Find the equation of the exponential function represented by the table below:

0
2
1
4
2
8
3
16

Answer:

Step-by-step explanation:

24

Answer:

Exact = 3822

Step-by-step explanation:

2275/(15*20) = cost per square footage which is approx. 7.583

18*28* cost per footage = 3822

Answer:

angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles

Answer:

1. False   Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.

2. False   interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.

3. True  (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.

4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)

Step-by-step explanation:

Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal

Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal

Answer: 15 cm

Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.

Answer:

[tex]$4.\overline{54}[/tex]

Step-by-step explanation:

The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].

So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.

Functions can be used to model real life scenarios

The function is given as:

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(a) Sketch V(t)

See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(b) The reasonable domain

t represents the number of weeks.

This means that: t cannot be negative.

So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]

(c) Average rate of change from t = 0 to 2

This is calculated as:

[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]

Calculate V(2) and V(0)

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]

So, we have:

[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

Hence, the average rate of change from t = 0 to 2 is 20

(d) The instantaneous rate of change using limits

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

The instantaneous rate of change is calculated as:

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]

So, we have:

[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]

[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]

Expand

[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]

Subtract V(t) from both sides

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]

Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]

Cancel out common terms

[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]

Limit h to 0

[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]

[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]

(e) V(2) and V'(2)

Substitute 2 for t in V(t) and V'(t)

So, we have:

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]

Interpretation

V(2) means that, 20 people were infected after 2 weeks of the virus spread

V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week

(f) Sketch the tangent line at (2,V(2))

See attachment for the tangent line

The slope of this line is:

[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

The slope of the tangent line is 10

(g) Estimate V(2.1)

The value of 2.1 is

[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]

[tex]\mathbf{V(2.1) = 20.35}[/tex]

(h) The maximum number of people infected at the same time

Using the graph, the maximum point on the graph is:

[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]

This means that:

The maximum number of people infected at the same time is approximately 21.

The rate of infection at this point is:

[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]

[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]

[tex]\mathbf{m = 8.79}[/tex]

The rate of infection is 8.79 people per week

Read more about graphs and functions at:

https://brainly.com/question/18806107

Answer:

[tex]x^2-10x+16[/tex]

Step-by-step explanation:

The way I would find the equation is by finding the factored form of the equation form. That equation would be (x-2)(x-8). These are correct because if you set both of these equal to zero, your x-values will be equal to 2 and 8.

x-2=0

x=2

x-8=0

x=8

If you want the standard form of the equation,  all you have to do is multiply it out.

[tex](x-2)(x-8)\\x(x-8)-2(x-8)\\x^2-8x-2x+16\\x^2-10x+16[/tex]

Boom. There's your answer!

The cost per box of cookies is $3.75

The total amount Hannah raised from the sales of cookies is $52.50

The total amount Mallory raised from the sales of cookies and donations is $88.50

In order to determine the cost per box of cookies, take the following steps:

The first step is to determine the total sum of the boxes sold by Hannah and Mallory

Sum of the boxes sold = 14 + 22 = 36 boxes

36 boxes were sold by Hannah and Mallory

The second step is to determine the total cost of the 36 boxes sold.

Total cost of 36 boxes = total amount raised - donation

$141 - $6 = $135

The third step is to determine the total cost of each box

cost of one box = total cost of 36 boxes / total number of boxes

135 / 36 = $3.75

The total amount Hannah raised = cost per box x number of boxes she sold

14 x $3.75 = $52.50

The total amount Mallory raised = amount raised from the sale of cookies + donation

amount raised from sales = cost per box x number of boxes she sold

22 x $3.75 = $82.50

Total amount = $82.50 + $6 = $88.50

A similar question was answered here: https://brainly.com/question/10915476?referrer=searchResults

Answer:

2 11/12

Step-by-step explanation:

The average of 2 ⅓ and 3 ½ is 2 ‌11⁄12‌. To find the average, find the sum of the fractions and divide by 2.

2 ⅓ + 3 ½ = ‌7⁄3‌ + ‌7⁄2 = ‌14⁄6 + ‌21⁄6 = ‌35⁄6 or 5 5⁄6

5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12

The average of 2⅓ and 3½ is 2 11/12

2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6

5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12

Finding the Average

Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:

Add the given values.

Divide the sum by the count of values.

Equation:

(2 1/3 + 3 1/2) / 2 = ?

Solution:

(2 1/3 + 3 1/2) / 2 = ?

* Change the mixed numbers to improper fractions.

= (7/3 + 7/2) / 2

* Add the fractions. Find the LCD.

= (14/6 + 21/6) / 2

= ( 35/6 ) /2

To divide change the sign to multiplication, The give the reciprocal of the second fraction

= 35/6 × 1/2

= 35/12 or 2 11/12

Final Answer:2 11/12

Answer:

option D .....11

Option c 36

Answer:

x=19/10

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

POSITIVE

Step-by-step explanation:

Because the product of 2 negative numbers is a positive number

Answer:

because of parallel lines it's 63

Answer:

so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.

about it ok to my house and Elsa and Anna and I are going to my house and I don't know what it's like to my

Answer:

$23.10

Step-by-step explanation:

To get how much money you will have to pay for  7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.

8.25 (y) divided by 2.5 (x) = $3.30

You will pay $3.30 for 1 kg

So $3.30 x 7 = 23.10

You will pay $23.10 for 7 kg of potatoes.

** I hope this helps

Answer:

hell no

Step-by-step explanation:

bbbb

Answer:

first answer = 2

second answer = 12

third answer = - 12

fourth answer = 2

How will I answer that, the image isn't showing luv

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin ☺️

Answer:

7¹⁰ :) hope this helps you!!

Answer:

5 average speed

Step-by-step explanation:

Answer:

eeessddsddddddddd

Step-by-step explanation:

ddds

its right because

6 x 5 is the area of the leftmost rectangle

4 x 5 is the area of the bottom rectangle

3 x 5 is the area of the rightmost rectangle

5 x 5 is the area of the slanted square on the top

the last term is the area of the trapezoid, which is (base1 + base2) x height /2

they split the trapezoid thing into a square and a triangle, which gets you the same answer

they multiplied it by 2 because there are 2 trapezoids

Answer:

X has to be 8, so 5x8=40

Step-by-step explanation: