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2 years ago

Help ASAP please

Mathematics

1 answer:

Nataly [62]2 years ago

7 0

Answer:

a) volume = 321.55 in³

Step-by-step explanation:

volume = 4/3πr³ = 4/3(3.14)4.25³) = 321.55 in³

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Add and Subtract Rational Expressions with a Common Denominator

Sladkaya [172]

Answer:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}$

Step-by-step explanation:

Simplifying Rational Expressions

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$

Operating on the numerators:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}$

Removing parentheses:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}$

Simplifying:

$\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}$

The expression cannot be further simplified.

7 0

2 years ago

Solve -17-2(×-4)-5(4×-7)

mina [271]

26-22x is the correct answer

8 0

3 years ago

The temperature changed from 7°f at 6pm to -5°f at midnight. What was the difference between the high an low temperatures? Whats

Ronch [10]

Answer:

Difference between high and low temperatures: 12°F

Average change in temperature per hour: 2°F

Step-by-step explanation:

The difference between high and low temperatures was: 7 - (-5) = 12 (°F)

Midnight is 12am, so 6pm to midnight is 6 hours.

The average change in temperature per hour is: 12 / 6 = 2 (°F)

7 0

3 years ago

Omar has a new credit card. He earns 300300300 reward points for every 100100100 dollars he spends. If omar earned 180018001800

jeka94

Omar spent 600 dollars for earning 1800 reward points.

Explanation

Omar earns 300 reward points for every 100 dollars he spends.

Suppose, he spent $x$ dollar for 1800 reward points.

Now according to the ratio of "amount of money spent" and "reward points" , the equation will be......

$\frac{x}{1800}=\frac{100}{300}\\ \\ 300x=180000\\ \\ x=\frac{180000}{300}=600$

Thus, Omar spent 600 dollars for earning 1800 reward points.

5 0

2 years ago

Read 2 more answers

an aircraft carrier leads port heading due west at 28 knots. A helicopter is 175 nautical miles from the carrier at an angle of

emmainna [20.7K]

Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.

8 0

2 years ago