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3 years ago

Find the twenty-fifth term of an= (-1)^n

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

4 0

Answer: -1

Step-by-step explanation: plug in 25 into (-1)^n

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Calculate. If possible, reduce your answers. 12+3·(11−15) =

katrin [286]

Answer:

Step-by-step explanation:

(11−15) = 4

12+3=15

15x4=60

6 0

3 years ago

Use the graphing method to solve the equation 5(1/2)^x=30 Round to the nearest thousandth

Daniel [21]

Answer:

x = -2.585

Step-by-step explanation:

You will have to plug this into your graphing calculator.

In y=, type 5(1/2)^x in the Y1 and type 30 in Y2.

When you hit 2nd trace and hit find intersections, you will get (-2.585, 30).

The answer is x = -2.585

5 0

3 years ago

I need help on this

Kay [80]

Answer:

no clue

Step-by-step explanation:

i have no clue

3 0

3 years ago

Read 2 more answers

A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a

Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

Given : A heated piece of metal cools according to the function $c(x)=(0.5)^{x-7}$ , where x is measured in hours and then a cooling device id added that aids in cooling according to the function $h(x)=-x-2$

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, $w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\$ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

$w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)$

Solving , we get,

$w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28$

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

7 0

3 years ago

Read 2 more answers

Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp

Bess [88]

Answer:

(a) 0.5948

(b ) 0.0392; A. Yes , because the probability is less than 0.05

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R R

R D

D R

D D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

= 14/18 x 13/17

= 0.59477

≈ 0.5948

(b.) Determine the probability that both contain regular soda.

P (both regular soda) = P (R R)

= 4/18 x 3/17

= 0.039215

≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.) Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

= (4/18 x 14/17) + (14/18 x4/17)

= 0.36601

≈ 0.3660

4 0

4 years ago