Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.

Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?

Answers

Answer 1

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.


Related Questions

What is one-half the sum of 142 and 8

Answers

75 is one half the sum of 142 and 8

Answer:

142+8=150

150/2=75

Dakota earned ​$8.75 in interest in Account A and ​$28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and ​4% for Account​ B, which account has the greater​ principal?

Answers

so B should be the answer

Step-by-step explanation:

account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also

Which of the following is an angle shown in the drawing?




∠GHB
∠KIH
∠HDE
∠FEI

Answers

Answer:

HDE

Is there more than one answer choice?

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZ

mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)​

Answers

Answer:

The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)

mDE = 128

mBC = 63

=> 1/2 (128 - 63)

=> 32.5 = mZA

Hope this helps!

If the nth term of a sequence is 10n what is the 12th term

Answers

Answer:

10th term is 120.555

Step-by-step explanation:

The 12th term in the sequence is 120

To find this, you substitute 12 for n in 10n

Find the distance between the two endpoints.
(-6, 1) and (-3, 1)

Answers

Answer:

3

Step-by-step explanation:

distance formula

Where can you buy a ruler that is 3 feet long?

Answers

It’s called a yard stick, and at a hardware store.

Answer:

At a yard sale

Step-by-step explanation:

The equation for the speed/distance of a tornado is
s = 93 log(d) + 65.
If the speed is 310 mph, what is the distance?

Answers

Answer:

430.93 miles (rounding to the nearest hundredth)

Step-by-step explanation:

s = 93 log(d) + 65

310 = 93 log(d) + 65

245 = 93 log(d)

2.634408602 = log(d)

10^2.634408602 = 10^log(d)

430.9318583 = d

Therefore, if the speed of the tornado is 310 mph, then its distance is about 430.93 miles.

Solve for e.

e² = 36

Enter your answer in the box.

e = ±

Answers

Answer:

e= 2.718281828459........

Answer:

he told u so ya

Step-by-step explanation:

Find the distance speed=96km/h time=20 mins

Answers

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

Distance=Speed×Time

➜96×1/3

➜96/3

➜32km

Find the area of an equilateral triangle that has a perimeter of 24 units.

Answers

Answer:

32!

Step-by-step explanation:

area of a triangle is bh/2

the base and height are the same (8)

8*8 is 64

64 ÷ 2 is 32

Which values are equivalent to the fraction below? Check all that apply.
Please help me
The answer choices are on the photo

Answers

Answer:

c

Step-by-step explanation:

hope this hellpppeedd

The answer its 1/16

The rectangular prism has a base that is 3x9 m and a height of 2m
What is the volume of this greenhouse?

Answers

Answer:54

Step-by-step explanation: 2*3*9=54

Find the length DE. Round your answer to the nearest tenth of a meter

Answers

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8

How do u find the area of a square? And other shapes??! Please help failing classes!

Answers

Answer:

you find the area of a square by multiplying the side length by the side length. For example, the side length of a square is 10, then the area of the square would be 10 * 10= 100, the area would have been 100. A=l*l

I dont know what other shapes do you need so i would tell you how to find the area of a triangle. you find it by multiplying the base and the height and times it by 1/2.  A=1/2*b*h

Answer:

Finding Area Of Shapes

Step-by-step explanation:

The formula for solving for area of a square is A= S x S which basically means Area = Side multiplied by side, S is the length of each side of the square. With squares, it's much easier to find the length because it's all going to be the same on each side so you multiply the number by its self to get your answer.

Example :  

8 x 8 = 64

So the area of the square would be 64 if each side were 8 because you're going to multiply using 2 sides and multiply that number by itself.

Hope this helps let me know if you need any other help!

A square is split into four

similar squares, one of

the new squares is split

into fourths again, and

this process continues.

What kind of sequence

does this demonstrate?

Answers

Answer:

Geometric Sequence.

Step-by-step explanation:

We are told that the square is split into 4 similar squares. One of the new squares is now split into fourths again and this same sequence is repeated over again.

This means that there is a common ratio which is ¼.

Since there is a common ratio and not common difference, this sequence is said to be a geometric sequence.

wats 3/4 x12
plus the work and how to solve it

Answers

Answer:

9

Step-by-step explanation:

You divide 3 by 4 first and you'll get the anser 0.75, then multiply it by 12.

Simone read online that the failure rate in Arizona for the first attempt of the written driver’s test is 60%. Simone thinks the Arizona rate is less than 60%. To investigate, she selects an SRS of 50 Arizona drivers and finds that 27 failed their first written driving test. To determine if this provides convincing evidence that the failure rate for Arizona is less than 60%, 200 trials of a simulation are conducted. Simone’s hypotheses are: H0: p = 60% and Ha: p < 60%, where p = the true proportion of Arizona drivers who fail the first attempt of the written driver’s test. Based on the results of the simulation, the estimated P-value of this test is 0.035. Using ∝ = 0.05, what conclusion should Simone reach?

Answers

Answer:

The answer is "Choice d".

Step-by-step explanation:

Please find the complete question in the attached file.

Although Simone read today, a first written driver test rate of failure is 60 percent to Arizona.

Range of population = p = 0.60 . Simone assumes the Arizona average would be below 60%. She selects an SRS of 50, but she discovers 27 have failed their first published driver's test (sample size n= 50).

Now 200 simulated experiments were conducted to determine when that offers compelling proof which Arizona has a failure rate of less than 60%. The hypothesis of Simone is p = 60% and p < 60% where p = true share of Arizona pilots who fail the very first test of a written pilot.

The evaluated P-value of this experiment is 0.035 based on the results of the simulation. α = 0.01 

Whereas if p-value < α = degree of significance, we reject the null hypothesis. p-value [tex]= 0.035 > 0.01[/tex]

a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!

Answers

we know that

1 ft--------> is equals to 12 in

the ramp is 12 inches tall----------> 1 ft tall

A ramp measures------------------>  6 ft long

applying the Pythagorean theorem

c²=a²+b²

where

c-----> 6 ft long

a----> horizontal distance

b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is

5.92 ft

Answer:

6.08 or so

Step-by-step explanation:

The height is 1 foot, while the length is 6 feet.

You can use the Pythagorean Theorum to solve this, as you plug in the values.

The theorum states that A squared plus B squared = C squared, where A is  the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)

So if we plug in the values:

1 squared plus 6 squared = C squared.

1 + 36 = 37

Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.

So usually we round to the hundredths place, so we can use 6.08.

Help me quick please solve in inequality please

Answers

Answer:

B

i don't know how to explain what i did correctly but the answer is B

Answer:

D.

Step-by-step explanation:

x + 3 is 3 more laps

≥ 12 means at least 12.

How do you calculate
√25+√16-√49 in BODMAS​

Answers

Answer:2

Solution:

[tex] \sqrt{25} = 5 \\ \sqrt{16 } = 4 \\ \sqrt{49} = 7[/tex]

5+4-7 = 9-7 = 2

Our Answer 2

Answer:

The answer is 2

Step-by-step explanation:

√25 = 5

√16 = 4

√49 = 7

Now,

√25 + √16 - √49

5 + 4 - 7

9 - 7 = 2

Thus, The answer is 2

-TheUnknownScientist

Alright another here we go, Please help!

Answers

Answer:

4x=y

Step-by-step explanation:

4x=y is your answer because if x is 5, like in the table, then 4(5) would equal 20, which is the y-value. It also works for every number in the table.

Hope this helps.

Solve for x in the following equations:

-8x -10y = -2 when y = -3

A) -3
B) -6
C) 4
D) -2

Answers

Step-by-step explanation:

A) = 54 so it is wrong

B) = 78 so it is wrong

C) = -2 so it is right!

No need to do D since we already found the correct answer.

I hope I helped! :)


[tex] \frac{5}{6} \times \frac{7}{8} \times 1 \frac{5}{7} [/tex]

Answers

Answer:

5/4 or 1 1/4 will be your answer!

Step-by-step explanation:

oki, so let's simplify first ofc, then multiply.

5/6 x 7/8 x 12/7 =

35/48 x 12/7 =

420/336=(gcf of 420 and 336 is 84)

5/4=

1 1/4

pls help I'll give 20 points!

Answers

Answer:

3/4 of 5

= 3/4 × 5

= 15/4

= [tex]3\dfrac{3}{4}[/tex]

If you flip a coin and roll a six sided die what is the probability that you will flip a heads and roll at least a three

Answers

Answer:

1/3

Step-by-step explanation:

H3,H4,H5,H6

p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6

=4×1/2×1/6=1/3

What is (f - g)(x)?
f(x) = -2x + 4
g(x) = -x2 + 4x + 5

Answers

Step-by-step explanation:

[tex] ( - 2x + 4) - ( - {x}^{2} + 4x + 5) = {x }^{2} - 6x - 1[/tex]

Solve the following system of equations for x
2x-y=4
y-x=4

Answers

Answer:

What do i do???

Step-by-step explanation:

Answer:

x = 8

y = 12

Step-by-step explanation:

Given equations are -

2x - y = 4         .......(1)

-x + y = 4         ........(2)

Add both equations, we get

2x - y + (-x + y) = 4 + 4

⇒2x - y - x + y = 8

⇒x = 8

Now,

Put the value of x in equation (2), we get

y - 8 = 4

⇒y = 4 + 8

⇒y = 12

∴ we get

x = 8

y = 12

will name the brainliest

Answers

Answer:

sin A = 13/85

Step-by-step explanation:

Opposite Angle A is side BC, of length 13.  The length of the hypotenuse is 85.  The sine function is defined as the ratio opp/hyp.  In this problem that ratio is

opp

------ = sin A = 13/85

hyp

We use the inverse sine function arcsin x to determine Angle A:

A = arcsin 13/85 = 8.8 degrees

Answer:

Sin(A) = [tex]\frac{13}{85}[/tex]

Step-by-step explanation:

Sin ratio = [tex]\frac{opposite}{hypotenuse}[/tex] (according to the given or asked angle)

Sin (A) = [tex]\frac{13}{85}[/tex]

Hope this helps!

Please help me, I'm suffering from all of these parallel lines ;9
Only 1 is needed, but doing both would be godly <33

Answers

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

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