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Nadya [2.5K]
2 years ago
11

Question 6 The point (-2, 1); is on the graph of which of these functions?

Mathematics
1 answer:
julsineya [31]2 years ago
7 0

Answer:

Step-by-step explanation:

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Find the centroid of the region bounded by the given curves y=8sin(4x), y=8cos(4x)
Luba_88 [7]
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.

The region we're looking for is this sausage-shaped part between the cos and the sin.

The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.

The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.

So the centroid is at (3/16π, 0)
5 0
2 years ago
The function f(x) = x2 – 6x + 9 is shifted 5 units to the left to create g(x). what is g(x)?
allsm [11]
The correct answer is C.  The form for shifts is (x-h)^2 +k where h=the x variable ( horizontal shift left or right) and k = the y  variable  (vertical shift up or down) The confusing part for many students is remember that if you are moving left it's subtraction So in the form x-h it is actually x - (-h) so it gets turned into a positive/ addition sign. 
7 0
3 years ago
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
qwelly [4]

Answer:

y = 32,000(1.08)^x

Step-by-step explanation:

The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.

In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)

If we plug these into the equation, we get the equation y = 32,000(1.08)^x

So, y = 32,000(1.08)^x is the correct answer.

4 0
3 years ago
How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?
makvit [3.9K]

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

 two equilateral triangles with side length 7 ft

 two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                       = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

5 1
3 years ago
Read 2 more answers
6a + 5a = 11 <br> Just a little confused thats all
kramer

Answer

11a = 11

a = 1

Step-by-step explanation:

5 0
2 years ago
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