HELP SOLVE I AM BEING TIMED

Answer: Although I am not 100% sure, I would think the domain 2<x<6  (x being the domain and the point must be on the line) although for these signs they would be "or equal" to. The range would be 6<y<18  (y being the range and once again the point must be on the line) with "or equal" to signs.

Step-by-step explanation:

This is because since there are no concrete points, other than the two ends of this (piecewise?) function, you would have to set the domain to be all x values that fall on this line, hence x being between 2 and 6. The same happens for y, in which, since there are no points plotted, the range is all the y values on the line. Once again, I am not absolutely sure about this, but it seems logical, at least to me.

The expression is [(4^10)×2]/q.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

Here, we have,

given that,

raise 4 to the 10th power, double the result, then divide what you have by q

so. we get,

[(4^10)×2]/q

Hence, The expression is [(4^10)×2]/q.

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The total of all the angles created on a transverse that are inside either of the two parallel lines is always 180 degrees.

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.

When a transversal intersects two parallel lines, co-interior angles result between the lines. On the same side of the transversal, the two angles always sum to 180 degrees.

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Answer:

2790 ft²

Step-by-step explanation:

Area of rectangle with length L and width W:

area = LW

area = 45 ft × 62 ft

area = 2790 ft²

Answer:

1/2x-10

Step-by-step explanation:

[tex]\frac{1}{5} x+\frac{1}{2} (\frac{3}{5}) +\frac{1}{2}(-20)\\\frac{1}{5} x+\frac{3}{10} x-10\\\frac{1}{2} x-10\\[/tex]

Hope this helped! :)

Hey there!

1/5x + 1/2(3/5x - 20)

DISTRIBUTE 1/2 within the PARENTHESES:
= 1/5x + 1/2(3/5x) + 1/2(-20)

= 1/5x + 3/10x - 10

COMBINE the TERMS

= (1/5x + 3/10x) - (10)

= 1/5x + 3/10x - 10

= 1/2x - 10

Therefore, your should be:

1/2x - 10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The machine is working correctly and filling cans with a mean of 128 ounces.

The Central Limit Theorem states that the distribution of the sample means will be approximately normal, regardless of the underlying distribution of the population, as long as the sample size is large enough.

With a random sample of 40 cans, we can use the Central Limit Theorem to assume that the sample mean of paint cans is approximately normally distributed with a mean of 128 ounces and a standard deviation of 0.2/[tex]\sqrt{40}[/tex].

We can then use this information to perform a hypothesis test to determine if the sample mean of 127.9 ounces is significantly different from the population mean of 128 ounces.

The null hypothesis is that the machine is working correctly and filling cans with a mean of 128 ounces, and the alternative hypothesis is that the machine is not working correctly and filling cans with a mean different from 128 ounces.

We can use a significance level of 0.05 for this test and calculate the z-score using the formula (sample mean - population mean)/(standard deviation of sample mean).

If the calculated z-score is greater than the critical value of z (from a standard normal table) at the significance level 0.05, we reject the null hypothesis and conclude that the machine is not working correctly and filling cans with a mean different from 128 ounces.

However, based on the sample mean of 127.9 and the population mean of 128, we can see that the sample mean is 0.1 ounce below the population mean which is not a significant difference. Therefore, we fail to reject the null hypothesis and conclude that the machine is working correctly and filling cans with a mean of 128 ounces.

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It is been proved that c(a+b) = ab.

Prove:-

c(a+b) = ab.

it is given that ∠ ABD = ∠ XYD = ∠ CDB = 90°

So, Lines AB, XY, and CD are parallel to Each other.

→ AB || XY || CD

Now In ΔABD, we have,

→ AB || XY

So,

→ DY/BD = c/a

→ DY = (c/a)*BD ----------------------- Equation (1)

In Δ BDC we have

→ CD || XY

So,

→ BY/BD = c/b

→ BY = (c/b)*BD ----------------------- Equation (2)

______________________

Adding Equation(1) and Equation(2) now, we get

→ DY + BY = (c/a)*BD + (c/b)*BD

taking (c * BD) common From LHS, we get,

→ BD = c * BD(1/a + 1/b)

BD will be canceled from both sides,

→ 1/c = 1/a + 1/b

→ 1/c = (a+b)/ab

→ c(a+b) = ab

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The Question is incomplete although I've found a similar question of it.

: Picture attached:

The steps to convert the graph a quadratic equation in factored form is explained below.

