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Naddik [55]
3 years ago
5

A cream company advertised that 3 out of every 24 boxes of cereal had a prize inside. What is the ratio of boxes with prizes to

boxes with no prizes?
A) 1:7
B) 1:8
C) 7:1
D) 8:1
Explain the proof
------------------------------------
Please help I will mark as the brainleist answer!!!! Thanks for 14 points
Mathematics
1 answer:
lawyer [7]3 years ago
6 0
1:8 is the correct answer because 24 divided by 3 is 8.
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Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
2 years ago
- Trapezoid
zhenek [66]

- Trapezoid

The measures of three angles of a quadrilateral are 70, 125, and 89 degrees. Find the measure of the fourth one.

》The measure of the fourth one is 36°.

<h3>HOPE ITS HELP</h3>

4 0
3 years ago
6 7/12 - 5 2/3 I need help on this Math Promblem
inessss [21]

Answer:

11/12

Step-by-step explanation:

6 7/12 - 5 2/3

=(6-5) + (7/12 - 2/3)

= 1 + 7/12 - 2*4 / 3*4

= 1 + 7/12 - 8/12

= 1 + 7-8 / 12

= 1 + -1/12

=11/12  

8 0
2 years ago
Read 2 more answers
Which equation has a constant of proportionality equal to 9?
Ad libitum [116K]
Let y directly proportional to X
thus y = CX
where c is proportionality constant
given c= 9
thus y = 9x
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In a restaurant, Chad tracked the number of children and adults that came in over an hour. During that time, 16 children and 40
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You have 40/16
simplified by 8 and you have 5:2
so the answer is d. 5:2
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