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3 years ago

Compute the volume of the tank. 75 cm 3 100 cm 3 250 cm 3

Mathematics

1 answer:

zmey [24]3 years ago

7 0

It's 250 cm 3 because to find the volume of the tank your need to multiply height × Length × Width
10×5×5.

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If a pair of standard dice are rolled, what is the probability that one of the dice will be a 3 and the other a 4?

eimsori [14]

Answer:

0.055

Step-by-step explanation:

file is attached with explanation

7 0

3 years ago

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

The recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

Solution:

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

Let us find the difference between terms

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The nth term of arithmetic sequence is given by:

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

Thus the recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ......

8 0

3 years ago

Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants i

Lynna [10]

Answer:

Step-by-step explanation:

For this problem, you would use the GCF

Find the GCF of 45, 81, 63

GCF(45, 81, 63) = 9

45 = 9 * 5

81 = 9 *9

63= 9 * 7

Since 5, 9, 7 have no common factors, the GCF has to be 9.

This means that the greatest number of plants he can put in each row is 9.

The number of rows he uses for each plant will (obviously) vary.

4 0

3 years ago

What are the new vertices of triangle ABC if the triangle is translated three units to the right and then three units downward?

DerKrebs [107]

Answer:

A=(0,-1), B=(5,0) and C=(-2,-6)

Step-by-step explanation:

If the translation is 3 units to the right then to every x coordinate we add three and to the y coordinate we subtract 3.

4 0

3 years ago

The value of a house has increased by $4,200 in the past year. By what percent has the value increased if the value last year wa

IgorC [24]

Answer:

The value has increased by 8 percent.

Step-by-step explanation:

Given:

The value of a house has increased by $4,200 in the past year.

The value last year was $52,500.

Now, to find the percent increased.

Value of house = $52,500.

Value of house last year increased by = $4200.

So, to get the percent increased:

$\frac{Value\ of\ house\ last\ year\ increased\ by} {Value\ of\ house}\times 100.$

$=\frac{4200}{52500} \times 100$

$=0.08\times 100$

$=8\ percent.$

Therefore, the value has increased by 8 percent.

6 0

2 years ago