Which table represents a linear function that has a slope of 5 and a y-intercept of 20?​

Those activities that enable a person to describe in the detail the system that solves the need is called "System design".

The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.

Some key features regarding the system design are-

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Answer:

TAN!!!!!!!!!!!!

Soh Cah toa

Projectile motion is the motion of an object (known as a projectile) that is launched or thrown and then moves under the influence of gravity alone. In this type of motion, the object moves in a curved path called a parabola.

Projectile motion refers to the motion of an object that is launched or thrown into the air and then moves under the influence of gravity alone.

The motion of the object can be described as a combination of horizontal motion with a constant velocity and vertical motion with a constant acceleration due to gravity.

The path of the projectile is determined by its initial velocity, the angle at which it is launched, and the acceleration due to gravity. The acceleration due to gravity is always acting vertically downwards and is constant at 9.8 m/s².

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∠2 and ∠3 are opposite angles or vertical angles so they are equal.

Opposite angles are a pair of angles that are formed when two lines intersect. They are located across from each other and have the same degree measure. Opposite angles are also known as vertical angles.

More specifically, when two lines intersect, they form four angles at the point of intersection. The opposite angles are the angles that are directly across from each other, and they share a common vertex. In other words, if you draw a line segment connecting the vertices of the opposite angles, it will divide the intersection into two pairs of congruent angles.

The property of opposite angles is that they have equal measures. For example, if one of the opposite angles measures 60 degrees, the other opposite angle will also measure 60 degrees.

Opposite angles play an important role in geometry and are used in various proofs and theorems.

In the given problem, ∠2 and ∠3 are opposite angles which implies they must be equal to one another.

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In an isosceles trapezoid, the pair of opposite angles formed by the parallel sides are congruent. Therefore, the angle that is congruent to ∠C in quadrilateral ABCD would be ∠A.

An isosceles trapezoid is a quadrilateral with one pair of parallel sides and two congruent non-parallel sides. Let's consider quadrilateral ABCD. In an isosceles trapezoid, the pair of opposite angles formed by the parallel sides are congruent. In this case, the parallel sides are AB and CD, and the angles formed by these sides are ∠A and ∠C. Since AB and CD are parallel, ∠A and ∠C are congruent.

To further understand why ∠A is congruent to ∠C, we can examine the properties of isosceles trapezoids. In an isosceles trapezoid, the non-parallel sides (AD and BC) are congruent. This means that ∠A and ∠D are congruent, as well as ∠B and ∠C. Since ∠A and ∠D are congruent, and ∠A is opposite to ∠C, it follows that ∠A and ∠C are also congruent.

Therefore, in quadrilateral ABCD, the angle that is congruent to ∠C is ∠A.

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Answer:

I hope This will Help u.. Plz mark me as Brilliant please

Step-by-step explanation:

Before you get started, take this readiness quiz.

Simplify: 

If you missed this problem, review (Figure).

Solve Equations with Constants on Both Sides

In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.

Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.

By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.

Solve: 

Solution

In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.



Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.

Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.

The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .

Solve: 



Solve: 



Solve: 

Solution

Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.

Answer:

Division property of equality

Step-by-step explanation:

\( - 2m = 40\)

\(m = - 20\)

The probability that all five balls drawn from the urn are green, with replacement, we are not given the exact numbers of green and pink balls in the urn, we cannot determine the exact probability.

Since each draw is made with replacement, the probability of drawing a green ball on each individual draw remains constant throughout the process. Let's assume that the urn contains a total of N balls, with a certain number of them being green (denoted by G) and the remaining ones being pink (denoted by P). The probability of drawing a green ball on any given draw is then G/N.

In this case, we are drawing five balls, and we want all of them to be green. So, we multiply the probabilities of drawing a green ball on each draw together:

Probability = (G/N) * (G/N) * (G/N) * (G/N) * (G/N) = (G/N)^5

Since we are not given the exact numbers of green and pink balls in the urn, we cannot determine the exact probability. However, we can still express the probability in terms of G and N. The answer should be rounded to three decimal places.

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Answer:

answer: 20

Step-by-step explanation:

To find the area of a parellologram you just have to do base × height are base here is 10 and our height is 2 so 10 × 2 = 20 So 20 is the area! Hope that helps/explains well!

Answer:

D, 25h

Step-by-step explanation:

15 is just the tax. For example, if someone spends 2 hours getting tutored, the n that person pays 2 hours multiplied by 25, which is 50 bucks in total.

The correct answer is (c) 15 person years To calculate the person-time of follow-up for each individual, we multiply the number of people by the duration of follow-up for each person.

Then, we sum up the individual person-time to get the total person-time.

For the given cohort study:

2 people followed for 5 years contribute 2 * 5 = 10 person years.

3 people followed for 8 years contribute 3 * 8 = 24 person years.

1 person followed for 2 years contributes 1 * 2 = 2 person years.

Adding up the individual person-time, we get a total of 10 + 24 + 2 = 36 person years.

Therefore, option (c) 15 person years is incorrect, and the correct answer is (a) 36 person years.

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The maximum volume of the box in terms of the height h is (30 - h/2)^2 x h, and the height that allows us to have the maximum volume is 40 inches

To answer your question, let's first understand that the volume of a box is given by the formula V = L x W x H, where L is the length, W is the width and H is the height. Since we are assuming the height is fixed, we can rewrite this formula as V = L x W x h.

Now, we know that the length plus width plus height of the box cannot exceed 60 inches. Therefore, we have the equation L + W + h = 60, which we can solve for L or W in terms of h. Let's solve for L: L = 60 - W - h.

Substituting this value of L into the formula for volume, we get V = (60 - W - h) x W x h. We can simplify this equation by expanding the brackets and collecting like terms to get V = -W^2h + 60Wh - h^2.

To find the maximum volume, we need to find the value of W that maximizes this equation. We can do this by differentiating the equation with respect to W and setting the derivative equal to zero. After some calculations, we get W = 30 - h/2.

Substituting this value of W back into the equation for volume, we get V = (30 - h/2)^2 x h. To find the height that gives us the maximum volume, we can differentiate this equation with respect to h and set the derivative equal to zero. After some calculations, we get h = 40 inches.

Therefore, the maximum volume of the box in terms of the height h is (30 - h/2)^2 x h, and the height that allows us to have the maximum volume is 40 inches.

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Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer:

mint

Step-by-step explanation:

Answer:

independent

Step-by-step explanation:

Answer:

p = 63

Step-by-step explanation:

Stage 1: Simplify the two sides of the condition.  

18−0.5p=−13.5  

18+−0.5p=−13.5  

−0.5p+18=−13.5  

Stage 2: Subtract 18 from the two sides.  

−0.5p+18−18=−13.5−18  

−0.5p=−31.5  

Stage 3: Divide the two sides by - 0.5.  

−0.5p  

−0.5 =  −31.5 , −0.5  

p=63

The final equation in the system, and it can be used to solve for either x or y is x + 1.5y = 3

The pivot operation is used to solve linear equations. The operation starts by selecting a pivot element from a matrix. This pivot element is usually the first non-zero element in the first column of the matrix. The pivot element is then multiplied by a scalar to create a new equation. This new equation is then added to or subtracted from the other equations in the system to eliminate the coefficient of the pivot element. This process is repeated until the system of equations is solved.

For example, consider the following system of equations:

2x + 3y = 6

4x + 6y = 12

The first non-zero element in the first column is 2, so this will be our pivot element. To use the pivot operation, we multiply 2 by a scalar and add this new equation to the other equation. Let's use the scalar 4. This gives us:

8x + 12y = 24

Now we subtract this equation from the other equation to eliminate the coefficient of the pivot element:

2x + 3y = 6 - 8x - 12y = 24

This leaves us with:

-6x - 9y = 18

We now have an equation with only one variable. To solve for this variable, we can divide both sides by -6, giving us:

x + 1.5y = 3

This is the final equation in the system, and it can be used to solve for either x or y.

