A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism

Answers

Answer 1

Answer:

40

Step-by-step explanation:

4 x 2 = 8 x 5

l x w x h

or

Bxh


Related Questions

Did i do this right?​

Answers

Answer:

yes

Step-by-step explanation:

Calculus hw, need help asap with steps.

Answers

Answers are in bold

S1 = 1

S2 = 0.5

S3 = 0.6667

S4 = 0.625

S5 = 0.6333

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

Explanation:

Let [tex]f(n) = \frac{(-1)^{n+1}}{n!}[/tex]

The summation given to us represents the following

[tex]\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=\sum_{n=1}^{\infty} f(n)\\\\\\\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=f(1) + f(2)+f(3)+\ldots\\\\[/tex]

There are infinitely many terms to be added.

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

The partial sums only care about adding a finite amount of terms.

The partial sum [tex]S_1[/tex] is the sum of the first term and nothing else. Technically it's not really a sum because it doesn't have any other thing to add to. So we simply say [tex]S_1 = f(1) = 1[/tex]

I'm skipping the steps to compute f(1) since you already have done so.

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

The second partial sum is when things get a bit more interesting.

We add the first two terms.

[tex]S_2 = f(1)+f(2)\\\\S_2 = 1+(-\frac{1}{2})\\\\S_2 = \frac{1}{2}\\\\S_2 = 0.5\\\\\\[/tex]

The scratch work for computing f(2) is shown in the diagram below.

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

We do the same type of steps for the third partial sum.

[tex]S_3 = f(1)+f(2)+f(3)\\\\S_3 = 1+(-\frac{1}{2})+\frac{1}{6}\\\\S_3 = \frac{2}{3}\\\\S_3 \approx 0.6667\\\\\\[/tex]

The scratch work for computing f(3) is shown in the diagram below.

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

Now add the first four terms to get the fourth partial sum.

[tex]S_4 = f(1)+f(2)+f(3)+f(4)\\\\S_4 = 1+(-\frac{1}{2})+\frac{1}{6}-\frac{1}{24}\\\\S_4 = \frac{5}{8}\\\\S_4 \approx 0.625\\\\\\[/tex]

As before, the scratch work for f(4) is shown below.

I'm sure you can notice by now, but the partial sums are recursive. Each new partial sum builds upon what is already added up so far.

This means something like [tex]S_3 = S_2 + f(3)[/tex] and [tex]S_4 = S_3 + f(4)[/tex]

In general, [tex]S_{n+1} = S_{n} + f(n+1)[/tex] so you don't have to add up all the first n terms. Simply add the last term to the previous partial sum.

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

Let's use that recursive trick to find [tex]S_5[/tex]

[tex]S_5 = [f(1)+f(2)+f(3)+f(4)]+f(5)\\\\S_5 = S_4 + f(5)\\\\S_5 = \frac{5}{8} + \frac{1}{120}\\\\S_5 = \frac{19}{30}\\\\S_5 \approx 0.6333[/tex]

The scratch work for f(5) is shown below.

Mindy has already saved $20 and plans to save $8 each month.Georgette has no money saved yet but plans to to save $5 each month.Will the girls ever have saved the same amount?

Answers

Answer:

no

Step-by-step explanation:

because mindy has already saved $20 and is putting $8 which is more than the amount georgette is putting (monthly) and plus georgette has no money saved so basically mindy will have more money saved

Pls help this my last question!

Answers

Answer:

Step-by-step explanati

- |10+8l=-2

Match the angle measures with its equivalent.

Answers

Answer:

From top to bottom:

11π/12

-18 degrees

210 degrees

-5π/3

Step-by-step explanation:

Equation to change from radians to degrees:

(Radian number) x (180/π)

The trick is to remember that you want to cancel out the π when converting to degrees

Equation to change from Degrees to radians:

(degree number) x (π/180)

Bring in the π when converting to radians

So for the top one, you want to multiply 165 by π/180 to get

11π/12

Then the second one is -π/10 by 180/π to get

-18 degrees

and so forth

Answer:

Step-by-step explanation:

let be π=180 degrees.

165 degrees have to be 11π/12.

-π/10 will be -18 degrees.

7π/6 will be 210 degrees.

-300 degrees will be -5π/3

train covers 20 km in one hour then how much distance will it cover in 1 min?

Answers

[tex]\sf\large\underline{Given:-}[/tex]

Speed of the train = 20km / 1hr.

[tex]\rightarrow[/tex] 1 hour = 60 minutes.

So, speed of the train = 20km/60min.

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex]Distance covered by train in 1min.

[tex]\sf\large\underline{Solution:-}[/tex]

Let the distance covered by train in 1 min be [tex]\sf{x}[/tex] m.

So, if train covers 20 km in 60min then it covers [tex]\sf{x}[/tex] m in 1 min.

It can be written as,

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}}[/tex] [tex]\sf{=\frac{x}{1}}[/tex](by cross multiplication)

[tex]\rightarrow[/tex][tex]\sf{20\: = \: 60x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{1}{3}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{0.33= x}[/tex](approx)

Therefore, distance covered by train in 1 min= 0.33km (approx).

_______________________________

Hope it helps you:)

What is the value of x?
Enter your answer in the box.
X =

Answers

Answer: x=20

Step-by-step explanation:

(6x-10)=(3x+50) (subtract both sides by 3x)

3x-10=50(add ten to both sides)

3x=60(divide both sides by 3)

x=20

Four friends are order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below
Matthew eats 0.8of a pizza
Lily eats 3/4of a pizza
George eats 77%opizzas f a pizza
Sam eats 82%of a pizza
Which person eats the most pizza?
You must show your workings ​

Answers

Answer:

Sam ate the most pizza.

Step-by-step explanation:

Mathew: 0.8 is equal to 80%

To get a percentage, you need to move the decimal two places to the right.

Lily: 3/4 = 75%

George: 77%

Sam: 82%

-
Using the GCF factor the given expression 4m - 20
4(m - 5)
2(2m - 10)
4m - 20)
2(2m - 20)

Answers

Hey there!

Finding something that’s equivalent to: 4m - 20


Option A.
4(m - 5)

= 4(m) + 4(-5)

= 4m - 20

Possibly Option A. is your answer.

Option B.
2(2m - 10)

= 2(2m) + 2(-10)

= 4m - 20

Possibly Option B. could be your answer


Option C.
4(m - 20)

= 4(m) + 4(-20)

= 4m - 80

Optipn C. isn’t your answer


Option D.
2(2m - 20)

= 2(2m) + 2(-20)

= 4m - 40

Option D. also isn’t your answer just like Option C.

FACTORS OF: 4m - 20

4: 1,2,4, & m

20: 1,2,4,5,10,& 20


LIKE TERMS: 1,2,4


GCF: 4


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Which rule(s) represents a linear​ function?

Answers

Answer:

f(x) = ax + b, where a and b are real numbers.

Sita saves Rs. 1 today, Rs. 2 the next day, Rs. 4 the succeeding day and so on (each saving being twice of the preceding one). What will be total saving in two weeks time?
a

Answers

Answer:

Rs. 32767

Step-by-step explanation:

Because the amount is doubling every day, we can use the expression 1*2^15-1 because there is 1 to start with. Also cool trick! if you need to do 2^1+2^2+2^3+....+2^x, it will be equal to 2^(x+1)-1. So:

2^15-1

32768-1

32767

2. An object of mass 20kg is released from a height of 10m above the ground level. The kinetic energy of the object just before it hits the ground is (g=10ms-²​

Answers

Answer:

2000j

Step-by-step explanation:

Kinetic Energy = mgh

= 20 x 10 x 10 J

= 2000J

ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33​

Answers

The answer to this question is A

Louisa is 5 feet 4 inches tall.
How tall is she in inches?

Answers

Answer: 64 inches

Step-by-step explanation:

she would be 64 inches tall

Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.

Step 1:

Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.



Step 2:

Step 2: a bar diagram shows that 20 and m is equal to s, the money now.

Enter your answer in the box.
Mrs. Reynolds has $
now.

Answers

Answer:

$68

m=48  s=68

Step-by-step explanation:

153-105=48+20=68

The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. P = $11,000.00, r = 9%, t = 150 days

Answers

well, if take a year to be 365 days so hmmm 150 days is really just 150/365 of a year, so let's use that.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$11000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{150}{365}\dotfill &\frac{30}{73} \end{cases} \\\\\\ A=11000[1+(0.09)(\frac{30}{73})]\implies A=11000\left( \frac{757}{730} \right)\implies A\approx 11406.85[/tex]

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the surface area of the roof?

Answers

Answer:

area=2πr

= 22/7*15

= 47.142

the average car on the highway travels 65 miles per hour. if someone has been driving for 4.5 hours how many miles have they driven (Help)

Answers

Answer:

292.5

Step-by-step explanation:

Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5

So:

65 * 4.5 = 292.5

Solve for x.

7.5x11=4.85

Enter your answer as a decimal in the box.

x =

Answers

7.5x11 = 4.85

82.5x = 4.85

*divide 82.5 on both sides*

x = 4.85 ÷ 82.5

x = 0.058788

Answer:

0.058787879

Step-by-step explanation:

(7.5)(x)(11)=4.85

82.5(x)=4.85

x=4.85÷82.5

x= 0.058787879

A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?

