Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
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Emails, memos, and letters are written forms of communication, but they differ in terms of content and form. Emails are electronic messages typically used for quick, informal communication. Memos are internal documents used for formal communication within an organization. Letters are formal written communications sent externally, often to individuals or organizations outside of the sender's immediate environment.

Emails are commonly used for informal communication, whether within an organization or between individuals. They are typically concise and direct, often lacking the formalities and structure associated with memos and letters. Emails are often used for quick exchanges, sharing information, requesting or providing updates, and informal discussions.

Memos, on the other hand, are formal internal documents used within an organization. They usually follow a specific format, including headings, subject lines, recipient information, and a clear purpose. Memos are used to communicate important information, policy changes, directives, or reports within a business or department. They often have a more professional tone compared to emails and are typically archived for future reference.

Letters are formal written communications sent externally. They follow a traditional format with specific components such as salutations, addresses, dates, and signatures. Letters are used for official or business correspondence and can include inquiries, requests, formal complaints, or invitations. They require a more formal and respectful tone compared to emails and memos and are often used for official documentation or when a more personal touch is required.

In summary, while all three forms of communication serve the purpose of conveying information, emails are informal and quick, memos are formal internal documents within organizations, and letters are formal written communications sent externally. The content and format of each vary based on their intended purpose and target audience.

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The area of a rhombus can be evaluated using the formula A = 1/2 (d1 * d2),

where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal.

If d1 is a terminating decimal and d2 is a repeating decimal, it can be concluded that the area of the rhombus is rational because the product of an irrational diagonal and rational diagonal will be multiplied by the rational fraction.

The area of a rhombus can be calculated using the formula A = 1/2 (d1 * d2),

where d1 and d2 are the diagonals of the rhombus.

The diagonals of a rhombus are perpendicular bisectors of each other. So, if the diagonals intersect at an angle, they divide the rhombus into four triangles.

The formula for the area of a rhombus can be derived from the formula for the area of a triangle:

A = 1/2 bh,

where b is the base of the triangle and

h is its height.

For a rhombus, the diagonals can be used as the base and the height of each of the four triangles.Since a terminating decimal is a rational number, while a repeating decimal is also a rational number, we can say that the product of a terminating decimal and a repeating decimal is rational.

Hence, the area of the rhombus, which is the product of the diagonals of the rhombus, will be a rational number too.

Therefore, it can be concluded that the area is rational because the product of an irrational diagonal and a rational diagonal will be multiplied by the rational fraction.

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Answer:

(12 + x)/(15 + x) = 85/100

Step-by-step explanation:

12/15 = 0.8

She currently has an 80% rate.

To raise it, she needs to make x shots. Since she makes all x shots, we add x to both the number of shots made and attempts.

She will make 12 + x shots in 15 + x attempts.

We want that rate to be 0.85 which is the same as 85%.

(12 + x)/(15 + x) = 85/100

(12 + x)/(15 + x) = 17/20

20(12 + x) = 17(15 + x)

240 + 20x = 255 + 17x

3x = 15

x = 5

Answer:

The equation is (12 + x)/(15 + x) = 85/100.

Given:

Apply the laws of exponents:

Apply the properties of imaginary numbers:

Rewrite in standard complex form:

Answer:

If M is the midpoint of the leg CG, then the

a) Area of ABD = 18.75 ft^2

b) Area of MOC = 15 ft^2

To solve this problem, we need to use the properties of trapezoids and their diagonals. Let's start with finding the area of ABD.

First, notice that ABD and COD are similar triangles because they share angle O. Thus, we can write

AB/CD = AD/CO

Since AD = BC (opposite sides of a trapezoid are parallel), we can simplify to:

AB/CD = BC/CO

We also know that the area of AOD is 15 ft^2

Area of ABD/ Area of COD = AB/CD

We can substitute the ratio AB/CD from the similarity relation above to get

Area of ABD/ Area of COD = BC/CO

Since the bases of the trapezoids are parallel

Area of ABD/ Area of COD = BD/CO

Finally, we can use the fact that the altitudes from B and O to the longer base are in a 5:3 ratio to write

Area of ABD/ Area of COD = 5/3

Area of ABD = 5/8 × Area of COD

We know that the area of AOD is 15 ft^2, so the area of COD is twice that, or 30 ft^2. Therefore

Area of ABD = 5/8 × 30 = 18.75 ft^2

Next, we need to find the area of MOC. To do this, we can use the fact that the diagonals of a trapezoid divide it into four triangles, and the areas of these triangles are proportional to the lengths of the diagonals.

