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bogdanovich [222]
3 years ago
8

$16.99 cap; 20% discount, 7% sales tax

Mathematics
1 answer:
White raven [17]3 years ago
7 0

Answer:

Your answer is going to be 14.54. 16.99 off of 7% sales tax is $18.18, but 20% off is $14.54.


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Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
Contact [7]

cosU:-

\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25

As U lies in Q3

  • cosU=-24/25

sinV

\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4

As V lies in Q3

  • sinV=-3/5

So

  • sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=<u>4</u><u>4</u><u>/</u><u>1</u><u>2</u><u>5</u>
  • cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125
3 0
2 years ago
Find three consecutive interferes whose sum is 96
Ronch [10]

Answer:

31, 32, 33

Step-by-step explanation:

x + x + 1 +x + 2 = 96

3x + 3 = 96

      -3    -3

3x = 93

/3     /3

x = 31

31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.

6 0
3 years ago
3a+2= -2n+3p solve for a
nataly862011 [7]

Answer:

Step-by-step explanation:

3a + 2 = -2n + 3p

3a = -2n + 3p - 2

a = (-2n+3p-2)/3

a = -2/3(n) + p - 2/3

8 0
3 years ago
A bag contains 10 marbles: 4are green, 2are red, and 4 are blue. Carmen chooses a marble at random, and without putting it back,
kupik [55]

Answer:

2/15

Step-by-step explanation:

There is a 4/10 probability that she chooses blue the first time, but the second time it is a 3/9 chance because she didn't put the marble back so there are 9 marbles in total, 3 blue ones.

4/10 x 3/9 = 2/5 x 1/3 = 2/15

I hope this helps :)

Edit: Messed up the multiplication, whoops!

4 0
2 years ago
Read 2 more answers
What sign of a null hypothesis must always include?
IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by H_o

H_o always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

5 0
3 years ago
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