Answer:
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Step-by-step explanation:
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Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
(a) Using Newton's Law of Cooling,

, we have

where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get

. Integrate both sides to get

.
Since

, we solve for C:

So we get

. Use T(30) = 150 to solve for k:

So

But choose Positive because T > 75. Temp of turkey can't go under.

(b)

Dogs of the AMS.
In 3 years she will earn 1,800.
15,000 x .12=1,800
9514 1404 393
Answer:
Step-by-step explanation:
Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:
y = 55
__
The sum of angles in the triangle is 180°, so ...
55° +(11x +4)° +55° = 180°
11x = 66 . . . . . . . . divide by °, subtract 114
x = 6 . . . . . . . . . . .divide by 11
The values of x and y are 6 and 55, respectively.