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2 years ago

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

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The graph of y = 2x2 is transformed into y = -2x2 + 3. Which of the following situations best represents the effect of transform

BigorU [14]

Answer:

b and c are right

Step-by-step explanation:

if its on odyssey ware that's the right ones

6 0

3 years ago

Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten

Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

$Q(t) = Q(0)e^{-rt}$

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that $Q(12) = 0.5Q(0)$

$Q(t) = Q(0)e^{-rt}$

$0.5Q(0) = Q(0)e^{-12r}$

$e^{-12r} = 0.5$

$\ln{e^{-12r}} = \ln{0.5}$

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{12}$

$r = 0.05776$

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

$Q(t) = Q(0)e^{-rt}$

$50 = 200e^{-0.05776t}$

$e^{-0.05776t} = 0.25$

$\ln{e^{-0.05776t}} = \ln{0.25}$

$-0.05776t = \ln{0.25}$

$0.05776t = -\ln{0.25}$

$t = -\frac{\ln{0.25}}{0.05776}$

$t = 24$

It would take 24 minutes for the element to decay to 50 grams

6 0

3 years ago

A survey showed that students were 2:3 in favour of the new team logo. In all, 780 people were surveyed, how many were in favour

defon

468 students were in favour of the new logo

4 0

2 years ago

Read 2 more answers

0.33333 rounded to the nearest tenth

Gala2k [10]

Answer:0.3

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Write a linear equation that represents the cost of buying t-shirts from Paula's printing. identify the meaning of each variable

g100num [7]

Answer:

Part 1) $y=x+21.5$

Part 2) $y=x+18$

Step-by-step explanation:

Part 1) Write a linear equation that represents the cost of buying t-shirts from Paula's printing.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,23.5) and (4,25.5)

substitute in the formula

$m=\frac{25.5-23.5}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,23.5)$

substitute

$y-23.5=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+23.5$

$y=x+21.5$

Part 2) Write a linear equation that represents the cost of buying t-shirts from Shantay's shirts.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,20) and (4,22)

substitute in the formula

$m=\frac{22-20}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,20)$

substitute

$y-20=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+20$

$y=x+18$

6 0

2 years ago