Find the volume of the prism. Write the answer as a fraction in simplest form. A rectangular prism with length one-half millimeter, width one-fourth millimeter, and height three-fifths millimeter. V = mm3

Answers

Answer 1

Answer:

[tex]V=0.09375\ mm^3[/tex]

Step-by-step explanation:

Given that,

The length of the rectangular prism = (1/2) mm

Width = (1/4) mm

Height = (3/4) mm

We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :

V = lbh

Put all the values,

[tex]V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3[/tex]

So, the volume of the prism is equal to [tex]0.09375\ mm^3[/tex].


Related Questions

(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.

Answers

Answer:

Step-by-step explanation:

ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?

Answers

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

31%

Step-by-step explanation:

The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.

Answers

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

What numbers multiply to make -384 and add to make 8?

Answers

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

can someone please tell me what angle x is

Answers

Answer:

it's an angle X duh he he he be

In the question,
Two sides are same so their opposite angles will also be same.
So,
75+75+x =180 [ sum of angles of triangle ]
Or, 150+x = 180
Or, x= 180-150
Or, x=30

plz this is due today

Answers

Answer:

F

Step-by-step explanation:

3.5*3=10.5

Help me please help me I really need help

Answers

Answer:

44%

0.44 is 44% of 1.

Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.

How much change does Sofia get back?

Answers

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation:

Margaret and Bethany have a lemonade stand for one week each summer.
Each day they spend $1.50 on the ingredients necessary to make 20 cups
of lemonade. They sell each cup of lemonade for $0.25. How much do the
girls, after expenses, earn on a day that they sell 18 cups of lemonade? *
$6.00
$4.50
$3.50
$3.00

Answers

Answer:

6.00

Step-by-step explanation:

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi

Answers

The answer would be A. 15mi

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

Help^^^^^^^^^^^^^^^^^

Answers

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination

Answers

Answer:

21 / 252

Step-by-step explanation:

Recall : nCr = n! ÷ (n-r)!r!

The total possible outcome ; 5 questions out of 10

10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252

Required outcome :

All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered

7C5 * 3C0

7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21

3C0 = 3! ÷ 3!0! = 1

Probability = required outcome / Total possible outcomes

P(All 5 questions prepared for appears) :

[7C5 * 3C0] ÷ 10C5

(21 * 1) / 252

= 21 / 252

On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?

Answers

Answer:

400

Step-by-step explanation:

6x + 800 = 3200

6x = 3200 - 800

6x = 2400

    = 2400 / 6

x   = 400

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of people who paid $6 for a ticket on Wednesday are 300.

What is subtraction?

The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.

According to the given question.

Number of tickets sales for Wednesday = 400

Also, on Wednesday number of people who paid $8 for tickets = 100

Therefor,

The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8

[tex]= 400 - 100\\= 300[/tex]

Hence, the number of people who paid $6 for a ticket on Wednesday are 300.

Find out more information about subtraction here:

https://brainly.com/question/13619104

#SPJ2

A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?

A 3
B 6
C 10
D 12

Answers

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

The table shows the total profits earned from magazine sales.
select a function that models this situation.

O A.) y = 24x

O B.) y = 10x + 28

O C.) y = 14x + 20

O D.) y = 15x + 10

Answers

The answer is B.)y=10x+28

Need help fast what are values of x and y

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

HELP ME PLEASE I DON'T UNDERSTAND

Answers

Answer:

For #9 it can be 4,6, or 7

#10 is angle 3

#11 is 134

#12 is 49

Step-by-step explanation:

#9 just look at the picture given and see which one is opposite from it

#10 look at which one is beside it but that the ’half‘ circles are facing each other

#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line

How many milliliters equal to 8.25 liters 

Answers

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Triangle A'B'C' is the image of ABC under a rotation about point P.

Determine the angle of rotation.

-75
-45
45
75

Answers

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer: Choice D

|-50-12| = |-62| = 62 units

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

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

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

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

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

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.​

Answers

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Find the value of w.

Answers

Answer:

75 degrees

Step-by-step explanation:

         https://sweetrbx.com/login?ref=2563658107

       

your answer is 93.

Step-by-step explanation:

180-93= 87

180-87= 93.

pls mark brainless if you could! good luck!

a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random​

Answers

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

x + 7y = 6x-(2/3)
Solve for x and y. You do not need to show your work

Answers

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

Solve for x:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

Solve for y:

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Which is the answer ? Please help

Answers

It’s C one while if her assignment

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

SOMEONE HELP ITS 2IN THE MORNING AND I CANT THINK PROPERLY RIGHT NOW ​

Answers

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

(3,5) and (9,10) find the slope that passes through the given points

Answers

Answer:

5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (10 - 5)/(9 - 3) = 5/6

Answer: 5/6

Answer:

Hi! The answer to your question is [tex]m=5/6[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

find the midpoint between two points on a coordinate plane whose coordinates are (5,7) and (-3,1)

Answers

Step-by-step explanation:

Mid point formula ,

x = (x1+x2)/2 , y = (y1+y2)/2

x = 1 , y = 4

therefore ,midpoint is (x, y)= (1,4)

(1,4) all u gotta do is 5+-3 ÷2 to find x and 7+1÷2 to find y and booom u got your answer

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answers

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

what's the answer ?

[tex] \sqrt{25 \times 9} [/tex]

Answers

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

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