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natima [27]
3 years ago
11

Use the distributive property to factor the following. ab+bc

Mathematics
1 answer:
Ghella [55]3 years ago
6 0
Ab + bc = ba + bc = b( a + c )
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Find minimum value for the perimeter of the rectangle.​
katrin [286]

Answer:

possible lengths

45 and 2

3 and 20

5 and 18

15 and 6

10 and 9  

there perimeter will be

94

46

46

27

38

answer to this question is  15 and 6

7 0
2 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Please help me this is important
Dmitrij [34]

Answer:

C. II, III, and IV only

Step-by-step explanation:

Lol I haven't done one of these in a while, so thanks for the practice!

It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.

4 0
3 years ago
42 is 8% of what number
Setler [38]
8%=0.08
42÷0.08=525
So your answer is 525
7 0
2 years ago
Read 2 more answers
Jaden buys a raffle ticket. Each ticket has a 1% chance of being drawn. How likely is it that Jaden's ticket will be drawn? It d
Reika [66]
When Jaden bought the raffle ticket, he has a 1% chance of winning, which means that even if the chance is small, it's still there. 

Your answer would be

It likely won't be drawn. 
3 0
3 years ago
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