This quadrant has the signs (-,+) _for quadrants

The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The slope intercept form of a line is,

y = mx + c,

m : slope and c : y intercept

y intercept is the y coordinate of a point when x coordinate equals 0.

Given linear equation is y = 1/2 x + 2.

m = 1/2 and c = 2

Find the slope and y intercept of each of the line in the options given.

In the first option, we have the point (0, -2).

y intercept of this line = -2, which is not the required y intercept.

In the second option, points given are (-4, 0) and (0, 2).

Since we have the point (0, 2), y intercept = 2

m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2

So the line in the second option is the required line.

Hence the graph of the line represented in the second option is the required line.

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The exact value of f(pi) is 0 since when the point on the unit circle has traveled pi distance from its starting point (1,0), it will be at the same height as the starting point.

Let us consider a point on a unit circle centered at (0,0), starting at the point (1,0) and moving around the circle for a distance d. As the point moves around the circle, its height, h, above the x-axis will vary. To find the exact value of f(pi), we need to determine the height of the point when it has traveled a distance of pi around the circle.

When the point has traveled half the distance around the circle, i.e., pi/2, it will be at the point (-1,0), and its height will be 0 since it is on the x-axis. As the point continues to move around the circle, its height will increase until it reaches its maximum height at the point (0,1), where its height is 1.

As the point continues to move around the circle, its height will decrease until it reaches point (1,0), where its height is again 0. Therefore, f(pi) is equal to the height of the point when it has traveled a distance of pi around the circle, which is equal to the height of the point when it is at the point (1,0). Thus, f(pi) = 0.

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By using the slope, we can determine the change in the y-coordinate for a given change in the x-coordinate. Applying this change to the given point gives us the coordinates of the additional points.

To find three additional points on a line given a point on the line and its slope, we can use the slope-intercept form of a linear equation, y = mx + b. The slope, denoted by m, represents the change in the y-coordinate divided by the change in the x-coordinate.

First, we use the given point on the line to substitute the x and y values into the equation. This allows us to solve for the y-intercept, represented by b. With the slope (m) and y-intercept (b), we have the equation of the line.

To find the additional points, we can choose different x-values and calculate the corresponding y-values using the equation. By applying the slope to the change in x, we can determine the change in y. Adding or subtracting this change from the y-coordinate of the given point gives us the y-coordinate of the additional points.

By repeating this process for different x-values, we can find three additional points through which the line passes. These points, combined with the given point, help us visualize the line and understand its behavior.

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The rate at which lemons being used in lemons per cup of lemonade is 0.25 lemons per cup

A ratio compares values. A ratio says how much of one thing there is compared to another thing.

Rate of Change

Rate of change is the value at which the rest of the time.

Let the rate of lemon per cup of lemonade be x

Total lemon = 4

For a cup of lemonade =16

Rate of lemon per cup of lemonade

x = 4/16

x= 0.25.

Therefore, the required rate of lemon per cup of lemonade is 0.25 lemons per cup

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The equations to solve are x + y = 100 and 15x + 20y = 1650. Solving these equations gives x = 70 and y = 30. Therefore, 70 type A masks and 30 type B masks were sold in April 2020.

To find the number of masks of each type sold in the month of April, we can set up a system of equations based on the given information.

Let's assume that 'x' represents the number of type A masks sold and 'y' represents the number of type B masks sold.

From the given information, we know that the cost of a type A mask is Rs. 15 and the cost of a type B mask is Rs. 20. The total sales for 100 masks is Rs. 1650.

So, we can write the following equations:

x + y = 100 (Equation 1: Total number of masks sold is 100)

15x + 20y = 1650 (Equation 2: Total sales amount is Rs. 1650)

To solve this system of equations, we can use the substitution method. Rearrange Equation 1 to solve for x:

x = 100 - y

Substitute this value of x into Equation 2:

15(100 - y) + 20y = 1650

Expanding the equation:

1500 - 15y + 20y = 1650

Combine like terms:

5y = 150

Simplifying:

y = 30

Substitute this value of y back into Equation 1 to find x:

x + 30 = 100

x = 100 - 30

x = 70

Therefore, 70 type A masks and 30 type B masks were sold in the month of April.

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Answer:

x= 1, y= -2, z= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Option B

Step-by-step explanation:

Only lines which are parallel to the line which connects the given two points will neve r intersect,

parallel line has same slope

the slope of the line which connects the given two points is, 5/2

and the line is option B also has the same slope, so those two lines will never intersect each other.

Answered by GAUTHMATH

Matrix BA is a 5x6 matrix because when multiplying matrices, the number of columns of the first matrix must match the number of rows of the second matrix. Matrix A is 5x4, and matrix B is 4x6. Therefore, when multiplying A and B, you would get a 5x6 matrix.

For example, let A be the following 5x4 matrix:

And let B be the following 4x6 matrix:

Then AB will be 5x6 matrix

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Answer:

-5

Step-by-step explanation:

12-7=5

7-12=-5

If this helps please mark as brainliest

Arithmetic

7-12

Meaning, 12 less than 7.

