Mathematics High School

The bacteria in a culture double every day. Which function can be used to find the number of bacteria n after d days if there are initially 75 bacteria?
On=2(75)
O n = 75(g)
On = 75(2)
On= (75)"

The Bacteria In A Culture Double Every Day. Which Function Can Be Used To Find The Number Of Bacteria

Answers

Answer 1

Answer:

n = 75(2)^d

Step-by-step explanation:

Mathematically, we have the general form of an exponential equation as follows;

y = I(1 + r)^x

where I is the initial value

r is the rate percentage

x is the number of time

From the question, the bacteria population doubles

This mean it increases by 100%

100% = 1

add this to the initial 1, and we have 2

Replace I with the number 75

And d represents the days

so we have;

n = 75(2)^d

Related Questions

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Please write the function(x) from the given rules:a. Twice the input value plus three. B. The input value minus five. C. To get the output, multiply the input by two, then add four.

Answers

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

              A) Twice the input value plus three.

              B) The input value minus five.

              C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

A)

f(x) = 2x + 3

B)

f(x) = x - 5

C)

f(x) = 2x + 4

d = rt ; Solve for t

Answers

Answer:

T stands for time

Step-by-step explanation:

Answer:

[tex]t = \frac{d}{r}[/tex]

Step-by-step explanation:

[tex]d = rt\\\frac{d}{r} = \frac{rt}{r} \\\frac{d}{r} = t\\[/tex]

The product of two numbers is negative. What conclusion can you draw about the sign of the quotient of the same numbers? *​

Answers

According to the law of signs for division, the quotient of 2 numbers of different sign is negative

Answer:

The quotient is negative.

Step-by-step explanation:

The rules of signs for multiplication and division of two numbers are the same.

If you multiply or divide two numbers with the same sign (both positive or both negative), the answer is positive.

If you multiply or divide two numbers with different signs (one positive and one negative), then the answer is negative.

Since the product is negative, then the quotient is also negative.

Answer: The quotient is negative.

It is trigonometry. Please find the dimensions of the box. Thanks.

Answers

Answer:

Step-by-step explanation:

Simply the radical 125

Answers

Answer:

The answer is 5 √5

Step-by-step explanation:

Answer:

5 √5

Step-by-step explanation:

This is the simplified radical form of the square root 125(hope this is what you asked for)

What number would represent 2,345 feet above sea level?

Answers

Answer:

+ 2,345

Step-by-step explanation:

Above means positive, so the number would be positive.

Find the area of the shape shown below 5 3.5 2 2 2 2

Answers

Answer:

3.3

Step-by-step explanation:

2,33


[tex] x - 25 = 0[/tex]
​

Answers

The answer is 25

25-25=0
the answer is x = 25

Which expressions are equivalent to 2x + 5x − 9x?
A. 7x + 9x and 16x
B. 7x − 9x and 2x
C. 7x − 9x and −2x
D. 2x + 4x and 6x

Answers

Answer:

C. 7x-9x and -2x

Step-by-step explanation:

Combine like terms and simplify

2x+5x-9x

7x-9x

-2x

Find the value of x picture attached

Answers

Answer:

x = 10

Step-by-step explanation:

These angles are same side interior angles.

This means that (11x + 10) + (10x - 40) = 180

Solve for x:

11x + 10 + 10x - 40 = 180

21x - 30 = 180

      +30     +30

21x = 210

/21      /21

x = 10

for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

  an = a1 +d(n -1)

  an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

  129 = 4n +1 . . . . . put the given value in the formula

  128 = 4n  . . . . . . . subtract 1

  32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

If a circle has a diameter of 8cm, what is the radius of this circle?

Answers

Answer:

r=4cm

d Diameter

cm

d

r

r

r

d

d

C

A

Unit Conversion:

d=8cm

Using the formula

d=2r

Solving forr

r=d

2=8

2=4cm

Step-by-step explanation:

In the triangle MSA, MS = 17 and MA = 8. What is the value of angle S, to the nearest degree?

Answers

Answer:

B. 28 degrees

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

13.C

14.C

Step-by-step explanation:

Hello There!

For 13

The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.

The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied

Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test

Thus the answer is C

For 14

The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially

The question is asking "which graph best represents a proportional relationship."

If a relation is proportional it would have  a straight line and it would go through the origin (0,0)

Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer

can someone please help me out?

Answers

Answer:

=3 6/12 < 1 8/12

Step-by-step explanation:

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

What are the equation and slope for the graph and it's corresponding table below?

Answers

Answer:

x=2

Step-by-step explanation:

Answer

x=2

Step-by-step explanation:

Find the measurement of angle 3 when angle 2 equals 15x and angle 8 equals 5x​

Answers

Answer:

change the date of 4images and the giant is the quiz on my essay

Step-by-step explanation:

you wanna play 3rd party or something else do it was 4th day

y = 2x
x = -y + 6

help meee !

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6,   y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

77777777777777777777777777777

Find the missing side of this right triangle.

Answers

It’s 8sqrt3 . You can use the Pythagorean theorem- A squared plus B squared equals C squared. You can plug them and getting eight squared plus B squared equals 16 squared. Eight squared is 64 and 16 squared is 256. Subtract 64 from 256 and that leaves you with eight square root of three

In the first quadrant, you start at (3,5)
and move 3 units right and 2 units down
What point will you end up on?

Answers

Answer:

(6,3)

Step-by-step explanation:

3 right is an + to the left side or x of the pairs and the 2 down is a - 2 to the right side or y of the pair

Answer:

Check pdf

Step-by-step explanation:

Needed help! Answer when possible.

Answers

Answer:

The word "solution" means an action or process of solving a problem

99 is a solution to 1/9x = 11 because  multiplying both side of the equation by 9 makes x = 99

-5x+9=24
WILL GIVE BRAINLIEST

Answers

Answer:

x = -3

Step-by-step explanation:

24-9= 15

15/-5=-3

Answer:

-3.

Step-by-step explanation:

-5 x -3 = 15

15 + 9 = 24

Hope I helped, Have a good day!

Circumference = ×What is another way to write this?

Answers

Answer:

2 × pi × radius

..................


[tex] \sqrt{ {4 a}^{2} + {12a}^{2} } [/tex]
​

Answers

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

[tex] \sqrt{ {16a}^{2} } [/tex]

2) Use this rule:

[tex] \sqrt{ab} = \sqrt{a} \sqrt{b} [/tex]

[tex] \sqrt{16} \sqrt{ {a}^{2} } [/tex]

3) Since 4 × 4 is 16, the square root of 16 is 4.

[tex]4 \sqrt{ {a}^{2} } [/tex]

4) Simplify.

[tex]4a[/tex]

Therefor, the answer is 4a.

A cell phone company offers it's customers a monthly plan that cost $55 per month plus $0.08 for each minutes used. If regina used 225 minutes in a month, how much will she pay for one math

Answers

Answer:

$59.40

Step-by-step explanation:

0.08 x 55 = 4.40

55 + 4.40 = 59.40

59.40 is the answer to this!

Help me with this!!!!

Answers

Answer:

IJ = 34

Step-by-step explanation:

Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then

IJ = HI , that is

2s = s + 17 ( subtract s from both sides )

s = 17

Then

IJ = 2s = 2 × 17 = 34

IJ=34 hope is helps have a nice day

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.​

Answers

a is 23.4 and b should be k point at 26

2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?

Answers

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

Next Question I only have 40 minutes to complete the rest of these. Help Asap Please. Again I will award 100pts and Brainly to whoever can get me the slope intercept form to these two cordinate points. This is timed. And I risk failing the class if I don't get these questions answered. Plz help.

Answers

Answer:

y=-2x+1

Step-by-step explanation:

First, you calculate the slope, which is rise over run: -9+5 / 5-3 = -2.  Then, find b by substituting the coordinates (of either one point) into the slope-intercept formula, y = mx + b.  

Answer:

Step-by-step explanation:

The slope intercept form of a line is

y=mx+b, where m=slope and b= y intercept

The slope of a line is defined as

m=(y2-y1)/(x2-x1), in this case we have points (3,-5) and (5,-9)

m=(-9-(-5))/(5-3)

m=-4/2

m=-2, so our line is now

y=-2x+b, using point (3,-5) we can now solve for b

-5=-2(3)+b

-5=-6+b

1=b so the completed line is

y=-2x+1

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