where:

Given:

Substituting given values into the formula, and solving to find A:

⇒ A = 6604.8(1 + 0.0322 · 4)

       = 6604.8(1.1288)

       = $7455.50 (nearest cent)

Therefore, to find the amount of interest earned, subtract the principal from the final amount:

⇒ I = A - P

     = 7455.50 - 6604.80

     = $850.70 (nearest cent)

Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

Answer:

By Pythagoras theorem

H^2=P^2+B^2

25^2=x^2+24^2

625=x^2 + 576

625-576=x^2

49=x^2

x^2=49

x=√49

x=7cm

Hope this helps uhh

Answer:

The reflection coordinates of JKL would be:

J (3,7)

K (2,3)

L (-1,5)

The reflection coordinates of MNP would be:

M (8,-6)
N (2,-4)
P (8,-4)

Step-by-step explanation:

Answer:

D: 699

E: 582.5

F: 116.5

2. 1398

3. 13048

Step-by-step explanation:

Hope this helps!

Answer:

A

Step-by-step explanation:

26 + 28 = 54

54 + 21 = 75

75 + 13 = 88

88 / 4 = 22

Answer is A

Answer: 22

Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88

Then divide 88 by 4: 22

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Given function:

[tex]y=\dfrac{5x}{x+6}[/tex]

[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]

[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there).    Therefore, the horizontal asymptote is [tex]y=5[/tex]

Answer:

1

Step-by-step explanation:

Choose two points on the line:  (-5, 0) and (0, 5)

Let the first point [tex](x_1,y_1)[/tex] = (-5, 0)

Let the second point [tex](x_2,y_2)[/tex] = (0, 5)

Use the gradient formula:

[tex]\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1[/tex]

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

If you want to find the equation of the line, use the point-gradient form of a linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the gradient and [tex](x_1,y_1)[/tex] is a point on the line)

Substituting the values into the formula:

[tex]\implies y-0=1(x-(-5))[/tex]

[tex]\implies y-0=x+5[/tex]

[tex]\implies y=x+5[/tex]

Therefore, the equation of the line is y = x + 5

Answer:

3(C + 5) = 7

Step-by-step explanation:

Let C = unknown number

The sum of a number and 5:

C + 5

Three times the sum of a number and 5:

3(C + 5)

Three times the sum of a number and 5 is 7:

3(C + 5) = 7

To solve

Use the distributive law:  a(b + c) = ab + ac

⇒ 3C + 15 = 7

Subtract 15 from both sides:

⇒ 3C = -8

Divide both sides by 3:

⇒ C = -8/3

So

The expression is

On solving

Answer:

11/5mi or 2.2mi

Step-by-step explanation:

1/2 +3/5 +11/10 =11/5mi

Hey there!

0.5 + 0.6 + 1.1 = 2.2

Total miles = 2.2mi

Answer:

none of the above

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

The function that can be find used to find the number of circles needed to make the nth figure in the sequence is (C + 1) + 4.

The sequence can be illustrated through the function (C + 1) + 4 where C is the previous number. For the third picture, the number of circles will be:

= (C + 1) + 4

= 5 + 4

= 9

The fourth term will be:

= 9 + 4

= 13

Therefore, each figure uses 4 circles more than the previous one.

Learn more about sequence on:

https://brainly.com/question/6561461

Answer:

Step-by-step explanation: This function can be used to find the number of circles needed to make the nth figure in the pattern.

Each figure uses 4 more circle(s) than the previous figure because an additional circle is added to the top, bottom, left, and right sides.

the other half i got incorrect.

Step-by-step explanation:

a = 18

n = 10 th term

difference (d) = 72-10 = 62

an ( n th term ) = a + (n-1)d

a10 ( 10 th term = 18 + (10-1)62

= 18 + 9×62

= 18 + 558

10 the term = 576

Answer:

A

Step-by-step explanation:

Remember domain is input and range is output.

Input: All real numbers

Output: [0, infinity)

A

Answer:

B. 90 in²

Area of white triangle

3×4/2

12/2 = 6 in²

Area of blue triangle

12×16/2

192/2= 96in²

96in² - 6in² = 90 in²

Answer: 1/2

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Have a great day!

#EquestrianLion

We need zeros

[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]

[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]

In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~

[tex]\qquad \sf  \dashrightarrow \:3y = 90 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 90 \degree \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 30 \degree [/tex]

Now, Let's use Angle sum property of Triangle to solve for z :

[tex]\qquad \sf  \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 40 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 40 \degree \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 10 \degree [/tex]

I hope you understood the procedure, you can ask me in comments if you have any doubts.

Answer:

hello

18 % =  24

3 % = ( 3 x 24 ) / 18 = 4

Step-by-step explanation:

Answer:

  840 km

Step-by-step explanation:

The speed expression ...

  840 kilometers per hour

means the plane files 840 kilometers in each hour.

In 1 hour, it will travel 840 km.

Answer:

1 liter

Step-by-step explanation:

x2by 100%8hdofux27675 868*uhf