The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of decay of the population of bacteria? A. 25% B. 75% C. 0.75% D. 1.25%

Answers

Answer 1

Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

Answer 2

Answer:

A 25%

Step-by-step explanation

the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.

in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.

we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x


Related Questions

Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12

oof

Answers

Answer:

4 5 7

Step-by-step explanation:

i know it

Answer:

Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Step-by-step explanation:

Given: Set of numbers.

To find: Set that represent sides of an acute angled traingle.

We use the following result:

When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.

First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.

if sum > Square of last side ⇒ it is Acute Triangle

if sum = Square of last side ⇒ it is Right Triangle

if sum < Square of last side ⇒ it is Obtuse Triangle  

a). 4  , 5 , 7

4² = 16 ,  5² = 25 , 7² = 49

16 + 25 = 41

∵ 41 < 49

⇒ It is an Obtuse Traingle.

b). 5 , 7 , 8

5² = 25 , 7² = 49 , 8² = 64

25 + 49 = 74

∵ 74 > 64

⇒ It is an acute Triangle.

c). 6 , 7 , 10

6² = 36 , 7² = 49 , 10² = 100

36 + 49 = 85

∵ 85 < 100

⇒ It is an Obtuse Triangle.

d). 7 , 9 , 12

7² = 49 , 9² = 81 , 12² = 144

49 + 81 = 130

∵ 130 < 144

⇒ It is an Obtuse Triangle.

Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.

Kevin started his science test at 2{:}34\text { p.M.}2:34 p.M.2, colon, 34, start text, space, p, point, m, point, end text and finished the test 757575 minutes later. Kevin has football practice at 4{:}15 \text{ p.M.}4:15 p.M.4, colon, 15, start text, space, p, point, m, point, end text How much time did Kevin have between the end of the test and the beginning of football practice?

Answers

Answer:

26 Minutes.

Step-by-step explanation:

Kevin started his science test at [tex]2{:}34\text { p.M.}[/tex]

He finished the test 75 minutes later.

Now: 75 Minutes = 1 hr 15 Minutes

2:34 + 75 Minutes

=2:34+1:15

=3:49 P.M.

Kevin finished his test by 3:49 P.M.

Kevin has football practice at 4:15 P.M.

Therefore, the time Kevin had between the end of the test and the beginning of football practice

=4:15 P.M.-3:49 P.M.

=26 Minutes.

please help me! which ones are the right ones , pls and ty

Answers

Answer:

-5/6=-5/-6=- 5/6

- 7/2=-7/-2=-7/2

Step-by-step explanation:

Which of the following equations have no solutions?
Choose all answers that apply:
A 33x-33=33x+25
B 33x+33=33x+25
C 33x+25=33x+25
D 33x-25=33x+25

Answers

Answer:

Brainliest Please

A, B, D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a3 + 6a +9
12a3 - 6a2 + 23a + 18
O 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a^3+2a^2+23a+18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Solve the given system by substitution.
n=5m
n=2/3 m-13

Answers

Answer:

n = -15         and          m = -3

Step-by-step explanation:

To solve the given system of equation, we will follow the steps below:

n = 5m ----------------------------------------------------------------------------(1)

n = [tex]\frac{2}{3} m -13[/tex] ---------------------------------------------------------------------(2)

substitute for n= 5m in equation (2)

5m =  [tex]\frac{2}{3} m -13[/tex]

subtract [tex]\frac{2}{3} m[/tex] from both-side of the equation

5m -  [tex]\frac{2}{3} m[/tex]  = [tex]\frac{2}{3} m[/tex] -  [tex]\frac{2}{3} m -13[/tex]

At the right-hand side of the equation  [tex]\frac{2}{3} m[/tex]  will cancel-out leaving us with just -13

5m -  [tex]\frac{2}{3} m[/tex]  = -13

[tex]\frac{15m - 2m }{3}[/tex] = -13

[tex]\frac{13m}{3}[/tex] = -13

multiply both-side of the equation by 3

3 ×  [tex]\frac{13m}{3}[/tex] = -13 ×  3

At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m

13m = -39

Divide both-side of the equation by 13

13m/13  = -39/13

m = -3

substitute m = -3 in  equation (1)

n = 5m

n = 5 (-3)

n = -15

Therefore, n = -15         and          m = -3

Solve for g.
9 - g = 2g

Answers

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

PLEASE HELP!!

Find the value of x and identify the type of polynomial.

A. X = 60; regular pentagon
B. x = 60; regular quadrilateral
C. x= 100; pentagon
D. x= 100; quadrilateral
E. X=85; regular quadrilateral​

Answers

Answer:answer is 100; quadrilateral

Step-by-step explanation:

Here are the other 2 !!

