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4 years ago

In 2008 the population of 10 to 14-year-olds in the United States was 24 84163 right this number in expanded form

Mathematics

1 answer:

Ket [755]4 years ago

6 0

(2,000,000) + (400,000) + (80,000) + (4,000) + (100) + (60) + (3) = 2,484,163

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Jen bought 5 CD's for $57.50. What was the unit price?

Alinara [238K]

Answer:

$11.50

Step-by-step explanation:

3 0

4 years ago

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow

AlekseyPX

For this case we are going to assume the following:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
$(n / m) * 100 - 100$
Answer:
the number of students did grow by:
$(n / m) * 100 - 100$

4 0

4 years ago

Read 2 more answers

If you replace x2 − y2 with a, 2xy with b, and x2 + y2 with c, what is the identity equation?

ivolga24 [154]

X^2 - y^2 = a

2xy = b

x^2 + y^2 = c

A polynomial identity is an equation that is always true.`1

You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.

1) Step 1:

[x^2 + y^2]^2 = x^4 + 2(xy)^2 + y^4 = c^2

2) Step 2:

[x^2 - y^2] = x^4 - 2(xy)^2 + y^2 = a^2

(2xy)^2 = 4(xy)^2 = b^2

x^4 - 2(xy)^2 + y^2 + (2xy)^2 = x^4 + 2(xy)^2 + y^2
------------------------    ----------     --------------------------
            ↓                       ↓                        ↓
           a^2                    b^2    =              c^2

Answer: the identity is

c^2 = a^2 + b^2 equivalent to

(x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2

5 0

4 years ago

What is the conversion factor between centimeters and pounds.

vesna_86 [32]

There isnt one, pounds is weight, centimeters is length and have no relation

8 0

3 years ago

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