Select the correct answer. What is the end behavior of the cube root function represented by this graph? The graph of radical function passes through (minus 5, 2), (3, minus 2), and (6, minus 5) also intercepts the x-axis at 2 units and y-axis at 1 unit A. As x decreases in value, decreases in value. As x increases in value, increases in value. B. As x decreases in value, increases in value. As x increases in value, increases in value. C. As x decreases in value, increases in value. As x increases in value, decreases in value. D. As x decreases in value, decreases in value. As x increases in value, decreases in value.

Answer: C (28)

Step-by-step explanation:

Use probabilities:

24/18 = x/21

Cross multiply: 18x=24*21

18x = 504

x=28

The Perimeter of the given figure is. we can find it by adding all the lengths of the sides of the triangle.

The given figure is a triangle and it has three sides.

The lengths of the sides are given as follows:

(-x²+4x) feet, (3x²+7) feet, and (2x - 1) feet.

The perimeter of the figure = Sum of the lengths of all the sides.

Now, we have to add the lengths of all the sides.

(-x²+4x) + (3x²+7) + (2x - 1).

Now, we have to add them in the highest degree order.

-x²+3x²+4x+2x+7-1

2x²+6x+6.

Therefore, the perimeter of the given figure is 2x²+6x+6.

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The probability that a resident who has only completed high school are aged 30-39 = 0.059

We know that the probability of event A is given by the formula,

P(A) = number of possible outcomes of event A / total number of outcomes

We need to find the probability that a resident who has only completed high school are aged 30-39.

Let event A: a resident who has only completed high school are aged 30-39.

The number of  resident who completed high school and aged 30-39 = 933

And the total nuember of residnts = 15818

Using probability formula the required probability would be,

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

P(A) = 933/15818

P(A) = 0.059

This is the required probability.

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Find the complete question below.

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

  Parallelogram

Step-by-step explanation:

You want the name of the figure defined by vertices I(2, -3), J(0, 0), K(4, 6) and L(6, 3).

A quick check will tell if the figure is a parallelogram. The diagonals will have the same midpoint.

  (I +K)/2 = (J +L)/2

  I +K = J +L . . . . . . . . multiply by 2 to make the math easier

  (2, -3) +(4, 6) = (0, 0) +(6, 3) . . . . . substitute the given points

  (6, 3) = (6, 3) . . . . . . . . . . . . . . the sums are equal

The figure is a parallelogram.

A parallelogram can be a rectangle, square, or rhombus. We can determine if it is a square or rectangle by looking at the lengths of the diagonals. First, we need to find the differences of their endpoints.

  K -I = (4, 6) -(2, -3) = (4 -2, 6 +3) = (2, 9)

  L -J = (6, 3) -(0, 0) = (6, 3)

The lengths will be the root of the sum of the squares. We can compare the lengths by comparing the sum of the squares (without taking the root):

  2² +9² = 4 +81 = 85

  6² +3² = 36 +9 = 45

The diagonals are different lengths, so the figure is not a rectangle.

We can make another check to see if the figure is a rhombus. In a rhombus, the diagonals are perpendicular. The "dot product" of the differences we just found will be zero in that case.

  (2, 9)•(6, 3) = (2)(6) +(9)(3) = 12 +27 = 39 ≠ 0

The diagonals are not perpendicular, so the parallelogram is not a rhombus.

The most specific name of the figure is Parallelogram.

__

Additional comment

A lot is answered by graphing the points. The slopes and lengths of the lines can be found by counting grid squares between points horizontally and vertically. It is easy to see the diagonals cross at their midpoints, and that they are different lengths.

You can figure segment lengths and slopes for showing opposite sides are the same lengths and parallel, but we find the diagonal midpoint computation to be much easier for showing the figure is a parallelogram.

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Answer:

18) z + 5 = 4z - 4

3z = 9, so z = 3

z + 5 = 8

The side lengths of this equilateral

triangle are 8 units.

19) 2x + 6.8 = 8x + 1.4

6x = 5.4, so x = .9

2(.9) + 6.8 = 1.8 + 6.8 = 8.6

The congruent side lengths of this

isosceles triangle are 8.6 units.

