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3 years ago

Question 9 (1 point)

Mathematics

1 answer:

Lisa [10]3 years ago

3 0

Step-by-step explanation:

the answer is on the photo above

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How to factor <br> 49y^{2}-9x^{2}

lorasvet [3.4K]

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

49y² - 9x² = (7y)² - (3x)² {a = 7y ; b - 3x}

= (7y + 3x)(7y - 3x)

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3 years ago

Which of the following is a correct unit of weight: kilogram, newton, grams, slugs

AveGali [126]

Answer:

gram

Step-by-step explanation:

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3 years ago

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A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

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3 years ago

How many kids are there in the US

alexira [117]

Answer:

74.2 million children under the age of 18

Step-by-step explanation:

6 0

2 years ago

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Mrs Fernandez has a total of 156 red and blue roses. After selling the same number of red and blue roses, she had 1/3 of the num

hodyreva [135]

The number of blue roses will be 72. Then the number of red roses that she have at first is 84.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mrs Fernandez has a total of 156 red and blue roses.

After selling the same number of red and blue roses.

She had 1/3 of the number of red roses and 2/9 of the number of blue roses left.

Let x be the number of red rose and y be the number of blue roses.

Then the equation will be

x + y = 156 ...1

2x/3 = 7y/9

6x = 7y ...2

By solving the equations 1 and 2, we have

x = 84 and y = 72

Then the number of red roses that she have at first is 84.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

8 0

2 years ago