what is m for y = 7x - 17

Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

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Answer:

[tex]v=-18,14[/tex]

Step-by-step explanation:

[tex]2|v+2|-41=-9\\2|v+2|=32\\|v+2|=16\\\\v+2=16\\v=14\\\\v+2=-16\\v=-18[/tex]

The measure of angle MAC is 90°.

What is means of isosceles triangle?

An isosceles triangle is a type of triangle where two of its sides are congruent, or have the same length. This means that if you draw a line down the center of an isosceles triangle, it will split the triangle in half and both halves will have the same side lengths.

In an isosceles triangle, the angles opposite the congruent sides are congruent. Therefore, in triangle ABC, m∠BAM = m∠CAB = m∠NAC.

Since angle BAM and angle NAC are congruent, and they are both supplementary to angle MAC, it follows that angle MAC is congruent to itself.

Therefore, m∠MAC = m∠MAC = 180 - m∠BAM = 180 - m∠NAC.

Since m∠BAM = m∠NAC, we can conclude that

m∠MAC = 180 - m∠NAC = 90°

Hence, the measure of angle MAC is 90°.

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Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

Answer:

22

Step-by-step explanation:

34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too

Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

Food items manufactured from (or containing) milk are referred to as dairy products or milk products (also known as lacticinia).

The cow, water buffalo, nanny goat, and ewe are the most popular dairy animals.

Dairy products include staples from Western grocery stores including yogurt, cheese, and butter.

A dairy is a place where dairy products are made .Various amounts of dairy products are consumed worldwide (see consumption patterns worldwide) .

After standardizing the fat content and optional homogenization or pasteurization, milk is produced in a variety of grades with the potential addition of the microorganisms Streptococcus lactis and Leuconostoc citrovorum.

Based on the type of product generated, milk can be divided into a number of distinct categories, including cream, butter, cheese, newborn formula, and yogurt.

Hence, Three glasses of milk or dairy products per day are recommended for adults. One serving of milk is one cup. According to the USDA, a serving of milk-based goods is the amount that corresponds to one cup of milk.

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Answer:

[tex]21x \: - \frac{1}{3} \\ 3[/tex]

The sales manager should allocate approximately 341311.111 for advertising in the budget.

Generally, Advertising expenditure refers to the amount of money that a company or organization spends on promoting their products or services through various forms of advertising media, such as television, radio, print, and online.

This can include costs for creating and producing advertisements, as well as fees for placing them on different platforms. Advertising expenditure can also be referred to as "advertising budget" or "advertising spend."

To find the advertising expenditure needed to reach a target sales volume of $200,000, we can use the equation provided: Estimated Sales Volume = 46.41 + 0.45(Advertising Expenditures)

We can set the target sales volume as the left-hand side of the equation and solve for the advertising expenditure:

200,000 = 46.41 + 0.45(Advertising Expenditures)

Subtracting 46.41 from both sides:

153,590 = 0.45(Advertising Expenditures)

To find the Advertising Expenditures, divide 153,590 by 0.45:

Advertising Expenditures = 341311.111

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Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

On solving the provided question, we can say that random samples  range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Scores range from 5 to 20. Matt's research design could best be classified as a(n): students at Northeastern High School

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The answer is On a negatively skewed curve ,The mean is lower than the median, which is lower than the mode

When a distribution is negatively skewed in statistics, more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

A longer or fatter tail on the left side of the distribution is referred to as negative skew, whereas a longer or fatter tail on the right is referred to as positive skew. The direction or weight of the distribution is indicated by these two skews.

Mode > Median > Mean.

When the long tail is on the distribution's left side, the distribution is said to be left skewed. They are also referred to as negatively skewed by statisticians. Probabilities taper off more slowly for decreasing values, which causes this circumstance.

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Answer:

x = -8 (10

Step-by-step explanation:

x (x + 16) = -64

-8(10 + 16) = -64

-80 + 16 = -64

-64 = -64

The measure of angle B is, 67°.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Interior angles are,

⇒ ∠ C = 83°

⇒ ∠ B = 6x + 7

An exterior angle is,

⇒ ∠ A = 15x

Now, We know that;

The sum of two interior angles in a triangle is equal to the exterior angle in a triangle.

⇒ 83° + 6x + 7 = 15x

⇒ 90 = 15x - 6x

⇒ 90 = 9x

⇒ x = 10

Thus, The measure of B is,

⇒ m ∠B = 6x + 7

             = 6×10 + 7

             = 60 + 7

             = 67

⇒ m ∠B =  67

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Answer:

the value is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

The scale factor of the image is 1/4 or 0.25.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

To solve this question, use the coordinates of WX and W'X' as points of reference.

