What equation represents this graph? (ANSWER QUICK)

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.

Step-by-step explanation:

A horizontal parabola with a right-facing opening and a vertex at (1,1) is we have positive direction.

In order to make the coefficients of either the variable x or the variable y numerically equal, first multiply both of the following equations by any suitable non-zero constants.

Finding the single equation of a curve in standard form with only the variables xs and ys constitutes the cartesian equation of that curve. You must simultaneously solve the parametric equations in order to arrive to this equation.

X and Y both

are t-related functions.

We have t=y1 after solving y=t+1 to get t as a function of y.

Thus, given x=t2+1, we have x=(y1)2+1x1=(y1) by substituting t=(y1).

A horizontal parabola with a right-facing opening and a vertex at (1,1) is what we have positive direction.

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Answer:

it is 4.8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The variance of the number of people placed on hold is 1.9.

Probability distribution A probability distribution is a function that maps all events or outcomes that can happen in an experiment to probabilities that summarize how likely they are to occur. The probabilities in a probability distribution must always meet the following conditions:

All probabilities must be nonnegative.

The sum of all probabilities must be equal to 1.If the probability distribution satisfies the above two conditions, it is a valid probability distribution. The table of probabilities given in the question satisfies the above two conditions. Therefore, it is a valid probability distribution.

The mean or expected value of a probability distribution is calculated by multiplying each outcome by its probability and adding all the products together.

The mean, μ, is given by:

μ = Σ(xi * P(xi)),where xi is the outcome and P(xi) is the probability of the outcome.

Using the values from the table, we have:

μ = (0 * 0.15) + (1 * 0.3) + (2 * 0.23) + (3 * 0.18) + (4 * 0.1) + (5 * 0.04)μ = 1.81

The mean number of people placed on hold is 1.81.

Standard deviation

The standard deviation of a probability distribution measures how spread out the outcomes are from the mean.

The standard deviation, σ, is given by:σ = sqrt(Σ(xi - μ)^2 * P(xi)),where xi is the outcome, μ is the mean, and P(xi) is the probability of the outcome.

Using the values from the table and the mean we just calculated, we have:

σ = √((0 - 1.81)^2 * 0.15 + (1 - 1.81)^2 * 0.3 + (2 - 1.81)^2 * 0.23 + (3 - 1.81)^2 * 0.18 + (4 - 1.81)^2 * 0.1 + (5 - 1.81)^2 * 0.04)σ = 1.38

The standard deviation of the number of people placed on hold is 1.38.

The variance of a probability distribution is the square of the standard deviation.

The variance, σ^2, is given by:σ^2 = Σ(xi - μ)^2 * P(xi),where xi is the outcome, μ is the mean, and P(xi) is the probability of the outcome.

Using the values from the table and the mean we just calculated, we have:

σ^2 = (0 - 1.81)^2 * 0.15 + (1 - 1.81)^2 * 0.3 + (2 - 1.81)^2 * 0.23 + (3 - 1.81)^2 * 0.18 + (4 - 1.81)^2 * 0.1 + (5 - 1.81)^2 * 0.04

σ^2 = 1.9

The variance of the number of people placed on hold is 1.9.

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To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Mrs. Flips sold 240 large chocolate chips.

Mrs. Flips sold 60 small peanut butter cookies.

In order to write the required expressions that models the situation, we would assign variables to the number of large chocolate chips and the number of small peanut butter cookies, and then translate the word problem into algebraic equation as follows:

Since Mrs. Flips charged $1 for the chocolate chip and 50-cents for the peanut butter cookies and collected $270 total, an expression that models the situation is given by:

x + 0.5y = 270

Additionally, she sold a total of 300 cookies:

x + y = 300

270 - 0.5y + y = 300

0.5y = 30

y = 60 small peanut butter cookies.

x = 270 - 0.5(60)

x = 240 large chocolate chips.

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In symbolizing truth-functional claims, the word "if" is used to introduce the consequent of a condition, while the phrase "only if" represents the antecedent.

Symbolizing truth-functional claims involves representing statements or propositions using logical symbols. When using the word "if" in a truth-functional claim, it typically introduces the consequent of a conditional statement. A conditional statement is a type of proposition that states that if one thing (the antecedent) is true, then another thing (the consequent) is also true. For example, the statement "If it is raining, then the ground is wet" can be symbolized as "p → q," where p represents "it is raining" and q represents "the ground is wet."

On the other hand, the phrase "only if" is used to represent the antecedent in a truth-functional claim. In a conditional statement using "only if," it states that if the consequent is true, then the antecedent must also be true. For example, the statement "The ground is wet only if it is raining" can be symbolized as "q → p," where p represents "it is raining" and q represents "the ground is wet."

In summary, when symbolizing truth-functional claims, the word "if" introduces the consequent of a condition, while the phrase "only if" represents the antecedent. These terms help express the relationships between propositions in logical statements.

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9514 1404 393

Answer:

  21,356,801,630

Step-by-step explanation:

The product can be found using any calculator that will display 11 digits or more.

Of course, it can also be found by long multiplication (second attachment). Many students learn this method in 5th grade.

Answer:

21,356,801,630

Step-by-step explanation:

just use a calculator

Answer:

Step-by-step explanation:

Given function:

It has zero's at:

Observations:

Considering all the mentioned above the matching answer choice is A

The correct option is, No, because HI and JK do NOT have the same slope and  HK and IJ have the same slope

Opposite sides are parallel: The pairs of opposite sides of a parallelogram are always parallel to each other.

Opposite sides are equal in length: The pairs of opposite sides of a parallelogram are equal in length.

Consecutive angles are supplementary: The consecutive angles of a parallelogram are always supplementary, meaning that they add up to 180 degrees.

Diagonals bisect each other: The diagonals of a parallelogram bisect each other, meaning that they intersect at the midpoint of each other.

The sum of the interior angles is 360 degrees: The sum of the interior angles of a parallelogram is 360 degrees.

No, because HI and JK do NOT have the same slope and HK and IJ have the same slope.

In order for a quadrilateral to be a parallelogram, opposite sides must be parallel, which means they have the same slope.

In this case, HI and JK do not have the same slope, and therefore, the opposite sides are not parallel.

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The complete question:

The vertices of parallelogram HUJK are H(0,-1),(2,3), J(7, -1),K(5,-5). Determine if HIJK is a parallelogram.

No, because HI and JK do NOT have the same slope and  HK and IJ have the same slope

Yes, because HI and JK have the same slope and HK and IJ have the same slope

Yes, because the image is tilted

No, because HK and JI have the same slope, but HI and JK do NOT have the same slope

Step-by-step explanation:

If she only wants to spend $50 we have the domain:

and the function:

Answer:

(a) 0.15866

(b) Clustered, with two peaks

(c) Point estimate is 6.3 inches

Margin of error is 0.7 inches

(d) Yes

(e) Stratified sampling method

Step-by-step explanation:

(a) The given information are as follows

Mean diameter of Aspen trees, μ = 8 inches

Standard deviation, σ = 2.5 inches

\(z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1\)

Therefore;

p(x < 5.5) = p(z < -1)

From the z score table, we have p = 0.15866

Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches

(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3

The margin of error = (7.0 - 5.6)/2 = 0.7 inches

(d) Yes, because the 8 inches is outside the range

(e) Stratified sampling method

Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

x=-3, y=9. (-3, 9).

Step-by-step explanation:

-9x-5y=-18

4x+5y=33

---------------

-5x=15

x=15/-5

x=-3

4(-3)+5y=33

-12+5y=33

5y=33-(-12)

5y=33+12

5y=45

y=45/5

y=9

Answer:

-9x - 5y = -184x + 5y = 33

Answer:

The volume of the composite figure is 162.7 in^3

Step-by-step explanation:

Here, we have a cylinder placed over a cube

The volume of the cube is L^3

With L being the length of its side = 5

The volume of the cube is 5^3 = 125 in^3

The volume of the cylinder is pi * r^2 * h

with r = 2 in and h = 3 in

The volume of the cylinder = 22/7 * 2^2 * 3 = 37.699 = 37.7 in*3

Total volume is thus;

37.7 + 125 = 162.7 in^3

The sum of the relative frequencies for all classes will always equal (c) one

To start with, the relative frequency of a class is the frequency of the class divided by the total frequency of the of all classes

