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2 years ago

Find the 60th term of the arithmetic sequence 4, -1, -6, ...

Mathematics

1 answer:

Tomtit [17]2 years ago

4 0

Answer:

-291

Step-by-step explanation:

4+(-5)(n-1)=4-5*59=4-295=291

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The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the

IgorLugansk [536]

We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118

6 0

3 years ago

3V3 х 60° Find the values of x and y. Write your answers in simplest form. X= y=

Alex787 [66]

Answer:

X=3

y=6

Step-by-step explanation:

$tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3$

-----------

$sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6$

hope it helps...

have a great day!!

6 0

3 years ago

At a raffle, 1500 tickets are sold at $2 each. There are four prizes given for $500, $250, $150, and $75. You buy one ticket. Us

wolverine [178]

Answer:

The expected value of every ticket is a loss of $ 1.35

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets sold at the raffle = 1,500

Price of each ticket = $ 2

Total prizes = 1 * $ 500 + 1 * $ 250 + 1 * $ 150 + 1 * $ 75

2. Use a probability distribution table to calculate the expected value of your gain. Your expected value is_____ ?

Let's answer the question using a probability distribution for the gains, this way:

Probability of 1st prize of $ 498 (500 - ticket) = 1/1,500
Probability of 2nd prize of $ 248 (250 - ticket) = 1/1,500
Probability of 3rd prize of $ 148 (150 - ticket) = 1/1,500
Probability of 4th prize of $ 73 (75 - ticket) = 1/1,500
Probability of losing $ 2 (ticket) = 1,496/1,500

Now, we calculate the mean for all the tickets (winners and non-winners), this way:

Expected value = [(1,496 * -2) + (1 * 498) + (1 * 248) + ( 1 * 148) + ( 1 * 73)]/1,500

Expected value = [- 2,992 +498 + 248 + 148 + 73)/1,500

Expected value = -2,025/1,500 = - 1,35

The expected value of every ticket is a loss of $ 1.35

8 0

3 years ago

Find the component form of the vector that translates P(4,5) to p'.

olga_2 [115]

Answer:

The component form of the vector P'P is $\left \langle -7, 2 \right \rangle$

Step-by-step explanation:

The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;

The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7

The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2

The component form of the vector P'P = $\left \langle -7, 2 \right \rangle$

6 0

3 years ago

Suppose you receive an allowance of $55 and your friend receives an allowance of $40 at the beginning of the month. If you spend

Licemer1 [7]

Answer: 5 days

Step-by-step explanation:

so we need to find:

55 - 6a = 40 - 3a

with a being the days we need to find

-40 on each side

15 - 6a = -3a

+6a on each side

15 = 3a

divide each side by 3

5 = a

4 0

2 years ago