Factor the trigonometric expression. 5sin^2x-8sinx-4

Answers

Answer 1

Answer: (sin(x)-2)(5 sin(x)+2)

Answer 2

Answer: 4(5sin^2(x)cos^2(x)-2sin(x)-1)

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36 diveded to 68251500

Answers

Answer: do you mean divided

If so the answer is

1895875

Step-by-step explanation:

68251500÷36=1895875

Can someone please help me god bless!

Answers

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let's solve :

$12x + 20y = 20$

$20y = 20 - 12x$

$y = (20 - 12x)/(20)$

$y = (20)/(20) - (12x)/(20)$

$y = 1 - (3)/(5) x$

so, the slope intercept form of given line will be :

$y = - (3)/(5) x + 1$

Answer:

130

Step-by-step explanation:

sorry if wrong :-( :-( :-(

Find an equation of the plane. the plane through the point (3, 0, 7) and perpendicular to the line x = 5t, y = 2 − t, z = 8 + 4t

Answers

Let's write the parametric line

(x,y,z) = (0,2,8) + t(5,-1,4)

(5,-1,4) is called the direction vector of the line. It's normal to the plane

5x - y + 4z = constant

We get the constant by substituting the point (3,0,7),

5x - y +4z = 5(3) - 0 + 4(7) = 43

5x - y +4z = 43

Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a service facility. Suppose they are normal random variables with means of 50 minutes, 60 minutes, and 40 minutes, respectively. The standard deviations are 15 minutes, 20 minutes, and 10 minutes, respectively. a Suppose X1, X2, and X3 are independent. All three repairs must be completed on a given object. What is the mean and variance of the total repair time for this object.

Answers

Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

$y=x_1+x_2+x_3 \n\nE(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\n\nE(y)=50+60+40=150$

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

$V(y)=V(x_1)+V(x_2)+V(x_3)\n\nV(y)=s_1^2+s_2^2+s_3^2\n\nV(y)=15^2+20^2+10^2\n\nV(y)=225+400+100\n\nV(y)=725$

The area of the square is 36 cm. 2 what is the formula that shows the length or side b

Answers

Answer:

36=b^2 or b=the square root of 36

Step-by-step explanation:

The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.

Answer:

Step-by-step explanation:

b · b = 36

What is the area of the parallelogram below?A. 7 in
B. 14 in
C. 15 in
D. 12 in