Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))

Answer:

105°

Step-by-step explanation:

The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°

Answer:

co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1

Step-by-step explanation:

Answer:

g=r/1+5c3

Step-by-step explanation:

............ ........

Answer:

The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).

Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.

A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).

B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).

C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).

D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).

Answer:

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

Answer:

C

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

3 1/3 divided 10 = 1/3

Answer:

$11,357 is withheld for taxes

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area: 28.26

Circumference: 12.56

Answer:

n = -8

Step-by-step explanation:

[tex]- 5n - 2 = 38[/tex]

Collect like terms and simplify

[tex]-5n = 38+2\\\\-5n = 40[/tex]

Divide both sides of the equation by -5

[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]

Simplify

[tex]n = -8[/tex]

Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Answer:

35 degrees

Step-by-step explanation:

180-95=85

180-(85+60)=35

Answer:

bruhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

-5 > x

Step-by-step explanation:

-80>16x

Divide each side by 16

-80/16>16x/16

-5 > x

Answer:

21n=

n-number and since its a number (n) and 21 you would put 21n

Answer:

[tex]\boxed {\tt 21n}[/tex]

Step-by-step explanation:

We want to write the product of a number and 21 as an algebraic expression.  Let's define "a number" as the variable n.

We know that "product" means multiplication. The product of a number, n, and 21 is equal to multiplying n and 21.

[tex]n*21[/tex]

21 and n can be flipped due to the commutative property of multiplication.

[tex]21*n[/tex]

[tex]21n[/tex]

The product of a number and 21 is 21n.

Answer:

.525

Step-by-step explanation:

Five hundred twenty-five thousandths is a decimal number will be 0.525.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.

The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-

Five hundred twenty-five thousandths = 0.525

Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.

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[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]

[tex]\hrulefill[/tex]

To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.

[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]

To find how far the car will travel in a certain time, just multiply the speed by the time.

[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]

[tex]\large\boxed{3\ \text{km}}[/tex]

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

The cost of the dryer is $475 and the cost of the washer is $382.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

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Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Step-by-step explanation:

A really simple conditional statement can be written as:

If P, then Q

Where P is the hypothesis, and Q is the conclusion.

In this case, we know that:

"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"

This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66

Then we can write a conditional statement:

If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.

Answer:

ancient greek invented math

Answer:

Option (A)

Option (D)

Step-by-step explanation:

From the graph attached,

Values of function have been plotted on y-axis for every input value of 'x' on x-axis.

Graph clearly states that the function is positive (positive y-values or y > 0) in the two intervals,

-5 < x < 0 and 3.5 < x < 5

Therefore, option (A) and Option (D) will be the correct options.

Answer:

  (x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

Use the first equation to substitute for y in the second:

  2x +3(-2x -9) = -3

  2x -6x -27 = -3

  -4x = 24 . . . . . . . . . add 27, simplify

  x = -6 . . . . . . . . . . . divide by -4

  y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

Precision is how detailed a measurement is.

7.033 has 3 digits after the decimal point

6.91 has 2 digits after the decimal point

7.1 has a single digit after the decimal point.

Since 7.033 has the most digits after the decimal point, it is more precise than the others.

Answer:

0.072

Step-by-step explanation:

0.09 × 0.08

Here's the diagram/ explanation

Answer:

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

x = 16

Hence the value of x is 16°

Answer:

a. 0.07

b. 0.17

c. 0.333

d. 0.417

Answer:

regular number; base

Step-by-step explanation:

Answer:

1. Multiplication

2. 8

3. 8^3=512