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zhannawk [14.2K]
3 years ago
13

Given the following functions f(x) and g(x), solve (f+g)(2) and select the correct answer below:

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

B

Step-by-step explanation:

In the picture above

Hope this helps.

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How many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689
frutty [35]
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:

9×9×8×7×6×5×4 = 544,320 7-digit numbers
4 0
3 years ago
Kenji earned the test scores below in English class.
vitfil [10]

Answer:

C

Step-by-step explanation:

Mean is all the numbers divided by the amount of numbers listed and Median is what ever number is in the middle (when in order of value). when there's not a exact middle number u add the two numbers in the middle and divide it by two

8 0
3 years ago
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Prove that n^2 &gt; 2n + 1 for all natural numbers n &gt;= 3
mafiozo [28]

{n}^{2}  - 2n - 1 > 0
n = 3 >  > 9 - 6 - 1 = 2 > 0
suppose the following is true
7 0
3 years ago
A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
ella [17]

Answer:

about 2714.34 in^3

Step-by-step explanation:

24/2=12--radius

12/2=6--height

formula is V=(pi)(r^2)(h)

r is for radius and h is for height

V=(pi)(12*12)(6)

V=(pi)(144)(6)

V=(pi)(864)

V= about 2714.34 in^3

4 0
3 years ago
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