Each bacterium in a petri dish splits into 2 bacteria after one day. The function b(d) = 600 • 24 models

the number of bacteria, b, in the petri dish after d days.

Part A)

What is the initial number of bacteria in the petri dish?

Part B)

How many bacteria will be in the petri dish after 5 days?

Answer:

D. 21 ft

Step-by-step explanation:

We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.

Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:

ab = cd

x * 6 = 7 * 18

6x = 126

x = 21

Thus, x is 21 ft.

Hope this helps!

Answer:

Last one: 21 ft

Step-by-step explanation:

x × 6 = 7 × 18

x = (7 × 18)/6

x = 21 ft

Answer:

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

Step-by-step explanation:

Given

y = ax² + b ( subtract b from both sides )

y - b = ax² ( divide both sides by a )

[tex]\frac{y-b}{a}[/tex] = x² ( take the square root of both sides ), thus

x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]

Answer:

yes, that is very correct

Step-by-step explanation:

yes

Answer:

5mm + 14mm+3mm add together area 22 for the triange

Step-by-step explanation:

Answer:32

Step-by-step explanation:just divided both sides by 12 that will be 348:960=32:80

Answer:32

Step-by-step explanation:

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

Answer:

C) I and II

There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"

Answer:

its c

Step-by-step explanation:

i got it right on usatestprep

Answer:

I dont think so because a right triangle should have a 90 degree

Answer:

Compound interest because you earn more over time

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Median is the middle number when they are lined up from smallest to largest

13,13,13,17,21,28,29,31,

There are 8 numbers

13,13,13,17,      |      21,28,29,31,

The middle is here

Add up the two numbers on either side and divide by 2

(17+21) /2

19

Answer:

19 footballs

Step-by-step explanation:

First sort the data

13 13 13 17 21 28 29 31

Median is: (17+21)/2

38/2 = 19

Answer:

2/3 = 8/12

Step-by-step explanation:

Answer:

6/9

Step-by-step explanation:

the answer is 6/9 :)

Answer:

i think her inference i invalid

Step-by-step explanation:

i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

here, we have,

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

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complete question:

Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

If Quadrilateral BEAR is inscribed in circle o,then the measure of R is 106 degrees.

A quadrilateral is a four-sided polygon, having four edges and four corners.

The sum of angles of a quadrilateral is 360 degrees.

Angle E is 74 degrees.

Angle A is 92 degrees.

We need to find the angle R.

The angle at B is 90 degrees as it makes right angled.

∠E+∠A+∠R+∠B=360

74+92+∠R+90=360

256+∠R=360

Subtract 256 on both the sides

∠R=360-256

∠R=106 degrees.

Hence, the measure of R is 106 degrees.

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Answer:

3/4

Step-by-step explanation:

Answer:

Your answer would be 75%, or 3/4

Step-by-step explanation:

Answer:

slope -1/2  

y intercept -1

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    =(0--1)/(-2-0)

     = (0+1) /(-2-0)

     =1/-2

  = -1/2

The y intercept is when x = 0

(0,-1) is when x =0 so the y intercept is -1

Answer:

-½; -1

Step-by-step explanation:

(0 - -1)/(-2 - 0)

1/-2

= -½

y intercept is where x = 0,

So it is -1

Answer:

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

Step-by-step explanation:

[tex]5\sqrt{50} - 3\sqrt{200} + 3\sqrt{18}[/tex] =

= [tex]25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2}[/tex] = [tex]4\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

While the h portion of that absolute value represents the side to side movement, the k represents the up and down.  The pointy part of the graph (the vertex) is lowered from its position at y = 0 to y = -2.5

So k = -2.5

The correct value of k is k = -2.5. Hence, option a is correct.

To find the value of k for the function f(x) = |x - h| + k, you can use one of the given points, as all points lie on the graph of the function.

Let's use the point (1, -2.5) with coordinates (x, y).

Plug these coordinates into the function:

-2.5 = |1 - h| + k

Now, you need to find k:

-2.5 = |1 - h| + k

To isolate k, you can solve for k:

k = -2.5 - |1 - h|

Now, let's check which option fits this equation based on the given points:

For h = 1 (as in the point (1, -2.5)), you get:

k = -2.5 - |1 - 1| = -2.5 - 0 = -2.5

So, the correct value of k is k = -2.5.

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Based on the data represented in the box plots, the football player that had greater success during the 10 games is C. Nasir was more successful because he had the greater measure of center.

It should be noted that a box plot simply means a method for graphically demonstrating the spread of a data.

In this case, based on the data represented in the box plots, the football player that had greater success during the 10 games is that Nasir was more successful because he had the greater measure of center.

