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3 years ago

Test 43,785 for divisibility by 2, 3, 5, 9, and 10.

1 answer:

3 0

43785 is not divisible by 2 because it's not an even number, and this also means it's not divisible by 10 because 10 = 2*5.

The sum of its digits is 4 + 3 + 7 + 8 + 5 = 27, which is divisible by 3 since 27 = 3*9, so 43785 is divisible by 3. We have 43785 = 3*14595.

It would be divisible by 9 if 14595 were also divisible by 3. That number has digital sum 1 + 4 + 5 + 9 + 5 = 24, which is divisible by 3, so 14595 is too and 14595 = 3*4865. So 43785 = 9*4865, and it is indeed divisible by 9.

14595 is clearly divisible by 5 because its ends with a 5.

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A particular type of cell increases by 75% in number every hour. Find the number of cells present at the end of 12 hours if ther

prisoha [69]

We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.

We will use exponential growth formula to solve our given problem.

$y=a\cdot (1+r)^x$ , where,

y = Final amount,

a = Initial amount,

r = Growth rate in decimal form,

x = Time.

$75\%=\frac{75}{100}=0.75$

Upon substituting initial value $a=4$ and $x=12$ in above formula, we will get:

$y=4\cdot (1+0.75)^{12}$

$y=4\cdot (1.75)^{12}$

$y=4\cdot 825.0050068497657776$

$y=3300.020027$

$y\approx 3300$

Therefore, there will be approximately 3300 cells at the end of 12 hours.

5 0

3 years ago

Are all of the vertical slices of a rectangular pyramid the same kind of shape? Explain your reasoning

Arte-miy333 [17]

If we slice the vertically the rectangular pyramid, we get a triangle with the base equal to the one of the dimensions of the rectangle, most probably the width. The height of the triangle, however, is dependent as to how far from the center is the slice cut off. Thus, the answer is same shape but of different sizes.

7 0

3 years ago

What is 8.256 divided by 0.16 "with work please"

tester [92]

Sorry if you cant see it but anyway the answer is 51.6 i put the decimal in the wrong place at first then i realized that i had to carry over the decimal 2 times

4 0

4 years ago

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week. About how much more money

notka56 [123]

Last week: 96x3=288
This week:204x3=612
Take this week and subtract from last week
612-288=324
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3 0

3 years ago

Read 2 more answers

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of

n200080 [17]

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

7 0

3 years ago