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When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.

The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:

= 12 × 8 × 6

= 576 inches.

Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:

= 576 - (1/4 × 576)

= 576 - 144

= 432 inches³.

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Answer:

[tex]x + y = -2\\x-y=8[/tex]

Step-by-step explanation:

3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].

1) Create two equations that add and subtract them.

[tex]x + y = -2\\x-y=8[/tex]

2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.

[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]

To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].

[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]

Answer:

1

Step-by-step explanation:

The only common factor is one. If an odd number and and even number are next to each other, and you are calculating the common factors, the common factor is one.

Answer:

it will move from (3,5) to (1,3)

Answer:

b

Step-by-step explanation:

This a very difficult question but im pretty sure its b

Answer:

There are two rectangular prisms and two right triangular prisms

Step-by-step explanation:

The two right-angle triangular prisms can be found on the right and left. One rectangular prism can be found in the middle between those two triangular prims, and the other can be found at the top. Voila.

Using the combination formula, it is found that the number of possible outcomes are given by:

1. 3150

2. 700.

3. 3920.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Item 1:

We have combinations of 2 from 6, 5 from 7 and 3 from 5, all independent, hence we multiply them:

[tex]T = C_{6,2}C_{7,5}C_{5,3} = 15 \times 21 \times 10 = 3150[/tex]

3150 different choices are possible.

Item 2:

1 from 5, 1 from 4 and 4 from 7, hence:

[tex]T = C_{5,1}C_{4,1}C_{7,4} = 5 \times 4 \times 35 = 700[/tex]

700 different combinations are possible.

Item 3:

3 men from a set of 8, 4 women from a set of 8, hence:

[tex]T = C_{8,3}C_{8,4} = 56 \times 70 = 3920[/tex]

3920 ways to select the team of 7.

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Answer:

point form: (3,2), equation form: x=3, y=2

Step-by-step explanation:

Answer: C. Forty dollars.

Step-by-step explanation: $5 times eight hundreds equals forty, therefore you will get $40 from the bank.

40 if u take 100 8 times then it will be 800 and You only times 8by 5 then or 5by 8

also if possible can i have brainliest

One of the biggest downsides for businesses (besides government regulation) is taxes.

The tax is a term to refer to a tribute that must be paid by an individual or group of people associated with a state without direct consideration.

Taxes affect companies because the state establishes some special taxes for companies to export or import their products. In some cases, they are also assigned a tax for receiving large amounts of money as profit for their services.

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Answer:taxes

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

36/9 = 4

4x5= 20

Based on the variable costs and contribution margin, the unit sales price is $80 and the unit contribution margin is $32.

The sales volume in units needed to earn $600,000 is 43,750 units and the amount in dollar sales needed is $3,500,000.

The unit sales price can be found as:

= Variable cost / (1 - contribution margin ratio)

= 48 / (1 - 40%)

= $80

Unit contribution margin is:
= Selling price x Contribution margin ratio

= 80 x 40%
= $32

In units, this amount is:
= (Fixed cost + income required) / Contribution margin

= (800,000 + 600,000) / 32

= 43,750 units

In dollar terms the amount needed is:

= Units needed x selling price

= 43,750 x 80

= $3,500,000

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Answer:

27 cm.

Step-by-step explanation:

As there are 3 sides in a triangle and this is regular , the length of one side

= 81/3

= 27 cm

Answer:

the answer is 1,240

Step-by-step explanation:

you have to add them all up and you will git 1,240.hope this helps if not please let me know

Answer: 6

Step-by-step explanation: simplify is basically solving........

Answer:

15x^2 6y^2 5z^6

Step-by-step explanation:

area = length x width

area =  5x3y5z^2   *   3x2yz^4

Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.

A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.

In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.

4 1/6 = 4. 17

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Answer:

Step-by-step explanation:

Probability of drawing 1st red marble

Probability of drawing 2nd red marble

Probability

Answer:

x = 4

Step-by-step explanation:

I don't know I tried i just divided 3 by 3x and 12

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years \end{cases}[/tex]

[tex]3000=2000\left(1+\frac{0.095}{2}\right)^{2\cdot t} \implies \cfrac{3000}{2000}=1.0475^{2t}\implies \cfrac{3}{2}=1.0475^{2t} \\\\\\ \log\left( \cfrac{3}{2} \right)=\log(1.0475^{2t})\implies \log\left( \cfrac{3}{2} \right)=t\log(1.0475^{2}) \\\\\\ \cfrac{\log\left( \frac{3}{2} \right)}{\log(1.0475^{2})}=t\implies 4.37\approx t\qquad \textit{about 4 years and 4 months and a half}[/tex]

Answer:

2/9

Step-by-step explanation:

12,14,16,18 are all greater than 10, which is 4/18 numbers, simplified as 2/9

Answer: 13/18

Step-by-step explanation:

First you add up the amount of even numbers and the amount of numbers greater than 10

2,4,6,8,10 make 5 then add 8 more for 11-18, leaving you with 13 then take 13 and divide it by the total (18) and you will get 0.72 or 13/18

Answer:

4

Step-by-step explanation:

if you have 2 apples and you get 2 more apples how many do you have.

Answer:

16

Step-by-step explanation:

well, if you remember P.E.M.D.A.S, which is the order for doing equations, the first two dont matter, but from M for Multiplication, D for Division, A for addition, and finally S for Subtraction, those are the ones that you need here. So you divide the 9s first giving you 9-1+9-1=8+8=16.

First, we need to find how many years are in between 1977 and 2004:
2004-1977 = 27

And the different between the prices:
175-15 = $160

Since this is supposed to be linear, we can do 160/27 which is about 5.925.

We can round this out to be about $6 cheaper per year, or $5.90.

Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.

[tex]\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k[/tex]

[tex]\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k[/tex]

[tex]\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]

At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.

As I mentioned in comments, if the i-component had instead been [tex]axy+bz^3[/tex], we would have ended up with

[tex]\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]

in which case we would have b = 0.

I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,

[tex]\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy[/tex]

[tex]\dfrac{\partial\Phi}{\partial y} = 3x^2 - z[/tex]

[tex]\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y[/tex]

Let's start with the last equation. Integrating both sides with respect to z yields

[tex]\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)[/tex]

Now differentiate both sides with respect to y :

[tex]\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2[/tex]

Integrate both sides of the latter PDE with respect to y to solve for g :

[tex]g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)[/tex]

Now we differentiate Φ with respect to x :

[tex]\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0[/tex]

Integrate to solve for h :

[tex]h(x) = \displaystyle \int 0 \, dx = C[/tex]

where C is an arbitrary constant.

So the scalar function whose gradient is our "fixed" field f is

[tex]\Phi(x,y,z) = -yz + 3x^2y + C[/tex]

Answer:

y = -x +0

Step-by-step explanation:

y = mx + b

y= slope * x + y-intercept

To find slope, use any x and y pair from the table, for example (x= 5, y= -5)

slope = y/x = -5/5 = -1

y=  -x + b

To find b the y-intercept, substitute any x and y pair from the table, for example (x= 5, y= -5)

-5 = -5 +b

 b = 0

The linear equation that gives the rule for this table is

y = -x + 0 or just y = -x

Answer:

Thus, 12+14+16=42.

Step-by-step explanation:

Hope this helps.