A rectangular prism has a volume of 686 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?

Answers

Answer 1

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2


Related Questions

A 12-oz box of cereal costs $1.68.
What is the cost per Ounce?

Answers

It’s should be $0.14 if I did the math correctly

Abigail has $400 in her savings account. She wants to keep at least $160 in the account.
She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.

Answers

Answer:

400-40x x=6

Step-by-step explanation:

400 in total. minus 40 each week (x)

40 × 6= 240

400-240=160

Which of the following is not a Quadrilateral

Answers

Answer:

triangle?

Step-by-step explanation:

Answer:

A circle

Step-by-step explanation:

can i get brainliest

x-1
1
X+4
+
2x+1
=
x-2
2x²-3x-2

Answers

Answer:

x = 2π3

Step-by-step explanation:

csc(x)csc(x) , x=πx=π

3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1

cot(3x)cot(3x) , x=2π3

Hope this helps :)

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Answers

Answer:

C ≈ 18.85yd

Step-by-step explanation:

Plz help I’ll give 20 points

Answers

The first one is : y= -1/2x+3

The second one is : y=x-3

Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3

Answers

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

10)

In 1990, about 13.8 million students were enrolled in U.S. colleges. In

2000, about 14.9 million students were projected to be enrolled in U.S.

colleges. Find the average rate of change in the number of students per

year.

Answers

Answer:

0.77% increase per year

Step-by-step explanation:

total % increase in the number of college students between 1990 and 2000:

= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%

average rate of increase per year:

1.07971 = (1 + r)¹⁰

¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰

1.007699 = 1 + r

r = 1.007699 - 1 = 0.007699 = 0.77% increase per year

Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.

Answers

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

please answer as fast as possible see image

Answers

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

218.55

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

Find the circumference of a circle with a radius of
6 cm​

Answers

Answer:

C = 12π cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Circumference: C = 2πr

Step-by-step explanation:

Step 1: Define

Radius r = 6 cm

Step 2: Find C

Substitute:                    C = 2π(6)Multiply:                        C = 12π

Let's assume your process yields products with a mean diameter of 12.50mm and σ = 0.010mm. If the specification calls for a range of 12.480mm - 12.530mm, what percentage of parts will have a diameter within these limits?

Answers

Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]

Then, using the standard normal distribution cumulative probability tables:

[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]

Select the correct answer from the drop-down menu. Coulomb's law is given by F=^K^q1^q2/r^2, where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them. Rewrite the formula for Coulomb's law to solve for r. The formula for r is _____ .
(I've added a pic of the formula and the three pull down answers)

Answers

Answer:

ANSWER IS B

Step-by-step explanation:

The formula for the Coulomb's law with respect to r is given by the equation r = ( Kq₁q₂ / F )^1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

F = Kq₁q₂ / r²

where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them

On simplifying for r , we get

Multiply by r² on both sides , we get

Fr² = Kq₁q₂

Divide by F on both sides of the equation , we get

r² = ( Kq₁q₂ / F )

Taking square roots on both sides of the equation , we get

r = ( Kq₁q₂ / F )^1/2

Hence , the equation is r = ( Kq₁q₂ / F )^1/2

To learn more about equations click :

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Hey! Just do the first one! :) I also need this fast- so help! :((

Answers

Answer:

the second one

Step-by-step explanation:

that's the answer

it’s the second one

Vocabulary Is every relation also a function? Explain.

A. No. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.

B. Yes. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.

C. Yes. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.

d. No. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.

Answers

Answer:

It is B

Step-by-step explanation:

A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.

One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.

The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.

Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.

To know more about the vocabulary and its function, refer to the link below:

https://brainly.com/question/25312924

20 POINTS

NEED HELP ASAP

If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)

A. x-3
B. x-1
C. 5x-1
D. 5x-3

Answers

g(x)=2x+1
f(2x+1)=3(2x+1)-2
6x+3-2=6x-1
Sorry this was the answer that I had 6x-1
That answer choice is correct?

Round 61.7625 to the neares

Answers

Answer:

Nearest whole: 62

Nearest tenth: 61.8

Nearest hundredths: 61.76

Nearest thousandths: 61.763

The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units and shifted horizontally by -12 units.


