MATHEMATICS HIGH SCHOOL

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x

B f(x) = 1500(115)x

C f(x) = 1500(2.15)x

D f(x) = 1500(215)x

Answers

Answer 1

Answer:

Answer:

Option (c) is correct.

$f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given A colony contains 1500 bacteria

and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

$A=P(1+(r)/(100) )^t$

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

$f(x)=1500(1+(115)/(100) )^x$

Simplify, we get,

$f(x)=1500(1+1.15)^x$

$f(x)=1500(2.15)^x$

Thus, $f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

Answer 2

Answer: its f(x)=1500(2.15)x so c hope this helps

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Solve for x. A) 10.5B) 10C) 6√3D) 20
What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?
The price of a pair of shoes increases from $51 to$69. what is the percent increase to the nearest percent?
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Rewrite 8.24 × 10'6 in standard notation.8,240,000,000
824,000
8,240,000
82,400,000

Answers

you need to add 6 "0" to the end
8,240,000

Answer:

Option 3 - $8.24* 10^6=8,240,000$

Step-by-step explanation:

Given : Number - $8.24* 10^6$

To find : Re-write the number into standard notation?

Solution :

Standard notation in the expansion of scientific notation.

Scientific notation $8.24* 10^6$

$10^6$ means 10 with 6 zeros i.e. 1000000

So, $=8.24* 1000000$

Removing decimal,

$=(824)/(100)* 1000000$

$=824* 10000$

$=8240000$

Therefore, $8.24* 10^6=8,240,000$

So, Option 3 is correct.

Which is the equation of the linear model?A.y = 2.25x + 0.75

B.y = 0.75x + 2.25

C.y = 1.3x + 2.7

D.y = 0.75x + 3

Answers

The answer is B. y = 0.75 + 2.25. because i've done this assement.

Juan has scores of 85, 83, and 93 on three mathtests. What is Juan’s average test score on these
math tests?

Answers

Final answer:

To calculate Juan's average math test score, add all the scores together (85, 83, and 93) and then divide by the total number of tests, which is 3. The average score is 87.

Explanation:

The question given is a mathematics problem related to calculating an average. In particular, it is about finding the average test score of Juan's math tests. To find the average of a set of numbers, you add up all the numbers and then divide by the quantity of numbers. In this case, we add the test scores 85, 83, and 93 which gives us a total of 261. Since there are 3 tests, we divide this total by 3. So, Juan's average test score is 261 divided by 3, which equals 87.

Learn more about average here:

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Answer:

80.5

Step-by-step explanation:

to find average you need to first added all your number then divide by how much numbers you added

WILL GIVE BRAINLIEST. Need an answer ASAP! The diagonals of a rectangle ABCD intersect at E. AE = x+4 and CE = 3x-12. Find BE

Answers

Answer:

$BE=12 units$

Step-by-step explanation:

$We\ know\ that,\nIn\ a\ rectangle\ all\ diagonals\ are\ equal\ and\ bisect\ each\ other.\nHence,\nIn\ Rectangle\ ABCD,\nAE=EC\nHence,\nSubstituting\ the\ values\ we\ get:\nx+4=3x-12\nHence,\n-2x=-16\nx=(-16)/(-2)=8\nNow,\nWe\ also\ know\ that,\n AC=DB\nHence,\n(AC)/(2)=(DB)/(2) \nHence,\nDE=EB=AE=EC\nHence,\nSince\ AE=BE,\nBE=x+4\nWe\ already\ know\ that\ x=8.\nHence, BE=8+4=12$

One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.

Answers

You can use variables to get the answer. So there's x, and the other number is 800 less than 3 times x

Their sum is 1,200, so you get this equation:

x + 3x - 800 = 1,200 (add like terms)
4x - 800 = 1,200 (add 800 on both sides)
4x = 2,000 (divide by 4 on each side)
x = 5,000

The first number is 5,000.
If the second number is 800 less than 3 times the other, 500(3) - 800 = 700.

CHECK YOUR WORK:
5,000 + 700 = 1,200
1,200 = 1,200

THE TWO NUMBERS ARE: 5,000 & 700

What is b - 3/16 = 5/16

Answers

If you would like to solve b - 3/16 = 5/16, you can do this using the following steps:

b - 3/16 = 5/16
b = 5/16 + 3/16
b = 8/16
b = 1/2

The correct result would be 1/2.

The solution to the equation b - 3/16 = 5/16 is b = 1/2.

To solve the equation b - 3/16 = 5/16, you need to isolate the variable b.

To eliminate the fraction, you can add 3/16 to both sides of the equation:

b - 3/16 + 3/16 = 5/16 + 3/16

Simplifying the equation:

b = 8/16

Now, you can simplify the right side of the equation:

b = 1/2

Therefore, the solution to the equation b - 3/16 = 5/16 is b = 1/2.

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