A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
(a) Find a formula for the number of bacteria at time t.


(b) Find the number of bacteria after one hour.


(c) After how many minutes will there be 50,000 bacteria?

Answer:

48 in

Step-by-step explanation:

I multiplied 16 by 3 since 6 is representing the whole 1 side of the rectangle but your trying to find half of the rectangle and that side so 6 in the equation becomes 3

Answer:

48 inches

Step-by-step explanation:

multiply 16 by 3 so 6 becomes 3

Answer: B

Step-by-step explanation:

I guessed and I got it right

The required mean absolute deviation is 2.1 times the difference between the means of the data sets.

The mean of the values is the ratio of the total sum of values to the number of values.

To find the means of the two data sets, we need to convert the double stem-and-leaf plots into regular frequency distributions.

To calculate the mean of this data set, we can use the formula:

Mean of Giavano's = (sum of values) / (number of values)
Mean = [31+32+33+36+42+44+46+52+63+68+]/10
Mean= 44.7

Mean of brick oven = (sum of values) / (number of values)
Mean = 38+57+58*2+66+69+74+77+78+79 / 10 = 65.5

Difference of the mean = 65.5-44.7
MAD = 10

According to the question, a ratio of the difference of mean to MAD,
= 65.5 - 44.7 / 10 = 2.1

Thus, the required mean absolute deviation is 2.1 times the difference between the means of the data sets.

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Answer:

Acute

Step-by-step explanation:

The peak of the house forms acute angled triangle.

Answer: 3/27

Step-by-step explanation:

Multiply both numbers by 3 so that the denominator is 27

The required fraction is 3/27 is 1/9 with a denominator of 27.

Here, we have,

given that,

we have to Rewrite 1/9 with a denominator of 27

so, we get,

the fraction is 1/9

now, we need a denominator of 27

let, x must be multiplied to make the denominator of 27

i.e. 9*x = 27

or, x = 3

so, we get,

Multiply both numbers by 3 so that the denominator is 27.

i.e. 1/9 = 3/27

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Answer:

the radius is 24

Step-by-step explanation:

Answer:

[tex]2\pi \: r = 48 \\ \frac{2\pi \: r}{2} = \frac{48}{2} \\ \pi \: r = 24 \\ r \: \: = \frac{24}{\pi} \\ r = 7.639in[/tex]

Answer:

This is not an equation, so m's value cannot be determined.

Step-by-step explanation:

Answer: (A)

Step-by-step explanation: A shows all of the right ones. It only shows the letter b because the one is “invisible.”

The answer is -1 or d, because -1 1/2 and 3/2 are equal, except for the fact that -1 1/2 is negative.

Answer:

86%

Step-by-step explanation:

1) divide 2750 by 3201 to get a part/whole ratio for a percent

2) divide and get 85.91%

Answer:

x = 85.9%

Step-by-step explanation:

Step 1:  Make an equation

[tex]3201 * x = 2750[/tex]

[tex]3201x = 2750[/tex]

Step 2:  Divide both sides by 3201

[tex]3201x / 3201 = 2750 / 3201[/tex]

[tex]x = 0.859...[/tex]

Step 3:  Convert to percentage

[tex]x = 0.859... * 100[/tex]

x = 85.9%

Answer: x = 85.9%

Answer:

0.007

Step-by-step explanation:

( 0.006)  6 is the first significant number.

The number next to it is seven.  (0.0067) in which 7 is greater than 5.

therefore, add 1 .

the final answer is 0.007

0.006772 rounded to 1 significant figure is 0.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given,  0.006772  and we'll round this to 1 significant figure means only one digit it will have after the decimal place.

So,  0.006772

= 0.006770

= 0.00677

= 0.00680

= 0.00700

= 0.007

= 0.010

= 0.01

= 0.00

= 0.

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Answer:

70

Step-by-step explanation:

There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)

So you have:

8*7*6*5 = 1680

However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)

So we divide 1680 by 4! (4*3*2*1) to end up with 70.

You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.

Answer:

78.04 square cm

Step-by-step explanation:

Area of shaded region = area of circle - Area of rectangle

[tex] = \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2} [/tex]

Answer:

78.04 cm^2

Step-by-step explanation:

Hope this helps!

