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 project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.

11. The Exponential Function Given By H(t)=80,030.83(1.0481)t, Where T Is The Number Of Years After 2010,

Answers

Answer 1

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.

What is a Function?

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 [tex]H(t) = 80,030.83(1.0481)^t[/tex].

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

[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]

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

[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]

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

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Related Questions

A gym charges membership dues of $25 per month. Part A
Complete the table to show how the total cost in dollars, C, and the
number of months, m, of gym membership are related. What is the cost of the blue section

Answers

you can turn this into an equation: [tex]c=25m[/tex], where c is the cost and m is number of months.

solve for blue.

[tex]c=25m\\\\c=25(14)\\\\c=350[/tex]

The blue section costs $350.

.......................................................

Answers

Answer:

What are we suppose to answer...

-11+13+ 10x + 2x

I will give you brainliest

Answers

Answer:

12x + 2

Step-by-step explanation:

-11 + 13 +  10x + 2x =

2 + 10x + 2x =

12x + 2

Answer:

2(6x+1)

Step-by-step explanation:

1. Add the number

-11 + 13 + 10x + 2x

2 + 10x +2x

2.Combine like terms

2 + 10x + 2x

2 + 12x

3.Arrange terms

2 + 12x

12x + 2

4.Common factor

-11 + 13 + 10x + 2x

2(6x+1)

Mrs Tilley Keeps a variety of poultry. This pie chart shows the numbers of What each kind:

27 Geese, 72 Hens, 45 Turkeys and 36 Ducks.


32. What percentage of the poultry are hens?

33. What percentage of the poultry are geese?

34. What fraction of the poultry are ducks?

35. What fraction of the poultry are turkeys?

Answers

Answer:

   32. 40%

   33. 15%

   34. 1/5

   35. 1/4

Step-by-step explanation:

Question 32

% Hens = No. of hens / Total poultry% Hens = 72 / 27 + 72 + 45 + 36% Hens = 72 / 180 = 2/5% Hens = 40%

Question 33

% Geese = No. of geese / Total% Geese = 27/180 % Geese = 3/20% Geese = 15%

Question 34

% Ducks = No. of ducks / Total% Ducks = 36/180% Ducks = 1/5

Question 35

% Turkeys = No. of turkeys / Total% Turkeys = 45/180% Turkeys = 1/4

Answer:

32.  40%

33.  15%

34.  1/5

35.  1/4

Step-by-step explanation:

Given:

27 Geese72 Hens45 Turkeys36 Ducks

⇒ Total poultry = 27 + 72 + 45 + 36 = 180

[tex]\sf Percentage = \dfrac{Part}{Whole}\times 100[/tex]

[tex]\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%[/tex]

[tex]\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%[/tex]

[tex]\sf Fraction= \dfrac{Part}{Whole}[/tex]

[tex]\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}[/tex]

[tex]\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}[/tex]

PLEASE HELP FAST I'LL MARK YOU AS BRAINLIST
The volume of a cube-shaped container is 8000cm³. What is the AREA of the base?

Answers

Answer: 400

Step-by-step explanation: cube root 8000 then that times itself

Find the area of the figure. Round to the nearest TENTH.

Answers

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

Answer:

A=L*B

=12*9

=108

A=0.5base *H

=0.5(9)*7

=31.5

A=108+31.5

A=139.5

PLEASE ANSWER NUMBER 30 PLEASE!!

Answers

Answer:

d) x ≤ 3

Step-by-step explanation:

write the equation of the line passing through the point (2,- 1) with a slope of 3

Answers

Answer:

Y= 3X-7

Step-by-step explanation:

the equation of the line has the formular

Y-Y1= M (X-X1)

here, M= slope= 3

X1=2 Y1= -1

Y--1= 3(X-2)

Y+1= 3X-6

Y= 3X-6-1

Y= 3X-7

Answer:

y=3x-7

Step-by-step explanation:

1. Use The Slope Formula

 y=mx+b

m=slope

b=y-intercept

2. Fill in the given values

y=3x+b

3. Use the given points to solve for b

-1=3*2+b

-1=6+b

-7=b

4. Final equation

y=3x-7

Which equation shows the area, in square centimeters, of the shaded figure?

Answers

Answer:

[tex]3\times8=24[/tex]

Step-by-step explanation:

Notice that the shaded figure has a width of 3 cm and a length of 8 cm. The area of the rectangle is equal to the product of the width and length, so [tex]8\:\text{cm}\times3\:\text{cm}=24\:\text{cm}^2[/tex] would be the area of the shaded figure.

(U^3 v^4)^4 * (2u^4 v^2)^2
Simplify
Show all work
I give brainliest ,.

