Find the equation of the line passing through (1, 5) and parallel to y = 3x – 1.
(20 POINTS!!!!!!!! SHOW YOUR WORK PLEASE!!!!)

Answer: She runs 8m per second.

Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

3 = 95, 4 = 85, if a and b are parallel

Step-by-step explanation:

Answer:

<3=95

<4=85

Step-by-step explanation:

<3 is 95 because it matches the other angle because of parallel angles. the other angle is supplementary, so 180-95=85

The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator.

here, we have,

from the given diagram we get,

1.  fraction underneath the seashell is 1/3

2.  fraction underneath the seashell is 1/4

3.  fraction underneath the seashell is 1/2

4.  fraction underneath the seashell is 1/4

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The amount of cars you need to break even is 5.

To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.

Let's denote the number of cars as x.

Revenue = Number of cars × Price per wash

= x × $10

Total cost = Cost per car × Number of cars + One-time cost

= $3x + $35

To break even, the revenue should be equal to the total cost:

x × $10 = $3x + $35

Now, let's solve this equation to find the value of x:

10x = 3x + 35

Subtract 3x from both sides:

10x - 3x = 3x + 35 - 3x

7x = 35

Divide both sides by 7:

x = 35 / 7

x = 5

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The polynomial, f(x) = x² + 4·x - 1, has a value of -5 when x = -2

A polynomial consists of terms comprising of variables and numbers with positive integer indices with operations including additions, subtractions, multiplications.

The specified polynomial is f(x) = x² + 4·x - 1

The point at which the polynomial is evaluated is; x = -2

The value of the specified polynomial at x = -2 is therefore;

f(-2) = (2)² + 4 × (-2) - 1 = -5

The polynomial can also be evaluated by graphing polynomial and finding the point of intersection of the line x = -2 and the graph of the polynomial as follows;

The attached graph created with MS Excel, indicates that at the point x = -2 (represented by the point where the vertical line, x = -2, intersects the polynomial, x² + 4·x - 1) is the point where, f(x) = -5

The value of the polynomial, f(x) = x² + 4·x - 1, when x = -2 is -5.

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Answer:

\(\displaystyle \frac{\pi}{6}\)

Explanation:

According to the unit circle, \(\displaystyle \frac{\pi}{3}\) and \(\displaystyle \frac{\pi}{6}\) are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:

\(\displaystyle \boxed{\frac{\pi}{3}} = \frac{\pi}{3} - \frac{\pi}{6}\)

I am joyous to assist you at any time.

Answer: B

Step-by-step explanation: its B

i did this before

Answer:

the answer is a. 3,4

Step-by-step explanation:

From the dot plot in this problem, we have that there are 12 dogs in the shelter, with a typical weight of 50 pounds, which is the median of the data-set.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

The dot plot shows how many times each weight was observed, hence the number of dogs in the shelter is given as follows:

12.

The median is the mean of the 6th and 7th elements, in an increasing way, which are both 50, hence it is aso of 50 pounds, representing the typical weight of a dog.

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The function whose graph is given is y = sin (x - 2).

Option B is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of y = sin(x - 2) is a sinusoidal function that is shifted 2 units to the right from the standard sine function y = sin(x).

The sine function oscillates between -1 and 1 as x increases, and the value of x at which the function reaches its minimum or maximum value is a multiple of π.

When we subtract 2 from x in the equation y = sin(x - 2), the entire graph is shifted to the right by 2 units, which means that the minimum and maximum points occur at x-values that are 2 units greater than they would be for the standard sine function.

The graph of y = sin(x - a) is a sinusoidal function that is shifted a units to the right from the standard sine function.

So, in this case, the graph of y = sin(x-2) looks like the standard sine function shifted 2 units to the right.

The amplitude and period of the function remain the same as the standard sine function, but the phase shift changes.

Thus,

The function whose graph is given is y = sin (x - 2).

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The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer:

(1/5)x + 7 ≤ 11

Subtract 7 from both sides to isolate x:

(1/5)x ≤ 4

Multiply by 5 to cancel the fraction (both sides):

(5/5) x ≤ 4(5)

x ≤ 20

a) The initial height of the football at t = 0 is 2 feet.

b) The ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball is approximately 23.9 feet.

d) It takes approximately 4.579 seconds for the ball to hit the ground.

a) The initial height of the football at time t = 0 can be found by substituting t = 0 into the equation \(5t^2 + 20.5t + 2:h = -5(0)^2 + 20.5(0) + 2 = 0 + 0 + 2 = 2\)

Therefore, the initial height of the football is 2 feet.

b) To find the time at which the ball reaches its maximum height, we can observe the graph of the equation h = \(-5t^2 + 20.5t + 2.\) The maximum height corresponds to the vertex of the parabolic graph. The t-coordinate of the vertex can be calculated using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation.

