A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?



1)

cubic inches

2)

cubic inches

3)

cubic inches

4)

cubic inches

Answer:

Part A:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Part B:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Functions

Calculus

Differentiation

Differential Equations

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(x) = 19x + 15[/tex]

Step 2: Find Antiderivative

Step 3: Find Particular Solution

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differential Equations

Answer: B,D,E

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

∠4 + ∠3 = 180

40 + ∠3 = 180

∠3 = 180 - 40

∠3 = 140

Work Shown:

566,000 tweets = 1 hour

566,000 tweets = 60 minutes

566,000/60 tweets = 60/60 minutes .... divide both sides by 60

9,433.3 tweets = 1 minute

There were roughly 9,433.3 tweets per minute.

Answer:

The answer is C.

Step-by-step explanation:

Answer:

1st: parallel

2nd: perpendicular

3rd: neither

4th: neither

5th: neither

6th: parallel

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Answer:

4 to 7 *maybe

Step-by-step explanation:

Answer:

71°

Step-by-step explanation:

h = 71° ( corresponding angles)

Answer:

Step-by-step explanation:

Not congruent

Better to say that there is not enough information to say, "Triangles are congruent"

Answer:

A linear graph

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution

Answer:

0.02 Sorry If it isn't right.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

A right triangle is 90 degrees

90-12-31=47

Since 2⁵ = 32, and

2⁵ ≡ 32 ≡ 10 (mod 22),

we have

2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)

Now consider 10¹⁰ (mod 22):

10 = 2 • 5

10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)

so that

2⁵¹ ≡ 2³ • 5¹² (mod 22)

Now consider 5¹² (mod 22):

5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,

5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)

and so

2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)

Another, more tedious method: Start with smaller powers of 2 and look for a pattern.

2 ≡ 2 (mod 22)

2² ≡ 4 (mod 22)

2³ ≡ 8 (mod 22)

2⁴ ≡ 16 (mod 22)

2⁵ ≡ 32 ≡ 10 (mod 22)

2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)

2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)

2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)

2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)

2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)

2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)

2¹² ≡ 2 • 2 ≡ 4 (mod 22)

and so on, with a cyclic pattern of length 10. That is, [tex]2^{10k+1}\equiv2\pmod{22}[/tex] for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

Answer:

10  

Step-by-step explanation:

Answer:

x = 45

y = 60

z = 75

Step-by-step explanation:

We can create three different equations with the given variables:

x + y + z = 180

y + z = 3 x

z = y + 15

then we can use this last equation to substitute for 'z" in the second equation:

y + z = 3x

y + y + 15 = 3 x

2 y + 15 = 3 x

x = 2/3 y + 5

Then we can re-write the first equation in terms of y and solve for this unknown:

2/3 y + 5 + y + y + 15 = 180

2/3 y + 2 y = 160

8/3 y = 160

y = 3 * 160 /8

y = 60

Then   x = 2/3 (60) + 5 = 45

so x = 45

and finally:   z = 60 + 15 = 75

so  z = 75

Step-by-step explanation:

18 ..............hope it helps

Answer:

180 plants per row

Step-by-step explanation:

This is a division problem.

When he places 22,680 plants in 126 rows, he is dividing the 22,6980 plants by 126 rows.

22,680/126 = 180

Answer: 180 plants per row

Answer:

49.22 centimeters.

Step-by-step explanation:

7% of 46 is 3.22 which means you add 46 to 3.22and u get the answer 49.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

i don't know . i did this in sixth grade and i failed

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

1 - 4 = -3

2 - 1 = 1

(-3) / 1 = (-3)

Answer:

n<1

first graph

Step-by-step explanation:

subtract 5 from both sides

6n<6

divide by 6

n<1

please mark brainliest if correct

Answer:

Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding

Answer:

f(-2) = 14

Step-by-step explanation:

f(-2) = 6(-2) 2 - 4

f(-2) = -12 + 2 - 4

f(-2) = -10 - 4

f(-2) = -14

Answer:

4.25

Step-by-step explanation:

Answer:

-45 I think

Step-by-step explanation:

6 × (-7) - 3

-42 - 3

-45

Sorry if this is wrong