Which graph represents the function y=2x-4

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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If the government sets a price ceiling at $8 in the figure you provided, it will create a deadweight loss equal to the area marked "Deadweight Loss" in the figure. This is because the price ceiling will prevent the market from reaching its equilibrium price and quantity, causing a reduction in the quantity of goods exchanged in the market and a corresponding reduction in economic surplus. The size of the deadweight loss will depend on the difference between the equilibrium price and the price ceiling, as well as the shape of the supply and demand curves.

To calculate the deadweight loss, you can use the formula: Deadweight Loss = (Equilibrium Quantity - Quantity Traded) * (Equilibrium Price - Price Ceiling). Using this formula, the deadweight loss in the figure you provided would be equal to the area of the trapezoid formed by the horizontal line at the price ceiling of $8, the demand curve, and the vertical lines at the equilibrium quantity and the quantity traded at the price ceiling.

It's worth noting that a price ceiling can have unintended consequences, such as creating shortages and encouraging black markets. It's also important to consider whether a price ceiling is an appropriate policy solution in a given market, as there may be other options for addressing any problems or concerns with the market.

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The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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Answer:

D

Step-by-step explanation:

The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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Answer: 106

Step-by-step explanation:

because there is 106 headphones 106 people can get and there is 16 blankets 156 people can get so 106 people can get headphones and blankets  

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

Answer:

Step-by-step explanation:

Answer is - 8/12
Because-
Andre took 6 kicks - Given.

He made 4 goal - also given

the fraction now will be = 4/6

Now he made 12 kicks.

So,

4/6 X 2/2 = 8/12

Hope it helped

Answer:

5346

Step-by-step explanation:

hi are u new the 63×7335

P(1.6,-2.9) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.

Let P(x,y) be the circumcentre of △LMN. Then,

PL = PM = PN

Also, PL² = PM² = PN²

PL² = PM²

(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²

(x-3)² + (y+6)² = (x-5)² + (y+3)²

x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9

4x + 6y = -11   ---- (1)

Also, PM² = PN²

(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²

(x-5)² + (y+3)² = (x-8)² + (y+6)²

x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36

6x - 6y = 27   ---- (2)

Solve (1) and (2) simultaneously by elimination:

6 × (4x + 6x = -11)

4 × (6x - 6y = 27)

24x + 36y = -66

24x - 24y = 108

subtract:

         60y = -174

         y = -174/60

         y = -2.9

Put y = -2.9 into (1):

4x + 6x = -11

4x + 6(-2.9) = -11

4x - 17.4 = -11

4x = 6.4

x = 1.6

Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)

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Answer:

504

Step-by-step explanation:

6 x 10 = 60 x 2 =120

6 x 12 = 72 x 2 = 144

10 x 12 = 120 × 2 = 240

120 + 144 + 240 = 504

this should be correct

Answer:39

Step-by-step explanation: yes

Answer:The following algorithmic calculation tool makes it easy to quickly discover ... E.g: 11,21,10,42,53 ... Mean = sum of values / N (number of values in set); Variance = ((n1- ... Population Standard Deviation = use N in the Variance denominator if ... for data set 1,8,-4,9,6 compute the SD and the population SD.

Step-by-step explanation:

Answer:

\(P(z>1.51) =1-P(Z<1.51)\)

And i fwe look into the normalstandar dtable we can find the desired probability:

\(P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655\)

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

\( P(z>1.51)\)

And for this case we can use the normal standard distribution and the complement rule and we have this:

\(P(z>1.51) =1-P(Z<1.51)\)

And i fwe look into the normalstandar dtable we can find the desired probability:

\(P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655\)

And then the The area to the right of z = 1.51 is 0.0655

The area to the right of z = 1.51 is 0.0655

The z-score or the standard score illustrates how far from the mean a data point is.

The z value is given as:

\(z = 1.51\)

The area to the right of the z-score is represented as:

\(P(Z > z)\)

Substitute 1.51 for z in the above expression

\(P(z > 1.51)\)

From z-score of probability, we have:

\(P(z > 1.51) =0.065522\)

Approximate

\(P(z > 1.51) =0.0655\)

This means that, the area to the right of z = 1.51 is 0.0655

See attachment for the sketch

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Answer:

Min - 42

Max - 99

M = 80

Q1 = 70

Q3 = 86

Step-by-step explanation:

The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the minimum, maximum, median, first quartile, and third quartile.

The word sentence is an equation:

y divided by 6.25 = 11.75

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given that,

an equation 11 3/4 is the quotient of a number y and 6 1 /4.

Since the quotient is:

The quotient is obtained after the process of division is completed. This means when a divisor divides a dividend, the answer that we get is the quotient. In other words, the quotient can be found using the formula, Dividend ÷ Divisor = Quotient.

In our case,

Dividend = y

Divisor = 6 + 0.25 = 6.25

Quotient = 11 + 0.75 = 11.75

Thus, the word sentence is an equation:

y divided by 6.25 = 11.75

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Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

\(y=log_{2}x^{3}.(5x^{4}+2)\)

We have to differentiate with respect to x.

y'=xy'+yx'

\(x=log_{2}x^{3}\)

\(y=5x^{4}+2\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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The resulting inequality equation in interval form is  (-∞, 19).

