The volume of this rectangular prism is 2,016 cubic millimeters. What is the value of y?

The Volume Of This Rectangular Prism Is 2,016 Cubic Millimeters. What Is The Value Of Y?

Answers

Answer 1

Answer:

y = 12 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 2,016 mm³l = 14 mmw = 12 mmh = y mm

Substitute the values above and solve for y:

2,016 = 14 × 12 × y

2,016 = 168y

2,016/168 = 1395v/168

12 = y

Final answer: 12 mm

Hope this helps!


Related Questions

Combine the like terms to create an equivalent expression.
2q+2+92

Answers

Answer:

2q + 94

Step-by-step explanation:

2q + 2 + 92 ← collect like terms

= 2q + (2 + 92)

= 2q + 94

Answer:

2q + 94

Step-by-step explanation:

2q + 2 + 92

Reorder and group

2q + (2 + 92)

Caculate

2q + 94

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What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i? f(x) = x2 – 2x 2 f(x) = x3 – x2 4x – 2 f(x) = x3 – 3x2 4x – 2 f(x) = x2 – x 2

Answers

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

Polynomial function

These are function with leading degree of 3 and above

Given the standard polynomial function of degree 3

ax³+bx²+cx+d

The leading coefficient is "a"

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

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Solve the following literal equation for y 16=2y-4x

Answers

Answer:

y=2x+8

Step-by-step explanation:

Move 4x to other side and divide everything by 2

Prove the following tan^2 A/(tan A -1 )+ cot A/(1 - tan A)=1 +sec A cosec A



In Image, Question is No.4 (vi)

Answers

See below for the proof of the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

How to prove the trigonometry identity?

The trigonometry equation is given as:

[tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite the equation as:

[tex]\frac{\tan^2(A) }{\tan(A) - 1} - \frac{\cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^2(A) - \cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Express cot(A) as 1/tan(A)

[tex]\frac{\tan^2(A) - \frac{1}{\tan(A)}}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^3(A) - 1}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Apply the difference of two cubes on the numerator

[tex]\frac{(\tan(A) - 1)(\tan^2(A) + \tan(A) + 1)}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Cancel out the common factors

[tex]\frac{\tan^2(A) + \tan(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite as:

[tex]\frac{\tan(A) + \tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Split the fraction

[tex]1 + \frac{\tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Express [tex]\tan^2(A) + 1[/tex] as [tex]\sec^2(A)[/tex]

[tex]1 + \frac{sec^2(A)}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Divide [tex]\sec^2(A)[/tex] by [tex]\tan(A)[/tex]

[tex]1 + \frac{1}{\sin(A)\cos(A)} = 1 + \sec(A)\csc(A)[/tex]

Take the inverse of sin and cosine

[tex]1 + \sec(A)\csc(A) = 1 + \sec(A)\csc(A)[/tex]

Both sides of the equation are the same.

Hence, the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex] has been proved

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Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees

Answers

Answer:

12.56 units²

Step-by-step explanation:

Area of sector :

πr² x θ/360π(6)² x 40/36036π x  1/93.14 x 412.56 units²

Problem 4.2
A textbook has 428 numbered pages, starting with 1.



A textbook has 428 numbered pages, starting with 1.

You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to an even-numbered page?

Answers

Answer:

50%

half of the numbers are even

Step-by-step explanation:

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

E: when looking at the line it starts from 0-1 and we’re looking for 0.97 which is 0.03 away from 1 meaning it’s going to be the closest to one
The answers to that one is e

POINTS!!! Answer both 3 and 4 PLEASE

Answers

Answer:

yes not function because 1 is repeated

Number 3 is a function because for every INPUT there is has only one output.
Number 4 isn’t a function because the input 1 has two values as the output therefore it isn’t a function.

Evaluate
6x+4y-z. X:4,y:-2,z:3

Answers

Step-by-step explanation:

x = 4

y = -2

z = 3

= 6x + 4y - z

= 6.4 + 4.-2 - 3

= 24 - 8 - 3

= 13

Please, please help. Unit test is due. (K12 User)


​△ACB​ is bisected by CP←→. m∠PCB=65° and PB=11 ft.

What is the approximate area of each half of ​△ACB​ ?


28 ft²

56 ft²

67 ft²

143 ft²

Answers

The approximate area of each half of ​△ACB is 28 square feet

Area of a triangle

The formula for calculating the area of a triangle is expressed as:

A = 0.5absintheta

Given the following

PB =11ft

<PCB = 65degrees

Using the SOH CAH TOA identity

tan<PCB = 11/CP
CP = 11/tan65
CP = 5.13 ft

Determine the required area

Area = 0.5(11)(5.13)sin90

Area = 5.5 * 5.13

Area . = 28 square ft

Hence the approximate area of each half of ​△ACB is 28 square feet

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How many different trains can you make of length three?

Answers

Using the combination formula, and supposing that you have n parts, it is found that the number of trains you can make is of:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

The order in which the parts are taken is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 parts are taken from a set of n, hence the total number of trains is given by:

[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]

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For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.

Answers

Answer: -4 and 9

Step-by-step explanation:

Bob is throwing a party. He has 22 pints of soda. At the end of the party, there are 8
pints of soda.
How many cups of soda were drank during the party?

Answers

Answer:

14

Step-by-step explanation:

If Bob has 22 pints, and one glass is one pint, the 22-8 = 14

Answer:

14

Step-by-step explanation:

you would subtract 8 pints of soda left from the total pints which is 22 to get 14 pints used during the party

22-8=14

Janet and Bill leave their home at the same time, Janet has 60 miles to travel and drives at 40 mph. Bill has 80 miles to travel and also drives at 40 mph.
a) How long does Janet's journey take?
b) How much longer does Bill spend driving than Janet?

Answers

Answer:

Question 1 = 1 hour 30 minutes

Question 2 = he spent 30 more minutes driving

Step-by-step explanation:

time = distance ÷ speed

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time.

a) Janet's journey:

40 = 60 / t

4ot = 60

t = 60/40 = 1 1/2 hours.

Janet's journey takes 1 1/2 hours.

b)  Bills journey:

40 = 80/t

t = 80/40 = 2 hours.

Bill travels for 1/2 hour more than Janet.

The half-life of a radioactive kind of praseodymium is 17 minutes. If you start with 56 grams of it, how much will be left after 34 minutes?
grams

Answers

Answer:

14 gm

Step-by-step explanation:

34 minutes is TWO half lives   1/2 * 1/2 = 1/4   will be left

   1/4 * 56 = 14 gm

Segment side a e is 7 inches and side a h is 7 startroot 3 endroot inches. what is the length of side e h? round to the nearest tenth. a cube. the top face has points a, b, d, c. the bottom face has points e, f, h, g. 7.0 inches 9.9 inches 12.1 inches 14.0 inches

Answers

The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches

How to use Pythagoras theorem?

Pythagoras theorem can be used to find eh.

Therefore,

c²= a² + b²

where

c = hypotenuse sidea and b are the other two legs.

Therefore,

AE = 7 inches

AH = 7√3 inches

Therefore,

EH² = ( 7√3 )² - 7²

EH²  = 147 - 49

EH = √98

EH = 9.89949493661

EH = 9.9 inches

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Answer: ITS BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

a shoe company needs to create a shoe box...

Answers

Answer:

Step-by-step explanation:

21/7=3

5*3=15 width

3*3=9 height

Please simplify this!

Answers

Answer:

May be the answer is 5 . I don't think it's the answer .

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. the total area of her yard is 1,000 m2. what is the approximate width of her backyard? a = lw 11.2 m 15.8 m 22.4 m 44.8 m

Answers

The approximate width of Alice's backyard is 22.36 in.

Choose the answer 22.4

Someone help please.its really important

Answers

Answer:  Angle Y is 90 degrees, angle X is 35.  

Answer:x=35 and y=35

Step-by-step explanation:

Angle on straight line =180

so 180/2=90

90-55=35

and x and y opposite angle so are eqaul

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. it crosses the y-axis at (0, 4). what is the initial value of the exponential function shown on the graph? 0 1 2 4

Answers

Answer:

its 4

Step-by-step explanation:

trust me bro im a geinus

The initial value of the exponential function shown on the graph should be 4.

What is an exponential function?

The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable in the exponent and the real number in the base.

In this case, the exponential function is:

F(X)=Y

Knowing that the given points correspond to X=0 and Y= 4, when placing in the formula of the function, one finds:

F(0)=4

F(4)=0

So, the initial value of the exponential function shown on the graph should be 4.

