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What the value of k?
K=

Answer:

Divorced ; Never married

Step-by-step explanation:

The range of a dataset can be obtained from a boxplot by taking the difference of the readings of the minimum and maximum values. These values are culled from the boxplot by taking the reading on the endpoint of the lower whisker and endpoint of the upper whisker respectively. In the figure Given, we Can deduce that the divorced group and never married group have the widest range of time to relax

Maximum = 8

Minimum = 0

Estimated range: Maximum - Minimum = (8 - 0) = 8

Given:

The radius of the circle is 17 in.

Central angle of intercepted arc is 0.7 radians.

To find:

The length s of the intercepted arc.

Solution:

The formula for the length of intercepted arc is:

[tex]s=r\theta[/tex]

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.

Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get

[tex]s=17\times 0.7[/tex]

[tex]s=11.9[/tex]

Therefore, the length of the intercepted arc is 11.9 inches.

Answer:

y=-4x

Step-by-step explanation:

Select 2 points, I will be using (-1,2) and (0,-2)

As you can see, for every x unit to the left, there are four y units down

9514 1404 393

Answer:

  88°

Step-by-step explanation:

Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.

  arc MP = 2×∠MQP = 2×44°

  arc MP = 88°

Answer:

+ 7 and - 2

Step-by-step explanation:

Given

x² + 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

x² + 5x - 14 = (x + 7)(x - 2) ← in factored form

Answer:

p²q + 3pq³

Step-by-step explanation:

(p + 3q²) pq ← multiply each term in the parenthesis by pq

= p²q + 3pq³

Answer:

[tex]y = \frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

The graph equation

First, pick any two corresponding points on the line

[tex](x_1,y_1) = (2,0)[/tex]

[tex](x_2,y_2) = (4,1)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{1 - 0}{4 - 2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The line equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (2,0)[/tex]

[tex]m = \frac{1}{2}[/tex]

So:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = \frac{1}{2}(x - 2) + 0[/tex]

[tex]y = \frac{1}{2}x - 1 + 0[/tex]

[tex]y = \frac{1}{2}x - 1[/tex]

Answer:

2m^4 - 11m³ + m + 8

Step-by-step explanation:

(2m - 5m³) - (5m + 3m³ - 7m^4) + (8 - 3m³ - 5m^4 + 4m)

2m - 5m³ - 5m - 3m³ + 7m^4 + 8 - 3m³ - 5m^4 + 4m

7m^4 - 5m^4 - 5m³ - 3m³ - 3m³ + 2m - 5m + 4m + 8

2m^4 - 11m³ + m + 8

Answer:

8 + m - 11m^3 + 2m^4

Step-by-step explanation:

Add and subtract like terms:

8 + (2m - 5m +4m) + (-5m^3 - 3m^3 - 3m^3) + (7m^4 - 5m^4) =

8 + m - 11m^3 + 2m^4

9514 1404 393

Answer:

  2 : 1

Step-by-step explanation:

  purple : red = (2/3) : (1/3) = 2 : 1

The ratio of purple paint to red paint is 2 : 1.

Answer:

⅓ are red

So,

No. of red colors = 1/3 × 87 = 29

No. of purple colors = 2/3 × 87 = 2 × 29 = 58

So,

Ratio = 58:29

Ratio = 2:1

[tex] \\ [/tex]

Answer:

10y^7

Step-by-step explanation:

because 2x5=10

and when multiplying with powers you add the powers together so 4+3=7

now you have 10y^7

hope this helped!!

Answer:

10[tex]y^{7}[/tex]

Step-by-step explanation:

2[tex]y^{4}[/tex] · 5y³

10[tex]y^{3}+y^{4}[/tex]

10[tex]y^{7}[/tex]

Answer:

mark me brainliest

Step-by-step explanation:

10% increased

Answer:

10%

Step-by-step explanation:

100%-> 70

1%->0.7

77-70=7

7÷0.7=10

Answer:

See below

Step-by-step explanation:

26.    Domain:   {x|x ≥ 2}

         Range:    {y| y ≤ -3}

         Parent:    y = [tex]\sqrt{x}[/tex]

         Equation:  y = [tex]\sqrt{x - 2} - 3[/tex]

27.     Parent:  y = | x |

         Equation:  y = - | x + 2 | + 3

         Domain:  Reals

         Range:  {y | y ≤ 3}

Now, I am not going to do all 6 of these problems.  Hopefully the ones I did will give you an idea of what needs to be done.

I will tell you this:  28 is an exponential function

29 is a quadratic function,  30 is  an exponential function and 31 is a cubing function.  Good luck.

Answer:

slope: 1

y-intercept: (0,20)

Step-by-step explanation:

hope this helps

Answer:

slope: 1

y-intercept: (0, 20)

Answer:

44.29 grams

Step-by-step explanation:

82.69 - 38.4 gives you 44.29.

44.29 + 38.4 gives you 82.69.

Answer:

The Clubhouse and the Swimming Pool

Step-by-step explanation:

If you look closely the points are on the buildings. The X axis is left to right.

The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis

Answer:

club house and swimming pool

Step-by-step explanation:

club house and swimming pool both have an x-coordinate of 12.

Answer: 2⁵/₆ miles a day

Step-by-step explanation:

Lucia runs 5²/₃ miles a day. If Ronnie runs 2/4 of that then that means that Ronnie runs half of what Lucia runs.

Convert Lucia's distance to improper fractions:

= 17/3

Multiply this by 2/4:

= 17/3 * 2/4

= 34 / 12

= 17/6

= 2⁵/₆ miles a day

Answer:

40

Step-by-step explanation:

The median is the middle line of the box, which is the value 40. The lower quartile would be 35 and the upper quartile being 50.

Answer:

The answer is D

Step-by-step explanation:

30d = 30×d

Answer:

Step-by-step explanation:

option d is correct .

Answer:

150

Step-by-step explanation:

250 - 100

Answer:

Hello! answer: 200.96

Step-by-step explanation:

50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!

Answer:

200.96

Step-by-step explanation:

Khan academy

Answer:

you're answer is -2

Step-by-step explanation:

i hope this helped you have a nice day  :)

Answer:

[tex] { - 5.6}xy ^{2} + yx + 2x[/tex]

Answer:

no mode

Step-by-step explanation:

because their is no reptetion on the number

Step-by-step explanation:

Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.

Answer:

Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material. It was gaseous, filled with billions of stars.

Mark me brainliestt :)) ehehe

Answer :What words or phrases did the author use to express his opinion about city gardening?

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1  -1  3

1  -2 -2

The new coordinates of the vertices after a 90° clockwise rotation about the origin are:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

If we rotate a triangle 90° counter clockwise about the origin,

Then if one of its vertices be (x, y), it will be changed to (y, x).

The triangle is given as follows:

[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]

To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:

[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]

To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.

Let's denote the vertices of the triangle as A, B, and C.

A = (-1, -1)

B = (2, -1)

C = (2, 3)

Applying the rotation matrix to each vertex, we have:

[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]

[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]

[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]

Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:

A' = (1, -1)

B' = (1, 2)

C' = (-3, 2)

This can be written as follows:

[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]

Learn more about the rotating triangle here:

https://brainly.com/question/22878771

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