In a lab experiment, a population of 250 bacteria is able to triple every hour. Which equation matches the number of bacteria in the population after 8 hours?

==========================================================

Explanation:

All three angles must add to 180. This is true for any triangle.

x+x+110 = 180

2x+110 = 180

2x = 180-110 ... subtract 110 from both sides

2x = 70

x = 70/2 .... divide both sides by 2

x = 35

As a check: 35+35+110 = 180 which helps confirm the answer.

Answer:

Step-by-step explanation:

x + x + 110 = 180 degree (sum of interior angles of a triangle)

2x + 110 = 180

2x = 180 - 110

x = 70/2

x = 35 degree

Answer:

Bats        Insects(grams)

9                   45g

36                  X g

Unitary method :

              \(X = \frac{36*45}{9} = 4*45 = 180g\)

Answer:

Option (A)

Step-by-step explanation:

From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.

b(x) = 0.10x   when x ≤ 200

         0.15(x - 200) + 20  when x > 200

For x = 400 kWh,

Function which represents the expenses of the bill,

b(400) = 0.15(400 - 200) + 20 [Since x > 200]

           = 0.15(200) + 20

           = 30 + 20

           = $50

Therefore, Option (A) will be the answer.

Answer:

Consider the quadratic equation

x

2

+

4

x

+

4

=

0

, which, on the left side, is also a perfect square trinomial. Factoring to solve:

⇒

(

x

+

2

)

(

x

+

2

)

=

0

⇒

x

=

−

2

and

−

2

Two identical solutions! Recall that the solutions of a quadratic equation are the x intercepts on the corresponding quadratic function.

So, the solutions to the equation

x

2

+

5

x

+

6

=

0

, for example, will be the x intercepts on the graph of

y

=

x

2

+

5

x

+

6

.

Similarly, the solutions to the equation

x

2

+

4

x

+

4

=

0

will be the x intercepts on the graph of

y

=

x

2

+

4

x

+

4

.

Since there is really only one solution to

x

2

+

4

x

+

4

=

0

, the vertex of the function

y

=

x

2

+

4

x

+

4

lies on the x axis.

Now, think of the discriminant of a quadratic equation. If you don't have previous experience with it, don't fret.

We use the discriminant,

b

2

−

4

a

c

, to verify how many solutions, and the solution type, a quadratic equation of the form

a

x

2

+

b

x

+

c

=

0

may have without solving the equation.

When the discriminant equals less than

0

, the equation will have no solution. When the discriminant equals exactly zero, the equation will have exactly one solution. When the discriminant equals any number more than zero, there will be exactly two solutions. If the number in question that you get as a result is a perfect square in the latter case, the equation will have two rational solutions. If not, it will have two irrational solutions.

I've already shown that when you have a perfect square trinomial, you will have two identical solutions, which is equal to one solution. Hence, we can set the discriminant to

0

and solve for

c

.

Where

a

=

1

,

b

=

14

and

c

=

?

:

b

2

−

4

a

c

=

0

14

2

−

4

×

1

×

c

=

0

196

−

4

c

=

0

4

c

=

196

c

=

49

Thus, the perfect square trinomial with

a

=

1

and

b

=

14

is

x

2

+

14

x

+

49

. We can verify this by factoring.

x

2

+

14

x

+

49

=

(

x

+

7

)

(

x

+

7

)

=

(

x

+

7

)

2

Practice exercises:

Using the discriminant, determine the values of

a

,

b

,

or

c

that render the trinomials perfect squares.

a)

a

x

2

−

12

x

+

4

b)

25

x

2

+

b

x

+

64

c)

49

x

2

+

14

x

+

c

Step-by-step explanation:

Answer: (10, -1)

Step-by-step explanation:

Subtract the bottom equation from the top to get:

2x=20

X=10

Plug on for X , y= -1

The required inequality describes for the given problem is  x < 8.5.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles.

let x represent the weight of the block of wax originally

then,inequality can be written as,

x - 3.5 < 5

x < 8.5

Thus, required inequality is x < 8.5.

To know more about inequality visit:

brainly.com/question/30231190

#SPJ4

Answer: it B

sorry this is not much

Answer: B

Step-by-step explanation:

Don't worry bro I don't know how to read because I ain't got time for that only thing I got time for is Money & my PS4

Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

Answer:

x = -14

Step-by-step explanation:

-9 -5 = -14

An x-bar and R-chart were constructed using the given data. The x-bar chart displays the sample averages, while the R-chart shows the sample ranges. By analyzing these charts, we can determine if the process is in control.

To construct the x-bar and R-charts, we use the sample averages and sample ranges provided in the table. The x-bar chart helps us monitor the central tendency of the process, while the R-chart monitors the variability or dispersion within the samples.

Plotting the x-bar chart:

   Calculate the overall mean (x-double bar) by averaging all the sample averages.

   Calculate the average range (R-bar) by averaging all the sample ranges.

   Calculate the control limits for the x-bar chart using the formulas: Upper control limit (UCL) = x-double bar + A2 * R-bar, Lower control limit (LCL) = x-double bar - A2 * R-bar, where A2 is a constant factor depending on the sample size.

   Plot the sample averages on the x-bar chart along with the control limits.

Plotting the R-chart:

   Calculate the control limits for the R-chart using the formulas: UCL = D4 * R-bar, LCL = D3 * R-bar, where D3 and D4 are constant factors depending on the sample size.

   Plot the sample ranges on the R-chart along with the control limits.