Factored form in math is defined as the process of expressing a given number or algebraic expression as the product of its factors is called factoring.

Here we need to explain the process of graph a quadratic equation in factored form.

There are three ways are defined to convert them.

The very first way to When every term of the equation has GCD ≠ 0 then it can be factored by taking out GCD as a common factor.

the next way is to use the Identity that is a² - b² = (a + b) (a - b)

The last way is to use the Identity (x + a)(x + b)

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The value of P(1≤x≤3)  is 0.84

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

P(1≤x≤3) defined the probability that the result is between 1 and 3, included. You can answer this question in two ways:

1. Sum the probabilities of good events:

From the graph, we have

P ( x= 1 ) = 0.32

P ( x = 2 ) = 0.24

P ( x= 3 ) = 0.28

So,

P ( 1 <= X <= 3 ) = 0.32 + 0.24 + 0.28

= 0.84

2. Use complementary probabilities

Asking that the result is 1, 2 or 3 is the same as asking that the result is not 4. The probability that the result is 4 is 0.16, so the probability that the result is not 4 will be

P ( x not equal to 4 ) = 1 - P ( x = 4 )

= 1- 0.16

= 0.84

Therefore, The value of P(1≤x≤3)  is 0.84

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Answer:

4x²+4x+3

Step-by-step explanation:

g(f(x))= (2x+1)²+2

= 4x²+4x+1+2

=4x²+4x+3

There are 1001 different committees can be chosen.

The problem is asking how many different committees can be chosen or the number of ways to select 4 students out of a group of 14 without regard to order. This is a combinatorics problem, and it can be solved using the combination formula:

nCr = n!/(r!(n-r)!)

Where n is the total number of items to choose from (14 students in this case) and r is the number of items to choose (4 students).

Plug in the values and solve.

14C4 = 14!/(4!(14-4)!)

14C4 = 14!/(4!10!)

14C4 = 1001

Therefore, the number of different committees that can be chosen is 1001.

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Answer:12

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

12

The answer is: Yes, Yes, Yes, No.

The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.

The expression 9 − (-11) shows the difference between two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.

The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.

The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value of -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.

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The algebraic expression to represent how much time he has left to drive as function is given as f(g) = g - 21.

Given is that Greg will travel on his trip across the country to attend his cousin's wedding. The first day he travels 8 hours. The second day he travels 9 hours. The third day he had mechanical problems and only drove 4 hours.

We can write an algebraic expression to represent how much time he has left to drive as function f(g). We can write -

f(g) = g - (8 + 9 + 4)

f(g) = g - 21

Therefore, the algebraic expression to represent how much time he has left to drive as function is given as f(g) = g - 21.

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The most calories are expended per hour while running. Swimming, walking, and stationary bicycling are also great possibilities. HIIT workouts are excellent for calorie burning as well.

When it comes to calorie burn per hour, running comes out on top. Other great options include stationary cycling, walking, and swimming. Calorie burning is also excellent with HIIT exercises.

Circulatory endurance refers to your body's capacity to maintain itself throughout activities like running, jogging, swimming, cycling, and anything else that requires your cardiovascular system (lungs, heart, and blood vessels) to exert itself for an extended length of time.

Regular exercise can help kids and teenagers lose weight, develop strong bones and muscles, enhance cardiorespiratory fitness, lessen the symptoms of anxiety and depression, and lower their chance of contracting diseases like heart disease.

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The possible values of x ( in hours) will be less than four to achieve gains from trade .

Opportunity cost is what we have to sacrifice to achieve something. It is a very important concept in international trade, as it forms the basic criteria for opening a trade. For trade to take place there should be atleast comparative advantage in the production of a good by each country.

Produced item Germany France

Car 600 hours x hours

Wine 3 hours 4 hours

We have to calculate the value of "x"

Opportunity cost of a car for German worker

= 600/5 = 120 cases of wine

Opportunity cost of a wine for German worker

= 1/120 cars

Similarly, Opportunity cost of a car for Italian worker = 4/x cases of wine

Opportunity cost of wine for Italian worker

= x/4 car

A country has a comparative advantage when it can produce a good with a lower opportunity cost than another. To achieve the gains from trade, when the opportunity cost of a car for Italian worker is greater than german worker

4/x > 120 => x < 4/120 = 1/30 .

or in case of wine, x/4 < 1/120

=> x < 4/120 = 1/30

So, possible value of x is less than 4.

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The value on simplifying the fraction expression 5/6 - 7/12 is obtained as 1/4.

