compare the box plot for two data sets.which statement is true{in iready diagnostic

Answer:

The lest distance in feet that could have been traveled is 480 + 480·√3 feet or approximately 1311.38 feet

Step-by-step explanation:

The parameters given are;

Six boys equally spaced round a circle

Radius of circle = 40 feet

Angle subtended by the arc between 2 boys = 360°/6 = 60°

Path of motion of each boy = To the other non adjacent boys = Inscribed Kite

∴ Path of motion of each boy = Right kite

Interior angles of the right kite = 90°, 90°, 120°, 60° (Angles subtended at the center = 2 × angle at the circumference)

Hence distance traveled by each boy = Perimeter of the right kite

Therefore, the distance traveled by each boy = 2 × (Long diagonal × sin((largest angle)/2) + Long diagonal × cos((largest angle)/2)

The distance traveled by each boy = 2 × (80 × sin(60) + 80 × cos(60))

\(The\, distance\, traveled\, by \, each\, boy = 2\times \left (80\cdot \dfrac{\sqrt{3}}{2}+80\times \dfrac{1}{2} \right )\)

\(The\, distance\, traveled\, by \, each\, boy = 80 + 80\cdot \sqrt{3}}\)

Hence we have;

The distance traveled by the six boys = 6 × (80 + 80·√3) = 480 + 480·√3 feet.

The lest distance in feet that could have been traveled = 480 + 480·√3 feet = 1311.38 feet.

Answer:

No lol that seems very confusing but was it 26.6?

Answer:  26.6

Step-by-step explanation:

7 times 1/5= 7/5

7/5 times 19= 26.6

I hope ti helps and may God bless you! have a nice day, bye!

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

60

Step-by-step explanation:

if she learns 5 new facts each chapter and has 12 chapters to read you should multiply 12 and 5

The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

im not sure ask a professional

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

Sorry I dont really understand wish I could help:(

Step-by-step explanation:

Answer:

\(\sqrt{10}\)

\(\sqrt{5 } ^{2} + \sqrt{5 } ^{2} = x^{2}\)

\(x^{2} =10\)

Step-by-step explanation:

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

Answer:

2

Step-by-step explanation:

(10 - 0)/(6 - 1) = 2

Answer:

f(x-4) = x²-8x + 17

f(x-4)-f(-4) = x²-8x

Step-by-step explanation:

Given the function:

f(x) = x^2+1

f(x-4) = (x-4)^2+1

f(x-4 ) = x² - 8x + 16 + 1

f(x-4) = x²-8x + 17

For f(x-4)-f(-4)

f(-4) = (-4)²+1

f(-4) = 16+1

f(-4) = 17

f(x-4)-f(-4) = x²-8x + 17 - 17

f(x-4)-f(-4) = x²-8x

The weight of the gem is 0.92 carat.

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables receive this name because, in an experiment, their values are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Here,

Weight is x (independent variable)

Cost is y (dependent variable)

slope is (4375-3543)/(0.6-0.4)=832/0.2=$4160 /carat

Point slope formula y-y₁=m(x-x₁), where m slope and (x₁,y₁) point

y-4375=4160(x-0.6)

y-4375=4160x-2496

a) y=4160x+1879

b) y=4160(0.73)+1879=3036.80+1879=$4915.80

c) For every increase of 1 carat, the price increases $4160.

d)5706.20=4160x+1879

3827.2=4160x

x=0.92 carats

Therefore, the weight of the gem is 0.92 carat.

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\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

Answer:

Step-by-step explanation:

9.50 ÷ 1 = 9.50

18 ÷ 2 = 9.50

28.50 ÷ 3  = 9.50

38 ÷ 4 = 9.50

47.50 ÷ 5 = 9.50

Direct variation is the relationship between tow variables in which one is a constant multiple of other.

Here, If we take hours worked as 'x' and pay as 'y',

y = 9.50*x

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

\(H_o : \mu \leq 100\)

\(H_1 :\mu > 100\)

The numerical value for the test statistics is :

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.6}{0.8667}\)

z = 0.6923

At  ∝ = 0.05

\(t_{\alpha/2 } = 0.025\)

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.7}{0.8667}\)

z = 0.808

From the normal z tables

P value  =  0.2096

Solution:

First, let's simplify the equation. Then, let's graph it.

Now, let's graph the line. Graph attached~

The area of ΔQRS is 26.10 square units.

What is triangle?

A triangle is a closed, two-dimensional geometric shape with three straight sides and three angles.

To find the area of \($\triangle QRS$\), we can use the formula:

\($Area = \frac{1}{2} \times base \times height$\)

where the base and height are the length of two sides of the triangle that are perpendicular to each other. We can find these sides using trigonometry.

