Use the following scenario to answer the question below:

You are deciding between two cars with different engines and want the bigger of the two. One engine displaces 350 cubic inches. The other displaces 5,500 cubic centimeters. How many significant figures do the values in this problem involve?

A. 4
B. 1
C. 3
D. 2

Answers

Answer 1

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

What is the ratio of the centimeter?

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

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Related Questions

B) State whether the given pairs are complementary, supplementary or neither.
1) 25°, 155°

2) 46°, 44°

3) 68°, 108°

4) 180, 72⁰

6) 19⁰, 161°

5) 320, 58⁰.

Answers

Answer:

1st answer supplementary angles

2nd answer complementary angles

3rd answer neither

4th ananswe complementary angles

5th answer complementary angles

6th answer supplementary angles

hope you find this helpful

Solve y = ax² + c for x.

Answers

Answer:

[tex]x =\pm\sqrt{\dfrac{y-c}a}[/tex]

Step-by-step explanation:

[tex]~~~~~~y= ax^2 +c\\\\\implies ax^2 = y-c\\\\\implies x^2 =\dfrac{y-c}{a}\\\\\implies x =\pm\sqrt{\dfrac{y-c}a}[/tex]

Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486

Answers

The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)

The nth term of a geometric sequence

First term, a1 = -6

Fifth term, a5 = -486

a5 = ar^(n - 1)

-486 = -6 × r^(5-1)

-486 = -6r⁴

r⁴ = -486 / 6

r⁴ = 81

r = 4√81

r = 3

Geometric rule:

nth term = ar^(n-1)

nth term = -6 × 3^(n - 1)

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6. Free trade is defined as "a system of buying and selling between countries that is
carried out with no government involvement Based on what you've learned about
international trade, write a three-to five-paragraph essay about who benefits the
most from free trade: developed, developing, or underdeveloped nations. (10 points)

Answers

Free trade is defined as "a system of buying and selling between countries that is. carried out with no government involvement Based on what you've learned about international trade,

What is International trade?

The term "lobby" here refers to that action which seeks to influence or affect a certain issue most specifically those that are business and politically related. And based on the scenarios above, the one that would most likely motivate an autoworker union to lobby congress would be the first option.  

The World Bank is a financial institution created after World War II by developed countries to promote economic development around the world through loans to developing countries. To get a loan, a developing nation must submit a project that is evaluated by World Bank secretaries. Some focus areas of the bank finances are human development, agriculture, environmental protection, industrial projects, infrastructure, and corporate governance.

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15 points, helppp please ​

Answers

Answer:

the value of c is 13.

Step-by-step explanation:

See the picture attached below for a step by step explanation

The volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. What is the volume of a cube with side 4 inches?

Answers

Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,

Volume of the cube = (4 in)³ = 64 in³

Hence, the volume of the cube with side length of 4 inches is 64 inches³.

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what is the answer to a math problem I had it on khan academy but the problem I


1 2/7 divided by (-2 1/4)

Answers

hat is the answer to a math problem I had it on khan academy but the problem I

1 2/7 divided by (-2 1/4)

Answer:

-4/7

Step-by-step explanation:

1 2/7 divided by (-2 1/4)

1 2/7 = 9/7

-2 1/4 = -9/4

9/7 divided by -9/4 =

9/7 multiplied by -4/9 =

9's cancel out

1/7 multiplied by -4/1 =

-4/7

(x-1)(x+1)= выполнить умножение

Answers

Answer:

x^2-1^2

Step-by-step explanation:

formula:

(a-b)(a+b)=a^2-b^2

Can anyone help me i really need it rn

Answers

Answer:

11.   g

12.  f

13.  e    (add all the frequencies)

14.  d

15.  c    (eg. 17.5 -8.5 = 9)

16.  b

17.  a

Let me know if you have any questions.

Hope this helps!

What is the volume of this sphere?
Use 3.14 and round your answer to the nearest
hundredth.
18mm
cubic millimeters

Answers

Answer:  24416.64

Work Shown:

[tex]V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*18^3\\\\V \approx 24416.64\\\\[/tex]

Question 15 of 16
Which of the following is the domain of the function based on the input-
output table below?

