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3 years ago

1.

Mathematics

2 answers:

Ronch [10]3 years ago

4 0

1. 42 kids
2. I need more info.

GREYUIT [131]3 years ago

3 0

People who picked up vanilla cupcakes = 80% x 53

 80% x 53 = 0.8 x 53 = 42 people (nearest whole number)

42 people picked vanilla cupcakes

Volume of a sphere = 4/3πr³

4/3πr³ = 4/3π(7)³ = 1436.8 cm³

The volume of the sphere is 1436.8 cm³

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

the moon is about 240,000 miles from Earth. What is this distance written as a whole number multiplied by a power of ten?

Ronch [10]

I'm not sure does anyone else know the answer?

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

2 years ago

3 museums charge an entrance fee based on the number of visitors in the group. the tables list the fees charged by the museums.

miv72 [106K]

Museum C because for every 3 guests you pay $4(?) each.

3/4
12/16=3/4
18/24=3/4

6 0

3 years ago

Read 2 more answers

What comes after ones column?

alekssr [168]

Answer: tens

Step-by-step explanation: after ones comes tens, before ones comes decimal point

7 0

3 years ago

Read 2 more answers