A prism is comply filled with 3996 cubes that have edge lengths of 1/3 inches. What is the volume of the prism

Answers

Answer 1

The volume of a cube by definition is:
V = L ^ 3
Where:
L: side.
We have then that the volume of a cube is:
V = (1/3) ^ 3
V = 1/27
Then, the prism volume is:
Vtotal = 3996 * V
Vtotal = 3996 * (1/27)
Vtotal 148 inches ^ 3
Answer:
the volume of the prism is:
Vtotal 148 inches ^ 3

Related Questions

A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups Used Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches

Answers

Answer:

4 batches

Step-by-step explanation:

Let

x -----> the number of cups of apples

y -----> the number of cups of mangoes

z -----> the number of cups of Blueberries

w -----> the number of cups of Blackberries

we know that

x/y=3/1 -----> equation A

x/z=3/2 ----> equation B

x/w=3/1 ----> equation C

x+w=16 ----> equation D

Solve the system of equations C and D

x=3w ----> equation C

x+w=16 ----> equation D

Substitute equation C in equation d and solve for w

3w+w=16

4w=16

w=4 cups of Blackberries

Remember that

For 1 batch of the recipe are used 1 cup of Blackberries

For 4 cups of Blackberries

The number of batches are

(1)*4=4 batches

Answer:

the answer is b

Step-by-step explanation:

it is

If triangle ABC is a triangle with m∠C = 90°, which of the following must be true about angles A and B?

Answers

Final answer:

If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary.

Explanation:

If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary. This means that the sum of angles A and B will be equal to 90°. Therefore, the correct answer is option b.

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The true statement about angles A and B is that a. Angles A and B are complementary.

Which must be true about angles A and B

Since triangle ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.

This means that the sum of the measures of angles A and B is 90 degrees.

So, angles A and B are complementary angles.

In other words, if two angles are complementary, then the sum of their measures is equal to 90 degrees.

Answers

6 possible outcomes on a dice, which means you roll it it could be any of them. Because 3 is one of the 6 the answer would be 1/6

Answer: ITS NOT 1/6, ITS 1/12

Step-by-step explanation:

I took the test :)

The graphic compares two basketball shoes.

After researching many different shoes, Chris narrows down his choice to these two. Which shoes are the best deal?

1 the Hyper-Dunks because they will last for two seasons
2 the Air Slammers because they are the best price
3 the Hyper-Dunks because his favorite pro player wears them
4 the Air Slammers because those are what his teammates chose

Answers

2 the Air Slammers because they are the best price.
According to the information given to receive the best deal, he would choose the Air Slammers because the price is the cheapest, and even if the hyper dunks would last 2 seasons if the air slammers lasted 1 season each the total would be less than the Hyper Dunks.

Answer:

the answer is B

Step-by-step explanation:

What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²

Answers

25.0

using the formula

The base is 10 and the height is 5

27.5 units²

the base is 11 (I think I make no mistake), and the height is 5.

the sum of two numbers is 40. the sum of the smaller and 5 times the larger is 144. find the numbers.

Answers

x= smaller number
y= larger number

EQUATION 1:
the sum of two numbers is 40

x + y= 40

EQUATION 2:
the sum of the first number and 5 times the second is 144

x + 5y= 144

STEP 1:
Solve for one variable in equation 1.
x + y= 40
subtract y from both sides
x= 40-y

STEP 2:
Substitute x=40-y in equation 2.
x + 5y= 144
(40-y) + 5y= 144
combine like terms
40 + 4y = 144
subtract 40 from both sides
4y= 104
divide both sides by 4
y= 26 larger number

STEP 3:
Substitute y=26 in either equation to solve for x (smaller number).
x + 5y= 144
x + 5(26)= 144
x + 130= 144
x= 14 smaller number

CHECK:
14 + 26= 40
40= 40

ANSWER: The smaller number is 14 and the larger number is 26.

Hope this helps! :)

Final answer:

To find the two numbers, we can solve a system of equations. The smaller number is 14 and the larger number is 26.

