In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every "h" hour. What is the population of bacteria in 2 hours? Use the formula here: f(h) = 100 * (3)^h *

The total account balance after forty-five years will be $68.15

As per the known facts, the simple interest is calculated using the formula -

S. I. = (P × R × T) ÷ 100, where S.I. is simple interest, P is principal, R is rate of interest and T is time. Keep the values in formula to find the value of interest.

S.I. = (29 × 3 × 45) ÷ 100

S.I. = 3915 ÷ 100

S.I. = 39.15

To calculate the amount, we will simply add the principal and simple interest.

Amount = 29 + 39.15

Amount = $68.15

Therefore, the total account balance after forty-five years will be $68.15.

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Answer:

[-13,∞)

Step-by-step explanation:

x ≥ -13

x ≥ -13

Convert the inequality to interval notation.

[-13,∞)

The actual dimensions of Sarah's classroom are 20 feet by 30 feet, based on a scale of 1 inch representing 10 feet on the floor plan.

If 1 inch on the floor plan represents 10 feet in reality, we can determine the actual dimensions of Sarah's classroom by multiplying the dimensions on the floor plan by 10.

The width of Sarah's classroom on the floor plan is 2 inches, so the actual width would be 2 inches * 10 feet/inch = 20 feet. Similarly, the length of Sarah's classroom on the floor plan is 3 inches, so the actual length would be 3 inches * 10 feet/inch = 30 feet.

Therefore, the actual dimensions of Sarah's classroom are 20 feet by 30 feet. This means that the classroom occupies a rectangular space with a width of 20 feet and a length of 30 feet. It is important to note that these measurements are scaled up from the floor plan according to the given ratio of 1 inch to 10 feet.

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Answer:

The distance between w=1+2i and z=3-i is 3.61

Step-by-step explanation:

We need to find the distance between w=1+2i and z=3-i

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]

We will use only real numbers and not i for calculating distance.

Putting values and finding distance

[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]

So, The distance between w=1+2i and z=3-i is 3.61

Answer:

Is there more to the question?

Step-by-step explanation:

Answer:

93

Step-by-step explanation:You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.

Answer:

3/2

Step-by-step explanation:

K = Y/X

Answer:

x*4-6=10
is a ecuation
x * 4 - 6 = 10
x * 4 = 16
x = 16/4
x = 4

Answer:

0.125 liters per day

Step-by-step explanation:

0.5/4=.125

The required nonreal solution of the given equation 4x⁴ – 8x³ + 4x² – 128x – 960 = 0 is –4i, 4i.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The given expression,
4x⁴ – 8x³ + 4x² – 128x – 960 = 0.
Factorization
4.(x + 3).( x - 5).(x² + 16) = 0
Now,
x + 3 = 0    ; x - 5 = 0      ; x² + 16 = 0
x = -3         ; x = 5           ; x = ± 4i

Thus, the required nonreal solution of the given equation is –4i, 4i.

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Answer:

B

Step-by-step explanation:

why the grade tent truck fico duck session duck duck drink dunno rbi Thu to ft ft ft ft tho

Answer:

A-B=C

A= a house

B=destruction

C= aftermath

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]

[tex]\text{Required probability}=\dfrac{10}{120}[/tex]

[tex]\text{Required probability}=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

Answer:A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of it's base is twice the width.: let x = the width of the base then 2x = the length of the base and h = height of the box: 2x^2 = the area of the base 2(2xh) = 4xh = area of the two vertical sides 2xh = area of the two other vertical sides then

Step-by-step explanation:

Answer:

Gymnastics

Step-by-step explanation:

Answer:

a) -2, -1

b) (-3,0) and (-1,0)

From the graph of the given equation

the coordinates of the turning point is [tex](-2,-1)[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]

Given :

the graph of y=x^2 +4x + 3 is shown

The graph of [tex]y=x^2 +4x + 3[/tex] is attached below

From the graph we can see that , the vertex is (-2,-1)

The graph changes direction at the point (-2,-1)

so we can say that there is only one turning point at [tex](-2,-1)[/tex]

Now we find out the roots of the equation

roots are the points where the graph crosses or touches x axis

The graph crosses x axis at [tex]-3 \; and \; -1[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]

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Answer:

2t^2−7t−4 (b)

Step-by-step explanation:

=(2t+1)(t+−4)

=(2t)(t)+(2t)(−4)+(1)(t)+(1)(−4)

=2t^2−8t+t−4

=2t^2−7t−4

Answer:

the probability to flip a head is 50%

Step-by-step explanation:

I think.

Answer:

Step-by-step explanation:

Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.

Answer:

(3, 9)

Step-by-step explanation:

See attached image.

Answer:

27.893m in 27m 8dm 9cm 3mm​

Step-by-step explanation:

Just put in the digits from left to right since:

10dm = 1m

10cm = 1 dm

10mm = 1cm

Answer:

C

Step-by-step explanation:

9y-1=180-127

9y-1=53

9y=54

y=6

Answer: B

Step-by-step explanation:

Answer: 10 1/3 or 31/3

Step-by-step explanation:

Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)

(55/6 / 5/1) + 3 1/3

(55/6 x 1/5) + 10/3

11/6 + 10/3

To add fraction you have to have the same denominator, so you multiply it till it has the same denominator

11/6 + 20/3

31/3 = 10 1/3 is your final answer

Answer:

h = 15.8

Step-by-step explanation:

200 = 42 + 10h

10h = 200 - 42

10h = 158

h = 15.8

Answer:

15.8 hours

Step-by-step explanation:

Answer:

The length of the longest side is 28cm

Step-by-step explanation:

Rectangles have two pairs of equal sides, this means that if one of the sides is 15cm, there will be another side with 15cm.  So to solve the problem we should first add the length of both sides we have, which are 15cm and 15cm, and will equal 30cm. Then we subtract 30cm from the 86cm so we know what the length of the last two sides is equal to when added together, that will be 56cm. Remember, we know that these last two sides have equal lengths. This means all we have to do is divide 56cm by 2 which will equal 28cm. This means that the length of one of the longest sides is 28cm.

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Answer:

50= 2x2x5 is the prime factorization of 50.

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation: