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blagie [28]
3 years ago
12

How do I simplify the expression 4p-5(p+6)

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0
First distribute the 5 into the parenthesis
4p -5p-30
Combine like terms
-p - 30
pochemuha3 years ago
7 0
4p - 5p - 30 = -1p - 30
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What is the shortest horizontal shift of a sine curve that will turn it into a cosine curve?
77julia77 [94]

The shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of <u>90°( π/2 radians)</u>.

The function y = sin x defines a sine wave as a geometric waveform that oscillates (moves up, down, or side to side) frequently. It is an s-shaped, smooth wave that oscillates above and below zero, to put it another way.

Technical analysis and trading both employ sine waves to assist spot oscillator-related patterns and cross-overs.

Similar to the sine graph, the cosine graph is an up-down graph. The sine graph and cos graph are identical except that the sine graph begins at 0, whereas the cos graph begins at <u>90° (or π/2)</u>. The cosine (cos) graph shown below starts at 1 and drops to -1 before rising once again.

Thus, the shortest horizontal shift of a sine curve that will turn it into a cosine curve is a shift of <u>90°( or π/2 radians)</u>.

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3 0
1 year ago
How many square feet of carpeting will be needed if the measurements are 19 and a half 31 and 7 eights 13 and three fifths 11 an
Leya [2.2K]
It depend on the shape of the carpet. You need to show the shape of the carpet to get an accurate answer on your question.
6 0
3 years ago
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Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the
dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is A=\frac{lwh}{3} . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

3 0
3 years ago
each batch of mrs.claus toffee makes 14 pieces of toffee if the elves need 8 dozen pieces of toffee how many batches does mrs.cl
Radda [10]
Mrs Claus must make 7 batches
4 0
3 years ago
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Please help me out.​
grandymaker [24]

Answer:

it's 4

Step-by-step explanation:

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6 0
3 years ago
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