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Answer:

$64.80

Step-by-step explanation:

First, calculate the sales tax

Convert 8% into a decimal

8/100=0.08

Multiply the decimal by the cost of the game

60*0.08=4.8

$4.80 is just the tax, we have to find the total cost

Add the tax and the cost of the game

60+4.80=64.80

So, the total cost is $64.80

Hope this helps! :)

Answer:

There are an infinite number of expressions equivalent ot 8x+16, but a few are:

2(4x+8)

4(2x+4)

8(x+2)

Answer:

2(4x+8)

4(2x+4)

8(x+2)

Step-by-step explanation:

Answer: D

Step-by-step explanation: To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.

Dividing the number of sides by the area of one of the composite figure's sides. and adding the areas of all the forms or faces that comprise the composite figure helps to find the area of a two-dimensional composite figure. Options A and B are correct.

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The area of a two-dimensional composite figure or the surface area of a three-dimensional composite figure may be calculated by;

Dividing the number of sides by the area of one of the composite figure's sides. and add the areas of all the forms or faces that comprise the composite figure.

Hence, options A and B are correct.

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Answer:

-30

Step-by-step explanation:

I am assuming that x here is a multiplication sign. If so than the simplification is easy:

Answer:

The answer is C. $510.

I have just took the test.

Option C is correct, Each person receives an amount of $510.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To calculate the bonus, we need to find the four middle monthly sales values.

Arranging the sales values in ascending order, we get:

17.1, 18.4, 18.9, 21.6, 26.1, 29.2

The four middle values are: 18.4, 18.9, 21.6, and 26.1.

Average= (18.4 + 18.9 + 21.6 + 26.1) / 4 = 21.25

Taking 12% of this value gives:

0.12 x 21.25 = 2.55

The bonus amount to be split among the five salespeople is $2.55. Therefore, each salesperson will receive:

2.55 / 5 = 0.51

Therefore, each salesperson will receive $1 as a bonus.

Hence, Option C is correct, Each person receives an amount of $510.

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Answer:

C is the answer

Step-by-step explanation:

Please mark brainliest

Answer:

152 days

Step-by-step explanation:

Given:

w(t) = 15 cos ((2π / 365)t) + 43

To find first time after the hottest day of the year that the water levels is 30 cm, substitute with w(t) = 30 and solve for t

30 = 15 cos ((2π / 365)t) + 43

30 - 43 = 15 cos ((2π / 365)t)

15 cos ((2π / 365)t) = -13

cos ((2π / 365)t) = -13/15

(2π / 365)t = cos⁻¹ (-13/15) = 150.07° ≈ (5/6) π

t = (365/2) * (5/6) ≈ 152 days

So, the first time after the hottest day of the year that the water levels is 30 cm is after 152 days

The water level reaches 30 cm approximately 125.3 days after the hottest day of the year. This was calculated by setting the given equation equal to 30 cm, isolating the variable, and using inverse cosine to solve in terms of radians.

The given equation represents a cosine function, w(t) = 15cos(2π / 365)t + 43, which models the water level in a pond. Here, 15 is the amplitude, and 43 is the vertical shift, indicating the average water level is 43 cm. To find the first time after the hottest day of the year that the water level is 30 cm we first set w(t) equal to 30 and solve this for t:

30 = 15cos((2π / 365)t) + 43,

Subtract 43 from both sides to get:

-13 = 15cos((2π / 365)t),

Next, divide both sides by 15 to get:

-13/15 = cos((2π / 365)t),

Now, use the inverse cosine function, or arccos, to solve for the argument (2π / 365)t, which is in radians:

(2π / 365)t = arccos(-13/15).

Thus, t = (365 / 2π) * arccos(-13/15). This equation can be solved using a calculator that provides results in radians. The solution is approximately 125.3 days after the hottest day of the year.

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Answer:

150cm³

Step-by-step explanation:

volume =1/2b×bh×h

volume=25×6

=150

hope this helps

please like and Mark as brainliest

Final answer:

The volume of the triangular prism is found by multiplying the area of the base (25 sq cm) by the height (6 cm), which results in a volume of 150 cubic centimeters.

Explanation:

The question asks for the calculation of the volume of a triangular prism. The formula to find the volume (V) of a triangular prism is V = base area × height. The base area of the prism is given as 25 sq cm, and the height is 6 cm. Therefore, the volume of the triangular prism is calculated as follows:

V = base area × height

V = 25 cm² × 6 cm

V = 150 cm³

Thus, the volume of the triangular prism is 150 cubic centimeters.

Answer:

short allele is recessive, tall allele is dominant

Answer:

Step-by-step explanation:

Answer: A - 2/3

Step-by-step explanation:

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S          W    

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