Is 3 cups to 2 cups proportional

Rhys will have to pay £6 interest after the first year.

To calculate the interest, we can use the formula:

Interest = Principal x Rate

Where:

Principal = £200

Rate = 3% = 0.03 (in decimal form)

So, the interest Rhys will have to pay after the first year is:

Interest = £200 x 0.03 = £6

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The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

is it multiple choice? is 6x -24 an option?

Answer:

7+- root 57 / 4

d. 7+root 57/4 , 7-root 57/4 on edg

Step-by-step explanation:

got it right :)

Answer:

D

Step-by-step explanation:

Edge 2021

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

sorry i dont know this answer

Answer:

79632 cu ft

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. We are given the values 158 ft by 80 ft by 6.3 ft. All we do is multiply all 3 values by each other, (158)(80)(6.3). The answer after multiplying is 79632 cubic feet.

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

i think its a

Step-by-step explanation:

The ratio of the change in the y and x values, in the table gives the slope

graph of the linear function.

Correct response:

The slope of the linear function is -6

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as, dx/dy.

here, we have,

Method used for finding the slope

From the given table, we have;

The first difference of the y-values = 2 - 8 = -6 = Constant

The rate of change of the x-values = 1 = Constant

Therefore;

The function is a linear function;

The slope, m, is given by the formula;

m = y2 - y1/x2-x1

Taking a pair of points as follows;

(0, -4) = (x₁, y₁)

(2, -16) = (x₂, y₂)

We have;

m = -6

The slope of the linear function, m = -6

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Complete question:

The table represents a linear function.

What is the slope of the function?

0-6

O 4

х

-2

-1

0

1

2

у

8

2

-4

-10

-16

04

O 6

Mark this and retum

Save and Exit

Next

Submit

Answer:

help calll me daddy

Step-by-step explanation:

Answer:

Missing Angle = 26⁰ ( corresponding angles )

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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The dimensions of the rectangular frame is found as : 12 and 6 inches.

When a triangle is just a right triangle, the hypotenuse square is equal to the sum of the squares of the triangle's legs.

That's a picture frame, therefore pay attention that it must be rectangular.

Hence, the triangle is really a right triangle, and the Pythagorean theorem will eventually be applied.

You are aware that the square of the hypotenuse is 20 and equals 400.

hence, a²  + b²  = 400 and...

So because length is 4 times more than the breadth, a = b + 4.

This can be resolved if "b + 4" is substituted for "a":

(b + 4)² + b²  = 400,

(b + 4)(b + 4) + b²  = 400,

b² + 8b + 16 + b²  = 400,

2b² + 8b = 384

Further solving;

b² + 4b = 192

b² + 4b - 192 = 0

(b + 16)(b - 12) = 0

Due to the fact that a length cannot be negative, b must therefore be between b - 16 or 12 (negative value not taken)

The second leg is 12 + 4 = 6.

Thus,  the dimensions of the rectangular  frame is found as : 12 and 6 inches.

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Answer:

one solution is the correct answer

Answer:

a

   \(R =13\)

b

  \(\= x =8.9\)

c

 \(var(x) = 16.57\)

d

 \(\sigma = 4.1\)

Step-by-step explanation:

From the question we are given a data set  

      2​, 10​, 15​, 4​, 11​, 10​, 15​, 10​, 2​, 10

     The sample size is  n  = 10

 The range is  

         \(R = maxNum - MinNum\)

Where maxNum  is the maximum number on the data set  which is 15

 and  MinNum  is the minimum  number on the data set  which is  2

   So

           \(R = 15 - 2\)

           \(R =13\)

The mean is mathematically represented as

          \(\= x = \frac{\sum x_i}{N}\)

substituting values

          \(\= x = \frac{2 + 10 + 15 + 4 + 11 + 10 + 15 + 10 + 2 + 10 }{10}\)

         \(\= x =8.9\)

The variance is mathematically evaluated as

        \(var(x) = \frac{\sum (x - \= x)^2}{N}\)

substituting values

      \(var(x) = \frac{(2 - 8.9 )^2 + (10 - 8.9 )^2 + (15 - 8.9 )^2 +(4 - 8.9 )^2 +(11 - 8.9 )^2 +(10 - 8.9 )^2 +(15 - 8.9 )^2 +(10 - 8.9 )^2 +} {10}\)                    \(\frac{(2 - 8.9 )^2 +(10 - 8.9 )^2 }{10}\)

\(var(x) = 16.57\)

The standard deviation is  \(\sigma = \sqrt{var(x)}\)

substituting values

         \(\sigma = \sqrt{16.57}\)

        \(\sigma = 4.1\)

Answer:

Hence the true proportion is (0.388, 0.492).

Step-by-step explanation:

Given n=250,

\(p= 110/250 =0.44\)

\(a=0.1, |Z(0.05)|=1.645\) (check standard normal table)  

So 90% CI is

\(p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)\)

The probability of having regular illness is (0.16) when compared to those with good sleep (0.12).

Let's calculate the probability of having regular illness given poor sleep:

P(regular illness | poor sleep) = 16% = 0.16

Now, let's calculate the probability of having regular illness given good sleep:

P(regular illness | good sleep) = 24 / (24 + 176) = 0.12

Hence, the probability of having regular illness is (0.16) when compared to those with good sleep (0.12).

This supports the doctor's claim that poor sleep increases the probability of having regular illness.

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Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the standard vertex form for a quadratic equation.

STEP 2: Get the vertex of the quadratic equation plotted

STEP 3: Get the value of a

To get the value of a, we pick a random point on the graph. We pick:

Substitute the known values into the form in Step 1 to get the value of a as seen below:

STEP 4: Get the vertex form of the equation

Hence, the vertex form of the equation is given as:

Answer: $773.18

Step-by-step explanation:

Revenue=Cost 1−Gross Margin

Revenue=5,670.001−0.1200

Revenue=6,443.18

Gross Profit=Revenue×Gross Margin

Gross Profit=6,443.18×0.1200

Gross Profit=773.18

Mark Up=Gross ProfitCost×100

Mark Up=773.185,670.00×100

Mark Up=13.64%

Answer:

23.2, exact is 22.9333334

Step-by-step explanation:

28 2/3 is around 28.5 ,4/5 is .75

28.5 * .75 = 21.375

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)