A rectangular prism has a length of 4 in., a width of 5 in., and a height of 3 1/2in.


The prism is filled with cubes that have edge lengths of 1/2 in.


How many cubes are needed to fill the rectangular prism?

Answers

Answer 1

Step-by-step explanation:

it needs 4×2 = 8 cubes asking the length, 5×2 = 10 cubes along the width, and 3 1/2 × 2 = 7 cubes along the height.

so, altogether

8×10×7 = 560 cubes


Related Questions

The Jurassic Zoo charges ​$7 for each adult admission and ​$5 for each child. The total bill for the 200 people from a school trip was ​$1124. How many adults and how many children went to the​ zoo?

Answers

Answer:

There were 29 adult admissions; and 72 child's.

HELP DUE ON FRIDAY
Some sewing supplies are stored in a container that is 5 inches tall, 7 inches wide, and 12 inches long a. Label the picture of the box with its dimensions b. What is the volume of the box?

Answers

The volume of the box is 420 inches

Bo and Erica are yoga instructors. Between the two of them, they teach 48 yoga classes each week. If Erica teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?

Answers

Answer:
Bo teaches 20 classes per week.
Erica teaches 28 classes per week.
Step-by-step explanation:
Let x= yoga classes taught by Bo
and y=yoga classes taught by Erica
We get the following system of equations
x+y=48 (equation 1)
y=2x-12 (equation 2)
Solve the system of equation:
Using equation 1:
x=48-y
Substitute x in equation 2:
y=2(48-y)-12
=96 - 2y - 12
2y+y=84
3y=84
y=84/3 =28
Substitute in equation 1:
x+28=48
x=48-28=20
So Bo teaches 20 classes per week and Erica teaches 28 classes per week.
Hope this helps :)

Find the perimeter of an
equilateral triangle with
height of 42cm.

Answers

Answer:

The perimeter of an equilateral traingle with height 42cm is 126cm.

Step-by-step explanation:

Given that the height or edge of an equilateral traingle is 42cm. With this information, we are asked to find the perimeter of an equilateral traingle.

The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;

→ Perimeter = 3a

By substituting the given values in the formula, we get the following results:

→ Perimeter = 3(42)

→ Perimeter = 126

Hence, the perimeter of an equilateral traingle with height 42cm is 126cm.

Additional information:

A triangle has three sides or edges.A triangle has three angles.A triangle has three vertices or corners.The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.The sum of the length of any two sides of a triangle is greater than the length of the third side.There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.Area of triangle = 1/2 * b * h.Perimeter of triangle = sum of all sides.

5. Solve for x.
a.
96
b. 87
C.
42
d. 68

Answers

Answer:

68

Step-by-step explanation:

62+50=112

180-112=68

What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11,4}

A. 2

B. 3

C. 7

D. 11

Answers

Answer:

7

Step-by-step explanation:

I took the k12 quiz

Answer:

7

Step-by-step explanation:

I  took the quiz on K-12 the quiz name is 6.04 Quiz: Mean Absolute Deviation (MAD)

Circle A passes through B and circle B passes through A. Given that AB = 3, find the area of the
shaded region common to both circles

Answers

Answer:

The answer is six I think

Graph the line Y minus 5X equals -2

Answers

Answer:

Step 1. Rewrite in the form of y=mx+b

Step 2. Find and plot 2 points (x and y-intercepts)

Step 3. Connect dots

y=mx+b

y - 5x = -2

y = 5x - 2

Find 2 points

y-intecept = (0, -2)

x-intercept = ?

0 = 5x - 2

2 = 5x

x = 2/5

x-intercept = (2/5, 0)

BRAINLIEST please if this helped!

The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the
cylinder?
The radius of the cylinder is
cm. (Simplify your answer.)

Answers

Answer:

R = 4cm

Step-by-step explanation:

V = π(R)²h = 480π

Divide by π

(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

50 points + brainlest if you answer correctly

Answers

Answer:

5 is the value which makes the equation true .

Step-by-step explanation:

In this question we have provided an equation that is 9 ( 3x - 16 ) + 15 = 6x - 24 . And we are asked to write the steps to solve the equation with explanation and to find the value of X .

Solution : -

[tex] \longmapsto \quad \: 9(3x - 16) + 15 = 6x - 24[/tex]

Step 1 : Solving parenthesis on left side using distributive property which means multiplying 9 with 3x as well as -16 :

[tex] \longmapsto \quad \:27x - \bold{144 }+ \bold{15 }= 6x - 24[/tex]

Step 2 : Solving like terms on left side that are -144 and 15 :

[tex] \longmapsto \quad \:27x -129 = 6x - 24[/tex]

Step 3 : Adding 129 on both sides :

[tex] \longmapsto \quad \:27x - \cancel{129} - \cancel{129} = 6x \bold{ - 24 } + \bold{129}[/tex]

Now on cancelling -129 with 129 on left side and solving the terms that are -24 and 129 on right side , We get :

[tex] \longmapsto \quad \:27x = 6x + 105[/tex]

Step 4 : Subtracting with 6x on both sides :

[tex] \longmapsto \quad \: \bold{27x} - \bold{6x} = \cancel{6x} +105 - \cancel{ 6x}[/tex]

On calculating further, We get :

[tex] \longmapsto \quad \:21x = 105[/tex]

Step 5 : Now we are Dividing with 21 on both sides so that we can isolate the variable that is x :

[tex] \longmapsto \quad \: \dfrac{ \cancel{21}x}{ \cancel{21}} = \dfrac{105}{ 21} [/tex]

Now , by cancelling 21 with 21 on left side , We get :

[tex] \longmapsto \quad \:x = \cancel{\dfrac{105}{21}} [/tex]

Step 6 : Now our final step is to simplify the value of x that is 105/21 . We know that 21 × 5 is equal to 105 . So :

[tex] \longmapsto \quad \: \purple{\underline{\boxed{\frak{ x = 5 }}}}[/tex]

Henceforth , value of x is 5

Verifying : -

Now we are verifying our answer by substituting value of x in the given equation . So ,

9 ( 3x - 16 ) + 15 = 6x - 24

9 [ 3 ( 5 ) - 16 ] + 15 = 6 ( 5 ) - 24

9 ( 15 - 16 ) + 15 = 30 - 24

9 ( -1 ) + 15 = 6

-9 + 15 = 6

6 = 6

L.H.S = R.H.S

Hence , Verified .

Therefore, our value for x is correct that means it'll makes the equation true .

#Keep Learning

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

d

Step-by-step explanation:

hahaha

A Spanish test has 30 questions. A student answers 80% correctly.

How many questions does the student answer correctly?

Enter your answer in the box.

questions

Answers

Answer:

24

Step-by-step explanation:

Lets start by working out 80% of 30

80% x 30=24

so the student answered 24 questions correctly

Workers took a 10% pay cut to help their company stay open during economic hard
times. What is the reduced annual salary of a worker who originally earned $35,000?

Answers

Answer:

$31,500

Step-by-step explanation:

10% = 0.1

100% = 1

1 - 0.1 = 0.9

35,000 x 0.9 = 31,500

8.5 Exercises

In Exercises 1-20 use the Laplace transform to solve the initial value problem. Where indicated by C/G, graph the solution.

#17.

y" + 3y' + 2y = {

e⁻ᵗ, 0 ≤ t < 1

0, t ≥ 1

y(0) = 1

y'(0) = - 1​

Answers

We can express the forcing function (the piecewise expression on the right side) in terms of the step function as [tex]e^{-t}(u(t) - u(t-1))[/tex] where

[tex]u(t) = \begin{cases}1&\text{for }t\ge0\\0&\text{otherwise}\end{cases}[/tex]

Let F(s) be the Laplace transform of a function f(t). Now recall the transform pair

[tex]f(t-c) u(t-c) \mapsto e^{-cs} F(s)[/tex]

This means

[tex]e^{-t} u(t) \mapsto \dfrac1{s+1}[/tex]

[tex]e^{-t} u(t-1) = \dfrac1e \times e^{-(t-1)} u(t-1) \mapsto  \dfrac{e^{-(s+1)}}{s+1}[/tex]

I assume you're familiar with the transform rule for derivatives of y(t). Now we're ready to take the transform of both sides of the ODE:

[tex]y'' + 3y' + 2y = e^{-t}(u(t) - u(t-1))[/tex]

[tex]\implies \left(s^2 Y(s) - s y(0) - y'(0)\right) + 3 \left(s Y(s) - y(0)\right) + 2 Y(s) = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]

Plug in the initial values and solve for Y(s) :

[tex]\left(s^2 Y(s) - s + 1\right) + 3 \left(s Y(s) + 1\right) + 2 Y(s) = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]

[tex](s^2 + 3s + 2) Y(s) - s + 4 = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]

[tex]Y(s) = \dfrac{1 - e^{-(s+1)} + (s-4)(s+1)}{(s+1)(s^2 + 3s + 2)}[/tex]

[tex]Y(s) = \dfrac{1 - e^{-(s+1)} + (s-4)(s+1)}{(s+1)^2 (s+2)}[/tex]

Consider the partial fraction expansion

[tex]\dfrac1{(s+1)^2(s+2)} = \dfrac a{s+1} + \dfrac b{(s+1)^2} + \dfrac c{s+2}[/tex]

Solve for the coefficients:

[tex]1 = a(s+1)(s+2) + b(s+2) + c(s+1)^2[/tex]

[tex]s = -1 \implies b = 1[/tex]

[tex]s = -2 \implies c = 1[/tex]

[tex]1 = (a+c)s^2 + \cdots \implies a+c = 0 \implies a = -1[/tex]

Hence we can expand Y(s) as

[tex]Y(s) = \dfrac1{(s+1)^2} + \dfrac1{s+2}  + \dfrac{e^{-(s+1)}}{s+1} - \dfrac{e^{-(s+1)}}{(s+1)^2} - \dfrac{e \times e^{-(s+2)}}{s+2}[/tex]

The last transform pair we need is

[tex]e^{ct} f(t) \mapsto F(s - c)[/tex]

Now, taking inverse transforms of everything yields

[tex]\dfrac1{(s+1)^2} \mapsto te^{-t}[/tex]

[tex]\dfrac1{s+2} \mapsto e^{-2t}[/tex]

[tex]\dfrac{e^{-(s+1)}}{s+1} \mapsto e^{-t} u(t-1)[/tex]

[tex]\dfrac{e^{-(s+1)}}{(s+1)^2} \mapsto e^{-t} (t-1) u(t-1)[/tex]

[tex]\dfrac{e \times e^{-(s+2)}}{s+2} \mapsto e^{-(2t-1)} u(t-1)[/tex]

and putting everything together gives the same solution as the one provided.

Evaluate the function.
f(x) = 4x^2 + 6x - 2
=
Find f(-5)

Answers

Answer:

The answer is 68

Step-by-step explanation:

Plug -5 into each x value then solve.

What are all the solutions to the equation sin 2x = 2sin x in the interval [0, 2π)?
{π}
{0, π}
{pi over 2}
{pi over 2, 3 times pi over 2}

Answers

[tex]sin(2x) = 2sin(x) \\ 2sin(x)cos(x) = 2sin(x) \\ sin(x)cos(x) = sin(x) \\ sin(x)cos(x) - sin(x) = 0 \\ \sin(x) (cosx - 1) = 0 \\ \sin(x) = 0 \\ x = \pi \: or \: x = 0 \\ cos(x) = 1 \\ x = 0 \: or \: x = \pi \\ \\ s[/tex]

[tex]s = > {0 < = > \pi}[/tex]

[tex]5x^{2}+|x+1|\ \textgreater \ 0[/tex]

Can someone explain me how this is done? My book says that the answer is R (all numbers), but i get [-1; infinity) and two other roots.

Answers

5x² + |x+1| > 0
5x² + x + 1 > 0
x+1 > 0 because it came from absolute
5x² > 0 because it’s squared

When you try a number you should put it in the original equality
5x² + |x+1|

Solve for x and explain your steps in detail using the R-E-S-T Method


8x - 4 = 92

Answers

Answer:

12

Step-by-step explanation:

you add 92 with the 4 and get 96 then you divide the 8x with the 96 and get 12

Hope it helps <333

Answer ↓

x = 12

Calculations ↓

Our goal is to find the value of x .

To find the value of x we need to get x by itself .

The first step is to move all numbers to the right . Luckily , there's only one number here : 4.

So we  add 4 on both sides :

8x=96

Now divide by 8 on both sides :

x = 12

So the value of x is 12.

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Find the volume of the prism.


A triangular prism. The base triangle has a base of 7 feet and height 3 feet. The height of the prism is 5 feet.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's calculate its volume :} [/tex]

[tex] \textsf{V = Area of Triangle × Height } [/tex]

[tex] \sf{V = \dfrac{1}{2}\cdot 3 \cdot 7\cdot 5} [/tex]

[tex] \sf{V= \dfrac{105}{2}} [/tex]

[tex] \textsf{V = 52.5 ft³} [/tex]

[tex] \textbf{Volume if the prism is 52.5 ft³} [/tex]

(06.01 MC)
Classify the expression: -2x
Quadratic expression
Linear expression
Cubic expression
Exponential expression

Answers

Answer:

Linear expression

Step-by-step explanation:

The greateest exponent on a variable is 1 on x, so it is a linear expression,

Answer: Linear expression

Linear expressions. Hope this helps!

