Describe, step-by-step how to find the slope of a line through two points

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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Answer:

x = 3

y = 0

Step-by-step explanation:

Rachel would end up with 12 chocolate bars.

Answer:

1 in 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just times the -5/1 by 3 on both sides and then

add both of the fraction numbers so you can get =

-20/3 in improper fraction or -18 2/3 in mixed number form

or the decimal = −6.66666666667 I hope this helps you, have a great day!

Hope this helps! <3

Answer:

a. +34 b. +46 c. +45 d. +31

Step-by-step explanation: use a number line

Answer: Rotation

Step-by-step explanation:

     If we look at the shapes, we can see that TSVU is rotated around point U into shape YWXU.

     Reflection means the point is directly reflected, like a mirror.

     Translation means the shape is moved in a direction (like up or down).

     Rotation means the shape is spun around, like a clock. Here, the shape is rotated.

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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In terms of total spending, the federal government spent approximately $411 billion on Medicaid in fiscal year 2020.

Medicaid is a joint federal-state program that provides healthcare coverage for low-income individuals and families, as well as people with disabilities. The federal government and the states share the cost of the program, with the federal government typically contributing a larger share.

As mentioned earlier, the federal government pays approximately 63% of Medicaid costs, while states pay approximately 37%. The exact percentages can vary depending on the state and the specific Medicaid program being implemented.

In terms of total spending, the federal government spent approximately $411 billion on Medicaid in fiscal year 2020. This includes both federal Medicaid spending and administrative costs associated with running the program.

It is worth noting that the cost of Medicaid can vary from year to year and can be affected by changes in policy and funding. For example, during the COVID-19 pandemic, the federal government provided additional funding to states to help cover the cost of Medicaid and other healthcare programs.

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The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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The graph is a dashed line, shaded area below the boundary line since y is less than (3/4)x + 1).

Given the inequality in the question;

-3x + 4y < 4

First, rearrange the inequality in slope-intercept form ( y = mx + b )by solving for y.

-3x + 4y < 4

4y < 3x + 4

Divide each term by 4

4y/4 < 3x/4 + 4/4

y < (3/4)x + 1

Now, compare to the slope-intercept form ( y = mx + b )

y < (3/4)x + 1

Slope m = 3/4

b = 1 which gives the y-intercept: ( 0,1 ).

Now, graph a dashed line, then shade the area below the boundary line since y is less than (3/4)x + 1 ( y < (3/4)x + 1 ).

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Answer:

y = -9x - 24

x = -27x - 84

Step-by-step explanation:

Answer:

\(\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}\)

Step-by-step explanation:

Given

Data:

\(29\ 30\ 29\)

\(29\ 31\ 28\)

\(28\ 31\ 28\)

Required

Construct a frequency table

From the given data, we have:

28 occurs 3 times

29 occurs 3 times

30 occurs 1 time

31 occur 2 times

Hence, the frequency table is:

\(\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}\)

Answer:

Hope it helps! follow me!  brainliest! Peace out!

Step-by-step explanation:

Cars:      months:

28           3

29           3

30           1

31            2

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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In order to check if the new industrial product is profitable, we need to determine if the mean of the advance orders (4 units) is greater than or equal to the required number of units per customer (4.2 units).

Industrial products are physical goods or services produced by industries. These products are used in the production of other goods or services.

We can use a one-sample t-test to determine if the difference in means is statistically significant at the 1% level. The null hypothesis for this test is that the mean of the sample is equal to the required number of units per customer (4.2 units).

The one-sample t-test yields a p-value of 0.73, which is greater than the 1% level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the sample is not significantly different from the required number of units per customer. As such, the new industrial product is likely to be profitable.

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The equation of parabola in vertex form is \(y=-3(x-3)^2+1\).

What is the vertex form of the parabola?

The equation of parabola in vertex form is as follows:

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

Here, (h,k) is the coordinate of vetex and a is the constant. From this form of parabola, vertex can be easily determined.

In the above equation, (h,k) is known and a can be determined by sustituting (2,-2) for (x,y).

Substitute (3,1) for (h,k) in the above equation.

\(y=a(x-3)^2+1\)               .. (1)

Since the point (2,-2) lies on the parabola hence, it must satisfy the above equation. Substitute (2,-2) in the above equation.

\(-2=a(2-3)^2+1\\-2=a+1\\a=-3\)

Now, substitute the value of a in equation (1).

\(y=-3(x-3)^2+1\)

Hence, the equation of parabola in vertex form is \(y=-3(x-3)^2+1\).

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The number of pounds that can be loaded on the elevator safely must be less than 600 pounds.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The number of pounds that can be safely loaded onto an elevator, x, can be represented by the inequality 2x <1,200.

Then the value of the x will be

2x < 1200

 x < 600

Then the number of pounds that can be loaded on the elevator safely must be less than 600 pounds.

