36y=9x+1/3y Solve for y

Answer:

x = 45

135°

Step-by-step explanation:

180 - 45 = 135

3x = 135

3x/3 = 135/3

x = 45

Answer:

45 degrees

Step-by-step explanation:

Since 45 and 3x are on a straight line together, they add up to 180 degrees. This means you can have the equation

45 + 3x = 180

subtract 45 from both sides

3x = 135

x = 45 degrees

Answer:

625 ml

Step-by-step explanation:

1 litre is 1000 milliliters

1000 milliliters minus 375 milliliters is 625 milliliters

you have to subtract because you are looking for what is left

Answer:

a. [tex]\frac{3}{2}[/tex]

b. [tex]\frac{15\pi }{4}[/tex]

c. [tex]\frac{81\pi }{2}[/tex]

d. [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

P.S - The exact question is -

a. [tex]\int\limits^1_0 {3x} \, dx[/tex]

y = 3x

Shape of the given integral = A Triangle

Area of Triangle = [tex]\int\limits^1_0 {3x} \, dx[/tex] = [tex]\frac{1}{2}[/tex]×1×3 = [tex]\frac{3}{2}[/tex]

The graph of integral is as follows :

b.[tex]\int\limits^\15 _0 {\sqrt{15 - y^{2} } } \, dy[/tex]

x = [tex]\sqrt{15 - y^{2} }[/tex]

⇒x² = 15 - y²

⇒x² + y² = 15

⇒x² + y² = (√15)²

Shape of the integral = Quarter circle of radius √15

Area of Quarter circle = [tex]\int\limits^\15 _0 {\sqrt{15 - y^{2} } } \, dy[/tex] = [tex]\frac{1}{4}[/tex]×[tex]\pi[/tex]×r² = [tex]\frac{1}{4}[/tex]×[tex]\pi[/tex]×(√15)² = [tex]\frac{15\pi }{4}[/tex]

The graph of the following integral is as follows :

c.[tex]\int\limits^9_-9 {\sqrt{81 - x^{2} } } \, dx[/tex]

y = [tex]\sqrt{81 - x^{2} }[/tex]

⇒y² = 81 - x²

⇒y² + x² = 81

⇒y² + x² = 9²

Shape of the integral = Semi circle of radius 9

Area of semi circle = [tex]\int\limits^9_-9 {\sqrt{81 - x^{2} } } \, dx[/tex] = [tex]\frac{1}{2}[/tex]×[tex]\pi[/tex]×r² =  [tex]\frac{1}{2}[/tex]×[tex]\pi[/tex]×9² = [tex]\frac{81\pi }{2}[/tex]

The graph of the following integral is as follows :

d. [tex]\int\limits^7_0 {5 - \frac{y}{7} } \, dy[/tex]

x = 5 - [tex]\frac{y}{7}[/tex]

⇒[tex]\frac{y}{7}[/tex] = 5 - x

⇒y = 35 - 7x

At y = 0 , x = 5

At y = 7 , x = 4

Shape of the integral = A triangle

Area of Triangle = [tex]\frac{1}{2}[/tex]×(5-4)×7 =  [tex]\frac{1}{2}[/tex]×(1)×7 = [tex]\frac{7}{2}[/tex]

The graph of the integral is as follows :

Answer:

B. 4

Step-by-step explanation:

The coefficient of y is the number next to y, so 4.

Answer:

[tex]P(A) = \frac{30}{100}[/tex]

[tex]P(B) = \frac{77}{100}[/tex]

[tex]P(A\ n\ B) = \frac{22}{100}[/tex]

[tex]P(A\ u\ B) = \frac{85}{100}[/tex]

Step-by-step explanation:

Given

See attachment for proper format of table

[tex]n = 100[/tex] --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

[tex]Yes = 22[/tex] and [tex]No = 8[/tex]

So, we have:

[tex]n(A) = Yes + No[/tex]

[tex]n(A) = 22 + 8[/tex]

[tex]n(A) = 30[/tex]

P(A) is then calculated as:

[tex]P(A) = \frac{n(A)}{Sample}[/tex]

[tex]P(A) = \frac{30}{100}[/tex]

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

[tex](1) = 22[/tex]    [tex](2) = 25[/tex] and [tex](3) = 30[/tex]

So, we have:

[tex]n(B) = (1) + (2) + (3)[/tex]

[tex]n(B) = 22 + 25 + 30[/tex]

[tex]n(B) = 77[/tex]

P(B) is then calculated as:

[tex]P(B) = \frac{n(B)}{Sample}[/tex]

[tex]P(B) = \frac{77}{100}[/tex]

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

[tex]n(A\ n\ B) = 22[/tex]

The probability is then calculated as:

[tex]P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}[/tex]

[tex]P(A\ n\ B) = \frac{22}{100}[/tex]

Solving (d): P(A u B)

This is calculated as:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex]

This gives:

[tex]P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}[/tex]

Take LCM

[tex]P(A\ u\ B) = \frac{30+77-22}{100}[/tex]

[tex]P(A\ u\ B) = \frac{85}{100}[/tex]

Answer:

3/2 g.oogle if you want the explanation of your work.

