What is the approximate average rate of change over the interval [2, 6]?

Complete question :

Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.

Answer:

Left over = 2292 in²

Step-by-step explanation:

Given that :

Gift boxes are identical ;

Each gift box is a cube with side length, s = 6 inches

Area of gift box, Surface area of a cube = 6s²

Area = 6(6²) = 6 * 36 = 216 in²

Area of one gift box = 216 in²

6 gift boxes will be : 216 in² * 6 = 1296 in²

Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²

Dimension of wrapping paper = 30 inches by 10 feets

Recall :

1 Feet = 12 inches

Hence ; dimension of wrapping paper becomes :

30 inches by (10*12) inches

30 inches by 120 inches

Area of wrapping paper = 30 * 120 = 3600 in²

Total area of paper - area of gifbox - area of overlap

(3600 - 1296 - 12) in²

= 2292 in²

Leftover = 2292 in²

right

Step-by-step explanation:

The value of the probability represented by P(Take the bus | Sophomore) is 0.83

Conditional probabilities are probabilities that only occurred because an event has already occurred i.e. they are dependent on the initial event

From the table of values in the question, we have the following parameters:

The required probability represented by P(Take the bus | Sophomore ) = [?] is then calculated as:

P(Take the bus | Sophomore) = Number of students that (Take the bus and Sophomore) divided by Number of students that are (Sophomore)

Substitute the known values in the above equation

P(Take the bus | Sophomore) = 25/(2 + 25 + 3)

Evaluate the sum in the denominator

P(Take the bus | Sophomore) = 25/30

Evaluate the above quotient

P(Take the bus | Sophomore) = 0.83

Hence, the value of the probability represented by P(Take the bus | Sophomore) is 0.83

Read more about probability at

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Answer:

-2.5

Step-by-step explanation:

Answer:

The answer is B. When we count to the left the second digit is tens place

Answer:

it will require main verbs and auxiliary verbs that are in agreement with singular nouns and some singular pronouns.

Step-by-step explanation:

Answer:

x = 6

y = 2

Step-by-step explanation:

From the second equation (x - 3y = 0) we know that x = 3y, now we just substitute 3y instead of "x" in the first equation and get...

x + 2y = 10

3y + 2y = 10

5y = 10

y = 2

Now we can find "x" since we know what "y" is equal to.

x + 2y = 10

x = 10 - 2y

x = 10 - (2)(2)

x = 10 - 4

x = 6

Answer-

5/6

Step-by-step explanation:

Answer:

The answer is 5

hope it helps

Answer:

n = 5 units

Step-by-step explanation:

We can solve this using 2 different equations which lead to the same answer:

Equation #1: Sin(30) = n/10

=>Sin(30) * 10 = n

=> 5 = n

Equation #2: Cos(60) = n/10

=> Cos(60) * 10 = n

=> 5 = n

If a number is a whole number, it is in it's simplest radical form, therefore;    n = 5 units is the correct answer

Hope this helps!

Answer:

A. 6cm, 7cm, 8cm represents the lengths of a given right angle

Answer:

5.65685424.

Step-by-step explanation:

Square Root of 32: √32 = 5.65685424...

Answer:6

Step-by-step explanation:

Answer

40.9

Step-by-step explanation:

Answer:

40.9 mm

Step-by-step explanation:

116.9 - (35.1 + 40.9) = 116.9 - 76 = 40.9 mm

Answer:

I'm not totally sure, but I think the answer is thousands.

Step-by-step explanation:

Answer:

C (Srr if its incorrect)

Step-by-step explanation:

Answer:

The correct answers are "x - 3 = 0,  6 = 2x,  x(2) = 9"

Answer:

6/5 hours

Step-by-step explanation:

GIVEN :-

Lets say ,

TO FIND :-

PROCEDURE :-

In 2 hours , Pump A fills the whole tank.

⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)

In 3 hours , Pump B fills the whole tank.

⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)

In 1 hour , when both pumps will be used together , they will fill =

(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)

⇒  [tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]=> \frac{5}{6}[/tex] part of tank

5/6 part of tank will be filled by both the pumps in = 1 hour.

