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Yuki888 [10]
2 years ago
15

fatemeh bought 8 pencils for AED 3 each and 5 black pens for AED 6 each. How much did she pay in the cashier? with unit

Mathematics
1 answer:
slavikrds [6]2 years ago
6 0

Answer:

AED 50$

Step-by-step explanation:

8 pencil * 3 +5 pens *6

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Help!
dsp73
Your answer in scientific notation is 2.355 * 10^14
6 0
3 years ago
Simplify (2/9)^3<br> A.6/9<br> B.8/729<br> C.2/720
saw5 [17]

<u>Answer:</u>

\frac{8}{729}


<u>Explanation:</u>

Before we begin, remember that:

(\frac{a}{b})ⁿ = \frac{a^n}{b^n}


This means that power is distributed in case of division


The given is:

(\frac{2}{9} )^3


Applying the above rule, we would get:

(\frac{2}{9} )^3 = \frac{2^3}{9^3} = \frac{2*2*2}{9*9*9} = \frac{8}{729}


Hope this helps :)


8 0
3 years ago
Which expression represents the algebraic phrase “nine times a number plus thirteen”? A. 9 - y + 13
kirza4 [7]
C. 9y + 13
9y is the same as 9 times y (a variable representing a number), + 13
5 0
3 years ago
Read 2 more answers
A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 5 in. deep.
madreJ [45]

Answers:

(1 Question in written form): 7.2 inches.

(2 Question in the picture): Option (D) (y+1)^2=2(x+3) and  F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

Explanations:

1. (Question in written form):

First you need to know the standard form of a parabola (considering it opens in +x direction and the vertex of the parabola is at origin), which is as follows:

(y-k)^2 = 4p(x-h)

Since the vertex of the parabola is at origin, h = 0 and k = 0. The above equation will now become:

y^2 = 4px ---- (A)


Where p is the distance between the vertex and the focus of a parabola, which we need to find (or where the microphone should be placed).

As the vertex is assumed to be placed at the origin, the parabolic dish, which is 24 inches wide, will be split evenly on both sides of the y axis (as the opening of the parabola is in x-axis—stated above), giving the distance of 12 inches from each sides of y axis (12 inches + 12 inches = 24 inches). Since it (parabolic microphone) is 5 inches deep, the coordinates will become: (5, +12) and (5, -12).

Plug any of the points—(5,+12) or (5,-12)—in equation (A), you will get the following:

(12)^2 = 4p(5) \\ 144 = 4p(5) \\ \frac{144}{5} = 4p \\ \frac{144}{5*4} = p \\ p=7.2\thinspace inches

Hence, the correct answer is 7.2 inches.


2. (Question in the picture):

First we need to write the following equation in the standard form:

y^2 - 2x + 2y -5 = 0 ----- (B)


The standard form of parabola is:

(y-k)^2 = 4p(x-h) ----- (C)


Rearrange equation (B) and solve as follows:

y^2-2x+2y-5=0 \\ y^2 + 2y - 5 = 2x \\ y^2 + 2y +1 = 2x + 6 \\ y^2 + y + y + 1 = 2(x+3) \\ y(y+1)+1(y+1)=2(x+3)\\(y+1)^2=2(x+3)

You can write the above equation as follows:

(y-(-1))^2 = 4(\frac{1}{2})(x-(-3)) ----- (D)

Now compare equation (D) with (C), we will get:

Focus = (h+p, k) = (-3+(1/2), -1)

Focus: (\frac{-5}{2},-1)


Now, to find x, use the following formula:

x = h - p

x = -3-\frac{1}{2} = \frac{-7}{2}


Hence, the correct option is (D) -> F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

4 0
3 years ago
Find the percent of increase of 17,500 to 21,000
maw [93]

Answer:

Step-by-step explanation:

17500-21000=3500

7 0
3 years ago
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