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4 years ago

What is the simplified expression for (2a2b)4

Mathematics

1 answer:

Pie4 years ago

3 0

The simplified expression is 8a8b.

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how to find the volume of a cylinder with a radius of 8 and a height of 23 rounding to the 10th place

alisha [4.7K]

Answer:

V≈4624.42

Step-by-step explanation:

4 0

3 years ago

Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?

vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

8 0

3 years ago

An investment services company experienced dramatic growth in the last two decades. The following models for the company's reven

zlopas [31]

Answer: a) 138.32 and b) 35 years approx.

Step-by-step explanation:

Since we have given that

$R(t)=21.4e^{0.13t}\\\\C(t)=18.6e^{0.13t}$

So, Profit is given by

$Profit=R(t)-C(t)\\\\Profit=21.4e^{0.13t}-18.6e^{0.13t}\\\\Profit=e^{0.13t}(21.4-18.6)\\\\Profit=2.8e^{0.13t}$

Difference in years of 1990 and 2020=30

So, Profit becomes :

$P(30)=2.8e^{0.13\times 30}\\\\P(30)=2.8\times 49.40\\\\P(30)=138.32$

(b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole number.) years after 1990.

So, profit doubles , we get :

$138.32\times 2=2.8e^{0.13t}\\\\276.65=2.8e^{0.13t}\\\\\dfrac{276.65}{2.8}=e^{0.13t}\\\\98.80=e^[0.13t}\\\\\ln 98.80=0.13t\\\\4.593=0.13t\\\\\dfrac{4..593}{0.13}=t\\\\35.33=t$

Hence, a) 138.32 and b) 35 years approx.

6 0

3 years ago

What are the domain and range of x= -2?

nikdorinn [45]

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

3 0

3 years ago

Step by step If C(m)=0.50m + 30 represents the cost of renting a car, how many miles were driven if the cost is $130

Likurg_2 [28]

Answer:

200 miles were driven

Step-by-step explanation:

We know that $C (m) = 0.50m + 30$ represents the cost of renting a car

Where m represents the number of miles driven

If we know that the cost was $ 130 then we can equal C(m) to 130 and solve for m.

$C(m) =0.50m + 30=130$

$0.50m + 30=130$

$0.50m=130-30$

$0.50m=100$

$m=\frac{100}{0.50}$

$m=200\ miles$

7 0

4 years ago