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3 years ago

12

zane is building a dollhouse.The bottom part is a cube with a volume of 1/8 cubic foot.What is the length of each edge of the cu

be in feet?

1 answer:

Pie3 years ago

7 0

Answer: <em>the length of each edge is 0.5 ft.</em>

Step-by-step explanation:

$V=S^{3}\\\\S=\sqrt[3]{V}=\sqrt[3]{\dfrac{1}{8}} = \sqrt[3]{\bigg ( \dfrac{1}{2} \bigg)^{3} } = \dfrac{1}{2}=0.5 \: \: \: (ft)$

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The number of internet users in mexico between 2004 and 2008 can be modeled as u(t) = 8.02(1.17t) million users where t is the n

maxonik [38]

Answer:

a) 1.479 Million

b) 36.9%

c) 13.668%

Step-by-step explanation:

The complete question is attached in the image below.

The number of internet users in Mexico between 2004 and 2008 is modelled by the following equation:

$u(t)=8.02(1.17)^{t}$

Where, u(t) is in millions and t is the number of years since 2004.

Part a) Rate of change of internet users between 2004 and 2006

The rate of change of a function is defined as:

$\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}$

We have to find the rate of change between 2004 and 2006. For 2004 t = 0, and for 2006, t = 2. So the rate of change for the given function will be:

$\frac{u(2)-u(0)}{2-0}\\\\ =\frac{8.02(1.17)^{2}-8.02(1.17)^{0}}{2}\\\\ =1.479$

Thus, the average rate of change in number of internet users in Mexico from between 2004 and 2006 was 1.479 million.

Part b) Percentage change of internet users between 2004 and 2006

The formula to calculate the percentage change is:

$\frac{\text{New value - Original Value}}{\text{Original Value}} \times 100\%$

Here, New value means the users in 2006 and original value means the users in 2004.

Using the values in this formula, we get:

$\frac{8.02(1.17)^{2}-8.02(1.17)^0}{8.02(1.17)^{0}} \times 100\%\\\\ =36.89\%$

Thus, the percentage change in the number of internet users between 2004 and 2006 was 36.89%

Part c) Percentage of internet users in 2008

For 2008, t would be equal to 4.

So, the number of internet users in Mexico in 2008 would be = $8.02(1.17)^{4}=15.02857542$ million = 15,028,575 (rounded to nearest integer)

Total population of Mexico in 2008 = 109,955,400

We have to calculate what percentage of Mexico population was Internet users in 2008. The formula for this would be:

$\frac{\text{Concerned Value}}{\text{Total Value}} \times 100\%$

Here, concerned value is the number of internet users and total value is the total population. Using the values in this formula we get:

$\frac{15028575}{109955400} \times 100\%\\\\=13.668\%$

Thus, 13.668% of the population was internet users in 2008 in Mexico.

5 0

3 years ago

Cos(3pi/4)= HELLPPPP

Kitty [74]

3π/4 angle is in the second quadrant, so cos (3π/4) is going to be negative.

Reference angle of 3π/4 is (π - 3π/4) = π/4

cos(π/4) = √2/2

cos (3π/4) = - √2/2

Answer is C.

5 0

3 years ago

What is the equation of the red graph?

777dan777 [17]

Answer: b g(x)=6-x^4

6 0

1 year ago

Write an equation for the nth term of each geometric sequence:<br>5, 10, 20, 40,

Nataliya [291]

Answer:

a(n) = 5*2^(n-1)

Step-by-step explanation:

The nth term of a geometric series is given by the relation :

a(n) = ar^(n-1)

Where, a = first term ; r = common ratio ; a(n) = nth term of the series.

Given the series : 5, 10, 20, 40,

First term, a = 5

Common ratio = a2/ a1 = a3/a2

Common ratio = 10/5 = 20/10

Common ratio = 2 = 2

Hence, nth term =

a(n) = 5*2^(n-1)

4 0

3 years ago

Which expression is equivalent to 25x2 + x

34kurt

Answer:

50+x

Step-by-step explanation:

if you simplify, 25*2 is 50.

50+x

8 0

3 years ago

Read 2 more answers