Calculate the GPA of a student with the following grades: B (13 hours), D (16 hours), C (13 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.

Answer:

(-3,-1)

Step-by-step explanation:

The two lines intersect at that point. -3 is in the x axis and -1 is in the y axis.

The number of points gained overall by Julia playing the game is 30 point

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

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.

First, we need to determine the difference between your score and the starting score of 2.6:

3.4 - 2.6 = 0.8

Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:

0.8 / 0.4 = 2

Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:

2 * 1% = 2%

Therefore, you will be receiving a merit increase of 2%.

The linear equation each graph is y = (1/5)x +3, y = 2x,  y = -3x+5 and y = (1/3)x +5 respectively

The equation of a line is of the form y = mx+c

Where m is the slope and c is the y-intercept

Graph 1

c = 3

m = 1/5 = 0.2

y = mx+c

Thus, the linear equation is y = (1/5)x + 3 or y = 0.2x + 3

Graph 2

c = 0

m = 2/1 = 2

y = mx+c

Thus, the linear equation is y = 2x+0 or y = 2x

Graph 3

c = 5

m = -3/1 = -3

y = mx+c

Thus, the linear equation is y = -3x+5

Graph 4

c = 5

m = 1/3 = 1/3

y = mx+c

Thus, the linear equation is y = (1/3)x+5 or y = 0.33x+5

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9514 1404 393

Answer:

Step-by-step explanation:

As with all cost problems, the total cost is the sum of products of number of items and item unit cost. Here, the items are acres of crops, and their unit costs are the respective cost per acre.

  cost: 50x +70y ≤ 7400

Labor hours are added in similar fashion. The unit costs for labor hours are hours per acre for the different crops

  labor: 20x +25y ≤ 3500

The profit function follows the same pattern:

  P = 160x +220y

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

6x - 18

Step-by-step explanation:

(2x - 6) + 4(x - 3) =

= (2x - 6) + 4x - 12 =

= 2x - 6 + 4x - 12 =

= 2x + 4 - 6 - 12 =

= (2x + 4x) + (-6 - 12) =

= 6x - 18

The output value of (f∘g)(x) is:  \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x-6}{x +3}\)

g(x) = 4x - 15

Next, we would write the numerators and denominators in factored form as follows;

(x - 6)(4x - 15)

4x² - 15x - 24x + 60

4x² - 29x + 60

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x + 3 ≠ 0

x ≠ -3

Domain = (-∞, -3) U (-3, ∞).

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Answer:

38 plain chocolate bars and 17 king-size chocolate bars.

Step-by-step explanation:

Let's define the variables:

P = number of plain chocolate bars sold

K = number of king chocolate bars sold

We know that each plain one costs $1.50, and each king one costs $2.25, then the total revenue is:

P*$1.50 + K*$2.25

Now we know that Jim sells a total of 55 candy bars, then:

P + K = 55

And we know that the total revenue is $95.25, then:

P*$1.50 + K*$2.25 = $95.25

Then we have the system of equations:

P + K = 55

P*$1.50 + K*$2.25 = $95.25

To solve this we need to isolate one of the variables in one of the equations, I will isolate P in the first equation to get:

P = 55 - K

Now we can replace is on the second one to get:

(55 - K)*$1.50 + K*$2.25 = $95.25

Now we can solve this for K

$82.50 - K*$1.50 + K*$2.25 = $95.25

K*($2.25 - $1.50) = $95.25 - $82.50 = $12.75

K*$0.75 = $12.75

K = $12.75/$0.75 = 17

This means that Jim sold 17 king-size chocolate bars.

Now we can replace this in the equation:

P + K = 55

P + 17 = 55

P = 55 - 17  =38

P = 38

Jim sold 38 plain chocolate bars.

You can get 3/8 from 13/8 by subtraction. The solution is 10 / 8

In order to get 3/8 from 13/8 we would have to carry out a subtraction of fractions.

That is we would have: 13/8 - 3/8

take the lcm of the denominator

\(\frac{13 - 3}{8}\)

= 10 / 8

Hence when we take 3 / 8 from 13 / 8, the solution that we would have would be from subtraction. This is 10 / 8

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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B. As grade point average increases, the number of scholarship

offers increases.

Causation is the relationship between two variables where one variable causes a change in the other variable

Option A is wrong because a diswasher does not have any effect on DVD collection

Option C is wrong because the number of hours spent reading does not affect the number of points scored by a basketball team

Option D is wrong because the number of cups of coffee consumed does not affect the price of dress

Only option B implies causation

As grade point average increases, more people will be qualified for scholarship. Therefore, the number of scholarship offers increases.

Answer:

(5/2,9)

Step-by-step explanation:

Midpoint Formula: (((x1+x2)/2),((y1+22)/2))= (((-6+11)/2),((13+5)/2))= (5/2,9)

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

D. $105,750

Step-by-step explanation:

Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.

The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.

Short Answers:

a)N*tan(Θ)

b)arctan(h/N)

c)N*tan(A)

Let * stand for multiplication

Hope this is helpful to someone:)

The quadratic function, x2 + 14x + 49 f, would have 7 as the lone zero.

Any subset of a Cartesian product is a relation.

For instance, a subset of is known as a "binary relation from A to B," and in specifically, a subset of is known as a "relation on A."

These ordered pairs (a,b) with first components from A and second components from B make up a binary relation from A to B.

A function is a relation that links every item in a set X to a single item in a different set Y. (possibly the same set).

A graph, which is the collection of all ordered pairs (x, f (x)), serves as the sole representation of a function.

As you can see from these definitions, every function is a relation from X to Y, but not vice versa .

(x - 7)(x - 7)

⇒ (x - 7)²

⇒ x² + 7²+ 2 × 7 × x

⇒ x² + 49 + 14x

⇒ x² + 14x + 49

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Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

Answer:

Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.

__________________________________________________________

Ask me in the comments box.

Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.

Answer:

12

Step-by-step explanation:

Answer:

Rectilíneo generalmente indica una figura representativa de hacer una línea recta oa lo largo de una línea recta o en una línea recta. En términos matemáticos, es una figura plana delimitada por segmentos de línea. En otras palabras, una figura plana totalmente compuesta de segmentos de línea se conoce como figura rectilínea. Ahora bien, si te preguntas ¿qué es una figura plana? Entonces, sepa que cuando ponemos la punta de un lápiz en una hoja de papel y nos movemos de un punto a otro, sin levantar el lápiz, entonces las formas que se forman son lo que llamamos curvas planas.

Answer:

60 ft^2

Step-by-step explanation:

6x10

get off of the bathrrom floor jean you sicko

Answer:

6 x 10 = 60 ft.^2

(A = b h)

Step-by-step explanation:

Why is he laying on his bathroom floor/tub/whatever-

Area is base times height. (length times width, if you will)

10 x 6

      =60

Ok I can help you with graphing

The tables of values we have are:

And we are asked to find:

Step 1. The first step is to find g(3).

In g(3) the value of x is given by the number inside the parentheses:

Looking at our table of values for g(x) when the x-value is 3, the g(x) value is:

Thus:

Step 2. Substitute g(3)=5 into the expression:

Step 3. Find f(5).

Now we look at the table for f(x) and find the f(x) value when the x-value is 5:

Thus, the answer is:

Answer: 4

Answer: D

8x + 1x + 1 x - 2y