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Answer:

The one in yellow is the answer.

Step-by-step explanation:

Hope this helped!

Answer: 75% of $13.50 is 10.125

Step-by-step explanation:

Answer:

10.125

Step-by-step explanation:

13.50 x .75 = 10.25

The molar solubility of silver chloride in the given solution is approximately 2.5 x 10⁻⁸ M (option B).

To calculate the molar solubility of silver chloride (AgCl) in the given solution, we need to use the solubility product constant (Ksp) and the stoichiometry of the reaction.

The balanced chemical equation for the dissolution of silver chloride is:

AgCl(s) ↔ Ag⁺(aq) + Cl⁻(aq)

The Ksp expression for this reaction is:

Ksp = [Ag⁺][Cl⁻]

Given that the concentration of silver nitrate (AgNO3) is 6.5 x 10⁻⁶ M, we can assume that the concentration of Ag⁺ ion is also 6.5 x 10⁻⁶ M, as AgNO3 dissociates completely in water.

Using the Ksp value of AgCl (1.6 x 10⁻¹⁰), we can rearrange the Ksp expression to solve for the concentration of Cl⁻ ion:

[Cl⁻] = Ksp / [Ag⁺]

Substituting the values:

\([Cl^-] = (1.6 * 10^{-10}) / (6.5 * 10^{-6})\)

\([Cl^-] = 2.46 * 10^{-5} M\)

The correct option is b.

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Answer:

Option 1 will give a better overall mileage.

Step-by-step explanation:

The husband and wife travel the same number of miles each week.

Let's say each one travels x miles in 1 week.

Let e = fuel economy in mpg

Let v = amount of fuel in gallons

Let d = distance in miles

e = d/v

ve = d

v = d/e

Before modifying cars:

Wife:

d = x

e = 13

v = d/e = x/13

Husband:

d = x

e = 65

v = d/e = x/65

Combined fuel they both use in 1 week:

x/13 + x/65 = 5x/65 + x/65 = 6x/65 = 0.0923x

Option 1:

Wife changes to:

d = x

e = 15

v = d/e = x/15

Husband remains the same.

Combined fuel they both use in 1 week:

x/15 + x/65 = 13x/195 + 3x/195 = 16x/195 = 0.08205x

Option 2:

Husband changes to:

d = x

e = 80

v = d/e = x/80

Wife remains the same.

Combined fuel they both use in 1 week:

x/13 + x/80 = 80x/1040 + 13x/1040 = 93x/1040 = 0.08942x

The total fuel used in 1 week by both in terms of the miles, x, driven by both are:

Original case: 0.0923x

Option 1: 0.08205x

Option 2: 0.08942x

The lowest amount of fuel is 0.08205x in option 1.

Answer: Option 1 will give a better overall mileage.

Answer:

J

Step-by-step explanation:

Since it says 30 each month, each being the keyword, we now can see what our x is. It states that the INITIAL payment, initial is only in the beginning so we now know what our b is, 50. Following the y=mx+b format we plug it in. y=30m+50      

Answer:

G ( i like ur pfp btw)

Answer:

\(d=\frac{2w(c-2)}{5} \)

Step-by-step explanation:

The given formula is:

c=5d+4w/2w

We need to find d.

Multiply 2w on both sides, we get

c x 2w= 5d+4w/2w x 2w

2cw=5d+4w

Adding -4w on both sides, we get

2cw-4w=5d+4w-4w.

2cw-4w=5d

2w(c-2)=5d

Dividing by 5, we get

2w(c-2)/5 = 5d/5

2w(c-2)/5 = d

Hence the required formula with subject d is

\(d=\frac{2w(c-2)}{5} \)

The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.

While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.

An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.

Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.

An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."

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The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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The required probability will 4/9 that is  probability that none of balls selected in the second draw has ever been used.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. By dividing the number of favorable outcomes by the total number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Here,

10 balls are never used.

One was used in previous draw.

So, the balls remaining=10-1

=9 balls

Now, 4 balls out of 9 balls will be selected.

The necessary probability is 4/9, which represents the likelihood that none of the balls chosen in the second draw have ever been used.

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The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

Answer:

11

Step-by-step explanation:

Plug in the variable into the equation. 7+4=11

Answer:

11

Step-by-step explanation:

a is 7 so 7 + 4 = 11

this should be the answer if not i dont know. sorry

Answer:A

Step-by-step explanation:

the y-intercept is when x-axis is 0 and that means that hours of jogging is 0 and the y-axis is 1 minunte

Answer:

The first option.

Step-by-step explanation:

The y-intercept is where the line crosses through the y-axis, which, in this case, would be at point (0, 1). The labeling on the left side shows what each number on the y-axis represents, and it would be minutes stretching when not jogging.

hope this helped! :)