Which of the following is the algebraic expression that best describes the height y, if x is the width?

Find the area of the circle if r = 5 meters. Leave the answer in terms of π.

olya-2409 [2.1K]

Hope this will help u...

4 0

2 years ago

Which math pattern was used in the Iraq war to find out the position of the bomb landing?

Monica [59]

Answer:

It was the The Large Cardinal Project.

Step-by-step explanation:

They used this form of math to calculate the precise place the bomb would land, which was the town where the dictator lived

3 0

3 years ago

Read 2 more answers

If a company issues bonus shares, what is the most likely effect on its debt-equity ratio?

Lena [83]

Answer:

If a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.

Step-by-step explanation:

Free additional shares offered to existing shareholders is known as a bonus issue.

Bonus issues are given to shareholders when companies are short of cash and shareholders expect a regular income. It may also be issued to restructure company reserves.

However, issuing bonus shares does not involve cash flow. It increases the company’s share capital but not its net assets.

Since bonus issues only increase the number of shares a shareholder is holding but not the ratio/percentage of holding. Thus, if a company issues bonus shares, there will be no increase in the capital and the debt-equity ratio remains unchanged.

7 0

3 years ago

Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12

barxatty [35]

Answer:

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

Solution:

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7 ------(1)

Also given that f(2) = 12.

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,

f(3) = f(3-1) – 7

= f(2) – 7

= 12 – 7

= 5

Using given recursive rule and calculated value of f(3) calculating f(4)

Substituting x = 4,

f(4) = f(4-1) – 7

= f(3) – 7

= 5– 7

= -2

Using given recursive rule and calculated value of f(4) calculating f(5)

Substituting x = 5,

f(5) = f(5-1) – 7

= f(4) – 7

= -2– 7

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0

3 years ago

How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

3 0

2 years ago