Write an expression, in its simplest form, for the volume of this cuboid

Write An Expression, In Its Simplest Form, For The Volume Of This Cuboid

Answers

Answer 1

Answer:

[tex]V=10x^2+35x+15[/tex]

Step-by-step explanation:

Given that,

Length = (2x+1)

Width = (x+3)

Height = 5

We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :

[tex]V=lbh[/tex]

So,

[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]

So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].


Related Questions

An amusement park sold 38 discount tickets and 12 full-price tickets. What percentage of the tickets sold were discount tickets?

Answers

76%

38+12 is 50
38 divided by 50 = 0.76 so
76% of tickets were discounted...

The number of peopie that have "liked" Mindy's Candy Store web

site can be represented by y = 270(1.65), where t is the number of weeks after a

review in a national magazine. Interpret the parameters of the equation. Make a

prediction about the future number of likes on the web site.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that, the number of people who liked Mindy's website is given by :

270(1.65)^t ; t = number of weeks after a review

Interpreting the equation :

The equation represents an exponential growth function :

y = a(1 + r)^t

a = initial amount ; r = growth rate ; t = period

Comparing the function with the equation given ;

270 = a = number of people who liked the website before the review

1 + r = 1.65

r = 1.65 - 1

r = 0.65 ; 0.65 * 100% = 65%

Site grew at a rate of 65% per week after review

Ther predicted number of likes 2 weeks after the review :

y = 270(1.65)^2

y = 270 * 2.7225

y = 735.075

Hence, number of likes after 2 weeks = 735

Can someone help me please?

Answers

Answer: pull the upper right hand corner (of the smaller box) all the way to the upper right hand corner of the bigger box, then pull the upper left hand corner of the smaller box all the way over to the other side but leave two squares on the end, this gives you 18 boxes across the top which works since 2cm is three boxes. make sure each side of the square has 18 boxes and you’ll be good

Step-by-step explanation:

can you guys help me please as much as you can ^^

Answers

Answer:

Step-by-step explanation:

m<1 = 50

m<2 = 22

m<3 = 108

m<4 = 50

m<5 = 65

m<6 = 50

m<7 = 43

m<8 = 65

m<9 = 75

m<10 = 18

m<11 = 25

m<12 = 40

m<13 = 115

m<14 = 65

m15 = 115

What are the next three terms of this pattern?

- 4, - 7, - 2, -5, 0, __, __, __

Answers

Answer:

-4, -7, -2, -5, 0, -3, 2, -1

Step-by-step explanation:

the pattern is -3, +5.

i hope this helps :)

Consider the radical equation c+22 = c + 2. Which statement is true about the solutions c = 3 and c =-6?
The solution c = 3 is an extraneous solution.
The solution c = -6 is an extraneous solution.
Both c = 3 and c = -6 are true solutions.
Neither are true solutions to the equation.

Answers

howdy!!

the answer for yr question is B!!!!

goodluck<3

Sombody please help ASAP!​

Answers

Answer:

a translation down 9 unit

Step-by-step explanation:

EXTREMELY IMPORTANT! HELP SOMEONE CORRECT!!!!

Answers

Answer: 891ft just did this

Step-by-step explanation:

Answer: 891ft I think.

Step-by-step explanation:

2000 x 0.045 x 7 =
5000 x 0.07 x 20 =
28000 x 0.09 x 1 =
7500 x 0.035 x 2 =
4000 x 0.045 x 2.5 =

Answers

Answer:

639.8

7000

2520

525

450

..........

Find the exact value of cos 135° sin15°.

Answers

Answer:

its cos 50

Step-by-step explanation:

amen

A blue circular target is tacked onto a square corkboard. The area of the target is 75 square units. What is the area of the corkboard that is not covered by the target?

Answers

The Correct Answer Is 25 Square Units

write solutions to the systems of inequalities that should lie on the double- shade region​

Answers

Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

Can someone answer all of them? Tysm!​

Answers

In a river bank

you can put the answers from the end

1.) 1/12

2.) 2/13

3.) 8/41

4.) 1/4

5.) 11/74

6.) 2/35

7.) 15/58

8.) 5/18

9.) 1/7

10.) 1/13

Number 5 please helpppppppppp 10 points

Answers

The answer will be d

Ethel had 4 feet of ribbion she used 1 1/2 feet for a craft project how many feet of ribbon does she have left

Answers

your answer to this question is that she will have 2 1/2 feet left of ribbon

Help ASAP please!!!!!

Answers

51in

Step-by-step explanation:

15x5=75

8x3=24

75-25=51

Answer:

hi

Step-by-step explanation:

the area of the little rectangle:

3 in × 8 in= 24 in

tge area of the shaded ragion:

5in × 15in =75in

75in - 24 in=51 in

hope it helps

have a nice day

hi please help i’ll give brainliest

Answers

Answer:

Choice D

Step-by-step explanation:

I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.

200% of what number is 350?

Answers

Answer:

The answer is 175

Which graph shows a function where f(2)=4?

Answers

Answer:

A

Step-by-step explanation:

Answer:

the one that is a horizontal straight line on x axis that lies on 2

A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?

Answers

Answer:

Perimeter of pizza slice = 27.85 inches (Approx.)

Step-by-step explanation:

Given:

Diameter of pizza = 20 inches

So,

Radius of pizza slice = Diameter of pizza / 2

Radius of pizza slice = 20 / 2 = 10 inches

∠IPZ = 45°

Find:

Perimeter of pizza slice

Computation:

Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]

Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]

Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]

Perimeter of pizza slice = 20 + [0.125][62.8]

Perimeter of pizza slice = 20 + 7.85

Perimeter of pizza slice = 27.85 inches (Approx.)

The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we're given that:

Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inches

Not using the above formula, but the concept, we know that:

360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).

Since diameter of pizza = 20 inches, its radius r = 10 inches.

Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]

Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP

Since line IP and ZP are radius, thus:

Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.

Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.

Learn more about angle, arc length relation here:

https://brainly.com/question/15451496

What is the image of (-10,-8) after a dilation by a scale factor of 1/2 centered at the
origin?

Answers

Answer:

(-5, -4)

Step-by-step explanation:

A dilation at the origin would just result with you multiplying the coordinates by the scale factor.

-10 * 1/2 and -8 * 1/2

solve for x round to your nearest tenth

Answers

Answer:

x ≈ 5.98

Steps:

tan(50.1°) = x/5

1.19.. = x/5

x = 5 × 1.19 ..

x = 5.97.. ≈ 5.98

Solve Systems of Equations Algebraically.
y=x-8
y=5x

Answers

Answer:

(- 2, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 8 → (1)

y = 5x → (2)

Substitute y = 5x into (1)

5x = x - 8 ( subtract x from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Substitute x = - 2 into either of the 2 equations for y

Substituting into (1)

y = - 2 - 8 = - 10

solution is (- 2, - 10 )

Which equation represents a line that passes through the two points in the
table?
A. y-3 = 2/3(x-3)
B. y+3 = 3/2(x+3)
C. y-3 = 3/2(x-2)
D. y+3 = 2/3(x+3)

Answers

(3,3) and (6,5)
find slope
5-3/6-3=2-3=m so the answer is either a or d

now for point slope (3,3) was used so the correct equation would be
y-3=2/3(x-3) which is a!!

2. please help me i will give brainliest if ur right

Answers

Answer:

Is this high school math or middle school?.

Step-by-step explanation:

a²+b² = c²

8²+2²

↓    ↓

64+4

   ↓

square root 68 and it should give you 8.24 and then you round.

Line with a slope of -3 and passes through
point (-1,7)

Answers

Answer:

y=-3x+5.5

Step-by-step explanation:

The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!

PLEASEEEEE ILL MARK BRAINIEST

Answers

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

How much money would produce $70 as simple interest at 3.5% per
annum?

Answers

Answer:

$2000

Step-by-step explanation:

Simple Interest = $70

Rate = 3.5%

Time = 1

Principal = ?

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (70 × 100)/(3.5 × 1)

Principal = 7000/3.5

Principal = 14000/7

Principal = 2000

Find the area of each trapezoid. Write your answer as an integer or a simplified radical

Answers

Answer: there is no picture

Please help I need this quickly

Answers

Answer:

31 degrees

Step-by-step explanation:

1. since angle x and angle y are congruent, and segment xw and segment yw are congruent, you can assume that angle xzw and angle wzy are also congruent.

2. set angle xzw and angle wzy equal to each other

8x-1 = 5x+11

3. combine like terms

3x = 12

4. simplify to find the value of x

x = 4

5. plug x into the equation to find the degree of angle wzy

5(4)+11

20+11

=31 degrees

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