The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.

Answers

Answer 1

Answer:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periods

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

r = 50% = 0.5

If the starting amount of bacteria cells is 30 then:

a = 30

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Related Questions

Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6

Answers

Answer:

not a solution

Step-by-step explanation:

substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.

2(2) - 4(- 1) = 4 + 4 = 8 ← true

- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1

then (2, - 1 ) is not a solution of the system


I’m thinking trapezoid and rhombus but I don’t know

Answers

It’s a parallelogram for sure

Luke bought a video game system that costs $99.95 and games that cost $19.99 each. Bella bought a game system that costs $125.79 and games that cost $15.99 each. Luke spent no more than what Bella spent.

Which inequality represents this situation?

99.95 + 19.99x < 125.79 + 15.99x

99.95 + 19.99x < 125.79 + 15.99x

99.95 + 19.99x > 125.79 + 15.99x

99.95 + 19.99x > 125.79 + 15.99x

Answers

Answer:

a

Step-by-step explanation:

because < means bigger and 125 is bigger than 99

Answer:

99.95 + 19.99x ≤ 125.79 + 15.99y    

Step-by-step explanation:

Given:

Luke bought a video game system that costs $99.95 and games that cost $19.99 each.

Bella bought a game system that costs $125.79 and games that cost $15.99 each.

Luke spent no more than what Bella spent.

To Find:

Which inequality represents this situation?

Solve:

Let Luke bought = x.

Let Bella bought = y.

How much Luke paid = $99.95 + $19.99 × x = $99.95 + $19.99x

How much Bella paid = $125.79 + $15.99 × y = $125.79 + $15.99y

Luke paid is equal or lesser than how much Bella paid, then

99.95 + 19.99x ≤ 125.79 + 15.99y              

~lenvy~

Do number 27 please

Answers

Answer:

To find the volume of this figure, we must find the base area(pentagon) and multiply it by the figure's height.

Formula for area of a pentagon:-

A = 1/2 x p x a

Where 'p' represents the perimeter, and 'a' represents the apothem.

First, let's figure out the perimeter of the base pentagon.

One side of this pentagon is 10cm, and there are 5 side lengths of 10cm to this pentagon. So it'll result in (5 x 10) = 50cm altogether.

The apothem is given, 6.9cm.

So, we plug these into our formula:-

A = 1/2 x p x a

A = 1/2 x 50 x 6.9

A = 50/2 x 6.9

A = 25 x 6.9

A = 172.5cm, is the area of the pentagon.

Now we find the height of this figure and multiply it by the base area we've found(pentagon).

Our height is 17cm.

172.5(17)

= 2,932.5 cubic centimetres, is our volume.

simplified?

(7 × 10^7) × (7 × 10^-2)

Answers

4.9 x 10^6

Good luck on your assignment

Sam rode a bull for 8 seconds.
Maddie rode a bull for 2 fewer seconds than Sam did.
How long did Maddie ride her bull?

Answers

Answer:

is it 7?

Step-by-step explanation:

if he rode for 8 seconds and it says she rode for 2 seconds FEWER are you not subtracting from 8 to get 7?

Writing linear functions
Use the graph or table to write a linear function that relates y to x

Answers

Step-by-step explanation:

3. Slope is postive

x1=6

x2=3

y1=10

y2=6

m=6-10/3-6

m=4/3

y=mx+b find b

10=4/3*3+b

10=4+b

b=6

y=4/3x+b

4.slope is zero

y=b

Y=3

A circular flower bed is 24m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for pie (round to nearest 10th)

Answers

Answer:

163.3m²

Step-by-step explanation:

area = Pi(r²)

r = d / 2

r = 12

12² = 144

144 x 3.14 = 452.16

diameter of bigger circle = 24 + 4 (2 on each side)

28 / 2 = 14

14² = 196

196 x 3.14 = 615.44

sidewalk = bigger - smaller

sidewalk = 615.44 - 452.16

sidewalk = 163.3

Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest

Answers

Answer:

185,500 -.15(185,500)=157,675

Yes he can afford it, it doesn't go over his income and it's %27 below.

Question on picture(how the question short bozo)

Answers

Answer: The correct answer is C.

Step-by-step explanation: C Shows multiple animals and shows plants. It also shows water which is needed in an ecosystem.

Hope this helps!

I neeed helpppppppppppppppppppp

Answers

Answer:

1: 1; 3: 4; 5: 3

Step-by-step explanation:

when you have a negative exponent it basically is the regular exponent but the number is put over one

so 2^-2 is 1/2^2 which is 1/4

1/4 * 4 is 1

then for three

you have

(1/2)^-1

when the number is a fraction and you have a negative exponent you can put the number on the top

so this is 2

2 * 2 is 4

for the last one

anything times 0 is 1

this means that the answer is 3

Answer:

1. 1

3. 4

5. 3

Step-by-step explanation:

3.y= 2 (1/2)^x where x= -2

1/2=2^-1

(2^-1)^-1

-1×-1

=1

=2^1

2 (2)

=4

1. y=4 (2)^x

2^-2

1/2^2

=1/4

=4×1/4

=1

5.y=3 (1/3)^X

1/3=3^-1

(3^-1)^0

3^0

=1

3(1)

=3

Rowan has 3 pieces of yarn, as described below. *a red piece of yarn that is 3/4 foot long *a yellow piece of yarn that is 6/8 foot long * a blue piece of yarn that is 4/12 foot long Wich number sentence correctly compares the lengths of 2 of these pieces of yarn. A 3/4 < 3/6 B 4/12 < 3/4 C 3/4 > 6/8 D 4/12 > 6/8

Answers

Answer:

b

Step-by-step explanation:

because all the orher ones are wrong and not correct.

Is -9,8 a solution to y=-9

Answers

Answer:

No, it isn't.

Step-by-step explanation:

In (-9, 8), -9 is the x coordinate. The y is 8. In order for -9 to have been a solution, the y would have had to been -9.

Here's what I mean:

(The graph I drew is in the image. I hope it makes sense! Sorry for my bad handwriting, I'm not used to writing on computers.)

I hope this helps!

-No one

put the equation below into vertex form.

y=(x+9)(x+25)

Answers

Answer:

Step-by-step explanation:

A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?

Answers

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78


A toy is on sale for 15%. If the sales price is $79.90, what was the original price?

helpp mee

Answers

Answer:

$94.00

Step-by-step explanation:

First, do [tex]79.9*\frac{100}{85}[/tex]

Then multiply to get your answer of 94.

Yea just checked at the original price is 94.00

What's the answer?? I really need help

Answers

Answer:

100in^3

Step-by-step explanation:

1. Split the shape into 2 separate rectangles.

2. Use the volume of a rectangle formula for each and add together (look at picture above).

I hop this helps! Have a blessed rest of the night!

PLEASE HELP ASAP NO LINKS
Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10

10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315

Answers

function : p(x) = 65 + 25(x)

for 3 sells

p(3) = 65 + 25(3)p(3) = 140

for 10 sells

p(10) = 65 + 25(10)p(10) = 315

So,

140 ≤ p(x) ≤ 315

Answer:

D) 140 ≤ p(x) ≤ 315

Step-by-step explanation:

Domain

Henry sells 3 to 10 computers per day3 ≤ x ≤ 10

Range

To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315


Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units

Answers

Answer: C. 24 units

Step-by-step explanation:

C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.

The answer is C. 24 units

Need help. can anyone please give an explanation along with the answer?

Answers

Answer:

what's the question

Step-by-step explanation:

Answer these questions

Answers

Answer:

62

8.8

2.7

Step-by-step explanation:

that should be right. try that out

Answer:

62,8.8,2.8

Step-by-step explanation:

¡Practicamos!

create 10 sentences answer the questions asked

use this vocabulary:
el menú

la cuenta

el camarero / la camarera

el azúcar

el tenedor

la sal

la pimienta

la servilleta

el cuchillo

la cuchara

el vaso

el plato

la taza

me faltan

le traigo

me trae

de nada

¿algo más?

delicioso

¡Qué rica!

pedir

Tengo calor

Tengo frío

el postre

otro

tengo sueño

ahora

¿Qué desean Uds?



During the party, you will help serve food. To practice, pretend that you have to answer the following questions from guests.

1. ¿Dónde están los platos?

2. Me faltan la sal y la pimienta. ¿Me trae a la mesa?

3. ¡Qué rico! ¿Necesito azúcar o ya estátext annotation indicator en el café?

4. ¿Uds tiene camareros o necesito servir comida para mis niños?

5. Describe el menú por favor.

6. ¿Tienen otros postres con el pastel?

7. Necesito pedir refrescos. ¿Qué tipo tienen Uds.?

8. ¿Dónde están las servilletas?

9. Tengo frío. ¿Tienen Uds. algunas mesas a fueratext annotation indicator, en el sol?

10. ¿Cuál es la comida mejor, que Ud. recomienda?

Answers

Answer:

All

Computing

Commerce

verb

past tense: wrote

1.

mark (letters, words, or other symbols) on a surface, typically paper, with a pen, pencil, or similar implement.

"he wrote his name on the paper"

Similar:

put in writing

write down

put down

put in black and white

commit to paper

jot down

note

note down

make a note of

set down

take down

mark down

record

register

log

list

make a list of

inscribe

sign

scribble

scrawl

pencil

2.

compose, write, and send (a letter) to someone.

"I wrote a letter to Alison"

Similar:

correspond

write a letter

communicate

Help as soon as possible thanks

Answers

6x11=66ft
3x14=42ft

Add the answers together
42+66
= 108 squared feet

Use the dot plot to answer the question.

A dot plot that has 3 dots at 1, 4 dots at 2, 3 dots at 3, 4 dots at 4, 5 dots at 5, & 3 dots at 6.

What is the mean of the data set in the dot plot?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

The mean of the data set is 2.20

Determine whether the following sequence is geometric. If so, find the common ratio,
1.-3.9. - 27,...

Answers

Answer:

Yes, the sequence is geometric

common ratio (r) = -3

Step-by-step explanation:

Given:

[tex]a_1=1[/tex][tex]a_2=-3[/tex][tex]a_3=9[/tex][tex]a_4=-27[/tex]

If a sequence is geometric, common ratio [tex]r[/tex]:

[tex]r=\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]

Substituting the given values:

[tex]\implies \dfrac{a_4}{a_3}=\dfrac{-27}{9}=-3[/tex]

[tex]\implies \dfrac{a_3}{a_2}=\dfrac{9}{-3}=-3[/tex]

[tex]\implies \dfrac{a_2}{a_1}=\dfrac{-3}{1}=-3[/tex]

Therefore, as

[tex]\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}=-3[/tex]

the sequence is geometric with common ratio of -3

The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year

Answers

Answer:

16,688 people lived in that town in 2016.

Step-by-step explanation:

10,811 + 7.5% = 11,621.8 = 11,622 (2011)

11,622 + 7.5% = 12,493.6 = 12,494 (2012)

12,494 + 7.5% = 13,431.05 = 13,432 (2013)

13,432 + 7.5% = 14,439.4 = 14,440 (2014)

14,440 + 7.5% = 15,523 (2015)

15,523 + 7.5% = 16,687.225 = 16,688 (2016)

Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function

Answers

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.

A and b are supplementary angles. angle a measures 67° what is the measure of angle b​

Answers

Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

which of the following statements is true?

Answers

Answer:

D. In an axiomatic system, every statement, either its capable of being proven true or false.

Step-by-step explanation:

I'm sure.

A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their originally.

Answers

Answer:

10779

i think some error in this question

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