Using unitary method, multiplying both the sides with 6/5 -

⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours

⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours

∴ Both the pumps will take 6/5 hour to fill the tank , when used together.

Answer:

The mean is 4

Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZZZZZZz

ita 4 because first you add up the 10,3,2,5,0. and then it equals 20 and then divided and get the mean which is 4

Answer:

4 points

Step-by-step explanation:

is the answer

Respuesta:

Perímetro de la parte sombreada = (6pi + 24)

Explicación paso a paso:

Encuentra el diagrama adjunto

Primero necesitamos encontrar el perímetro de los semicírculos externos que sobresalen

Diámetro del semicírculo = 1/2 de la longitud del lado del cuadrado

Diámetro del semicírculo = 1/2 × 6 m = 3 m

Perímetro de los 4 semicírculos = 4 (pi d)

Perímetro de los 4 semicírculos = 4 × 3,14 × 3

Perímetro de los 4 semicírculos exteriores = 1

2pi cm

Para la parte interior sombreada = Perímetro de todo el cuadrado - Perímetro de semicírculo (2 cuadrantes)

Perímetro del cuadrado entero = 4 (6) = 24m

Perímetro de los 2 cuadrantes = pi d

Perímetro de los 2 cuadrantes = 6pi cm

Para la parte sombreada interior, perímetro = 24-6pi

Perímetro de la parte sombreada = 12pi + 24-6pi

Perímetro de la parte sombreada = (6pi + 24) cm

Answer:

Where is the Box Plot

Step-by-step explanation:

Answer:

where did you repost

Step-by-step explanation:

where

Answer:

The area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].

Step-by-step explanation:

The formula for the surface area of a cube is :

[tex]A=6s^2[/tex]

Where

s is the cube's side length

Put s = 1/4 foot

So,

[tex]A=6\times (\dfrac{1}{4})^2\\A=0.375\ \text{foot}^2[/tex]

So, the area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].

Answer:

100.48 square inches

Step-by-step explanation:

Surface area of a cylinder = 2πr(r+h)

r is the radius

h is the height

Given

radius = 9in

height = 7in

π = 3.14

Substitute into the formula

Surface area of the cylinder = 2(3.14)(9+7)

Surface area of a cylinder = 2*3.14*16

Surface area of a cylinder = 100.48 square inches

Hence the  amount of wrapping paper you need to wrap a gift in the

cylindrical box is 100.48 square inches

Answer:

the blue one

Step-by-step explanation:

Answer:

a-

Step-by-step explanation:

hi

Answer:

yes It has

Step-by-step explanation:

v of the tank

v= [tex]\pi[/tex]r^2  h

v=3.14*144*20

v=9034

the v of each ballon :

V = 4/3 [tex]\pi[/tex]r^3

v=4/3 * 3.14 .8

v= 33.5

all the ballons v is 250 * 33.5 = 8373

9034-8373 = 661 v of the water in the tank would be left

Answer:

d= 90 degrees

e= 66 degrees

f= 114

Step-by-step explanation:

D is 90 because the measure of the angle on the line is 180 and it shows that the other angle is 90 and 180- 90= 90. E is 66 because opposite angles are congruent. F is 114 because they lie on a straight line which has the measure of 180 and 180- 66= 114

Answer:

d = 90°

e = 66°

f = 114°

Step-by-step explanation:

d = 90°

e = 66°

Reason : Vertically opposite angles

Angles f and 66° are in the linear pair.

f + 66° = 180°

f = ( 180 - 66 )°

f = 114°

Answer:

20

Step-by-step explanation:

First you want to find out how many hot dogs in this case, 3 x 8 which equals 24. Then you have to subtract 24 - 4 that equals 20.

Answer:

20

Step-by-step explanation:

There are 3 packages of hot dogs and each has 8 in it

8+8+8=24

24-4=20

Answer:

9.6 x 10^3 thats the answer...............................................................

Answer:

502 (sorry if I’m wrong)

Step-by-step explanation:

Answer:

502

Step-by-step explanation:

It doesn't end with 0