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mote1985 [20]
3 years ago
9

A heated piece of metal cools according to the function c(x) = (.5)x − 10, where x is measured in hours. A device is added that

aids in cooling according to the function h(x) = −x − 1. What will be the temperature of the metal after five hours?
−6° Celsius

26° Celsius

32° Celsius

38° Celsius
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0
The question is asking to choose among the following choices that states the temperature of the metal after five hours, and base on my research and further calculation, the possible answer among the following is 26 degree. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications
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The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
Damm [24]

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

3 0
2 years ago
Can someone please anwser
telo118 [61]
Since all three equations are equal, you take 15 x 20, which =300, once again because all of the equations are equal, take 300 and divide it by 5, that will give you your first question mark.{you should have gotten 60.} To find the second one, you are going to apply the same concept, Take 300 and divide it by 6, giving you your second question mark. {you should have gotten 50}...
P.S.: {hope I helped} :)
7 0
2 years ago
The graph of the function f(x) = (x - 4)(x + 1) is shown
Ostrovityanka [42]
What are the statements?
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \frac{1}{2} " alt=" \frac{1}{2} " align=
BartSMP [9]
I hope this helps you 6x+2=7.2 6x+2=14 6x=12 x=2
5 0
3 years ago
Please help me solve this
OlgaM077 [116]

Answer:

645320

Step-by-step explanation:

Given: 6_5_2_

If a multiplication sign is placed between the second and third digit, and an equal sign is placed between the third and fourth digit, then

6_ × 5 = _2_

The passcode contains 6 DIFFERENT digits, so we know the missing numbers cannot be 6, 5, or 2.

So, do a trial and error session of multiplying 5 by numbers it could possibly be (60, 61, 63, 64, 67, 68, 69).

64 × 5 = 320. It is the only equation that is both correct and matches the digits given, so the missing digits are 4, 3, and 0. Barry's passcode is 645320.

4 0
3 years ago
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