Delta math needed!!!

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer: 2.5

Step-by-step explanation:

For this problem, we see that 4km is 1/2 of 8km.

So, we will have to find 1/2 of 5km.

1/2 of 5km = 2.5km

Your answer is 2.5km

Answer:

2.48548 Miles or simplified 2.5

Step-by-step explanation:

You Divide by 1.609 to find the answer.  

Answer:

Step-by-step explanation:

Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

Answer:

LEAST TO GREATEST: should be A. (-11/8, -3/4, -0.5, 3/8) hope this helped

Step-by-step explanation:

-1/2 is negative .0 = -0.5

-3/4 is negative .75 = -0.75

-11/8 is negative 1. 3 = -1.3

3/8 is a positive .375 = 0.375

Let Me Know if i was right.    :)

Answer:

-1 1/8, -3/4, -1/2, 3/8

Step-by-step explanation:

convert to improper fractions and same denominator

-1 1/8 = -9/8

-3/4 = -6/8

-1/2 = -4/8

3/8 = 3/8

Because -1 1/8 is further left on the number line, then -3/4, then -1/2, and finally 3/8.

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

Answer:

#3

Step-by-step explanation:

Answer:

4.5454545454545454. . .

Step-by-step explanation:

Original equation:

2500 + 110h < 3000

Subtract 2500 from both sides

110h < 500

Divide both sides by 110

h < 4.5 (rounded to the nearest tenth)

Hope this helps :)

Please consider Brainliest :)

Answer:

8-16x-16u

Step-by-step explanation:

(-1+2x+2u)(-8)       multiply each term in the  (   ) by 8

-1x(-8)-2x x 8-2u x 8   any expression multiplied by -1 equals its opposite

8-2x x 8-2u x 8           calculate the product

8-16x-2u x 8

Answer:

D $26

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

4(5+6g)

4*5+4*6g

20+24g

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

The given expression is 20+24g.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression can be simplified as follows:

20+24g

= 4(5+6g)

The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

Answer:

5:8

Step-by-step explanation:

Answer:

8 to 5

Step-by-step explanation:

The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

The given parameters are:

Gallons = 12

Cost = $39.48

The unit price is calculated as:

Unit = Cost/Gallon

So, we have:

Unit = $39.48/12

Divide

Unit = $3.29

Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

Read more about unit rates at:

https://brainly.com/question/19493296

#SPJ1

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Answer:

graph A is the answer because the M is at the 3 and it move up 5

Answer:

5.44 gallons of paint

Step-by-step explanation:

First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.

Area=(length*width)4

Area=(12*8.5)4

Area=(102ft^2)4

Area=408ft^2

Therefore, the total area of the walls is 408ft^2.

Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.

408/75

=5.44 gallons

Therefore, we would need 5.44 gallons of paint to paint the four walls.

I hope this helps!

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Answer:

A if i'm not mistaking

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

Answer: 2.6 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The watts used was;

= (5,657 * 28/60 hours) / 1,000

= ‭2,639.93333333

In kilowatts;

= ‭2,639.93333333/1,000

= 2.6399333 kilowatts

CO2 produced;

= 2.6399333 * 0.99

= 2.613533967‬

= 2.6 pounds of CO2

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

Answer:

5 meters

Step-by-step explanation:

a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

Answer:

-4, 6

Step-by-step explanation:

[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]

Answer:

Yes you got it right.

Step-by-step explanation:

x= -7/4

x= -1 3/4, x= -1.75