Answer:

20260

Step-by-step explanation:

The area of the side lengths is base (75) * slant height (97.5) * 1/2 *4 = 14635

The area of the base is 75^2 = 5625

Add them together ot get 20260

Answer:

2.5e^-0.04x = 1.2 + 0.2x

Step-by-step explanation:

Answer:

x=-2/7,y=8/7

Step-by-step explanation:

Simultaneous equation

y=3x+2....(1)

2x-3y=8...(2)

Substitute (1) into (2)

2x-3(3x+2)=8

2x-9x-6=8

Collect like terms

-7x=8-6

-7x=2

Divide both sides by-7

X=-2/7

Substitute the value for x into (1)

y=3(-2/7)+2

y=-6/7+2

Lcm be 7

y=-6+14/7

y=8/7

Therefore x=-2/7,y=8/7

Answer:

(-2,1)

Step-by-step explanation:

add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)

Answer:

55.23

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

C. 33π in^2

Here is why:

The formula for the surface area of a cone is:

[tex]SA=\pi r^2+\pi rl[/tex]

We can plug in the numbers from the picture, but we will keep π and not put it as 3.14, since the answer choices are in π.

[tex]SA=(\pi *3*3)+(\pi *3*8)[/tex]

[tex]SA=9\pi +24\pi[/tex]

SA = 33π

Answer is:

33π in^2

Answer:

you could have asked nicely

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

183-37=146

Answer: 146beads

Step-by-step explanation:

Eva has 183beads

She used 37beads

How many left

To get that, you will deduct the used from the exact value

=183-37

=146beads

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)²  + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

Answer:

answer : C    2(x-3)²-17

Step-by-step explanation:

hello :

answer : C    2(x-3)²-17

calculate :   2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

                  2(x-3)²-17 = 2x²-12x+1.....(right)

Answer:

10

Step-by-step explanation:

Answer:

d. 9.96

Step-by-step explanation:

Trust me, I kept googling this for almost an hour.

The Average of the Dinner is 20.66.

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

The data for dinner is:

18.8, 22.13, 20.79, 24.82, 16.74

The Average of the Dinner is

= ( sum of all data for dinner)/ Total Number of Dinner

As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)

                                                =103.28

and, Total Number of Dinner = 5

Now put the values we get

= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5

= 103.28/ 5

= 20.656

= 20.66

Thus, the average of the dinner is 20.66

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Answer:

1.  Distribute the 3

Step-by-step explanation:

3(6+x)=24

You can do one of two things

1.  Distribute the 3

3*6+3x=24

Or

you can divide each side by 3

The only reason it is a good choice to divide each side by 3 is that 24 is divisible by 3

3(6+x)/3=24/3

6+x = 8

Either answer is an acceptable 1st step

Answer:

116 degrees

Step-by-step explanation:

Supplementary Angles=180 degrees

64+x=180

180-64=116

116=116

Answer:

9. 149 degrees

10. 2 units

Step-by-step explanation:

9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.

Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.

All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180

Solve for x: x = 180 - 17 - 14 = 149 degrees

10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.

Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.

Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.

Now we can set these two ratios equal and solve for x:

16/x = 8/1

8x = 16

x = 2 units

Answer:

9. 149°

10. 2

Step-by-step explanation:

Congruent figures have the same angles and lengths

x = 180 - 17 - 14

x = 149°

Similar figures have sides in the same ratio

1/8 = x/16

x = 16/8

x = 2

Answer:

1) The height of the prism is 8 units.

2) The area of its base is 27 square cm.

Step-by-step explanation:

The formula of a rectangular prism is

[tex]\text{Volume}=\text{Area of base}\times \text{Height}[/tex]

1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic  units.

To find : What is the height of the prism?

Solution :

Volume = 1800 cubic  units

Area of base = 225 units square

Substitute the value,

[tex]1800=225\times \text{Height}[/tex]

[tex]\text{Height}=\frac{1800}{225}[/tex]

[tex]\text{Height}=8[/tex]

The height of the prism is 8 units.

2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.

To find : What is the area of its base?

Solution :

Volume = 216 cubic  cm

Height = 8 cm

Substitute the value,

[tex]216=\text{Area of base}\times 8[/tex]

[tex]\text{Area of base}=\frac{216}{8}[/tex]

[tex]\text{Area of base}=27[/tex]

The area of its base is 27 square cm.

Answer:

-2.7

Step-by-step explanation:

i did it.