Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1



plssss I need this now ​

Answers

Answer 1

Answer:

Model: y = 370 * (1.1)^t

Time for 600 cells: after about 5 hours

Step-by-step explanation:

The function that models an exponencial growth is:

y = Po * (1 + r)^t

Where y is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:

y = 370 * 1.1^t

To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:

600 = 370 * 1.1^t

1.1^t = 600/370

1.1^t = 1.6216

log(1.1^t) = log(1.6216)

t * log(1.1) = log(1.6216)

t * 0.0953 = 0.4834

t = 0.4834 / 0.0953 = 5.0724 hours


Related Questions

Brandon has 32 pieces of paper. Sophia has 2 times as many pieces of paper as Brandon.
How many pieces of paper does Sophia have? Enter the answer in the box.
pieces of paper

Answers

Answer:

Sophia has 64 pieces of paper.

Step-by-step explanation:

Brandon = 32 pieces of paper.

2(Sophia) x 32 = 64 pieces of paper.

Please help me with this !:(

Answers

Answer:

75.062c[tex]m^{2}[/tex]

Step-by-step explanation:

To find the missing side use pythagorean theorem

So [tex]6^{2} +b^2=8.5^2[/tex]

Solve for b, b= 6.021

To find the area use [tex]\frac{1}{2}[/tex]bh

So [tex]\frac{1}{2}[/tex](6.021+19)(6)= area

And you get 75.062

Which linear inequality is represented by the graph?


y > Two-thirdsx – 2

y < Two-thirdsx + 2

y > Two-thirdsx + 1

y < Two-thirdsx – 1

Answers

The inequality that represents the graph is y < (2/3)x - 1. Then the correct option is D.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The two points are given below.

(3, 1) and (-3, -3)

The inequality is given below.

(y + 3) < [(1 + 3) / (3 + 3)](x + 3)

y + 3 < (2/3)(x + 3)

y + 3 < (2/3)x + 2

y < (2/3)x - 1

The inequality that represents the graph is y < (2/3)x - 1. Then the correct option is D.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ6

Answer:

D fasho

Step-by-step explanation:

harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces what is an equation of the line parrallel to the line on the graph that passes to the graph that passes through (2, 25)

Answers

Answer:

The answer is "[tex]\bold{y=4x+17}[/tex]".

Step-by-step explanation:

In the given statement the graph is missing. So, the correct solution to this question can be described as follows:

Given

graph point: [tex]\bold{(2, 25)}[/tex]

Line points: [tex]\bold{(0,10), \ \ and \ \ (10,50)}[/tex]

The Formula of slope:

[tex]\boxed{M= \frac{y_2-y_1}{x_2-x_1}}\\\\\Rightarrow x_1= 0, y_1= 10 \\\\\Rightarrow x_2= 10, y_2=50\\\\\Rightarrow M= \frac{50-10}{10-0}\\\\\Rightarrow M=\frac{40}{10}\\\\\Rightarrow M= 4\\[/tex]

Assuming  point: (x,y)

Graph point: (2,25)

M= 4

Equation:

[tex]\Rightarrow \frac{25-y}{2-x}=4\\\\\Rightarrow 25-y=4(2-x)\\\\\Rightarrow 25-y=8-4x\\\\\Rightarrow y= 4x-17\\[/tex]

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

x = 3/2            x = -5/2

Step-by-step explanation:

(2x+3) ^2 - 4(2x+3) - 12 = 0

Let m = 2x+3

m^2 - 4m - 12 = 0

Factor

(m-6) (m+2) = 0

Using the zero product property

m-6 = 0    m+2 =0

m = 6    m = -2

Substitute m = 2x+3 back into the equation

2x+3 = 6        2x+3 = -2

2x = 3            2x = -5

x = 3/2            x = -5/2

URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. what is the length of the first piece, the second piece, and third piece?

Answers

Answer:

Step-by-step explanation:

let length of first piece = x in

length of second piece = 2x

length of third piece = 5x

x+2x+5x= 16

8x =16

x =16/8

x=2

length of :

first piece =2 inches

second piece = 4 inches

third piece = 10 inches..

please mark me as the brainliest..

Answer:

2, 4, 10 in

Step-by-step explanation:

The first piece is x thus the second piece is 2x ( twice as long as first ) and

the third piece is 5x ( five times as long as the first )

Add the 3 together and equate to 16

x + 2x + 5x = 16, that is

8x = 16 ( divide both sides by 2 )

x = 2

Thus

first piece = x = 2 in

second piece = 2x = 2 × 2 = 4 in

third piece = 5x = 5 × 2 = 10 in

What is the most reasonable for the weight of a table and four chairs? A 19 pounds B 90 pounds C 900 pounds D 9 tons

Answers

Answer:

B. 90 pounds.

Step-by-step explanation:

19 pounds would be too light, 900 pounds would be too heavy, and 9 tons is equal to 18,000 pounds which is wayy too heavy.

Hope this helps!

Franco made a dozen muffins for his party. Upon taking them out of the oven,
he noticed that 2 of the muffins were badly burned. Franco served of the remaining muffins.
10
Which equation shows the fraction of the non-burned muffins that remains?

Answers

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = [tex]\frac{7}{10}[/tex]

Remaining muffins = 3

Fraction of remaining muffins = [tex]\frac{3}{10}[/tex]

Fraction of remaining non-burned muffins we can get from,

[tex]\frac{10}{10}-\frac{7}{10}=\frac{3}{10}[/tex]

Option B is the correct equation.

WA
Line segment WX is the radius of circle X, and line
segment ZY is the radius of circle Y. Points W, X, C, Y, and
Z are all on line segment WZ.
What is the area of circle C, which passes though points W
and Z?
X
O 81 T units?
10
O 164 TT units?
O 324 units?
O 1296 units
Mark this and retum
Save and Exit
Next
Submit
ch

Answers

Answer:

I think the answer is C. 324 but i'm not sure. lemme know if i'm wrong and what the correct answer is

Step-by-step explanation:

The area of the given Circle C is; 324π

What is the area of the circle?

From the attached diagram, we see that;

WX is the radius of circle X and is equal to 8 units

Similarly, ZY is radius of circle Y and is equal to 10 units.

Thus, diameter of circle X = 8 * 2 = 16 units

Diameter of circle Y = 10 * 2 = 20 units

Thus;

Diameter of circle C = 20 + 16 = 36 units

Area of Circle C = π * 36²/4

Area of Circle C = 324π

Read more about Area of circle at; https://brainly.com/question/15673093

PLEASE HELP I DON’T HAVE MUCH TIME LEFT TO TURN THIS IN AHHH HELP MEEEEEE

Answers

Answer: 1 goes to 3, 2 goes to 1, 3 goes to 2, and 4 goes to 4

Step-by-step explanation:

can someone help me evaluate this?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

So first rewrite the inside of the parentheses as improper fractions:

[tex]\frac{8}{9}[/tex] ÷ [tex](\frac{25}{4}*\frac{16}{5}-18)[/tex]

Now simplify the inside:

[tex]\frac{8}{9}[/tex] ÷ 2

Which is:

[tex]\frac{8}{18}=\frac{4}{9}[/tex]

PLEASE HELP IM DESPERATE IVE BENN WORKING ON THIS FOR THE PAST 48 HOURS I AM MARING BRAINIEST!: A constructor is measuring the perimeter of a plot for a building. 31% of the way around the perimeter, the constructor has measured 14 meters. How far around is the entire perimeter? Round your answer to the nearest hundredth.

Answers

Answer:

P = 45.16 meters

Step-by-step explanation:

Let the perimeter by P

31% of P is 14 meters

P*31% = 14 meters

Change to decimal form

P*.31 = 14

Divide each side by .31

P*.31/.31 = 14/.31

P =45.16129032

Rounding to the nearest hundredth

P = 45.16 meters

Drag vertices B and C of the triangle. Then, conjecture about the relationship between angle measures and side lengths in a triangle.