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Answer:

1,995 would round to 2,000

Step-by-step explanation:

1,995 is 5 away from 2,000 so if you were rounding to the nearest hundred 2,000 would be it

Answer:

5

Step-by-step explanation:

If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.

3/0.6 = 5

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

6000

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

5% = 0.05.

0.05x = 300

divide both sides of the equation by 0.05

0.05x/0.05 = 300/0.05

x = 300/0.05

x = 6,000

Stephen's necklace, to start can accommodate 12 macaroni noodles and 23 rotelle pieces.

Necklace of Stephen can have 35 rotelle pieces.

Stephen's pendant can have 10 pieces of rotelle and 5 macaroni noodles.

explanation:

-

Option A is accurate because 35 pieces of pasta—the maximum permitted per necklace—are obtained by adding 12 macaroni noodles to 23 pieces of rotelle.

Option B is incorrect because the sum of the allowed 35 pasta pieces plus the 15 macaroni noodles and 21 rotelle pieces equals 36 pasta pieces.

Option C is accurate because 35 pieces of Rotelle do not exceed the upper limit.

Despite the fact that they still add up to the maximum allowed, Option D is false since a string

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Answer:

The slope is -1

Step-by-step explanation:

We need two points on the line to find the slope

(0,4) and (4,0)

The slope is

m = (y2-y1)/(x2-x1)

   = (0-4)/(4-0)

  = -4/4

  = -1

we get that the equation that models the situation is:

when t=2. We get that

so we get that after 7 years ( 1997 )

This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

A.

Sample Space:

{Heads, Tails} x {1, 2, 3, 4, 5}

B. Favorable Outcomes: {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}

A. The sample space for this event can be represented as a set of all possible outcomes, which can be written as {Heads, Tails} x {1, 2, 3, 4, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all numbers from 1 to 5.

B. The favorable outcomes for the event of choosing an odd number are {Heads, 1}, {Heads, 3}, {Tails, 1}, {Tails, 3}, {Tails, 5}. This is read as the set of all possible combinations of Heads and Tails, combined with the set of all odd numbers from 1 to 5.

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The probability of rolling a number greater than 4 on a number cube is 1/3 or 0.33.

A number cube is a cube-shaped object with six sides, numbered from 1 to 6. When rolling the number cube, there are six possible outcomes, each with an equal chance of occurring. Since we are interested in finding the probability of rolling a number greater than 4, we need to determine how many of the six possible outcomes meet this condition.

There are two possible outcomes that satisfy the condition: rolling a 5 or rolling a 6.

So, as there are two outcomes = 2/6

= 1/3

Therefore, the probability of rolling a number greater than 4 is 1/3.

This can also be simplified to 0.33 or 33.3% as a decimal or percentage, respectively.

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Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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Your question was incomplete. Please refer below to find the table in the image.

We need to know about powers and indices to solve the problem. The value of nonzero number raised to the power of 0 is 1.

When a number is raised to a certain power, it can be simplified as the number is multiplied to itself the number of times as the power. For example if we write \(2^{3}\) we mean 2x2x2 which is 8. Similarly in this question we have to find the various powers of 9, the answer to \(9^{4}\) is given, we need to find for the powers 3,2,1, and finally 0.

\(9^{3}\)=9x9x9=729

\(9^{2}\)=9x9=81

\(9^{1}\)=9

\(9^{0}\)=1

When any nonzero number is raised to the power of zero the result is one.

Therefore we found out using the concept of powers and indices that the value of a nonzero number raised to the power of 0 is 1.

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The pattern of the value is given as aₙ =  2aₙ₋₁, where n is a set of natural numbers,

Given that,
We have to determine the pattern of the given series of numbers.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given series,
2, 4, 8,16, 32, .... so on
From observation, it is to be determined that each proceeding value is twice the previous value.
So,
The pattern is given as,
aₙ =  2aₙ₋₁

Thus, the pattern of the value is given as aₙ =  2aₙ₋₁, where n is a set of natural numbers,

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