Answers

1) apply exponent to the terms inside the bracket - multiply exponents

[tex](u^3v^4)^4\\\\(u^1^2v^1^6)[/tex]

[tex](2u^4v^2)^2\\\\(4u^8v^4)[/tex]

2) multiply the two terms together - add exponents

[tex](u^1^2v^1^6)(4u^8v^4)\\\\4(u^1^2^+^8)(v^1^6^+^4)\\\\4u^2^0v^2^0[/tex]


Let's find 1/4+1/12

First, write the addition so the fractions have denominator 12.
Then add.1/4+1/12=?/12+1/12=?\?

Answers

Answer:

[tex]\frac{4}{12}[/tex] or [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{4}{12}[/tex]

Which one of these numbers is a composite number a.17 b.51 c.97 d.89

Answers

Step-by-step explanation:

The correct answer here is 51

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

 Which one of these numbers is a composite number: 17, 51, 97, or 89?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Composite numbers are divisible by 3 or more numbers.

17 is divisible by 1 and 17 only, so it's not composite.

51 is divisible by 1, 51, 3, and 17, so it's composite.

97 and 89 are divisible by two numbers only, so they are not composite.

So we conclude that the answer is

51

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

8 is the GCF of what two numbers?

Answers

Answer:

16 and 24

Step-by-step explanation:

The largest factor for both numbers have in common is 8, so GCF(16,24) = 8

Radius & Diameter
Easy: 51
A. Choose the correct choice.
1) A circle has a circumference of 1211 yd. What is the diameter of the circle?
a) 12 yd
b) 6 yd
c) 18 yd
2) A wire of length 281 in is bent to form a circle. What is the radius of the circle?
a) 28 in
b) 19 in
C) 14 in
3) A circular park has a circumference of 361 yd. Find its diameter.
a) 18 ya
b) 36 yd
c) 12 ya
4) The tip of the minute-hand travels 2211 in in one hour. Find the length of the minute-hand.
a) 11 in
b) 10 in
c) 22 in
5) The circumference of a bicycle wheel is 6n in. Find the diameter of the wheel.
a) 12 in
b) 6 in
c) 3 in
B. Find the radius and diameter in each question.
S.No
Circumference
Radius
Diameter
6.
10л ft
7.
24n in
8.
341 ya
9.
407 in
10.
167 ft

Answers

Answer:

a,c,b,a,b

Step-by-step explanation:

6.

7.

8.

9.

10.

Circumference

10π ft

24π in

34π yd

40π in

16π ft

Radius

5 ft

12 in

17 yd

20 in

8 ft

Diameter

10 ft

24 in

34 yd

40 in

16 ft

The circle below is centred at O.
AB is a tangent to this circle.
Work out the size of angle y.
Justify your answer.
O
42°
y
A
B
Not drawn accurately

Answers

Answer:

y = 48°

Step-by-step explanation:

angle A = 90°

interior angles of a triangle = 180°

therefore

y = 180 - 42 - 90

y = 48°

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

❒ Given ❒➣ Mid point of a circle➣ Tangent AB➣ Angle "o" of 42⁰➣ Angle "A" of 90⁰ (cuz it is the perpendicular of traingle given in circle)

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

❒ Note ❒➣here tangent AB with point O (mid point of circle) forming a traingle➣we have to find "y" in the given figure (angle B)

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

❒ Concept used ❒➣The sum of interior angles of traingle is of 180⁰➣to find the missing angle ( y ) we will use this theorem➣this Concept is also know as Sum theorem

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

❒ Assumption ❒➣angle B = y

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

❒ Let's solve ❒

[tex] \large \pmb{➪ \: } \rm \pink{ \angle \: OAB+\angle \:ABO+\angle \:BOA = 180 \degree}[/tex]

➣let's substitute value now .....

[tex] \pmb{➪ \: 90 + y +42 = 180 } \\ \pmb{➪ \:132 + y = 180 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 180 - 132 \: \: \: \: \: \: \: \: }\\ \pmb{➪ \:y = 48 \degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

Hence the size of angle is

[tex] \large \boxed{✥\underline{ \boxed{ \sf{y = 48 \degree \: \pmb{\green{✓}} }}}✥}[/tex]

▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂

Hope it helps !

Given g(x) =(x² +5)/3x find g(p + 4) Please answer with work​

Answers

Answer:

g(p + 4) = [p² + 8p + 21 / 3p + 12]

Step-by-step explanation:

Function :

g(x) = (x² + 5) / 3x

Substitute x = p + 4 :

⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)

⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]

g(p + 4) = [p² + 8p + 21 / 3p + 12]

A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place

Answers

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4      

h= 2

r= 4/2     r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3

Answers

Answer:

:

Answer:the radius would be 88cm

Step-by-step explanation:

radius. r = base circumference. C = volume. V = curved surface area.

ТУ
Which quadratic function is represented by the graph?
6
5
4
O FUX) = - (x + 1)(x – 5)
O f(x) = - (x – 11x + 5)
3
2-
14
O f(x) = -5(x + 1)(x - 5)
2 3 4 5 x
3 -5 -5 -4 -3 -2 -21
-2
O f(x) = -5(x - 1)(x + 5)
+
-3
4
6

Answers

Answer:

the first one

Step-by-step explanation:

because I know the answer

The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given a graph of a quadratic function.

The graph is directed downwards. So the leading coefficient is negative.

The function touches the X axis at two points, x = -5 and x = 1.

So -5 and 1 are the zeroes of the function.

So the function can be factored as,

f(x) = (x + 5)(x - 1)

So the quadratic equation is,

f(x) = -5 (x - 1) (x + 5)

Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).

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HELPPPPPPPPPPPPPPPPpppp

Answers

Answer: 32π
Decimal: 100.53 (Not rounded)

Formula for a Cone: ⅓ πr^2h.

What is 15 1/3 in radical form?
2/15
15

Answers

Answer:

∛15.

Step-by-step explanation:

15^1/3

= ∛15.

If you blend 2 scoops of chocolate ice cream with 1 cup of milk, you get a milkshake with a stronger chocolate flavor than if you blended 3 scoops of chocolate ice cream with 2 cups of milk. Explain or show why.

Answers

Answer:

This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.

Step-by-step explanation:

Answer:

If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.

Step-by-step explanation:

To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.

In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.

Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.

Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix

(90 POINTS) How can you find the length of RT using similarity? Explain your reasoning.

Answers

Answer:

RT = 26

Step-by-step explanation:

Based on the figure we can say :

ΔABC ~ ΔTSR (by SAS similarity)

Scale factor :

AB/SR = 12/24 = 1/2

Hence, as the proportions are the same :

CA/RT = 1/213/RT = 1/2RT = 13 x 2RT = 26

The triangle ABC and RST will be similar triangles. Then the length of RT will be 26 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ABC and RST will be similar triangles.

RT / 13 = 24 / 12

      RT = 26

More about the triangle link is given below.

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Which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

The last one ( bottom left)

Step-by-step explanation:

negative slope means the line is going downwards

positive y intercept means the line hits the y axis on a positive number

After sitting out of a refrigerator for a
while, a turkey at room temperature (
68°F) is placed into an oven. The oven
temperature is 305°F. Newton's Law of
Heating explains that the temperature of
the turkey will increase proportionally to
the difference between the temperature of
the turkey and the temperature of the
oven, as given by the formula below:
T = Ta + (To − Ta)e-kt
Ta
=
the temperature surrounding
the object
To
=
the initial temperature of the
object
t
=
the time in hours
T
=
the temperature of the object
after t hours
k = decay constant
The turkey reaches the temperature of
108°F after 3 hours. Using this
information, find the value of k, to the
nearest thousandth. Use the resulting
equation to determine the Fahrenheit
temperature of the turkey, to the nearest
degree, after 4.5 hours.

Answers

Answer:

The value of k to the nearest thousandth is -0.133

The of the turkey to the nearest degree after 4.5 hours is 186F

Step-by-step explanation:

A board 18 inches long is cut into two pieces in the ratio 1:2. Find the length of each piece.

Answers

9 inches is the answer

find the remainder when x³-2x²+4x-2 is divided by (x-1/2)​

Answers

Answer:

[tex]\sf \bf {remainder}: -\dfrac{3}{8}[/tex]

In order to find remainder:

Follow this short technique:

Set the divisor which is x-½  to zero.

x - 1/2 = 0

x = 1/2

Then insert this following into dividend.

x³ -2x² + 4x - 2

insert x = ½

(½)³ - 2(½)² + 4(½) -2

simplify

-3/8

Answer:

-3/8

Step-by-step explanation:

Let's assume x - 1/2 is a zero of the polynomial :

Substitute x = 1/2 (the zero) in the equationx³ - 2x² + 4x - 2(1/2)³ - 2(1/2)² + 4(1/2) - 21/8 - 2(1/4) + 2 - 21/8 - 1/2-3/8

-3/8 is the remainder.

If f(x) = 5x, what is ƒ¹ (x)?

Answers

Answer:

15,625

Step-by-step explanation:

If f(x) = 5x then f ¹ you must label all numbers in the equation to make it easier, once done you will have 25(5¹)=125¹

125x125=15,625

The inverse function of the given function is x/5.

What is inverse function?

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Given that, f(x)=5x

Now, y=5x

Replace x by y and y by x, we get

x=5y

y=x/5

and f⁻¹(x)=x/5

Therefore, the inverse function of the given function is x/5.

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What is the value of y in the solution to this system of equations?
3x + 2y = -12
2x + y = 4
A.
B.
C.
D.
-36
-12
4
20

Answers

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

.

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

3x-2y=-12--(1)2x+y=4--(2)

Multiply 2 with (1) and 3 with (2)

6x+4y=-24--(1)

6x+3y=12--(4)

Subtract

y=-24-12y=-36

giving the following sequence: 21, 24.5, 28 write an equation for the nth term

Answers

Answer:

tₙ = (3.5x + 17.5)

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