Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $ . The florist will break-even after one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).

Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.

We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.

We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.

Answer:

Theres more than one answer so b and a

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

for every one cup there are 3 one third servings so all you have to do is simply multiply 3 by 6.

Answer:

i think 18 because if it was 2 cups it will be 6 , cheack if 18 in ur choices

Step-by-step explanation:

The median number of emails sent per day in the given survey is 23.

To find the median, we first need to arrange the data in order from smallest to largest

20 20 20 21 22 22 22 23 23 24 24 25 26 26 27 27 27 27 27 27

The median is the middle value in the ordered list. Since there are 20 observations, we can find the median as follows

The 10th observation is 24, which is the first value greater than or equal to the median.

The 9th observation is 23, which is the last value less than or equal to the median.

Therefore, the median number of E-mails sent per day is 23.

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The probability that a randomly selected observation is between 13 and 65 is 0.867. Therefore, the correct option is B.

We are required to determine the probability that a randomly selected observation of the uniform random variable x is between 13 and 65 with c = 10 and d = 70.

1. Calculate the range of the variable: d -

c = 70 - 10 = 60

2. Calculate the length of the interval of interest:

65 - 13 = 52

3. Divide the length of the interval of interest by the range of the variable:

52 / 60 = 0.867

So, the probability that a randomly selected observation of the uniform variable x lies between 13 and 65 is 0.867, which corresponds to option B.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

3/7 produces a rational number when it is multiplied by 1/3.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

The product of any rational number and any irrational number is always a irrational number.

According to the given question

We have,

1/3 a rational number.

Some numbers , π,  2.236067978, 3/7, √12

Since, π is an irrational number as it is not recurring and not terminating, so its behavior is not known .

And we know that, when we multiply a rational number with a irrational number we get a irrational number.

Therefore, π × \(\frac{1}{3}\) = irrational number.

Similarly,

2.236067978.... is a irrational number because it is not terminating and not recurring. And its behavior in not known.

Therefore,   2.236067978 × \(\frac{1}{3}\) = irrational number

3/7 is a rational number

So, \(\frac{3}{7}\) × \(\frac{1}{3}\) = \(\frac{1}{7}\) is a rational number.

√12 is a irrational number.

So, √12 × \(\frac{1}{3}\) = irrational number

Hence, 3/7 produces a rational number when it is multiplied by 1/3.

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Step-by-step explanation:

Solution:

Given:-

(X+y,y+3)=(6,2y)

Equating corresponding elements,we get,

X+y=6------(1)

y+3=2y-----(2)

solving equation (2),

y-2y=-3

-y=-3

y=3.

Now, substituting y=3 in equation (1)

X+3=6

X=6-3

X=3

Therefore,. (X,Y) = (3,3)

Answer:

242

Step-by-step explanation:

3 dvied by 22 is 7.3

7.3 times 33=242

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Answer:

Step-by-step explanation:

Corresponding angles

Internal angles

Interior alternate

Vertical ( or opposite)

Don't know

Adjacent angles

Remote adjacent

Exterior alternate.

Sorry don't know all of them.

I don't think there is any relation between and 6 and angle 14.

Answer:

Step-by-step explanation: he has to work 3 hours because

                                                                              $40 = 4 hours

                                                                              $40 x 3 hours = $120

The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.

In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:

1/2 mv^2 = mgh

where v is the velocity of the cylinder at the bottom of the incline.

The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:

v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)

Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

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The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

1249. 5 inches

Step-by-step explanation:

Pole length , Pl = 2 fts

Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft

Tower length, Tl = 125 ft

Tower shadow, Ts = x

Pl / Ps = Tl/ Ts

2/ 1.666 = 125 / x

Cross multiply

2x = 125 * 1.666

2x = 208.25

x = 104.125 ft

x = 104.125 * 12 = 1249. 5 inches

Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Therefore, the reliability of the results may be questioned due to the small sample size and the fact that the observed and expected counts in some cells are too small.

