MATHEMATICS
HIGH SCHOOL

7594, 3649, 9253, ......

Answer: 7594 - 3649 = 3945

I subtracted 3945

9253 - 3649 = 5604

I subtracted 5604

Together I added 5604 from the second to the third number

So now the pattern is to subtract

3945

and then add

5604

7594⇒3649⇒9253⇒5308

I did that by doing: 9253-3945

Hope this helps

I subtracted 3945

9253 - 3649 = 5604

I subtracted 5604

Together I added 5604 from the second to the third number

So now the pattern is to subtract

3945

and then add

5604

7594⇒3649⇒9253⇒5308

I did that by doing: 9253-3945

Hope this helps

Answer: 7594 - 3649 = 3945

So, from the first number to the second number we are subtracting 3945.

9253 - 3649 = 5604

So, from the second number to the third number we are adding 5604.

Now, from the third to the fourth number we should subtract 3945. And them from the fourth to the five number we should add 5604. And so on.

7594, 3649, 9253, 5308, 10912, 6967, 12571, ...

So, from the first number to the second number we are subtracting 3945.

9253 - 3649 = 5604

So, from the second number to the third number we are adding 5604.

Now, from the third to the fourth number we should subtract 3945. And them from the fourth to the five number we should add 5604. And so on.

7594, 3649, 9253, 5308, 10912, 6967, 12571, ...

COLLEGE

The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the depth of the mulch (d) in feet. If you need 10 bags to mulch 120ft to a depth of 3in. How many bags do you need to mulch 200ft to a depth of 4in? HELPPP ASAP WILL GIVE BRAINLIST !!!

Answer:

22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

n = kad

10 = k·(120)(1/4)

10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

n = (1/3)·(200)·(1/3) = 200/9

n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

Comment on the problem

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

MIDDLE SCHOOL

What is the distributive property of 14×27

14×(27×0)

Distribute 14 to both.

378 and 0

378+0=378

I am not completely sure, but I am about 90% sure this is correct.

Distribute 14 to both.

378 and 0

378+0=378

I am not completely sure, but I am about 90% sure this is correct.

HIGH SCHOOL

Solve the formula for the indicated variable c=yt+y,for t (the solution is t=___)

C=yt+y. Divide both sides by y and u get c/y=t+1 subtract 1. The ANSWER IS c/y-1=t

COLLEGE

Use Laplace transforms to solve the initial value problem. x" + 9x = 1;x (0) = 0 = x' (0)

Answer: The required solution of the given IVP is

Step-by-step explanation: We are given to use Laplace transforms to solve the following initial value problem :

We will be using the following formula for the Laplace transform :

Applying Laplace transform on both sides of the above equation, we have

Taking inverse Laplace transform on both sides of the above equation, we get

Thus, the required solution of the given IVP is

MIDDLE SCHOOL

15 is less than ⬛️ divided by 400

⬛️ = Blank

Let us label the blank by x.

Then,

15" alt="\frac{x}{400} >15" align="absmiddle" class="latex-formula">

x > 6000

Answer:

All values more than 6000.

Step-by-step explanation:

Let x be the unknown value in the given problem,

That is,

15 <

∵ 400 > 0

0 )" alt="(\because a < b \implies ca < cb\text{ where }c > 0 )" align="absmiddle" class="latex-formula">

Hence, all values greater than 6000 is the solution of the given phrase.

COLLEGE

Se spherical coordinates to evaluate the triple integral ∭e(x2+y2+z2)dv, where e is the ball: x2+y2+z2≤81.

Converting to spherical coordinates, we use

Then

Then

MIDDLE SCHOOL

How do you write 2x+2y=8 in slope-intercept form?

Subtract 2x from both sides of the equation (2y=-2x+8) , divide the entire equation by 2 to find y. These makes the equation y=-x+4

COLLEGE

In Canada, households spent an average of $80.63 CDN monthly for high-speed broadband access.24 Assume that the standard deviation is $27.32. If you ask an SRS of 500 Canadian households with high-speed broadband access how much they pay, what is the probability that the average amount will exceed $85?

Answer:

Step-by-step explanation:

Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = amount spent by the Canadian households.

u = mean amount spent monthly.

s = standard deviation

From the information given,

u = $80.63 CDN

s = $27.32 CDN

We want to find the probability that the average amount will exceed $85. It is expressed as

P(x greater than 85) = 1 - P(x lesser than or equal to 85)

For x = 85

z = (85 - 80)/27.32 = 0.18

Looking at the normal distribution table, the corresponding z score is 0.57142

P(x greater than 85) = 1 - 0.57142 = 0.43

HIGH SCHOOL

Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)