what is the volume of this cuboid?
Please help me!!!?!

What Is The Volume Of This Cuboid?Please Help Me!!!?!

Answers

Answer 1

The formula of a volume of a cuboid:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have:

l = (x + 4) cm

w = (x + 1) cm

h = 3 cm

Substitute:

[tex]V=(x+4)(x+1)(3)[/tex]      use distributive property

[tex]V=(x+4)(3x+3)[/tex]

[tex]V=(x)(3x)+(x)(3)+(4)(3x)+(4)(3)[/tex]

[tex]V=3x^2+3x+12x+12[/tex]      combine like terms

[tex]\boxed{V=3x^2+15x+12}[/tex]


Related Questions

a cable on a crane measures 89 yards feet how much total would be on 14 idenicial cranes convert you answer into larger units

Answers

Answer:

If you mean it's 89 feet, the answer is 415.3333 yards.

If you mean it's 89 yards, the answer is 1246 yards.

Step-by-step explanation:

Multiply 14 and 89 to get the distance of 14 identical cranes.

Since your question had two types of distance,

Feet: Divide by 3 since the conversion of feet to yards is 1/3.

Yards: Don't convert to a mile, as a mile is alot larger, and you will have a small answer.

Hope this helps.

Final answer:

The total length of cable on 14 identical cranes, each with a cable 89 yards long, would be approximately 0.71 miles.

Explanation:

The question you're asking involves measurement conversion and multiplication. If each cable is 89 yards long, and one yard is equivalent to 3 feet, then we first need to convert the length of each cable into feet. Therefore, 89 yards equal to 89*3 = 267 feet. Thereafter, to determine the total length of cable that 14 identical cranes would have, we simply multiply 267 feet by 14, which gives us 3,738 feet.

Bigger unit for feet is in miles, and we know 1 mile is equal to 5,280 feet, so to convert the total feet to miles, you divide the total length in feet by the number of feet in a mile. Hence 3,738 divided by 5,280 equals approximately 0.71 miles.

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kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receive if she exchanged 16 yuan at a rate of 8 yuan for $1

Answers

She received $2
--
8x2= 16
So if 8 yuan equals $1 then 16 divided by 8 would be $2, hope this helped.
She will revive $2 because 16 I love you by 8 would be 2.

help please guys I need help with this question I'm stuck

Answers

Here you go !!!
Hope this helps

Answer:

5:3 AND 10:6

Step-by-step explanation:

_________________[tex]Hope this helps! <3[/tex]_____________________________

V= 2i +9j Find ||9v||

Answers

Answer:

9[tex]\sqrt{85}[/tex]

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = [tex]\sqrt{18^2+81^2}[/tex] = [tex]\sqrt{x6885}[/tex] = 9[tex]\sqrt{85}[/tex]


perform the indicated operation a-a^4/a^2+a+1

Answers

Final answer:

To simplify the given expression, subtract the terms in the numerator, and then simplify the terms in the denominator. Finally, divide the numerator by the denominator.

Explanation:

To perform the indicated operation a-a^4/a^2+a+1, we need to simplify the expression using the order of operations. First, we simplify the terms in the numerator: a - a^4. Then, we simplify the terms in the denominator: a^2 + a + 1. Finally, we divide the simplified numerator by the simplified denominator to get the final answer.

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Final answer:

To perform the given operation, we need to follow the order of operations and simplify the exponents before performing the division, addition, and subtraction.

Explanation:

To perform the indicated operation a - a^4 / a^2 + a + 1, we need to follow the order of operations, which is often remembered using the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Simplify the exponents: a^4 = a * a * a * a and a^2 = a * a.Perform the division: a^4 / a^2.Perform the addition: a^2 + a + 1.Perform the subtraction: a - (result of division) / (result of addition).

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What is the axis of symmetry and vertex given the equation,
y=2x^2-12x+21

Answers

y = 2x² - 12x + 21 = 2(x² + 6x) + 21.

Using the complet the square method, you get:

2(x² + 6x) + 21 = 2(x² + 6x + 9) - 2*9 + 21 = 2(x + 3)² + 3.

So the axis of symmetry is: x = -3.

