How many 0.5cm x 0.5 cm x 0.5cm cubes are needed to completely fill the rectangular prism measuring 4 cm x 3 cm x 3cm?mp

Answers

Answer 1

Answer:

288

Step-by-step explanation:

The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.

Now, you just divide 36 by 0.125, which is 288.

I hope this helped.


Related Questions

Find the equation of the line that is parallel to the line y = 3x + 1 and passes through
the point (1, 2).
(Show Work and steps)

Answers

Answer:

[tex]y=3x-1[/tex]

Step-by-step explanation:

lines that are parallel have the same gradient

using this fact we can create the equation:

[tex]y=3x+c[/tex]

and substitute in our values

[tex]2=3+c[/tex]

[tex]c=-1[/tex]

so the equation of the line is [tex]y=3x-1[/tex]

(HELP) What is the perimeter of the figure?



28 m
20 m
22 m
14 m

Answers

Answer:

20m

Step-by-step explanation:

Perimeter is the sum of all the sides.

Perimeter = 3+5+1+7+4 = 20m

Find the value of xx, yy, and zz in the parallelogram below..

Answers

Answer:

36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

if sin(θ)=7/25, when π/2<θ<π, use the given information about θ to find the exact value of sin(θ/2)

Answers

we know that π/2 < θ < π, which is another way of saying that θ is in the II Quadrant, so half that angle will most likely be located on the I Quadrant, where cosine as well as sine are both positive.

Now, let's keep in mind that θ itself is in the II Quadrant, where the cosine is negative whilst the sine is positive.

[tex]\textit{Half-Angle Identities} \\\\ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's now find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{25^2-7^2}=a\implies \pm\sqrt{576}=a\implies \pm 24=a\implies \stackrel{II~Quadrant}{-24=a} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-24}}{\underset{hypotenuse}{25}} \\\\\\ sin\left(\cfrac{\theta}{2}\right)\implies \pm \sqrt{\cfrac{1-\left( -\frac{24}{25} \right)}{2}}\implies \pm \sqrt{\cfrac{1 +\frac{24}{25} }{2}}[/tex]

[tex]\pm\sqrt{\cfrac{~~\frac{49}{25} ~~}{2}}\implies \pm\sqrt{\cfrac{49}{50}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{49}{50}}}\implies \cfrac{\sqrt{49}}{\sqrt{50}}\implies \cfrac{7}{5\sqrt{2}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{7}{5\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{7\sqrt{2}}{5\sqrt{2^2}}}\implies \cfrac{7\sqrt{2}}{10}[/tex]

Show that ln(x^3 -4x) − ln(x^2 -2x)= ln(x + 2).

Answers

Hello there :) Give brainliest if possible!

determine whether the ordered pair is a solution of the linear equation. thanks in advance!!

Answers

Answer:

no

Step-by-step explanation:

because it is nor a solution

Translate the following expression:

5 less than 4 times a number(use n), squared

due in 1 hour

Answers

Step-by-step explanation:

[tex](4n - 5) {}^{2} [/tex]

4 times a number implies it's multiplied by 4

5 less is simply -5

and square all that to get (4n-5)²

This is my best guess

I need help please please

Answers

Answer:

A

Step-by-step explanation:

Reflects across the y axis then rotates 180 degrees.

Answer:

reflection then rotation

Step-by-step explanation:

because to get 2 you reflect then 3 is rotated

A robot can complete 5 tasks in 3/4

hour. Each task takes the same amount of time.

a. How long does it take the robot to complete one​ task?

b. How many tasks can the robot complete in one​ hour?

Answers

Answer:

[A] 9 minutes to complete one task

[B] 6 tasks completed, with 2/3rds of another task completed.

Step-by-step explanation:

5 tasks in 45 mins is equal to one task in 9 minutes

60 minutes in an hour, 9 minutes per task = 6 tasks completed, with 2/3rds of another task completed.

Please help me find the missing angle measures. :(​

Answers

Answer:

M<1 = 120° therefore, M<7 = 120°

M<1 = 120° therefore, M<5 = 120°

ANSWER QUESTION FOR A BRAINLIEST ANSWER
An airplane on autopilot took 5 hours to travel​ 3,475 kilometers. What is the unit rate for kilometers per​ hour?

