solve for angle w please

The equation of the line that is parallel to y = 1/5(x + 4) is y = 1/5x + 37/5 or y = 1/5(x + 37). The graph is shown below.

Recall that when two lines are parallel to each other, they will have the same slope (m), and each can be expressed in slope-intercept form as y = mx + b.

Given the line, y = 1/5(x + 4), which can be rewritten as y = 1/5x + 4/5, the slope (m) = 1/5.

Substitute m = 1/5 and (x, y) = (3, 8) into y = mx + b:

8 = 1/5(3) + b

8 = 3/5 + b

8 - 3/5 = b

37/5 = b

b = 37/5

To write the equation of the parallel line, substitute m = 1/5 and b = 37/5 into y = mx + b:

y = 1/5x + 37/5

The graph of the lines are shown below.

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A quadratic function is one that has the formula f(x) = ax² + bx + c, where a, b, and c are all integers with a not equal to zero.

To choose the parabola equation that best fits a collection of data, a statistical method known as quadratic regression is performed. To get the equation of the straight line that best fits a collection of data, this sort of regression is an extension of simple linear regression.

Using a collection of data with a parabola-like form, quadratic regression seeks the best-fitting equation. Making a scatter plot is the initial stage in regression.

A quadratic function is one that has the formula f(x) = ax² + bx + c, where a, b, and c are all integers with a not equal to zero. A parabola is the shape that makes up the graph of a quadratic function. If a parabola opens up.

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The range of values that we are permitted to enter into our function is known as the domain of a function.

The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range.

The entire range of independent variable values that can exist is referred to as a function's domain.

Let y = f(x) represent a function where x and y are independent variables. The chosen x-value is said to fall within the domain of f if a function f offers a means of effectively producing a single value y while using a value for x to that end.

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a) The angular speed is  1633 rad/min.

b) The speed is  1715 feet per minute.

We know that the angular speed would have to do with the speed with the object would move through a circular path. Let us note that in this case we have that the wheels turn at a rate of 260 revolutions per minute.

Now;

1 rev/min = 6.28 rad/min

260 revolutions per minute = 260 * 6.28/1

= 1633 rad/min

Given that;

v = rω

v = linear speed

r = radius

ω = angular speed

v = 1.05 feet *  1633 rad/min

v = 1715 feet per minute.

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35% discount.

To calculate the price after the 35% discount is applied, you would multiply $275.00 by 0.35, which would give you $96.25. Then you would subtract that amount from $275.00, so the final price would be $178.75.

To calculate the price after the 25% and 10% discounts are applied, you would first multiply $275.00 by 0.25, which would give you $68.75. Then you would subtract that amount from $275.00, leaving you with $206.25. Next, you would multiply $206.25 by 0.10, which would give you $20.625. You would then subtract that amount from $206.25, so the final price would be $185.625

In this case, the 35% discount would save the customer $96.25 and the series of discounts would save the customer $89.375. So the better deal is the 35% discount

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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There are 2 possible ways for Juan to pick exactly one purple counter.

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

We have two tasks from the question which are:

picking one purple counter from Box A and picking one purple counter from Box B.

To find the number of ways to pick one purple counter from Box A, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of counters in the box and r is the number of purple counters in the box.

we know that there are only green and purple counters in Box A, and since Juan wants to pick one purple counter, we can assume that there is one purple counter in the box.

so, the number of ways to pick one purple counter from Box A = 1.

Similarly, to find the number of ways to pick one purple counter from Box B

we know that there are green, purple and orange counters in Box B, and since Juan wants to pick one purple counter, we can assume that there are two purple counters in the box.

so, the number of ways to pick one purple counter from Box B = ²C₁ = 2.

Now, using the multiplication principle, we can find the total number of ways for Juan to pick exactly one purple counter:

1 x 2 = 2

Therefore, there are 2 possible ways for Juan to pick exactly one purple counter using the multiplication principle of counting

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The measure of the side b in the right triangle ABC is 8 units.

A right triangle is a triangle with one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees. The triangle ABC is a right angle triangle because it has one angle as 90 degrees.

Therefore, the side b can be found using trigonometric ratios.

Hence,

tan 45° = opposite / adjacent

tan 45° = b / a

tan 45° = b / 8

cross multiply

b = 8 tan 45°

b = 8 × 1

b = 8

Therefore,

length of b = 8 units.

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The measure of the given angles are -

m∠1 = 80°

m∠2 = 10°

Two angles are called complementary when their measures add to 90 degrees.

Given is a complementary angles pair as shown.

We can write -

∠1 + ∠2 = 90

x + (11x - 30) = 90

12x - 30 = 90

12x = 120

x = 10

m∠1 = 11x - 30 = 11 x 10 - 30 = 110 - 30 = 80°.

m∠1 = 80°

m∠2 = x = 10°.

m∠2 = 10°

Therefore, the measure of the given angles are -

m∠1 = 80°

m∠2 = 10°

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0.45 names come to graduation.

Let's review the information given to us to answer the question correctly:

Rate of ceremony was observed was 66 feet, and 30 feet deep on both sides.

x = Number of feet both side

x + 30 =come to graduation

Solving for x:

66* (x + 30) = 30x/66

=0.45

x=0.45

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The ratio of 50 hours to 30 hours is 1.33 hours.

What is ratio ?

ratio can be defined as the given value divided by the total value, called as the ratio.

Given ,

To find the ratio of 50 hours to 30 hours

let ratio of x to y is x/ y

similarly,

ratio = 50/30

ratio = 5/3

ratio = 1.33 hours.

in terms of minutes it is = (5/3) * 60

number of minutes = 100 minutes

so the ratio of 50 hours to 30 hours in terms of minutes = 100 minutes

Hence, The ratio of 50 hours to 30 hours is 1.33 hours.

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Philip should consider grilling hamburgers and hotdogs as the main options for the picnic.

Based on the survey results, it appears that the most popular food choices among those surveyed are hamburgers and hotdogs. The survey results show that 5 out of 10 people selected hamburger as their preferred food choice, and 2 out of 10 people selected hotdogs.

Chicken hamburger was also mentioned once. It is unclear from the given information what "brought" or "worst" refer to, as they are not specific food items.

In , Philip should put a lot of thought into the menu, the timing, the preparation and the safety aspects of the grilling to make sure that the picnic is a success and that everyone is happy with the food.

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Answer: To find out how many pieces of yarn Melissa can make, we need to divide the total length of the yarn by the length of each individual piece.

If the piece of yarn is 12.42 centimeters long and she wants to make pieces that are 0.54 centimeters long, we can use the following formula:

Number of pieces = Total length of yarn / Length of each piece

Number of pieces = 12.42 / 0.54

Number of pieces = 23.03 pieces

Melissa can make 23 pieces of yarn with a length of 0.54 centimeters each from the 12.42 centimeters long yarn.

Step-by-step explanation:

Answer: No

Step-by-step explanation:

No, the student is not correct because you can still combine the 6x and the 2x, which gets you to 8x + 1 as the most simplified form.

Answer:

Triangle NML

Step-by-step explanation:

Use the corresponding angles in the order they are stated and do the same for the other side. N corresponds to N on the other triangle. P corresponds to M on the other triangle, and Q corresponds to L on the other triangle. Now just say it as Triangle NML

If you still have any questions don't hesitate to ask!

Answer: YESS

Step-by-step explanation: HOW DO WE HAVE THE SAME NAME? AND KOKUSHIBO IS THE UPPER MOON 1 DEMON I HAVE HIM AS MY PFP

Answer: Upper Moon 1

The second to strongest demon (technically third from Tanjiro.) Is the twin brother of Yoriichi.

correct option: C and E. This is based on the inequality expression.

Despite the equals sign being substituted by an arrowhead, the formula 5x + 4 > 2x + 3 resembles an equation. This inequity is exemplified by it. This shows that the left component, 5x + 4, is bigger than the right part, 2x + 3, according to the equation. Finding the x variables in which the inequality holds true is what we are interested in.

An algebraic expression that has two values that are not equal is represented as an inequality in mathematics. One of the two variables on the two sides of the inequality can be represented by an inequality sign as greater than, more than or equal to, less than, or equal to another value.

Given that,

3/5 < x < 125%

= 0.6 < x < 1.25

now, come to the options

A. 7/5 = 1.4

Thus, it is not make the following statement true.

B. 1.3

Thus, it is not make the following statement true.

C. 0.8

Thus, it is make the following statement true: 0.6 < 0.8 < 1.25

D. 35% = 0.35

Thus, it is not make the following statement true.

E. 1.20

Thus, it is make the following statement true: 0.6 < 1.20 < 1.25

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On solving the provided question we cans ay that addition equation that will have a proof drawing with a new ten and a new hundred -  10x +100x + 1000x+ 10000+ 100000x+ ...= 0

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

addition equation that will have a proof drawing with a new ten and a new hundred -

10x +100x + 1000x+ 10000+ 100000x+ ...= 0

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This x = −8 value of x is included in x < 7.

What is the number line?

A number line is a type of line that can be used to show the positions of all numbers. It has two ends which start with -∞, and stops at +∞. A directed number is a number that is either negative or positive. Thus all directed numbers can be located on the number line.

The Real number line is just a number line. The point associated with the real number line is called the coordinate.

The number “0” represents the origin. All the positive numbers are represented on the right side of the origin, whereas all the negative numbers are represented on the left side of the origin.

The solution set x < 7 means all the values of x that are less than 7.

On a number line, all the values to the left of 7, including negative numbers and 7 itself are not included, are the solutions of the inequality x < 7.

Hence, This x = −8 value of x is included in x < 7.

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Answer:

Step-by-step explanation:

Find 15 percent of 81.95 and add it to that.

The answer is 94.24 rounded.

Answer:

To solve this problem, we need to use the concept of scale factor. The scale factor tells us how much larger or smaller an image is compared to the original image. In this case, the scale factor is 7/6, which means that the new image will be 7/6 times larger than the original image.

We can use the scale factor to find the dimensions of the new image. To do this, we simply multiply the dimensions of the original image by the scale factor.

Original dimensions: 24 cm x 12 cm

New dimensions: (24 cm x 7/6) x (12 cm x 7/6) = 28 cm x 14 cm

So, the dimensions of the photograph after it is sent through the photocopier are length 28 cm and width 14 cm.

Therefore, the correct answer is length 28 cm, width 14 cm.

the given sides WX = XY.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

In given ΔXWZ AND XYZ

xz IS common

∠XZW = ∠XZY

ZW=ZY

So, the ΔXWZ and ΔXYZ are congurant.

Hence, the given sides WX = XY.

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Answer:24

Step-by-step explanation:

75 percent *32

= (75/100)*32

= (75*32)/100

= 2400/100 = 24

Now we have: 75 percent of 32 = 24

The entire expenditures for both children and adults are modelled using graphs and formulae. y = 1.25x + 10 y = 0.75x + 5 a.

The equation C(x)=mx+b represents a linear cost function, where mx stands for the variable cost, b for the fixed cost, and m for the marginal cost.

Admission is $10 for adults, and ride tickets cost $1.25; the line's a y-intercept value is 104.

Admission is $5 for children, and ride tickets cost $0.75 each. When X=0,Y=5, the line b's y-intercept is 54.

When X=20 for a child, y=0.75.20+5=20.

It crosses line 20 and 20.

When X=20 and Y=1.25, 20+10 equals 35 for an adult.

Line an is passed at (20, 35).

A linear model is described by the equation y=mx+b. The y denotes the result, the m denotes the rate of change, the x denotes the input, and the b denotes the constant.

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Two parallel lines, known as axes—pronounced "ax-eez"—in a coordinate grid are labeled as number lines. Usually referred to as the x-axis, the horizontal axis. Commonly known as the y-axis, the vertical axis.

The Complete Question.

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According to the lowest percentages available, 1/3 of people surveyed plant gardens.

Explanation:

891/297  = 3.

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The count of numbers which would be written from 30 to 36 with both numbers inclusive is infinite.

It follows from the task content that the total count of numbers from 30 to 65 including both numbers is to be determined.

By careful consideration, the numbers which fall between 30 and 65 on the number line are not limited to integers and hence, the count of all numbers between 30 and 65 as required is infinite.

However, if only integers (whole numbers) are to be considered, it follows that the count of all numbers from 30 to 65 including 30 and 65 is; 36.

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The required expression for the change in temperature would be final temperature = -39.1 - 72.3.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The temperature of water initially is = 72.3°F

The temperature of water after adding ice cubes is = -39.1°

To find the final temperature use the expression -

Final temperature = change in temperature - initial temperature -

Final temperature = -39.1 - 72.3

Rewriting as a sum = -39.1 + (-72.3)

-39.1 + (-72.3)

-39.1 - 72.3

-111.4

Therefore, the change in temperature is = -111.4°F.

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