A bottle contains 2 L 95 mL water. Express the amount of water in litres.

The area of the sector  2π/3 radians with diameter 10 feet 75π feet²

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

Diameter =  10 feet

radius = 5 feet

angle =   2π/3 radians

⇒angle= arc/radius

⇒  2π/3 radians° =arc/10

⇒ arc =2π/3 radians *10

 ⇒arc=2π/3 radians*10

⇒arc = 20/π43 feet

Area of a circle = π*r²

                        =  π*5² = π25

∵ area of complete circle is π25

∴ area of 2π/3 radians = π25/2π *2π/3 radians

                                     = 75π  answer

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Answer:

3m-4

Step-by-step explanation:

marcie's age be x

her father age is four less than three times

the equation tht describes her father age is 3m-4=40

Answer:

it is a 60 30 90 triangle so basically 2y is = x

21² + y² = x²

441 + y² = x²

y = x/2 (2y = x)

441 + x²/4 = x²

4x² = 1764 + x²

3x² = 1764

x = exact is 24.248711306 simplied square root would just be 14√3

2y = 14√3

y = 7√3

exact wouldd be 12.124355653

Answer:

Step-by-step explanation:

15 divided by 15 is 1

3.45 divided by 15 is 0.23

The cost per ounce is 23 cents, or $0.23

Answer:

225

Step-by-step explanation:

25:75=75:?

25*3 is 75, so 75*3 is ?

75*3 is 225

Hope this helps!

Let me know if it does

Answer: 225 cats

Step-by-step explanation:

25 dogs x 3: 75 cats x 3

75 dogs: 225 cats

The vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

The quadratic equation is given as:

y = -x^2 + 4x - 1

Differentiate the above quadratic equation.

This is done with respect to x by first derivative

So, we have:

y' = -2x + 4

Set the derivative to 0

-2x + 4 = 0

Subtract 4 from both sides of the equation

-2x + 4 - 4 = 0 - 4

Evaluate the difference in the above equation

-2x = -4

Divide both sides of the above equation by -2

x = 2

Rewrite as

h = 2

Substitute 2 for x in the equation y = -x^2 + 4x - 1

y = -2^2 + 4 *2 - 1

Evaluate the equation

y = 3

Rewrite as:

k = 3

A quadratic equation in vertex form is represented as:

y = a(x - h)^2 + k

So, we have:

y = a(x - 2)^2 + 3

In the equation y = -x^2 + 4x - 1, a = -1

So, we have:

y = -(x - 2)^2 + 3

Hence, the vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

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Answer:

Step-by-step explanation:

This is a probability question, basically on independent events.

B and C are said to be independent if the occurrence of either event does not affect the occurrence of the other.

And now considering the fact that C will always present a head any way anyhow, the occurrence

of C will affect the outcome of B and C.

Hence B and C are not independent events

Answer:

Hence, x=28.

Step-by-step explanation:

As, Michael completed a 6.2-mile race in 2 hours and 30 minutes. Using the inverse proportionality between time and speed, we can determine Michael's speed. The calculation shows that Michael's speed was approximately 2.48 miles per hour.

In an inverse proportion, two variables are related in such a way that an increase in one variable leads to a decrease in the other variable, and vice versa. In this case, the time taken to finish the race (t) is inversely proportional to the speed of the runner ($). Mathematically, this relationship can be expressed as t = k/$, where k is a constant.

To determine Michael's speed, we can plug in the given values into the equation. The race length is given as 6.2 miles, and the time taken is 2 hours and 30 minutes. First, we convert the time into hours by dividing 30 minutes by 60: 30/60 = 0.5 hours. So, the total time in hours is 2 + 0.5 = 2.5 hours.

Now we can substitute the values into the equation: 2.5 = k/$. To isolate $, we can multiply both sides of the equation by $ and divide by 2.5: $ = 2.5k. Since we are looking for the speed in miles per hour, we can express it as miles per hour = 6.2 miles / 2.5 hours. Simplifying the expression gives us approximately 2.48 miles per hour as Michael's speed.

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Answer: 6 1/2. yards

Step-by-step explanation:    you have to add 1 1/3 + 5/6, which is 2 1/6. 2 1/6x3=6 1/2.  then thats your answer

"The remainder when n is divided by 9 is 45." Let n be the number whose digits add up to 135. For the sum of the digits to be 135.

We need to have a nine in the thousands place (or greater), because a maximum of 8 × 9 = 72 can be made from the other digits. Since n contains the digit 9, its remainder upon division by 9 is the same as the remainder when the sum of its digits is divided by 9.

