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3 years ago

PLEASE HELP!

1 answer:

3 0

Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.

volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3

Now let's double it

volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3

So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3

3.5 x 8 = 28 m^3

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1 year ago

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Sauron [17]

Use PEMDAS to solve this so

4000(1.0005) 52 • 15 =
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4 0

3 years ago

What is the total amount for an investment of $1600 invested at 4.25% for 20 years and compounded continuously?

galina1969 [7]

Answer:

$3743.43

Step-by-step explanation:

The amount is given by the formula ...

A = Pe^(rt)

where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...

A = $1600·e^(0.0425·20) = $1600·e^0.85

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2 years ago

A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and

USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

$e=\sqrt{1-(\frac{b}{a})^2}$

$e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}$

Focus $=ae =\sqrt{7}$

Thus string should be nailed at 2.64 m from center

8 0

3 years ago

Find a6 for an arithmetic sequence where a1=3x+1 and d=2x+6

abruzzese [7]

Answer:

a₆ = 13x + 31

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

Here a₁ = 3x + 1 and d = 2x + 6 , then

a₆ = 3x + 1 + 5(2x + 6)

= 3x + 1 + 10x + 30

= 13x + 31

7 0

3 years ago

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