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Alla [95]
3 years ago
11

What is the answer to question 15answer if you know also tap the picture to see

Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

x > 8

Step-by-step explanation:

\frac{3}{4}x + 5 > 11

\frac{3}{4}x > 6 --- subtract 5 from both sides

x > 8 --- divide both sides by \frac{3}{4}

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1. Sarah has an average of 92.5 for her 3 science tests. What does she need to make on the 4th test to get a 94% average. 
zheka24 [161]
1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol

so \frac{92.5+x}{2}=94
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3 years ago
I forgot to attach the photo before.... please help
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Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

<h3>Answer:  64</h3>

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

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0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

<h3>Answer: Approximately   -6.830075</h3>
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Answer:

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Step-by-step explanation:

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