Responder
Next
#3
e
100% Q
Twelve people are participating in a community walking fund raiser. Each person has to contribute equally to walking a total distance of
28.375 miles.
What will be the distance walked by each person to the nearest thousandth of a mile?
A 2.355 miles
OB 2.365 miles
OC 2.455 miles
OD 2.465 miles
Previous

Answers

Answer:

B. 2.365

Step-by-step explanation:

Divide total distance by total people in order to get distance each person traveled.

28.375 miles / 12 = 2.36458333.......

If you round taht to nearest thousandth of a mile, the answer is: 2.365

A circle has a diameter of 10 ft. What is its circumference? Use 3.14 for pie and do not round your answer. Be sure to include the correct unit in your answer.​

Answers

Answer: 31.4

Step-by-step explanation:

Circumference = πd  or 2πr

π = 3.14

Since the diameter is given we will use Circumference = πd

So

3.14 * 10 = 31.4

Answer:

C ≈ 31.4

Step-by-step explanation:

The circumference of a circle can be calculated using either of the following formulas: C=d or C=2r.

The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape. For shapes made of straight edges this line is called the perimeter but for circles this defining line is called the circumference.

The radius (r) and the diameter (d) are two more crucial distances on a circle (d). Every circle has three distinguishing features: a radius, a diameter, and a circumference. The circumference may be calculated using the radius or diameter and pi. The diameter of a circle is the distance between one side and the other at its widest points. The circumference of a circle will always pass through its center. This distance is divided in half by the radius. The radius may alternatively be thought of as the distance between the circle's center and its edge.

You can calculate the circumference of a circle if you know its diameter or radius. To begin, keep in mind that pi is an irrational number represented by the symbol. 3.14 is a close approximation.

The formula for calculating a circle's circumference is:

The circumference of a circle is equal to its diameter multiplied by its circumference.

C = d is a common notation for this. This indicates that the circle's circumference is three "and a half" times its diameter

SOLUTION:

Given radius (R) = 5

Diameter =  2R =  10

Circumference =  2πR

=  10π

=  31.415926535898

≈     31. 4

Using the 68-95-99.7 rule
PROBLEM: The random variable
* = the stopping distance of a randomly
selected emergency stop for a pickup
truck on dry pavement from a speed of
62 mph can be modeled by a normal
distribution with u = 155 ft and
o= 3 ft. Use the 68-95-99.7 rule
to approximate:
(a) P(x > 158)
(b) The probability that a randomly
selected emergency stop is between 149 ft
and 152 ft.

Answers

Using the Empirical Rule, it is found that the desired probabilities are given as follows.

a) P(x > 158)  = 0.16.

b) P(149 < x < 152) = 0.135.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Additionally, considering the symmetry of the normal distribution, 50% of the measures are below the mean and 50% are above.

Item a:

158 is one standard deviation above the mean, hence the probability is given by, considering that 32% of the measures are more than 1 standard deviation from the mean:

P(x > 158) = 0.5 x 0.32 = 0.16.

Item b:

Between one and two standard deviations below the mean, hence:

P(149 < x < 152) = 0.5 x (0.95 - 0.68) = 0.5 x 0.27 = 0.135.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Simplify

5x²-x+ 9 =

X=3

Answers

Answer:

51

Step-by-step explanation:

you plug in 3 for x.

5(3)^2 - 3 + 9

5(9) - 3 + 9

45-3+9

51

Answer: 5x^2+6

Step-by-step explanation: sorry if wrong

What are the values of a, b, and c in the quadratic equation 0 = 5x - 4x² - 2?
O a = 5, b=4, c = 2
a = 5, b = -4, c = -2
O
a=-4, b = 5, c = -2
O a=4, b = -5, c = -2

Answers

Answer:

a = -4, b = 5, c = -2

(the third option)

The values are a = -4, b = 5  and  c = -2 in the quadratic equation.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given to determine the values of a, b and c in the following quadratic equation :

0 = 5x - 4x² - 2

We know that a general quadratic equation is of the following form :

ax² + bx + c = 0

where a is the coefficient of x², b is the coefficient of x and c is the constant term.

Comparing the general equation with equation (i), we have that;

coefficient of x², a = -4,

coefficient of x, b = 5

and the constant term, c = -2.

Thus, the values are; a = -4, b = 5  and  c = -2.

Learn more about quadratic equations;

https://brainly.com/question/17177510

#SPJ7


Given that f(x) = 2x - 4 and g(x) = 2x + 8, determine gf(3)

Answers

[tex]\text{Given that,} ~f(x) = 2x-4~~ \text{and}~~ g(x) = 2x+8\\\\ g(f(3))\\\\=g(2\cdot 3 -4)\\\\=g(2)\\\\=2(2)+8\\\\=4+8\\\\=12[/tex]

9) Find the domain of the inverse

Answers

Answer:

Domain is all real numbers

Range is (3, ∞) or y > 3

Step-by-step explanation:

The U.S. flag has 7 red stripes and 6 white stripes. Check if each ratio of red stripes to total stripes is correct. select all that apply.

