A. >
B. <
C. =
D. none of the above

Answer:

1. √144 2.√16 3.√289

= 12 = 4 = 17

4. √(4/81) 5. √25 6. √400

= 0.222 = 5 =20

7. 3√27 8. 3√-8 9. 3√216

= 15.588 = -2 = 6

10. 3√343 11. 3√-1000 12. 3√1

= 7 = -10 = 3

________________________________

13. √112

= solution,

Cube roots, square roots,

3√112 2√112

= 3√(2x2x2)x2x7 = 4√28

= 2 ∛14 = 4√7

= 4.82

14. √20

=

The probability that describes an event as "very likely" is option B, 0.9.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

A probability of 0.9 means that there is a 90% chance that the event will occur, which is a high likelihood of the event happening. In general, probabilities between 0.7 and 1 are often considered to be "likely" or "very likely".

Therefore, the correct option is B.

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Answer:

$0.99 in change

Explanation:

To apply the sales tax, you have to multiply:

8.50*1.06=9.01

This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.

Answer:

5

Step-by-step explanation:

5

Answer:

24 gallons per hour

Step-by-step explanation:

Connor filled his 150-gallon pool with water in 6.25, to find out how many gallons per hour he used, we have to divide the amount of gallons into every hour. Therefore:

150/6.25

24 gallons per hour.

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

Answer:

-9<2

-1>-3

3>-7

-8<-4

Explanation:

< = less than

> = more than

Answer:

2 -1 3 -4 and its always positive if you do the negitives it would be the lowst

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

Given :

Solving :

Answer:

-685

Step-by-step explanation:

hope I helped

Answer: 45 items

Step-by-step explanation:

2 key chains in 5 bags so 2+2+2+2+2=10

Then it says 7 treats in each 5 bags so

7+7+7+7+7=35

So 10+35=45 so she had 45 items

And put 9 items in each bag

The possible number of cupcakes is less than or equal to 23

let

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

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Answer:  [tex]j \div 8[/tex]

We're dividing unknown number j over 8

We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]

The quotient is the result of a division problem (there may or may not be a remainder).

Answer:

(-3.5, 0.5)

Step-by-step explanation:

Midpoint Formula

Solving

Answer:

1080°

Step-by-step explanation:

(n - 2) x 180

n = number of sides = 8

(8 - 2) × 180 = 1080°

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

I don't know if this is correct but this is what I thought of:

Answer:

D 166,400

Step-by-step explanation:

200÷32 = 6.25

1040000 ÷ 6.25 = 166,400

Answer:

85

Step-by-step explanation:

a² + b² = c²

13² + 84² = x²

x = 85

Answer:

Step-by-step explanation:

Given system of equations

Express the first equation as

Substitute the value of y into second equation

Solve for x

Find the value of y

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

[tex]\implies -2x-y=1[/tex]

[tex]\implies -2x-y+y=1+y[/tex]

[tex]\implies -2x=1+y[/tex]

[tex]\implies -2x-1=1+y-1[/tex]

[tex]\implies y=-2x-1[/tex]

Substitute the expression for y into Equation 2 and solve for x:

[tex]\implies -4x-(-2x-1)=11[/tex]

[tex]\implies -4x+2x+1=11[/tex]

[tex]\implies -2x+1=11[/tex]

[tex]\implies -2x+1-1=11-1[/tex]

[tex]\implies -2x=10[/tex]

[tex]\implies -2x \div -2=10 \div -2[/tex]

[tex]\implies x=-5[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies -2(-5)-y=1[/tex]

[tex]\implies 10-y=1[/tex]

[tex]\implies 10-y+y=1+y[/tex]

[tex]\implies 10=1+y[/tex]

[tex]\implies 10-1=1+y-1[/tex]

[tex]\implies y=9[/tex]

Therefore, the solution to the given system of linear equations is (-5, 9).

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Answer:

3.499 cm

Step-by-step explanation:

volume of a cylinder = pi r^2 h

                             500 = pi r^2 (13)

                           sqrt ( 500/(pi * 13) = h =

A:

5=2+3

-> right triangle

B:

5=4+3

-> not a right triangle

C.

36= 25+16

36= 41

-> not a right triangle

D.

49= 25+25

49=50

-> not a right triangle

E.

100= 36+ 64

100= 100

-> right triangle

Answer:

COUNT HOW MANY THERE ARE

Step-by-step explanation:

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]

Second pair:-

[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]

If we multiply/divide a negative by a negative, we get a positive. :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Length: 24 cm

Width: 8 cm

Explanation:

Let Width be "w"

Then Length is "3w"

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

Perimeter of rectangle = 2(length+width)

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

So, width is 8 cm

Length: 3w ⇒ 3(8) ⇒ 24 cm

Answer:

Step-by-step explanation:

Given

Solving

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

The period of a sine function is equal to the 2π and it repeats after each 2π units.

The  sine model can be given as,

[tex]y = a\sin(bt) +k[/tex]

The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,

[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]

The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,

[tex]k=30[/tex]

The blades are 10 feet long. Thus,

[tex]a=10[/tex]

Put these values in the above formula as,

[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.

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Answer:

B

Step-by-step explanation:

Answer:

6 and 9

Step-by-step explanation:

Because if 6 is substituted,

And if 9 is substituted,