What is the median value of the data set shown on the line plot?
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Answer:

1/6

Step-by-step explanation:

To solve this, multiply the denominator by 2, which would be 2x3 which would be 6.

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Answer:

  sin(θ) = -12/13

Step-by-step explanation:

The distance from the origin to the given point is ...

  r = √(5² +(-12)²) = √169 = 13

For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...

  sin(θ) = y/r

  sin(θ) = -12/13

9514 1404 393

Answer:

Step-by-step explanation:

1. In general, restrictions on rational functions refer to values of the variable that make the denominator zero. The function will be undefined in that case. On a graph, such a location will show up as a "hole" or a vertical asymptote.

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2. If ±2 are excluded from the domain, we expect factors of (x-2)(x+2) in the denominator. That is, the denominator will have a factor of (x²-4). (There may be other factors that do not have real zeros.)

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3. A rational expression is a fraction the same as any other. The usual rules of addition, subtraction, multiplication, and division apply. For addition and subtraction, it can be useful to identify a common denominator. For multiplication and division, that is not so essential.

Answer: It costs about 7.32 to buy enough lemons.

Step-by-step explanation:

Each lemon yields 2 tablespoons, which is equal to one fluid ounce.  

8 fluid ounces = one cup, 4 fluid ounces = half a cup

Four lemons will provide juice for one pie.

Cost of one pie = 4  0.61 =  2.44

Cost of three pies = 2.44   3 =  7.32

I really hope this helped. If not than I'm sorry.

Answer: $4.92

Step-by-step explanation: I used quick mental math.

Answer:

y=9.75x+60

Step-by-step explanation:

We want our equation to look like y=mx+b

Let's start out by calculating the slope

[tex]\frac{118.5-89.25}{6-3}=9.75[/tex]

we have

y=9.75x+b

we know that when x= 3 y= 89.25

89.25=9.75(3)+b

solve for b = 60

Answer:

120°

Step-by-step explanation:

30° x 4 = 120°

Full turn is 360

half is 180

and 180 degree = 6 parts

180÷6=30

Answer:

(1, -7)

Step-by-step explanation:

If you need the work:

5x+3y =-16

5x= -3y -16

x= -3/5y - 16/5

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

Substitute x

-10x-3y=11

-10(-3/5y-16/5)-3y=11

y= -7

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

Substitute y

x= -3/5(-7) -16/5

x= 1

Answer:

part B needs to change

Step-by-step explanation:

Answer:

Area = 6x - 6

Step-by-step explanation:

Given:

Height = 2x - 2

Base = 6

Required:

Area

Solution:

Area of triangle = ½*b*h

Area of the triangle = ½*6*(2x - 2)

Area = 3(2x - 2)

Apply distributive property

Area = 6x - 6

Answer:

third angle is 32 ahdbd ajdhbdd audujdhdbd

Answer:

(9-8) + 8 = 9

Step-by-step explanation:

Answer: Third option

Step-by-step explanation: doing a point giveaway stay tuned!

Answer:

8.8 m

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2} bh[/tex]

38.28 = [tex]\frac{1}{2}[/tex] * b * 8.7

b = 38.28 * 2 / 8.7

b = 8.8 m

Step-by-step explanation:

(0,0) (1,45) (2,90) (3, 135) (4, 180) etc, etc

Answer:

(4, 180)

Step-by-step explanation:

Choices: (3,5), (4,60), (4,180), (5,9)

y = 45x

The value of y is 45 times the value of x.

The only point in which that is true is (4, 180) since 45 * 4 = 180.

Answer: (4, 180)

Answer:

scalene

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

Equilateral means all the sides are the same.

Isosceles means only two are the same.

Scalene means none are the same.

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Answer:

  14.  C

  15.  C

Step-by-step explanation:

14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.

The horizontal asymptote is 0, not -1, eliminating choice D.

The curve is best described by the equation of choice C.

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15. The domain and range of an unadulterated exponential function are ...

  domain: all real numbers; range: y > 0 . . . . matches choice C

Answer:

[tex]s = 4\pi {r}^{2} \\ \frac{ds}{dr} = 8\pi r =8\pi(2) = 16\pi \\ from \: chain \: rule \\ \frac{ds}{dr} = \frac{ds}{dt} . \frac{dt}{dr} \\ but \: \frac{ds}{dt} = 1 \\ 16\pi = 1 \times \frac{dt}{dr} \\ \frac{dt}{dr} = 16\pi \\ \frac{dr}{dt} = ( \frac{dt}{dr} ) ^{ - 1} \\ \frac{dr}{dt} = \frac{1}{16\pi} [/tex]

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]

z-value for 95% confidence = 1.96

E = 0.04  (given)

[tex]p=\dfrac{40}{200}=0.2[/tex]

[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]

Required sample size = 385

If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]

Required  sample size = 601.

Answer:

40 ounces

Step-by-step explanation:

Every week the kittens roughly gain about 5 ounces. The like was at 35 on week 10, so on week 11 it would be 40.

Answer:

y = 2x+2

As we can see X has 0 while Y has 2 already, meaning the Y intercept has to be 2.

Answer:

its B

Step-by-step explanation:

y=2x

Answer:

x^2+4x

Step-by-step explanation:

(3x^2+10x+20)-(6x+11) = 3x^2+4x+9

(3x^2+4x+9)-(2x^2+9) = x^2+4x

The polynomial that represents the measure of the third side of the plot of land is x² + 4x.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given two sides of a triangular plot of land.

6x + 11

2x² + 9

Perimeter = 3x² + 10x + 20

Perimeter of a triangle = Sum of the three sides

Let A represents the third side.

6x + 11 + 2x² + 9 + A = 3x² + 10x + 20

2x² + 6x + 20 + A = 3x² + 10x + 20

A = 3x² + 10x + 20 - (2x² + 6x + 20)

A = x² + 4x

Hence the measure of the third side is x² + 4x.

Learn more about Perimeter here :

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Answer:

A the end of three years you would earned $48.96 in interest.

Step-by-step explanation:

Answer:

3/25

Step-by-step explanation:

There are 10 total marbles

P(yellow) = yellow/total = 4/10 = 2/5

We replace it so there are 10 marbles

P(2nd marble blue) = blue /total = 3/10

Multiply the two probabilities together

P(yellow, replace, blue) =2/5*3/10 = 3/25

Answer:

3/25

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The legs of the triangle have lengths 9 and 12.  The Pythagorean Theorem says [tex](\text{hypotenuse})^2=(\text{leg})^2+(\text{leg})^2[/tex].

[tex]x^2=9^2+12^2=81+144=225\\x=\sqrt{225}=15[/tex]

Yes, these values make a Pythagorean Triple (3 integers that fit the Pythagorean Theorem)

There are infinitely many of these triples:  3,4,5   5,12,13 are examples.  The triple in this problem is 3 times the 3,4,5 triple.

x= 15

No

H²= O²+A²

x²= 9²+12²

x²= 81+144

x²= 225

x= √225

x= 15

Answer:

10.2 ft

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\[/tex]

64 + [tex]b^{2}[/tex] = 169

[tex]b^{2} = 105\\[/tex]

b=[tex]\sqrt{105}[/tex]

b= 10.2469

Answer:

The shape is a triangle, not a quadrilateral.

Step-by-step explanation:

A= hbb/2 = 11·15/2 = 82.5

The area of the triangle is 82.5 yd².

Answer:

1/5 to 1/5

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.

Hope this helps!