The range of values that might result in an inequality being true can be represented using interval notation.

There are two kinds of intervals, called open and closed (explained below), and each has a unique manner to notate it so we can distinguish between the two.

Given the inequality expression x < 19. This means that the interval must contain values that are less than 19 (19 excluded.)

The inequality x<19 as an unbounded interval is given as (-∞, 19).

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

\(6*\frac{32}{8}+7\)

Step-by-step explanation:

The required expression, six times the quotient of thirty-two and

eight, increased by seven, is given as x = 6(32/8) + 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the expression equal to x,
According to the question,
Six times the quotient of thirty-two = 6(32 /8)
Increased by seven = 6(32 /8) + 7
X = 6(32 /8) + 7

Thus, the required expression, six times the quotient of thirty-two and

eight, increased by seven, is given as x = 6(32/8) + 7.

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The two intersection points are found as x = -6 ± √(36 - (x - 2)^2).

The graphs of y = 1/2(x - 2)^2 + 3/2 and y = 2(x - 2)(x + 1) intersect at the points where the two functions have the same y-value.

We will set the two equations equal to each other and calculate for x, we find the intersection points:

1/2(x - 2)^2 + 3/2 = 2(x - 2)(x + 1)

1/2(x - 2)^2 + 3/2 = 2x^2 - 6x + 4

we subtract 3/2 from both sides and move all the terms to one side:

1/2(x - 2)^2 = 2x^2 - 6x + 1/2

1/2(x - 2)^2 - 2x^2 + 6x - 1/2 = 0

We will use the quadratic formula to solve for the polynomial eqaution:

x = (-6 ± √(6^2 - 4 * 1/2 * (1/2(x - 2)^2 - 1/2))) / (2 * 1/2)

x = (-6 ± √(36 - (x - 2)^2)) / 1

x = (-6 ± √(36 - x^2 + 4x - 4)) / 1

x = (-6 ± √(36 - x^2 + 4x - 4)) / 1

x = (-6 ± √(36 - (x^2 - 4x + 4))) / 1

x = (-6 ± √(36 - (x - 2)^2)) / 1

Therefore, the intersection points are: x = (-6 ± √(36 - (x - 2)^2)) / 1

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If Sanjay bought 14 T-shirts, he paid $133.

Given:

Equation=c = 9.5t

Number of T-shirt=14

Where:

c=Total cost

t=Number of T-shirts

Hence:

Total cost=9.5t

Total cost= 9.5(14)

Total cost=$133

Therefore If Sanjay bought 14 T-shirts, he paid $133.

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Both Amy and Laura increased their gas mileage in the first two weeks.

Option B is the correct answer.

The missing graph is attached with the answer.

A graph is a statistical way of showing data , it is used to show relation between the points.

A graph is useful in understanding the nature of a function.

From the data given in the question

The statements that can be concluded is , Option B

Both Amy and Laura increased their gas mileage in the first two weeks.

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Answer:

absolute value function

Step-by-step explanation:

Answer:

The function I(x) = x is called identity function

Solution:

\(\searrow\)

Detailed explanation:

Here we need to find both the circumference and the area of a circle whose diameter is 30 in.

///\\\///\\\///\\\///\\\///\\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\\////\\\\////\\\\///\\\///\\\///\\\///

                                   ⚜  Circumference ⚜

This is the formula that we use for the circumference. \(\large\texttt{$C=\pi d$}\).

Here, C is the circumference,

\(\pi\) is pi, *

d is the diameter

_____________

* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.

To avoid getting never-ending numbers, we will use 3.14 for pi.

_____________

Alright, so now we just stick in the values.

\(\boldsymbol{C=3.14\cdot30}\)

\(\boldsymbol{C=94.2\:inches}\)

The circumference is successfully calculated.

///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\\///\\\///\\\///\\\//\\//\/\/\/\//\///\\//

                                            ⚜ Area ⚜

This is the formula we will use to work out the area.

\(---\mapsto\boldsymbol{A=\pi r^2}\)

Here,

A denotes the area

\(\pi\) denotes pi

r denotes the radius (30/2=15, because the diameter is always two times the radius)

\(\large\boldsymbol{\therefore,\;the\;radius\;is\;15}\)

Once again, it's just a matter of sticking in the values.

\(---\mapsto\boldsymbol{A=3.14\cdot15^2}\)

Remember the Order of Operations!

P.E.M.D.A.S.

P=Parentheses

This operation tells us to evaluate all expressions in the parentheses first, if any are present.

E=Exponents

This one tells us to evaluate all expressions with exponents, if any are present.

M=Multiplication | D=Division

Unlike the two operations above, these two are completely interchangeable.

A=Addition | S=Subtraction

Like M and D, A and S are interchangeable.

_________________

Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.

\(---\mapsto\boldsymbol{A=3.14\cdot225}\)

Now, we need to multiply.

\(---\mapsto\boldsymbol{A=706.5\;square\;inches}\)