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3 years ago

A number is k units to the left of 0 on the number line . Describe the location of its opposite

Mathematics

1 answer:

shusha [124]3 years ago

8 0

The opposite of left is right, so the number opposite k is k units to the right.

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You take a test with 32 questions and get 24 correct. What percentage of the questions did you get correct?

Marta_Voda [28]

Answer: 75%

Step-by-step explanation:

The test had 32 questions and from these 32 you were able to get 24 questions right.

The percentage of questions you got right is the percentage of 32 that 24 is.

= Number of correct questions / Total number of questions * 100%

= 24 / 32 * 100%

= 75%

4 0

2 years ago

Find the area of the surface. the part of the hyperbolic paraboloid z = y2 â x2 that lies between the cylinders x2 + y2 = 4 and

lukranit [14]

$x=u\cos v,y=u\sin v\implies z=u^2\sin^2v-u^2\cos^2v=-u\cos2v$

$\mathbf s(u,v)=\langle u\cos v,u\sin v,-u\cos2v\rangle$

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

$\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=5}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv=\dfrac{(101^{3/2}-17^{3/2})\pi}6$

4 0

3 years ago

The screen of an eReader has a length of 8 inches and a width of 6 inches.Can the page content from an atlas that measures 19 in

Ronch [10]

Answer: No, the page content of the atlas cannot be replicated on the eReader.

Please check explanations below for solution to question (b)

Step-by-step explanation: The dimensions of the eReader screen is given as 8 inches by 6 inches. In order to move a rectangular shape such as the atlas onto it would require the same measurements or, a measurement that has the same ratio as both the length and width of the screen, but a reduced size.

This brings us to similar shapes. When two shapes (rectangles in this case) are similar, it simply means there is a common ratio between the corresponding sides, that is the length and the width. If rectangle 1 has its side measuring 8 inches, then rectangle 2 would have the corresponding side having a common ratio with that of rectangle 1. This means the corresponding side in rectangle 2 can either be an enlargement (which would mean 8 times a scale of enlargement) or a reduction (which means 8 divided by a scale of reduction).

In the question given, the eReader screen has dimensions of 8 inches by 6 inches. The atlas has dimensions given as 19 inches by 12 inches. By observation we can see that the width of the atlas is times 2 of the screen. The length of the atlas however is not times 2 of the screen. That is;

Ratio = Rectangle 1 : Rectangle 2

Ratio of Width = 6 : 12

Ratio of Width = 1 : 2

Likewise

Ratio of Length = 8 : 19

Ratio of Length ≠ 1: 2

This proves that the atlas cannot be scaled down to fit properly into the screen. A solution to make this possible would be to resize the length of the atlas to become times 2 of the eReader screen. This would result in the atlas having new dimensions given as

Length = 16 inches

Width = 12 inches

This would ensure that both rectangular shapes are similar and the atlas can now be scaled down by a factor of 2 to fit in properly into the eReader screen.

8 0

3 years ago

What property is demonstrated here? (3x-5) x 4 = 3 x (-5 x 4) A) commutative property of addition B) associative property of mul

inn [45]

Answer:

B) Associative Property of Multiplication

Step-by-step explanation:

*if it's wrong idk how, but I apologise*

7 0

3 years ago

Which of the following is the slope of the line that passes through the points (–3, 13) and (5, –7)?

tamaranim1 [39]

The answer should be the third one

8 0

3 years ago