Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?

Answer:

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3

Answer:

try 130.4, I got my answer by subtracting 47.6 with 180. How'd I get 180? the angles are obtuse so that means it'll add up to 180. Thus the answer is 130.4

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

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Answer:

Use slope formula

Step-by-step explanation:

To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

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x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

Answer:

[tex]-0.375[/tex]

For more help, take a look at this chart.

Answer:

[tex]y=-\frac{7}{4}x-2[/tex]

Step-by-step explanation:

There is enough information to create an equation in point - slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope of -7/4 and the point of (-4,5).

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]

Convert to slope intercept:

[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]

Hope this helps.

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

What you do is you take the denominator and you divide it into the numerator.

Answer:

90*

Step-by-step explanation:

because a 90 degree rotation is to the right on its side

Answer:

90 degees is right

Step-by-step explanation:

I checked

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

The decimal equivalent to 9 1/3 is

SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333

Final answer in decimal form: 9.33

Therefore, the answer is C

The equivalent from of [tex]9\frac{1}{3}[/tex]   ⇒ 9.

The given mixed fraction is,

[tex]9\frac{1}{3}[/tex]

Now to convert it into decimal form

First of all convert it into simple fraction

So numerator of [tex]9\frac{1}{3}[/tex] is  formed by  multiplying 3 with 9 then add 1

and denominator remains same as 3

Therefore,

Simple fraction be

[tex]9\frac{1}{3}[/tex]  ⇒ (9x3 + 1)/3

     = 28/3

Now divide 28 by 3

we get,

9.333333

Here,

It is non terminating number

And 3 is repeating after decimal

therefore,

The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]

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Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

Answer:

k

Step-by-step explanation:

Answer:

12, 160, 380

Step-by-step explanation:

Answer:

all of them are perfect square numbers since they can all be divided by four.

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

Answer:

A: D and E are similar but not congruent.

Step-by-step explanation:

hope this help