First, we need to find the length of side \($QR$\). We can use the Law of Cosines:

\($QR^2 = QS^2 + RS^2 - 2(QS)(RS)\cos(R)$\)

where \($R$\) is the angle at vertex \($R$\). Substituting the given values, we get:

\($QR^2 = 9^2 + 5^2 - 2(9)(5)\cos(57^\circ)$\)

\($QR \approx 8.02$\)

Next, we need to find the height of the triangle, which is the perpendicular distance from vertex \($R$\) to side \($QS$\). We can use the sine function:

\($\sin(R) = \frac{opposite}{hypotenuse}$\)

\($\sin(57^\circ) = \frac{height}{8.02}$\)

\($height \approx 6.51$\)

Now we can find the area of the triangle:

\($Area = \frac{1}{2} \times QR \times height$\)

\($Area = \frac{1}{2} \times 8.02 \times 6.51$\)

\($Area \approx 26.10$\) square units

Therefore, the area of \($\triangle QRS$\) is approximately \($26.10$\) square units.

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The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer:

x = 20/3 or x = -12/5

Step-by-step explanation:

Solve for x over the real numbers:

2 abs(x - 1) = x/2 + 8

Divide both sides by 2:

abs(x - 1) = 1/2 (x/2 + 8)

Split the equation into two possible cases:

x - 1 = 1/2 (x/2 + 8) or x - 1 = 1/2 (-x/2 - 8)

Expand out terms of the right-hand side:

x - 1 = x/4 + 4 or x - 1 = 1/2 (-x/2 - 8)

Subtract x/4 - 1 from both sides:

(3 x)/4 = 5 or x - 1 = 1/2 (-x/2 - 8)

Multiply both sides by 4/3:

x = 20/3 or x - 1 = 1/2 (-x/2 - 8)

Expand out terms of the right-hand side:

x = 20/3 or x - 1 = -x/4 - 4

Add x/4 + 1 to both sides:

x = 20/3 or (5 x)/4 = -3

Multiply both sides by 4/5:

Answer: x = 20/3 or x = -12/5

The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.

To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.

First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:

BC = AB * sin(BCA)

BC = 7.3 * sin(48°)

BC ≈ 5.429 cm

Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:

BH = AB - BC

BH ≈ 7.3 - 5.429

BH ≈ 1.871 cm

Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:

cos(BAH) = BH / AH

cos(BAH) ≈ 1.871 / 8.1

BAH ≈ arccos(1.871 / 8.1)

BAH ≈ 74.4°

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Answer:

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

Step-by-step explanation:

Given the equation

y = 5x

CHECKING TABLE A

x           y

5           1

10         2

15         3

substituting x = 5 in the equation

y = 5x

y = 5(5)

y = 25

Thus,

at x = 5, y = 25

Hence,

(5, 25) does not satisfy the table A.

substituting x = 10 in the equation

y = 5x

y = 5(10)

y = 50

Thus,

at x = 10, y = 50

Hence,

(10, 50) does not satisfy the table A.

substituting x = 15 in the equation

y = 5x

y = 5(15)

y = 75

Thus,

at x = 15, y = 75

Hence,

(15, 75) does not satisfy the table A.

Conclusion:

Table A does not represent the equation y = 5x

CHECKING TABLE B

x            y

1            5

2          10

3          15

substituting x = 1 in the equation

y = 5x

y = 5(1)

y = 5

Thus,

at x = 1, y = 5

Hence,

(1, 5) satisfies the table B.

substituting x = 2 in the equation

y = 5x

y = 5(2)

y = 10

Thus,

at x = 2, y = 10

Hence,

(2, 10) satisfies the table B.

substituting x = 3 in the equation

y = 5x

y = 5(3)

y = 15

Thus,

at x = 3, y = 15

Hence,

(3, 15) satisfies the table B.

Conclusion:

Table A represents the equation y = 5x

CHECKING GRAPH A

Given the equation

y = 5x

It is clear from graph A that

at x = 1, y = 5

at x = 2, y = 10

at x = 3, y = 15

Also

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

Aso the table indicates that at x = 0, y = 0

Thus, the graph represents the equation y = 5x.

CHECKING GRAPH B

y = 5x

Putting x = 0,

y = 5(0) = 0

Thus, at x = 0, y = 0

But, the table B indicates that at x = 0, y = 5.

Thus, graph B does not represent the equation

Summary:

We conclude that:

Table B and Graph A represents the equation.

Hence, option D represents the equation.

Answer:

Table B and Graph A

Step-by-step explanation:

I took the quiz on  A P E X

Answer: 25%

Step-by-step explanation: