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adell [148]
2 years ago
10

At a picnic, a 16 feet long sandwich is cut into 2 pieces. The ratio of the lengths of the 2 pieces is 3:1. What is the length,t

o the nearest foot, of the longer piece?
Mathematics
1 answer:
nalin [4]2 years ago
6 0

8 feet long    .......................                      

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The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th
nata0808 [166]

Answer:

  8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

  f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

  0.86 = 0.5^(t/37)

  log(0.86) = (t/37)log(0.5)

  t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

5 0
1 year ago
Review the proof of the identity cos(π − A) = −cosA.
Annette [7]

Answer:

error in step 1

Step-by-step explanation:

well where is does the step not make sense?

remember cos(pi) = -1 and sin(pi)=0

that means step 1 is strange... it didn't distribute properly

it should have been:

cos(pi) - cos(A)

hope that helps! ^-^

6 0
1 year ago
Read 2 more answers
Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years. What is the interest she will pay for the loan ?
kykrilka [37]
The interest rate she would pay would be is $7,200
5 0
2 years ago
By how much is 90125 more than 58478​
lorasvet [3.4K]

Hey there!

First, we should subtract them.

90125 - 58478 = 31,647

90125 is 31647 more than 58478.

Hope this helps!

Have a great day!

8 0
1 year ago
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
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