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svetlana [45]
3 years ago
9

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to

within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places).
ln(1 + x) ≈ x
Mathematics
1 answer:
Darya [45]3 years ago
3 0
We are asked to evaluate the equation ln (1+x) = x.In this case, we can raise both sides exponentially to 1 + x = e^x.  In this case, the obvious answer would be zero. That is 1 = 1 which is a valid statement. The answer therefore to this problem is equal to zero
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A) 17 <br> b) 15<br> c) 18<br> d) 16<br> ^ Which one ?
Mekhanik [1.2K]

Answer:

15

Step-by-step explanation:

if one side is 9, another is C, based on the angle tilt would have to be 15.

Hope its helps.

4 0
3 years ago
Tap X can fill a bath in 12 minutes.
cricket20 [7]
<h3>Answer:  4 minutes</h3>

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

Explanation:

Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.

Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.

Add the two unit rates: 6+12 = 18

If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.

Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.

18x = 72

x = 72/18

x = 4

It will take 4 minutes if both taps are running at the same time.

8 0
3 years ago
Helen has 3 red pairs of shoes, 5 black pairs of shoes and 4 white pair of shoes. If she picked a pair of shoes at
Sliva [168]

Answer:

9/12

Because there are 9 pairs of shoes that are not red and a total of 12 shoes .

8 0
3 years ago
Read 2 more answers
I’m stuck on this, any helps?
igomit [66]

9514 1404 393

Answer:

  a. $488

  b. 12 hours at $18.30 = $219.60

  c. $707.60

Step-by-step explanation:

a) You correctly computed Brown's straight-time pay. His pay is ...

  40 hours at $12.20 per hour = $488

__

b) Brown's overtime pay is 1.5 times his straight-time pay per hour:

  OT pay rate = 1.5 × $12.20 = $18.30 . . . per hour

The amount of overtime is 52 hours - 40 hours of straight time = 12 hours. Then the overtime pay is ...

  12 hours at $18.30 per hour = $219.60

__

c) Brown's total pay is the sum of straight-time pay and overtime pay:

  $488.00 +219.60 = $707.60 . . . total pay

7 0
3 years ago
What is (12x2)-(45/5)
Mashcka [7]

Answer:

(12 \times 2) - \left(\dfrac{45}5 \right) =24 -9 = 15

Step-by-step explanation:

8 0
3 years ago
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