2.
Tom swims a steady pace in the pool. He swims 20 laps in 4 hours. What is the unit rate of
laps per hour?

Answer:

7

Step-by-step explanation:

to find an area of a parallelogram, you have to multiply the width by height. to do the opposite, simply divide 42 to 6 to get 7

Answer:

2$

Step-by-step explanation:

Answer:

2 dollars each

Step-by-step explanation:

11-3=8, 8 divided by 4 bars is 2. Therefore, the answer is 2 dollars each.

Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Answer:

EG ≈ 6

Step-by-step explanation:

sin∅ = opposite over hypotenuse

Since we have a right triangle, we can use trig to solve for the missing values:

∅ = 49°

GE = unknown

FE (hypotenuse) = 8

sin49° = x/8

x = 8sin49°

x = 6.03768

x ≈ 6

EG ≈ 6

Answer:

1/78125 or 0.0000128 or 5^-7

Step-by-step explanation:

Apply exponent rule: x^a/x^b = x^a-b

Answer:

(5m + 6) • (5m - 6)

Step-by-step explanation:

STEP1:Equation at the end of step 1 52m2 - 36 STEP2:Trying to factor as a Difference of Squares

 2.1      Factoring:  25m2-36 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5 

Check : 36 is the square of 6

Check :  m2  is the square of  m1 

Factorization is :       (5m + 6)  •  (5m - 6) 

Final result :

(5m + 6) • (5m - 6)

the equivalent expression is:

60*x^8

Which is option B.

Here we start with:

4*x^2*√(5x^4)*3*√(5x^8)

Remember that square roots are distributive, then we can just write:

(4*3)*(x^2)*(√(5x^4)*√(5x^8))

12*x^2*√(25x^12)

Now, the square root can now be solved

12*x^2*√(25x^12) = 12*x^2*5*x^6

= (12*6)*(x^2*x^6)

Remember that in the right side, the exponents just add, then we get:

(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8

Then the equivalent expression is:

60*x^8

Which is option B.

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Answer:

22

Step-by-step explanation:

96° = (6x - 36)° (alternate exterior angles theorem)

Solve for x using the equation.

96 = 6x - 36

Add 36 to each side

96 + 36 = 6x - 36 + 36

132 = 6x

Divide both sides by 6

132/6 = 6x/6

22 = x

x = 22

Answer:22

Step-by-step explanation: took it on edge also f edge2020

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]

= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]

= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]

= [tex]\frac{30-19}{8}[/tex]

= [tex]\frac{11}{8}[/tex] → C

The simplification of the given equation is 11/8. thus option /c is correct.

Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.

The absolute value function always gives a positive result, which is;

| - a | = | a | = a

Given that | 12 - 3 |/4 - | 23 -42 | /8

| 12 - 3 |/4 - | 23 -42 | /8

| 15 |/4 - | -19 | /8

= 15/4 - 19/8

= 30/8 - 19/8

= 11/8

Therefore, the simplification of the given equation is 11/8. thus option /c is correct.

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Answer:

(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)

Step-by-step explanation:

you plug x into the equation to get y

Answer:

-4, -1, 2, 5

Step-by-step explanation:

I used desmos to graph it

Answer:

-10

Step-by-step explanation:

-2.5 times 4

-10

Answer:

-10

Step-by-step explanation:

Multiply the number -2.5 * 4

= -10

Answer:

[tex]f^{-1} (x)[/tex]=[tex]\frac{4}{1+x}[/tex]

Step-by-step explanation:

The first step is to switch y for x and x for y so the equation will look like

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

the next thing you do is isolate y so you have to multiply y to both sides to get

[tex]xy=4-y[/tex] now you got to add y to both sides which would get you

xy+y=4

since xy and y share a y value you have to try and factor out y which would get you

y(x+1)=4

the final step is to divide x+1 on both sides

y[tex]\frac{(x+1)}{x+1}[/tex]=[tex]\frac{4}{x+1}[/tex]

which since x+1 and x+1 crosses each other out we are left with

y=[tex]\frac{4}{1+x}[/tex]

Answer:(4,-3); 2x-7y=14

Step-by-step explanation:

Answer:

slope = -0.5

y-intercept = 5

Answer:

x [tex]\geq[/tex] 11

Step-by-step explanation:

[tex]8\left(x+1\right)-7x[/tex]

[tex]8x+8-7x[/tex]

[tex]x+8[/tex]

Then..

[tex]x+8\ge \:-3[/tex]

Subtract 8 from both sides

[tex]x+8-8\ge \:-3-8[/tex]

Then, you got your awnser.

[tex]x\ge \:-11[/tex]

Answer:

1st blank : 1

2nd : 3

3rd : 5

4th: 7

Step-by-step explanation:

you have to replace x in the equatoin by the numbers you have in the first line.

For example : y= 2x+5

y= 2(-2) + 5

y= -4+5

y= 1

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

The number of stars in the observable universe is; 3.033 × 10¹⁴

Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;

However, there are about 100 billion galaxies in the observable universe.

We can rewrite that in scientific notation form so that we have;

Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

By the laws of indices;

Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.

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Answer:

1/6 as an decimal would be, 0.1666 Continued

Step-by-step explanation:

Answer:

0.1666 continuing

Step-by-step explanation:

This is 1/6 as a decimal

Answer:

What is the question please post the full question next time

Answer:

x = 10°

Step-by-step explanation:

(5x + 2) + 38 = 90

5x + 2 = 90 - 38

5x = 52 - 2

5x = 50

x = 50 ÷ 5

x = 10°