Answers

Answer:

C

Step-by-step explanation:

it is because the hours spent by training will determine the pay at the end of the month.

therefore it's independent that's y it is the domain.

what is the vertex of: y = x^2 + 8x - 10

Answers

Answer:

vertex = -4, -26

Step-by-step explanation:

The standard form of a quadratic function is : [tex]y=ax^{2} +bx+c[/tex]
The function here : y = [tex]x^{2}[/tex] + 8x - 10
is in this form with a=1, b=8 and c = -10
x-coord of vertex = [tex]\frac{-b}{2a}[/tex]
[tex]x_{vertex} =\frac{-8}{2} = -4[/tex]
To find corresponding value of y-coord of vertex , substitute

x = -4 into the function.
x=-4  : [tex]y=(-4)^{2} +(8*(-4))-10 = 16 +(-32)-10=-26[/tex]


Solve for x.
JKL
2x-4
8
16
7
56

Answers

you have to use intercept theorem, also known as Thales's theorem to slove this problem

If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​

Answers

Answer:  10 elements

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

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = 10 items in set A U B

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?

Answers

Answer:

y= -1/2x+5

Step-by-step explanation:

How old are people when their voice change

Answers

For boys, it's between the ages of 12-16

And for girls, it's between the ages of 10-14

Answer:

boys between ages 12 and 16 girls between ages 10 and 14

can someone help with this please


Answers

Answer:

Step-by-step explanation:

Paige is working on an art project. She draws two rectangles that are connected. The total area of the two rectangles is 56 centimeters. The
dimensions of the smaller rectangle are 2 centimeters by 7 centimeters.

Answers

Answer:

2 * 21

3 * 14

6 * 7

Step-by-step explanation:

7 * 2 = 14

56 - 14 = 42

Multiples of 42 = 2,3,6,7, 14, 21

The possible dimensions of the larger rectangle are:

21 centimeters by 2 centimeters

14 centimeters by 3 centimeters

7 centimeters by 6 centimeters

Let the dimensions of the larger rectangle be length L and width W.

We know that the total area of the two rectangles is 56 square centimeters.

Area of the smaller rectangle = 2 cm * 7 cm = 14 square centimeters

Area of the larger rectangle = Total area - Area of the smaller rectangle

Area of the larger rectangle = 56 square centimeters - 14 square centimeters

Area of the larger rectangle = 42 square centimeters

Now, we need to find the possible dimensions of the larger rectangle with an area of 42 square centimeters.

To find the possible dimensions, we can list all the pairs of whole numbers (L, W) whose product is 42.

7 * 2 = 14

56 - 14 = 42

Multiples of 42 = 2,3,6,7, 14, 21

Remember that the length (L) should be greater than or equal to the width (W) to avoid counting duplicates.

The possible dimensions are:

L = 42, W = 1 (42 cm * 1 cm = 42 square centimeters)

L = 21, W = 2 (21 cm * 2 cm = 42 square centimeters)

L = 14, W = 3 (14 cm * 3 cm = 42 square centimeters)

L = 7, W = 6 (7 cm * 6 cm = 42 square centimeters)

So, the possible dimensions of the larger rectangle are:

42 centimeters by 1 centimeter

21 centimeters by 2 centimeters

14 centimeters by 3 centimeters

7 centimeters by 6 centimeters

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(5 1/6-x)*2 7/10-1 3/14=3 2/7

Answers

Answer:

3.5

Step-by-step explanation:

A weather forecast predicts that for each day from Monday to Friday this week, there is a $40\%$ chance of sun, a $25\%$ chance of getting 4 inches of rain, and a $35\%$ chance of getting 10 inches of rain. What is the expected value of the total number of inches of rain which will fall from Monday to Friday

Answers

Step-by-step explanation:

correct u know jsjsjsjsjajajaj shahha hshshs hsgshs hshshs hshshs hzhsvs hsvzvshsvss hshshs hshshs hshsh hshs

Kevin is running a marathon. His time comes to 26 miles in 2 2/3 hours. What is his speed in miles per hour?

