Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 120 square centimeters, and she wants it to weigh 400 grams. The density of the clay she is using is 1.6, point, 6 grams per cubic centimeter.
What should be the height of the paperweight?

Answers

Answer 1

Answer: 6.25

Step-by-step explanation:

I took the quiz on Khan Academy and it’s right.


Related Questions

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Answers

Answer:

C

Step-by-step explanation:

[tex]x^2-2x-80=[/tex]

[tex](x-10)(x+8)[/tex]

You can confirm this by expanding this:

[tex](x-10)(x+8)=[/tex]

[tex]x^2-10x+8x-80=[/tex]

[tex]x^2-2x-80[/tex]

Therefore, the answer is choice C. Hope this helps!

Answer:

C

Step-by-step explanation:

x^2-2x-80

(x^2+8)+(-10x-80)

factor out the -10 for -10x-80

=x(x+8)-10(x+8)

(x+8)(x-10)

pls mark me brainliest

Four students were asked to write an expression which has terms that have a greatest common factor of 8c.

the expressions provided by the students are shown below.

Tanya

32C+16cd

Wyatt

8c-48cd

Xavier

36c-24c yang. 8c+40

Which student wrote the correct expression?

Answers

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

The GCD of the terms is 16c

Wyatt : 8c-48cd=8c(1-6d)

The GCD of the terms is 8c

Xavier :36c-24c =12c(3-2)

The GCD of the terms is 12c

Yang: 8c+40=8(c+5)

The GCD of the terms is 8

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer:

wyatt answered correctly

Step-by-step explanation:

1. Use Euler’s formula to find the number of vertices in a polyhedron with 18 edges and 9 faces
use formula: F+V = E+2

please help!

Answers

Answer: 11 vertices

Step-by-step explanation:

Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:

F+V = E+2

Where:

F = number of faces

V = number of vertices

E= number of edges

Replacing with the values given:

9+V = 18+2

Solving for V:

V =18+2-9

V = 11

Feel free to ask for more if needed or if you did not understand something.  

What is the volume, in cubic m, of a cube with an edge length of 18m?

Answers

Honestly don’t know

Answer:

The answer is 5832

Step-by-step explanation:

18 ^3 is 5832

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa

Answers

Answer:

Don’t really know what the question is, but these are the answers for x

Need help with 1 and 2 please

Answers

Answer:

calculator

Step-by-step explanation:

calculator

Please help. I also will post another question I need help with. Thank you if you help.

Answers

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Carmine has a total of 9 7/8 gallons of milk in his refrigerator. For breakfast, his nephew Silvio puts 3/4 of the milk into his cereal bowl. How many gallons of milk does Silvio get in his cereal

Answers

Answer:

The volume of gallons used by Silvio = [tex]7\frac{13}{32}[/tex] gallons

Step-by-step explanation:

Total volume of milk = [tex]9\frac{7}{8}[/tex] = [tex]\frac{79}{8}[/tex]

amount used by Silvio = [tex]\frac{3}{4}[/tex] of total volume

This means that if the total volume of milk were divided into four parts, Silvio takes 3 out of 4 parts, and this is converted to volume as follows:

∴ amount used by Silvio = [tex]\frac{3}{4}[/tex] × [tex]\frac{79}{8}[/tex] = [tex]\frac{237}{32}[/tex] = [tex]7\frac{13}{32}[/tex] gallons

Did Julio verify the solution?
O No. He substituted 4 and -2 for the wrong
variables.
O No. He did not check the point in the second
equation
O No. He simplified the equation incorrectly.
Yes. He verified that (4, -2) is a solution to the
system of equations.


ASAP

Answers

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

Solve the following:
a)
3x + 4 /2 = 9.5

7 + 2x /3 = 5
b)

Answers

The answer is
a) x=2.5
b) x=-3

The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.

Answers

Answer:

The ballast bag hits the ground after 6 seconds.

Step-by-step explanation:

Suppose there was a small typing mistake.

The height of the ball, after t seconds, is given by the following equation:

[tex]f(t) = -16t^{2} + 576[/tex]

After how many seconds t does the ballast bag hit the ground.

This is t for which f(t) = 0. So

[tex]f(t) = -16t^{2} + 576[/tex]

[tex]-16t^{2} + 576 = 0[/tex]

[tex]16t^{2} = 576[/tex]

[tex]t^{2} = \frac{576}{16}[/tex]

[tex]t^{2} = 36[/tex]

[tex]t = \pm \sqrt{36}[/tex]

Time is a positive measure, so

[tex]t = 6[/tex]

The ballast bag hits the ground after 6 seconds.

Stephen uses \dfrac{2}{25}

25

2



start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1

10

1



1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.

How many servings can Stephen make?

Answers

Answer:

[tex]13\dfrac{3}{4}$ servings[/tex]

Step-by-step explanation:

Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.

He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]

Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .

Rewrite as a simplified fraction.
2.31 with the 1 repeating

Answers

Answer: [tex]\frac{104}{45}[/tex]

Step-by-step explanation:

[tex]2.31^-[/tex]

Let x be equal to that.

[tex]x=2.31^-[/tex]

Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.

[tex]10x=2.31^-*10[/tex]

This basically moves the decimal point one number to the right.

[tex]10x=23.11^-[/tex]

Subtract the first equation from this new equation.

[tex]10x=23.11^-\\-x=2.31^-[/tex]

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

The repeating decimal is eliminated and we are left with:

23.1

- 2.3

---------

20.8

We also have 10 - 1 = 9. We are left with:

[tex]9x=20.8[/tex]

Divide by 9.

[tex]x=\frac{20.8}{9}[/tex]

To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.

[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]

[tex]x=\frac{208}{90}[/tex]

Let's simplify.

208/2=104

90/2=45

[tex]x=\frac{104}{45}[/tex]

How many batches of cookies can Robert make?

Answers

Answer:

5 batches

Step-by-step explanation:

For this you need to divide the 2 fractions, and what ever you get will be the answer.

[tex]4\frac{1}{2}[/tex]÷[tex]\frac{3}{4}[/tex]

First make the mixed fraction into a improper fraction.

[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]=[tex]\frac{36}{6} =\frac{5}{1} =5[/tex]

Final answer

5 batches

What is the product of (-a + 3)(a + 4)?

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

-a^2-4a+3a+12

-a^2-a+12

help me fill this out thanks

Answers

Answer:

[tex]y = 2 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]

Does anybody know how to solve this? (Click for full picture if it doesn’t show up)

Answers

Step-by-step explanation:

angle A = 38

now come with me inside the triangle ABC

use two property of isoceles traingle and sum of angles of triangle

you get x= 71°

Answer:

x = 71°

Step-by-step explanation:

Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.

Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.

Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:

∠A + ∠B + ∠C = 180

38 + x + x = 180

38 + 2x = 180

2x = 142

x = 142/2 = 71

Thus, x = 71°.

On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?

Answers

Answer:

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Step-by-step explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help

Answer:

15! ways

Step-by-step explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?

Answers

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89  = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 ×  9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89  

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?

Answers

Answer:

50 yards

Step-by-step explanation:pythogourus theorem apply here

a²+b²=c²

40²+30²=c²

c²=2500

c=√2500

c=50 yards

hope this helps

plz mark me brainliest

How many solutions does this equation have?

–2 − 10z = –4 − 10z

Answers

Answer:

No solutions

Step-by-step explanation:

To find out how many solutions there are you must solve:

- 2 - 10z = - 4 - 10z

Add 10z to both sides:

-2 = -4

Since the two terms are different from one another, that means that there are no solutions for this equation.

Crunch Bunch cereal boxes come in two sizes. The mini What is the height of the standard size box of Crunch

cereal box of Crunch Bunch is a reduction of the

Bunch?

standard box

1.6 inches

8 in

6.4 inches

10 inches

15.2 inches

Standard Box

Mini Box


The answer is 10

Answers

Answer:

10 inches

Step-by-step explanation:

For we solve this, we can use proportionality

Using the following method

Mini box: height 4 inches and width 3.2 inches

The proportion is: 4 in (height) / 3.2 in (width)

Standard box: height x inches and width 8 inches

x in (height) / 8 in ( width)

So:

x /8= 4/ 3.2

Solving for x:

x = (4/ 3.2) 8

x = 10 inches

As the answer

Answer:

10 inches

Step-by-step explanation:

Nadia has a box of quarters and dimes on her dresser. There are 5 times as many
quarters as dimes in the box. The total number of quarters and dimes is 96. How
many of each coin is in the box?

Answers

Answer:

480= 96x5

Step-by-step explanation:

multiply on a caluculater

The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?

Answers

Answer:

$6.90 is the cost of 9 tennis balls

Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.

Answers

Answer:

The equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Step-by-step explanation:

The equation of the parabola is:

[tex]x = 4\cdot p \cdot y^{2}[/tex]

Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,

[tex]p = 3\cdot m[/tex]

Lastly, the equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Answer: x = (1/12m)(y^2)

Step-by-step explanation:

Focus at (3m, 0)

Directrix equation, x = -3m

Distance from focus = distance from directrix

√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2

(x - 3m)^2 + y^2 = (x + 3m)^2

y^2 = (x + 3m)^2 - (x - 3m)^2

y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2

Collecting like terms and simplifying

y^2 = 6mx + 6mx

y^2 = 12mx

x = (1/12m)(y^2)

b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)

Answers

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

Which ists the steps in the correct order to fnd the medan of this data set? 24 16 23 30, 18 29 1 Put the numbers in order 2. Cross off highvlow pairs 3 Add the leftover numbers 4. Divsde the sum by 1 Pt the numbers in order 2. Cross of highlow pairs 1 Cross off hightow pars 2. Add the 3 Divsle the sum by over numbers 1 Cross of highlow pars

Answers

Answer:

1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

Given:

24, 16, 23, 30, 18, 29

The ordered steps involved in Calculating the median of the data set given :

1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :

16, 18,23,24,29,30

2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left

3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47

4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5

Answer:

A: 1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

edg2020

Mrs.Garcia is making bread using a total of 400 grams of gluten free flour.The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flower to use.

Answers

Answer:

She needs 280 grams of almond flour.

Step-by-step explanation:

This question can be solved using a rule of three.

400 grams is 100% = 1. How much is 70% = 0.7?

400 grams - 1

x grams - 0.7

x = 400*0.7

x = 280

She needs 280 grams of almond flour.

Answer:

120g

Step-by-step explanation:

70% of flour in 400g is expressed as

= 70/100×400

=0.7×400

=280g

Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is

=400g-280g

=120g

Thus, Mrs Garcia requires 120g of almond flour

If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.

Answers

Answer: 14.1 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.

cos α = adjacent side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder

Replacing with the values given:  

cos 62 = x/ 30

Solving for x

cos62 (30) =x

x= 14.1 feet

Feel free to ask for more if needed or if you did not understand something.  

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