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Yep, all of them are correct. Great job!

The graph of the rational function is attached accordingly.

A rational function in mathematics is any function that can be described by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials. Polynomial coefficients do not have to be rational numbers; they might be in any field K.

A rational function is defined as a polynomial divided by a polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all integers except the denominator's zeros. example: f(x) = x / (x - 3).

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The area of the region inside the inner loop is 4.5π

Using the formula A = 1/2 ∫[a,b] r^2(θ) dθ. In the case of the limaçon's inner loop, a has been set as 0, b is equal to π, and r equals 3 - 6 cosθ. Together, these values give us the following equation expression for the area:

A = 1/2 ∫[0,π] (3 - 6 cosθ)^2 dθ

= 1/2 ∫[0,π] (9 - 36 cosθ + 36 cos^2θ) dθ

= 1/2 [9θ - 36 sinθ + 12 sin(2θ)]|[0,π]

= 1/2 [9π]

= 45π

Therefore, the area of the inner loop in this instance is calculated as 4.5π.

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I Hope This Helps!

Answer

= 4.5π

The statement about the graph of y = 0.25⋅2^x that is true is:

The coordinates of the y-intercept are (0, 1/4).

We have,

The statement that is true about the graph of y = 0.25(2^x).

The coordinates of the y-intercept are (0, 1/4).

We can see this by setting x = 0 in the equation,

which gives,

y = 0.25 x 2^0 = 0.25 x 1 = 1/4.

Therefore, the y-intercept is at (0, 1/4).

The other statements are false:

The graph increases from left to right, since 2^x increases as x increases.

The coordinates of the y-intercept are not (0, 14), but rather (0, 1/4).

There is no vertical asymptote in the graph.

The x-intercept occurs where y = 0, which gives 0.25 * 2^x = 0. Solving for x gives x = -2.

Therefore, the coordinates of the x-intercept are (-2, 0), not (2, 0).

Thus,

The statement about the graph of y = 0.25⋅2^x that is true is:

The coordinates of the y-intercept are (0, 1/4).

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The solution to the division operation is:

6x = 30

Division is simply one of the four basic maths operations of arithmetic. The other operations are namely addition, subtraction, and multiplication. At an elementary level, we can say that the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.

Now, we want to find the division operation given as: 30 ÷ x = 6

If the unknown number is x, then we can say that:

30/x = 6

6x = 30

Thus, that is the solution to the division problem.

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The area of each of the pieces will be 9/16 m²

Given that =

Dimension of the rectangular paper:

length = 3/2 m

breadth = 3/4 m

Olivia cuts the paper into two pieces along its diagonal.

We need to find the area of the pieces,

Olivia will cut the rectangular paper along its diagonal into two pieces.

After cutting she will get two triangular pieces, which will be congruent to each other by SAS congruency.

∴ Area of each of the triangular pieces will be given by,

= ½ × Area of the rectangular paper

= ½ × [length × breadth]

= ½ × 3/2 × 3/4

= ½ × 9/8

= 9/16

Hence, the area of each of the pieces will be 9/16 m²

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The equation of the function y = -2(1.03)^x  is a growth function i.e. A Growth 3%

From the question, we have the following parameters that can be used in our computation:

y = -2(1.03)^x

An exponential function is represented as

y = ab^x

If b > 0, then it is a growth function

Otherwise, it a decay function

Using the above as a guide, we have the following:

y = -2(1.03)^x  -- growth

This also means that the rate of growth is 3%

Hence, the function y = -2(1.03)^x  is a growth function

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From the figure, the values of |BC| = 13cm,|AC| = 17cm,  |DB| = 36cm, |DC|= 8cm, |DE| = 24cm, |EC| = 18 cm, |EA| = 21cm

The sine rule, also known as the law of sines, is a relationship that states that side “a” divided by the sine “a” is equal to side “b” divided by the sine “b”. It can be used to find unknown lengths or angles of a triangle and its formula can be written as Sin A/a

The sine rule states that

a/sinA = b/sinB = c/sinC

To find the value of |BC| using the above formula.

