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When a solid is enlarged by a scale factor greater than 1, the volume of the new solid will be ___________ the volume of the original solid. When a solid is reduced by a scale factor between 0 and 1, the volume of the new solid will be _________ the volume of the original solid.

Mr. Reams has 7 cups of paint after filling 40 small plates with two ounces of liquid paint.

To calculate how many cups of paint Mr. Reams has left after filling 40 plates with two fluid ounces of paint, we must take into account the following information:

To find out how many cups are equal to 40 ounces, we must perform the following operation.

Based on the above, Mr. Reams used up 5 cups of paint, so he has 7 cups of paint left which equals 56 fluid ounces of paint.

12 - 5 = 7

Learn more about painting in: https://brainly.com/question/25795412

Answer:

5

Step-by-step explanation:

hope this helps!

Answer:

should have multiplied both x and 2 by 3.

3x + 6

Answer: reflection across y = x

Step-by-step explanation:

Answer:

Rotation of 180°

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠A  - Angle can also be named by the vertex holding the angle.

∠TAR

∠RAT

Answer:

57

Step-by-step explanation:

79-22=57

=====================================================

Explanation:

According to the Fundamental Theorem of Calculus, we can say

[tex]\displaystyle f(x) = \int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = \frac{d}{dx}\int_{0}^{x} f(t)dt\\\\\\\displaystyle f'(x) = f(x)\\\\[/tex]

Then think about a function in which its derivative is itself. The first thing that should come to mind is the exponential function [tex]f(x) = e^x[/tex]. There aren't any other functions that fit the description. The proof of this is lengthy and involves ODE (ordinary differential equations), so I'm not sure how far along in your calculus class you are.

Anyways,

[tex]f(x) = e^x\\\\\\f(\ln(5)) = e^{\ln(5)}\\\\\\f(\ln(5)) = 5\\\\\\[/tex]

The exponential base 'e' cancels out with the natural log.

We are given with a function and a condition of the respective function too, consider the given what we have ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(t)\: dt}[/tex]

By using the variable changing property we can change the Integrand and it will yield ;

[tex]{:\implies \quad \displaystyle \sf f(x)=\int_{0}^{x}f(x)\: dx}[/tex]

Now , let assume that

[tex]{:\implies \quad \displaystyle \sf \int f(x)dx=F(x)}[/tex]

Now, differentiating both sides wr.t.x (using Newton - Leibnitz's rule for Differentiating a function under the integral sign)

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\bigg\{F(x)\bigg|_{0}^{x}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}-\dfrac{d}{dx}\{F(0)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=\dfrac{d}{dx}\{F(x)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{df}{dx}=f(x)}[/tex]

So now, we have a function whose derivative is equal to the respective function, now if you differentiate both sides again you will get [tex]{\bf{f^{\prime \prime}(x)=f^{\prime}(x)}}[/tex] and similarly you can get [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] . And their is only one function which satisfies this condition for f(x) defined from [tex]{\mathbb{R}}[/tex] to [tex]{\mathbb{R}}[/tex] i.e the exponential function, you just can prove this fact easily by using the Maclaurin's series, so we now arrived on the conclusion that [tex]{\bf{f(x)=e^x}}[/tex] , so now [tex]{\bf{f\{ln(5)\}}}[/tex] will be [tex]{\bf{e^{ln(5)}}}[/tex] i.e hence on simplifying [tex]{\bf{f\{ln(5)\}=\boxed{\bf 5}}}[/tex]

This is the required answer

Note :- If you want to prove the fact that for [tex]{\bf f\: : \: \mathbb{R}\to \mathbb{R}}[/tex], such that [tex]{\bf{f^{n}(x)=f^{n-1}(x)}}[/tex] is [tex]{\bf{f(x)=e^x}}[/tex], you can prove it by using the Maclaurin's series, and if you want it's proof too, I will prefer you seeing once here ;

https://brainly.com/question/27031371

Answer:

No, they cannot both be right

Step-by-step explanation:

Firstly, we need to convert the ft in the real room to inches

Mathematically; 1 foot = 12 inches

So 15 ft will be 15 * 12 = 180 inches

18 ft will be 18 * 12 = 216 inches

Now let’s look at their drawings;

9 to 10.8

So 9 translated to 180 while 10.8 translated to 216

So the ratios here are;

9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure

This shows that only Ricky is right

Answer:

Hope this helps ya! :D

Step-by-step explanation:

Answer:

We can use a table of values or a graphing calc.

Step-by-step explanation:

We can simply plug the function into a graphing calc.

To use a table of values, we simply plug in x-values to get output y-values. Those would be our coordinates to graph, such as (-6, 0) and (0, -3). We would then just draw a line between them.

Answer:

c=11

Step-by-step explanation:

We have two points ( 6,5) and (7,c) and a slope of 6

The slope formula is

m = ( y2-y1)/(x2-x1)

6 = (c-5)/(7-6)

6 = (c-5)/1

6 = c-5

Add 5 to each side

6+5 = c-5+5

11 =c

Answer:

The average amount spent is $120

Step-by-step explanation:

To find the average, divide 600 by 5 to get 120.

Answer:

120

Step-by-step explanation:

Answer:

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Step-by-step explanation:

Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.

Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.