The vertex is: (-3, 3)

Answer: 2(x + 3)² + 3

Explanation: Axis of symmetry: x = -3 Vertex: (-3, 3)

A car salesman has
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?



Answers

Answer: Total price of all 5 cars = $35000.

Step-by-step explanation:

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

Therefore, Total price of all 5 cars = 7000 × 5 = $35000.

Final answer:

The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).

Explanation:

The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.

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plz help me Thx so much

Answers

Answer:

shipping and handling is 18.90 dollars

Step-by-step explanation:

percent means "per one hundred", so any percent can be written as a fraction over 100

30% = 30/100 = 0.30

Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.

Answer:

18.90

Step-by-step explanation:

We need to figure out the cost of shipping and handling

shipping and handling = original price * percent

                                     = 63* .3

                                     =18.90



Need help with the top part and please explain

Answers

Answer:

Hope this helps!

Step-by-step explanation:

y=6x+4 is linear but not proportional because it doesn't have any exponents causing it to be Linear ....it is not proportional  because it is not in y=mx form

y=8x is linear and proportional because it is in y=mx form and doesn't have any exponents

y=x-3 is linear and not proportional because it is not in y=mx form it is not proportional ..... it is linear because it has no exponents  

y=9x^2+1 is not linear and is not  proportional....it is not linear because it has an exponent and not proportional because it is not in y=mx form  

can someone help me out?

Answers

4x=7+3(-3)= x = -1/2

2x = 7+3(-5) = -4

4x=7+6x-15 = 4

Daisha finished her homework at 5:05 after spending 40 minutes on her homework what time did Daisha start her homework show your strategy below

Answers

Answer:

Daisha started her homework at 4:25

Step-by-step explanation:

I first take off the 5 minutes after 5:00 (i will add it back later)

Then i subtract 40 from 60 (60 minutes = 1 hour) and 20 minutes is left.

i then add the 5 minutes to the 20 minutes and get 25 minutes.

Since she had already been doing her homework for 40 min. and was not about to do it, i can say she started at 4:25.

make brainliest please

What is a real world problem for 2(n+20)=110

Answers

Final answer:

To solve the algebraic equation '2(n+20)=110', we first divide by 2, yielding 'n+20=55', and then subtract 20 to find 'n=35'. A real-world example could be calculating an initial inventory of items before doubling and adding 20 to reach a target inventory.

Explanation:

The student's question, 'What is a real world problem for 2(n+20)=110?' can be seen as a basic algebra question. To solve for n, we start by dividing both sides of the equation by 2, giving us n+20 = 55. Then we subtract 20 from both sides, which leaves us with n = 35.

A real-world interpretation of this equation could be a scenario where someone has twice the number of objects plus an additional 20 objects, and they want to end up with 110 objects in total. To find out the original number of objects, they would perform the calculations above. In this case, the real-world problem could involve an initial inventory of 35 items that needs to be doubled and then 20 more added to achieve a target inventory of 110 items.

what’s the best answer

Answers

Answer:

x = 60°y = 60°

Step-by-step explanation:


it looks like an isosceles triangle, but is an equilateral triangle, 3 equal sides and 3 equal angles, you have the value of 120°, and the interior angle is 60° (180 - 120 = 60°), this angle is equal to angle y.

y = 60*

the sum of the interior angles of a triangle is 180°

180 - 60 - 60 = 60°

x = 60°


Let x = 6.

What is the value of the expression 5x^2+x−7 ?

the 2 is a exponent. The ^ Symbol means an exponent 40points!

Answers

Put the value of x = 6 to the eqpression 5x² + x - 7:

5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179

Answer: 179

Which linear inequality represents the solution set graphed?
A) 2y + 3x < 10
B) 2y + 3x > 10
C) 2y − 3x < 10
D) 2y − 3x > 10

Answers

C have a blessed day hope you pass

Answer:

Its A.

Step-by-step explanation:

Because, I have the same question for my test online and the greater than sign with out the under marking is correct.