a/sin41 = 20/sin78

a= (20/sin78 ÷sin41)

a = 20* 0.6561 /0.9782

a = 13cm

/BC/ = 13cm

To find |AC| using the same formula

a/sinA = b/sinB = c/sinC

note that <A = 180 - (78+41) = 61

b/sin61 = 13/sin41

b = (13*sin61)/sin41

b = 13* 0.8746/0.6561

b = 17cm

/AC/ = 17cm

To find /DB/ using the same formula

a/sinA = b/sinB = c/sinC

Note that <DCB = 180 - (60+31)  = 180-91 = 89

c/sin89 = 31/sin60

c = 31 / 0.8660 ÷ 0.9998

c = 36cm

/DB/ = 36cm

To find /DC/ using the same formula

a/sinA = b/sinB = c/sinC

b/sin31 = 13/sin60

b = 13*sin60)/sin31

b = 13*0.5150 /0.8660

b = 7.7cm

|DC| = 8cm

To find /ED/ using the same formula

a/sinA = b/sinB = c/sinC

Note that <DCE = 180- (36+15) = 129

Tis implies that

c/sin129 = 8/sin15

c= (8*0.7771)/0.2588

c = 24 cm

To find |EC| using the same formula

a/sinA = b/sinB = c/sinC

d/sin36 = 8/sin15

d*sin15 = 8*sin36

d= (8*sin36)/sin15

d = (8*0.5878)/ 0.2588

d = 18cm

|EC|= 18 cm

Finally, To find |EA| using the cosine  formula

Note that < ECA = 180-78 = 102

c² = a² +e²-2*aecos102

c²= 18²+8²-2*18*8*-0.2079

c² = 324 +64 +60

c² = 448

c √448

c = 21cm

|EA| = 21cm

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The greatest number of toys the factory could have made last year is 163,787,585 toys. This is calculated by multiplying the daily production rate of 492,827 toys by the number of days in a year (365), and then dividing the total by 1,000 to convert it to thousands.

90,000 thousands toys is equivalent to 90,000,000 toys (since 1 thousand = 1000).

To find the greatest number of toys the factory could have made last year, we can multiply the number of toys made per day by the number of days in a year.

Since there are 365 days in a year, the factory could have made

492,827 toys/day x 365 days = 179,847,755 toys

However, since the question asks for the greatest number of toys the factory could have made, we need to take into account any possible missed production days (e.g. holidays, maintenance, etc.).

Assuming the factory operated at full capacity for 90% of the year, the greatest number of toys they could have made would be fin my multiplying,

492,827 toys/day x 365 days x 0.9 = 163,787,584.5 or approximately 163,787,585 toys.

Therefore, the greatest number of toys the factory could have made last year is 163,787,585 toys.

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--The given question is incomplete, the complete question is given

"A toy factory makes 492,827 toys each day. a factory made about 90,000 thousands toys last year. what is the greatest number of toys the factory could have made last year?'--

Answer:

the distribution of a company's earnings to its shareholders

Step-by-step explanation:

Answer:

h=4

Explanation:

Area of a parallelogram can be calculated by using the formulae :

A=bh ,

where A = Area, b = Base Length and h = Height

Therefore, by using the given information,

∴ 24 = 6h

∴ h=4c

Answer:

9.35

Step-by-step explanation:

P=SxSxS

=3.2+4.25+2.8

=9.35

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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The equation of the line that is parallel to y = 6x + 1 that passes through the point (-7, 1) is y = 6x + 43.

Given that,

A line is parallel to  y = 6x + 1.

This line passes through (-7, 1).

We have to find the equation of the line.

y = 6x + 1 is in the form of a slope intercept form, which will give the slope as 6.

Any line parallel to this line will have the same slope.

The line parallel to this will be of the form,

y = 6x + c

This line passes through (-7, 1).

Equation of the line is,

1 = (6 × -7) + c

c = 43

Equation of the line is y = 6x + 43.

Hence the equation of the line is y = 6x + 43.

