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2 years ago

Find the product of the following

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

4 0

Answer:

$(a + 9) {}^{2}$

$(6x + 2y) {}^{2}$

$( \frac{4}{5} p + q) {}^{2}$

$( \frac{2}{3} p + \frac{3}{5} q) {}^{2}$

$(y {}^{2} + 3) {}^{2}$

$( \frac{7}{9b {}^{2} } + 2) {}^{2}$

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The answer is irrational

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3 years ago

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Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best

Veseljchak [2.6K]

Answer:

The Correct Answer Is C

Step-by-step explanation:

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3 years ago

Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

nydimaria [60]

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

$50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10$

i.e. For 10 sessions, the cost of the two plans the same.

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3 years ago

Reggie Means invested part of $31,000 in municipal bonds that earn 7.5% annual simple interest and the remainder of the money in

insens350 [35]

Answer:

Principal Invested in Municipal Bonds is $16,000

Principal Invested in Corporate Bonds is $15,000

Step-by-step explanation:

If;

Principal Invested in municipal bonds = a

Principal Invested in corporate bonds = b

then we have;

a + b = $31,000 --------------------------------Equation 1

0.075a + 0.085b = $2,475 ---------------Equation 2

From equation 1 we have;

a = 31,000 - b

By putting the values of a in Equation 2 we get;

0.075 (31,000 - b) + 0.085b = 2,475

2,325 - 0.075b + 0.085b = 2,475

0.01b = 150

b = $15,000

By putting the values of b in equation 1 we get;

a = $16,000

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3 years ago

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

Liula [17]

Answer:

Adult required in the case of “a” 28 and in the case of “b” the adult requirement is 19.

Step-by-step explanation:

(a) The percentage of adult that support the change is 20 percent.

Now calculate the number of adult required.

Given p = 0.20

Use the below condition:

$np(1 – p) \geq 10 \\n \times 0.20 (1 – 0.20) = 10 \\n = 63 round off$

Since 35 adults are already there so required adults are 63 -35 = 28

(b) The percentage of adult that support the change is 25 percent.

Now calculate the number of adult required.

Given p = 0.25

Use the below condition:

$np(1 – p) \geq 10 \\n \times 0.25 (1 – 0.25) = 10 \\n = 54 (round off)$

Since 35 adults are already there so required adults are 54 -35 = 19 .

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3 years ago