Use row 3 to write an equivalent ratio for the amount of apple juice to orange juice used in 3 smoothies. To create this ratio, what did Sarah do to each number in row 1?

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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The speed of the ball after one second is given as follows:

9.175 m/s.

The speed function is the derivative of the position function, which is graphed in this problem.

The position function, in meters, for a projectile's height, is given as follows:

h(t) = -4.9t² + v(0)t + h(0).

In which:

From the graph, the initial height is given as follows:

h(0) = 6.

When t = 4, h = 2.5, hence the initial velocity is obtained as follows:

2.5 = -4.9(4)² + 4v(0) + 6

4v(0) = 2.5 - 5 + 4.9(4)²

4v(0) = 75.9

v(0) = 75.9/4

v(0) = 18.975.

Then the position function is of:

h(t) = -4.9t² + 18.975t + 6.

The velocity function is the derivative of the position, hence:

v(t) = -9.8t + 18.975.

Then the velocity after one second is of:

v(1) = -9.8 + 18.975 = 9.175 m/s.

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Answer:

Step-by-step explanation:

The measure of each exterior angles of rectangle is 90°

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

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

12 arrangements with 5 lilies and 3 daisies

Step-by-step explanation:

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Answer:

24 units squared

Step-by-step explanation:

the area of a parallelogram is its length times height

Answer:

Yes, the ordered pair (1, 2) is a solution to the system.

Step-by-step explanation:

The answer can be found quite quickly. Simply substitute the x coordinate of the given pair for x, and the y coordinate of the given pair for y.

The x coordinate is 1 and the y coordinate is 2, so...

3(1) - 4(2) = -5

2=4(1)-2.

Next, simplify:

3-8=-5

This equation is TRUE.

2=4-2

This equation is also TRUE.

Hopefully, this helps in some way!

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

Answer:

x - 3y= -14

Step-by-step explanation:

Slope is rise over run

m = (6-5)/(4-1) = 1/3

we write in slope-intercept form:

y = 1/3x + b

solve for b by plugging in either point

i'm going to plug in H

5 = 1/3 + b

b = 14/3

we get our equation

y = 1/3x + 14/3

now re-write it in standard form

-1/3x + y = 14/3

make it pretty

x - 3y = -14

Option B is correct, WX is perpendicular to ZY and WX is parallel to AB.

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

To find the solution of this problem.

Firstly let us understand the parallel and perpendicular lines.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

Two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

As we check all the options, WX is perpendicular to ZY and WX is parallel to AB.

Hence, Option B is correct, WX is perpendicular to ZY and WX is parallel to AB.

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Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Using the above highlights, the possible set of A are:

Hence, the true statements are (A) and (B)

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Answer:

140

Step-by-step explanation:

So, We are trying to find how many total people use Netflix. Notice that they are trying to trick you with the word only, Even though you see that there are multiple Media/Video applications that they use. Now, Add 52. Then add 48. Don't get confused with adding the rest of the other applications' numbers. That equals 100. Add 30. 130. Add 10. Your total is 140. 140 people in total use Netflix. Hope this helps you with your homework! Feel free to ask me any questions and I will respond as soon as I can. :D

Answer:

c. both A and B

Step-by-step explanation:

Given that there are two events A and B.

To find:

Intersection of the two sets represents which of the following events:

a. either A or B occurs but not both

b. neither A nor B occur

c. both A and B occur

d. All of these choices are true. a. b. c. d

Solution:

First of all, let us learn about the concept of intersection.

Intersection of two events means the common part in the two events.

Explanation using set theory:

Let set P contains the outcomes of roll of a dice.

P = {1, 2, 3, 4, 5, 6}

And set Q contains the set of even numbers less than 10.

Q = {2, 4, 6, 8}

Common elements are {2, 4, 6}

So, intersection of P and Q:

\(P \cap Q\) = {2, 4, 6}

Explanation using Venn diagram:

Please refer to the image attached in the answer area.

The shaded region is the intersection of the two sets P and Q.

When we apply the above concept in events, we can clearly say from the above explanation that the intersection of two events A and B is the event that occurs when both A and B occur.

So, correct answer is:

c. both A and B

Answer:

C.

Step-by-step explanation:

The first bottle holds 10 ounces of water.

We are given that the first bottle holds z ounces of water and the second one holds 16 ounces which is \(\frac{8}{5}\) times as much water.

Multiplicatiοn is οne οf the fοur basic arithmetic οperatiοns, alοngside additiοn, subtractiοn, and divisiοn. In math, multiply means the repeated additiοn οf grοups οf equal sizes.

So, using the multiplication operation, we get

⇒ \(\frac{8}{5}\) * z = 16

⇒ z = 16 * \(\frac{5}{8}\)

⇒ z = 2 * 5

⇒ z = 10

Hence, the first bottle holds 10 ounces of water.

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Complete question:

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer: 1.6

Step-by-step explanation: To find how many gallons it is in 1 hout you take 3.47*60 for one hour. That equals 208.2. Then you take 334 and divide it by 208.2. then round to the nearest hundreth.

Answer:

5/9 yards

Step-by-step explanation:

\( \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} \)

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

---

hope it helps

sorry if I'm wrong

the X confused me

Answer:

Your average speed was 3.29 Miles per hour (mph)

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A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

The actual height of the statue is 0312.0 feet. Since the scale factor is 260/1.

What is meaning height?

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is used to describe everything that may be measured vertically, high or low.

Given that to draw a drawing the painter use the scale factor 260:1. It means if the height of a statue in the drawing is 1 unit then the actual height of the statue will be 260.

The height of a statue in the drawing is 1.2 feet.

Assume that the height of the statue be x feet.

Therefore,

x/1.2 = 260/1

x/1.2 = 260

Multiply both sides by 1.2:

x = 260 × 1.2

x = 312

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The correct option is B, 312.0