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Considering the definition of an equation,the equations that represents Andrea's money in the bank and Grandparents's money in the bank are y= 10 + 9x and y= 50 + 2x respectively

An equation is the equality existing between two algebraic expressions connected through the equals sign. One or more unknown values appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Being "x" the number of weeks, and knowing that:

the equations in this case is:

Andrea's money in the bank= y= 10 + 9x

Grandparents's money in the bank= y= 50 + 2x

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A graph of this exponential equation [tex]y = 2(1 -\frac{3}{4} )^x[/tex] is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential function [tex]y = 2(1 -\frac{3}{4} )^x[/tex] as shown in the graph attached below.

In conclusion, we can reasonably infer and logically deduce that the graph of this exponential equation represent an exponential decay.

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Area of the shape is 70 units²

We have,

The given shape is a trapezium.

The area of the trapezium.

= 1/2 x height x (sum of the [parallel sides)

Now,

Height = 7

Parallel sides = 10 and 10

So,

Area of the shape.

= 1/2 x 7 x (10 + 10)

= 1/2 x 7 x 20

= 7 x 10

= 70 units²

Thus,

The area of the shape is 70 units²

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Answer:

I apologize, but I cannot see the Venn diagram that you mentioned in your question. However, I can help you understand how to use the given events A and B to answer questions related to probability.

1. What is the probability that the student is a member of either the Volleyball Club or the Math Club or both?

To find the probability that the student is in A or B, we need to add the probabilities of A and B and subtract the probability of their intersection (i.e., students who are members of both clubs). Symbolically, P(A or B) = P(A) + P(B) - P(A and B).

2. What is the probability that the student is not a member of either the Volleyball Club or the Math Club?

Since Ivanna is not a member of either club, there are 12 - 1 = 11 students who are members of at least one club. Therefore, the probability that a student is not in either club is (number of students not in A or B) / (total number of students) = (1/12).

3. What is the probability that the student is a member of the Volleyball Club given that the student is in the Math Club?

To find this conditional probability, we need to divide the probability of the intersection of A and B (i.e., students who are members of both clubs) by the probability of B (i.e., students who are in the Math Club). Symbolically, P(A given B) = P(A and B) / P(B).

I hope this helps! Let me know if you have any other questions.

The measures of the angles X and Y in the intersecting secants and tangents are 52.5 degrees and 35 degrees

From the question, we have the following parameters that can be used in our computation:

intersecting secants and tangents

Using the theorem of intersecting secants and tangents, we have

x = 1/2(140 - 35)

Evaluate the difference of 140 and 35

So, we have the following representation

x = 1/2 * 105

Evaluate the product of 105 and 1/2

So, we have the following representation

x = 52.5 degrees

if the lines represented by the arrows are parallel lines, then we have

y = 35 degrees

Otherwise, the question  has missing details to solve for y

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The slope of this line is equal to 3/5.

In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points (0, 0) and (5, 3) into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3 - 0)/(5 - 0)

Slope (m) = 3/5.

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[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$225\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &5 \end{cases} \\\\\\ A = 225[1+(0.06)(5)]\implies A=225(1.3) \implies A = 292.5[/tex]

The y-intercept represents the base price of $200 for airfare from NYC.

The slope represent a cost of $0.30 cents per mile traveled.

According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their fare.

According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided about this trip, a linear equation that models the situation is given by;

y = mx + c

y = 0.30x + 200

when x = 2000, we have;

y = 0.30(2000) + 200 = $800.

when y = 500, we have;

500 = 0.30x + 200

300 = 0.30x

x = 1000 miles.

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The solution is:  ¼The answer is no because all have an equal probability and the possible outcomes for this can be HH or HT.

Here, we have,

Supposing that the coin is unbiased, and that landing on head and tail are exhaustive events.

So, P (first toss resulting in head) = 1/2and P (second toss resulting in a tail) = 1/2.

The two are independent events, necessary probability (their product) is 1/4.

Another way to see it as:

Possible outcomes: HH, HT, TH and TT, each with equal probability.

Hence, ¼The answer is no because all have an equal probability and the possible outcomes for this can be HH or HT.

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complete question:

On a single toss of a fair coin, the probability of heads is 0.5 and the probability of tails is 0.5. if you toss a coin twice and get heads on the first toss, are you guaranteed to get tails on the second toss? explain.