What’s the volume of the rectangular prism in cubic meters

Answer:

19

Step-by-step explanation:

Answer:

i think the answer 17

Answer:

Step-by-step explanation:

The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.

Answer:

Ln x as opposed to log x

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

[tex]x^2-3x-7x+21[/tex] which simplifies to

[tex]x^2-10x+21[/tex] and we distribute in the 4:

[tex]4(x^2-10x+21)[/tex] to get

[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.

Answer:

The length is 46 inches and the width is 19 inches

Step-by-step explanation:

Let w represent the width.

The length of the rectangle can be represented by 2w + 8, since it is eight more than double the width.

Use the perimeter formula, p = 2l + 2w. Plug in 130 as the perimeter and 2w + 8 as l, then solve for w:

p = 2l + 2w

130 = 2(2w + 8) + 2w

130 = 4w + 16 + 2w

130 = 6w + 16

114 = 6w

19 = w

So, the width is 19 inches. Plug in 19 as w into 2w + 8 to find the length:

2w + 8

2(19) + 8

38 + 8

= 46

The length is 46 inches and the width is 19 inches

Answer:10.25-r= hourly rate

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step 1, setting variables:

We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).

Step 2, writing equations:

Great! We have everything now. Let us write the equation by substituting our variables in:

[tex]V=l*w*h\\V=6w(w+2)\\[/tex]

Ok! Let us expand the equation:

[tex]V=6w^2+12w[/tex]

[tex]\fbox{A}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:

..........................

Answer:

x = 2 ± [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals

the negative reciprocal of 2 is -1/2

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.

Since a total of 14 cups of coffee was served:

[tex]a+b+c=14[/tex]

A total of 204 ounces of coffee was served. Therefore:

[tex]10a+14b+20c=204[/tex]

A total of $16.70 was collected. Hence:

[tex]0.95a+1.15b+1.5c=16.7[/tex]

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract a and b from both sides:

[tex]c=14-a-b[/tex]

Substitute this into both the second and third equations:

[tex]10a+14b+20(14-a-b)=204[/tex]

And:

[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]

And for the Third:

[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]

We can solve this using substitution. From the second equation, isolate a:

[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]

Substitute into the third:

[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]

Distribute and simplify:

[tex]-4.18+0.33b-0.35b=-4.3[/tex]

Therefore:

[tex]-0.02b=-0.12\Rightarrow b=6[/tex]

Using the equation for a:

[tex]a=7.6-0.6(6)=4[/tex]

And using the equation for c:

[tex]c=14-(4)-(6)=14-10=4[/tex]

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.

Answer:

x - 51 [tex]\leq[/tex] 43

x - 99 [tex]\leq[/tex] -104

75 < 69 - x

150 + x ≤ 144

Step-by-step explanation:

Answer:

Yes,

Step-by-step explanation:

When " :) " is used in a bio it means the person is happy

The term line is not defined in Euclidean geometry. ... These words are point, plane and line and are referred to as the "three undefined terms of geometry".

Answer:

LINE is not defined by Euclidian geometry

Step-by-step explanation:

In Euclidean geometry, there are 3 terms that are considered "undefined" they are; point, line and plane.  I think it is because considered undefined because they are described, but not every formally defined.

As in a shape I mean I hope I am right,

Answer:

2+3+4+6 = 15 parts

Village B gets 3 of 15 parts

3/15 * 30000 = 6000 bags

Village C gets 4 of 15 parts

4/15 * 6000 = 8000 bags

Answer:

each "share" needs "15" (2+3+4+6) "portions/bags"

2000 distributions

A-4000 bags/80000 kg

B-6000 bags/120000 kg

C-8000 bags/1680000 kg

D-12000 bags/240000 kg

Step-by-step explanation:

Answer:

29/35

Step-by-step explanation:

Least common denominator of 5 and 7 is 35

[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]

Answer:

-6 & 6

Step-by-step explanation:

-6 time 6 is -36

Answer:

-9+4= -5

Step-by-step explanation:

-9 times 4= -36

Negative Nine plus four equals negative five

negative Nine times four equals negative thirty six

Answer:

9ft =2.743m

kjhgfdfvhhgddfcvh

Answer:

C. (4, -6)

Hope it helps :)

Answer:

850

Step-by-step explanation:

Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.

We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.

So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.

Answer:

Patrice does not have sufficient evidence to reject the fast-food chain's claim.

Step-by-step explanation:

unless she already ate some fries, not enough evidence

Answer:

2

Step-by-step explanation:

log2^8 + log3(1/3)

=>3 + (-1)

=>2

Step-by-step explanation:

base = 11

height = 8

so are is 11 x 8 /2

= 44

Answer:

She will be 17

Step-by-step explanation:

My sister is like that but she's graduating in 22'

It sort of depends where Sarah lives -.-  

But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.

So 15 plus 3.

Sarah will be 18 when she graduates high school.

Answer:

Foss

Step-by-step explanation:

Problem 22

a)

The face cards are Jack, Queen, King. We have four copies of each.

There are 3*4 = 12 face cards total.

12/52 represents the probability of picking a face card.

4/52 represents the probability of picking an ace, since we have 4 aces out of 52 cards. We don't drop to 51 since we put the first card back.

Multiplying the fractions gives (12/52)*(4/52) = 48/2704 = 3/169

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

b)

We do the same steps as before, but the 4/52 will be changed to 4/51. This is because the first card is not put back.

(12/52)*(4/51) = 48/2652 = 4/221

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

Problem 23

a)

4/52 represents the probability of picking a '2', and it also represents the probability of picking a '10' if we put the first card back

(4/52)*(4/52) = 16/2704 = 1/169

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

b)

We'll change the second instance of 4/52 into 4/51 because that first card isn't put back

(4/52)*(4/51) = 16/2652 = 4/663

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

Problem 24

a)

4/52 = probability of picking an ace

12/52 = probability of picking a face card

4/52 = probability of picking '7'

Each denominator is 52 because we are putting the cards back

(4/52)*(12/52)*(4/52) = 192/140608 = 3/2197

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

b)

We do the same thing as before, but we decrease the denominator by 1 each time we pull out another card

(4/52)*(12/51)*(4/50) = 192/132600 = 8/5525

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

Problem 25

a)

The probability of picking a king is 4/52. This is the same whether we're on the first king, second or third. This is because we're putting the card back.

(4/52)*(4/52)*(4/52) = 64/140608 = 1/2197

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

b)

Now that the cards aren't put back, we'll have the denominators drop by 1 each time (52,51,50)

So the probability is

(4/52)*(4/51)*(4/50) = 64/132600 = 8/16575

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

Answer:

it should look like a U shape. Its called a parabola

(0,0) is the bottom center.

Step-by-step explanation:

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736