Explanation:

To find the two numbers, we can solve a system of equations based on the given information. Let's represent the smaller number as x and the larger number as y.

From the first equation, we have x + y = 40.From the second equation, we have x + 5y = 144.

We can solve this system using substitution or elimination. Let's use substitution:

From the first equation, solve for x: x = 40 - y.Substitute this value of x into the second equation: (40 - y) + 5y = 144.Simplify the equation: 40 + 4y = 144.Subtract 40 from both sides: 4y = 104.Divide both sides by 4: y = 26.Substitute this value of y back into the first equation to find x: x + 26 = 40. Subtract 26 from both sides: x = 14.

Therefore, the smaller number is 14 and the larger number is 26.

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Your school gets a dunk tank for its spring fair. The tank is in the shape of a cylinder that is 5 feet high and has a radius of 3 feet. About how much water can the dunk tank hold? Use 3.14 for pi.

Answers

3*3*3.14*5= 141.3
3 squared times pi for the circle area times 5 for the cylinder volume

Answer:

140

Step-by-step explanation:

that's the answer on ttm

Chord AC intersects chord BD at point P in circle Z.

AP=3.5 in.
DP=4 in.
PC=6 in.

What is BP?

Answers

1. To solve this problem and find the value of BP, you must apply the "Intersecting chords theorem".

2. You have that:

AP=3.5 in
PC=6 in
DP=4 in

3. Then, by applying the "Intersecting chord theorem", you have:

(AP)(PC)=(BP)(DP)

4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:

(3.5 in)(6 in)/BP(4 in)

5. Now, you must clear BP. Then:

(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP

6. Therefore, the value of BP is:

BP=5.25 in

Answer:

5.25

Step-by-step explanation:

1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and several snack packs that each weigh ½ lb. The total weight of the care package must be less than 25 pounds.

(A)Write an inequality to model the situation. Use x to stand for the number of snack packs she includes.
(b) Solve the inequality to find the maximum number of snack packs Marisol can include in the package.
(c) What is the maximum number of snack packs Marisol can include in the package? Give your answer in the form of a sentence.

Answers

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = [tex] \frac{1}{2} \;pounds = 0.5 \;pounds [/tex]

The total weight would be less than 25 pounds.

Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25

Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42

Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

convert
11 m^2 to yd^2

Answers

1 yd = 3 m

11/3 = 3.667 (rounded

11m^2 = 3.667yd^2

hope this helps

converse of the Pythagorean theorem

Answers

i only know how to do # 7.

7. 4.5^2 + 6^2 = 7.5^2
20.25 + 36 = 56.25
56.25 = 56.25

yes, the card is a right triangle because A and B added together equals the same as C

Answer:

I hope this helps u can use this u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Step-by-step explanation:

May I please have help with 2-14 even on this ? I'm horrible at math.

Answers

2. x = 1/4 ( 0.25)
4. y = 122, x = 42
6. x = 63, y = 8
8. is missing
10. 13.5 cm
12. x = 10.6
14. x = 5.45

Please help me with this one. WILL MARK BRAINLIEST

Answers

1. Yes.
cranberry juice : total cups = 1 : 5 in all cases

2. Yes.
cranberry juice : total cups = 2 : 5 in all cases

3. No.
1 : 5 is not the same as 2 : 5.

Trapezoid JKLM is shown on the coordinate plane below:
If trapezoid JKLM is translated according to the rule ( x, y)—>(x + 5, y-4), What are the coordinates of point L’ ?
A. (3,-3)
B. (1, -6)
C. (8,-6)
D. (-1, 3)

Answers

the answer looks like it could be (3,-2)

Answer: (8,-6)

Step-by-step explanation:

the coordinates are (3,-2)

(x+5, y-4)

(3+5,-2-4)

(8,-6)

Find the area of the quadrilateral below. Hint, try dividing it up into two triangles.

Answers

Where is the diagram???

Explain which type of graph would best, display the data showing the temperature of a liquid being heated in a science experiment?

Answers

I would have to say a line graph due to the facts that you can see the rising and falling of temperature.

