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SSSSS [86.1K]
3 years ago
7

Please do this ASAP! Due tomorrow. 9:12pm here.

Mathematics
1 answer:
Mumz [18]3 years ago
8 0

Answer:

compare (1/2)^3 is greater than (a/b)^2

Step-by-step explanation:

1/2*1/2*1/2= 0.125 or 1/8

1/4 * 1/4=0.0625 or 1/16

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Calculate the volume of each of the following prisms.
Mariana [72]

Answer:

The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!

3 0
2 years ago
Solve the inequality. 18 > 12 + x
aleksley [76]
6>x take 12 from both sides
5 0
3 years ago
7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a
MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this problem, we ahve that:

T = 38200, P = 7500, I = 0.075

So

First we find how much we have to earn in interest.

38200 = E + 7500.

E = 38200 - 7500

E = 30700

How much time to earn this interest?

E = P*I*t

30700 = 7500*0.075*t

t = \frac{30700}{7500*0.075}

t = 54.6

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0
3 years ago
Read 2 more answers
Multiply 60 times 7 410, 420, 67, or 430?
DochEvi [55]

Answer:

420

Step-by-step explanation:

4 0
2 years ago
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
3 years ago
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