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2 years ago

The expression (3x^7)^4 is equivalent to c^n what is the value of c

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

n= 21

c= 3x

Step-by-step explanation:

The expression is given as;

(3x⁷)⁴

Apply the brackets law of indices which states that :

If a term with a power is itself raised to a power then the powers are multiplied together

(xᵃ)ᵇ = xᵃˣᵇ

Applying the same;

(3x⁷)⁴ = 3x²¹

If 3x²¹ = c^n

Then n = 21

and

c= 3x

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2.When I walked into King Soopers yesterday, I noticed that the Colorado Rockies t-shirts had a sign reading “25% off sale!”. If

daser333 [38]

Given:

The discount is 25%.

The selling price of the shirt after the sale is $20.99.

To find:

The selling price of the shirt before the sl;e

Explanation:

Let the old price be x.

The equation can be framed as follows,

$\begin{gathered} (\frac{100-25}{100})\times x=20.99 \\ \frac{75}{100}\times x=20.99 \\ x=20.99\times\frac{100}{75} \\ x=27.986 \\ x\approx27.99 \end{gathered}$

Final answer:

The selling price of the shirt before the sale is $27.99.

4 0

6 months ago

Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?

andre [41]

Total amount paid by Rita is $98.79

Step-by-step explanation:

Step 1: Given sales tax = 11% and cost of jeans = $89
Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
Step 3: Calculate the total amount

Total Amount = 89 + 9.79 = $98.79

5 0

3 years ago

A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nea

lianna [129]

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

$V=\pi r^2h$

$V=\pi 5^2*14$

$V=\pi 25*14$

$V=\pi 350$

$V=3.14*350$

$V=1099$

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2 years ago

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3 years ago

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2 years ago