Answer:

The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.

In the last segment, it moved up again for 2 hours.

It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

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Answer:

The perimeter of the isosceles right triangle is 68.28 cm.

Step-by-step explanation:

Given;

area of the isosceles right triangle, A = 200 cm²

let the two equal sides of the triangle = base (b) and height (h)

Area of the isosceles right triangle is calculated as;

[tex]A= \frac{1}{2} bh \\\\But, b = h\\\\A = \frac{1}{2} b^2\\\\200 = \frac{1}{2} b^2\\\\400 = b^2\\\\\sqrt{400} = b\\\\20 \ cm = b[/tex]

let the hypotenuse side of the isosceles right triangle = c

c² = b² + h²

c² = 20² + 20²

c² = 800

c = √800

c = 28.28 cm

The perimeter of the isosceles right triangle is calculated as;

P = b + h + c

P = 20 cm + 20 cm + 28.28 cm

P = 68.28 cm

Therefore, the perimeter of the isosceles right triangle is 68.28 cm.

Answer:

594.1

Step-by-step explanation:

87÷15=5.1

672-83=589

so then you add those to together and get 594.1

Answer:

600.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

x = -1 and x = 11

Step-by-step explanation:

x² - 10x - 11 can be factored to be (x + 1) (x - 11)

x + 1 = 0

x = -1

x - 11 = 0

x = 11

Answer: 65°

Explanation:

We are given that angle ACB is 40° and angle CAB is 25°.

Since the two triangles are congruent to each other, the angle of CAB is equal to the angle ACD- of which both are 25°

Similarily, angle ACB is equal to angle CAD- 40°

Knowing that angle CAB is 25° and angle CAD is 40°, simply add the two together to compute angle DAB:

25°+40°=65°

Thus, angle DAB is 65°

Answer: 0.2

Step-by-step explanation:

Answer:

The reciprocal of 5 is 1/5 (0.2).

Answer:

1 package is 13.8 pounds and 8 packages is 110.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Final amount is:

Answer:

$896.36

Step-by-step explanation:

GIVEN

Answer:

C5

Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4.  Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.

10x2= 20 +5= 25 Answer:5

Answer:

n = 4

Step-by-step explanation:

Answer:

x = -2

y = -5

Step-by-step explanation:

Properties of a Parallelogram

Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:

y + 23 = -4y - 2.  And

-2x + 6 = x + 12

Solve the first equation. Adding 4y:

5y + 23 = - 2

Subtracting 23:

5y = -25

Dividing by 5:

y = -5

Solve the second equation. Subtracting x and 6:

-3x = 6

Dividing by -3:

x = -2

Solution:

x = -2

y = -5

Answer:

its 12.08percent

Step-by-step explanation:

12.8 percent

What are the basic principles of probability?

Let's suppose the number of heads is r which represents the head times and in this case r = 4

Assuming that the coin is unbiased, you have the probability of success ‘p’(where p is considered as success)  [tex]\frac{1}{2}[/tex] and the probability of failure ‘q’ (where q is considered as failure).

The number of trials is represented by the ’n’ and here n = 12.

Now use the function for a binomial distribution:

P(R = r) = nCrprqn-r

P(R = 4) = (12C4)(1/2)4(1/2)12-4  

             = 495/4096

           =  [tex]\frac{495}{4096\\}[/tex]

           = 12.0849609%

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Step-by-step explanation:

Carmen's water bottle = 1.8 litres ≈ 2 litres

Jorge's water bottle = 2[tex]\frac{2}{5}[/tex] = 2.4 litres ≈ 2 litres

Therefore, from estimate, Jorge's water bottle does not hold half litre more of water than Carmen's.

Actual difference = 2.4 - 1.8 = 0.6 litres

Answer:

11.25 :D

Step-by-step explanation:

Answer:

I think B but I am not sure.

The depreciated value of the pick-up after 3 years is $15,225

Given that Amarosa Logistics purchased a new pick-up for the office employees to use for $28,000.00.

The vehicle is expected to last for 10 years with a residual value of 56,250,00.

The depreciation is linear and the pickup's value can be determined by the equation

p(t) = -21755t + 28,000

To find the depreciated value of the pick-up after 3 years

Plug in t as 3

p(t) = -21755(3)+ 28,000

=$15,225

Hence, $15,225 is the depreciated value of the pick-up after 3 years

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