Answers

Answer:

number five: 37.065 number six 241

Step-by-step explanation:

FOR NUMBER FIVE:

so for the rectangles, the formula is L * W.   L for length W for width

so 5×3 = 15. and there are 2 rectangles with the same measurment so its

15 + 15 which is 30 (for both rectangles)

and for the circle formula its pi r^2 where pi is 3.14 and r is radius

so 3.14 × 3^2 = 28.26. but since its a quarter of a circle, divide it by four which is 7.065.

so 30 + 7.065 = 37.065

FOR NUMBER SIX:

the area of a triangle formula is b * h ÷ 2 where b is base and h is height

so its 22 * 8 / 2 = 88

and for the trapezoid the formula is [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is height

so its[tex]\frac{12+22}{2} *9[/tex] = 153

88+153= 241

hope this helps!! (it took a looonnnggg time. haha!)

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest hundredth of a square centimeter

Answers

Answer:

The area of the sector should be 9.42[tex]cm^2[/tex] .

Step-by-step explanation:

-The formula for finding the area of a sector:

[tex]A = \frac{Arc}{360} \pi r^2[/tex]

-Next use the arc measure and the radius in order to solve and get the answer:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

-Solve:

[tex]A = \frac{120\textdegree}{360\textdegree}\pi 3^2[/tex]

[tex]A = \frac{120\textdegree}{360\textdegree}\pi \times3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 3^2[/tex]

[tex]A = \frac{1}{3} \pi \times 9[/tex]

[tex]A = 3\pi \approx 9.424[/tex]

-Round to the nearest hundredth:

[tex]A \approx 9.42[/tex]

Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. Let n represent the number of magazine subscriptions Andre sells this week.

Answers

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

Write an expression for the amount of money he makes this week.

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.  

Calculators cannot display repeating decimals. Calculators always round. Yuri's calculator displays decimals to 5 places. He uses his calculator to find the decimal equivalent for each of the fractions below. For each number, choose what his calculator will display as the decimal equivalent. Then choose whether or not this is the exact decimal equivalent.

1/9
Calculator display for 1/9:

Is this the exact decimal equivalent?

7/9
Calculator display for 7/9:

Is this the exact decimal equivalent?

9/10
Calculator display for 9/10:

Is this the exact decimal equivalent?

Answers

1/9 = 0.111111111..., No

7/9 = 0.777777...8, No

9/10 = 0.9, Yes

Dividing by a non-factor of 9 by 9 will always result in an infinite decimal, similar to dividing a non-factor of 3 by 3 or a non-factor of 7 by 7.

However, dividing a number by 10 will simply move the decimal one value to the right, so 9.0 divided by 10 is 0.90.

The diameter of a circle is 8 units.What is the radius of the circle? 2 points Your answer Submit

Answers

Hey !!

HERE'S YOUR ANSWER:

Diameter(d)=8 units

radius(r)=8/2=4 units.

So the right answer is 4 units.

Look at the attached picture

Hope it will help you.......

You should divide the diameter by 2 to get the radius. Since the diameter is 8 units here, the radius is 8/2 which is 4 units. So the answer is 4 units.

Jamie took 20 pieces of colored paper and put them in a hat. Eight pieces were red, two pieces were blue, and the rest were green. She pulls a piece of paper out of the hat. What are the chances that the paper is red?

Answers

Answer:

40%

Step-by-step explanation:

8/20=0.40

0.40*100=40

PLEASE HELP!!


What is the area??

Answers

Answer:

63 plus 14= 77 cm

Step-by-step explanation:

Answer:

63 square cm

Step-by-step explanation:

63+14=77. hope this helps

What is the volume of a cylinder with base radius 333 and height 888?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

V≈3.09×108

Step-by-step explanation:

Shape: Cylinder

Solved for volume

Radius: 333

Height: 888

Formula: Radius, Height

Exact answer: V≈3.09×108

Hope this helps.

The volume of the cylinder is = 98,469,432π

Calculation of volume of cylinder

The radius of the cylinder = 333

The height of the cylinder = 888

Therefore the volume is = ?

The formula for the volume of cylinder = πr²h

V = π× 333² × 888

V = π × 110,889× 888

V = 98,469,432π

Therefore, the volume of the cylinder is = 98,469,432π

Learn more about volume here:

https://brainly.com/question/25736513

#SPJ2

In a class of all girls, 22 of the 28 students have brown hair. What is the
probability of randomly picking a girl without brown hair?
Enter your answer in the box below as a fraction in reduced form, using the
slash mark ( 7 ) for the fraction bar.

Answers

Answer:

3/14

Step-by-step explanation:

28-22=6 (the rest of the girls)

6/28 = 3/14 (reduced form)

What’s the area of this triangle?

Answers

Area = 1/2 x base x height.

Base is 6 units long, height is 7 units long.

Area = 1/2 x 6 x 7 = 21 square units.