What is a fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

The fraction expression is given as 5/6 - 7/12.

5/6 - 7/12

First take the LCM of the denominator -

LCM = 12

Now, multiply 2 by 5 in first fraction numerator, as 6 multiplied by 2 is 12 (LCM) -

10/12 - 7/12

Now, use the arithmetic operation of subtraction -

(10 - 7)/12

3/12

Divide numerator and denominator by 3 -

1/4

Therefore, the final value as a fraction is obtained as 1/4.

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The polynomial 2x³ + x² -3x +14 must be added to (x³ + 3x -8) to obtain (3x³ + x² +6).

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The general form of the quadratic equation is:  ax² + bx + c = 0,

where x is an unknown variable and a, b, c are numerical coefficients.

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.

Let a polynomial P must be added.

Therefore, according to the question,

P+ (x³ + 3x -8) = (3x³ + x² +6)

=> P= (3x³ + x² +6) - (x³ + 3x -8)

=> P= (3-1)x³ + x² -3x +(6-(-8) )

=> P= 2x³ + x² -3x +14

Thus, the polynomial 2x³ + x² -3x +14 must be added to (x³ + 3x -8) to obtain (3x³ + x² +6).

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Answer:

153 ft

Step-by-step explanation:

[tex]16 + 1 + 2 + 2 + 5 + 2 + 2 + 8 + 5 + 18 + 9 + 5 +3 + 9 + 3 + 2 + 6 + 6 + 6 + 6 + 6 + 3 + 5 + 23 = 153[/tex]

The scale factor of the dilation is the square root of 17.

A dilation is a transformation in geometry that changes the size of a figure while preserving its shape. In other words, a dilation stretches or shrinks a figure proportionally, but does not change its shape. The dilation is defined by a scale factor, which is the ratio of the length of the image to the length of the original figure. The scale factor can be greater than 1, which means the dilation is an enlargement, or less than 1, which means the dilation is a reduction. The center of dilation is a fixed point, which is used to determine the scale factor and direction of the dilation. Dilations play an important role in many areas of mathematics, including coordinate geometry and metric spaces.

The scale factor of the dilation can be found by comparing the equations of the original line and the image line. The slope of the original line is 1/4, and the slope of the image line is also 1/4. Since the slope is unchanged, the dilation did not affect the slope, and therefore the scale factor is 1 in the x-direction.

To find the scale factor in the y-direction, we can compare the y-intercepts of the original and image lines. The y-intercept of the original line is -1, and the y-intercept of the image line is -5. The difference between the y-intercepts of the original and image lines is 4, which is the change in the y-coordinate of the image relative to the original.

Therefore, the scale factor in the y-direction is 4. Since the scale factor in the x-direction is 1, the overall scale factor is the square root of (1^2 + 4^2) = the square root of 17.

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The solutions to the given quadratic equation are 1/4 and -1.

The correct options are Options E and F.

          [tex]x = \frac{-b + \sqrt{b^{2} -4ac} }{2a}[/tex]  and [tex]x = \frac{-b - \sqrt{b^{2} -4ac} }{2a}[/tex]

Given equation :

4x² + 3x -1 = 0

Here,a = 4, b = 3, and c = -1.

[tex]x = \frac{-b + \sqrt{b^{2} -4ac} }{2a}[/tex]

The roots of the equation are:

[tex]x = \frac{-3 + \sqrt{3^{2} -4(4)(-1)} }{2(4)}[/tex] and  [tex]x = \frac{-3 - \sqrt{3^{2} -4(4)(-1)} }{2(4)}[/tex]

[tex]x = \frac{-3 + \sqrt{25} }{2(4)}[/tex]  and  [tex]x = \frac{-3 - \sqrt{25} }{2(4)}[/tex]

[tex]x = \frac{2}{8} = \frac{1}{4}[/tex]   and  [tex]x = \frac{-8}{8} = -1[/tex]

Hence the roots of the equation are 1/4 and -1.

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The solution to the system of equation 4y + x = 15 and x = 8y + 3 is (11, 1)

An equation shows the relationship between numbers and variables in an expression.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

Given that:

4y + x = 15

multiply by 2:

8y + 2x = 30    (1)

Also:

x = 8y + 3

8y - x = -3     (2)

Subtract equation 2 from 1 to solve using elimination method:

3x = 33

x = 11

put x = 11 in equation 2:

8y - 11 = -3

y = 1

The solution is (11, 1)

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There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

Trigonometric Identities are formulas that involve Trigonometric functions.

These identities are true for all values of the variables.

Trigonometric Ratio is known for the relationship between the measurement of the angles and the length of the sides of the right triangle.

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Three cards are randomly selected from a standard deck of 52 cards. The probability that each card is a king (k) if the sampling is done without replacement is  1/5525

Probability measures the likelihood of the occurrence of an event. The probability is defined as:

p(A) = n(A) / n(S)

Where:

n(A) = number of possible ways an event A can happens

n(S) = number of possible outcomes.

In a standard deck, there are 4 kings. Hence,

1st draw, the probability it is a king = 4/52

Suppose, that the first card is a king, then the remaining kings are 3 and the remaining cards are 51.

Hence, at 2nd draw, the probability it is a king = 3/51.

Similarly, at 3rd draw, the probability it is a king = 2/50

The probability that each card is a king:

P (3 kings) = 4/52 x 3/51 x 2/50

                  = 24/13260

                  = 1/5525

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The length of each leg, just divide the hypotenuse, 12 , by the square root of 2. Then to remove the radical from the denominator, multiply both numerator and denominator by square root of 2.

Find the length of each leg?

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Answer: Probability that she attended class regularly given that she receives A grade is 0.9286.

Step-by-step explanation: i looked it up man ‍♀️

We have the table as,

a. The slope is 20.-True

b. The point (0, 500) is on the line.-False

c. The line starts downward from left to right. -False

d. The slope is -200.-False

e. The y-intercept is 50.-True

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).   It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

Here the given equation is 10y-200x=500

a) Now rewrite the equation into slope intercept form then,

=> 10y-200x=500

=> 10y=200x+500

=> y = 20x+50.

We know that slope intercept form of the equation is y=mx+b. Where m is slope, Then slope of the given equation is 20.

b)Now put (x,y)=(0,500) in 10y-200x=500 then

=> 10×500-200×0=500

=> 5000≠500

Then the point (0,500) is not on the line.

c)Comparing with y = mx + d, we get,

Slope, m = 20 (Positive which implies the line starts upward from left to right)

d) The equation y=20x+50 ,y-intercept, d = 50 (That means the line passes through the point (0, 50)

e) y intercept is 50.

Hence the correct answer  is

a. The slope is 20.-True

b. The point (0, 500) is on the line.-False

c. The line starts downward from left to right. -False

d. The slope is -200.-False

e. The y-intercept is 50.-True

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The introduction of harmful chemicals into the air is known as air pollution.

The chief causes of man-made air pollution include vehicle emissions, fuel oils and natural gas used to heat houses, byproducts of manufacturing and electricity generation, notably coal-fueled power plants, and odors from chemical manufacture.Industrial emissions, automobile emissions, and any other place where fossil fuels are burnt are all sources of atmospheric pollution, or air pollution. Another major contaminant that can cause ozone depletion is methane, which is released by landfills and cattle.

Air pollution can have long-term harmful consequences, such as acid rain, which pollutes the Earth’s bodies of water and ruins infrastructure.

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The total distance cover by Sagar is, 15 km 385 m.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

To reach the Powai lake picnic spot from star apartments,

Sagar went 13 km 665m by bus ,1 km220 m by autorickshaw and 500 m by foot.

Now, Total distance cover by Sagar is,

⇒ 13 km 665 m + 1 km 220 m + 500 m

We know that;

1 km = 1000m

Hence, We get;

⇒ 13665 m + 1220 m + 500 m

⇒ 15,385 m

⇒ 15 km 385 m

Thus, The total distance cover by Sagar = 15 km 385 m.

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The general way to write factored form of the given quadratic equation is given by f (x) = A ( x - u ) ( x - r ).

As given in the question,

Let us consider the standard quadratic equation as :

ax² + bx + c = 0

To represent general way of factored form take example :

Example : 2x² + 14x + 24 = 0

Split the middle term :

4x + 3x = 7x

(4x)(3x) = 12x²

⇒2(x² + 7x + 12 )= 0

⇒ x² + 4x + 3x + 12 = 0

⇒x( x + 4 ) + 3 ( x+ 4 ) = 0

⇒ ( x + 3 )(x + 4 ) = 0

Factored form of the quadratic equation is : f (x) = A ( x - u ) ( x - r ).

Therefore, in standard way the factored form of the quadratic equation is equal to f (x) = A ( x - u ) ( x - r ).

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