The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?

The value of x in the diagram is 110.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

DE is parallel to XY.

This means,

110 and x are corresponding angles.

Now,

The corresponding angles are equal.

So,

x = 110

Thus,

The value of x in the diagram is 110.

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Answer:B

Step-by-step explanation:

E202 just did :)

Answer:

b

Step-by-step explanation:

edg 2020

Answer:

The mean is 36

Step-by-step explanation:

The mean of these numbers is 36.

Answer:

5/3

Step-by-step explanation:

To find the slope we pick one set of points

2/3,-1/2

Set your equation up like this

y2-y1/x2-x1

Plug in and subtract(notice the negative)

And we get 5/3

Hope this helps

Answer:

The  position at time t  is  [tex]s(t) = 8t^2 - 14t -8[/tex]

Step-by-step explanation:

From the question we are told that

   The acceleration is  [tex]a = 16[/tex]

   The velocity at t = 0  is  [tex]v(0) = -14[/tex]

    The  position at time t =  0  is [tex]s(0) = -8[/tex]

Generally acceleration is mathematically represented as

     [tex]a(t) = \frac{d v}{dt }[/tex]

=>   [tex]\frac{dv}{dt} = 16[/tex]

=>   [tex]dv = 16 dt[/tex]

integrating both sides we have    

     [tex]\int\limits dv = \int\limits16 dt[/tex]

=>  [tex]v(t) = 16 t + c[/tex]

Now at t = 0  

     [tex]v(0) = 16 * 0 +c = -14[/tex]

=>  [tex]c = -14[/tex]

So

   [tex]v(t) = 16 t -14[/tex]

Generally the position of the body is mathematically represented as

     [tex]s(t) = \int\limits v(t)dt[/tex]

So

    [tex]s(t) = \int\limits 16t - 14 dt[/tex]

So  

    [tex]s(t) = 16 \frac{t^2}{2} - 14t + C[/tex]

Now  at t =  0

     [tex]s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8[/tex]

=>    [tex]C = -8[/tex]

So

   [tex]s(t) = 8t^2 - 14t -8[/tex]

Rate of change of velocity with respect to time is known as acceleration.

Rate of change of displacement with respect to time is known as velocity.

Body position at time t is given by,   [tex]s(t)=8t^{2}-14t-8[/tex]

Data given are, a=16, v(0) = -14, s(0) = -8

Since,  [tex]\frac{dv}{dt}=a\\\\\frac{dv}{dt}=16\\\\dv=16dt[/tex]

Integrating both side

 We get,    [tex]v=16t + C[/tex]

Substituting v(0)=-14 in above equation

We get,   C = -14

  So,   [tex]v=16t-14[/tex]

Since, Rate of change of displacement with respect to time is known as velocity.

        [tex]v=\frac{ds}{dt}\\\\ds=vdt\\\\ds=(16t-14)dt[/tex]

Taking integration on both side

We get,   [tex]s=16\frac{t^{2} }{2}-14t+c[/tex]

Substituting s(0)= - 8 in above equation

We get,   [tex]c=-8[/tex]

So,  [tex]s=16\frac{t^{2} }{2}-14t-8\\\\s(t)=8t^{2} -14t-8\\[/tex]

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Answer:

a - about 3 packs cause you have to round up

b - $50.76

Step-by-step explanation:

First you divide 42 and 18.

42/18=2.33

You have to round up cause you can't have half of a pack, you can't just buy half of a pack.

So, it is rounded to 3 packs.

Next you have to multiply the number of packs and the cost of each pack of water bottles.

16.92*3=$50.76

a - you have to buy 3 packs

b - the total cost is $50.76

there is not enough information its an identity statement

Answer:

Step-by-step explanation:

1/5^(6-4) = 1/5^2 = 1/25

x

=

−

5

Explanation:

2

x

3

−

1

2

=

1

3

+

5

x

6

or

4

x

6

−

1

2

=

1

3

+

5

x

6

or

5

x

6

−

4

x

6

=

−

1

3

−

1

2

or

x

6

=

−

5

6

or

x

=

−

5

Answer:

$556.50

Step-by-step explanation:

25/2=$12.50

52/2=$26

66/2=$33

970/2=$485

485+33+26+12.50 = 556.50

After dividing, the total, Jenna and Harper will pay $556.5

In maths, a division is a process of splitting a specific amount into equal parts.

Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.

We will divide the total bill into two equal parts to find how much one girl should pay.

Therefore,

The total expense = 970+52+25+66 = $1113

Since, both girls are splitting the bill into halves, therefore,

$1113 / 2 = $556.5

That mean, each will have to pay $556.5

Hence, both will pay $556.5

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Answer:

10 out of 12 which is [tex]\frac{5}{6}[/tex] when simplified

Answer:

9:12

Step-by-step explanation:

3:4 is the ratio of her shots to tries

x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12

to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9

so the answer is 9:12

The value of a that makes the equation true is -1.55.

In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5

Divide both sides of the equation by 3: a + 1.5 - 1.5/3

a + 1.5 = -0.05

Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55

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$7.50

just took the cfa or test on edguninty

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

The amount of profit for selling one box is $7.5.

Option A is the correct answer.

A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.

We have,

The graph models the linear relationship between the number of boxes of cards sold and its profit.

We see from the graph that when 4 boxes of cards are sold the profit made is $30.

This can be written as:

4 boxes = $30

Divide both sides by 4 we get,

1 box = 30/4

1 box = $7.5

Thus the amount of profit for selling one box is $7.5.

Option A is the correct answer.

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Answer: The answer is (C).

Step-by-step explanation: As you can see the Points are pointing to 9 to 10 which is 9.5

Answer:

$47

Step-by-step explanation:

If she spent 47, and had none after, she spent 47.

Answer:

keep looking its in there all you need to do is look

Answer:

16.5 gallons per minute

Step-by-step explanation:

Part A is 16.5 Gallons per minute

Answer:

[tex]C\ n\ C^c = \{ \}[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Step-by-step explanation:

Required

Determine

[tex]C\ n\ C^c[/tex]

[tex](A\ n\ C)^c[/tex]

[tex]A\ u\ (B\ n\ C)[/tex]

Solving [tex]C\ n\ C^c[/tex]

[tex]C^c[/tex] implies that elements in U but not in C

Since

[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]C^c = \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]

[tex]C\ n\ C^c = \{ \}[/tex]

Because there's no intersection between both

Solving [tex](A\ n\ C)^c[/tex]

First, we need to determine A n C

[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]A\ n\ C = \{1, 5, 9\}[/tex]

[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]

[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]

Solving [tex]A\ u\ (B\ n\ C)[/tex]

First, we need to determine B n C

[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]

[tex]B\ n\ C = \{2, 4, 8\}[/tex]

So:

[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]

[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]

Answer:

n = 9

Step-by-step explanation:

3n-n+7=25

2n +7 = 25

2n = 18

n = 9

I hope this helps!

-TheBusinessMan

Step-by-step explanation:

3n-n=25-7

2n=18

n=18/2

n=9

Answer:

See below.

Step-by-step explanation:

So, from the figure, we can see that US is the combined length of UT and TS. In other words:

[tex]UT+TS=US[/tex]

We are given their equations. Substitute them:

[tex](x-3)+(12)=(3x-11)[/tex]

And this is our answer to 4.

Now, solve for x. Add on the left:

[tex]x+9=3x-11[/tex]

Subtract -3x from both sides:

[tex]-2x+9=-11[/tex]

Subtract 9 from both sides:

[tex]-2x=-20[/tex]

Divide both sides by -2:

[tex]x=10[/tex]

So, for 5, the answer is 10.

And we're done!

Answer:

11 +13 + 15  = 39

Step-by-step explanation:

Let the consecutive odd integer be X , Y , Z .

X < Y < Z

Y = X + 2

Z = X + 4

Given ,

2 Y + X = 2 Z + 7

2 ( X + 2 ) + X = 2 ( X + 4 ) + 7

2 X + 4 + X = 2 X + 8 + 7

X = 15 - 4 = 11

So the integers are

11 , 13 , 15 .

Sum of integers = 39.

Answer:

devil!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 + 10 = 19

answer is A

Answer:

126

Step-by-step explanation:

(7x6) + (7 x 12)= 126

Answer:

$6.00 to 95 cents = $6.95

Step-by-step explanation:

In currency the dollar is a whole number while the cent is a fraction of the dollar.

For the cent, every 100 cent is a dollar.

Converting the cent to dollar

100 cent = $1k

K= 100/1

95 cent = 100/1 x

95/100= x

0.95$= x

$6.00 to 95 cents = $(6+0.95)

$6.00 to 95 cents = $6.95

Answer:

16

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Consider the absolute value of the difference of the points

| - 6 - 10 | = | - 16 | = 16 , or

| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16