Describe methods you can use to show a proportional relationship between two variables ,x and y. Each method, explains how you can find the unit rate and the slope.

Answer:

  34°

Step-by-step explanation:

The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.

  a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A

Solving for the angle, we get ...

  A = arccos((b² +c² -a²)/(2bc))

Filling in the numbers with "a" being the shortest side, we have ...

  A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)

  A ≈ 34.113°

The smallest angle, ∠J, is about 34°.

Answer:

b

Step-by-step explanation:

Answer:

14,7

Step-by-step explanation: if it is being divided by 2 it is 14 and 7

Answer:

26 ≤ x ≤ 39 where x is # of hours

Step-by-step explanation:

If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:

245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)

Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.

Answer:

E.  y = 2/3x

Step-by-step explanation:

You need to make an equation in slope-intercept form.  

First, you need to find the slope.  You can do this by taking two points and dividing the difference of the y's by the difference of the x's.  I will use the first two points, but you can pick whichever points you want and still get the right answer.  Also, the values in the left column will be x's, and the values in the right column will be y's.

8 - 2 = 6

12 - 3 = 9

6/9 = 2/3

The slope is 2/3.  The only equation with this value is E.

Answer:

15

Step-by-step explanation:

Answer:

21.213

Step-by-step explanation:

Answer:

Third one 4x+9

Step-by-step explanation:

We khow that any any real number inside the root should be positive

4x+9 shoul be positive wich can be expressed mathematically by:

4x+9≥0

Answer:

x = 4

Step-by-step explanation:

Given

4.5x = 18 ( divide both sides by 4.5 )

x = 4

Answer:

x=4

Step-by-step explanation:

to isolate x, we need to divide both sides by 4.5, and 18/4.5 is equal to 4, so x=4.

Answer:

2 < h <= 3

Step-by-step explanation:

4 + h <= 7

h <= 3          (subtract 4 on both side)

h + 1 > 3

h > 2           (subtract 1 on both side)

So, 2 < h <= 3

Answer:

221g

Step-by-step explanation:

561g divided by 33cm is how much 1 cm of rope would be so then you multiply that amount by 13

Answer:

The answer is 14

Step-by-step explanation:

Point A to Point B is 3

Point C to Point D is 3

Point B to Point c is 4

Point D to point A is 4.

Add all those together to get 14

Answer:

the answer is 14

hope you like this

keep rocking

stay at home stay safe

Answer:

A) it increases the mean value of the prizes.

Step-by-step explanation:

The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.

I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.

Hope this helps!

The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.

Option A is the correct answer.

It is the middles value of the given set of numbers after arranging the given set of numbers in an order.

We have,

The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.

Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.

The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.

Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.

Therefore,

It increases the mean value of the prizes.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ7

Answer:

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

Step-by-step explanation:

When we talk of a p-value, we are referring to a conditional probability. What it tells us is the probability of getting results which are at least as unusual as the observed statistics in a case where we are given that the null hypothesis is not false.

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

So what this means is that, in this case it is better that more data is collected to enable us know how effective the new treatment is

Answer:

3 cups

Step-by-step explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

[tex]\frac{c}{b}[/tex]

[tex]\frac{1}{10} = \frac{c}{30}[/tex]

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]

Therefore, she needs 3 cups of chocolate chips to make 30 servings.

Answer:

3 cups

Step-by-step explanation:

We can use ratios to solve

1 cup               x cups

---------------- = ----------------

10 servings     30 servings

Using cross products

1*30 = 10x

Divide by 10

30/10 = x

3 =x

3 cups

Answer:

B, E

Step-by-step explanation:

J, K, Q are all on the same line: collinear

You can draw only one line through L and P

Answer:

b,e

Step-by-step explanation:

e2020

Answer:

Hamish's earning = $20

Harry's earning = $26

Step-by-step explanation:

Given the following :

Let Harry's earning per hour = x

Let Hamish earning per hour = y

Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;

Therefore,

x = 5/4y + 1

x - 5/4y = 1 - - - - (1)

the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour

x = 7/5y - 2 - - - - (2)

Substituting (2) into (1)

7/5y - 2 - 5/4y = 1

7/5y - 5/4y = 1 + 2

7/5y - 5/4y = 3

Taking the L. C. M

(28y - 25y) / 20 = 3

28y - 25y = 60

3y = 60

y = 20

Substitute y = 20 into (1)

x - 5/4(20) = 1

x - 100/4 = 1

x - 25 = 1

x = 1 + 25

x = 26

y = Hamish's earning = $20

x = Harry's earning = $26

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

Answer:

2m - 4

Step-by-step explanation:

Add m and m.

Hope this helps :)

Answer:

[tex]\boxed{2m+4}[/tex]

Step-by-step explanation:

[tex]m-4+m[/tex]

Combine like terms.

[tex]m+m-4[/tex]

[tex]2m-4[/tex]

Answer:

Hey there!

We must use what we are given, so even though it looks like there might be four isosceles triangles, we are only given CA=CE, so that only allows us to conclude mathematically that there is only 1 isosceles triangle.

Hope this helps :)

Answer:

Tax avoidance - legal

Tax evasion - illegal

Answer: g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].

We can observe that f(x) is shifted  2 units to the left and 7 units down.

So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".

Answer:

g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

I took it and got it correct.

Answer:

Step-by-step explanation:

To find the hypotenuse we use Pythagoras theorem which is given by

a² = b² + c²

where a is the hypotenuse

So we have

a² = 10² + 3²

a² = 100 + 9

a² = 109

Hope this helps you

Answer:

10.4

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

A function is when an input value has only one output value.

It cannot be A, because -7 produces both 2 and -4.

It cannot be B, because -9 produces both 9 and 7.

It cannot be C, because -4 produces both -6 and -7.

Therefore, it has to be D.

Answer:

Nathan weighs 12 more pounds than Marty.

Step-by-step explanation:

If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.

[tex]76-64=12[/tex]

In case Nathan was actually 476 pounds, the answer would be 412.

Answer:

Option (A).

Step-by-step explanation:

[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,

[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]

When we multiply this mixed fraction by 7,

[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]

          [tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]

          [tex]=56+\frac{28}{5}[/tex]

          [tex]=56+5\frac{3}{5}[/tex]

          [tex]=56+5+\frac{3}{5}[/tex]

          [tex]=61+\frac{3}{5}[/tex]

          [tex]=61\frac{3}{5}[/tex]

Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.

Option (A) will be the correct option.

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

Answer:

The answer is 175

Step-by-step explanation:

Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)

Answer:

a) A quadrilateral with 4 right angles

Answer:

I think the answer is b

I'm sorry if I'm not correct

Answer:

  D(-7, -5)

Step-by-step explanation:

There are a couple of ways to figure this.

1) When the rectangle is aligned with the axes, as this one is, each coordinate value shows up twice. In the given list, x-values of 3 are repeated, but -7 is not, so the x-coordinate is -7.

The y-values of -2 are repeated, but -5 is not, so the y-coordinate is -5.

The coordinates of point D are (-7, -5).

__

2) The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so the sum of coordinates at the ends of the diagonals will be the same:

  A+C = B+D

Subtracting the coordinates of B from the sum of A and C will give you the coordinates of D:

  D = A +C -B = (-7, -2) +(3, -5) -(3, -2) = (-7+3-3, -2-5+2)

  D = (-7, -5)

_____

Comment on the solution

The second approach works with any parallelogram, rhombus, rectangle, or square--any figure in which the diagonals bisect each other. The figure does not have to be aligned with the axes, as it does in the first approach.

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

[tex]\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}[/tex]

Let x is the distance between the bird and the nest

So,

[tex]\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m[/tex]

So, the distance between the bird and the nest is 18311.61 m.

Answer:

8,604

Step-by-step explanation:

Answer:

3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].

Step-by-step explanation:

x^2 = 6x - 4

x^2 - 6x + 4 = 0

Now, we can use the quadratic formula to solve.

[tex]\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}[/tex], where a = 1, b = -6, and c = 4.

[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}[/tex]

= [tex]\frac{6\pm\sqrt{36 - 4 * 4} }{2}[/tex]

= [tex]\frac{6\pm\sqrt{36 - 16} }{2}[/tex]

= [tex]\frac{6\pm\sqrt{20} }{2}[/tex]

= [tex]\frac{6\pm2\sqrt{5} }{2}[/tex]

= 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex]

x = 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].

Hope this helps!

Answer:

The quadrilateral shown is a kite, because it has two non-congruent pairs of congruent sides

x = 3

Step-by-step explanation:

The vertex angles in a kite are bisected by the diagonals.  Thus, 11x = 9x + 6.

11x=9x+6

2x=6

x=3

Hope it helps <3