From the diagram, it can be obtained that -

W(-8,8) and X(8,0)

W'(-2,2) and X'(2,0)

First, calculate distance for WX -

Distance formula is -

d = √(x2-x1)^2+(y2-y1)^2

Distance for WX -

d1 = √(8+8)^2+(0-8)^2

d1 = √(16)^2+(-8)^2

d1 = √256+64

d1 = √320

d1 = 17.88

Distance for W'X' -

d2 = √(2+2)^2+(0-2)^2

d2 = √(4)^2+(-2)^2

d2 = √16+4

d2 = √20

The scale factor is then calculated using -

Scale = W'X'/WX

Scale = d2/d1

Substitute values of d1 and d2 -

Scale =√20/√320

Scale = √(20/320)

Scale = √1/16

Scale = 1/4

Therefore, the scale value is 0.25.

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On solving the provided question we can say that - the domain of the function f(x) = [tex]sinx(e^{-x})[/tex] will be  = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

so, we have

f(x) = [tex]sinx(e^{-x})[/tex]  

the domain = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )

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Answer:

y- intercept = 0

Step-by-step explanation:

the linear function can be expressed in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁ , y₁ ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-(-4)}{-2-4}[/tex] = [tex]\frac{2+4}{-6}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1

the line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - x + 0, that is

y = - x ←  is the linear function defining the ordered pairs in the table

Answer: 3x-y=8

Step-by-step explanation:

The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.

The volume of a rectangular block is gotten from the formula;

Volume = length * width * height

Now, we are given;

Width = 4 cm

Length = 4 cm

Height = 8 cm

Thus;

Volume of block = 4 * 4 * 8

= 128 cm³

Now, if you are cutting the block into 2 exactly equal halves, then you can say that;

New length = 4/2 = 2cm

Thus;

Volume of cut block = 2 * 4 * 8

= 64 cm²

This is concluded to be half of the original block.

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The length of jump by Pythagoras = 25 units

The length of jump by Newton = 29 units

The length of jump by Fermat = 20 units

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the length of the jump by Pythagoras be P

Let the length of the jump by Newton be N

Let the length of the jump by Fermat be F

Now , the equation will be

The total number of steps = 120 steps

The number of jumps by Pythagoras = 5 jumps

The number of steps overshoot by Pythagoras = 5 steps

So , P ( 5 ) - 5 = 120   be equation (1)

On simplifying the equation , we get

Adding 5 on both sides of the equation , we get

5P = 125

Divide by 5 on both sides of the equation , we get

P = 25 units

The number of jumps by Newton = 4 jumps

The number of steps fell short by Newton = 4 steps

So , N ( 4 ) + 4 = 120   be equation (2)

On simplifying the equation , we get

Subtracting 4 on both sides of the equation , we get

4N = 116

Divide by 4 on both sides of the equation , we get

N = 29 units

The number of jumps by Fermat = 6 jumps

So , F ( 6 ) = 120   be equation (2)

On simplifying the equation , we get

Divide by 6 on both sides of the equation , we get

F = 20 units

Therefore , the value of P , N and F are 25 , 29 and 20 units respectively

Hence , the length of each jump is 25 , 29 and 20 units

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A quadratic polynomial does not cross the x axis at any point since it has no zeros.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

x^2 - 2x +  5 when compared with the standard form of the quadratic equation, a = 1, b=- 2, c=5

Value of the discriminant =b^2 - 4 ac                                    

= (-2)2 - 4(1) (5)= 4 - 20                                    

= - 15

The value of the discriminant is negative i.e less than zero.

Hence, the quadratic equation x^2 - 2x +  5 has no real zeroes.

Since a quadratic polynomial may only have two real roots, the number of times the graph will cross the x-axis at most is two, and at least zero when there are no roots in the equation.

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On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here

angle JMP = 3x-6 - 90

3x = 84

x = 28

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On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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Answer:

Step-by-step explanation:

Depreciation means wearing and tearing in the value of an asset over the years

(a) Given:

p = initial value of an asset

i% = depreciation per year

n = number of years

Depreciation after n years (d) = [tex]p(1-\frac{1}{100} )^{n}[/tex]

Value of machine after n years = p-d

(b) Given:

p = RM100000

i% = 5

n = 10
Depreciation after 10 years = [tex]100000(1-\frac{5}{100} )^{10} = 59873.69392[/tex]

Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608

Value of machine after 10 years to nearest ringgit = RM40123

6=3

6÷3

2 is the required answer for this question

The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

The expressions are mainly of 4 types that includes:

Let the width be w.

So, length of rectangle will be w+2

Now, area of rectangle is length*width

Area= (w+2)*w

= w^2+2w

Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.

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Answer:

18.4 kg of clay

Step-by-step explanation:

92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student

Answer: 18.4 kg

Step-by-step explanation:

DATA :

total mass of clay = 92 kg

total students = 5

how much clay does each student get?

SOLUTION:

assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.

⇒92 ÷ 5

⇒18.4 kg ANSWER

hope that helps...

Answer:

he will hike approximately 6 days

Answer: 80% rent or 72 students

Step-by-step explanation:

20 percent of 90 is 18

So 18 kids own instruments

100-20=80%

So 80% of kids do rent instruments

Or

18x4= 72 kids rent