State the amplitude and period of f(x)= 3cos 9/5 (t)

Answers

Answer:

The period is [tex]\dfrac{10\pi}{9}[/tex] and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function [tex]y=a\cos (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]

Consider the function [tex]f(t)=3\cos \left(\dfrac{9}{5}t\right).[/tex]

The period for the function [tex]f(t)[/tex] is

[tex]T=\dfrac{2\pi}{\frac{9}{5}}=\dfrac{2\pi}{1}\cdot \dfrac{5}{9}=\dfrac{10\pi}{9}[/tex]

and the amplitude is 3.

Final answer:

The amplitude of the function f(x) = 3cos(9/5 t) is 3, and the period is approximately 3.4907 units of time.

Explanation:

The amplitude of the function f(x) = 3cos(9/5 t) is 3. This is because the amplitude A of a cosinusoidal function of the form x(t) = Acos(wt + φ) is the coefficient in front of the cosine, which describes the peak-to-peak swing of the wave.

The period T of the function can be found using the relationship between angular frequency w and the period T, which is T = 2π/w. Here, the angular frequency w is 9/5. Thus, the period T is 2π × (5/9), which simplifies to approximately 3.4907 units of time.

What is the equation in point-slope form of the line that passes through the point (−1, −4) and has a slope of –3

Answers

Point-slope form:

y - y₁ = m(x - x₁)              "m" is the slope


You know:

m = -3

(x₁ , y₁) = (-1, -4)


So you can plug this into the equation:

y - y₁ = m(x - x₁)      

y - (-4) = -3(x - (-1)

y + 4 = -3(x + 1)

Solve the following equation for x.
(x-5)/ 2 = 6

Answers

Answer:

x = 17

Step-by-step explanation:


Answer:

Solve the following equation for x.

(x-5)/ 2 = 6 x=17


A bar of soap weighs 3.8 ounces.The ingredient glycerin makes up 0.4 of the weigh of the soap.What is the weigh of the glycerin in the bar of soap

Answers

Answer:


Step-by-step explanation:

.4/3.8= 10.52/100

the amount of glycerin in the bar of soap is 10.5263158

Answer:

1.52 oz

Step-by-step explanation:

The glycerin makes up 4/10 of the weight of the soap. Since the soap weighs 3.8 oz. then the glycerin makes up

4/10 * 3.8 = 1.52 oz

What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?

A.0.75

B.-0.75

C.0.65

D.-0.65

Answers

Answer:

A. 0.75  

Step-by-step explanation:

The formula for the correlation coefficient r is

[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]

It's easier to use a statistical calculator, but this question probably expects you to do it by hand.

Let’s write a table for easy calculation.

x    y      xy     x²      y²  

15  36   540  225  1296

13  22   286   169   484

12    6     72    144     36

11  20   220    121    400

51 84   1118   659   2216

(Σx)² = 2601

(Σy)² = 7056

[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]

[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]

[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]

[tex]r =\frac{188}{\sqrt{63280}}[/tex]

[tex]r =\frac{188}{251.6}[/tex]

r = 0.747

The graph below shows that there is a poor correlation among the points.

You are a mechanic. You have been given an engine repair job that has a job time of 0.7 hour. About how many minutes should you allow for the job?

Answers

Answer:

42 minutes

Step-by-step explanation:

There are 60 minutes in an hour and we want to find 0.7 of that. Of means multiply so we multiply 60 by 0.7 and we get 42 minutes.

Final answer:

To convert the job time of 0.7 hours to minutes for the engine repair job, multiply it by 60, resulting in an approximate job time of 42 minutes.

Explanation:

You have been given an engine repair job that has a job time of 0.7 hour. To find out how many minutes you should allow for the job, convert hours to minutes. Since there are 60 minutes in one hour, you would perform the following calculation:

Multiply 0.7 (hours) by 60 (minutes per hour).

0.7 hour * 60 minutes/hour = 42 minutes

You should therefore allow for approximately 42 minutes to complete the engine repair job.

What property is d • e • 0 = 0

Answers

Answer:

Zero Product Property

Step-by-step explanation:

The zero product property states that anything multiplied by 0 is 0.

Zero Product Property!

Help please! I don't understand

Answers

−8/5÷−2/3

=−8×3/5×−2

=−24/−10

simplify.

=2 2/5

Avery had $25.88 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet after lunch?
A. $14.38
B. $15.88
C. $15.38
D. $15.68

Answers

Answer:

B

Step-by-step explanation:


At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. What fraction of the footprints measure more than a foot?