If the angle measure is the largest of the triangle, what do you know about the side opposite?



It is the length.



If a side is the shortest of the triangle, what do you know about the angle opposite that side?



It is the degree measure

Answers

Answer:

1. longest

2. smallest

For the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

You will know that for the largest angle measure, the side opposite the angle will be the longest side.You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

Recall the conjecture about the relationship between the sides and angles of a triangle:

The largest angle in a triangle always faces the longest side of the triangle.

The smallest angle in a triangle always faces the shortest side of the triangle.

Thus, for the triangle mentioned here, the following is what will be obtainable based on the conjecture about relationship between sides and angle measures of a triangle:

You will know that for the largest angle measure, the side opposite the angle will be the longest side.You will know that for the shortest side in the triangle, the angle opposite it will be the smallest angle measure.

Learn more here:

https://brainly.com/question/10695554

Water is considered “safe to drink” when the bacteria population in the water is less than 75 parts per liter. “Treatment C” can kill bacteria at a rate of 11.5% per hour. If creek water is contaminated with a bacteria level of 1000 parts per liter, how long will it take to make the water safe to drink if treated with “Treatment C”?

Answers

Answer:

Step-by-step explanation:

lol

Given the function fx=x^2-4x-5 identify the zeros using factorization

Answers

Answer:

x = 5,-1

Step-by-step explanation:

(x-5)(x+1)

khan academy is giving me only this explanation but won't go into detail and I cannot understand it for the life of me. how do I know what number to multiply both variables by? what exactly does expanding the parentheses mean? help​

Answers

Answer:

12 - 4i

Step-by-step explanation:

-2i ( 2+6i)

Distribute

-2i * 2 + -2i *6i

-4i - 12 i^2

We know that i^2 = -1 so replace it

-4i - 12(-1)

-4i + 12

Then put in the order a+bi  where the real number comes first and the imaginary number comes last

12 - 4i

Which side of ADEF is the longest?

Answers

Answer:

B: EF

Step-by-step explanation:

This is a right triangle. In a right triangle there are always 2 legs and 1 hypotenuse. The hypotenuse is the side opposite the right angle and is always the longest side. Therefore, EF is the longest side.

Hope this helps! (Please consider giving brainliest)

What are the solution of the equation 3x2 - 5x + 2 = 0 ?​

Answers

Answer: x = -1.6

Step-by-step Explanation:
Move -5x to the other side of the equal sign so it is now 3x2+2=-5x
3x2=6
6+2=8
Then you divide both sides,
-5x/-5 = 8/-5

X = -1.6

Answer:

1 and 2/3

Step-by-step explanation:

how many cylindrical glasses 6cmin diameter and 10cm deep can be filled from cylindrical jug 10cm in diameter and 18cm deep​

Answers

Answer:

Step-by-step explanation:

So we need to divide the volume of the cylindrical glasses by the cylindrical jugs to see how many we can fill.

The equation to find the volume of a cylinder is Height*Area of Circle

To find the area of a circle is: [tex]\pi r^{2}[/tex]

In this senario "r" (radius) is 3 (d/2)

Volume for cylindrical glass:

hx[tex]\pi r^{2}[/tex]

= 10x 3.14x 3^2

= 10x3.14x 9

= 282.6[tex]cm^{3}[/tex]

Now for the cylindrical jug:  r= 5 and h=18

hx[tex]\pi r^{2}[/tex]

= 18x3.14x5^2

= 18x3.14x25

= 1413[tex]cm^{3}[/tex]

Now finally we divide them:

1413/282.6

= 5

So they can fill 5 cylindrical glasses :)

which equation be used to find the surface area of the cylinder

Answers

Step-by-step explanation:

Is this the one you needed??

major help please :)

Answers

Answer:

B.

Step-by-step explanation:

[tex](\frac{x}{y} )^{a} = \frac{x^{a}}{y^{a}}[/tex]

[tex](\frac{-11}{14} )^{5} = \frac{(-11)^{5}}{14^{5}}[/tex]

The Juarez family is making a cross- country trip on Saturday they traveled 450.8 miles on Sunday they traveled 604.6 miles how many miles have they traveled so far

Answers

Answer:3

Step-by-step explanation:$;$$;!’

2. The best way to mathematically write the phrase
"eighteen increased by seven times a number is eight” is:
18 + 7n = 8
18 + 7 + n=8
7n + 18 = 8

Answers

Answer:

18+7n=8

Step-by-step explanation:

18

increased by means +

7 times a number

18+ 7n

is means equal

18+7n=8

Answer: 18+7n=8

Explanation:

“Eighteen increased by” is 18+
“Seven times a number” is 7(n) or 7n
“Is eight” is =8

Just remember to break up the phrase into segments and remember when to use the correct operators.

Hope this helps :)

Which is not a way to name a line, (XYZ)?

Answers

Answer:

YZX, YXZ, ZXY, XZY

Step-by-step explanation:

Please tell me the answer for
Factorise 15p square - 7q square

Answers

Step-by-step explanation:

15p square - 7q square

square(15p-7q)

hope it helps

Em um jogo de Xbox 360, Artur conquistou 50.000 pontos. Luiz Diego conquistou 7.645 pontos a menos que Artur no mesmo jogo. Quantos pontos conquistou Luiz Diego? *

Answers

Answer:

350.645 pontos

Step-by-step explanation:

Answer:

I'll shall take

Step-by-step explanation:

And I shall leave

Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it?

Answers

Answer:

Probability that both of them use it = 0.3945

Step-by-step explanation:

Given:

Student use app = 63%

Number of chosen student = 2

Computation:

Assume total number of student = 100%

So, probability that both of them use it.

⁶³C₂ / ¹⁰⁰C₂

[tex]\frac{\frac{63!}{2! 61!} }{\frac{100!}{2! 98! } } \\\\\frac{63\times 62}{100 \times 99} \\\\\frac{3,906}{9,900} \\\\0.3945[/tex]

Therefore, probability that both of them use it = 0.3945

The FDA regulates that fresh Albacore tuna fish contains at most 0.82 ppm of mercury. A scientist at the FDA believes the mean amount of mercury in tuna fish for a new company exceeds the ppm of mercury. The hypotheses are: H0:µ = 0.82 H1:µ > 0.82 What is a type II error in the context of this problem? A. The fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury. B. The fish is accepted by the FDA when in fact it had less than 0.82 ppm of mercury. C. The fish is rejected by the FDA when in fact it had less than 0.82 ppm of mercury. D. The fish is rejected by the FDA when in fact it had more than 0.82 ppm of mercury.

Answers

Answer:

Option A

Step-by-step explanation:

A type II error occurs when the researcher fails to reject the bull hypothesis when it is false.

In this study, the

null hypothesis is H0:µ = 0.82 while the alternative hypothesis is H1:µ > 0.82

Thus, the type II error will be that the fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury.

Substitute with One Solution

2x -y=-11
6x + y = 3​

Answers

Answer:

x=1, y = -3

Step-by-step explanation:

2x -y=-11

6x + y = 3​

Add the two equations together

2x -y=-11

6x + y = 3​

--------------------

8x  = 8

Divide by 8

8x/8 = 8/8

x= 1

Now find y

6x+y = 3

6(1) +y = 3

6+y =3

Subtract 6 from each side

6+y-6 = 3-6

y = -3

I need to know what 9 plus 10 is.

Answers

Answer:

9 + 10 = 19

Step-by-step explanation:

Lets say you have 9 party guests. 10 more come to the party. Now you would have 19. (If it isn't 19 then 21)

Hope this helps.

Answer:19.

Step-by-step explanation: We arnt gonna put down a meme.

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