Mathematically, this is represented as

Relative frequency of class A = Frequency of class A/Total frequency of all classes

When the relative frequencies are summed up, they will always equal to 1

This is so because they have a part-whole ratio

Hence, the correct option is (c) one

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Answer:

The slope is 2/3 and the intercept is ( 0 , 6 )

sorry if I am wrong

Answer: 26

Step-by-step explanation:

(-4)(-2)-6(2-5)=

-(-8)-6*2-6*(-5)=

-(-8)-12-(-30)=

8-12+30=

30+8-12=

38-12=26

Answer:

57 1/10

(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10

Step-by-step explanation:

to graph a line always find 2 points out has to go through. that means the points' coordinates make the equation true.

I usually start with x = 0.

point 1 of equation 1 is then

y = -2×0 + 6 = 6

(0, 6)

point 1 of equation 2 is then

y = (3/2)×0 - 1 = -1

(0, -1)

then I pick a value for x that makes the handling of any fractions easier. like in our case x = 2.

point 2 of equation 1 is then

y = -2×2 + 6 = -4 + 6 = 2

(2, 2)

point 2 of equation 2 is then

y = (3/2)×2 - 1 = 3 - 1 = 2

(2, 2)

oh, so I have found the intersection point right away (point 2 of both equations).

so, let's pick a different point 2 for equation 1, like x = 4

y = -2×4 + 6 = -8 + 6 = -2

(4, -2)

with these 4 points you define the 2 lines, and you have the intersection point at (2, 2).

The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.

In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:

C(8,5) = 56

The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:

C(1,2) * C(7,3) = 35

Therefore, the probability of drawing the blue marble twice is:

P = 35/56 = 0.625.

The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.

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Answer:

a. 2.50(6) + X = 22.50

b. $25.00

Step-by-step explanation:

A.

a ride = $2.50

total spent = $22.50

2.50(6) + X = 22.50

15.00 + X = 22.50

X = 22.50 - 15.00

X = 7.50

entrance fee = $7.50

B.

10*2.50= $25.00

Answer:

$22.50

Step-by-step explanation:

:)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)  converges absolutely.

To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:

1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)

This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\)  satisfies the following conditions:

1. The terms \(b_n\) are positive and decreasing for all n.

2. The limit of \(b_n\) as n approaches infinity is zero.

In our case, \(b_n = 1/(4n)\). Let's check the conditions:

Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.

Condition 2: Let's calculate the limit of b_n as n approaches infinity:

\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)

Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.

2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)

To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:

\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)

1. If L < 1, the series converges absolutely.

2. If L > 1, the series diverges.

3. If L = 1, the test is inconclusive.

In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:

\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)

               \(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)

              \(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)

            \(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)

Taking the limit as n approaches infinity:

\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)

Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.

Therefore, both series converge.

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Answer:

Total lost yards = 10 yards  

Step-by-step explanation:

Given:

First match = lost 3 yards

Second match = lost 5 yards

Third match = lost 2 yards

Find:

Total lost yards

Computation:

Total lost yards = First match + Second match + Third match

Total lost yards = 3 yards + 5 yards + 2 yards

Total lost yards = 10 yards  

The fraction of shape C is shaded is 29/35.

A number that designates a piece of a whole is used to denote a fraction in mathematics. A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item. A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.

The portion of shape A shaded = 2/5

The portion of shape B shaded = 4/7

So,

The portion of shape C shaded is given by

1 - B + A

= 1 - 4/7 + 2/5

= (35 - 20 + 14)/35

= (49 - 20)/35

= 29/35

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\({ \large{ \implies{ \sf{Area \: \: of \: \: Trapezium = \dfrac{1 \times (b1 + b2) \times h}{2} }}}}\)

\({ \large{ \implies{ \sf{Area = \dfrac{1 \times{ \cancel {16 } {}^ { \: \: 8} }\times 19}{ \cancel2} }}}}\)

\({ \large{ \therefore \: { \sf{Area = 1 9\times 8 = { \boxed{ \sf{152} \: \: m {}^{2} }}} \: \: Ans.}}}\)