How do you solve systems with 3 variables?

Answer:

Divide 3722 over 7 and convert it into dollars

Step-by-step explanation:

Divide 3722 over 7 and convert it into dollars

A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.

The following steps can be used to find a coterminal angle between 0 and 360 degrees:

Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.

Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.

The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.

The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.

Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

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Answer:

6,480

Step-by-step explanation:

1 ft = 12 in.

1 x 12

12

2.5 x 12

30

12 x 30

360 x 18

6,480

Answer:

r = 9

Step-by-step explanation:

Given

r + 3 = 3(r - 5) ← distribute

r + 3 = 3r - 15 ( subtract r from both sides )

3 = 2r - 15 ( add 15 to both sides )

18 = 2r ( divide both sides by 2 )

9 = r

Answer:

r = 9

Step-by-step explanation:

r + 3 =3 (r - 5)

1. remove brackets and simplify

r + 3 = 3r − 15

2. Subtract 3r from both sides

r + 3 −3r = 3r −15 −3r

−2r + 3 = −15

3. Subtract 3 from both sides.

−2r + 3 −3 = −15 −3

−2r = −18

4. Divide both sides by -2.

−2r = −18

___   ___

-2    =  -2

r = 9

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Answer:

A, y = -40x+300

Step-by-step explanation:

y=180

x=3

180=-40(3)+300

180=300-120

Answer:

85,1 ft^2

Step-by-step explanation:

Semicircle area : 4^2π / 2 = 8π = 25,1 ft^2

Triangle area : (8 x 15) / 2 = 60 ft^2

Total Area = 60 + 25,1 = 85,1 ft^2

Answer: 9 is the answer

Step-by-step explanation:

“ Since f(n+1) = f(n)

If n= 1

f(2) = f(1)

if n= 2

f(3) = f(2) = 9 {since f(3) is 9}

Since f(2) is now 9 and f(2) = f(1), therefore f(1) will also be 9.

No answer!”

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

d

Step-by-step explanation:

Answer:

80 & 105

Step-by-step explanation:

Answer:

0.44

Step-by-step explanation:

0.5-0.3 x0.2 (multiply)

0.5x0.06 = 0.44

(calculate)

Answer:

y = x - 4

Step-by-step explanation:

In y = ax + b form, a is the slope and b is the y intercept so a = 1 and b = -4, thus y = x - 4

So, this is pretty simple. First, we need to know that slope intercept form is y=mx+b, m equals slope and b equals y intercept. Thus, the equation will be y=1x-4. When you have a positive number as your y intercept then it would have a + after mx but, since we have a negative number here it will have a - after mx.

I hope this helped! Have a great day and reach out to me if you need any more help!

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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The first partial derivatives of the function z = x sin(xy) is x²cos(xy)

The term partial derivatives is defined as the rate of change of a function with respect to a variable and the derivatives are fundamental to the solution of problems in calculus and differential equations.

Here we have given that the function z = x sin(xy).

And as per the definition of partial derivative the value is calculated as,

Here we have given that

=> f(x, y) = x sin(xy)

And then here we need to find fx​ we treat y as constant and differentiate with respect to x, then we get

=> fx = sin(x y) + xy cos(xy)

Similarly now we have to find fy​ we treat x as constant and differentiate with respect to y

=> fy​ = x²cos(xy)

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Answer:

Step-by-step explanation:

2 is the correct answer

Answer:

4

Step-by-step explanation:

The answer is the LCM of all the denominators (Least Common Multiple)

All the denominators: 4, 2, 4

The LCM of this set of denominators is 4.

The answer is 4.

Check: \(-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m\)

\(-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m\)

for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B

Answer:

Step-by-step explanation:

I assume your expression is:

6x^3-60x^2+144x.

I'll use that information.

Factor 6x^3−60x^2+144x

6x^3−60x^2+144x

=6x(x−4)(x−6)

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Answer:

19.2 lbs of dog food in 5 weeks

Step-by-step explanation:

12 divided by 5 is 2.4

So that means each week the dog consumes 2.4 lbs of food each week.

If we want to see how much he eats in 8 weeks, we'd multiply 2.4 by 8, giving us 19.2

Answer:

2:1

Step-by-step explanation:

4 pineapples, 2 bananas

4:2

2:1 (If reduced)

Answer: Quarters

Step-by-step explanation:

Answer:

1 1/4 cups

Step-by-step explanation:

Answer:

1 1/4 cups of punch.

Step-by-step explanation:

Since 2 1/2 cups of sherbet are needed to make 24 cups, and we need to make 12 cups of punch, it's basically 24 divided by 2. So we need to divide 2 1/2 by 2, which would be 1 1/4 cups.

Answer:

2.4

Step-by-step explanation:

12/5 as a decimal is 2.4

Hope this helps!

Answer:

2.4

Step-by-step explanation:

You can either use long-division or a calculator! There's no way to write the exact steps, but let me know if you need them because I can try to write them out for you!

The solution of the given initial value problem:

y" + 4y' + 4y = 8 - 4x, y(0) = 1, y'(0) = 2` is given by \(`y(x) = 1/2 (x - 1)^2 + 2x - 1`\).

Steps to solve the given initial value problem:

We are given an initial value problem `y" + 4y' + 4y = 8 - 4x, y(0) = 1, y'(0) = 2`.The characteristic equation is \(`m^2 + 4m + 4 = (m + 2)^2 = 0`\).

Therefore, the characteristic roots are `m = -2` and `m = -2`.We have repeated roots, so the solution will have the form `y(x) = (c_1 + c_2 x) e^(-2x)`.The right-hand side of the differential equation is `g(x) = 8 - 4x`.

We find the particular solution `y_p(x)` by using undetermined coefficients method. We will assume `y_p(x) = Ax + B` where A and B are constants. Substituting `y_p(x)` and its derivatives in the differential equation, we get:

$$0y" + 4y' + 4y = 8 - 4x$$$$\Rightarrow 0 + 4A + 4(Ax + B) = 8 - 4x$$$$\Rightarrow (4A - 4)x + 4B = 8$$$$\Rightarrow 4A - 4 = 0$$and $$4B = 8 \Rightarrow B = 2$$

Thus, the particular solution is `y_p(x) = 2x`.

The general solution of the differential equation is `y(x) = (c_1 + c_2 x) e^(-2x) + 2x`.

Using the initial conditions `y(0) = 1` and `y'(0) = 2`, we get the following equations:

\($$y(0) = c_1 = 1$$$$y'(0) = c_2 - 2 = 2$$$$\Rightarrow c_2 = 4$$\)

Therefore, the solution of the initial value problem `y" + 4y' + 4y = 8 - 4x, y(0) = 1, y'(0) = 2` is \(`y(x) = 1/2 (x - 1)^2 + 2x - 1`\).

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Answer:

P+Q=5x²+4 and P-Q=x²+4x-16

Step-by-step explanation:

For P+Q

\(=3x^{2} +2x-6+2x^{2} -2x+10\\\\=5x^{2} +2x-2x-6+10\\\\=5x^{2} +4\)

For P-Q

\(=3x^{2} +2x-6-(2x^{2} -2x+10)\\\\=3x^{2} +2x-6-2x^{2} +2x-10\\\\=x^{2} +4x-16\)

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862