The number 21 is decreased to 15. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

The functions f(x) = √16^x and g(x) = ∛64^x increase at the same rate as x increases.

The functions f(x) = √16ˣ and g(x) = ∛64ˣ are related in the way they grow or decrease as x increases. Let's analyze each function:

For the function f(x) = √16ˣ, as x increases, the value of f(x) also increases. This is because when x increases, 16^x becomes larger, and taking the square root of a larger number results in a larger value for f(x).

For the function g(x) = ∛64ˣ, the same logic applies. As x increases, the value of g(x) also increases. This is because when x increases, 64ˣ becomes larger, and taking the cube root of a larger number results in a larger value for g(x).

Therefore, both functions f(x) and g(x) increase at the same rate as x increases. None of the given options accurately describe the relationship between the graphs of f(x) and g(x).

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Answer:

A.

Step-by-step explanation:

Answer:

2.2360679775 or simply put 2.2

Step-by-step explanation:

The square root of 5 will not be a perfect square.

Answer:

y = -2x - 18

Step-by-step explanation:

-4 = -2[-7] + b

14

-18 = b

y = -2x - 18

↑

rate of change [slope]

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:

½ → -2

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Answer:

A. -7 - 7 = -14

B. 7 - 7 = 0

C. -7 - (-7) = 0

D. 7 - (-7) = 14

Answer:

-7 - 7 = -14  ; Two negatives equal a positive

7 - 7 = 0  ;

-7 - (-7) = 0

7 - (-7) = 14 two negatives equal a positive

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Answer:

-1/3 (can u plz give me the brainliest answer???)

Step-by-step explanation:

change in y over the change in x. (or rise over run).

-1/3

Have a nice day!!!!!!!!!!!

KA

Answer:

-1/3

Step-by-step explanation:

You would use rise over run:

4-3/2-5

That equals -1/3.

Final answer:

To find the width of a rectangular poster with a perimeter of 124 inches and a length that is 10 inches longer than the width, set up the perimeter equation, solve for the width, and find that the width is 26 inches.

Explanation:

The student asks to find the width of a rectangular poster where the length is 10 inches longer than the width, and the perimeter is 124 inches.

Firstly, let's denote the width of the poster as w inches. Therefore, the length is w + 10 inches. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

We can set up the equation for the given perimeter:

2(w + 10) + 2w = 124

Simplifying the equation:

2w + 20 + 2w = 124

4w + 20 = 124

4w = 104

w = 26

The width of the poster is 26 inches.

Answer:

the answer is 7 hope I could

Answer: 7 hours.

Step-by-step explanation:

Take the original amount (470) and subtract the $50 consulting fee. then divide the remaining amount by 60, as that is what she charges per hour. See the work done here:

470 - 50 = 420

420/60 = 7

Answer:

49 million if I'm not mistaken.

Step-by-step explanation:

Answer:

-10 * 3/2= -30/2 = -15 is the solution

Answer:

-15

Step-by-step explanation:

-10/ 2/3

-10/1 / 2/3

-10/1 x 3/2

-30/2

=-15

Answer:

negative

Step-by-step explanation:

that would be a negative corrolation

Answer:

20x - 4

Step-by-step explanation:

4 less than 20 times some number

Let's break it up.

4 less than = -4

20 times some number = 20x (x is representing "some number")

So, let's put that together.

4 less than 20 times some number

20x - 4

4p-2

Replace the P with the 8

4(8)-2

4*8=32

32-2=30

your answer would be 30 cause 4 times 8 is 32 then 32 - 2 = 30

Answer:

m=8

Step-by-step explanation:

-88=-3(4m+5)-(1-3m)

-88=-12m-15-(1-3m)   <- Distributive Property

-88=-12m-15-1+3m  <- Open () if there is a negative negative the symbol equals positive

-88=-9m-16    <- Simplify

0=-9m+72   <- Add 88 to both sides

9m = 72 <- Add 9m to both sides

9m = 72

/9      /9

m=8

Answer:

Step-by-step explanation:

Answer:

Less

Step-by-step explanation:

5 divided by 6 is less than 1.

Answer: 0.83...

Answer:

Each student get less than 1 cup of broth.

Step-by-step explanation:

We have been given that a  teacher divides the 5 cups of broth among 6 students. We are asked to determine the amount that each student will get would be more than or less than 1 cup of broth.

Since there are 5 cups of broth, so we can distribute them to 5 students each having one cup of broth.

As the teacher divides the 5 cups of broth among 6 students, therefore each student will get less than one cup that is [tex]\frac{5}{6}[/tex] of cup.

Answer:

Step-by-step explanation:

[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\Domain:\\\\x+1\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-x-2\neq0\\\\(1)\ x+1\neq0\qquad\text{subtract 1 from both sides}\\x\neq-1\\\\(2)\ x-2\neq0\qquad\text{add 2 to both sides}\\x\neq2\\\\(3)\ x^2-x-2\neq0\\x^2+x-2x-2\neq0\\x(x+1)-2(x+1)\neq0\\(x+1)(x-2)\neq0\to\ x+1\neq0\ \wedge\ x-2\neq0\\\\\bold{DOMAIN:}\ x\in\mathbb{R}-\{-1,\ 2\}[/tex]

[tex]\dfrac{3x}{x+1}+\dfrac{2x}{x-2}=\dfrac{4x^2-4}{x^2-x-2}\\\\\dfrac{(3x)(x-2)}{(x+1)(x-2)}+\dfrac{(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\dfrac{(3x)(x-2)+(2x)(x+1)}{(x+1)(x-2)}=\dfrac{4x^2-4}{(x+1)(x-2)}\\\\\text{therefore}\\\\(3x)(x-2)+(2x)(x+1)=4x^2-4\qquad\text{use the distributive property}\\\\(3x)(x)+(3x)(-2)+(2x)(x)+(2x)(1)=4x^2-4\\\\3x^2-6x+2x^2+2x=4x^2-4\qquad\text{combine like terms}\\\\(3x^2+2x^2)+(-6x+2x)=4x^2-4[/tex]

[tex]5x^2-4x=4x^2-4\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-4x=-4\qquad\text{add 4 to both sides}\\\\x^2-4x+4=0\\\\x^2-2x-2x+4=0\\\\x(x-2)-2(x-2)=0\\\\(x-2)(x-2)=0\\\\(x-2)^2=0\iff x-2=0\qquad\text{add 2 to both sides}\\\\x=2\notin\bold{D}[/tex]

Answer:

4x^3 + 5

Step-by-step explanation:

(6x^3 - 4) + (-2x^3 + 9)

You can get rid of the parentheses

6x^3 - 4 + -2x^3 + 9

Combine like terms

6x^3 + -2x^3 = 4x^3

-4 + 9 = 5

4x^3 + 5

Answer:

18 batches of pancakes

Step-by-step explanation:

22.5/1.25=18

Answer:

17 batches

Step-by-step explanation:

Divide (1 1/4 cup per batch) into 22 1/2 cups:

  22 1/5 cups

---------------------- = 22.2/1.25 batches = 17.76 batches

   1 1/4 cup

   --------------

     1 batch

One bag of flour will make 17 batches with about 3/4 batch unfinished.

Answer:

[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]

Step-by-step explanation:

The winner of a weight-lifting competition bench-pressed weight 400 pounds.

All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is

[tex]400-23=977\ pounds[/tex]

If x pounds is the weight that the other competitors bench-pressed, then

[tex]x\le 400-23\\ \\x\le 377\ pounds[/tex]

that sounds as the other competitors bench-pressed at most 377 pounds weight.

