The population of a slowly growing bacterial colony after t hours is given by
p(t) = 4t² + 27t + 150. Find the growth rate after 2 hours.
bacteria/hour
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Answer:

4.5 ounces

Step-by-step explanation:

18/4=4.5

Answer:

223454353.000000000000000000

Step-by-step explanation:

A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.

Answer:

the measure of x is 38

Step-by-step explanation:

180-134=46 the value of one side of a line is 180 degrees so to find the vaule                of the inside angle we have to subtract 180 by the outside angle's

180-84=96

46+96=142 we then add the value's of both inside angles

180-142= 38

then we subtract that number by 180 because the total of all three angles of any triangle is always 180

Answer:

x = 38°

Step-by-step explanation:

Maths problem always go back to a number of foundational rules;

Once you recognise the ones that are relevant, you can then apply them to find the value or solution you want to find;

First thing is to look at the question and information provided in order to identify the relevant rules;

This question is asking for an angle and we can see a triangle (not a right-angle triangle) and line beneath it;

What rules should we think of with this in mind?

The following;

Using these rules, we can find x;

Firstly, according to rule 2, we can find angle OLM:

134 + OLM = 180

OLM = 180 - 134

OLM = 46

Secondly, also according to rule 2, we can find angle OML:

84 + OML = 180

OML = 180 - 84

OML = 96

Lastly, according to rule 1, we can find angle x:

OLM + OML + x = 180

46 + 96 + x = 180

x = 180 - 96 - 46

x = 38

Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.

For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]

[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]

[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 =  0.8202[/tex]

0.8202 = 82.02% probability that the shipment will make it through the control check.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The solution is in the photo

Answer:

The slope is 1

Step-by-step explanation:

Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.

Answer:

1

Step-by-step explanation:

The rates of change of points earned by both players tell us that;

Player A gains more point than Player B does for each correct answer in this round.

We are told that x is the number of

number ofquestions answered correctly and y is the score.

Now, for player B;

For 1 correct answer, he got a score of 4

For 2 correct answers, he got a score of 5

For 3 correct answers, he got a score of 6

For 4 correct answers, he got a score of 7

This means that rate of change of Player B is;

3 points for every extra question answered correctly. .

Now, the formula for player A's points is;

y = 4x + 3

Rate of change of points here is gotten by finding the derivative. Thus;

dy/dx = 4

This means player A earns 4 points for every extra question answered correctly.

In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.

Read more on slope intercept form of equation at; https://brainly.com/question/19249035

Answer:

720 mi²

Step-by-step explanation:

The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:

Area of a rectangle:

[tex]A=bh[/tex]

Replace the known values:

[tex]A=(4)(6)\\ A=24[/tex]

The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:

[tex]A=(24)(30)\\ A=720[/tex]

And last but not least, don't forget to put the unit!

Answer:

11.8125 cups of flour

Step-by-step explanation:

4 dozen = 48 cookies

126/48=2.625 batches of 48 cookies

2.625 x 4.5 = 11.8125 cups of flour

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

is 1.25 because you just add them together

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

answer: 60 × 100 = 600

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

Money saved after sale= 60% of $110

= 60/100 ×$110

= $66

Answer:

i think D. 4x4x4 = 64 is answer

Step-by-step explanation:

4³ = 4×4×4 = 64

Answer:

the answer is given in the photo below

Answer:

BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING

Step-by-step explanation:

Therefore, we found that x = -5/2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

1/2 approximately 1/2......

Answer: C. (1/2)

Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2

Answer:

5

Step-by-step explanation:

Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.

From the question,

[tex]a_{n} = a_{n-1} - 5[/tex]

if n = 2 ;  

[tex]a_{2} = a_{1} - 5[/tex]

[tex]a_{2} = 20 - 5 = 15\\[/tex]

Thus, we got [tex]a_{2} = 20[/tex].

if n = 3 ;  

[tex]a_{3} = a_{2} - 5[/tex]

[tex]a_{3} = 15 - 5 = 10[/tex]

Thus, we got [tex]a_{3} = 10[/tex].

if n = 4 ;  

[tex]a_{4} = a_{3} - 5[/tex]

[tex]a_{4} = 10 - 5 = 5[/tex]

Thus, we got [tex]a_{4} = 5[/tex].

***There are many ways to solve this question

example:

[tex]a_{n} = a_{n-1} - 5[/tex]

[tex]a_{n} - a_{n-1} = - 5[/tex]

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]

Answer:

1 hour

Step-by-step explanation:

if he started at 12 pm, then in 1 hour he would finnish

Answer:

2

Step-by-step explanation:

5 feet + 12 inches = 2 yards

Therefore

5 feet + 12 inches = yard(2)

I solving for (s)

hope that helps

Answer:

42 ft

Step-by-step explanation:

2(L + W ) = P

2 (12 + 9) = P

2 (21) = P

42 = P

P = 42

Answer:

0

Step-by-step explanation:

Answer:

5(2+3x)

Step-by-step explanation:

5 x 2 = 10

5 x 3x = 15x

10+15x

(PEMDAS)

Answer:

Step-by-step explanation:

im a boy

Answer:

Mark as brainlist

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor. Reciprocal of 35: 53.

So, 920 ÷ 35 = 920 × 53.

= 9 × 520 × 3 = 4560.

After reducing the fraction, the answer is 34.

Answer:

3/4

Step-by-step explanation:

9/20:35=9/20/3/5

=9/20*5/3

=45/60

=simplify both numbers by 15

=3/4

Answer:

11∑N=1 9000 (1.048)^n

Step-by-step explanation:

First month = a = 9,000burgers

Common ratio = r = 1 + 0.48 = 1.048

Total number of months = n = 11; from February to December.

Formula to determine the number of burgers the restaurant expects to sell this year:

       =   11∑N=1 9000 (1.048^n)

Answer:

a

Step-by-step explanation:

Answer:

455554444444555556555555554444