A. 7:6


B. 7/13


C. 13 to 7


D. 7 to 6


E. 7:13


F. 7/6

Answers

7:13

hope it helps...!!

Please help I’ll give Brainiest

Answers

Answer:

3,00043,000412,00014,992

____________

3748 x 4 = (3000+700+40+8) x 4

(3000 x 4) + (700 x 4) + (40 x 4) + (8 x 4)

12000 + 2800 + 160 + 32

= 14992

Step-by-step explanation with answer:

3748x4 = (3000+700+40+8) x 4

= 3000x4 + 700x4 + 40x4 +8x4

=12000+2800+160+32

=14992

OLZ HELP ILL MARK AS BRAINLEST
Find the slope of the line that goes through the following points​

Answers

Answer:

B. 1 :)

Step-by-step explanation:

Every time the x value gets bigger, the y laue does too. Positive numbers are larger than negative ones so every time we get closer to 0, our values get bigger :)

Have an amazing day!!

Please rate and mark as brainliest!!

Other Questions
My friend (Let's call her "Riley" for safety reasons) says Red Pandas' are Raccoons and I say they are their own family, How do I prove to "Riley" that they aren't Raccoons? Should I use bone structure or should I use something else? 1. Nikita Khrushchev takes over the Soviet Union upon the death of A loud alarm attached to a metal fence begins to ring. Student X has her ear against a pole of the fence while student Y stands away from the fence, as shown below. Both students are the same distance from the alarm. Which of the following statements explains what happens in this situation?A. Student Y hears the alarm at a higher pitch because gases are denser than solids.B. Student X hears the alarm at a higher pitch because solids are denser than gases.C. Student Y hears the alarm first because sound travels faster in gases than in solids.D. Student X hears the alarm first because sound travels faster in solids than in gases. What is the value of log5 125? This supreme court case, decided in 1954, declared that the segregation doctrine of separate but equal, was not constitutional when applied to the public school system. If you drive an oscillator, it will have the largest amplitude if you drive it at its _______ frequency. Which Is the BEST general description of a day in the life of a specialist?A. seeing patients with a wide variety of simple, treatable problemsB. not treating patients but determining which specialists to refer them toC. A combination of seelng patients, maintaining records, and analyzing test resultsD. Spending half the day In a hospital treating patients and the other In a lab dolng research Why were people talking badly about the Finches in To Kill a Mockingbird? A container holds 6.4 moles of gas. Hydrogen gas makes up 25% of the total moles in the container. If thetotal pressure is 1.24 atm. What is the partial pressure of hydrogen? Must show work! Use P^a/P^t = n^a/n^t Write your answer in lowest terms. Working pls JoAnn has a cold. She is coughing up mucus (a respiratory secretion). JoAnn's lungs are the in the chain of transmission. The mucus from her cough is the in the chain of transmission. how to start an article need rn! worth 30 points!How can screens in electronics be customized to fit specific problems or needs? What electronics in your home have screen menus allowing the option to be customized? Who might this customization help? Find the common ratio of the geometric sequence 20,40,80 Which statement best explains how the environment plays a role in preventing chronic disease?O Heart related illnesses, caused by higher levels of humidity, can be reduced by draining standing water from low lying areas.Polio and similar conditions can be reduced in frequency by addressing concerns about polluted air caused by human activity.Reducing the number of trees in an area will lead to a decrease in the amount of pollen, reducing cases of asthma.Access to clean water, which carries fewer carcinogens and other harmful chemicals, will reduce the risk of developing cancer. If the nominal interest rate is 18 percent and the real interest rate is 8 percent, the inflation rate is What is NOT amethod usedto geneticallymodifyorganisms?A. making holes inthe cell to get thenew DNA into theCellB. having bacteriaengulf a cell with thenew DNAC. using a plasmidto insert new geneinto the cell of theorganism Which of the following best describes a central idea in the text? Story: The Treasure In the ForestA. Treasure hunting should remain in storybooks;it is a dangerous business for amateurs.B. Never underestimate the lengths one will taketo protect something dear to them.C. Greed can overtake a person's perception andjudgment.D. Theft will always be punished, one way oranother. what are choosing signalsis it rare that women approach men How is the dormant form of rickettsia rickettsii activated?.