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Answer:

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

→

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

Hope i helped

Answer:

you take 2 points on the graph

(3,300) and (6,200)

and then you do y2 -y1

                           x2-x1          

you plug in the values

200-300

6-3               =    -(100)/(3)

every 3 years the resale of a refrigerator decreases by 100 dollars.

its basically the rate that the price goes down for resale value of a refrigerator

Step-by-step explanation:

Let's take the points displayed on this graph:

(300, 3) (200, 6) and (100, 9).

Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.

3 years after original purchase: $300

Increase years by three, value goes down by $100

6 years after original purchase: $200

The rate of change in this situation means that for every  resale three years after the original purchase, the value will decrease by $100.

123.7 cm = 1.237 meters

hope it helps.

Answer:

3

Step-by-step explanation:

cross multiply

Answer:

$24/5 weeks = $4.80 saved per week.

$4.80 is 30% of what number?.....

4.8=0.3*X....... 4.8/0.3=X ........X=16

So, Joseph receives $16 per week.

Step-by-step explanation:

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r/n)^ nt

Where

A represents the value after t years.

n represents the period for which the decrease in value is calculated

t represents the number of years.

P represents the value population.

r represents rate of decrease.

From the information given,

P = 23000

r = 8% = 8/100 = 0.08

n = 1

Therefore, the exponential decay function described in this situation is

A = 23000(1 - 0.08/n)1)^ 1 × t

A = 23000(0.92)^t

If A = 15000, then

15000 = 23000(0.92)^t

0.92^t = 15000/23000 = 0.6522

Taking log of both sides to base 10

Log 0.92^t = log 0.6522

tlog 0.92 = log 0.6522

- 0.036t = - 0.1856

t = - 0.1856/- 0.036

t = 5 years to the nearest year

Answer:

2 hours

Suzy would earn $40

Bill will earn $40

they will both earn $80

Step-by-step explanation:

The total amount suzy earns is a function of the total hours worked. Let t represent time

total income of suzy = $20t eqn 1

Bill's income = starting bonus + variable pay

= $20 + $10t

We are looking for when they would earn the same amount :

20t = $20 + $10t  eqn 2

collect like terms and solve for t

10t = $20

t = 2 hours

Substitute for t in either eqn 1 or 2

20(2) = $40

Suzy would earn $40

Bill will earn $40

they will both earn $80

Answer:7b+9x

Step-by-step explanation:hope I helped

Answer:

1

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

Answer:

s = 2.8h

Step-by-step explanation:

Answer:

s = 2.8h

Step-by-step explanation:

2.8 inches of snow : 1 hour

Total snowfall = 2.8 × number of hours

2.8 × h = s

2.8h = s

Step-by-step explanation:

[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]

Answer:

d.   $8,623.40

Step-by-step explanation:

EDGE 2021

Step-by-step explanation:

6,000,000-300=5,999,700

Answer:

5,999,700 millones

Step-by-step explanation:

Resta 6 ,millones a 300

Answer:

1/2

Step-by-step explanation:

3/8 + 1/8=

4/8=

1/2

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

Answer:

9c4+27 is what I got from solving

Answer:

9(7+c)

I hope it's correct sorry if I'm wrong :(

Answer:

Step-by-step explanation:

We know that:

Substitute x with g(x) and solve for g(x):

Answer:

The answer is 17

Step-by-step explanation:

First, add 9 to 8

17 = u

Answer:

u=17

Step-by-step explanation:

8=-9+u

-u=-9-8

-u=-17

u=-17

Answer: 2

Step-by-step explanation:

Because if u divide 12÷6=2 2×6=12

Answer: [tex]x=6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}[/tex]

Answer:-800

Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x

Answer:

-800

Step-by-step explanation:

since you need to mutiply first,

10 x 10 +  100 - 1000 = X

100 + 100 - 1000 = X

200 - 1000 = X

-800 = X

hope it helps!!!

Answer:

[tex]V = 6746.30cm^3[/tex]

Step-by-step explanation:

Given

[tex]Surface\ Area = 1700cm^2[/tex]

Required

Determine the largest possible volume

Represent the dimension with:

[tex]Height = h[/tex]

[tex]Sides = x[/tex]

Surface Area with an open top is:

[tex]Surface\ Area = x^2+ 4hx[/tex]

Substitute 1700 for Surface Area

[tex]1700 = x^2+ 4hx[/tex]

Make h the subject

[tex]4hx = 1700 - x^2[/tex]

[tex]h = \frac{1700 - x^2}{4x}[/tex]

The volume (V) is calculated as:

[tex]V = x^2h[/tex]

Substitute value for h in [tex]V = x^2h[/tex]

[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]

[tex]V = x*\frac{1700 - x^2}{4}[/tex]

[tex]V = \frac{1700x - x^3}{4}[/tex]

[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{1}{4}x^3[/tex]

Differentiate and equate to 0, afterwards

[tex]V' =425 - \frac{3}{4}x^2[/tex]

[tex]425 - \frac{3}{4}x^2 = 0[/tex]

[tex]\frac{3}{4}x^2 = 425[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = 425 * \frac{4}{3}[/tex]

[tex]x^2 = 566.67[/tex]

Take the square root of both sides

[tex]x = \sqrt{566.67[/tex]

[tex]x = 23.80[/tex]

Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]

[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]

[tex]h = \frac{1133.56}{95.20}[/tex]

[tex]h = 11.91[/tex]

So, the largest possible volume is:

[tex]V = x^2h[/tex]

[tex]V = 23.80^2 * 11.91[/tex]

[tex]V = 6746.30cm^3[/tex]

First, order the number set from least to greatest:

3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20

Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:

(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10

(97)/10 = 9.7

Mean: 9.7

Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:

8 & 9 are the median numbers:

(8 + 9)/2 = (17)/2 = 8.5

Median: 8.5

Mode: The mode is the number(s) in the set that shows up the most:

Mode: 4 (shows up one more time than all other numbers)

Range:  The range can be found by subtracting the least number from the greatest number in the number set:

Range: 20 - 3 = 17

Range: 17

~

Answer:

B: goals per game

Step-by-step explanation:

She will atleast score 4 goals per game