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Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14

Answers

Answer:

O -x+y=-2

Step-by-step explanation:

-x + y = -5

⇔ y = x - 5

a line parallel to y = x - 5 must have the same slope as the line y = x - 5

Then

The equation of the parallel line is of the form : y = x + p

Finding p :

the point (-6,-8) lies on the parallel line means :

-8 = -6 + p

Then

p = -8 + 6 = -2

Finally :

y = x - 2 ⇔ -x + y = -2

#57 will give brainliest to the best answer. please explain

Answers

Answer:

(x+y)(z+1)

Step-by-step explanation:

trust me .......

Answer:

(x+y) (z+1)

Step-by-step explanation:

xz + x + yz + y

- group the first two terms and the last two terms.

(xz + x ) + yz + y

- factor out the greatest common factor (GCF) from each group.

x (z + 1) + y (z + 1)

- factor the polynomial by factoring out the greatest common factor, z + 1.

(x+y) (z+1)

what is the surface area of a rectangular prism that has a length of 5 cm, a height of 14 cm, and a width of 12 cm? a. 298 cm2 b. 378 cm2 c. 616 cm2 d. 596 cm2

Answers

Answer:

sorry for being late but the answer is c 616 cm

Step-by-step explanation:

Would somebody be willing to help me please! I really need to pass this lesson!!

Answers

Answer:

x= -2 y= 36 (-2. 36)

x = -1 y = 6 (-1, 6)

x = 1 y = [tex]\frac{1}{6}[/tex] (1, [tex]\frac{1}{6}[/tex])

Step-by-step explanation:

Our function is [tex]y = (\frac{1}{6})^x[/tex]

all we need to do is fill in our x (given in the table) to solve for y

[tex]y = (\frac{1}{6})^{-2}[/tex]

[tex]y = 36[/tex]

[tex]y = (\frac{1}{6})^{-1}[/tex]

[tex]y = 6[/tex]

[tex]y = (\frac{1}{6})^1 = \frac{1}{6}[/tex]

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Explanation:

f(x) = (x-4)(x+2)

1) For x-intercept, y will be 0

(x-4)(x+2) = 0(x-4) =0, (x+2) = 0x = 4, x = -2

x-intercept: (4, 0), (-2, 0)

2) For vertex: x = -b/2a where ax² + bx + c

Quadratic function:

(x-4)(x+2)x² +2x-4x -8x² -2x -8

vertex:

x = -(-2)/2(1)x = 1

y: (x-4)(x+2) = (1-4)(1+2) = -9

ordered pair of vertex: (1, -9)

3) For y-intercept, x will be 0

(x-4)(x+2)(0-4)(0+2)-8

y-intercept: (0, -8)

Answer:

(4, 0) and (-2, 0)(1, -9)(0, -8)

Step-by-step explanation:

Q1 : Finding x-intercepts

Take f(x) to be 0, because the intercepts lie on the x-axis0 = (x - 4)(x + 2)x = 4 and x = -2The x-intercepts are : (4, 0) and (-2, 0)

Q2

Coordinates of vertex are : (h, k)Expand the polynomialx² - 2x - 8h = -b/2a = 2/2 = 1k = -D/4aD = b² - 4ac = 4 - 4(1)(-8) = 4 + 32 = 36k = -36/4 = -9The vertex is : (1, -9)

Q3

Take x = 0y = 0² - 2(0) - 8y = -8y-intercept is : (0, -8)

Simplify the expression.
-81 ÷ (-9)
Please help

Answers

Answer:

-81/-9

both minus will be cut so

81/9

9

Step-by-step explanation:

the answer is 9


Solve for y y/8 = 4

Answers

Answer:

32

Step-by-step explanation:

Multiply both sides by 8.

y/8 = 4

y/8 × 8 = 4 × 8

y = 32

Elias was given a lock for his school locker. The lock contains numbers between
O and 59 (60 different numbers). If 3 numbers are used to unlock the lock, and
the numbers can't repeat, how many codes can his lock have?

Answers

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

[tex]\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220[/tex]

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

2 1/6 - (-8/3) + (-4 7/9) what does it eqaul i cant figure it out

Answers

Answer:

- 95/18

Step-by-step explanation:

1st you have to convert the mixed number to an improper fraction so 2 ×6 = 12 +1 = 13 and that together equals 13/6 same goes for the next take away the parentheses 13/6 - 8/3 - 4 7/9

then you have to do the same thing with the 1st fraction convert it 4 × 9 = 36 + 7 = 43 that equals together 43/9

lastly you have to calculate the difference 13/6 - 8/3 - 43/9 and that equals negative 95/18

by the way the 95 isnt a negative the fraction itself is

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