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3 years ago

Ive been stuck on this expression for a while now

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps you :)

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The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a

horrorfan [7]

Answer:

$3.8465 *10^7$ square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula $SA=4\pi r^2$ . Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

$SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000$

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. $3.8465 *10^7$

5 0

3 years ago

If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive ma

Lostsunrise [7]

After 1 hour, 360 g decays to 180 g.

After another hour (total 2 hours), 180 g decays to 90 g.

After another hour (total 3), 90 g decays to 45 g.

After one more (total 4), 45 g decays to 22.5 g.

More quickly, with a half-life of 1 hour, the 360 g of starting material decays to

(360 g) / 2⁴ = 22.5 g

In general, if the half-life is 1 hour, then after n hours, an initial amount A of this substance decays according to

A / 2ⁿ

5 0

3 years ago

Show your work: Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.

andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

$x = 0.45*160$

$x = 72.57$ kg

160 lbs = 72.57kg

4 0

3 years ago

Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number

CaHeK987 [17]

Answer:

n= 3

Step-by-step explanation:

3 (4 + n) = n + 18

you take 3x4=12

then 3x3=9 then you add 12 and 9 which would be in the ( )

12+9 = 21

then if you replace n =3 on other side and add it to 18 answer is 21

therefore both sides would equal 21 so n=3

3(4+3)=3+18

21=21

6 0

3 years ago

Read 2 more answers

Hi. I need help wih this question (see image). Please show workings.

Kipish [7]

Answer:

$\frac{dy}{dx}$ = 12x³ - 6x² - 7

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = 3 $x^{4}$ - 2x³ - 7x + 5, then

$\frac{dy}{dx}$ = 4.3 $x^{4-1}$ - 3.2 $x^{3-1}$ - 7 $x^{1-1}$ + 0

= 12x³ - 6x² - 7

4 0

3 years ago