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Nutka1998 [239]
3 years ago
15

1. How many different sets of 8 songs are possible for Janine's play list? Assume that the

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

40320

Step-by-step explanation:

the first song on the list could be 8 possible songs;

and the second song on the list could be 7 possible songs after the first one was set;

the third song on the list could be 6 possible songs after the first and second songs were set;;

the fourth song on the list could be 5 possible songs after the first ,second and third songs were set;;

the fifth song on the list could be 4 possible songs after four songs  were set;

the sixth song on the list could be 3 possible songs after five songs  were set;

the seventh song on the list could be 2 possible songs after six songs  were set;

the eighth song on the list could be 1 possible songs after seven songs  were set.

so THERE ARE 8X7X6X5X4X3X2X1 DIFFERENT SETS

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Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge o
dusya [7]

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

6 0
3 years ago
You spent 1/5 of your birthday money on 2 video games. If each video game cost the same amount, what fraction of your birthday m
Elza [17]

Answer:

  • 1/10

Step-by-step explanation:

Let total money be m

Then, the money spent on 2 video games is 1/5m

<u>Each game costs:</u>

  • 1/5m ÷ 2 =
  • 1/10m

So each video game costs 1/10 of birthday money

4 0
3 years ago
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The Histogram is a graphic which is: A. Bar Chart useful for showing the distribution of data B. 80-20 principle C. A complex ti
Anvisha [2.4K]

Answer: Flow Chart. B - Fishbone Diagram. C - Scatterplot. D - 80-20 principle; used to identify the ... The Histogram is a graphic which is: A - Bar Chart useful for showing the distribution of data. B. 80-20 principle. C. A complex timeline. D. A simple history

Step-by-step explanation: Hope this helped :)

8 0
3 years ago
Find a cubic function with the given zeros.
Fed [463]

Answer:

The correct option is D) f(x) = x^3 + 2x^2 - 2x - 4 .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x + 4 .

f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 + 2x - 4 .

f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 - 2x^2 - 2x - 4 .

f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16

Therefore, the option is incorrect.

Substitute x=-2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0

Now check for other roots as well.

Substitute x=√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0

Substitute x=-√2 in f(x) = x^3 + 2x^2 - 2x - 4 .

f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0

Therefore, the option is correct.

8 0
3 years ago
An expression is given
vovangra [49]

Step-by-step explanation:

The coefficients are 4, 5 and 7

There is no constant

The second one is right

8 0
3 years ago
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