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3 years ago

Can you help me with. This

Mathematics

1 answer:

aev [14]3 years ago

4 0

Answer:

The answer to your question is Volume = 36000π cm³ in terms of π

Volume = 113040 cm³

Step-by-step explanation:

Data

Volume of a ball = 4/3 πr³

radius = 30 cm

π = 3.14

Process

1.- Substitute the values given in the formula

Volume = 4/3 π(30)³

2.- Simplification

Volume = 4/3π(2700)

Volume = 36000π cm³ in terms of π or

Volume = 36000(3.14) = 113040 cm³

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

4 years ago

Aggregating prospective buyers into groups that have common needs and will respond similarly to a marketing action is referred t

Elena-2011 [213]

Answer: Market segmentation

Step-by-step explanation:

Market segmentation involves dividing people based on their consumption behavior and grouping those with similar consumption behavior together . Market segmentation helps to boost sales , increase profit and enables the business attend to the customers in a better way .

5 0

3 years ago

Read 2 more answers

If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side

Marrrta [24]

Answer:

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

3 0

3 years ago

Colleen can run 2 miles in 15 minutes. If she keeps us the same pace, how many minutes will it take to run 5 miles?

irinina [24]

15minutes / 2miles = 7.5 minutes to run a single mile.

7.5minutes * 5miles = 37.5minutes

37.5minutes to run 5 miles

7 0

3 years ago

Julian jogs 222 kilometers east, 444 kilometers north, and then 777 kilometers west. how far is julian from his starting positio

lawyer [7]

If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:

First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.

The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>

7 0

3 years ago