Graph the line that contains the point (-3,1) with a slope of 2/3

The equation of the line that passes through the points (4,6) and (-1,-14) is: y = 4x - 10

First, we need to use the coordinates of the two points on the line to find the slope of the line, which is given as m = change in y/change in x.

Next is to determine the y-intercept, y, then substitute the values of the variables, m and b into the equation, y = mx + b, which is expressed in slope-intercept form.

Given the points:

(4,6) and (-1,-14)

Slope (m) = change in y / change in x = (-14 - 6)/(-1 - 4)

Slope (m) = -20/-5

Slope (m) = 4

To find the value of the y-intercept, b, substitute (x, y) = (4, 6) and m = 4 into y = mx + b:

6 = 4(4) + b

6 = 16 + b

6 - 16 = b

-10 = b

b = -10

To write the equation of the line, substitute m = 4 and b = -10 into y = mx + b:

y = 4x - 10

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Answer:

if this is the image then the answer would be B.

Step-by-step explanation:

Answer:

The answer is 384.

Step-by-step explanation:

To find the surface area use this formula,

A = 6a² = 6 · 8² = 384

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

x ≤ 3

Step-by-step explanation:

\(\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}\)

Subtract 1/2 from both sides:

\(\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}\)

\(\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}\)

Multiply both sides by 4:

\(\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4\)

\(\implies -x \geq -3\)

Divide both sides by -1 (remembering to flip the sign):

\(\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}\)

\(\implies x \leq 3\)

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

what is normal distribution?

A normal distribution is a bell-shaped probability distribution that is symmetrical and characterized by its mean (μ) and standard deviation (σ). It is also known as a Gaussian distribution, after the mathematician Carl Friedrich Gauss.

However, for smaller sample sizes, the distribution of sample means may still resemble the shape of the population distribution.

Here are some more specific descriptions of the distribution of sample means for different population distributions:

1. Rectangular distribution: The distribution of sample means will approach a normal distribution as the sample size increases, with the mean and median at the center of the distribution.

2. Uniform distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, with the mean at the center of the distribution.

3. Normal distribution: The distribution of sample means will be a normal distribution regardless of sample size, with the mean and median at the center of the distribution.

4. Positively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be higher than the median.

5. Nonmodal distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the nonmodal distribution.

6. Multimodal distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the multimodal distribution.

7. Negatively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be lower than the median.

Therefore, central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

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The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

x = 16

measure of Arc(DE) = 167°

Step-by-step explanation:

Since the arc EFG make a straight angle, we can infer;

180° = Arc(EF) + Arc(FG)

180° = (x-3)° + (12x - 25)°

180° = 13x - 28

208 = 13x

16 = x

Arc GF and DE are vertical angles so if you find the measure of Arc GF then it's the same as measure of Arc DE

mDE = mGF

mDE = 12x - 25

mDE = 12(16) - 25

mDE = 192 - 25

mDE = 167°

Hope this helps!

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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Answer:

Step-by-step explanation:

In my opinion it's 2 apples

Simply take 38 ÷ 4 to get 36 then the two are the remainders

Answer:

He can fill 4 bags(of 8 apples each) and have 6 apples left

Step-by-step explanation

Answer:

2

Step-by-step explanation:

Because it goes up 1 and a half and over 1 which equals 2?

ok

lines

______________

The expression for a linear equation is

The slope-intercept form.

y = mx + b

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

y-intercept is (0, b)

_________________________________

line passes through the origin and the point (1,3).

y= mx

and

y = 3 when= 1

The table complete table that shows equivalent ratios is:

Toss     Dollars  

5             2

30           12

45           18

See image in the attachment that shows the points on a coordinate plane.

The ratios that give the same value when we compare them together are regarded as equivalent ratios.

For example, 2:3 is an equivalent ratio to 4:6, because 4/6 can be simplified as 2/3.

If it cost $12 to toss 30 rings, the ratio of dollars to number of toss would be: 12:30 = 2:5.

Let x = number of toss

Let y = amount in dollars

The equation that models the equivalent ratios can be written as y = 2/5x.

Therefore, when we have 2 dollars (y = 2):

2 = 2/5(x)

10 = 2x

10/2 = x

x = 5 toss

When we have 45 tosses (x = 45):

y = 2/5(45)

y = 18 dollars

The table of equivalent ratios would be:

Toss     Dollars  

5             2

30           12

45           18

The points, (5, 2), (30, 12), and (45, 18) are shown on the coordinate axes in the diagram below, where y = dollars, and x = toss.

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

Step-by-step explanation:

67001

The equivalent inequality to 7 > -3x > -12 is -7/3 < x < 4.

What is inequalities ?

In mathematics, inequalities are statements that describe the relationship between two values or expressions. An inequality uses mathematical symbols to indicate whether one value is greater than, less than, or equal to another value.

solution :

7 > -3x

-3x > -12

For the first inequality, we can start by isolating the variable x by dividing both sides by -3, but we need to flip the inequality sign since we are dividing by a negative number:

7/(-3) < x

-7/3 < x

For the second inequality, we can also divide both sides by -3, but we need to flip the inequality sign again:

-3x/(-3) < -12/(-3)

x > 4

Putting these two inequalities together, we get:

-7/3 < x < 4

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1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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Answer: 0.401294

Step-by-step explanation:

z=x-μ/σ

z=20-22/8

z=-0.25

the probability for this z-score is 0.401294.

Answer:

how would you want your answer

Answer: B. (12, 7)

Step-by-step explanation: If we substitute the x values in the equation the answer has to equal the y value of the coordinate. If we substitute 12 for the x we get y = 3. So answer B is the coordinate not represented by the student's graph.

Answer:

0.7857

Step-by-step explanation:

Given the following :

Number of Easy faces = 4

Number of challenging faces = 7

Number of extreme faces = 3

Total number of faces or route = (4 + 7 + 3) = 14

If one route is chosen at random, the probability of not choosing an extreme route will be :

Probability = (required outcome / Total possible outcomes)

P(not choosing an extreme route) = 1 - P(choosing an extreme route)

P(choosing an extreme route) = 3 / 14 = 0. 2143

Hence,

P(not choosing an extreme route) = 1 - 0.2143

= 0.7857

Answer:

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°