If h(x) = 5x − 3 and j(x) = −2x, solve h[j(2)] and select the correct answer below.17
23
−17
−23

Answers

Answer 1

Answer: sub 2 for x in j(x) and evalueate
then sub that result for x in h(x)

j(2)=-2(2)
j(2)=-4

now sub-4 for x in h(x)

h(-4)=5(-4)-3
h(-4)=-20-3
h(-4)=-23

answer is -23

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When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

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Answer:

9,670

Step-by-step explanation:

8,219.5 ÷ 85% (0.85) = 9,670

Ratio of two volume cylinders (Geometry)

If two similar cylinders have heights of 75cm and 25cm. What is the
ratio of the volume of the larger cylinder to the volume of the smaller
cylinder? Can someone please explain in detail. Thank you!

Answers

The ratio of the lengths is 75 : 25 or 3 : 1

The ratio of and area is the square of this: ie 9 : 1 or 75^2 : 25^2
(In working out the area the radius is squared)

The ratio of the volumes is the cube of this: ie 27 : 1 or 75^3 : 25^3
(In working out the volume the radius is cubed)

Hopefully this explains it

V1 = π* ( r1)^2 * 75;
V2 = π* ( r2)^2 * 25;

V1/V2 = (r1/r2)^2 * 3.

Write 850 as the product of its prime factor

Answers

2*5*5*17=850

Is this what you were asking for?

The Braves played a 9 inning baseball game. For every inning they scored 4 runs, and for every 2 runs they scored, they had 5 hits. How many hits did they have during the game?

Answers

Answer: $90\ hits$

Step-by-step explanation:

Let be "r" the total number of runs they scored during the game and "h" the total number of hits they had during the game.

You know that they play a total of 9 innings and they scored 4 runs in every inning.

This means that you can find the total number of runs they scored in 9 innings by multiplying 4 runs by 9. Then:

$r=(4)(9)\n\nr=36$

Knowing that they scored a total of 36 runs, and knowing that for every 2 runs they had 5 hits, you get that the total number of hits they had during the game is:

$h=((36)(5))/((2))\n\nh=90$

What the fraction of a circle of 30 degree?

Answers

The required fraction of a circle of 30 degree is $(1)/(12)$

A circle consists of 360°, so we can write the fraction.

Which can be simplified to by dividing the numerator and denominator by 30degree.

Fraction circles are a set of nine circles of various colors.

Each circle is broken into equal fractional parts and uses the same-sized whole. The circles included are one whole as well as circles divided into halves.

Since a circle measures 360 degrees, $(1)/(360)$ of it would be one degree, a very angle.

Fraction of a circle of 30 degree = Fraction of circle ÷ Total area of circle

Fraction of a circle of 30 degree = $(30)/(360)$

Fraction of a circle of 30 degree = $(1)/(12)$

Hence, The required fraction of a circle of 30 degree is $(1)/(12)$ .

For more information about Fraction of Circle click the link given below.

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The fraction of 30 of a circle is 1/12

Write 1 and 1/3 as an improper fraction

Answers

The improperfraction of 1(1/3) is 4/3.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1 and 1/3

An improperfraction means the numerator is greater than the denominator.

So,

1 and 1/3

= 1(1/3)

= (3 x 1 + 1) / 3

= 4/3

4 > 3 so it is an improperfraction.

Thus,

The improperfraction of 1(1/3) is 4/3.

Learn more about fractions here:

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Answer:

4/3

Step-by-step explanation:

to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.

Thus,

Numerator = 3 x 1 +1 = 4

Denominator = 3

Fraction = 4/3

Hope this helps.

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a piggy bank contained $14.55 in quarters dimes and nickels if there were three more than twice as many dimes as nickels and three less than three times as many quarters as nickels how many of each kind of coin was in the piggy bank