MATHEMATICS HIGH SCHOOL

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Evaluate from the inside out, that is

Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is

h(2) = 2² = 4 , then

g(4) = 3(4) + 2 = 12 + 2 = 14, then

f(14) = 2(14) - 1 = 28 - 1 = 27

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What is the formula to find the depth of a cube

Answers

you multiply height by width by length

Twins Lidia and Henry collected snow globes. When they left for college, they split the collection, such that Lidia got 75% of the snow globes. If Lidia got 460 more snow globes than did Henry, how many snow globes did Henry get?

Answers

Answer:

230

Step-by-step explanation:

Okay, so if Lidia got 75% means that Henry got 25%, right?

Then Lidia got 50% more than Henry did. So that 460 = 50%

So Henry got 25% which is 460/2 = 230 snow globes

How do you wtite three hundred nine million fifty-eight thousand three hundred four

Answers

like
309,580,304. So on a million, you have 9 nine numbers when it's a hundred so there.

309,058,304 because it just is this

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How fast was the pipe leaking in gallons per day? Round to the nearest tenth

Answers

Here's what you need to know in order to answer this:

   1 gallon = 128 fl oz
and
   1 day = 24 hours.

Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

(11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

   = (11 x 24 x 1 / 128) (fl-oz - hr - gal) / (hr - da - fl-oz)

   =     2.0625    gal/da

A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(r) relates the area of the cardboard piece, in square inches, to the radius r in inches. Which of the following shows a reasonable domain for f(r)?A) 7 < r < 14
B)154 < r < 616
C) all positive integers less than 7
D) all positive integers between 14 and 154

Question 35 (Multiple Choice Worth 1 points)

(04.02)

An expression is shown below:

square root of 18 plus square root of 2

Which statement is true about the expression?

A) It is rational and equal to 3.
B)It is rational and equal to 4.
C)It is irrational and equal to 3 multiplied by the square root of 2.
D) It is irrational and equal to 4 multiplied by the square root of 2.

Answers

Given:
circular cardboard with an area between 154 in² and 616 in²

Area of a circle = πr²
154 in² = 3.14 * r² 616 in² = 3.14 * r²
154 in² / 3.14 = r² 616 in² / 3.14 = r²
49 in² = r² 196 in² = r²
√49 in² = √r² √196 in² = √r²
7 = r 14 in = r

Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14

√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2

D) It is irrational and equal to 4 multiplied by the square root of 2.

20 POINTS ! PLUS BRAINLIEST ANSWERGive the sum of 2x -3 and 7x + 21
Find the measure of angle KMP
Find the measure of the complement of angle KMX

Photo is attached please give correct answers otherwise I will have to report the answer for false info and get my points back

Answers

Give the sum of 2x -3 and 7x + 21
2x-3+7x+21
Add like terms:
9x+18

Find the measure of angle KMP
<KMX + <XMY = 180 (because they are on a line)
2x-3+7x+21=180
9x+18=180
9x=162
x= 18
<XMY and <KMP are vertical angles so they have the same angle measure. So find <XMY with x.
<XMY= 7x+21
<XMY= 7(18)+21
<XMY= 126+21 = 147 degrees
<XMY = <KMP = 147 degrees

First find <KMX to find the complement of it.
<KMX=2x-3
<KMX=2(18)-3
<KMX=36-3
<KMX=33
The complement of an angle is 90 degrees subtracted by the angle itself because complementary angles add up to 90 degrees.
90-33=57
The complement would have 57 degrees.

Answers :
9x+18
147 degrees
57 degrees

Hope this helps :)

sum of 2x-3 and 7x+21
2x-3+7x+21
2x+7x-3+21
9x+18

since KY is a straight line, 2x-3+7x+21=180
9x+18=180
subtract 18
9x=162
divide 9
x=18
subsitute
2x-3
2(18)-3
36-3
33=KMX
other angle is
33+otherangle=180
otherangle=XMY=147
KMP=XMY=147

KMX=33
complement is what adds to 90
33+what=90
subtract 33
what=57
complement is 57 degrees

2x-3+7x+21=9x+18
KMP=147
complement of KMX=57

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