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3 years ago

Evaluate 3(a + b + c) 2 for a = 2, b = 3, and c = 4.

Mathematics

2 answers:

garri49 [273]3 years ago

6 0

Answer:

Step-by-step explanation:

Given:

$3(a + b + c) 2$

Input the numbers provided into the equation

3(2 + 3 + 4)2

Add all of the numbers inside the parentheses

3(9)2

Multiply

3 * 2 = 6

6 * 9 = 54

zlopas [31]3 years ago

5 0

Hey there! :)

3(a + b + c)2 ; when a = 2, b = 3, c = 4

In order to evaluate this, we simply need to plug everything in then simplify/

3(2 + 3 + 4)2

Simplify everything inside the parenthesis first.

3(9)2

Simplify.

27 × 2

Simplify.

<u>54 is our final answer.</u>

<u></u>

Hope this helped! :)

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What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −12?

Lerok [7]

$a_1=4;\ a_2=-12\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{-12}{4}=-3$

The formula of a geometric sequence:

$a_n=a_1\cdot r^{n-1}$

substitute

$a_n=4\cdot(-3)^{n-1}$

$The\ domain:\ \text{all integers where}\ n\geq1$

Answer: $\boxed{a_n=4(-3)^{n-1};\ \text{all integers where}\ n\geq1}$

4 0

3 years ago

Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which

Tanzania [10]

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = $\frac{0.7}{2}$ x 100%

= 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

$\frac{1.95}{3.25}$ x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

7 0

3 years ago

Find the area of each polygon

stepladder [879]

I don't understand please be specific

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3 years ago

A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an

qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

S = 225[{(2.73)}/0.0055][1.0055]

S = 225[496.36][1.0055]

S = $112295.2

7 0

3 years ago

Plz help me I am stuck on this question

tigry1 [53]

The volume of a cylinder is the area of the circular face times the length of the cylinder.

the area of a circular face is
$A=\pi r^2 = \pi\frac{d^2}{4}$

hence the volume is
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the Length "L" is 36 in
the diameter "d" is 3 in

6 0

3 years ago