The fact that two of the six observed counts are 5 or less should make you the most worried about the reliability of the results of the test in this case. This is because when the observed counts in a cell are too small, it is difficult to draw reliable conclusions from them. In such cases, the chi-squared statistic may not accurately reflect the true relationship between the variables being studied. This is because the chi-squared statistic is based on the difference between the observed counts and the expected counts, and if the observed counts are too small, the chi-squared statistic may be biased and not accurately reflect the true relationship between the variables.
Moreover, the fact that two of the six expected counts are less than 5 also raises concerns about the reliability of the results. This is because when the expected counts in a cell are too small, it may indicate that the sample size is too small or that the sample is not representative of the population being studied. In this case, the sample size was only 300 black women, which may not be representative of all black women.

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A triangle has 3 sides

In Zn, the commutative law for addition holds as a + b = b + a due to modulo n operation. The associative law also holds as (a + b) + c = a + (b + c) in Zn, ensuring order of addition does not affect the result.

The commutative law for addition states that a + b = b + a for all integers a and b. In Zn, this law holds because the addition operation is performed modulo n. This means that the results of adding two integers are the same regardless of the order in which they are added.

For example, in Zn = {0, 1, 2, 3, 4}, we have that 1 + 2 = 3 and 2 + 1 = 3. Therefore, the commutative law holds in Zn.

The associative law for addition states that (a + b) + c = a + (b + c) for all integers a, b, and c. In Zn, this law also holds because the addition operation is performed modulo n.

For example, in Zn = {0, 1, 2, 3, 4}, we have that (1 + 2) + 3 = 1 + (2 + 3) = 1 + 5 = 0. Therefore, the associative law holds in Zn.

In general, the commutative and associative laws for addition hold in any set where the addition operation is performed modulo n. This is because the order in which elements are added does not affect the result, and the sum of any two elements is always less than or equal to n.

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The correlation coefficient, denoted as "r," can take values between -1 and 1, inclusive. In summary, the possible values of the correlation coefficient range from -1 to 1.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative linear relationship, meaning that as one variable increases, the other decreases in a perfectly predictable manner.

A value of 1 indicates a perfect positive linear relationship, where both variables increase or decrease together in a predictable manner. A value of 0 indicates no linear relationship between the variables.

The correlation coefficient can take any value between -1 and 1, representing varying degrees of linear association. Values close to -1 or 1 indicate a strong linear relationship, while values close to 0 suggest a weak or no linear relationship. The sign of the correlation coefficient indicates the direction of the relationship: negative for a decreasing relationship, positive for an increasing relationship.

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Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

Answer:

315 dm3

Step-by-step explanation:

\(V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315\)

Answer:

Step-by-step explanation:

Well, since 24+16 is 40, this would mean we get 40 ounces of purple paint. There is also a 150% difference between 24 and 16, so 2/3 times 24 = 16.

2/3 of the mixture is blue paint, while 1/3 of the mixture is red paint, so 1/3 of 72 is 24.

Thus, the answer is 24 ounces of red paint.

\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \theta =1.5 \end{cases}\implies s=(33)(1.5)\implies s=49.5\)

Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

\(r^2\) → (1 3)(2 4)(5 7)(6 8)

\(r^3\)→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)

\(sr^3\) → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

\(r^0\) = 1

\(r^1\)= r

\(r^2\) = rr

\(r^3\) = rrr

\(s^0\)= 1

\(s^1\) = s

\(s^2\) = 1

\(s^3\) = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)

\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

\(sr^2\) → (1 6 3 2)(4 7 5 8)

\(sr^3\) → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

Step-by-step explanation:

Perimerter is 9.6ft

Answer:

a

Step-by-step explanation:

the graphic is step by step

Answer:

A

Step-by-step explanation:

Since the first number to the problem is -4, you start at -4 on the number line. The next number is +7.5 so you would move 7.5 spaces to the right on your number line. Finally, where you land would be your answer.

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