7-12=-5

The equation of a line passing through given two points is 5x-2y-12 = 0

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given is a graph of a line passing through (0, 0) and (6, 15), we need to find the equation of this line,

The equation of a line passing through two points is given by :-

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (6, 15)

Therefore. the required equation of the line :-

y-6 = 15-0 / 6-0 (x-0)

y-6 = 15x/6

6y-36 = 15x

15x-6y-36 = 0

5x-2y-12 = 0

Hence, the equation of a line passing through given two points is 5x-2y-12 = 0

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Answer:

first option

Step-by-step explanation:

For the proportion to be true :

we must get and equation when we cross multiply fraction

18/48 = 27/72 cross multiply

72*18 = 27*48

1296 = 1296 the answer we are looking for is first option.

The measure of angle TUV is 48 degrees

To determine the angle TUV, we need to know the properties of a parallelogram.

These properties includes;

From the information given, we have that;

SRV = 48 degrees

But then,

SRV = TUV

Then, TUV = 48 degrees

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To convert cups to pounds, you can use the following conversion factor   1 cup = 0.5 pounds

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.

So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)

Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51

Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

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Answer:

its c)

Step-by-step explanation:

just looked it up

Answer:

1.5:1

Step-by-step explanation:

the original answer is 12:8, so you have to simplify it down. you can get it down to 3:2 with whole numbers, but to get it down to a ratio with one, you'll have to divide each number by 2 because the bottom number is 2, so the final answer would be 1.5:1

Answer:

y=\(\frac{400}{x}\)

Step-by-step explanation:

Answer: 400/x (over x} = Y {amount on each cookie}

Step-by-step explanation:

a. The area of the garden is 314m².

b. The number of boxes of grass Helen needs is 5 boxes.

c. My estimate for b is an underestimate.

A circle is a bounded object with points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius = diameter / 2 = 20m / 2 = 10m

3.14 x 10² = 314m²

Number of boxes needed to cover the garden = area of the garden / coverage of one box

314m² / 58m² = 5.14

5 boxes to one significant figure.

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a. The area of the garden is 314m².

b. The number of boxes of grass Helen needs is 5 boxes.

c. My estimate for b is an underestimate.

A circle is a bounded object with points from its center to its circumference that is circumferenced equidistant.

Area of a circle = πr²

Where : π = pi = 3.14

R = radius = diameter / 2 = 20m / 2 = 10m

3.14 x 10² = 314m²

Number of boxes needed to cover the garden = area of the garden / coverage of one box

314314m² / 58m² = 5.14

5 boxes to one significant figure.

Rocket need time of 30sec to fall back to the launch pad.

To determine the time it takes for the rocket to fall back to the launch pad, we can use the equations of motion for free fall.

We know that the acceleration due to gravity is -9.80 m/s² (negative because it acts in the opposite direction to the upward acceleration during the rocket's ascent). The initial velocity when the engines fail is the velocity the rocket had at that moment, which we can find by integrating the acceleration over time:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Integrating the acceleration gives:

v = -9.80t + C

We know that at t = 30.0 s, the velocity is 0 since the rocket begins free fall. Substituting these values into the equation, we can solve for C:

0 = -9.80(30.0) + C

C = 294

So the equation for the velocity becomes:

v = -9.80t + 294

To find the time it takes for the rocket to fall back to the launch pad, we set the velocity equal to 0 and solve for t:

0 = -9.80t + 294

9.80t = 294

t = 30.0 s

Therefore, the rocket will fall back to the launch pad 30.0 seconds after it was launched.

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If f(x) is a continuous function on a closed interval [a,b] then:

f(x) is riemann integrable on [a,b]

If a function's lower and higher integrals are identical, the function is said to be Riemann integrable. We define ∫baf(x)dx=L(f,a,b)=U(f,a,b)

Integrability Follows from Continuity: If a function f is integrable on [a,b], it follows that it is continuous on the closed interval [a.b]. The Definite Integral as a Region's Area If the closure has no negative values and f is continuous.

The existence of a number L R such that for each sampled partition that satisfies it holds that indicates that the function f: [a, b] R is Riemann integrable.

Hence we get the required answer.

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Answer:

the slope is 4/3

Step-by-step explanation:

so the equation of your problem would be y=4/3x-2

-2 is your y-intercept (or your b)

pls vote brainliest tyyy <3

Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

20

Step-by-step explanation:

If length of the base is x, then the other sides are 3x

so x + 3x + 3x = 140

7x = 140

x = 140/7 = 20

Answer:

No solution for x!!!!!!!!!

Answer:

There is no solution

Step-by-step explanation:

The critical value of z for a two-tailed test at 12.66% significance level is approximately ±1.88.

For a two-tailed test at 12.66% significance level, we need to find the critical value of z. Here are the steps to find the critical value:

1. Since it is a two-tailed test, we need to divide the significance level by 2. This is because the rejection region is distributed equally in both tails of the distribution. So, 12.66% ÷ 2 = 6.33%.

2. Now, we need to convert the percentage to a decimal: 6.33% = 0.0633.

3. Next, we need to find the z-score that corresponds to the given probability (0.0633) in the standard normal distribution table. To do this, look for the closest probability value to 0.0633 in the body of the table.

4. After finding the closest probability value, locate the corresponding z-score. For a two-tailed test, you will have both a positive and negative z-score, which are symmetric around the mean (0).

After following these steps, you will find that the critical value of z for a two-tailed test at 12.66% significance level is approximately ±1.88.

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Answer:

3.45782 x 10^4

Step-by-step explanation: