A scientist is studying a colony of bacteria. Initially, the colony consists of 126 bacteria. The following function represents the number of bacteria in the colony after h hours, where r is the rate of growth.

Answer:

20 gallons for 2 hours

Step-by-step explanation:

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

Answer:

$562.43

Step-by-step explanation:

V(3) = [tex]500 ( 1 + \frac{0.04}{1} )^{3} \\500 (1.04)^{3}[/tex]

     = 562.43

The interest is $562.4 compounded annually.

Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.

P = $500

r = 4%

t = 3 years

CI = P( 1+ r/100)ⁿ

CI = 500 ( 1+ 4/100)³

CI = 500 ( 1+ 0.04)³

CI = 500 ( 1.04)³

CI = 500 ( 1.1248)

CI = 562.4

Hence, the interest is $562.4 compounded annually.

Learn more about Compound interest here:

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Answer:

The value also increases

Step-by-step explanation:

The expression also increases like when you add one, it becomes c + 3

Answer:

6

-9

Step-by-step explanation:

-3(-2) + 0(-1)

4(-2) + 1(-1)

6 + 0

-8 + -1

6

-9

*don't forget to add brackets on each side of every calculation okay :)

Answer:

The coefficient is 6

Step-by-step explanation:

The coefficient is the number before the variable

In this case, the variable, or the unknown value, is x.

The number before x is it's co-efficient.

6x

The number before the x is 6

Hope this helps :)

Answer:

6 is the coefficient

Step-by-step explanation:

Coefficient: multiples the variable to some power.

 like for example

3x^2

3 is the coefficient

or

Ax^n

A is the coefficient

Answer:

4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The " +1 " in |x + 1| corresponds with a translation of the graph of the parent function to the left.

The " +1 " at the end corresponds to a translation of the graph of the parent function 1 unit upward.

Answer:

its c

Step-by-step explanation:

15/3 equals 5 plus 7 would be 12 so thats wrong

30/3 equals 10 plus 7 would be 17 so thats wrong

18/3 equals 6 plus 7 would be 13 so that right ergo the answer is c

Answer:

Step-by-step explanation:

Here we have the length of the hypotenuse (16) and that of the vertical leg (11).  The cosine function inputs this data:

            adjacent side                11

sin x = -----------------------  =  ----------------  =  0.6875

              hypotenuse                 16

We find x using the arccos function:  arccos 0.6875 = 0.81 radians or

                                                                                          46.57 degrees

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is [tex]\frac{8}{5}[/tex] times your yard, so your friend should purchase [tex]\frac{8}{5}[/tex] times the 319 feet.

[tex]\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}[/tex]

[tex]\text{Length of fence your friend should purchase}=510.4\text{ ft}[/tex]

Upon rounding our answer to nearest foot, we will get:

[tex]\text{Length of fence your friend should purchase}\approx 510\text{ ft}[/tex]

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

Answer:

The answer is attached to the picture

Answer:

-4

7 ÷ ( (-3) + 4) x (-10) - (-8) + 10

     7÷1×(-10)-(-8)+10

        7÷1×-2+10

         7×-2+10

         -14+10= -4

Answer:

53 yds

Step-by-step explanation:

Volume= base*height

V= 10*3.5

V= 35

Answer:

3,141.59

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of a square based pyramid = [tex]\frac{1}{3}a^{2}h[/tex] where;

a² is the base area of the pyramid since it is square shaped

h is the slant height.

Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;

[tex]384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m[/tex]

The slant height of the pyramid is 8m

Answer:

hahjskxncncjcickmcbfjd

Answer:

V=whl

Step-by-step explanation:

goole hope this helps

Answer:

C) 432 mm^3

Step-by-step explanation:

length*width*height= Volume

8*6*9= 432

Answer:   6:15___{2:5}

The reduce it by dividing by 3.

6/3 =2.

15/3 =5.

= {2:5}

Answer:

y=20

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

A circle is 360 degrees

It is divided into 12 parts

So...

360 divided by 12

equals

30!

Answer: I think its 30 not 100 percent sure

Answer:

1/9

Step-by-step explanation:

[tex]3^{-2}[/tex] =1/3²=1/9

Answer:

D

Step-by-step explanation:

Answer:

A-square

Step-by-step explanation:

example:

sa=(4cm)^2x6

sa=16x6

sa=96

Answer:

1) 30 units³

2) 18 units³

Step-by-step explanation:

1) The formula for volume is v = height x length x width

The height of the first object is 2, the length is 5, and the width is 3.  2 x 5 x 3 is 30, so the volume is 30 units ³.

2) Use the same formula, v = h x l x w

The height is 3, the length is 3, and the width is 2.

3 x 3 x 2 = 18

So the volume is 18 units³.

Note: Find each of the values by counting the number of squares

Answer:

3,4

Step-by-step explanation:

I got it right

Answer:

3,4

Step-by-step explanation:

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²

So the right answer is 18.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Surface Area = 2×(5×5 + 5×10 + 5×10) = 250 feet^2

Step-by-step explanation:

Answer:

15 sqrt(2) =c

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

The legs are 15 and the hypotenuse is the diagonal

15^2 + 15^2 = c^2

2 * 15^2 = c^2

Take the square root of each side

sqrt(2 * 15^2 )=sqrt( c^2)

sqrt(2) sqrt(15^2) = c

15 sqrt(2) =c

Answer: 15[tex]\sqrt{2}[/tex] (b)

Step-by-step explanation:

You can separate a square into two different 45-45-90 degree triangles.

Where x = 15, and the diagonal would be the hypotenuse.

So, here you can use the Pythagorean Theorem to find the hypotenuse to use 45-45-90 triangle theorem where they hypotenuse is always x times [tex]\sqrt{2}[/tex]

So, the diagonal would be 15[tex]\sqrt{2}[/tex]

Answer:

Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.

Step-by-step explanation:

Red Medium: 21/58 ( 36.21%)

Navy Medium: 22/66 (33.33%

Tan Medium: 25/66 (37.88%)

Since it's asking for the probability that the next coat is a medium, no matter the color, we add in all numbers and divide it by the added medium from all three colors.

Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.