Answers

x= mph
26 miles
2 2/3 hours

convert 2 2/3 into a fraction
2 2/3 =8/3

x = 26 / (8/3)
x = 9.75 miles per hour

doubling the sum of 5 and a number is equal to the same number decreased by 2. what is the equation

Answers

Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

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Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes

Answers

The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.

What is a normal distribution?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.

Consider a shipment of 1500 boxes of rice.

Then the number of the boxes will weigh 18 ounces or less will be

z = (18 - 20) / 1.5

z = -1.33

Then the probability will be

P(x ≤ 18) = P(z ≤ -1.33)

P(x ≤ 18) = 1 - P(z > -1.33)

P(x ≤ 18) = 1 - [1 - P(z < -1.33)]

P(x ≤ 18) = P(z < -1.33)

P(x ≤ 18) = 0.091211

Then the number of the boxes will weigh 18 ounces or less will be

⇒ 0.091211 x 1500

⇒ 136.8

approximately 138 boxes.

Then the correct option is A.

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1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary)​

Answers

Answer:

20% of sales : $1000

and salary+commission : $1000+ 600

So total salary : $1600

The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December was 212°F. Which of the cities in the table, if any, had a lower December temperature than Toledo? Explain your reasoning.

Please this is urgent, please.

Answers

Of these cities, the place that has the lowest temperature than Toledo is Youngstown.

What is the temperature of Youngstown?

The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.

Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.

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The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next four numbers in the pattern?

A - 7, 8, 9, 18
B - 12, 13, 26 27
C - 7, 14, 15, 30
D - 12 14. 28, 28

Answers

Answer:

C

Step-by-step explanation:

Remark

You must do the changes in order. Add 1 then multiply by 2

First entry: 6Add 1: 6 + 1 = 7Multiply by 2 = 2*7 = 14Add 1: 14 + 1 = 15Multiply by 2: 15 * 2 = 30

Answer: 7 14 15 30

Find the measure of the angle between u = 6i - 3j and
v = 2i+j to the nearest tenth of a degree.

Answers

Answer:

θ = 53.1°  (to the nearest tenth)

Step-by-step explanation:

FORMULA :

Let θ be the measure of the angle between U and V :

[tex]\cos \theta =\frac{\overrightarrow{U} .\overrightarrow{V} }{\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert }[/tex]

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

[tex]\overrightarrow{U} \times \overrightarrow{V} =6\times 2+\left( -3\right) \times 1=9[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{6^{2}+\left( -3\right)^{2} } =\sqrt{45} =3\sqrt{5}[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{2^{2}+\left( 1\right)^{2} } =\sqrt{5}[/tex]

[tex]\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert =3\sqrt{5} \times \sqrt{5} = 15[/tex]

…………………………………………………

Then

[tex]\cos \theta =\frac{9}{15} =\frac{3}{5}[/tex]

[tex]\theta =\cos^{-1} \left( \frac{3}{5} \right) =53.130102354156[/tex]

41 Buying music
LV
Dave loves music. He wants to listen to his favorite
singer's new CD. So he goes to Itunes and buys his
songs. One song costs 1,29 € and the album 9,99 €.
There are 8 songs on the album.
. What's the best choice?

Answers

Answer:

theUse the Distance and Midpoint Formulas to find the length and midpoint of the segments with indicated endpoints. Show your solution and answer inside the box.

Endpoints

Distance

 

Midpoint

1. (-5,8) and (9,4)

   

2. (6 ,- 3) and (10,11)

   

3. (2,1) and (-16,13)

   

4. (3,0) and (9 ,- 13)

        

5. (-3 ,- 10) & (-7 ,- 2)

Find the area of the polygon with vertices of A(2, 2), B(2, 7), C(8, 7),
and D(4, 2)

Answers

Answer:

20 units²  

Step-by-step explanation:

a prototype rocket burns 159 gallons of liquid hydrogen fuel each second during a regular launch. Make a table that shows how many gallons of fuel are burned after 2,3,5 and 10 seconds.

Answers

Answer:

Seconds:  2    ||  3     || 5     || 10     ||

---------------------||-------||--------||--------||

Gallons:   312  || 486 || 780 || 1560 ||

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