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Firlakuza [10]
3 years ago
7

Please help!! In radians, what is the period of the function y = .5cos5x

Mathematics
1 answer:
Levart [38]3 years ago
5 0

Answer:

(2pi)/5

Step-by-step explanation:

The cosine function cos(x) has a period of 2*pi.

If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:

5x = 2*pi

x = 2*pi/5

The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.

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A figure is made of 2 rectangular prisms...<br> what is the volume?
MaRussiya [10]

The volume of the figure that is composed of two rectangular prisms is: 146 cubic in.

<h3>What is the Volume of a Rectangular Prism?</h3>

The volume of a rectangular prism = (length)(width)(height).

The figure can be decomposed into two rectangular prisms. Find the volume of each of the prisms.

Volume of rectangular prism 1:

Length of the prism = 8 in.

Width of the prism = 7 in.

Height of the prism = 1 in.

Volume of rectangular prism 1 = (8)(7)(1) = 56 in.³

Volume of rectangular prism 2:

Length of the prism = 10 in.

Width of the prism = 9 in.

Height of the prism = 1 in.

Volume of rectangular prism 1 = (10)(9)(1) = 90 in.³

Volume of the figure = 90 + 56 = 146 cubic in.

Learn more about volume of rectangular prism on:

brainly.com/question/12917973

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7 0
1 year ago
Find the derivative of
Gre4nikov [31]

Answer:

<u><em>y' = 1 / sinxcosx</em></u>

Step-by-step explanation:

<u>Given :</u>

y = sinx + cosx / sinx - cosx

<u>Applying quotient rule :</u>

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

<u><em>y' = 1 / sinxcosx</em></u>  [⇒ Final answer]

3 0
2 years ago
Read 2 more answers
1- the diameter of a CD is 24 cm nearest to cm .find its upper and lower bound.
Tanya [424]

Answer:

1) Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) I disagree

3) 7.88

4) 2.32

5) Ahmed = 60 kg

Jasim = 20 kg

Dalal = 100 kg

Step-by-step explanation:

1) diameter = 24 cm was rounded up to the nearest cm.

Now, usually, we round up 0.5 to the next whole number. This means that, the actual diameter is;

23.5 ≤ D < 24.5

Thus;

Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) If you weigh 57g,converting to kg is 0.57 kg.

Now, this does not fall in between 56.5kg and 57.5kg given.

Thus, I disagree that your weight could be anything between 56.5kg and 57.5kg .

3) 7.875 approximated to the nearest two decimal place = 7.88

4) 2.3242900000 to the nearest 2 decimal place = 2.32

5) 180 kd shared between ahmed ,jasim and Dalal in the ratio of 3:1:5.

Total part of ratio = 3 + 1 + 5 = 9

Their respective shares are;

Ahmed = 3/9 × 180 = 60 kg

Jasim = 1/9 × 180 = 20 kg

Dalal = 5/9 × 180 = 100 kg

4 0
2 years ago
I don’t know what to do
musickatia [10]

Answer:

okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".

Step-by-step explanation:

6 0
3 years ago
.<br> What is (4x2-9X+1) -(5x2-x-7) written in standard form?
bija089 [108]

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

7 0
3 years ago
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