Answer:

[tex]6 = f(4) \\ \\ 0 = f(-2)[/tex]

Step-by-step explanation:

Think of f(x). Those numbers in parentheses next to the f are x-coordinates, all you have to do is look in the chart and see what y-coordinate they gave you with respect to the given x-coordinates.

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Answer:

2(x+2)

Step-by-step explanation:

3[-x+(2x+1)]=x-1

3[-x+2x+1]=x-1

3[x+1]=x-1

3x+3=x-1

3x-x+3+1

2x+4

2(x+2)

Answer:

C.  Reflect triangle J across the y-axis, then across the x-axis.

Answer:

I think the answer is B but i might be wrong

Answer:24

Step-by-step explanation:

The ratio of 6 to 4 is the same as the ratio of 36 to 24. This is found by setting up the ratios as fractions, setting them equal to each other, and then solving for the unknown.

The question is asking for an equivalent ratio to that of 6 to 4, using 36 as the first term. To do this, you need to determine what number 36 is in the same ratio. A ratio is a relationship between two numbers indicating how many times the first number contains the second. In our case, 6 is to 4 as 36 is to what?

To find the answer, you can set up the ratios as fractions and solve for the unknown. For example, the ratio of 6 to 4 is expressed as 6/4. Because we want a ratio that's equivalent, we say 6/4 = 36/x, where x is the unknown number, we need to find.

Solving for x involves arranging the equation to isolate x and then performing the algebraic operation that gives the value of x. This would be: 6/4 = 36/x -> 6x = 36×4 -> 6x = 144 -> x = 144/6 -> x = 24.

Therefore, the ratio of 6 to 4 is equal to the ratio of 36 to 24 in math.

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Answer:

Part A) The proportional equation is [tex]c=55h[/tex]

Part B) 8 hours of training

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

Let

c -----> the cost to hire a dog

h ----> the amount of time in hours

The linear equation is equal to

[tex]c=kh[/tex]

Sue spent $660 on 12 hours of obedience training for her dog Muffin

Find the value of k (constant of proportionality)

[tex]k=y/x[/tex]

substitute the values

[tex]k=660/12=55[/tex]

therefore

The linear equation is

[tex]c=55h[/tex]

For [tex]c=\$440[/tex]

Find the value of h

substitute in the equation and solve for h

[tex]440=55h[/tex]

[tex]h=440/55=8\ hours[/tex]

Answer:

it looks like it intersects at line t.

Step-by-step explanation:

I mean, just look at the picture. where does plane W and plane J touch? its not line p because that line is intersecting plane W and plane B, its not line a because that's intersecting planes V and J, and then its not B because they obviously do intersect.

I hope this helps you out and have a wonderful day!

[tex]r=\theta\sin\theta+\cos\theta[/tex]

[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}+\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}[/tex]

By the product rule,

[tex]\dfrac{\mathrm d(\theta\sin\theta)}{\mathrm d\theta}=\dfrac{\mathrm d(\theta)}{\mathrm d\theta}\sin\theta+\theta\dfrac{\mathrm d(\sin\theta)}{\mathrm d\theta}=\sin\theta+\theta\cos\theta[/tex]

and

[tex]\dfrac{\mathrm d(\cos\theta)}{\mathrm d\theta}=-\sin\theta[/tex]

So we have

[tex]\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\theta+\theta\cos\theta-\sin\theta[/tex]

[tex]\implies\dfrac{\mathrm dr}{\mathrm d\theta}=\theta\cos\theta[/tex]

Answer:

y = (Cm)/4 + (Cn)/4

Answer:

Step-by-step explanation:

C= 4y/m+n

4y = c(m+n)

y =  c(m+n)/4

12i is the correct answer

have a fantastic day

Answer:

It is undefined or not a real number.

Step-by-step explanation:

There is no negative square root.

square root is a number multiplied by itself twice.

If you multiply a positive number by itself twice, you will get a positive number.

If you multiply a negative number by itself twice, you will get a positive number.

Therefore this is undefined or not a real number.

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