HOW DO U COMBINE LIKE TERMS in math?? DO NOT LOOK IT UP :) THX

the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

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Step-by-step explanation:

the slope (m) of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, going from (-8, 19) to (4, -2)

x changes by +12 (from -8 to 4).

y changes by -21 (from 19 to -2).

the slope (m) is therefore

-21/+12 = -7/4

and by using (4, -2) as the point, we get

-2 = -7/4 × 4 + b = -7 + b

5 = b

and the full equation is

y = (-7/4)x + 5

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

Explanation:

Side AB is opposite angle C.

Convention is that the lowercase letters represent the side lengths, and they are opposite the uppercase angles.

In short, side AB can be relabeled as side c. Therefore, c = 6.

Angle BAC can be shortened to simply saying angle A.

Angle ABC is shortened to angle B.

The angle names are drawn directly from the middle letter.

------------------

Here's the given info:

Let's use the idea that all 3 angles of a triangle must add to 180 to find angle C.

A+B+C = 180

C = 180-A-B

C = 180-50-70

C = 60

Now let's use the law of sines to determine side 'a'.

a/sin(A) = c/sin(C)

a/sin(50) = 6/sin(60)

a = sin(50)*6/sin(60)

a = 5.3073115853515 approximately

a = 5.3 after rounding to one decimal place

Segment BC is approximately 5.3 cm long.

Answer:

The answer is Option B, Rhombus

Step-by-step explanation:

The picture shows that it is indeed a Rhombus.

The given below is rhombus.

what is polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides.

As, per the figure the given figure is a quadrilateral.

As its four sides are equal.

So, it can be a side or rhombus but the corner angle are not 90 degrees,

Hence, the given figure is Rhombus.

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Answer:

c

Step-by-step explanation:

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

Answer:

yeh its b

Step-by-step explanation:

because the first persons answer was right and well i want the points.

The solution to the system of linear equations is x = -2 and y = -4

An Algebraic equation is a mathematical statement that shows the equality between two or more quantities.

An Algebraic equation may be linear, quadratic or Polynomic depending on the highest degree on the variables.

y = 3x + 2 ---------------1

y = -2x - 8 ---------------2

Equating equations 1 and 2 to find the value of x

3x + 2 = -2x - 8

Collecting like terms

3x + 2x = -8 - 2

5x = -10

x = -10/5

x = -2

Substitute x = -2 in equation 1

y = 3(-2) + 2

y = -6 +2

y = -4

In conclusion, the solution to the system of equations is x = -2 and x = -4

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The fiber modulus required to produce a composite with longitudinal modulus of c is 56.93.

What is manufacturing process?

Manufacturing process management is a group of tools and techniques that specify how goods should be produced. MPM is distinct from ERP/MRP, which is used to schedule manufacturing, gather cost information, and organize the ordering of supplies and other resources.

What is matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns. is a matrix having two rows and three columns, for instance.

As a result, if we look at the formula for the relationship between the fiber modulus and the matrix's volume fraction, composite modulus, and fiber vol fraction, we have:

C = (M x B) / [(1-A)M + A x B]

where M denotes the fiber's modulus.

If you provide the corresponding letter values,

40 = M X 0.5 / [(1-0.7)M + 0.7 X 0.5]

M = 56.93

Hence,the fiber modulus required to produce a composite with longitudinal modulus of c (msi) is 56.93

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Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

Answer:

food 1 food 3 food 5

Step-by-step explanation:

a) Exponential expressions have the next form:

where b is the base and x is the exponent. Substituting with b = -8 and x = 3, we get:

b) In this case, the base is -2 and the exponent is 4:

c) In this case, the base is 30 and the exponent is 2:

d) In this case, the base is 0 and the exponent is 100:

Note that when the base is zero, the value of the expression is also zero.

e) In this case, the base is 9 and the exponent is 3:

The correct answer is up until now, you have gained 18,963,816 coins.

Initially, you were gaining 5 coins per minute. After 4 hours, the rate increased by 1 coin per minute, so you were gaining 6 coins per minute.

To calculate the number of coins gained, we need to convert the given time of 52674 hours to minutes. There are 60 minutes in an hour, so:

52674 hours * 60 minutes/hour = 3,160,440 minutes

Now we can calculate the number of coins gained:

For the first 4 hours:

4 hours * 60 minutes/hour * 5 coins/minute = 1,200 coins

For the remaining time:

(3,160,440 minutes - 4 hours * 60 minutes/hour) * 6 coins/minute = 18,962,616 coins

Adding the coins gained during the initial 4 hours to the coins gained during the remaining time:

1,200 coins + 18,962,616 coins = 18,963,816 coins

Therefore, up until now, you have gained 18,963,816 coins.

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The equation of the line perpendicular to (y+4) = 3(x+1) and passing through the point (0,6) is y = -1/3x + 6.

The given equation is (y+4) = 3(x+1). We need to determine the slope of this line in order to find the slope of the perpendicular line.

The given equation is in the slope-intercept form, y = mx + b, where m represents the slope. By comparing the equation to this form, we can see that the slope of the given line is 3.

Since the new line we are seeking is perpendicular to the given line, the slope of the new line will be the negative reciprocal of the slope of the given line. The negative reciprocal of 3 is -1/3.

To find the equation of a line, we can use the point-slope form: y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line, and m is the slope.

We will substitute the values (x₁, y₁) = (0,6) and m = -1/3 into the point-slope form. This gives us: y - 6 = -1/3(x - 0).

We simplify the equation by distributing -1/3 to the terms inside the parentheses: y - 6 = -1/3x + 0.

To obtain the equation in the slope-intercept form, we rearrange the equation by isolating y on one side: y = -1/3x + 6.

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Answer: 412 in

Step-by-step explanation: sorry if wrong

purple prism = y

green prism = x

136y in+ 276x in= 412

The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.

In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.

The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.

To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.

Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.

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When the spoon is submerged, it will appear to make a different angle with the normal to the interface than when it was inserted.

This is due to the phenomenon of refraction, where light waves bend as they pass from one medium to another. The angle of refraction can be calculated using Snell's law. In this case, assuming the medium above the interface is air and the medium below is water, the angle of refraction will be approximately 42◦. Therefore, the spoon will appear to make a 42◦ angle with the normal to the interface when it is submerged.
When a spoon is inserted into water at a 60° angle with the normal to the interface, the angle at which it appears to the observer will be different due to the phenomenon of refraction. To find the apparent angle, you can use Snell's Law: n1 * sinθ1 = n2 * sinθ2, where n1 and n2 are the refractive indices of air and water, respectively, and θ1 and θ2 are the incident and refracted angles.
For air, n1 ≈ 1, and for water, n2 ≈ 1.33. With θ1 = 60°, you can calculate θ2:
sinθ2 = (n1 * sinθ1) / n2
θ2 = arcsin((1 * sin60°) / 1.33)
Solving for θ2 will give you the apparent angle of the submerged spoon with respect to the normal to the interface.

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Answer:

0.8253

Step-by-step explanation:

because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.

Answer:

70 degrees.

Step-by-step explanation:

They are vertical angles, and vertical angles are always congruent.

Answer: please help me with this, I will do whatever you want but please help me please!

Step-by-step explanation:

Answer:

Positive Integer factors of 630 = 2, 3, 6, 18, 5, 90, 7, 630 divided by 2, 3, 3, 5, 7, gives no remainder. They are integers and prime numbers of 630, they are also called composite number.

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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Answer:

10/4 or 5/2 = 2.5

Step-by-step explanation:

\(~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}\)

first case

\(|x-1|=3\\\\x-1=3\\\\x=4\)

second case

\(-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2\)

The solutions are {-2, 4}

The method of collecting data used by Rick in this scenario is called stratified sampling.

In stratified sampling, the population is divided into separate groups or strata based on specific characteristics, and then a sample is selected from each group.

To explain the steps in this process:

1. Rick identifies the groups he wants to focus on, which are men and women in this case. These groups are considered the strata.
2. He then chooses a sample of 28 women and 30 men from each group.
3. Rick asks the selected employees if they want changes to their medical insurance coverage.

Stratified sampling is used in this situation to ensure that both men and women's opinions are equally represented and to avoid any potential bias in the results. This method helps to get a more accurate and representative understanding of the overall population's opinion on changes to their medical insurance coverage.The sample is selected randomly to ensure that it is representative of the population. By surveying a sample of employees, Rick can get an idea of what the entire company wants in terms of changes to their medical insurance coverage without having to survey every single employee. This method of data collection is often used in large-scale studies where it is impractical to survey the entire population.

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To verify the conditions of a binomial situation, there are three conditions that need to be met. These conditions are:
Fixed number of trials: The number of trials must be fixed, meaning that a specific number of experiments or observations are conducted. For example, flipping a coin 10 times or rolling a dice 20 times.

Independent trials: Each trial must be independent of each other, meaning that the outcome of one trial does not affect the outcome of the others. This ensures that each trial has the same probability of success or failure. For example, if we are flipping a fair coin, each coin flip is independent of the others. Two possible outcomes: There must be only two possible outcomes for each trial - success or failure. These outcomes must be mutually exclusive and exhaustive. For example, in a coin flip, the outcome can either be heads (success) or tails (failure). To provide evidence of whether these conditions are satisfied, we can look at the specific situation described in the post. If any of these conditions are not met or unclear, we need to identify and explain what is wrong or missing. It is important to carefully analyze the context and details provided to determine if the binomial conditions are satisfied. To verify the conditions of a binomial situation, we need to consider three conditions from the textbook. Firstly, the number of trials must be fixed. For example, if we are conducting an experiment of flipping a coin, we need to determine the specific number of flips. This ensures that there is a consistent number of trials in the situation. Secondly, each trial must be independent of each other. This means that the outcome of one trial should not affect the outcome of the others. For instance, if we are flipping a fair coin, each flip is independent, and the outcome of the previous flip does not impact the outcome of the next flip. Lastly, there must be two possible outcomes for each trial - success or failure. These outcomes should be mutually exclusive and exhaustive. In the case of flipping a coin, the possible outcomes are heads (success) or tails (failure). By verifying these conditions, we can ensure that the situation meets the criteria for a binomial scenario.

To verify the conditions of a binomial situation, it is important to check if the number of trials is fixed, if each trial is independent, and if there are only two possible outcomes. By ensuring that these conditions are met, we can confidently identify a situation as a binomial scenario.

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