Scientists are studying a bacteria sample. The
function f(x) = 245(1.12) gives the number of
bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of
the values in this function?
The initial number of bacteria is 12.
The initial number of bacteria decreases at a rate of 88% each
day.
The number of bacteria increases at a rate of 12% each day.
The number of bacteria at the end of one day is 245.

Answers

Answer 1

The best interpretation of one of the values of the function is that the rate  increases by 12% each day.

Step-by-step explanation:

Given:

F(x)=245(1.12)^x

To Find:

statement is the best interpretation of one of the values of the function

Solution:

Depending upon the values given the statement can be developed

As the function is itself the exponential growth structure ,

In this the statement ,Growth can be significantly depends on all factor

Such as time period initial value and rate.

But here the formula is simplified as ,

Here A= initial value r=rate and t =time period

Here A=245 and 1+r=1.12

i.e r=0.12 i.e 12%

Hence the rate give the best interpretation and more information about the function and scenario.


Related Questions

Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below

Answers

Answer:

a) Domain: x≥0

b) Range:  y≤-2

c) x-intercepts: None

d) y-intercepts: (0,-2)

e) f(4)= -4

Step-by-step explanation:

If this helps please mark as brainliest

(a) domain is [0,∞)

(b)  Range is [-2,-∞)

(c) X intercept is none

(D) Y intercept is (0,-2)

(E) f(4)=-4

Given :

Use the given graph to determine the domain , range etc.

Explanation :

Domain is the set of x values on the graph

The graph starts at x=0 and goes on .

So domain is [0,∞)

Range is the set of y values on the graph

The graph starts at y=-2 and it goes down

Range is [-2,-∞)

X intercepts are the points where the graph crosses or touches x axis

The graph does not cross the x axis

X intercept is none

Y intercepts are the points where the graph crosses or touches  y axis

The graph touches y axis at -2

Y intercept is (0,-2)

To find out f(4) we look at the y value when x=4

f(4)=-4

Learn more :  brainly.com/question/23527715

Someone help me please

Answers

Answer:

7/8 or the bottom right

Step-by-step explanation:

Is this statement true or false?
The unpaid balance is the sum of the previous balance and the new charges.

Answers

Answer: true

Step-by-step explanation:

A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?

Answers

Answer:

The rabbit will run 264feet to get to the tortoise

Step-by-step explanation:

To solve this problem perfectly, we need to take note of the units and conversions involved.

The speed of the tortoise is 0.1 mi/hr

The speed of the hare is 5mi/hr

If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.

The tortoise runs 0.1 miles in 1 hour

The tortoise will run x miles in 0.5 hours.

x = 0.5 X 0.1 =  0.05 miles.

Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.

The hare will have to run for 0.05 miles before he can catch up to the tortoise.

It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.

The answer in feet is 264 feet.

Therefore, the rabbit will run 264feet to get to the tortoise

Find all the missing elements.
Round to the nearest tenth.
C
a
b
a = 5
b = 2
C = 6
B
A
С
A = [?]° B = [ 1° C = [ 1°

Answers

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

n squared plus 3 sequence

Answers

Answer:

n² + 3

this is the expression

Step-by-step explanation:

N2+3 that sis the answer

Can anyone help me out

Answers

Answer:

14.49 people per square mile

Step-by-step explanation:

Divide to find the answer:

836,109/57,714 = 14.49

What is 720° converted to radians?
One-fourth
StartFraction Pi Over 4 EndFraction
StartFraction 4 Over pi EndFraction
4 pi

Answers

Answer:

Step-by-step explanation:

Answer:

720 degrees is 4pi

Step-by-step explanation:

mathematically;

1 pi is 180 degrees

x pi is 720 degrees

x * 180 = 1 * 720

x = 720/180

= 4 pi

what is the surface area of this rectangular prism.Enter your answer in the box.A rectangular prism with dimensions 6 meters by 3 meters by 12 meters.

Answers

Answer:

?

Step-by-step explanation:

so first you have to do the formula then it would give you the answer

if two lines do not intersect, they are parallel

Answers

Answer:

true

Step-by-step explanation:

True, because n math, parallel means two lines that never intersect — think of an equal sign.

What is 10% of 7,518?

Answers

Answer:

751.8

Step-by-step explanation:

10% of 7,518 is 751.8

Find the volume of this triangular prism:

Answers:
350in3
175in3
22in3
200in3

Answers

The answer is 175in3.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

7

Step-by-step explanation:

Given :

A right angled triangle with one angle 64° and side 15 .

And we need to find the value of x to the nearest tenth. So the correct approach will be ,

[tex]:\implies[/tex] tan 64° = p/b

[tex]:\implies[/tex] tan 64° = 15/x

[tex]:\implies[/tex] x = 15 / tan64°

[tex]:\implies[/tex] x 7

He commited a mistake in 2nd step. He should have written 15/ tan64° .

Hence the correct answer is 7 .

HELP ASAP I WILL GIVE BRAINIEST AND 100 POINTS PLEASEE

Answers

Answer:

What are the options tho?

Step-by-step explanation:

Answer:

1/10?

Step-by-step explanation:

total:250

red:25

25/250 simplified=1/10

1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer

Answers

Answer:

8x + 28

Step-by-step explanation:

put these algebraic expressions into verbal expressions and Coefficient/Variables

1. x^2 - 2 = 5
2. 3 - 5x = - 10

Answers

Answer:

1. 2 subtracted from x² equals 5

2. The product of x and 5 subtracted from 3 is -10

Step-by-step explanation:

1.) x² - 2 = 5

2 subtracted from x² equals 5

2.) 3 - 5x = -10

The product of x and 5 subtracted from 3 is -10

Neglecting air resistance, an object in free fall accelerates at 32 feet per second squared. So the velocity of the object t seconds after being dropped is 32t feet per second. Suppose a ball is dropped from the top of the Sears Tower.
Use integration to find how far the ball would fall in the first six seconds.
a.
546
c.
576
b.
567
d.
612

Answers

Answer:

The correct answer is 576

Step-by-step explanation:

Use integration to solve. Correct on edge 2021

Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.


M(–5, –6) is rotated 90° clockwise.

Step 1. Use the rule (x, y)g(y, –x).

Step 2. Switch x and y coordinates:
(–6, –5)

Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)

Step 4. Simplify:
(6, –5)


Mira made an error in Step

Answers

Answer:

3

Step-by-step explanation:

Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.

It should give (-6, (-1)-5).

Step-by-step explanation:

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

Those are they only numbers that aren't equal to or less than the third side.

an are whose measure is exactly 180°​

Answers

Answer:

Mmeasure is exactly 180°​

semi-circle because the measure of a whole circle is 360°.

Arc :

The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped partway around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.

please help. 10 points

Answers

Answer:

8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3

Step-by-step explanation:

Sry If it doesn't make sense!

If you are confused let me know and I will explain in the comments.

Dilbert recently hired a mechanic to do some necessary work. On the final bill, Dilbert was charged a total of $712.
$430 was listed for parts and the rest for labor. If the hourly rate for labor was $47, how many hours of labor was
needed to complete the job?

Answers

Step-by-step explanation:

Dont understand, sorry!!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer:

A.   Midline is -1

Step-by-step explanation:

A recent study in a small city stated that the average age of robbery victims was 63.5 years. A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years. At = 0.05, is the average age higher than originally believed?

Answers

Answer:

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

Step-by-step explanation:

A recent study in a small city stated that the average age of robbery victims was 63.5 years. Test if the average age higher than originally believed.

At the null hypothesis, we test that the mean is the believed mean age of 63.5 years, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternate hypothesis, we test if this mean is higher, that is:

[tex]H_1: \mu > 63.5[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

63.5 is tested at the null hypothesis:

This means that [tex]\mu = 63.5[/tex]

A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years.

This means that [tex]n = 20, X = 63.7, s = 1.9[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{63.7 - 63.5}{\frac{1.9}{\sqrt{20}}}[/tex]

[tex]t = 0.47[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 63.7, which is a right-tailed test, with t = 0.47 and 20 - 1 = 19 degrees of freedom.

With the help of a calculator, this probability is of 0.3219.

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

PLS GIVE ME AN EXPLANATION.. BUT NO LINKS...If the diameter of a cylinder is 14 feet and its height is 4 feet, the volume of the cylinder is 2,461.76 square feet. True False

Answers

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Look up cylinder and enter the height and diameter into the calculator and you will see it does not equal 2,461.76 sqaure feet.

Help . Describe the graph of a function g by observing the graph of the base function f.

Answers

Answer:

its d

Step-by-step explanation:

I've taken this quiz before

A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​

Answers

Answer:

w=6

l=14

Step-by-step explanation:

Area of rectangle = l*w

So:

[tex]w*(w+8)=84[/tex]

Then, just find w, and w+8.

[tex]w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14[/tex]

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14

Practice:

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-133°

a. 1.16 units
b. 2.32 units clockwise
c. 0.74 units clockwise
d. 0.74 units

Please select the best answer from the choices provided

Answers

Answer:

B. 2.32 units clockwise

Step-by-step explanation:

I calculated it logically

Write in the equation for the slope intercept form and please no links or I will report you

Answers

Answer:

y = 3/2x + 8

Step-by-step explanation:

using points (-2,5) and (0,8),

we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!

For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples).
A researcher is interested in whether people eat more or less when they are in a hurry. The researcher collects a random sample of 80 adults and invites them to eat two (identical) free meals one month apart. For one of the meals, no time restriction is placed on the meal. For the other meal, participants are told when their meal is served that they have only 10 minutes until another group is due to sit down. Half of the participants eat their hurried meal first; the other half eat it second. The researcher compares the amount eaten at each sitting. The design described_____.
John Cacioppo was interested in possible mechanisms by which loneliness may have deleterious effects on health. He compared the sleep quality of a random sample of lonely people to the sleep quality of a random sample of nonlonely people. The design described____.
a. uses a related sample (repeated measures).
b. uses a related sample (matched subjects).
c. does not use a related sample.

Answers

Answer:

A.) uses a related sample (repeated measures).

B.) does not use a related sample.

Step-by-step explanation:

The first scenario uses a related sample whereby same subjects were used to over the course of each related experiment (comparing if people eat more or less when in a hurry). After the completion of both experiment, we'll have two different reading for each subject which a b further be used to compare the difference in consumption when in a hurry and when not.

The second scenario here fails to employ a related sample design as the the subjects used have contrasting characteristics, a group consisting of lonely people and another consisting of those who aren't lonely.

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