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Alisiya [41]
2 years ago
6

Students at Mr. Mackie’s art class went outside to draw a rainbow, which follows a parabolic path and has the equation of = −0.1

( − 1) + 6, where and are measured in centimeters. Graph the function.
If the height of the rainbow is 6 cm, how far away are the end points of the rainbow from one another?

HELP!!
Mathematics
1 answer:
Tom [10]2 years ago
4 0

Answer:

We were given the equation of a rainbow, which follows a parabolic path, which is

By comparing to the vertex form,

We have the vertex at (h,k)=(1,6)

Since a=-0.1<0, the parabola opens down.

At y-intercept, x=0.

Step-by-step explanation:

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Six grape fruit cost $5.34. How much does one grape fruit cost????
Firlakuza [10]
In order to figure this out, we can set up a proportion and simplify using cross multiplication.

\frac{units_1}{cost _{1} } =\frac{units_2}{cost _{2} }  \\  \\  \frac{6}{5.34} = \frac{1}{x}  \\  \\ 6*x=5.34*1 \\  \\ 6x=5.34 \\  \\ x=0.89

One grapefruit costs 89 cents.
3 0
2 years ago
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The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times
wolverine [178]

Answer:

1089

Step-by-step explanation:

The original number is A0CD, We have that DC0A = 9 x A0CD.

If A =1, then D = 9 and we have:

9C01 = 9 x 10C9

In order for this expression to be true, the following must also be true:

(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.

The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.

72 = 9 x 8.

Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:

1089 x 9 = 9,081

Therefore, 1089 is correct.

6 0
3 years ago
Which of the following is a prime number? 61 39 27 76
Zolol [24]
61 is the prime number.

39 is divisible by 3 and 13.
27 is divisible by 9 and 3.
76 is divisible by several numbers, including 2.
7 0
2 years ago
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Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in.
OLEGan [10]

Answer:

A) 36 inches

36 Incheon is the correct answer

7 0
2 years ago
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Find the sum. <br> Homework: 9.4 arithmetic series
RUDIKE [14]

Answer:

Step-by-step explanation:

a1 = 3(1) - 7 = - 4

a2 = 3(2) - 7 = -1

d = a2 - a1

d = -1 - (-4)

d = -1 + 4

d = 3

a60 = 3(60) - 7

a60 = 180 - 7

a60 = 173

n = 60

Sum = (a1 + a60) * n / 2

Sum = (-4 + 173) * 60/2

Sum = (169)*30

Sum = 5070

==================

Just to check, we'll use the second summation formula

d = 3

n = 60

a1 = -4

Sum = (2*a1 + (n - 1)*d )*n / 2

Sum = (2*(-4) + (60 -1)*3)* 60/2

Sum = (-8 + 59*3) * 30

Sum = (177 - 8)*30

Sum = 169 * 30

Sum = 5070

Same answer.

5 0
2 years ago
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