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elena55 [62]
3 years ago
10

Which expressions are equivalent to q+p+q+p+q

Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

3q + 2p

Step-by-step explanation:

q + p + q + p + q = 3q + 2p

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Mr. cringle found a box of handmade holiday greeting cards in his garage and decided to make more to send to all his friends. Af
yawa3891 [41]
Well if he made 10 in 4 hours, that means he made 5 in 2 hours. after 2 hours he had 30 cards, so that means he started with 25 cards. Mr. Cringle is making 2 and 1/2 cards per hour.
4 0
3 years ago
The lengths and widths of two rectangles are proportional. One
Rashid [163]

The width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.

<u>Explanation:</u>

Given:

Two rectangles are proportional.

Length and width of 1 rectangle = 6 : 8

Dimensions of the other rectangle = ?

Let length and width of the other rectangle be x : y

According to the question:

\frac{6}{8} :\frac{x}{y}

\frac{6}{8} X \frac{y}{x}

So, the width of the rectangle would be 6 times the first rectangle and the length would be 8 times the first rectangle.

5 0
3 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
3) This decimal is colored to show<br> 1
MAVERICK [17]
I believe it’s the first one. i’m very sorry if it’s wrong
3 0
3 years ago
The diagonals of a kite separate the quadrilateral into four congruent triangles
statuscvo [17]
<span>If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)</span>
6 0
3 years ago
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