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3 years ago

given that the number 33554432 is equal to 2^25, explain how you know that 33554432 is not a square number

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

See the explanation below.

Step-by-step explanation:

A perfect square never ends in 2, 3, 7 or 8.

This is the simple observation that will check if the number is a perfect square or not.

Best Regards!

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n

natali 33 [55]

Answer:

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

$f(t) = 100 \cdot 2^\frac{t}{3}$

To find inverse of a function , replace f(t) with y

$y= 100 \cdot 2^\frac{t}{3}$

replace t with y and y with x

$x= 100 \cdot 2^\frac{y}{3}$

solve for y

divide both sides by 100

$\frac{x}{100} =2^\frac{y}{3}$

take ln on both sides

$ln \frac{x}{100} =\frac{y}{3}ln 2$

divide both sides by ln

$ln_2(\frac{x}{100}) =\frac{y}{3}$

multiply by 3 on both sides

$y=3ln_2(\frac{x}{100})$

Replace x with t and y with f^-1

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

7 0

3 years ago

LekaFEV [45]

Answer: $y-1=\dfrac32(x+3)$

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = $\dfrac{d-b}{c-a}$

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) = $\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}$

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope = is given by

$(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)$

Required equation: $y-1=\dfrac32(x+3)$

8 0

3 years ago

If 16 oz equal 1 pound how much ounces are equal to 3 pounds

Solnce55 [7]

Answer:

it would be 48oz

Step-by-step explanation:

16 times 3 = 48oz -sorry if this is not right

have a wonderful day :)

3 0

3 years ago

A carnival booth has a participant pick one of five boxes to reveal a the prize inside. One box contains $100 and the other box

hoa [83]

It’s c I hope my answer help you

3 0

3 years ago

The Ross family had 100 relatives at their big Thanksgiving dinner of all the guest nine he had French heritage 80 had English h

il63 [147K]

Hi, Deedee. I am quite confused with the numbers that you've given because they don't add up to 100. Nevertheless, if by 'this', you mean the Thanksgiving culture, then you would just count the English and the Native American heritage. This is because the first Thanksgiving dinner was shared between the English colonists and the Native American tribes.

I hope I was able to help you in a way. Have a good day.

8 0

3 years ago