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algol [13]
3 years ago
14

[100 pts] A musician purchases a pair of cube-shaped speakers that are 9 inches across. If the face of the speaker takes up of t

he total volume of the speaker, how much volume is left in both speaker cabinets?
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

1215 cubic inches

Step-by-step explanation:

If the cubes are 9 inches across, then each one has a volume of 9^3=729 cubic inches. If 1/6 of this is taken up by the face, then 5/6 is left over for the cabinet. 5/6*729=607.5 cubic inches for a single speaker, which when multiplied by 2 to get both of them yields 1215 cubic inches, or answer choice D. Hope this helps!

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A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a
Artemon [7]

The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

The distance between the rabbit and fox, d = 35 feets

The rabbit's speed = 40 feets per second

Fox's speed = F

In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

Speed = distance / time

Distance = speed × time

Rabbit's distance from fox after time t will be :

35 + (40 × t) = 35+40t

Fox's distance after time, t = fox speed × t = F × t

In other to catch up ; both fox and rabbit must be at the same distance ;

Rabbit's distance at time t = Fox's distance at time t

35+40t = Ft

To solve for F which is the fox's speed:

Divide both sides by t

(35+40t) / t = Ft/t

35/t + 40 = F

Hence, the fox' s speed must be : 35/t + 40

To obtain the exact speed of the fox, we must be given a specific time value.

Learn more : brainly.com/question/18112348

4 0
3 years ago
Round 10.054 To 2 decimal places
antoniya [11.8K]
The answer to "Round 10.054 To 2 decimal places" is 10.05
3 0
3 years ago
The circle graph shows how a family budgets its annual income. If the total annual income is $140,000, what amount is budgeted f
lorasvet [3.4K]

Answer:

i'm not sure but if you get a calculator and add the percentages up you will probably get the answer

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The sales decay for a product is given by S = 70000e^ -0.8x where S is the monthly sales and x is the number of months that have
Gre4nikov [31]

Answer:

After 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09

Step-by-step explanation:

Let's find the solutions for the two questions.

First question: How many months after the end of the campaign will sales drop below 1000.

Because the problem asks for how many months, and since 'x' represents month variable, then the problem is asking for 'x'.

Using the same equation for sales we can observe the following:

S=70000*e^{-0.8X}, but we have S which is 1000, so:

1000=70000*e^{-0.8X} which is equal to:

1000/70000=e^{-0.8X} which is equal to:

1/70=e^{-0.8X} by applying ln(x) properties:

ln(1/70)=ln(e^{-0.8X}) which is equal to:

ln(1/70)=-0.8X which is equal to:

ln(1/70)/(-0.8)=X so:

X=5.31 months

Second question: what will be the sales 5 months after the end of the campaign.

Because the problem asks for what will be the sales, and since 'S' represents the sales, then the problem is asking for 'S'.

Using the same equation for sales we can observe the following:

S=70000*e^{-0.8X}, but we have x which is 5 months, so:

S=70000*e^{-0.8*5} which is equal to

S=1282.09

In conclusion, after 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09.

8 0
3 years ago
A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?
Zepler [3.9K]

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

7 0
3 years ago
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