In a lab experiment, 300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 18 hours. How many bacteria would there be after 3 hours, to the nearest whole number?

Answer:

x = 12

Step-by-step explanation:

4x - 5 = 2x + 19

First subtract the 2x from 4x.

2x - 5 = + 19

Then add the 5 to the 19.

2x = 24

Divide 24 by 2 in order to get x by itself.

x = 12

Answer: x > 20

Step-by-step explanation:

9 - x < - 11

In this scenario, we've to collect like terms in order to.wolve for x. This will be:

9 - x < - 11

- x < - 11 - 9

- x < - 20

Divide both side by -1

-x/-1 < -20/-1

When we divide by a coefficient with minus sign, the sign changes too from less than to greater than

-x/-1 < -20/-1

x > 20

Answer:

The height of the building is of 1026.52 feet.

Step-by-step explanation:

This situation is modeled by a right triangle, in which the length of the opposite side to the angle of 11º is the height of the building, while the length of the adjacent side is of 5281 feet.

Tangent:

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

In this question:

[tex]\tan{(11)} = \frac{x}{5281}[/tex]

[tex]x = 5281*\tan{(11)}[/tex]

Using a calculator, we have that the tangent of 11 degrees is: 0.1944. Thus:

[tex]x = 5281*\tan{(11)} = 5281*0.1944 = 1026.52[/tex]

The height of the building is of 1026.52 feet.

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

∴ the width of the field is equal to 74 yards.

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Learn more about Geometry: https://brainly.com/question/27795993

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Topic: Geometry

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Law of Exponents ⸔

→ aᵐ × aⁿ = aᵐ＋ⁿ

→ aᵐ ÷ aⁿ = aᵐ－ⁿ

→ (aᵐ)ⁿ = aᵐⁿ

→ aᵐ × bᵐ = (ab)ᵐ

→ a⁰= a¹

→ aᵐ/bᵐ = (a/b)ᵐ

Question's solution ⸔

→ 5⁰

→ 1 [a⁰ = 1]

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Step-by-step explanation:

answer: 135 degrees for the missing side

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m

Answer:

Option C

Step-by-step explanation:

Given :-

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

Answer:

c. 27

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3; 33.33 or 0.33

Answer:

I believe the answer is 55 degrees.

Plz don't report me if i'm wrong.

Step-by-step explanation:

Answer:

[tex]4x + 5[/tex]

Step-by-step explanation:

[tex](8 - 2x) - (3 - 6x)[/tex]

[tex]8 - 2x - 1 \times 3 - (6x)[/tex]

[tex]8 - 2x - 3 + 6x[/tex]

[tex] - 2x + 5 + 6x[/tex]

[tex]4x + 5[/tex]

Answer:

[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Step-by-step explanation:

Required

Sum of the polynomials

[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]

[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]

Collect like terms

[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]

[tex]Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]

[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]

Collect like terms

[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]

[tex]Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]

[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]

Collect like terms

[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]

[tex]Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]

[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]

Collect like terms

[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]

[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

Answer:

Part a:

"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. .

Part C:

A continuous random variable  is given by intervals of numbers

A discrete random variable is the variable that is obtained by counting.

Step-by-step explanation:

Part a:

"The unit has 7 or more rooms" in terms of X is given by

{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}

the unit which has 7, 8, 9 or 10 rooms.

The probability of this event is given by

P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}

P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. This does not include the unit having 7 rooms.

Part C:

A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.

A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.

Answer:

Volume = surface area

[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]

option B

Answer:

a) 1 / 12

b) 1 / 4

Step-by-step explanation:

The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.

a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.

To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12

b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.

Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

To learn more about average speed, please check: https://brainly.com/question/21734785

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

Answer:

10,369.04

Step-by-step explanation:

Sorry if i'm wrong i got a little confused with this

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]

Answer:

m - mn

Step-by-step explanation:

The two numbers are denoted by m and n respectively.

From the question, we can deduce the following points;

- the difference between m and another variable (mn).

- product or multiplication of m and n.

Translating the word problem into an algebraic expression, we have;

m - (m*n)

m - mn

Answer:

Jack=9, John= 19

Step-by-step explanation:

28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.

9 *2) +1= 19, no idea why the plus one, thats just what showed up

J1=19

J2=9

Answer:

30%

Step-by-step explanation:

Answer:

7200

Step-by-step explanation:

450 x 2 = 900

900 x 8 =7200