By examining the x-bar and R-charts, we can assess whether the process is in control. If the data points fall within the control limits, with no specific patterns or trends, the process is considered in control. If any data points fall outside the control limits or show non-random patterns, it suggests the process is out of control and further investigation is required.

LEARN MORE ABOUT mean HERE:

https://brainly.com/question/29029886

#SPJ11

THIS QUESTION IS INCOMPLETE HERE IS THE GENERAL SOLUTION.

Answer:

16:80

Step-by-step explanation:

80 people * ( 1 pineapple / 5 people) = 16

Answer:

Step-by-step explanation:

d=17in

Answer:

x = 5, x = 3

Step-by-step explanation:

Hello!

For the equation (x-5)(7x - 21) = 0, we can use the zero-product property to solve the equation.

The zero product property states that for factors when multiplied equal to 0, you can set each factor to 0 and solve for the variable inside.

Using this property, we can say:

The solutions are x = 5, and x = 3.

Answer:

c

Step-by-step explanation:

False, the LCM of 50, 120 and 225 is 1800.

5 is the GCF of 50 120 and 225, not the LCM.

Hope it helps!

Answer:

The answer is False

Step-by-step explanation:

5 is the smallest number that can fit into all 3 numbers.

Step-by-step explanation:

500e^0.0675t=1000

e^0.0657t=1000/500

e^0.0657t=2

take natural log of both side

lne^0.0657t=ln2

0.0657t=ln2

0.0657t=0.69314718056

t=0.69314718056/0.0657

t=10.55018539665

Answer:

To solve this problem, we need to add up the total amount of twine Charles used and then subtract it from the total amount he had.

Charles used 6.6 feet for each of the four packages, so he used a total of 6.6 * 4 = 26.4 feet for those packages.

He also used 7.5 feet for another package.

Therefore, the total amount of twine Charles used is 26.4 + 7.5 = 33.9 feet.

To find out how much twine Charles had left, we need to subtract the amount he used from the total amount he had:

42.3 - 33.9 = 8.4 feet

Therefore, Charles had 8.4 feet of twine left.

Step-by-step explanation:

The correct answer is 0.3415.

To find the probability that the sample proportion is greater than 0.62, we can use the normal approximation to the binomial distribution.

Given that the population proportion is p = 0.60, the sample proportion follows an approximately normal distribution with a mean of p and a standard deviation of sqrt(p(1-p)/n), where n is the sample size.

In this case, n = 100, so the standard deviation is sqrt(0.60*(1-0.60)/100) ≈ 0.0489898.

To find the probability that the sample proportion is greater than 0.62, we can standardize the value using the z-score formula:

z = (x - μ) / σ

Where x is the value we're interested in (0.62), μ is the mean (0.60), and σ is the standard deviation (0.0489898).

z = (0.62 - 0.60) / 0.0489898 ≈ 0.408247

Now, we need to find the probability corresponding to this z-score using the standard normal distribution table or a statistical calculator. The probability that the sample proportion is greater than 0.62 is approximately 0.3415.

Learn more about Proportion

brainly.com/question/1496357

#SPJ11

Answer:

.12

Step-by-step explanation:

See if the number after the hundreths is greater than or 5, which in this case its not, so you will round it by keeping it the same

Answer:

{ 1, 2, 3, 4, 5 }

Step-by-step explanation:

The domain is just the x-values of a point.

Hopefully this helps!

Brainliest please?

Answer:

16

Step-by-step explanation:

\(\frac{x^{2} }{y^{-1} }\)

\(\frac{(-2)^{2} }{4^{-1} }\)  To make the exponent positive in the denominator, you put it in the numerator.

\((-2)^{2}\)· \(4^{1}\)

4 ·4 = 16

Answer:

the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.

Answer:

(- 2, 0 ) and (0, 0 )

Step-by-step explanation:

The x- intercepts are where the graph intersects with the x- axis.

Here, there are 2 points where the graph crosses the x- axis, that is

(- 2, 0 ) and (0, 0 )

Answer:

  7a: b = 12.5; 7b: 30/12 = b/5

  8a: c = 32.5; 8b: 30/12 = c/13

  9: 30:12 = 2.5

Step-by-step explanation:

Given similar triangles with sides b, 30, and c corresponding to a smaller triangle with sides 5, 12, and 13, you want the measures of b and c, suitable proportions for finding them, and the scale factor of the larger to smaller triangle.

The value of b can be found from the proportion relating corresponding sides:

  30/12 = b/5

  b = 5·30/12 = 12.5

A suitable proportion for finding c is ...

  30/12 = c/13

  c = 13·30/12 = 32.5

The ratio of larger to smaller side lengths is ...

  30:12 = 2.5:1 = 2.5

Answer:

x = -0.7

Step-by-step explanation:

0.4x + 0.2 = 0.2x + 0.06

Rearrange

0.4x - 0.2x = 0.06 - 0.2

0.2x = -0.14

x = -0.7

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I used a graphing calculator

Answer:

I think it is 81x

Step-by-step explanation:

It look the same as angle B which is 121 degree. 81x +40 = 121 degree.

Answer: \(\frac{1}{3} \sin x^{3}+C\)

Step-by-step explanation:

Let \(u=x^3\). Then, \(3x^2 dx = du \longrightarrow x^2 dx =\frac{1}{3}du\)

So, we can rewrite the original integral as

\(\frac{1}{3} \int \cos u \text{ } du=\frac{1}{3} \sin u+C=\frac{1}{3} \sin x^{3}+C\)

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4