Because the digits sum to 135, the remainder when n is divided by 9 is the same as the remainder when 135 is divided by 9, which is 0. Thus, the remainder when n is divided by 9 is 0.If the main answer to the problem is x, then, we have x = 135 + 0

= 135. Hence, the remainder when n is divided by 9 is 45.

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the reflection over the line y=x tells us to swap the points.

Therefore the point (0,-8) becomes (-8,0)

Answer:

Step-by-step explanation:

At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase? Follow • ... Get the right answer, fast. ... No packages or subscriptions, pay only for the time you need.

Stabilizing selection is a type of natural selection that favors the average phenotype over extreme variants, leading to a reduction in genetic diversity.

Directional selection is a type of natural selection that favors one extreme phenotype over others, leading to a shift in allele frequency in one direction, often in response to a changing environment or new selective pressure.

Stabilizing selection is a type of natural selection that favors the average phenotype over extreme variants. This type of selection occurs when the existing phenotype is well adapted to a stable environment, and individuals with extreme phenotypes are less fit. As a result, the genetic diversity of a population is reduced, and the population becomes more homogeneous over time.

Directional selection, on the other hand, favors one extreme phenotype over others, leading to a shift in allele frequency in one direction. This type of selection often occurs in response to a changing environment or new selective pressure, and can lead to the evolution of a new trait or the adaptation of a population to a new environment.

Overall, natural selection plays a critical role in shaping the genetic makeup of populations and driving the process of evolution.

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Answer:

15

Step-by-step explanation:

1.5/1 = 1.5

1.5 x 10 = 15

Answer:

c=15

Step-by-step explanation:

You can use equivalent fractions for this. 1x10 is 10, so you do the same to 1.5. 1.5x10 is 15. So 15 takes the place of c.

Hope it helps!

Answer:

Because she found it improves division.

Step-by-step explanation:

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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The type of sample that a store prints a request on each receipt asking customers to fill out a satisfaction survey online if they are willing is a voluntary response sample.

In the statistics world, a voluntary response sample is a research sample that relies on individual self-selection. This is in opposition to random sampling, in which the samples are gathered in a way that ensures everyone in a particular population has an equal chance of being chosen. This method of self-selection is also known as self-selection bias or sampling bias.Voluntary response samples are subject to a variety of flaws. The responses may not be representative of the population as a whole, and they may be skewed by numerous factors, such as which individuals are most likely to volunteer, how these volunteers differ from the population as a whole, and how the survey questions are phrased.The results of a voluntary response survey may be useful in generating hypotheses or gaining a general sense of how individuals feel about a particular subject. However, they are not reliable enough to draw any conclusions or to be taken seriously in the scientific sense.

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The probability that the father is heterozygous is 1/2.

What is the probability?

Probability is a mathematical concept that describes the likelihood of an event occurring. It is a value between 0 and 1, where 0 means an event is impossible to occur and 1 means an event is certain to occur.

The concept of probability is used in many areas of mathematics, science, and engineering to make predictions and decisions based on uncertain information. In reference to question 12, the probability that the father is heterozygous would be one of the given answer options a. 1/4, b. 1/2, c. 1, or d. 1/16, depending on the specific details of the question and the information available.

Hence, The probability that the father is heterozygous is 1/2.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

you need to show us the hole

If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.

The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:

1 - 0.20 = 0.80

Therefore, the probability that there is no defect is 80%.

In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.

If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.

By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.

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Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) \($-(\sqrt[3]{8}) = -2$\)

(b) \($\sqrt[4]{-81}$\) is not a real number

(a) \($-(\sqrt[3]{8})$\):

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because \(2^3 = 8\).

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, \($-(\sqrt[3]{8}) = -2$\).

(b) \($\sqrt[4]{-81}$\):

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

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Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To \: find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}\)

\( \sf (Radius)^2 = (16)^2-(12)^2\)

\( \sf (Radius)^2 = 256-144=112\)

\( \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm\)

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

the distance between -4 and -14 is 10

Step-by-step explanation:

they both as negative numbers

Distance = 10

⇒ Distance = Larger integer - Smaller integer

In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.

⇒ Distance = (-4) - (-14)

Simplify the expression on the R.H.S:

⇒ Distance = -4 + 14                                                            [-1 x -1 = 1]

⇒ Distance = 10

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Answer: -30 and 30

Step-by-step explanation: