A syllabus has the following weighted grade scale: 15% HW 60% Exams 25% Final The lowest exam from the class will be dropped. A student had the following scores: 100% HW 90% Exam 1, 86% Exam 2, 92% Exam 3, 84% Exam 4 78% Final. Calculate the final grade in the course.

The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its intercepted arc.

According to Corollary 2 of the Inscribed Angle Theorem, when an angle is inscribed in a circle and the center of the circle lies in the interior of the angle, the measure of the inscribed angle is half the measure of its intercepted arc.

In other words, if we have a circle and an angle formed by two intersecting chords or secants, and the center of the circle is located within the angle, then the measure of the inscribed angle is equal to half the measure of the arc intercepted by the angle.

This corollary is a useful property that helps establish a relationship between inscribed angles and their intercepted arcs in a circle. It allows us to determine the measure of an inscribed angle by considering the corresponding intercepted arc, and vice versa.

Learn more about Inscribed Angle Theorem here:

https://brainly.com/question/5436956

#SPJ11

Given:

The scientific notation of a number is \(1.3\times 10^5\).

To find:

The standard form of the given number.

Solution:

Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.

We have,

\(1.3\times 10^5\)

It can be written as

\(1.3\times 10^5=1.3\times 100,000\)

\(1.3\times 10^5=130,000\)

Therefore, the standard form of the given number is 130,000.

Answer:

It is linear.

Step-by-step explanation:

If you divide 3 hours by 7 cakes, that means they bake 1 cake for every 3/7 of an hour.

If you divide 12 hours by 28 cakes, that also means they bake 1 cake every 3/7 of an hour.

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

6 points per game

Step-by-step explanation:

Primarily use the Distributive Property to solve this equation.

3(5 - x) - 2(5 + x) = 3(x + 1)

Distribute the outer terms.

3(5) + 3(-x) - 2(5) - 2(x) = 3(x) + 3(1)
15 - 3x - 10 - 2x = 3x + 3
-3x - 2x + 15 - 10 = 3x + 3
-5x + 5 = 3x + 3

Now, isolate all x terms.

-5x + 5x + 5 = 3x + 5x + 3
5 = 8x + 3
5 - 3 = 8x + 3 - 3
2 = 8x
2/8 = 8x/8
x = 1/4

We can match the descriptions in column B with their right terms as follows:

1. Entrepreneur

2. Franchise

3. Board of directors

4. Limited liability

5. Dividends

6. Stock

7. Not-for-profit

8. Corporation

9. Insurance

10. Stockholders

The first definition given describes an entrepreneur whose duty is to seek business opportunities and take certain risks in order to realize their goal of making a profit.

The board of directors are members of a corporation that share in its profits and dividends are the gains that the owners of a corporation stand to enjoy. So, in this way, we can match the terms.

Learn more about free enterprise here:

https://brainly.com/question/20782413

#SPJ1

If we round 81.244 to the nearest whole number then it would be 81.

For 65.33 is 65. Then, we sum.

The missing measurements are m∡B =55, AB = 5.2 and AC = 7.3

The complete question is added as an attachment

From the given figure, we get,

m∡B = 180 - (90 + 35) --- sum of angles in a triangle

m∡B =55

use Law of Sines to find AB and AC:

sin(35) = AB/9

So, we have

AB = sin(35) * 9

Evaluate

AB = 5.2

Next, we have

AC^2 = 9^2 - 5.2^2

AC^2 = 53.96

Take square roots

AC = 7.3

Read more about triangles at

https://brainly.com/question/23274921

#SPJ1

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

Answer: 14 inches

Step-by-step explanation:

Given the following :

James wants to cut a floor tile in the shape of a trapezium with the following dimension :

Top base = 12 inches

Bottom base = 16 inches

To obtain the medan, we take the average of the two bases :

(top base + bottom base) / 2

(12 inches + 16 inches) / 2

28 inches / 2

= 14 inches.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

For more related questions on area:

https://brainly.com/question/1631786

#SPJ8

Answer:

axb/2

Step-by-step explanation:

When theres a triangle with a right angle you need to make in a rectangle and divide it by 2

Answer:

In order to find the area of a triangle, you need to use the formula \(\frac{1}{2} bh\). Substitute the known values into the formula and solve the equation.

Step-by-step explanation:

The formula to calculate the area of a triangle is \(\frac{1}{2} bh\), where \(b\) represents the length of the triangle's base, and \(h\) represents the length of the triangle's height. Since \(b\) and \(h\) are variables that have different values in regards to different triangles, that means you should substitute the known/given values of each variable into the formula and solve the equation.

Answer:

(2x*+6)(x-2)

2x(x-2)+6(x-2)

2xx+2x(-2)+6x +6(-2)

we know ;

(-). (-) = +

(-). (+) = -

(+). (-) = -

(+). (+) = +

2xx-2x(2)+6x -6(2)

2x^2  - 4x + 6x  -12

2x^2  - 2x  -12

Step-by-step explanation:

Answer:

-2 slope

Step-by-step explanation:

when 2 lines are parallel they have the same slope. line a will have a slope of -2.

Answer:

D has the following vertices

The measure of ∠E = 87° and ∠F = 93°.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a parallelogram in which EFGH the measure of angle E is (2x+3) and the measure of angle F is (3x - 33).

We can write -

2(2x + 3) + 2(3x - 33) = 360°

4x + 6 + 6x - 66 = 360°

10x - 60 = 360

10x = 420

x = 42

∠E = 2 x 42 + 3 = 84 + 3 = 87°

∠F = 3 x 42 - 33 = 126 - 33 = 93°

Therefore, the measure of ∠E = 87° and ∠F = 93°.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ1

Answer:

C

Step-by-step explanation:

by using \(a^{2} + b^{2} = c^2\) 6=a 8=b you would get 100

then \(\sqrt{100}\) = 10.

The volume of given triangular prism is 24,000 cubic yards.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the dimensions of base are 30 yards and 20 yards.

Here, area = 1/2×30×20

= 300 yd²

Volume of a triangular prism = Area of base triangle × Length of the prism.

= 300×80

= 24,000 yd³

Therefore, the volume is 24,000 yd³.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

The given equation is expressed as

Answer:

240 miles

Step-by-step explanation:

To find how far John will travel is he travels 48 miles per hour for 5 hours, you can multiply John's speed (48 mph) with his travel time (5 hours) to get:

48 mph × 5 hours = ?

48 × 5 = 240

Therefore, John will travel 240 miles if he travels for 5 hours at 48 miles per hour.

The total charge for this job is $12131.04.

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangular.

The formula of the area of the rectangle is

A= length x width

the total area of the living room and the hall is

⇒ (35/2) x 20 + (4 x 12)  

⇒ 398 square feet.

The total cost is

⇒ 5.99 + 4.50 + 16.99 + 3. 00

⇒30.48

Thus, the total charge for this job is

⇒398 x 30.48

⇒$12131.04

Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.

Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.

The additional total cost of one additional unit of manufacturing is known as marginal cost.

To learn more about the Total cost visit here:

brainly.com/question/28652728

#SPJ4

Answer:

C

Step-by-step explanation:

The converse angles Theorem states that if two same side interior angles that are cut by a transversal add up to 180, the lines containing thr transversal are parallel.

The transversal cut line r and s but 143+47=190 not 180.

So c fits this description.

The Product Rule can be used to compute h`(0) because it involves differentiating the product of two functions, while it cannot be used to compute h`(1) because the function g(x) is not differentiable at x = 1. The value of h`(0) can be computed by applying the Product Rule.

The Product Rule states that if we have two functions, f(x) and g(x), then the derivative of their product h(x) = f(x)g(x) can be computed as follows: h`(x) = f`(x)g(x) + f(x)g`(x). In this case, we have the functions f(x) = 3x + 1 and g(x) = |x − 1|.

