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Answer:

here i finished!

hope it helps yw!

Step-by-step explanation:

The doubling period of a bacterial population is 15 minutes.

At time t = 90 minutes, the bacterial population was 50000.

Round your answers to at least 1 decimal place.

:

We can use the formula:

A = Ao*2^(t/d); where:

A = amt after t time

Ao = initial amt (t=0)

t = time period in question

d = doubling time of substance

In our problem

d = 15 min

t = 90 min

A = 50000

What was the initial population at time t = 0

Ao * 2^(90/15) = 50000

Ao * 2^6 = 50000

We know 2^6 = 64

64(Ao) = 50000

Ao = 50000/64

Ao = 781.25 is the initial population

:

Find the size of the bacterial population after 4 hours

Change 4 hr to 240 min

A = 781.25 * 2^(240/15

A = 781.25 * 2^16

A= 781.25 * 65536

A = 51,199,218.75 after 4 hrs

Answer:

A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the population is p(t)=2500e^(kt) for some constant k. Find the size of the bacterial population after 100 minutes. Find the size of the bacterial population after 4 hours.

Step-by-step explanation:

Answer:

1. 10000 bacteria

2. 640000 bacteria

Step-by-step explanation:

2500 bacteria: 30 minutes

x bacteria: 60 minutes

The bacteria gets doubled twice

2500*2*2=10000

x bacteria:240 minutes

The bacteria gets doubles 8 times

2500*2*2*2*2*2*2*2*2= 640000

Answer:

6.25%

Step-by-step explanation:

I'm simply returning the favor.

If the down payment is $200, then we can subtract:

$800 - $200 = $600

Then we can find the "rent" times ten, then subtract it from the $600 left to pay.

$65*10 = $650

Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.

$650 - $600 = $50

Now we need to find how much more Mohamed paid than the original price.

$850 is _____% more than $800.

$850 is 106.25% more than $800.

Subtract 100% to get the difference.

6.25% is your answer.

Hope this helps. Have a nice day.

Answer:

Semimonthly is twice a month. There are 12 months in a year, which means Manny will get paid 12 x 2 = 24 times a year.

His annual salary is:

$1,239 x 24 = $29,736

Answer:

Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-5+3=-2

8+14=22

Answer:

Step-by-step explanation:

ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt

The inequality that describes the possible value of x is 2< x < 22.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given that ∠A = 50°

AB ≈ DE ≈ EF

BC = 12

CD = 10

And the ∠E = (5x - 10)°

From the Graph, we can see that Angle A is the alternate angle to angle G

Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.

thus, ∠A = ∠E

50° = 5x -10

5x = 60

x = 12

Therefore, from the given options the value of x lies in the inequality 2 < x < 22.

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Answer:

2 cm and 7 cm

Step-by-step explanation:

6/3 and 21/3 = 2 and 7

Answer:

1[tex]x^{2}[/tex]

Hope that helps!

Step-by-step explanation:

Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

30x = 93

x = 3.1

14x = 43.4

Answer:

13 to 10    13:10   13/10    all the same.

it can't be simplified because 13 can't be made smaller in equal proportions to 10.

Step-by-step explanation:

Answer:

13 to 10

Step-by-step explanation:

I haven't done this since 2nd grade

Answer:

Texas is 2.08333 * 10^2 times the size of Carolina.

Step-by-step explanation:

Given :

Given that:

Texas= 2.5x10^5

Carolina = 1.2x10^3

Comparing the size of Texas and Carolina

Texas / Carolina

(2.5 * 10^5) ÷ 1.2 * 10^3

(2.5/1.2) * 10^5-3

2.08333 * 10^2

Hence, Texas is 2.08333 * 10^2 times the size of Carolina.

Answer:

6.3

Step-by-step explanation:

Answer:

6.3 feet

Step-by-step explanation:

cosB= hypotenuse/adjacent = x/6.4

​cos8 = x/6.4

6.4 cos8= x

x= 6.3377 = 6.3 feet

Answer:

the angle is 81 and it's complementary angle is 9

let X be the angle

let 90-x be it complementary angle

so X=9(90-x)

X=810-9x

810=10x

X=810/10

X=81

and complementary angle 90-x which is 90-81 is equal to 9...

Answer:

-4m/s²

Step-by-step explanation:

(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²

Answer:

-209

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

Answer:

No, I do not think the sample is biased.

Step-by-step explanation:

Well, Theo is surveying people randomly, he has no way of knowing who'll be the fourth person.

Answer:

Negative

Step-by-step explanation:

Years of Factoring:

What the problem tells us is that we have:

X^2 - 4x - 3

or something along these lines. If we factor this we get:

(X-4)(X+1)

The bigger inside factor has to be negative for these problems, because the third term is negative.

The sum of the middle term must give a negative value.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that If the middle term of a quadratic trinomial is negative and the last term is negative then the sum of the middle terms must give a negative value.

What the problem tells us is that we have:

x² - 4x - 3

Something along these lines. If we factor this we get:

(x-4)(x+1)

The bigger inside factor has to be negative for these problems because the third term is negative.

Therefore, the sum of the middle term must give a negative value.

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Answer:

I believe that the answer is 13 feet long

Given:

The figure of two triangles.

To find:

The scale factor.

Solution:

We know that,

[tex]\text{Scale factor}=\dfrac{\text{Side of Image}}{\text{Corresponding side of original figure}}[/tex]

In the given figure,

[tex]\text{Scale factor}=\dfrac{5(2)}{5}[/tex]

[tex]\text{Scale factor}=2[/tex]

The scale factor is 2. Therefore, the correct option is B.

Answer:Measure of the angles are 50, 130, 50 & 130

Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

enter image source here

Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

2

A

+

30

=

180

−

A

∴

3

a

=

180

−

30

=

150

A

=

50

,

B

=

180

−

A

=

180

−

50

=

130

Measure of the four angles are

50

,

130

,

50

,

130

Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

Answer:

16

Step-by-step explanation:

The value of the angle m∠P is given by the law of sines and m∠P = 16°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔNOP

Now , the measure of side p = 72 inches

The measure of side o = 84 inches

And , the measure of angle ∠O = 19°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin p / 72 = sin o / 84

Multiply by 72 on both sides , we get

sin p = ( 72 / 84 ) sin ( 19 )°

On further simplification , we get

sin p = ( 0.857 ) x 0.325568

sin p = 0.279058

Taking inverse on both sides , we get

p = sin ⁻¹ ( 0.279058 )

p = 16.204°

Therefore , the value of p is 16°

Hence , the measure of angle ∠P = 16°

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