Simplify 5(1 + 3)^2.

Answers

Answer 1

Answer:

400

Step-by-step explanation:

5(1+3) to the power of 2

5×1=5 5×3=15

(5+15) to the power of 2

5+15=20

20 to the power of 2 = 400


Related Questions

Which one?
A. B. C. or D? ​

Answers

I’m confused on this one aswell

Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?

Answers

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]

[tex]0.2396x\leq 10-3.25[/tex]

[tex]0.2396x\leq 6.75[/tex]

Divide both sides by 0.2396.

[tex]x\leq \dfrac{6.75}{0.2396}[/tex]

[tex]x\leq 28.172[/tex]

The maximum integer value of x is 28.

Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.

Sarah is planning to download music and has purchased a monthly package for $12.00 plus $0.60 for each song that she downloads. If Sarah’s bill this month totaled $39.00 how many songs did she download?

Answers

Answer:

Sarah downloaded 65 songs.

Find the quotient.
(Idk what it means I’m kinda confused)

Answers

Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

If f(x) = ln(x+4+e^-3x) then f'(0) is what?

Answers

Answer: f(0) = 0

Step-by-step explanation: anything multiplied by 0 is 0.

The value of   [tex]f'(0)=\frac{-2}{5}[/tex]

What is Derivative of a function?

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument

It is denoted by f ' ( x ) = dy / dx

Given data ,

Let the function be f ( x ) =   [tex]ln(x + 4 + e^{-3x} )[/tex]

To differentiate f ( x ) ,

Let  [tex]y=ln(a)[/tex] , where [tex]a=x+4+e^{-3x}[/tex]

So ,

[tex]e^{y} =a[/tex]

Using this function , we can write

[tex]e^{y} = x + 4 + e^{-3x}[/tex]

On differentiating , we get

[tex]e^{y}\frac{dy}{dx} = 1 + 0 -3e^{-3x}[/tex]

Dividing by [tex]e^{y}[/tex] on both sides , we get

[tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{e^{y} }[/tex]

We know , [tex]e^{y} =a[/tex]

And [tex]e^{y}=x+4+e^{-3x}[/tex]

So ,   [tex]\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Therefore [tex]f'(x)=\frac{dy}{dx} = \frac{ 1-3e^{-3x}}{x+4+e^{-3x} }[/tex]

Now , [tex]f'(0)=\frac{1-3e^{0}}{0+4+e^{0} }[/tex]

[tex]f'(0)=\frac{-2}{5}[/tex]

Hence , the value of   [tex]f'(0)=\frac{-2}{5}[/tex]

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C. The King football team ordered 50 hats. The cost of shipping was
$6.50. If King spent $256, how much was each hat?

Answers

The answer is $4.99 each

One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.

Answers

Answer:

166.67 miles.

Step-by-step explanation:

let the number of mile for which the cost for both car rental be same is x mile

For first car rental

weekly fees charged = $10

cost of 1 mile = $0.29

cost of x miles = x*cost of 1 mile = $0.29x

total money charged by first car rental = $10 + $0.29x

For other car rental

weekly fees charged = 0

cost of 1 mile = $0.35

cost of x miles = x*cost of 1 mile = $0.35x

total money charged by other car rental = $0.29x

_______________________________________

since we have to find miles for which charges are same

thus

total money charged by first car rental  = total money charged by other car rental

10 + 0.29x = 0.35x --------------------equation required

=> 10 = 0.35x - 0.29x

=> 10 = 0.06x

=> x = 10/0.06 = 166.67

Thus, the number of miles for which both agencies will charge the same is 166.67 miles.

Carl drives to the beach at 50 mph. When he returns home he is able to travel at 55
mph. Assuming the trip home takes him a half hour less, find the distance to the beach.

Answers

Answer:

the distance to the beach is 27.5 miles (multiple choice is under rated)

A patio is designed using two types of tiles. The tiles are similar isosceles triangles. The lengths of the sides of the larger triangle are 6 inches, 6 inches, and 4 inches. Which one of these could be the side measurements of the smaller triangle?

Answers

Ommited Answer Choices:

A. 4 inches, 4 inches, 4 inches

B. 3 inches, 3 inches, 3 inches

C. 3 inches, 3 inches, 2 inches

D. 2 inches, 2 inches, 3 inches

Answer:

C. 3 inches, 3 inches, 2 inches

Step-by-step explanation:

The ratio of the corresponding lengths of two similar polygons will always be equal.

Thus, the ratio of the smaller sides of both similar isosceles ∆ should equal the ratio of the other sides.

Thus, from the options given, the side measurements that could be that of the smaller triangle are: 3 inches, 3 inches, 2 inches.

This is because: ratio of one of the equal side of the larger triangle to one of the equal side of the smaller triangle equal ratio of the shortest side of the bigger triangle to the shortest side of the smaller triangle.

Thus: 6/3 = 4/2 = 2.

A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden

Answers

Answer1/2(8x15)=60ft2

Step-by-step explanation: hope this helps you

The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.

What is the area of a triangle?

The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.

The area of the triangle will be calculated as,

Area = 1/2 x 15 x 8

Area = 15 x 4

Area = 60 square feet

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Name an angle supplementary to /EOD

Answers

It’s cod, they add up to 180

What’s the volume to this shape?

Answers

Answer:

30x^6

Step-by-step explanation:

5×2×3=30

x+x+x+x+x+x=6x

Indices gets added when they are multiplied

Answer:

[tex]540x^{3}[/tex]

Step-by-step explanation:

First, we need to simplify all over the cubes and squares.

2x^2 = 4x

3x^3 = 27x

5x=5x

Then , we need to multiply them together.

27x*4x= 108x

108x*5x = 540x

Now, we have our answer

Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?

Answers

did u get the awnsers?

mike bought an item for $14,000 after a discount of 30% what was the original price of the item mike brought? please show work.

Answers

Answer:

It should be $20,000

Step-by-step explanation:

From $20,000 to $14,000 = -30%

Which the -30% is the discount basically

So your final answer should be $20,000

$20,000 was the original price.

From 24 grams to 96 grams ( percent change )

Answers

Answer:

i think it is 300%

Step-by-step explanation:

Can someone help me with these two questions step by step plz

Answers

Answer:

1) x= 20

2) x= 75

Step-by-step explanation:

In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10

Step 1- Subtract 10 to both sides.

50= 2x+10

-10         -10

40= 2x

Step 2- Divide both sides by 2.

40= 2x

2     2

x= 20

In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:

x-10+2x-35= 180

Step 1- Add common variables.

(x+2x)+(-10-35)= 180

3x-45= 180

Step 2- Add 45 to both sides.

3x-45= 180

   +45  +45

3x= 225

Step 3- Divide both sides by 3.

3x= 225

3      3

x= 75

Input the value of x into the equations.

75-10= 65

2(75)-35= 115

Hope this helps!

0.375, 75% , 5/8, 1/2
From least to greatest pls

Answers

03.75, 1/2 , 5/8 , 75%

if 1/4 of the pie was eaten what fraction of the original whole pie remains

Answers

Answer:3/4

Step-by-step explanation:

3/4 of the pie remains

Earth is 148.61 million km from the sun in scientific notation it is

Answers

Answer:

1.48x10^2  ten to the second

Step-by-step explanation:

the Venn diagram is shown below​

Answers

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?

Please help

Answers

Answer: 9:7

Subtract 32 by 14, because there are 14 red marbles.

32 - 14 = 18.

Now, get the numbers 14 and 18. Reduce them to the lowest.

18 ÷ 2 = 9

14 ÷ 2 = 7

Make 9 & 7 to a ration.

Ration- 9:7

Answer is   9:7

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

Explanation

There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.

The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).

The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.

What is an equation of the line that passes through the points (6,4) and (4,1)

Answers

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]

HELPPP! PLEASEEEE, middle school is hard.

Answers

Answer:

a. sss

Step-by-step explanation:

Answer:

All it is asking you to do is chose which letters at the bottom prove that ADE=BCE. I would say none of them, but I don't really know. I know my explanation is a little unclear but I hope it will help you in some way.

Step-by-step explanation:

2x-3y=6 How do you get y by itself

Answers

Answer:

[tex]y=\frac{2x-6}{3}[/tex]

Step-by-step explanation:

3y=2x-6

[tex]y=\frac{2x-6}{3}[/tex]

First, you have to move the x, along with the coefficient(2).

To move the 2x, you have to subtract it from both sides.

So you have -3y= 6-2x

Now you have to divide by -3.

DON’T FORGET THE NEGATIVE.

So you have y = -2 +2/3

In slope intercept form

If this helped please mark branliest

In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER ​

Answers

Step-by-step explanation:

Here you go, I tried my best

cheers

The original fraction is [tex]\frac{4}{8}[/tex]

Let the numerator = a

Let the denominator = b

Denominator is 4 larger than the numerator: b = a + 4

2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2

The algebraic equation from the given statement is formed as follows;

[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]

The original fraction is calculated as follows;

[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]

Thus, the original fraction is [tex]\frac{4}{8}[/tex]

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What is the DOMAIN of the given relationship?
(-2, 4), (1, 0), (3, -1), (4, 4)

Someone answer ASAP plsss

Answers

Answer:

(-2,4)

Step-by-step explanation:

Because -2 is the x minimum and 4 is the x maximum :)

1. The first step to solving a 2-Step Equation, like in the problem below, is
to: *
2 points
-3x + 5 = 12
Division: Divide both sides by -3 to isolate the variable.
Addition: Add 3 to both sides to isolate the variable.
Subtraction: Subtract 5 from both sides to isolate the variable term.
Multiplication: Multiply by the common denominator 60.

Answers

Answer:

addition add 3 to both sides to isolate the variable term

f(x) = -2x+3

find f(-3)

Answers

Answer:

3

Step-by-step explanation:

this is because 3 would be the answer

f(x)=-2+3

0=-2x+3


2x=3

Divide both sides

x=3/2

Please just do whatever you can

Answers

Answer:

6. -62/289 or -0.249135

Explanation:

8/17x-3/5=-24/85x15/17= -62/289

cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer

Answers

1.)17.32 which would round to 17.3(to find mean you add up all the numbers in the data set then divide by how many numbers there are)

2.)22(mode is the number that is repeated the most in a data set)
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