To compute h`(0), we need to differentiate f(x) and g(x) individually. The derivative of f(x) = 3x + 1 is f`(x) = 3. The derivative of g(x) = |x − 1| depends on the value of x. For x < 1, g`(x) = -1, and for x > 1, g`(x) = 1. However, at x = 1, g(x) is not differentiable because the function has a sharp corner or cusp at that point.

Since h(x) = f(x)g(x), we can apply the Product Rule to find h`(x) = f`(x)g(x) + f(x)g`(x). Plugging in the derivatives, we have h`(x) = 3g(x) + (3x + 1)g`(x). Evaluating this expression at x = 0, we can find h`(0) = 3g(0) + (3(0) + 1)g`(0). Simplifying further, we have h`(0) = 3(1) + (0 + 1)(-1) = 2.

Therefore, the Product Rule can be used to compute h`(0), but it cannot be used to compute h`(1) because g(x) is not differentiable at x = 1.

Learn more about Product Rule

brainly.com/question/31585086

#SPJ11

Answer: P ( C | ( A ∪ B ) ) = 8 / 21

Since A and B are disjoint events, we can use the formula:

P ( A ∪ B ) = P ( A ) + P ( B )

And we are given that P ( A ) = 2 P ( B ), so we can substitute this into the formula:

P ( A ∪ B ) = 2 P ( B ) + P ( B ) = 3 P ( B )

Now, we can use the formula for conditional probability:

P ( C | ( A ∪ B ) ) = P ( C ∩ ( A ∪ B ) ) / P ( A ∪ B )

We can expand the numerator using the distributive property:

P ( C ∩ ( A ∪ B ) ) = P ( ( C ∩ A ) ∪ ( C ∩ B ) )

And we can use the formula for conditional probability to rewrite this:

P ( ( C ∩ A ) ∪ ( C ∩ B ) ) = P ( C | A ) P ( A ) + P ( C | B ) P ( B )

Substituting in the given values:

P ( ( C ∩ A ) ∪ ( C ∩ B ) ) = ( 2 / 7 ) ( 2 P ( B ) ) + ( 4 / 7 ) ( P ( B ) ) = ( 8 / 7 ) P ( B )

Now we can substitute this back into the formula for P ( C | ( A ∪ B ) ):

P ( C | ( A ∪ B ) ) = ( 8 / 7 ) P ( B ) / ( 3 P ( B ) ) = 8 / 21

So the answer is:

P ( C | ( A ∪ B ) ) = 8 / 21

To know more about disjoint events refer here:

https://brainly.com/question/28777946#

#SPJ11

Hello!

-9y > 9 <=>

<=> -9y ÷ (-9) > 9 ÷ (-9) <=>

<=> y < -1 <=>

<=> y ∈ { -∞; -1 }

Good luck! :)

The commission he earned last month was amount of $360.

The commission is determined by the product of the commission rate and the total sales.

A salesman receives a 6% commission on all merchandise sold.

He sold $6000 in merchandise last month.

Salesman earns 6% = 6/100 = 0.06

Now, we have to evaluate 6% of $6000

= 0.06 x 6000

Apply the multiplication operation, and we get

= 360$

Thus, the commission he earned last month was the amount of $360.

To learn more about the commission click here:

https://brainly.com/question/20987196

#SPJ1

The question seems incomplete, the complete question would be as:

A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $6000 worth of merchandise. How much commission (in dollars) did he earn last month?

To show explicitly that l[x−1] does not exist, we need to provide an explanation as to why this limit cannot be computed. One way to do this is to consider the behavior of the function as x approaches the point x=1 from both the left and the right.

If we approach x=1 from the left, we have x-1<0 and so l[x−1] becomes l[negative number]. However, the limit of a function as it approaches a value from the left and right must be the same in order for the limit to exist. Since l[x−1] becomes l[negative number] when approached from the left, and l[x−1] becomes l[positive number] when approached from the right, the limit does not exist.

In other words, we cannot define a unique value for l[x−1] as x approaches 1 because the function behaves differently on either side of 1. Therefore, l[x−1] does not exist.      

To know more about limit visit:

https://brainly.com/question/30339394

#SPJ11