Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime​

Answer:

Colin will have to wait for 2 hours for the pond to completely empty

Step-by-step explanation:

Volume of a Prism

The volume of a prism of base area Ab and height H is computed with the formula:

V=Ab.H

We are given a pond in the shape of a prism with a trapezoidal base (front view).

The area of a trapezoid of bases b1 and b2, and height a, is given by:

[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]

The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:

[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]

[tex]A_b=2\ m^2[/tex]

The height of the prism is H=1m, thus the volume of the pond is:

[tex]V=2\ m^2*1\ m[/tex]

[tex]V=2\ m^3[/tex]

It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:

[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]

The pond still has this volume of water:

[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]

The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in

[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]

Thus, Colin will have to wait for 2 hours for the pond to completely empty

Answer:5%

Step-by-step explanation:

Answer:

Your answer is A

Step-By-Step

did it on edge

Answer:

First you find how many miles can Gavin run in 1/12 of an hour. That way you can use it to times 12 and to find 12/12 of an hour which is 1 hour.

Turn it into an improper fraction. 2×5=10 then add that 10 to the numerator 3 and it'll be 13/5 miles in 7/12 hours. Then divide it by 7.

[tex] \frac{13}{5} \div 7 = \\ \frac{13 }{5 \times 7} = \frac{13}{35} [/tex]

So 13/35 is how many miles Gavin runs in 1/12 of an hour. Now times is by 12 = 146/35

Or

[tex]4 \frac{6}{35} [/tex]

miles per hour

Answer:

The local train's journey time is 1.3 times as long as the journey time of the express train.

Step-by-step explanation:

Given that:

Travelling time of express train = 2 hours and 45 minutes

We will convert this time into minutes

Travelling time of express train = 2*60 + 45 = 120+45 = 165 minutes

Travelling time of local train = 3 hours and 40 minutes = 220 minutes

Let,

n be the number of times.

Local train travelling time = Number of times * Express train travelling time

220 = n * 165

Dividing both sides by 165

[tex]\frac{220}{165}=\frac{165n}{165}\\1.3 = n[/tex]

Hence,

The local train's journey time is 1.3 times as long as the journey time of the express train.

Answer:

The total change in his account is represented by the integer -5

Step-by-step explanation:

Operations With Integers

We need to perform addition and subtraction to complete the answer to this problem.

Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.

The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.

The net operation or total change in the account is: -$17 + $12.

Subtracting and simplifying: -$17 + $12 = -$5

The total change in his account is represented by the integer -5

Number of boxes = 3 across x 4 deep = 12 total boxes.

Each box has 6 tissues.

Total tissues = 6 per box x 12 boxes = 72 tissues.

Answer:

B: 4/d-6

Step-by-step explanation:

Plato answer

Answer:

TBH IF YOU WANT TO ROAST I GOT NO IDEA BUT THIS IS THE THING I DO

Step-by-step explanation:

Well to be honest I think you should just treat him the same say the same things you would normallily say when you didnt know he waS

Answer:

Go back to roasting them be the cool one

Step-by-step explanation:

Answer:

C = 2p² + 3p - 5

Step-by-step explanation:

Let A & B denote the other two adjacent sides respectively.

Let the third side be denoted by C

Given the following data;

Perimeter of triangle = 6p² - 4p + 9

Length of one side = p² - 2p + 1

Length of one side = 3p² - 5p + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

6p² - 4p + 9 = p² - 2p + 1 + 3p² - 5p + 3 + C

6p² - 4p + 9 = 4p² - 7p + 4 + C

C = 2p² + 3p - 5

Answer:

B) shift 3 units left and 4 units down

its a 100% increase since the amount completely doubled

hope this helps!!

Answer:

It is a 100% increase

Step-by-step explanation:

Answer:

G = 0.75s

Step-by-step explanation:

First find the unit rate: How many gallons of water can be pumped in 1 second. This means you just have to divide by however many seconds it is being pumped. I'm using 12 and 9. 9/12 = 0.75. This means that in 1 second 0.75 or 3/4 of a gallon will be pumped. Therefore:

G = 0.75s

The prediction of the amount of gasoline that is present on the Jet after it has been in flight for 18 hours without stopping to refuel is given as follows:

-52,750 gallons.

