round 45,621 to the nearest 10

Answer:

1. f⁻¹(x) = ±²√(-⅓(x + 6)) + 4

2. y = ²√(x–3) + 4

3. y = (x/4)³

9514 1404 393

Answer:

Step-by-step explanation:

To find the inverse function, solve for y the equation ...

  x = f(y)

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1.

  [tex]x=f(y)\\\\x=-3(y-4)^2-6\\\\x+6=-3(y-4)^2\qquad\text{add 6}\\\\\pm\sqrt{\dfrac{x+6}{-3}}=y-4\qquad\text{divide by -3, square root}\\\\4\pm\dfrac{1}{3}\sqrt{-3(x+6)}=y\qquad\text{add 4, rationalize the denominator}\\\\\boxed{f^{-1}(x)=4\pm\dfrac{1}{3}\sqrt{-3x-18}}\qquad\text{simplify the radical}[/tex]

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2.

  [tex]x=\sqrt{y-4}+3\\\\x-3=\sqrt{y-4}\qquad\text{subtract 3}\\\\(x-3)^2=y-4\qquad\text{square both sides}\\\\\boxed{y=(x-3)^2+4}\qquad\text{add 4}[/tex]

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3.

  [tex]\displaystyle x=4\sqrt[3]{y}\\\\\frac{x}{4}=\sqrt[3]{y}\\\\\left(\dfrac{x}{4}\right)^3=y\qquad\text{cube both sides}\\\\\boxed{y=\dfrac{x^3}{64}}[/tex]

Answer:

D. 225

Step-by-step explanation:

b maybe

Step-by-step explanation:

I think it may be being mentally stronger trying to help you

Answer: There are 20 sets of numbers in the picture, one set is all 1's, which would be having all 5 answers correct.

Divide 1 by 20 to get 5%.

The answer is A.

Step-by-step explanation:

Answer: 15.45133224

Step-by-step explanation:

Find the area of the half circle.

r=6

pi (6)^2/2

Divide by two because it is a half circle not a circle.

pi (6)^2/2=18 Pi

We know there are two square with even side lengths so we know the sides of the two squares are 6 it is the same as the radius of the circle.

We multiply B*H= Area of the square

6*6=36 is the length of half of the rectangle aka the square

So we multiply that by 2 because there are 2 squares so we get 72

72-18 Pi= 15.45133224

Answer:

15.48 is the answer

Step-by-step explanation:

6×6×3.14=113.04

113.04÷2= 56.52

6×12= 72

72-56.52= 15.48

Answer:

thanks i guess

Step-by-step explanation:

Answer:

Correct: A, B, C, E, AND F

Step-by-step explanation:

The reason being, that the larger the negative number, the smaller it gets. Think of it like this:

One person owes another, 8 dollars, and let's say he currently has none. So if he owes 8 dollars and he has none, then it would be 0-8, or, -8.

Now let's say someone else owes 200 dollars, and they have 100 dollars.

If they give 100 dollars, they still need to give another 100, right? so it would be -100 dollars, therefore, a greater debt than the guy with the 8 dollars.

If a negative number looks larger than another, in reality, it's just a bigger debt to pay, so it's smaller worth. -8 is larger than -100 because it's closer to 0.

Last example:

-100, -75, -50, -30, -23, -8, -2, 0, 1, 2, 3... See? -8 is closer to zero than -100, so it's larger.  

C is correct because negatives are smaller than positives. -1 is below 0, so it's smaller than 1, which is greater than 0.

Hope this helps :)

Answer:

Mean is 402

Median is 400

Mode is 480

Range is 184

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 402

296, 352,368, 384, 416, 440, 480, 480

Range: 184

Median: 592

Mode: 480

Answer:

88.86

Step-by-step explanation:

Okay, first find the area of the circle (πr^2)

The diameter of the circle is 14, however we need the radius. Simply divide the diameter by two.

[tex]\pi 7^{2}[/tex]

3.14*49 =153.86

Next, we find the area of the rectangle (bh)

13*5 =65

Subtract the rectangle from the circle.

153.86-65 =88.86

Hope this helps you :)

Answer:

11.06

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

you think about the way you would normally solve it but a bit backwards therefore multiply 36x29 and that equals 1,044 and divide that from 7,830 and thats 7.5 multiply to check

Answer:

Ask you school if they have free tutoring. A lot of schools use the honor students to tutor kids that need help in school.

Step-by-step explanation:

so the selling price is pretty much the cost price + the profit

so its

selling price = cost price + profit

Answer:

9.3

Step-by-step explanation:

Answer:

0.89

Step-by-step explanation:

Trust

Answer:

16

Step-by-step explanation:

Divide 65 by 40 and then multiply it by 10. That gets you 16.25 so you have to round it because you can't have 1/4 of a person. So you'll get 16.

Answer:

Lisa can buy 5 pounds of tomatoes.

Step-by-step explanation:

Given that Lisa has $ 7.80 to spend on some tomatoes and a loaf of bread, and tomatoes cost $ 1.20 per pound, and a loaf of bread costs $ 1.80, to determine how many pounds of tomatoes she can buy, the following calculation must be performed:

1.20X + 1.80 = 7.80

1.20X = 7.80 - 1.80

X = 6 / 1.20

X = 5

So Lisa can buy 5 pounds of tomatoes.

Answer:

1) 70 for both of them

2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range

3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR

4) A: 80, B: 85

5) A: 65, B: 60

6) 50

7) 100

8) Plot B, see #2 for work

9) 50% - 50% of data is always between Q1 and Q3

10) 25%

11) 25%

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Answer:

a.4 people share 1/5 of a pie

Step-by-step explanation:

Answer $17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student

Step-by-step explanation:

Answer:

Addition Property of Equality

Step-by-step explanation:

That property says it's OK to add the same number to both sides of an equation

If  a = b,  then  a + c = b + c

0o----------------------------o5

Step-by-step explanation: