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3 years ago

What is the volume of a cylinder with a diameter equal to 6 and height equal to 8? Let pi = 3.14.

1 answer:

8 0

Volume of a cylinder is pi*(radius)^2* height. pi is 3.14 and radius is half of diameter which would be 3. height is 8. Thus volume of a cylinder in your case is pi*9*8 or 72*pi which is approximately 226.19

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Hence factorize completely the expression<br>9x³y² - 4xy⁴

Aloiza [94]

Step-by-step explanation:

$9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )$

4 0

2 years ago

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

7 0

3 years ago

A spider ate 25% more bugs this month then last month the spider ate 8 bugs last month

Ierofanga [76]

In this month spider ate 10 bugs.

Step-by-step explanation:

Given,

The spider ate 25% more bugs than last month.

It ate 8 bugs in last month.

To find the number of bugs it ate this month.

<u>Solution</u>

It ate more bugs = 8×25%

=8× $\frac{25}{100}$ = 2

In this month it ate = 8+2 = 10 bugs.

7 0

3 years ago

Read 2 more answers

Find the missing numerators in each of the following problems. a. 10⁄15 = ⁄60 b. ⁄108 = 4⁄9 c. 7⁄11 = ⁄121 d. ⁄144 = 2⁄6

Zinaida [17]

We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40

For  x / 108 = 4/9
x = (4/9) * (108)
x = 48

For  7/11 = x / 121
x = (7/11) * (121)
x = 77

For  x / 144 = 2/6
x = (2/6) * (144)
x = 48

6 0

3 years ago

Pleas help will mark best answer!! <3

natali 33 [55]

You have 4 walls, 2 with length 12 feet, 2 with length 15 feet and each of them has a height of 12 feet
so you sum all the lengths and then multiply it by the height to get the total area

total length=2*(12+15)
=2*(27)
=54
total area=total length*ceiling height
=54*12
=648 feet^2 to cover all walls with wallpaper

8 0

3 years ago