1a) write the function g(x) in vertex form

1b) then rewrite the vertex form into standard form

Answers

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

Algebra I

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

a = vertical shrink/stretch b = horizontal shrink/stretch c = horizontal movement left/right d = vertical movement up/down

Step-by-step explanation:

Step 1: Define

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

Step 2: Write Vertex Form

Define:                    f(x) = a(bx - c)² + d Substitute:              f(x) = -1/3(x + 12)² + 9

Step 3: Write Standard Form

Define:                              f(x) = -1/3(x + 12)² + 9Expand:                             f(x) = -1/3(x² + 24x + 144) + 9Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol

Answers

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

Answer:

A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not change

Explanation: Correct on Edg 2020.

8=1/4(x+16) in simplest form

Answers

Answer:

X = 16

Step-by-step explanation:

multiply 1\4 by (x+16)

u got 8 = 1\4x +4

32 = x + 16

-x = -16

so x = 16

Hope you got it.

Mark it as Brainliest .

Answer:

x=16

Step-by-step explanation:

I HOPE THIS HELP

The value of a ratio is __________.

the sum of the two quantities in the ratio
the quotient of the two quantities in the ratio
the difference of the two quantities in the ratio
the product of the two quantities in the ratio

Answers

Answer:

B.

Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.

Answer:

B

the quotient of the two quantities in the ratio

eduphoria! - School
New Tab
IE ela
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Bar
Ows el
SA Desmos Scientific
Can you write the equation of a parallel line through the given coordinate and
type the correct code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #4
1:
Find the equation
parallel to
Y: -2x 10
through (3, -1)
2:
Find the equation
parallel to
-1
• 12
through (3,-1)
answer choices
A: - B:
C:
Y'j* Y.-2x•7 y.-24-4
D: E
F:
Y 3*.7 Y-3
y=-2x1
G: H:
y.-24.5 y2x8 Y 3-1
T: -1.
3:
Find the equation
parallel to
y = -2x - 18
through (-3, 2)
4:
Find the equation
parallel to
-1
Y
3
through (12,-5)
Type the 4-
letter code into
the answer
box. All CAPS
no spaces.
X.16
Your answer

Answers

Answer: GACI

Step-by-step explanation:

Write these following fractions in order from greatest to least

1/9
1/2
1/8

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{1}{9} = \frac{1 \times 8}{9 \times 8} = \frac{8}{72} \\ [/tex]

[tex] \frac{1}{2} = \frac{1 \times 36}{2 \times 36} = \frac{36}{72} \\ [/tex]

[tex] \frac{1}{8} = \frac{1 \times 9}{8 \times 9} = \frac{9}{72} \\ [/tex]

_________________________________

[tex] \frac{8}{72} < \frac{9}{72} < \frac{36}{72} \\ [/tex]

[tex] \frac{1}{9} < \frac{1}{8} < \frac{1}{2} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the order from greatest to least is :

[tex] \frac{1}{2} \: , \: \frac{1}{8} \: , \: \frac{1}{9} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the slope of the line?

Answers

Answer:

The correct answer is Integer ;)

find the exact value of sin(4π3+π4)

Answers

Equation Step by Step

sin(4(3.141593^3)+3.141593^4)

sin((4)(31.006277)+3.141593^4)

sin(124.025107+3.1415934)

in(124.025107+97.409091)

sin(221.434198)

=0.998844

Tbh, might be wrong on this one. I'm on the road so didn't double-check my answer.

What is the unit price of 6 pounds of chocolate that costs $51.00?

Answers

Answer:

$8.50 per pound

Step-by-step explanation:

51/6=8.5

The price of 1 pound is $8.5

What is an Equation ?

An equation is a statement that relates expressions with constants or another expressions.

It is given that

6 pounds of chocolate costs $51

then let 1 pound of chocolate costs $x

The equation formed will be

x = $51/6 = $8.5

Therefore the price of 1 pound is $8.5

To know more about Equation

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A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.


The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.

Answers

Step-by-step explanation:

Step one:

We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.

Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.

Step two:

Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is

=40/100*100

=0.4*100

=$40 off

= 100-40

=$60

The total percent of reduction 10+40= 50%

This is equal to a discount on the sales price

Cole's soup recipe is shown in the table above. What is the ratio of water to chicken stock? Express the ratio as a fraction in simplest form.

Answers

Answer:

2:3

Step-by-step explanation:

4:6, you would have to divide both sides by 2 to get the simplest answer which is 2:3, hope this helps

I need help and thanks in advance

Answers

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.

PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT

White an equation in slope intercept form whose slope is 10 and y intercept is -3.

Answers

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

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