Answers

Step-by-step explanation:

let the cost of the bench = x

 

the cost of the garden table = x + 82

 

x + (x + 82) = 668

 

2x + 82 = 668

 

2x = 586

 

x = 293

 

The bench costs $293 and the garden table costs 293 + 82 = $375

can you mark me as brainliest, it will help me a lot. thank you in advance

For f(x) = 2x+1 and g(x) = y2 - 7, find (f+ g)(x).

Answers

Answer:

D

Step-by-step explanation:

When you look for (f+g)(x), we are in essence say that we're looking for f(x)+g(x)

=(2x+1)+(x^2-7).        (substitute for f(x) and g(x))

=2x+1+x^2-7.            (remove the brackets by substituting positive 1 into g(x))

=2x+x^2-6                (add like terms- in this case 1-7=6)

=x^2+2x-6                 (rearrange the equation)

Find the missing factor.
200 x ____ = 600
A) 2
B) 3
C) 4
D) 5

Answers

Answer:

B. 3

Step-by-step explanation:

we know 2x3 = 6 soo just add 2 zeros = 600

B) 3 if we multiply 200 by 3 the answer will be 600

Lily is 90 cm tall. If Anika is 3/5 of the height of Lily, and Sadaf is 4/3 of the height of Anika, how tall is Sadaf?

Answers

90/5 = 18
18x3 = 54
Anikas height = 54
54/3 = 18
18x4 = 72
Sadafs height = 72

What is the measure of angle x?
Enter your answer in the box.

X=

Answers

Answer:

Step-by-step explanation:

y + 47° = 90°  {Complementary angles}

        y = 90° - 47°

        y = 43°

x = y   {Vertically opposite angles}

x = 43°

Answer:

x = 43°

Step-by-step explanation:

[tex] \sf{Y + 47° = 90° } [/tex]

Substract 47° from both sides

[tex] \sf{Y + 47° - 47° = 90° - 47°} [/tex][tex] \sf{Y = 43°} [/tex]

since X and y are vertically opposite angles

[tex] \sf{x = 43°} [/tex]

Billy had 55 stamps in his collection. Billy’s older brother Tommy had 73 stamps in his collection. How many stamps did the two brothers have together?

Answers

Answer:

128

Step-by-step explanation:

Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128

Ms. Bassie bikes a total of 11/12 mile to get to and from work each day. Write
an expression that can be used to find the total number of miles that Ms.
Bassie bikes to and from work over 5 days. Then evaluate the expression.

Answers

Answer:

Step-by-step explanation:

1 day, she travels 11/12 of a mile.

5 days, she travels 5 * 11/12 miles

5*11/12 = 55/12 = 4 7/12  miles.

Complete the net worth statement. What is the net worth of the individual?
A) $171,645
B) $19,950
C) $21,000
D) $26,595

Answers

Considering it's concept, it is found that the net worth of the individual is given by:

D) $26,595.

What is the net worth of an individual?

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

Researching the problem on the internet, we have that:

The sum of the assets, in dollars, is of 545 + 165000 + 6100 = 171645.The sum of the liabilities, in dollars, is of 144000 + 1050 = 145050.

Hence, his net worth is given by:

N = 171645 - 145050 = $26,595.

More can be learned about net worth at https://brainly.com/question/12371230

The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

What is the net worth?

The net worth is the value of assets less the value of liabilities.

The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.

Data and Calculations:

Assets = $171,645

Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)

Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

Learn more about net worth at https://brainly.com/question/12371230

Fastest answer gets brainliest (must provide an explanation and steps for proof)

Answers

Answer:

[tex]\sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]

explanation:

g(x + 5) || this function refers to x = x + 5

solving steps:

[tex]\sf g(x) = \dfrac{1+x}{-3+4x}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{1+(x+5)}{-3+4(x+5)}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{6+x}{-3+4x+20}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]

Answer:

Given function:

[tex]g(x)=\dfrac{1+x}{-3+4x}[/tex]

To find  [tex]g(x+5)[/tex], substitute  [tex]x+5[/tex]  into the function in place of [tex]x[/tex]:

[tex]\implies g(x+5)=\dfrac{1+(x+5)}{-3+4(x+5)}[/tex]

                     [tex]=\dfrac{1+x+5}{-3+4x+20}[/tex]

                     [tex]=\dfrac{x+6}{4x+17}[/tex]

I need HELP with this question!

Answers

Answer:

It will be C

Step-by-step explanation:

Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go

A car is traveling at a constant speed of 45 miles per hour. How many feet does it travel in 6 seconds?

Answers

Answer:

The car will travel at 198 feet in 3 seconds. The speed of the car = 45miles/ hour. To convert miles to feet;. 1 mile = 5280 feet.

Step-by-step explanation:

The car will travel at 198 feet in 3 seconds. The speed of the car = 45miles/ hour. To convert miles to feet;. 1 mile = 5280 feet.

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