Most likely a line graph. Line graphs are best used to track data containing modifications over long and short periods of time.

How many different outcomes are possible if you can choose between a bus or a train, full fare or concession and you can travel in the morning or the afternoon?

Answers

3 pairs of choices give rise to 2^3 = 8 possibilities:
.. bus, full, morning
.. bus, full, afternoon
.. bus, concession, morning
.. bus, concession, afternoon
.. train, full, morning
.. train, full, afternoon
.. train, concession, morning
.. train, concession, afternoon

Final answer:

Applying the multiplication principle in probability, there are eight different combinations possible when choosing between bus or train, full fare or concession, morning or afternoon for your travel.

Explanation:

Your question is asking how many different combinations of travel mode, fare type, and time of day are possible under given conditions. For this situation, we can apply simple probability rules with concept of multiplication principle, which states that if there are n ways to do something, and m ways to do another, then there are n * m ways to do both.

In this case, you have two choices for each category: mode of transportation (bus or train), fare type (full fare or concession), and time of day (morning or afternoon). The combination is simply 2 (mode of transport) * 2 (fare type) * 2 (time of day) = 8. So, there are eight possible outcomes.

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John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get? Without calculating the answer, from the choices given, which is most reasonable? A. 100 miles per gallon B. –6 miles per gallon C. 30 kilometers per liter D. 25 miles per gallon

Answers

D) 25 miles per gallon. you have to divide 257 by 9
Hope i helped!!

Answer:

Option D

Step-by-step explanation:

Given that John drives 257 miles and uses 9 gallons of gas.

we can find unit rate as

Per galon mileage given = 257/9 = 28

ANd units are miles/gallon

100 miles per gallon is very far from 28 hence incorrect

6 miles per gallon is very low

30 is right but unit is wrong

Hence option D is the right answer.

Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?
a 45° clockwise rotation
a 90° clockwise rotation
a 90° counterclockwise rotation
a 180° counterclockwise rotation

Answers

using a graph tool
see the attached figure

the answer is the option
a 90° clockwise rotation

Answer: The correct option is

(B) a 90° clockwise rotation.

Step-by-step explanation: Given that the co-ordinates of the vertices of figure FGH are F(1, 3), G(–1, 2) and H(2, 1).

The figure FGH is rotated using origin as the center of rotation and the the co-ordinates of the vertices of image figure F'G'H' are F'(3, -1), G'(2, 1) and H'(1, -2).

We are to select the type of rotation that could have taken place.

The transformation from the vertices of FGH to the vertices of image F'G'H' is

F(1, 3) ⇒ F'(3, -1),

G(-1, 2) ⇒ G'(2, 1),

H(2, 1) ⇒ H'(-1, 2).

Therefore, the transformation rule is (x, y) ⇒ (y, -x). This gives the rotation about origin through an angle of 90°.

Thus, the rotation of 90° clockwise taken place from figure FGH to image F'G'H'.

Option (B) is correct.

Factor 10x - 25 to write an equivalent expression

Answers

10x - 25
10 and 25 are both divisible by 5

(5)(2x-5)

If a person is born every 5 seconds and a person dies every 12 seconds, then how many seconds does it take for the population to grow by one person? Please explain as well.

Answers

Final answer:

It takes approximately 60/7 seconds for the population to grow by one person.

Explanation:

To find out how many seconds it takes for the population to grow by one person, we need to determine the difference between the rate of births and the rate of deaths. The rate of population growth per second can be calculated by subtracting the rate of deaths per second from the rate of births per second. In this case, a person is born every 5 seconds and a person dies every 12 seconds. So, the rate of population growth per second is 1/5 - 1/12 = 12/60 - 5/60 = 7/60.

Therefore, it takes approximately 60/7 seconds for the population to grow by one person.

Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1]. define z = min(u1, ..., un). find the
c.d.f. and the p.d.f of z.

