The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.

Answer:

4.5 and 6

Step-by-step explanation:

Answer:

x 2 4 6 7   9

y 1 2 3 3.5 4.5

Step-by-step explanation:

can I have brainliest

Answer:

A= 243

B=4

Its because its multiplying itself 5 times for A. And doing it 4 times for B

I think this is correct (I am only in Middle School...)

Step-by-step explanation:

(a) The number of T-shirts sold in the 5th month is 15. (b) The store sells 81 T-shirts in the 27th month.

a. To find f(5), we need to plug x = 5 into the function f(x) = 3x:

f(5) = 3 × 5 = 15

So, the number of T-shirts sold in the 5th month is 15.

b. To find when the store sells 81 T-shirts, we need to solve the equation f(x) = 81:

f(x) = 3x = 81

Now, solve for x:

3x = 81

Divide both sides by 3:

x = 81 / 3

x = 27

So, the store sells 81 T-shirts in the 27th month.

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Answer:

Heidi made $15.90 total

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

Answer:

a) [tex]k \approx 0.0602\,\frac{1}{min}[/tex] ([tex]k\approx 6.02\,\frac{\%}{min}[/tex]), b) [tex]k \approx 0.0648\,\frac{1}{min}[/tex] ([tex]k \approx 6.48\,\frac{\%}{min}[/tex]), c) [tex]t_{1/2} \approx 60.274\,days[/tex], d) [tex]t_{1/2}\approx 4.305\,min[/tex], e) [tex]k \approx 0.3\,\frac{1}{min}[/tex] ([tex]k\approx 30\,\frac{\%}{min}[/tex]), f) [tex]k \approx 0.0120\,\frac{1}{min}[/tex] ([tex]k \approx 1.20\,\frac{\%}{min}[/tex]), g) [tex]k \approx 2.876\times 10^{-5}\,\frac{1}{yr}[/tex] ([tex]k \approx 2.876\times 10^{-3}\,\frac{\%}{yr}[/tex])

Step-by-step explanation:

All radioactive isotopes decay exponentially, the mass of the isotope as a function of time ([tex]m(t)[/tex]), measured in grams, is defined by:

[tex]m(t) = m_{o}\cdot e^{-k\cdot t}[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass of the isotope, measured in grams.

[tex]k[/tex] - Decay rate, measured in [tex]\frac{1}{min}[/tex] or [tex]\frac{1}{day}[/tex] or [tex]\frac{1}{yr}[/tex].

[tex]t[/tex] - Time, measured in minutes, days or years.

We define the decay rate in terms of half-life by using the following expression:

[tex]k = \frac{\ln 2}{t_{1/2}}[/tex] (2)

Where [tex]t_{1/2}[/tex] is the half-life of the isotope, measured in minutes or years.

Now we proceed to determine the missing values:

a) Polonium-200 ([tex]t_{1/2} = 11.5\,min[/tex])

[tex]k = \frac{\ln 2}{11.5\,min}[/tex]

[tex]k \approx 0.0602\,\frac{1}{min}[/tex]

b) Lead-194 ([tex]t_{1/2} = 10.7\,min[/tex])

[tex]k = \frac{\ln 2}{10.7\,min}[/tex]

[tex]k \approx 0.0648\,\frac{1}{min}[/tex]

c) Iodine-125 ([tex]k = 0.0115\,\frac{1}{day}[/tex])

[tex]t_{1/2} = \frac{\ln 2}{k}[/tex]

[tex]t_{1/2} = \frac{\ln 2}{0.0115\,\frac{1}{day} }[/tex]

[tex]t_{1/2} \approx 60.274\,days[/tex]

d) Kryption-75 ([tex]k = 0.161\,\frac{1}{min}[/tex])

[tex]t_{1/2} = \frac{\ln 2}{k}[/tex]

[tex]t_{1/2} = \frac{\ln 2}{0.161\,\frac{1}{min} }[/tex]

[tex]t_{1/2}\approx 4.305\,min[/tex]

e) Strontium-79 ([tex]t_{1/2} = 2.3\,min[/tex])

[tex]k = \frac{\ln 2}{2.3\,min}[/tex]

[tex]k \approx 0.3\,\frac{1}{min}[/tex]

f) Uranium-229 ([tex]t_{1/2} = 58\,min[/tex])

[tex]k = \frac{\ln 2}{58\,min}[/tex]

[tex]k \approx 0.0120\,\frac{1}{min}[/tex]

g) Plutonium-239 ([tex]t_{1/2} = 24100\,yr[/tex])

[tex]k = \frac{\ln 2}{24100\,yr}[/tex]

[tex]k \approx 2.876\times 10^{-5}\,\frac{1}{yr}[/tex]

Answer:

-15

Step-by-step explanation:

Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.

Answer:

sorry

Step-by-step explanation:

I really don't know answer

Answer:

Use the following for questions 9-11: In dogs, there is an hereditary deafness caused by a recessive gene, "d." A kennel owner has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can hear. ... This can be tested by breeding the dog to a deaf female (dd).

Step-by-step explanation:

hope it worked

Answer:

C: 1

Step-by-step explanation:

14/35 simplified is 2/5. This means 2/5 is equivalent to 14/35. Therefore we have to multiply 2/5 by 1 which is option C.

Answer:

2.25 or 2 1/4 pounds

Step-by-step explanation:

if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4

Answer:

5

Step-by-step explanation:

it's the middle of the set of data

Answer:

the answer is 544

Step-by-step explanation:

i had to figure out how much percent was taking then I added and some subtraction and i got 544

If 1,938 students go to the school, about 1394 students play video games.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that 1938 students go to school.

And the circle graph represents the number of teenagers at a high school who play video games.

And 259° students out of total angle of circle play video games.

That means 259 percentage of 360,

259 = 360 × percentage of students those play video games of the circle/100

percentage of students those play video games of the circle = 259 x 100 / 360 = 71.94%

And the number of students those play video games is

= 71.94% of 1938

= 1938 x 71.94 / 100

= 1394 students

Therefore, if 1,938 students go to the school, about 1394 students play video games.

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Answer:

43%

Step-by-step explanation:

First, find the total amount of games:

13 + 15 + 2

= 30

Then, to find the percentage of games won, divide 13 by 30:

13/30

= 0.43

So, the team won approximately 43% of its games

Answer: Approximately 43.3%

Work Shown:

13+15+2 = 30 games total

Divide the number of games won (13) over the number total (30)

13/30 = 0.433 approximately which converts to 43.3% of the games won

To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%

Answer:

 C

------ = r

2pi

Step-by-step explanation:

Divide both sides by 2pi.  We get:

 C

------ = r

2pi

Answer:

185% .!!!!!!!!!!!!!!!!!

Answer:A

Step-by-step explanation:

FOIL

The factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have a quadratic equation:

= x²- 5x + 4

= x² -x - 4x + 4

= x(x - 1) - 4(x - 1)

= (x - 4)(x - 1)

Thus, the factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.

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Answer:

g

Step-by-step explanation:

x goes to f m to 5 :-)

[tex] \sqrt[5]{2} [/tex]

=cos12°+isin12° is your answer

Answer:

(f ￮ g)(x) = [tex]2^{x+1}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

(f ￮ g)(x)

= f(g(x))

= f(x + 1)

= [tex]2^{x+1}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24[/tex]

Answer:

24

Step-by-step explanation:

First we compute the number under the radical.

We have 25² = 625 and 7² = 49, so 25² - 7² = 625 - 49 = 576.

Thus, √25² - 7² = √576 = √24², which is 24.

Answer:

Id assume its 5 23/50..correct me if I'm wrong its been quite some time since I've dealed with decimals to fractions.

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Do you want to know how to write the decimal number 5.46 as a fraction?

Here we will show you step-by-step how to convert 5.46 so you can write it as a fraction.

You can take any number, such as 5.46, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

5.46 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.46, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

546 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 546 and 100 is 2. When we divide the numerator and denominator by 2, we get the following:

273 / 50

Therefore, 5.46 as a fractio

Answer:

1.416 repeating

Step-by-step explanation:

6 x 4 = 24, then do 24 - 7 = 17, then do 3 x 4 = 12, then divide 17 and 12 to get 1.416 repeating

Answer: 10x=y

Step-by-step explanation:

So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.

Answer:

11/16, 3/5, 7/10

Step-by-step explanation:

Answer:

22 hours.

Step-by-step explanation:

Using algebra:

6.5x = 143

6.5      6.5

   x  = 22

Answer:

11 is N

Step-by-step explanation:

Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11

Answer:

To find the answer, we simply have to substitute the values for a and b that the question gave us into the expression.

In this case, that would be substituting a = -1 and b = 2 into -3ab - 2.

[tex]-3(-1)(2) - 2[/tex]

[tex]= 3(2) - 2[/tex]

[tex]= 6 - 2[/tex]

[tex]= 4[/tex]

Hence, the answer is 4. However, there is no option with 4 for Question 3, so I would suggest OP to check the question again to confirm if there is no option with the answer as 4.

Step-by-step explanation:

Hope this helped!

Answer:

its 3/4

Step-by-step explanation: