Determine the values of h and k in the equation of g(x). g(x) = rootindex 3 startroot x minus h endroot k h = k =

The expression for pressure is P = k/V and pressure is 50 pounds per square inch.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given pressure and volume are inversely proportional to each other

P ∝ 1/V

P = k/V

given when pressure p = 25 pounds per square inch

then volume V = 400 cubic inches

25 = k/400

k = 10,000

and when  V = 200 cubic inches

then P = k/V

P = 10000/200

P = 50 pounds per square inch

Hence pressure is 50 pounds per square inch.

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Answer:-2

Step-by-step explanation:

2(x-4) + 3x -x^2

2(2-4)+ 3(2) - 2^2

2(-2)+ 3(2)-2^2

-4+6-4=

-2

Answer:

6x + 8y = 13. 8y = 13 - 6x.

y = (13 - 6x) / 8.

f(x) = (13 - 6x) / 8.

x = (13 - 6f-1(x)) / 8.

8x = 13 - 6f-1(x).

6f-1(x) + 8x = 13 S

If the elements in the pairs are related to each other then the pair is called as Ordered Pair an if the elements in the pair are not related then the pair is called as Unordered Pair .

The Ordered Pair is defined as a pair of elements having specific importance for order of their placements.  

Also, the ordered pairs are used to represent elements that have a relation between them .

The Ordered pairs are usually used  to represent a point on a coordinate plane.

The Unordered Pair is a set of the form (a,b) that have two elements "a and b" that have no particular relation between them,

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The quotients that have their decimal points in the correct place are the second and last quotients

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

From the question, we ae to determine if the decimal point in each of the given quotients is in the correct place

To do this, we will evaluate each of the operations

Check

26.23 ÷ 4.3 = 6.1

Therefore, the decimal point is not in the correct place

Check

103.36 ÷ 3.8 = 27.2

Therefore, the decimal point is in the correct place

Check

43.29 ÷ 0.45 = 96.2

Therefore, the decimal point is not in the correct place

Check

198.74 ÷ 0.95 = 209.2

Therefore, the decimal point is in the correct place

Hence,

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

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The graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4 c) vertical shift of 4 units up.

When functions are changed, the graph's representational curve "moves to the left/right/up/down," "expands or compresses," or "reflects."

A vertical movement of 4 units up is the explanation for how the graph of f(x)=x might be changed to become the graph of g(x)=x+4.

Translations, reflections, and dilations are the three different forms of transformations. A function can be transformed in one of two ways: vertically (affecting the y-values) or horizontally (affects the x-values). The function's equation, which includes the four transformation variables, is shown below (a, b, h, and k).

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Answer:

5^2 would be 5*5 =25 so 5^2 is 25

Step-by-step explanation:

The quotient rule in calculus is a method used to find the derivative of any function given in the form of a quotient obtained from the result of the division of two differentiable functions.

That means if we are given a function of the form: f(x) = u(x)/v(x),

we can find the derivative of this function using the quotient rule derivative:

f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]2

Where:

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Answer: "C. 0.9604.

Step-by-step explanation: The correct answer is The probability that at least one of the alarm clocks will wake her up is 0.9604. Heather has a very important test to take in the morning. So she wants to be sure that she will wake up in time, so she sets two alarm clocks.

By applying the formula x=-b/2a to find the quadratic's vertex, the result can then be used to replace y in the original equation.

To convert standard form to vertex form,

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The result is commonly known as just a square number, a complete square root, or simply "a square" when such an integer (a "whole" number), either positive, negative, or zero, is multiplied on its own. So now all square integers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

It is possible to multiply an integer by its square root in order to obtain the original value. Square root of, end square root is the symbol for this mathematical concept. Contrary to squaring, finding a number's square root is the reverse.

For instance, 3 is squared at 9, 32, and its square root at 9, which is 9, is equal to 3. It is simple to multiply by 9 since it is a perfect square.

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50% ÷ 5 jut divide it helps

When you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

If you try to solve an equation and receive a variable or a number equal to itself, you know it has an endless number of solutions.

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Answer:

The slope is [tex]-\frac{3}{4}[/tex], and the y-intercept is[tex]-\frac{17}{4}[/tex].

Step-by-step explanation:

[tex]y=-\frac{3}{4}x-\frac{17}{4}[/tex] is the slope-intercept form

Answer:

Yes, the sides 7cm, 24cm and 25cm form a right angle triangle.

This is because the sides of a right angle triangle must follow the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 7cm and 24cm are the two legs and 25cm is the hypotenuse.

Step-by-step explanation:

Answer: In order to solve this problem, you should use the Pythagorean theorem. Since FG is perpendicular to OP, and OP and OQ are radii of the same circle, then triangle OFG is a right triangle. Similarly, triangle ORS is also a right triangle. By using the Pythagorean theorem, you can find that:

OF = sqrt(OP^2 + FG^2) = sqrt(19^2 + 40^2) = sqrt(361 + 1600) = sqrt(1961)

and

OS = sqrt(OQ^2 + RS^2) = sqrt(19^2 + 37^2) = sqrt(361 + 1369) = sqrt(1740)

Therefore, the length of the segment connecting the feet of the altitudes is:

OF + OS = sqrt(1961) + sqrt(1740) = 27.2

So the answer is A. 27.2

Step-by-step explanation:

The number of points Jim scored is 15 points.

The number of cars given the ratio of car to boat is 140 cars

Total points = Number of points Kevin has + Number of points Jim has

22 = x + (8 + x)

22 = x + 8 + x

22 = 2x + 8

22 - 8 = 2x

14 = 2x

divide both sides 2

x = 14/2

x = 7

Number of points Jim has = 8 + x

= 8 + 7

= 15 points

Part B:

Boat : car

2 : 5 = 56 : x

2/5 = 56/x

cross product

2 × x = 56 × 5

2x = 280

divide both sides by 2

x = 280/2

x = 140

Therefore, the number of points Jim scored is 15 points and the number of cars is 140

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Answer:  liquidity reasons

Step-by-step explanation:

Banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Banks will try to sell credit cards and personal loans to customers for a few reasons:

Profit: Banks earn money by charging interest on loans and credit cards. By selling these products to customers, banks can earn significant profits.

Customer retention: By offering loans and credit cards to customers, banks can deepen their relationships with them and increase customer loyalty.

Increased revenue: Offering loans and credit cards can help banks generate more revenue from customers.

Market competition: Banks face intense competition from other financial institutions, including credit unions and online lenders.

Hence, banks sell credit cards and personal loans to customers to increase their profits, deepen customer relationships, generate more revenue, and compete in the market.

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Residual Value should not be more than 5% of Cost of Asset i.e Rs. 5000 and accordingly the amount to be adjusted shall be Rs.

What Exactly Is Residual Value?

The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value. In lease agreements, the residual value is one of the lessor's main methodologies for calculating the lessee's periodic lease payments.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                 A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

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The probability the spinner landing on 5 is 0.125. The result is obtained by dividing the number of favorable outcomes by the number of events.

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

A spinner is divided into 8 equal sections numbered 1 to 8. Find the probability that the spinner lands on number 5!

From the information, we have:

P(A) = n(A) / n(S)

P(A) = 1/8

P(A) = 0.125

Hence, the probability that the spinner lands on number 5 is 0.125.

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The common factors for 48,36,−12 48 , 36 , - 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF for the numerical part is 12.

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The area of a triangle with the base 4.8 cm and height 3.6 cm is 8.64 cm².

Therefore the answer is 8.64 cm².

The area of a triangle can be calculated using the formula:

Area = (1/2) x base x height

In this case, the base of the triangle is 4.8 cm and the height is 3.6 cm. Plugging these values into the formula, we get:

Area = (1/2) x 4.8 x 3.6

Area = (1/2) x 17.28

Area = 8.64 cm²

So the area of the triangle is 8.64 square centimeterS.

It's important to note that the formula for area of triangle uses the concept of base and height. A base is a side of the triangle and height is the perpendicular distance from the base to the opposite vertex.

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If the two rates​ continue, the number of hours when the prices of the two stocks would be the​ same is equal to 1.85 hours.

In order to write a system of algebraic equation to describe this situation, we would assign variables to the price of Stock A and the price of Stock B after a certain number of hours respectively, and then translate the word problem into algebraic equation as follows:

For the price of Stock A increasing at the rate of ​$0.11 each hour, an algebraic equation which models it is given by:

T = 12.81 + 0.11x

For the price of Stock A decreasing at the rate of ​$0.16 each hour, an algebraic equation which models it is given by:

T = 13.31 - 0.16x

Equating the two algebraic equations, we have:

12.81 + 0.11x = 13.31 - 0.16x

0.11x + 0.16x = 13.31 - 12.81

0.27x = 0.5

x = 0.5/0.27

x = 1.85 hours.

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On solving the provided question, we can say that The perimeter of the Isosceles  triangle is 8 + 4v'5+ 4[tex]\sqrt{2}[/tex]= 8 + 8[tex]\sqrt{2}[/tex] = +[tex]\sqrt{2}[/tex])

A triangle with two sides that have the same length is said to be isosceles. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The hypotenuse is 8 so the equal sides are x lets say.

Now, by Pythagoras Theorem

x^2 + x^2 + = 8^2

x^2 = 64/2

x = [tex]4\sqrt{2}[/tex]

The perimeter of the triangle is 8 + 4v'5+ 4[tex]\sqrt{2}[/tex]= 8 + 8[tex]\sqrt{2}[/tex] = +[tex]\sqrt{2}[/tex])

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You buy 3 tickets. You spent $225 to buy the tickets.

What is an equation?

A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Given that there are two planes to buy tickets.

First plane offers $75 per ticket.

The other plan offers $180 plus $15 per ticket.

Assume that you buy x number of tickets.

According to the first plane, the total cost of x number of tickets is y = $75x.

According to the second plane, the total cost of x number of tickets is y = $180 + 15x

The system of equations is

y = $75x .....(i)

y = $180 + 15x  ....(ii)

Using the substitution method solve the equations.

The solution of the equations represents the total cost for the two options is the same.

Putting y = 75x in equation (ii)

75x = 180 + 15x

Subtract 15x from both sides:

75x - 15x = 180

60x = 180

Divide both sides by 60:

x = 3

Putting x = 3 in equation (i)

y = 75 × 3

y = 225

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The area of the triangle is 54 square cm.

To find the area of a triangle, we can use Heron's Formula, which states that the area of a triangle is equal to the √ (s * (s-a) * (s-b) * (s-c)), where s is the semi-perimeter of the triangle and a, b, and c are the sides of the triangle.

Step 1: Find the semi-perimeter of the triangle. s = (9 + 12 + 15) / 2 = 21 / 2 = 10.5

Step 2: Substitute the semi-perimeter and the sides of the triangle into Heron's Formula.

Area =  √(10.5 × (10.5 - 9) × (10.5 - 12) × (10.5 - 15))

Step 3: Simplify the equation.

Area = √ (10.5 × 1.5 × -1.5 × -4.5)

Step 4: Perform the square root.

Area = √ -94.5 = 54 square cm.

Area = 54 square cm.

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The concept given is Sampling, which selects the group that you will actually collect data from in your research. The answer is option B, ​True; because it is often the case that the individuals who volunteer do not accurately represent the population.

Sampling is the selection of a subset of individualities from within a statistical population to estimate the characteristics of the whole population. Statisticians essay to collect samples that are representative of the population in question.

Frequently, voluntary response samples oversample people who have strong opinions and under-sample people who do not watch important about the content of the check. Therefore consequences from a voluntary response sample aren't as secure as conclusions grounded on an arbitrary sample of the entire population under consideration.

Volunteer slice doesn't induce a representative sample, so, thus, would not be the favored choice of experimenters who were keen to be suitable to generalize their data to the whole population.

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Yes, the coefficient of thermal expansion goes to zero at T approaches zero.The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature.

The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature. It is calculated by taking the derivative of volume with respect to temperature. Mathematically, it is expressed as β = (1/V) (dV/dT). As the temperature approaches zero, the change in volume (dV) will also approach zero, and thus the coefficient of thermal expansion (β) will approach zero as well.

The complete question : thermal expansion goes to zero at T approaches zero. By definition, the volume coefficient of thermal expansion is: beta = (1/V) (dV/dT). So, as T approaches zero, (dV/dT) approaches zero, and thus beta approaches zero.

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On solving the provided question, we can say that from the provided graphs, we have Domain = [(-4, 0) to  (-3, 1)]

Mathematicians  use the graphs to logically convey facts or values using the visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided graphs, we have  

domain of the function

Domain = [(-4, 0) to  (-3, 1)]

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