Answers

It should be (695) Because if you divide 3,475 by 5 well it will give you 695

The diagram shows squares arranged around the edge of a right triangle. What is the area of square B

Answers

Step-by-step explanation:

take the right triangle

15^2 = 9^2 + x^2

225 = 81 + x^2

x = 12

area of square b = 144

Answer for Brainliest

1)7/4+5/8=
2)3/2+4/3=
3)2/3+10/7=
4)4-3/17

Answers

Answer: 1) 2.375

               2) 2.833333333333333

                3) 2.095238095238095

               4)  3.823529411764706

Step-by-step explanation:

1)7/4+5/8=2.375

2)3/2+4/3= 2.833333333333333

3)2/3+10/7= 2.095238095238095

4)4-3/17= 3.823529411764706

I need to know this very hard question!

Answers

Answer:

8 [tex]\frac{3}{4} \\[/tex]

Step-by-step explanation:

Going from left to right on the number line we see that k is between 8 and 9. So 8 will be your whole number.  The number line is divided into 8 sections between each whole number and k is located 6/8 between 8 and 9.  

This mixed number is 8 6/8. We can reduce the 6/8 to 3/4 by dividing by 2 on the top and bottom.  So your final answer is 8 3/4.

If the payans make a 15% down payment of $ their monthly payment will be $

Answers

Answer:

If the Payans make a 15% down payment of $1,237.18, their monthly payment will be $35.

Hope this helps!

The floor of a NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?


Answers

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

How many cubic feet of space are there in a subway car?

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

28y^2 - 23y + 4 /28y^3 + 19y^2 - 20y​

Answers

Answer:

42y^2 - 43y + 1/7y^3

Step-by-step explanation:

What is the midpoint between
(-1,1) and (-5,12)

Answers

(-3, 23/2)

the picture i linked shows the step by step

Need help asap!!!!
i will mark brainliest

Answers

Answer:

41

Step-by-step explanation:

Answer:

the value of x is 41°

Step-by-step explanation:

x + 76°+63° = 180°{being straight angle}

or, x+139° = 180°

or, x = 180° - 139°

or, x = 41°

herry whee Mathematics Diagnostic Assessment 35 + 6 7 9 At what position on the number line is the red dot located? OA. 53 OB. 86 O C. 33 OD. 43 .​

Answers

Answer:

D

Step-by-step explanation:

That is the closest number from the sum of 35+6 35+7 35+9

Slove for x
Show all work

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex](x)(y)=9(4)[/tex]

[tex]\sqrt{x^2} =\sqrt{36}[/tex]

[tex]x=6[/tex]

~

Here is 3 & 4 I NEED DONE ASAP!

Answers

Given matrices are from here

https://brainly.com/question/18267865

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

Problem 3

a)

B - C = DNE

We cannot subtract matrices of different sizes. Matrix B is 2x2 while C is 3x2. Both matrices must have the same number of rows, and they must also have the same number of columns. The matrices don't have to be square.

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

b)

[tex]A+B = \begin{bmatrix}-5 & 6\\7 & 4\end{bmatrix}[/tex]

You add the corresponding elements. For instance, in the top left corner we have -1+(-4) = -5. The other entries are treated in a similar manner.

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

c)

[tex]-2E = \begin{bmatrix}6 & -4 & 8\\-12 & 14 & -16\\-10 & -18 & 20\end{bmatrix}[/tex]

You get this from multiplying each entry in matrix E by -2. Eg: top left corner has -2*(-3) = 6

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

d)

[tex]CD = \begin{bmatrix}4 & 7 & 8\\ 1 & 3 & 4\\14 & 17 & 16\end{bmatrix}[/tex]

Matrix C has 3 rows and D has 3 columns. The final answer will be size 3x3

To generate each value in the answer matrix, you'll highlight rows of C to pair with columns of D. Then you'll multiply out the corresponding values, after which you add those products. This is done for every entry in the answer shown above.

For example, the first row of C is highlighted and the second column of D is highlighted. Those values pair up and multiply getting -1*(-1) + 2*3 = 1+6 = 7, which goes in the first row and second column of the answer matrix. The other entries are handled in a similar fashion.

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

e)

[tex]\det(B) = -46[/tex]

The 2x2 matrix determinant formula is [tex]\begin{vmatrix}a & b\\c & d\end{vmatrix} = a*d - b*c[/tex]

In this case, a = -4, b = 6, c = 5, d = 4.

