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zheka24 [161]
3 years ago
9

The volume v, measured in mm3, of an object can be calculated by v=4πr353, where r is the radius of the object. if the radius is

243 mm, find the volume of the object. round your answer to the nearest whole number. use 3.14 for π.
Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Since the volume of an object = \frac{4}{3}\times \Pi r^{3}

Volume= \frac{4}{3}\times (3.14) (243)^{3}

Volume= 60074091 mm^{3}

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Which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)
Dvinal [7]

Answer:

Option C

Step-by-step explanation:

Given inequality is,

5x + 38 ≤ 4(2 - 5x)

5x + 38 ≤ 8 - 20x [Distributive property]

5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]

25x + 38 ≤ 8

(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]

25x ≤ -30

\frac{25x}{25}\leq -\frac{30}{25} [Dividing by 25 on both the sides of the inequality]

x ≤ 1.2

Therefore, Option (C) will be the correct graph.

7 0
3 years ago
A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face up on the cube 33 times. What is the experimental
Bond [772]
Number of times rolled = 300 
Number of times landed with 6 = 33
<span>Experimental probability = 33/300 = 11/100
</span>
Answer: 11/100
8 0
3 years ago
If 31,000 citizens died in an automobile accidents in 2015. how many died each hour
stira [4]
Work out the number of hours in  1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54 
6 0
3 years ago
Read 2 more answers
Will choose brainliest! Please help! (This is Khan Academy)
NeTakaya

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

8 0
3 years ago
The Nut Shoppe sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10
Anton [14]

Answer: He sold 10 pounds of cashews .

Step-by-step explanation:

Since we have given that

Selling price of walnuts = $4.00 a pound

Selling price of cashews = $7.00 a pound

Number of pounds of walnuts = 10

Let number of pounds of cashew be x

Total price at which he sold a mixture = $5.50

According to question,

10\times 4+x\times 7=(10+x)\times 5.50\\\\40+7x=55+5.5x\\\\7x-5.5x=55-40\\\\1.5x=15\\\\x=\frac{15}{1.5}\\\\x=10

Hence, he sold 10 pounds of cashews .

7 0
3 years ago
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