In this case, a = -5 and b = 20.5. Plugging these values into the formula, we get:

\(t = -20.5 / (2\times (-5)) = -20.5 / -10 = 2.05\)

Therefore, the ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball can be found by substituting the time t = 2.05 into the equation \(h = -5t^2 + 20.5t + 2:\)

h = -5(2.05)^2 + 20.5(2.05) + 2 ≈ -20.125 + 42.025 + 2 ≈ 23.9

Therefore, the maximum height of the ball is approximately 23.9 feet.

d) To find the time it takes for the ball to hit the ground, we need to determine when the height h becomes zero. We can set the equation \(-5t^2 + 20.5t + 2 = 0\) and solve for t.

This quadratic equation can be solved using factoring, the quadratic formula, or by graphing. The solutions are t ≈ -0.179 and t ≈ 4.579. Since time cannot be negative in this context, the ball takes approximately 4.579 seconds to hit the ground.

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Answer:

Step-by-step explanation:

Solve for x and graph the solution on the number line below

9 > x − 3

add 3 to both sides:

9 + 3 > x − 3 + 3

12 > x

so: (12, ∞)

___-4__-2__0__2__4__6__8__10__(12__13__`14__16______

Answer:

23/4

Step-by-step explanation:

you keep the 4 were it is at. Then you multiply 4 and 5 which is 20. then you add 3 by 20.

It should be noted that experimental probability is based on past observations and might not accurately predict future events.

It has been established that experimental probability is based on past observations or on historical data.

To determine the experimental probability of the high temperature being over 75 degrees on June 23rd, one would basically gather historical data of high temperatures on June 23rd from previous years. Then, one would calculate the proportion of times the temperature was over 75 degrees.

For example, if one had data for the past 10 years and on 7 of those years the temperature was over 75 degrees on June 23rd, the experimental probability would be 7/10 or 0.7 (or 70%).

Therefore, it's always a good idea to consult meteorological sources or weather forecasts for the most up-to-date and accurate information.

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The measures of the angles or arcs are 80, 75, 98 and 113 degrees

Figure 1

Here, we have

Opposite angles of cyclic quadrilateral are supplementary

So, we have

Angle opposite 100 = 80

Next, we have

2? = 360 - 100 - 100 -- sum of angles in a cyclic quadrilateral is 360

2? = 160

So, we have

? = 80

Figure 2

Here, we have

? = 1/2 * (360 - 90 - 120)

? = 75

Figure 3

Here, we have

? = 1/2 * (360 - 93 - 71)

? = 98

Figure 4

In this case, we use adjacent angles are congruent

So, we have

? = 113

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Answer:

2/3

Step-by-step explanation:

To find the slope of a graph, pick two points on the line, and then identify how far it moves on the x and y axis to get to the next point. In this case we have (-2,0) and (1,2)

Answer:

392

Step-by-step explanation:

it will take around 37 weeks for Javier and caroline to have the same amount of money saved up.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that caroline has $222 in her piggy bank. she adds $10 a week to her savings. Javier has $148 in his piggy bank and adds $12 a week to his savings.

Let's assume that the number of the weeks will be x. Now form the mathematical expression.

Caroline = 10x + 222

Javier = 12x + 148

Equate both the expressions to get the value of x:-

10x + 222 = 12x +148

12x - 10x = 222 - 148

2x = 74

x = 74 / 2

x = 37

Therefore, it will take around 37 weeks for Javier and caroline to have the same amount of money saved up.

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

x = -8/5

Step-by-step explanation:

X/3 + 1 = 7/15

Subtract 1 from each side

X/3 + 1 -1= 7/15-1

x/3 = 7/15-1

Get a common denominator for the right side

x/3 = 7/15 - 15/15

x/3 = -8/15

Multiply each side by 3

x/3 * 3 = -8/15 *3

x = -8/5

Answer:

- 8/5

Step-by-step explanation:

x/3 + 1 = 7/15

x/3 + 1/1 = 7/15

x/3 = 7/15 - 1/1

x/3 = 7/15 - 15/15

x/3 = - 8/15

x = - 8/15 × 3

x = - 24/15

x = - 8/5

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

b) more than two ties are too tight

Step-by-step explanation:

20% of 15

15 = 100%

x = 20%

100x = 15 * 20

x = 300/100

x = 3

ps: I always wear my tie loose at any circumstance, guess I'll never be a good businessman with reduced blood flow to the brain =/