A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.

Answer:

D

Step-by-step explanation:

That's the answer.......

Answer:

D

Step-by-step explanation:

Answer:

3 mi/min

Step-by-step explanation:

speed =distance/time

900/300=3

Answer:

angle 1 = angle 2

Step-by-step explanation:

1 and 2 are corresponding angles meaning if they are equal but on opposite sides. If you now for example angle 1 = 20 , 2= is also 20.   This is helpful to know if you want to solve for x on one of these angles

Answer:Complimentary angle

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

[tex]\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11[/tex]

x = 44

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

Answer:

B. -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Calculus  

Integrals  

Integration Rule [Reverse Power Rule]:                                                                [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]  

Integration Property [Swapping Limits]:                                                                  [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                           [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]  

Integration Property [Addition/Subtraction]:                                                         [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]  

Integration Property [Splitting Integral]:                                                                 [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]  

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]

[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]

[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]

Step 2: Redefine

Manipulate the given integrals.

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

71 degrees

Step-by-step explanation:

Let's close the top part of the picture to make a parallelogram.

A parallelogram's four angles at each corner MUST be equal to 360 degrees.

Another property of a parallelogram is the opposite angles are congruent, meaning they're equal.

So, using these properties, we can now solve for a.

[tex]360=a+a+109+109\\360=2a+218\\142=2a\\71=a[/tex]

Answer:

a. Length = 13 yards and Width = 21 yards.

b. Area of rectangle = 273 square yards.

Step-by-step explanation:

Let the length of the rectangular garden be L

Let the width of the rectangular garden be W

Given the following data;

Perimeter of garden = 68 yards

Translating the word problem into an algebraic equation, we have;

W = 2L - 5 ......equation 1

Note: The formula for calculating the perimeter of a rectangle is;

[tex]P = 2L + 2W[/tex]

68 = 2L + 2W ........equation 2

Substituting eqn 1 into eqn 2;

68 = 2L + 2(2L - 5)

68 = 2L + 4L - 10

68 = 6L - 10

6L = 68 + 10

6L = 78

L = 78/6

L = 13 yards

To find the width;

W = 2L - 5

W = 2(13) - 5

W = 26 - 5

W = 21 yards.

b. To find the area of the garden;

Area of rectangle = length * width

Area of rectangle = 13 * 21

Area of rectangle = 273 square yards.

answer:

y = 35

x = 35

explanation:

y and 35 are vertical angles therefore are equal.

x and 35 are alternate interior angles therefore are equal.

if correct, please mark the brainliest :)

Answer:

Both values equal 35 degrees

Step-by-step explanation:

This is because y and the angle that shows 35 degrees are vertical angles, meaning they have the same measurements. x and y are corresponding angles, which means they also have the same measurements.

Hope this helps :)

Answer:

D. 1/9

Step-by-step explanation:

The x-coordinate is -1/3

Answer:

y = -48

x = 0

Step-by-step explanation:

Answer:

The equation that models the situation is [tex]y = 8 - 0.75t[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.

A candle is 8 inches tall and burns at 3/4 inch each hour.

Using t as number of hours and y as the height.

Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]

Burns at 3/4 inch each hour.

That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]

So

[tex]y = 8 - 0.75t[/tex]

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and

Circumference is the distance around

diameter is the line that goes from one side through the middle to the other side

origin is (0,0)

pi is 3.14

radius is the line that goes from the center to the side and can go any direction

Hope this helps!!!!

Answer:

D) 1,000,000

Step-by-step explanation:

Here it is.

Answer:

i don't know c

Step-by-step explanation:

Answer: Michelle it’s 4

Step-by-step explanation: they are from the same deck

Answer:

A and E

Step-by-step explanation:

Answer:

1 1/2

Hope that helps!

Step-by-step explanation:

Answer:

The expression is not equivalent because you cannot combine 2 variables that are different from eachother.

Step-by-step explanation:

you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.

Answer:

£36

Step-by-step explanation:

7-3=£9.60/4

4units=£9.60

1 u=£9.60÷4=£2.40

total units->5+3+7=15

15 units=15×£2.40=£36

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

multiply (x+6) by 2/3

2/3x + 4 = -18

subtract 4 from both sides

2/3x + 4 - 4 = -18 - 4

2/3x = -22

multiply by 3/2

2/3 x 3/2 x = -22 x 3/2

x = -33

Step-by-step explanation:

so we basically  simplify the equation to the form, which is simple to understand

2/3(x+6)=-18 then Reorder the terms in parentheses

+( + 0.66666666666667x+4)=-18 after that

Remove unnecessary parentheses

+ 0.66666666666667x+4=-18 then We move all terms containing x to the left and all other terms to the right.

+ 0.66666666666667x=-18-4 so We simplify left and right side of the equation.

+ 0.66666666666667x=-22 We divide both sides of the equation by 0.66666666666667 to get x.

x=-33 get it?

Answer:

D. The rate of change for function B is greater than the rate of change for function A

Step-by-step explanation:

Function a has a slope (aka rate of change) of 3/3

I know this because we start at (-3, 0) then finish at (0, 3)

We added 3 to both the x value and the y value.

3/3 = 1, so we have a rate of change of 1 for function A

Now that we know this, we can write the equation out into slope intercept form.

We can get y = x + 3

The equation for function B is y = 5x + 5

The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A

Answer:

The value of 3x is -9

Step-by-step explanation:

Given Equation

[tex]6(2x + 1) = - 36 - 2x[/tex]

Step 1

[tex]12x + 6 = - 36 - 2x[/tex]

Step 2

[tex]12x + 2x = - 36 - 6 \\ 14x= - 42 \\ x = \frac{ - 42}{14} \longrightarrow \frac{ - 3}{1} \\ x = - 3[/tex]

But we want to know what is the value of 3x.

Step 3

[tex]3x = 3( - 3) \\ 3x = - 9[/tex]

Hence, the value of 3x is -9

Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!

I think the mathematical equation for this sentence is

(Step 1)

4x-18=5                    Add 18 to both sides to get the numbers on the same

 +18  | +18              Side of the equals sign.

----------------------      

4x =23

(Step 2)

4x =23  / 4           Divide equation by four

x=5.75                     The answer is X=5.75

Hope I was able to help :)

Answer:

Assuming you wanted to find that mystery number:

It would be 5.75.

Step-by-step explanation:

5 = 4x - 18

Add 18 to both sides of the equation:

5 + 18 = 4x - 18 + 18

23 = 4x - 18 + 18

23 = 4x

Divide each side by 4:

(23/4) = (4x/4)

23/4 = x

5.75 = x

x = 5.75

Answer:

41

Step-by-step explanation

because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.

the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.

so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.

then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]

then you add the two numbers and you get 1681=[tex]c^{2}[/tex]

u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]

simplify that, and you get c=41

hopefully that helped ! :)

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex]9.01 \times {10}^{3} = 9.01 \times 1000 = 9010[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

530.7

Step-by-step explanation:

A circle's area is defined as πr²

You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:

3.14×13²

When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7

Hope this helps!