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3 years ago

What are the solution(s) to the quadratic equation 40 − x2 = 0?

Mathematics

1 answer:

seropon [69]3 years ago

7 0

Step-by-step explanation:

x=2 squareroot 10

x= -2 squareroot 10

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An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss

kicyunya [14]

Answer:

B.35

Step-by-step explanation:

The sequence is

14, ,56,....

14 , x , 56

Think of it as 14 + d = x

x+ d = 56

d is the common difference

We now have 2 equations and 2 unknowns

Substitute the first equation in for x into the second equation

x+d =56

(14+d) +d = 56

Combine like terms

14 + 2d = 56

Subtract 14 from each side

14-14 + 2d = 56-14

2d = 42

Divide by 2

2d/2 =42/2

d = 21

The common difference is 21

Now we can find x

14 + d = x

14+ 21 = x

35 =x

The unknown term is 35

5 0

3 years ago

Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and

Natali5045456 [20]

In cylindrical coordinates, the volume is given with

$\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)$
$=486$

7 0

3 years ago

Read 2 more answers

A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th

Natasha2012 [34]

To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism. You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

The width of the pool is 20 feet.

The length of the pool is 3 x 20 ft or 60 feet.

8 0

3 years ago

Mrs. Bhatia's closet consists of two sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moth

AveGali [126]

Answer:

6.5 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

According to the attachment

The first section has the following dimension:

$Width = 5ft$

$Length = 4ft$

$Height = 8ft$

The second has the following dimension:

$Width = 3ft$ ---- see the last label at the top

$Length = 2ft$ --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft