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3 years ago

Question 3

Mathematics

1 answer:

Papessa [141]3 years ago

4 0

Answer:

(a) The next 3 terms in the sequence are 17, -31, and 65

(b) The 3 terms that came before -7 are 2, -1, and 5

Step-by-step explanation:

a. To determine the next 3 terms in the sequence after -7,

From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.

Then, for the next number after -7, we will get

-7 × -2 = 14; 14 + 3 = 17

For the second number after -7, we will get

17 × -2 = -34; -34 + 3 = -31

For the third number after -7, we will get

-31 × -2 = 62; 62 + 3 = 65

Hence, the next 3 terms are 17, -31, and 65

(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2

Hence, the previous number to -7 (that is, the third term in the sequence)

-7 -3 = -10; -10 ÷ -2 = 5

Then, the second term will be

5 - 3 = 2; 2 ÷ -2 = -1

and the first term will be

-1 -3 = -4; -4 ÷ -2 = 2

Hence, the 3 terms that came before -7 are 2, -1, and 5

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The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

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= $5+3.5$

= $8.5 \ minutes$

The mean arrival rate will be:

$\lambda =\frac{60}{5}$

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The mean service rate will be:

$\mu= 7.05 \ cabs/hr$

(1)

The average time a cab must wait will be:

⇒ $W_q=22.95-\frac{1}{7.05}$

⇒ $=\frac{161.798-1}{7.05}$

⇒ $=\frac{160.798}{7.05}$

⇒ $=22.81 \ minutes$

(2)

The required probability will be:

⇒ $P(X\geq 6)=\frac{1-2.115}{1-7.5}$

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2 years ago

What percent of 32 is 5.6

Kobotan [32]

Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

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2 years ago

The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl

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Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

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from aphelion to the sun in terms of ellipse is a+c.

Then

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and subtract first equation from the second:

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$b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.$

The equation for the planet's orbit is

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3 years ago

Lynette buys candy at the grocery store. she gives half of the pieces to her son and 2 pieces to her daughter. if she has 4 piec

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Let Lynette has originally candies in hand = x

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Means she have 12 candies originally : Answer

Hope it will help :)

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2 years ago

Select the correct answer.

eduard

If 30 is half price, then what is full price?

You can set up this problem like this:

30 = x/2

30 = (1/2)x

where x is the full price.

To solve, simply multiply each half by 2:

2(30) = 2((1/2)x)

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2 years ago

Read 2 more answers