As a result:

∠1 = [tex]180-85=95[/tex]°

∠2 = [tex]180-45=135[/tex]°

∠3 = [tex]180-50=130[/tex]°

Answer:

The combined income each month should be $4,515.08. If it needs to be rounded, then it's just 4,515.

Step-by-step explanation:

All you needed to do was add.

Hope this helps you out

Answer:

  y = {-x, x < 2; x-4, 2 ≤ x < 3; 3x -10, 3 ≤ x < 5; x, 5 ≤ x}

Step-by-step explanation:

The absolute value function is a piecewise linear function that changes its definition when its argument changes sign.

Here, the three different absolute value expressions will change their behavior at three different values of x. That is, this equation will be described by a piecewise linear function in four (4) pieces.

For x < 2:

  y = (3 -x) +(2 -x) -(5 -x) = -x

For 2 ≤ x < 3:

  y = (3 -x) +(x -2) -(5 -x) = x -4

For 3 ≤ x < 5:

  y = (x -3) +(x -2) -(5 -x) = 3x -10

For 5 ≤ x:

  y = (x -3) +(x -2) -(x -5) = x

In summary, the equation can be written ...

  [tex]y=\begin{cases}-x,&\text{for }x < 2\\x-4,&\text{for }2\le x < 3\\3x-10,&\text{for }3\le x < 5\\x,&\text{for }5\le x\end{cases}[/tex]

_____

Additional comment

The absolute value function itself can be described by ...

  [tex]y=|x-a|=\begin{cases}a-x,&\text{for }x < a\\x-a,&\text{for }a\le x\end{cases}[/tex]

Answer:

I think option D is the correct answer

Answer:

4

Step-by-step explanation:

Remember that when solving for the median, Order the numbers from least to greatest. The middle number in the set is your median:

1 , 2 , 4 , 4, 6

4 is your answer.

~

Here we are given with some numbers:

• 1, 2, 4, 6, 4

We have to find the median. For this, we have to arrange the data in ascending or descending order. So, let's arrange it in required order.

➝ 1, 2, 4, 4, 6

As the total no. of numbers is 5, the median will be the middle term that is 4. Because when the number of terms is odd, then median is n/2 and when the number of terms is even, the median is n/2 + n + 1/2 /2 th term.

Correct answer is 4.

Carry On Learning [tex]![/tex]

Answer:

I AM GROOT I AM GROOT

Step-by-step explanation:

Answer:

No. of Permutations=3360.

Step-by-step explanation:

[tex]watch.some.anime[/tex]

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer:

the answer is easy.. I'm glad to help you out. it is 0.018+ 3.1 × 10^-3. just simply remove the bracket

Answer: She wants to reduce costs

Step-by-step explanation:

Answer:

She wants the construction to move more quickly

Step-by-step explanation:

this was the correct answer as shown on the quiz. the choices were changed

Answer:

The answer is x

Step-by-step explanation:
When "x" has a dot next to it, it pretty much means you have to multiply x with the value of the number after the x · . Which means x · 1 + = x.

Answer:

I don't know if this correct I got X but your equation doesn't make sense

Step-by-step explanation:

Answer:

$58.5

Step-by-step explanation:

Answer:

the surface area is 52

Step-by-step explanation:

A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52

Answer:

The last one is correct answer.

Hey there!

First, subtract 3 from both sides:

5x+3=23

5x=20

Now, divide both sides by 5:

x=4 (Answer)

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

x=4

Step-by-step explanation:

Separate the term x from one side of the equation to solve the problem.

5x+3=23

First, subtract by 3 from both sides.

[tex]\sf{5x+3-3=23-3}[/tex]

Solve.

[tex]\sf{23-3=20}[/tex]

Write down the problem.

5x=20

Then, you divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{20}{5} }[/tex]

Solve.

Divide.

[tex]\sf{20\div5=4}[/tex]

x=4

As a result, the correct answer is x=4.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Period:  [tex]\pi[/tex]

Midline:  y = -3

Amplitude:  4

Range:   [-7, 1]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]\pi[/tex]

Midline - center line

Range = -7 ≤ f(x) ≤ 1

[tex]\implies \sf midline =\dfrac{1-(-7)}{2}+(-7)=-3[/tex]

⇒ Midline:  y = -3

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 1

center line:  y = -3

Therefore, amplitude = 1 - (-3) = 4

Range - the set of all values that the function takes

-7 ≤ f(x) ≤ 1  →  [-7, 1]

#Period

Find the distance between two peaks

#Midline

Range of the pitch (Peak to trough distance)

Midline:-

[tex]\\ \tt\Rrightarrow \dfrac{1+7}{2}-7=4-7=-3[/tex]

#Amplitude

Distance:-

#Range

The pitch

Answer:

$17.50

Step-by-step explanation:

5/7 = 50/70

this means that 50 of the 70 lollipops were grape

0.35*50 = money earned from grape lollipops.

0.35*50 = 17.50

this means that Carmen earned $17.50 from the sale of the grape lollipops.

Hope this helps!

Answer:

12.2*1=12.2

12.2*0.45=5.49

5.49+12.2=17.69

Step-by-step explanation:

Answer:

15 then 1 then yes

Step-by-step explanation:

Rounding to the nearest whole number, determine whether Brian’s product is reasonable.

Round Brian’s average speed to

✔ 15

.

Round the activity time to

✔ 1

.

Was Brian’s product reasonable?

✔ yes

answer:

-6 is the answer I think