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3 years ago

How much gigameters is 93 million miles

Mathematics

1 answer:

lord [1]3 years ago

5 0

The answer should be 149.668992

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Need to show a 5 step problem on how to get the answer. Using x and y

ZanzabumX [31]

Answer: $5.64

<u>Step-by-step explanation:</u>

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify: 158 = 28x

Divide by 28: 5.64 = x

4 0

3 years ago

The radius of a right circular cylinder is increasing at the rate of 3 ft/sec, while the height is decreasing at the rate of 6 f

goblinko [34]

Answer:

$\frac{dV}{dt}=-450\pi ft^3/sec$

Step-by-step explanation:

Let's assume

radius of cylinder as 'r'

height of cylinder as 'h'

so, we have

$\frac{dr}{dt} =3ft/sec$

$\frac{dh}{dt} =-6ft/sec$

r=15ft

h=10ft

now, we can use volume of cylinder formula

$V=\pi r^2h$

we can find derivative with respect to t

$\frac{dV}{dt}=2\pi r h\times\frac{dr}{dt} +\pi r^2\times \frac{dh}{dt}$

now, we can plug values

$\frac{dV}{dt}=2\pi (15)(10)\times3 +\pi (15)^2\times -6$

now, we can simplify it

$\frac{dV}{dt}=-450\pi ft^3/sec$

6 0

3 years ago

F a number n is subtracted from 18, the result is four less than n. What is the value of n?

juin [17]

18 - n = n - 4
18 + 4 = n + n
22 = 2n
22/2 = n
11 = n <==

3 0

3 years ago

Read 2 more answers

Which graph represents the function f(x) = -|x+3|?

Fofino [41]

The last one is correct

5 0

3 years ago

Read 2 more answers

Liz deposited money into an account in which interest is compounded quarterly at a rate of 3.2%. How much did she deposit if the

lara [203]

Answer:

She deposited $4124.998$ dollars

Step-by-step explanation:

Given -

Rate of interest $= 3.2$ %

Rate of interest compounded quarterly

Time period $= 5$ years

Amount after $5$ years $= 4837.65$ dollars

We shall use the following equation for solving this question

$A = P (1 + r)^t$

Where A is the final amount after time period t

P is the principal amount

r is the rate of interest

and t is the time period

Substituting the given values in above equation, we get -

$4837.65 = P (1 +\frac{3.2}{4*100})^{4 *5}\\4837.65 = P (1 +0.008)^{20}\\P = \frac{4837.65}{1.7276} \\P = 4124.998$

She deposited $4124.998$ dollars

4 0

3 years ago