The answer is 21
Here’s my work:

Which of the following are equations
Choose 3 answers
A.60/5=4•3
B.74=2t
C.q-6 D.(r-3)•s=s2
E.9<(3v)(v+1)

Answers

Answer:

A, B, and C

Step-by-step explanation:

an equation has an equal sign (=).

Each card in a set of cards has one of the letters from the world mathematics. The cards are shuffled. What is the probability of drawing the letter m

Answers

Answer:

2/11

Step-by-step explanation:

mathematics = 11 letters

P(m) =  number of m's / total

         =2/11

Anyone know how to do this??

Answers

Answer:

its square roots

Step-by-step explanation:

you gotta take the "answer" so in this case its 3m with something to the power and the square root of 7, which is 2.6. Then you take 3m and add it to 2.6, which is 5.6m. Then you take 5.6 and take the to the 17th power and do that which is 5.2e+12. You simplify that and thats the answer. I'm pretty sure.

What is the median?
–8,977–8,975–8,973–8,972–8,977–8,974–8,973–8,975–8,977–8,972–8,978–8,977–8,979–8,976–8,978–8,976–8,975–8,972

Answers

8,972 is the correct answer to your question

Find the surface area of the prism. 5.7 4 3 4

Answers

Answer:

A=166

Step-by-step explanation:

Length: 5

Width: 7

Height: 4

Shape: Rectangle Prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Answer:A=166

Hope this helps.

Will mark as brainliest if correct

Answers

Answer:

X=0

Step-by-step explanation:

Anything raised to the power of 0 is 1.

(08.02)
The scores of several classmates on a math test are shown below:
91
points
77
points
90
points
79
points
81
points
85
points
86
points
76
points
75
points
80
points
What is the median score for these students? (4 points)

Answers

Answer:

the median is 80.5

Step-by-step explanation:

first we put them in order

75,76,77,79,80,81,85,86,90,91

the median is the middle number...however, in cases where there are an even number of numbers, ur gonna have 2 middle numbers....so u take the average of those 2 numbers...basically, u add them and divide by 2.

So we have 2 numbers in the middle.....we add them and divide by 2 to get the median.

(80 + 81) / 2 = 161/2 = 80.5 <== the median

Answer:

80.5

Step-by-step explanation:

Becca sells bracelets for $9 each. She has to pay $4.35 for the materials for each bracelet. How much money does she make from each bracelet after she pays herself back for the materials? How much money does becca make from the sale of 15 bracelets?

i am marking brainiest

Answers

Answer:

$4.65$69.75

Step-by-step explanation:

How much money she makes from each bracelet:

9-4.35=$4.65

How much money she makes from the 15 bracelets:

4.65 x 15= $69.75

Answer:

Part 1: 4.65

Part 2: 69.75

Step-by-step explanation:

The first question is "How much money does she make from each bracelet after she pays herself back for the materials?"

To answer that, we must find how much she is selling them for ($9) and subtract the cost of the materials from it ($4.35), which equals 4.65

The second question is How much money does becca make from the sale of 15 bracelets?

In other words, they are only asking for the profit made which means they don't want the materials used cost included. So we can use the answer from before and multiply by 15, so 4.65*15=69.75.

Hope that makes it clear, and good luck with studies :)

Ok, so i have 506k and I now have 327k. What is the rate of decrease in percent? I'll mark Brainliest!!!​

Answers

Answer:

= 35.3755% decrease

Attached below in the image. There is a 35% decrease.

Write 19\15 as a mixed number

Answers

Answer:

1 4/15

Step-by-step explanation:

Answer:

1 2/6

Step-by-step explanation:

Haiiiiii!!!!! My job is to make people HAPPY! So thats exactly what Im gonna do! Whoever writes something nice gets REWARDED :) First comment: Gets Brainliest, a ¨Thanks¨ a Five Star Rate, a special comment and I might even add you as a friend! Second comment: A ¨Thanks¨ a Five Star Rate, and a special comment! Third comment: Five Star Rate, and a special comment! For yall that joined in late, keep up with me next time, and maybe YOU will win! (NO THIS ISNT A SCAM)

Answers

Answer:

You are Amazing and Beautiful. I hope you have the greatest day and be happy and safe always! I don't have much to say but I hope you have an amazing year ahead and be successful always :)

Answer:

I hope everyone is safe during this quarantine. It is times like these where we are better together. We (my family and I) are praying for all those who have been affected or knows someone who has beed affected. Hope everyone is safe and healthy. And thanks to you, I am able to say something nice to those who need to hear it!

Step-by-step explanation:

PLEASE HELP!! This is due today!! - The polynomial function shown has x-intercepts at x= -2, x=0 and x=1. Identify a possible equation of this function. Giving 15-20 points!!! Pls show work and have a reasonable answer! Thank you :))

Answers

Answer:

f(x)=-x(x+2)(x-1)

Step-by-step explanation:

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