A. 11/16


B. 5/8


C. 1/2


D. 9/16

Answers

Answer: Choice B) 5/8

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

Explanation:

There are 10 dots that represent a measurement larger than 1/2 a foot (either the dot is over 5/8 or 3/4 or 7/8). Call this value A, so A = 10.

There are 16 dots total. Call this B, so B = 16.

Divide A over B and then reduce: A/B = 10/16 = 5/8 so that is why the answer is choice B

Coincidentally, we end up with 5/8 but that is not the same as the "5/8" as shown on the chart. It just means that if we had 8 people, the 5 of them would have a foot size larger than half a foot.

Answer:

Step-by-step explanation:

12,192÷48 long division

Answers

The answer is 254, if you don't know how to do the problem I could try to help you if you tell me.

Answer:

254


Hope this helps you!!! :)

what is 265 times 14.? Explain what you did.

Answers

Answer:

3710

Step-by-step explanation:

265 * 14    

multiply 4 by 5, then 4 by 6, then 4 by 2 which would look like this 860

then you multiply 1 by 5, then 1 by 6, then 1 by 2 which should loo like 2650

it looks like that because for every digit you multiply by except the first you add a zero in front of it. then you add those two up which adds up to 3710 you're welcome. :}

Answer:

3,710

Step-by-step explanation:

First, write it in a multiplication form. (staking on top of each other)

First Step: Multiply the 5 and the 4 in the one's column. 20. So regroup the 2 and place the zero under the 4. Then you multiply the 5 and the one. 5. Also ad what you regrouped it to be. 7. Place that number under the 1 in 14.

Second Step: Add a zero in the ones place. Then multiply the 5 and the 1. 5.  Then you multiply the 6 and the 1. 6. Then lastly multiply the 2 and the one.

Third Step: Now add the two numbers to multiplied together to get your final answer.

Have a Nice Winter Break!

:-)

You don't have to mark me as brainliest though.

Pls mark the other person as brainliest!

Carol has a small Copley of a painting. The dimensions of her copy are shown at the right. The scale of the copy is 0.5 inches: 12 centimeter.

Question A) Find the dimensions of the original painting.

Question B) Find the area of the original painting.

Question C) One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet. Round to the nearest thousandth.

Answers

Answer:

Question A: The dimensions of the original painting are 42 cm by 126 cm.

Question B: The area of the original painting is [tex]5292cm^2[/tex]

Question C:  The dimensions of the painting in feet are 1.386 ft by 4.158 ft.

Step-by-step explanation:

Question A:

The scale of the copy is

0.5 inches:12 centimeter.

This means that 1 inch on the scale is 24 centimeters.

Therefore the width of the original painting is:

[tex]1.75*24cm=42cm[/tex]

and the height of is:

[tex]5.25*24cm=126cm[/tex]

Therefore the dimension of the original painting are 42 cm by 126 cm.

Question B;

The area of the original painting is just width multiplied by height:

[tex]Area=42cm*126cm=5292cm^2[/tex]

Question C:

We convert the dimensions of the painting from centimeters to feet:

[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]

[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]

Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.

Answer:

(A) 42 cm by 126 cm.(B) 5,292 square centimeters.(C) 1.386 feet by 4.158 feet

Step-by-step explanation:

The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.

From the given scale we can deduct that 1 inch equals 24 centimeters.

So, the dimensions of the original are

[tex]1.75 \times 24 =42[/tex]

[tex]5.25 \times 24= 126[/tex]

Therefore, the original painting has dimensions 42 cm by 126 cm. (A)

Notice that the original painting is also rectangular, so its area is

[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)

Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are

[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]

Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)

Determine the net force acting on the object (represented by the solid circle) in this diagram
A.100 N to the Right
B.200 N to the left
C.300 N to the left
D.400vN to the Right

Answers

Answer:

I think it is B

Step-by-step explanation:


Approximately how many liters are in 18 quarts

Answers

Answer:18 us liquid quarts =

17.034 liters


Step-by-step explanation:

1 us liquid quart =

0.946 liter



Multiply 0.946 *18 =17.034

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