Find the quotient. 12a^3 p^4 ÷ -2a^2 p -6a^3 p^5 -24ap^3 -6ap^3 6a^5 p^3

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour

Deffense [45]

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

$\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}$

Apply cross multiplication

$x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours$

Theo’s sister to paint the fence in 12 hours.

8 0

3 years ago

Find the conjugate and product of 2-i5

WITCHER [35]

Answer: $2+i5,\ 29$

Step-by-step explanation:

Given

Complex number is $2-i5$

Its conjugate is obtained by changing the sign of the original number i.e. $2+i5$

The product of the two numbers is

$\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29$

3 0

3 years ago

A baker uses 1,232 ounces of flour daily. The baker's recipe for a loaf of bread calls for 12 ounces of flour. How many full loa

VashaNatasha [74]

Answer:

102 loafs of bread

Step-by-step explanation:

1232 ÷ 12 = 102.6666666666

102 is the answer

5 0

3 years ago

Read 2 more answers

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that $P(A) = 0.45$

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that $P(B|A) = 0.8$

What is the probability that the land has oil and the test predicts it?

This is $P(A \cap B)$ . So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36$

0.36 = 36% probability that the land has oil and the test predicts it

5 0

3 years ago

Hurry Please! :)

Sladkaya [172]

Area = b*h and in some cases * 2 so you need to do this, 64*52 + 40*28= 4448 yd2

8 0

3 years ago

Read 2 more answers