(as the estimate is negative, it means that the plane has to stop to refuel before that).

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

The coefficients of the function are given as follows:

The graph touches the y-axis at y = 422,000, hence the intercept b of the function is given as follows:

b = 422000.

When x = 2, y = 369250, hence the slope m is calculated as follows:

m = (369250 - 422000)/2 = -26375.

Then the linear function giving the amount of gasoline present after x hours is of:

y = -26375x + 422000.

After 18 hours, the estimate of the amount of gasoline in the tank is given as follows:

y = -26375(18) + 422000 = -52,750 gallons.

More can be learned about linear functions at https://brainly.com/question/24808124

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Answer:

the correct answer is :

A) 2× 3 = 6

B) g(6) = 6 + 1 =7

Answer:

that's the answer in pic

The triangles are congruent by the SAS Postulate.

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

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Answer:

Mr.Samson is 58 years old. Mr.Rogers is 35.

Step-by-step explanation

Samson's age            Roger's age

      2x - 12                          x          ( 12 years less than twice Mr.Rogers(x))

Equation:   2x - 12 + x = 93            Sum of ages is 93

3x - 12 = 93           Simplified

x = 35               Solve

Rogers = x, so Rogersis 35

But Sampson is 2x - 12 ( 2 * 35 - 12 ), so Sampson is 58

Answer:

3/13

Step-by-step explanation:

Answer:

13/3

​

Step-by-step explanation: There are 6 red face cards in all red cards

Total number of possible outcomes=26

P (red face card) =

26/6=3/13

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer:

Blank #1 : 2S + 4B ≥ 36

Blank #2: 1

Step-by-step explanation:

Blank#1: that is the equation

Blank#2: 8 x 4 =32 one bracelet is 4 32 + 4 =36, the amount needed

Answer:

Chad's claim is incorrect

Step-by-step explanation:

The homework problems that complete the question are:

[tex]3x^2.2x^4[/tex]

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

[tex]3(2x + 7)[/tex]

[tex]7x^2 +2x -3x^2 -9[/tex]

[tex]\frac{2}{3} = \frac{x+2}{6}[/tex]

Required

Is Char right?

From the homework problems above, there are 5 mathematical problems

So:

Chad's claim that he had 5 equations.

A mathematical expression is an equation if it has an = sign

So for Chad's claim to be correct; at least 4 of the mathematical problems must have an = sign

By the explanation done above, we have the following observations

[tex]3x^2.2x^4[/tex] -> No Equation

[tex]5 - 2x = 3x[/tex] -> Equation

[tex]3(2x + 7)[/tex] -> No Equation

[tex]7x^2 +2x -3x^2 -9[/tex] -> No Equation

[tex]\frac{2}{3} = \frac{x+2}{6}[/tex]  -> Equation

Apparently, only 2 of the 5 problems are equation.

Hence, Chad's claim is incorrect.

Answer:

the answer is 17x+10

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Since I am given two values of the triangle, I will input the equation a²+b²=c².

"c" represents the hypotenuse. First I plug in the values of the legs, 12²+16²=c². Next I simplify these values to 144+256=c², which is 400=c². Finally I take the square root from both the value and the variable: √400=√c² which is equivalent to 20=c. Therefore, the hypotenuse is 20. Hopefully this helps :)

Answer:

20

Step-by-step explanation:

P/5 + 6 = 10

P/5 = 10 - 6

P/5 = 4

(cross multiply)

P = 5 × 4

P = 20

Answer:

B

Step-by-step explanation:

Answer: D eighteen thirds

Step-by-step explanation:

You can aslo solve it as 9/1 *2/3 all you would need to do is multiply 9*2 with is eighteen

Answer:

it should be 18/3

Step-by-step explanation:

Answer:

x = 3, y = 2

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{6}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3

and

[tex]\frac{y}{4}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )

3y = 6 ( divide both sides by 3 )

y = 2

answer:

1.0290292e+82

Step-by-step explanation:

asked my bed