What is the domain and range for {(5,6), (5,7), (6,6) ,(6,7)}

11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to pr

telo118 [61]

A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The exponential function that can be used to project the number of centenarians in a certain country is $H(t) = 80,030.83(1.0481)^t$ .

Now, the number of centenarians in the country in 2013 is,

$H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}$

Also, the number of centenarians in the country in 2038 is,

$H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}$

Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

Learn more about Function:

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5 0

3 years ago

Kate shares a 64-ounce bottle of apple cider with 5 friends. Each person’s serving will be the same number of ounces. Between wh

ruslelena [56]

Answer:

12 and 13

Step-by-step explanation:

The computation of the number of ounces will each person serving be is given below:

Ounces be 64

And, the friends be 5

So for each one it would be

= 64 ÷ 5

= 12.8

That means

12.8 is lies between 12 and 13

8 0

3 years ago

a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter wha

avanturin [10]

Answer is $\bf \dfrac{80}{7}$ dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

6 0

3 years ago

You are giving the following amounts: $190,258.50; $152,698.00; $122,753.00; $220,523.00; $231,951.00. What is the average of th

blondinia [14]

Answer:

Hey!

The average of these amounts is : $183,636.70!‬

Step-by-step explanation:

To find the average, we have to add all the values up which gives...

= 918,183.50!

And then divide this number by the amount of values you added up...

*918,183.50 divided by 5 gives = $183,636.70*

So your average is $183,636.70!!

HOPE THIS HELPS!!‬‬

4 0

4 years ago

Find, correct to the nearest degree, the three angles of the triangle with the given ven

Scrat [10]

9514 1404 393

Answer:

∠CAB = 86°

∠ABC = 43°

∠BCA = 51°

Step-by-step explanation:

This can be done a couple of different ways (as with most math problems). We can use the distance formula to find the side lengths, then the law of cosines to find the angles. Or, we could use the dot product. In the end, the math is about the same.

The lengths of the sides are given by the distance formula.

AB² = (4-1)² +(-3-0)² +(0-(-1)) = 16 +9 +1 = 26

BC² = (1-4)² +(2-(-3))³ +(3-0)² = 9 +25 +9 = 43

CA² = (1-1)² +(0-2)² +(-1-3)² = 4 +16 = 20

From the law of cosines, ...

∠A = arccos((AB² +CA² -BC²)/(2·AB·CA)) = arccos((26 +20 -43)/(2√(26·20)))

∠A = arccos(3/(4√130)) ≈ 86°

∠B = arccos((AB² +BC² -AC²)/(2·AB·BC)) = arccos((26 +43 -20)/(2√(26·43)))

∠B = arccos(49/(2√1118)) ≈ 43°

∠C = arccos((BC² +CA² -AB²)/(2·BC·CA)) = arccos((43 +20 -26)/(2√(43·20)))

∠C = arccos(37/(4√215)) ≈ 51°

The three angles are ...

∠CAB = 86°

∠ABC = 43°

∠BCA = 51°

_____

<em>Additional comment</em>

This sort of repetitive arithmetic is nicely done by a spreadsheet.

6 0

3 years ago