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

f)

[tex]B^{-1} = \begin{bmatrix}-2/23 & 3/23\\ 5/46 & 2/23\end{bmatrix}[/tex]

Swap the top left and bottom right corners of matrix B. Change the sign of the other two corner values. Then multiply each entry by 1/d where d is the determinant found back in part (e) above. Be sure to reduce any fraction as much as possible.

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

Problem 4

Answers: x = 2  and y = -10

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

Work Shown:

[tex]\begin{bmatrix}2x & 4\\-5 & -2\end{bmatrix}+\begin{bmatrix}3 & -7\\11 & y-1\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & 4+(-7)\\-5+11 & -2+(y-1)\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & -3\\6 & y-3\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\[/tex]

In the top left corners of each matrix, in line 3, we have 2x+3 = 7 which solves to...

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2

In the bottom right corners, we have y-3 = -13 which solves to....

y-3 = -13

y = -13+3

y = -10

I need help please ASAP ?!!! ANYONE PLS HELP

Answers

Answer:

1. 3/6

2. 2/4

3. 4/6

4. 3/6

Step-by-step explanation:

multiple each fraction by the number of parts I pretty sure

If 4 gal of premium unleaded gasoline costs $15.04, how much would it cost to completely fill a tank whose capacity is 9-gal?
The cost to completely fill the tank is $

Answers

Answer:

$33.84 cents

Step-by-step explanation:

Given the following question:

4 gallons = 15.04
1 gallon = ?

How much for 9 gallons?

To find the answer we have to find how much one-gallon costs since we already know how much it costs for 4 gallons of this unleaded gasoline.

[tex]15.04\div4[/tex]
[tex]15.04\div4=3.76[/tex]
[tex]=3.76[/tex]

One gallon of this gasoline costs $3.76 now we need to find how much it costs for 9 gallons.

[tex]3.76\times9=33.84[/tex]
[tex]=33.84[/tex]

For nine gallons of gasoline it will cost you "$33.84 cents."

Hope this helps.

Which of the following shows figure T rotated 90° clockwise around the Orgin ?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the 4th one because it's the only one that rotated at 90° clockwise and around the origin.

A car manufacturer claims that the company’s newest model has a peak power of exactly 329 horsepower. Katherine is a reporter for an automotive magazine. She is testing the manufacturer's claim and says that the population mean peak power is less than the advertised amount. She measures the peak horsepower of 42 randomly selected cars of the new model. The sample mean is 327.74 horsepower with a standard deviation of 2.41 horsepower. Should Katherine reject or fail to reject the null hypothesis given the sample data below? H0:μ=329 versus Ha:μ<329 α=0.05 (significance level) t≈−3.39 with 41 degrees of freedom p-value<0.005

Answers

Answer: Katherine should reject the null hypothesis.

Step-by-step explanation:

We reject the null hypothesis when p-value is less than the significance level.

here,  H0:μ=329 versus Ha:μ<329

α=0.05 (significance level)

p-value<0.005

so , we should reject the null hypothesis as p-value is less than the significance level.

Hence, Katherine should reject the null hypothesis.

Please solve with explanation 9 points

Answers

Step-by-step explanation:

try the option shown in the attachment, note, all the answers are marked with red colour.

For each part, first decide which of the three methods sections will most easily enable you to sketch the surface. These are the generalized cylinder method, the surface of revolution method, and the method of slices (traces) for general quadric surfaces. Then apply that method to sketch the surface.

a. x^2 = 4z +8
b. x^2 - 4y^2 – 4z^2 = 16
c. y^2 = x^2 + 2z^2

Answers

Answer:

Step-by-step explanation:

We use these three methods

1. Generalized cylinder method

2. Surface of revolution method

3. Method of slices general quadratic

1. For A = x² = 4z + 8

We use the method of slices for general quadratic

2. X²-4y²-4z² = 16

We use the generalized cylinder method

3. Y² = z² + 2z²

We use surface of revolution

Please check attachment for answers

Hello Can Someone Please Answer This Math Question

Answers

Step-by-step explanation:

the answer is in the picture

estimate -12 4/9 multiplied by 5 7/8

A. -72

B. 78

C. -78

D. 72

Answers

-72 because it is equal to -73.1 but you could also put -72
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