A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.

Answers

Answer 1

Answer: every year there is an 81% addition to the mass of the sample

Step-by-step explanation:

Khan academy told me

Answer 2

The yearly percent change in the mass of the sample will be 81.06%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

A sample of a mysterious chemical substance naturally gains mass over time.

The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:

[tex]\rm M(t) = (1.16)^{4t+3}[/tex]

The yearly percent change in the mass of the sample will be

At t = 0, we have

M(0) = (1.16)³ = 1.561

At t = 1, we have

M(1) = (1.16)⁷ = 2.826

Then the percentage will be

P = [(2.826 – 1.561) / 1.561] x 100

P = 0.8106 x 100

P = 81.06%

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Related Questions

637-627(629)=(93+52)-(-6376-x)

Answers

Answer:

uhh maybe 3 1/2 im not sure

Step-by-step explanation:

Tell whether each set of events is independent or dependent (problems 1 - 4).
1. The teacher randomly selects two students from the class.

2. You roll a 3 on a number cube and choose a 3 from a deck of cards.

3. Pick "Joe" from a box of names, replace it, and then pick "Craig".

4. Pick "Joe" from a box of names, set it aside, and then pick "Craig".

Answers

Answer:

1 dependent

234 independent

Step-by-step explanation:

What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth.

Answers

Answer:

50.27 for the area

25.13 for the circumference

Step-by-step explanation:

A=πr2=π·42≈50.26548

C=2πr=2·π·4≈25.13274

ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.​

Answers

Answer:

yes. it is correct.

Answer:

Yes

Step-by-step explanation:

because the plus two just move all the points up two so the vertex would be (0,2) which is what the vertex is

Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3?
1,-1
3,-3
-2,2
-6,6

Answers

Answer:

The coordinate B' is [tex]B' = (3, -3)[/tex].

Step-by-step explanation:

The new coordinate is computed by applying the scale factor with respect to origin:

[tex]B' = \alpha \cdot B[/tex]

[tex]B' = 3\cdot (1,-1)[/tex]

[tex]B' = (3\cdot 1, 3 \cdot (-1))[/tex]

[tex]B' = (3, -3)[/tex]

Answer:

B) 3,-3

Step-by-step explanation:

URGENT PLEASE


Rhonda kept track of the cats at a shelter where she volunteers. She measured how many times per day each cat ate, and she also ranked their activity level on a scale from 1 to 10 each day. She found the line of best fit for the data has the equation y=0.23x+4.1, where x represents the activity level and y represents the number of meals eaten.


If a cat had an activity level of about 9, then it's likely to have eaten about _[blank]_ meals.


Enter the value that correctly fills in the blank.


Round to the nearest whole number, if necessary, like this: 42

Answers

If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the intial value of y.

Let x represents the activity level and y represents the number of meals eaten. Given that:

y = 0.23x + 4.1

For an activity level of 9 (x = 9):

y = 0.23(9) + 4.1 = 6.17

If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.

 

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Answer:

answer is 6

Step-by-step explanation:

i took the work

help plz geometry !!!!​

Answers

Answer:

27 ) x = 15°,

28 ) x = 18°

Step-by-step explanation:

27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;

85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

85 + ( 6x + 5 ) = 180 ⇒ take out ( ),

85 + 6x + 5 = 180 ⇒ combine like terms,

90 + 6x = 180 ⇒ subtract 90 from either side of equation,

6x = 90 ⇒ divide 6 on either side of equation,

Solution; x = 15°

28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;

110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

110 + ( 3x + 16 ) = 180 ⇒ take out ( ),

110 + 3x + 16 = 180 ⇒ combine like terms,

126 + 3x = 180 ⇒ subtract 126 from either side of equation,

3x = 54 ⇒ divide 6 on either side of equation,

Solution; x = 18°

What is the difference between a minor and major arc of a circle?

Answers

Answer:

Hi there!

Given two points on a circle, the minor arc is the shortest arc linking them. The major arc is the longest.

The minor is the smallest arc and the major is the bigger one

f(x) = x
g(x) = 1
What is the domain of
(g/f)(x)

Answers

Answer: x≠0

Step-by-step explanation:

Makes the equation undefined

Solve for a in the problem:
-3(9a+2)=129

Answers

Answer: a = -5

Step-by-step explanation:

-3 (9a+2)=129

-27a -6 = 129

-27a = 129+6

-27a = 135

a = -135/27

Answer:

a= -5

Step-by-step explanation:

To solve the equation, we want to find out what a is. In order to do this, we have to get a by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-3(9a+2)=129

-3 is being multiplied by 9a+2. The opposite of multiplication is division, so divide both sides by -3.

-3(9a+2)/-3=129/-3

9a+2=129/-3

9a+2=-43

2 is being added on to 9a. The opposite of addition is subtraction, so subtract 2 from both sides.

9a+2-2= -43-2

9a= -43-2

9a= -45

a is being multiplied by 9. The opposite of multiplication is division, so divide both sides by 9.

9a/9= -45/9

a= -45/9

a=-5

Graph the equation h=3sin (pi/2(t+2)+5

Answers

Answer: The answer is in the image below.

I need help. It's kinda hard for me. We have to use decimal numbers

Answers

Answer: 2.4 + 7.6 = 10

Step-by-step explanation:

Hope this helps

In the United States, federal tax rates are based on the amount of income an individual or family earns. What do you think happens to the tax rate as the amount of income earned goes up?

Answers

Answer: The tax rate would get higher the more money you make

What is the slope of the line described by the equation below?
y-5 = 6(x-4)

Answers

Answer:

6

Step-by-step explanation:

To solve this, you need to have your equation in slope-intercept form.  This is y=mx+b, where m is the slope and b is the y-intercept.

y - 5 = 6(x - 4)

y - 5 = 6x - 24

y = 6x - 19

The slope, m, is equal to 6.

The floor of a living room is 7m by 5m. How many 50cm square tiles are required?

Answers

Answer

7m x 5m = 35, then multiply by 100, so then the answer is 3,500

Step-by-step explanation:

The number of tiles that can fit in the living room is 7000.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given dimension of the living room,

7m by 5m

Area = 7 x 5 = 35 m²

Area of one tile = 50 cm² = 0.005m²

With this surface area the number of tiles that can be fit,

35/0.005 = 35000/5 = 7000

Hence "The number of tiles that can fit in the living room is 7000".

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can y'all help me plz anyone​

Answers

Answer:

y=2x+2

Step-by-step explanation:

2 is the slope and 2 is also the y intercept. So your equation would be y=2x+2. It is correct because 14=2(6)+2 is true.

The first equation is 3x + 2y = 17 and the second equation is -2x - y = -12. What would I have to multiply the second equation by so I could add andeliminate the y's.

3
2
-2
0

Answers

Answer:

Multiply the second equation by 2

Step-by-step explanation:

If you do that you will get 2y in the first equation and -2y in the second equation. then, you can add the 2 equations to get rid of y.

Answer:

2

Step-by-step explanation:

For elimination problems, you have to have the variables that you want to cancel out equal in value but opposite in sign.

Since you are trying to cancel out y and you are changing the second equation, look at the first equation.

The y variable is +2y.  This means that the second equation with a y variable of -2y.

Since the the second equation's y variable is -y, multiply it by 2.

-y x 2 = -2y

Sebastian has 50 marbles in a bag. 20% of the marbles are green. How many marbles are green?

Answers

Answer: 10

Step-by-step explanation:

50 divided by 10 is 5

10%=5

20%=10

Answer:

10 marbles are green

Step-by-step explanation:

Let me explain.

Using price×rate= amount

you do 50x20%= 10. This means that out of the 50 marbles

only 10 are green.

HELP PLZ I NEED HELP QUICK!!!! ILL GIVE U 20 POINTS

Answers

Answer:

B) Z

Step-by-step explanation:

Currently, there are $350$ students in the seventh grade at Winchester Heights Middle School. For the upcoming school year, they are planning to increase the number of seventh graders by $10\%$ .

How many seventh-grade students does Winchester Heights Middle School plan to have in the upcoming school year?

Answers

Answer: 385 students

Step-by-step explanation:

Answer:

Current number of students : 350

The number of students after increasing 10% N:

N = 350 + 10% of 350 = 350 + 350 x 10/100 = 350 + 35 = 385 students

Hope this helps!

:)

How many ways can you pick a President, Vice President, Secretary and Treasurer from a group of 12 people?

479,001,600

19,958,400

20,736

11, 880

Answers

Answer: 20,736

Step-by-step explanation:

There are 12 people total in the room, so the base of the exponent will be 12.

Sine there are 4 possible positions, the exponent will be 4.

# of possibilities = 12^4

12^4 = 12 * 12 * 12 *12 = 20,736

Which expression is equivalent to 9 – 8x?
A. -8x – 9
B. -8x + 9
O c. 8x - 9
D. 8x + 9

Answers

Answer:

option B -8x+9

Step-by-step explanation:

If you switch position around, - 8x will go in front and +9 will go at the back

*remember that the signs in front of a number is for the number and number without signs their signs are automatically +

The expression is 9 - 8x is equivalent to the  -8x + 9.

What is expression?

An expression is statement which is "combination of numbers, variables and functions".

According to the question,

The expression is 9 - 8x is equivalent to the -8x + 9.

The signs in front of a number is for the number and number without signs their signs are automatically +.

Hence, the expression is 9 - 8x is equivalent to the -8x + 9.

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Colin rolls a fair dice 18 times.
How many times would Colin expect to roll a number greater than 3?

Answers

Answer:

8 or 1/2

Step-by-step explanation:

The requried probability that colin expects to roll a number greater than 3 is 1/2.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Colin rolls a fair die 18 times.
The total outcome of 1 die = 6
So, for 18 die total outcome = 6 × 18

Now,
Favorable outcome = 4, 5, 6 = 3
A total favorable outcome for 18 dice = 3 × 18

Probability, many times would Colin expect to roll a number greater than 3.
= 3 × 18  /  6 × 18
= 1 / 2

Thus, the requried probability that colin expects to roll a number greater than 3 is 1/2.

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Find two numbers a and b whose sum a+b is −3, and whose difference a−b is −7.Your answer is

Answers

Answer:

a = -5

b = 2

Step-by-step explanation:

a+b=-3

a-b= -7              +

2a  = -10

a = -10/2

a = -5

a + b = -3

-5 + b = -3

b = -3 + 5

b = 2

The surface area of a sphere is 452.15 cm squared. Find the length of the radius and use 3.14 for pie

Answers

Answer:

Step-by-step explanation:

6cm approximately

sos please help me......

Answers

Answer: 170

Step-by-step explanation:

Hemisphere volume formula

V = (2/3)πr3

(2/3)•(3.14)•(2.5)^3=32.7 (33)

Cylinder volume formula

V=πr^2h

(3.14)(2.5)^2(7)=137.4 (137)

137+33=170

Which three programs or services are supported by taxes?

fire departments

Medicare

public education

shopping malls

theaters

Answers

Answer: A,B,C

fire department, medicare, public education

Step-by-step explanation: Plato answer

The three programs or services are supported by taxes are fire departments, Medicare and public education

What is Tax?

A tax is a sum of money that people pay to the government for the services provided by the government.

The three programs or services that are supported by taxes are:

Fire departments: Taxes are used to fund fire departments that provide emergency services such as firefighting, rescue, and medical assistance.

Medicare: Taxes are used to fund Medicare, a federal health insurance program for people who are 65 or older, certain younger people with disabilities, and people with End-Stage Renal Disease.

Public education: Taxes are used to fund public education, including elementary, middle, and high schools, as well as public colleges and universities.

Shopping malls and theaters are not typically supported by taxes.

They are usually privately owned and funded by their owners.

Hence, the three programs or services are supported by taxes are fire departments, Medicare and public education

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The temperature at dawn is -6°F but by noon it is 22°F. What is the difference in
temperatures?
O -16°F
O-28°F
O 16°F
O 28°F

Answers

Answer: 28 degrees farenheit

Step-by-step explanation: add 22 and 6 for the total of how many degrees -6 is from 22.

If the  temperature at dawn is -6°F but by noon it is 22°F.Then 28°F  is the difference in temperatures

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The temperature at dawn is -6°F

The temperature at dawn in afternoon is 22°F.

We need to find the difference in temperatures.

Difference is nothing but subtracting one number with another number.

Now subtract  -6°F from 22°F.

22°F-(-6°F)

Twenty two degree fahrenheit plus six degree fahrenheit

22°F+6°F

28°F

Hence there is 28°F in temperatures. Option D is correct.

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Help I made it maxed points

Answers

Answer:

B

Step-by-step explanation:

66/4=99/6=330/20=16.5

Since there is a constant ratio between these values, the function is a line, and the equation of that line is w=16.5m, or choice B. Hope this helps!

Answer:

w=16.5

Step-by-step explanation:

All you have to do is divide the number of gallons of water by the number of minutes and you will get your answer.

66/4=16.5

99/6=16.5

330/20=16.5

I hope I've helped.

What is the area of triangle DEF?



2 StartRoot 2 EndRoot square units


2 StartRoot 14 EndRoot square units


6 StartRoot 22 EndRoot square units


12 StartRoot 77 EndRoot square units



The answer is B

Answers

Answer:

B. [tex]2\sqrt{14}[/tex]

Step-by-step explanation:

Plug it in Heron's formula.

Answer:

2 StartRoot 14 EndRoot square units

Step-by-step explanation: i just did it :)

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