Answers

[tex]Z=U_{(1)}=\min\{U_1,\ldots,U_n\}[/tex]

has CDF

[tex]F_Z(z)=1-(1-F_{U_i}(z))^n[/tex]

where [tex]F_{U_i}(u_i)[/tex] is the CDF of [tex]U_i[/tex]. Since [tex]U_i[/tex] are iid. with the standard uniform distribution, we have

[tex]F_{U_i}(u_i)=\begin{cases}0&\text{for }u_i<0\\u_i&\text{for }0\le u_i<1\\1&\text{for }u_1\ge1\end{cases}[/tex]

and so

[tex]F_Z(z)=1-(1-F_{U_i}(z))^n=\begin{cases}0&\text{for }z<0\\1-(1-z)^n&\text{for }0\le z<1\\1&\text{for }z\ge1\end{cases}[/tex]

Differentiate the CDF with respect to [tex]z[/tex] to obtain the PDF:

[tex]f_Z(z)=\dfrac{\mathrm dF_Z(z)}{\mathrm dz}=\begin{cases}n(1-z)^{n-1}&\text{for }0<z<1\\0&\text{otherwise}\end{cases}[/tex]

i.e. [tex]Z[/tex] has a Beta distribution [tex]\beta(1,n)[/tex].

You get a $5,000 180-day 11% consumer loan on May 18. You make a $2,000 payment on July 18. Calculate the balance you still owe after the payment. Assume a 365-day year.

Answers

Various loans have their own rules. I don't know what your text is telling you, so I will compute this first on the basis of simple interest.

5000 for 180 days at 11% will need an interest payment of
.. I = P*r*t = 5000*0.11*(180/365) = 271.23
In this scenario, it doesn't matter when you make the payment(s), the total amount due is 5271.23. After a 2000 payment, you will still owe 3271.23.

_____
On the other hand, if your loan agreement says payments reduce the outstanding principal amout, then you can look at it this way.

Consider the interest due on day 61. That is
.. I = P*r*t = 5000*0.11*61/365 = 91.92
If that is paid first, then the outstanding principal after your 2000 payment is
.. 5000 +91.92 -2000 = 3091.92
You will be paying 11% for 119 days on that amount, so at maturity you will owe
.. 3091.92*(1 +0.11*119/365) = 3202.81

What is the missing length+ Work?

Answers

Answer - height
at least thats what i think

Two step equation; 0.7t - 3.2 = 1.7

Answers

0.7t = 1.7+3.2

0.7t = 4.9

0.7t/0.7 = 4.9/0.7

t=7

hope it helps

t=7. needs to be atleast 20 characters long oops

what's the lateral area of the square pyramid 8m 8m 22 m

Answers

i think the anwsers 1408

The formula for finding the lateral area of any square base pyramid is:

[tex] A=a\sqrt{a^2+4h^2} [/tex]

Where "a" is the base edge or the edge of the square and "h" is the height of the pyramid.

In our case, "a"=8 meters and "h"=22 meters

[tex] \therefore A=8\sqrt{8^2+4(22)^2} \approx357.77 [/tex] squared meters

Thus, the lateral area of the given square pyramid is 357.77 squared meters.

in a study, the data you collect is age and year what is the level of measurement?

Answers

I think the the level of measurement is time

True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for μ will be relatively short. g

Answers

Answer: False.

The sample mean does not determine how wide the confidence interval would be. The sample mean determines the center of the confidence interval. The confidence level, standard deviation, and the sample size would determine the confidence interval width.

A Hindu might try to live a virtuous life to _____________.

A. be moved to a different caste in adulthood

B. be reborn as a person of higher caste

C. find a wealthy marriage partner

D. become a government official

Answers

The answer is B. Hindus believe in the concept of reincarnation, so obtaining good karma by living a virtuous life will help a person to be reborn of a higher caste (a higher position in the social order) in their next life.

What is the volume of a cube with a side length of 13 inches? A. 1014 in3 B. 169 in3 C. 2197 in3 D. 39 in3

Answers

do 13 x 13 x 13.

13 x 13 x 13 = 2197 in3

Hope this helps!

13 x 13 x 13 = 2197 in3
B. 2197 in3

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