Let x be the length of OC, and let y be the length of OG. Then we have

Area of MOC/ Area of MOG = x/y

Also, since M is the midpoint of CG, we have

x = 2y

Substituting this into the first equation, we get

Area of MOC/ Area of MOG = 2

We know that the area of MOG is half the area of AOD, so

Area of MOG = 15/2 ft^2

Therefore, we have

Area of MOC = 2 × Area of MOG = 15 ft^2

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The length of the arc is approximately 10.34 units.

To calculate the length of the arc, we can use the arc length formula for a curve given by y = f(x): L = ∫[a, b] √[1 + (f'(x))^2] dx, where [a, b] is the interval between the x-coordinates of points P and Q, and f'(x) represents the derivative of the function.

First, we need to find the derivative of the given curve. Differentiating both sides of the equation x^2 = (y - 12)^3 with respect to x, we get 2x = 3(y - 12)^2 * (dy/dx). Rearranging the equation, we can solve for dy/dx: dy/dx = 2x / [3(y - 12)^2].

Next, we substitute the derivative and the given points into the arc length formula. Integrating from x = 1 to x = 8, the integral becomes

∫[1, 8] √[1 + (2x / [3(y - 12)^2])^2] dx.

Evaluating this integral yields the length of the arc, which is approximately 10.34 units.

Therefore, the length of the arc of the curve from point P(1, 13) to point Q(8, 16) on the curve defined by x^2 = (y - 12)^3 is approximately 10.34 units.

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Answer:

Step-by-step explanation:

The ratio of blue flowers to red flowers is five to eight. If 40 flowers were red how many were blue?

5b : 8r is the ratio

solve with an equation

5 : 8 = x : 40

x = 5 * 40 : 8

x = 25

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

Answer:

bottom lock: 30lb. top lock: 66

Step-by-step explanation:

the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.

Answer:

F=37.5°

G=52.5°

Step-by-step explanation:

G and F form 90°

=> G+F = 90° ---->1

And, G = F +15° ---> 2

Using 2 in 1,

F+15+F = 90

2F+15 = 90

Subtract 15 from both the sides,

2F+15-15 = 90-15

=> 2F = 75

Divide by 2,

F = 37.5°

Using 2,

G = 37.5 + 15 = 52.5°

p=2

Step-by-step explanation:

-3p=14-20

-3p=-6

p=2

The equivalent expression of \((1 + \frac{1}{y}) \div (1-\frac 1y)\) is \(\frac{y + 1}{y-1}\)

The fraction is given as:

\((1 + \frac{1}{y}) \div (1-\frac 1y)\)

Take the LCM

\(\frac{y + 1}{y} \div \frac{y-1}y\)

Express as products

\(\frac{y + 1}{y} \times \frac{y}{y-1}\)

Evaluate the product

\(\frac{y + 1}{y-1}\)

Hence, the equivalent expression of \((1 + \frac{1}{y}) \div (1-\frac 1y)\) is \(\frac{y + 1}{y-1}\)

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Kim's rate is 40 miles per hour and Nicole's rate is 45 miles per hour (since she is driving 5 miles per hour faster). Let's assume that Kim's rate is r, then Nicole's rate will be r+5 because she is driving 5 miles per hour faster than Kim.

We know that they meet in 2 hours, so we can write the equation:

Distance = Rate x Time

For Kim: r x 2

For Nicole: (r+5) x 2

We add these together and set them equal to the distance they are apart:

r x 2 + (r+5) x 2 = 170

Simplifying this equation, we get:

4r + 10 = 170

4r = 160

r = 40

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Answer: 129 inches

Step-by-step explanation: I help;)

Yes, the given curves are orthogonal.

In mathematics, an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves orthogonally.

Given equation is,

x²+y²=ax

Differentiating,

2x+2yy'=a

y' = (a-2x)/2y = m1

Again,

x²+y²=by

Differentiating,

2x+2yy'=by'

y' = -2x/(2y-b) = m2

For both curves are orthogonal, we have

m1*m2 = -1

(a-2x)/2y*-2x/(2y-b)  = -1

-2ax+4x² = -4y²+2yb

4(x²+y²) = 2ax+2yb

Since, ax = (x²+y²)

by = (x²+y²)

Then,

4(x²+y²) = 2(x²+y²) +2(x²+y²)

4(x²+y²) = 4(x²+y²)      (true)

Hence, the above response is appropriate.

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Answer:

the answer is 24x⁴

first you multiply 6 by 4,

next you multiply X² by x², which really means you add the numbers on top of the variable

I hope this helps:

The probability of selling 15 cheesecakes in a given day is 18.8937279184681726569595695965694568% The probability of 10 or more is 96.923987181597167106487068016478234318942% It is larger because it can be 10 OR MORE. Probability of 5 or 15 is 26.91846817265872812514528375180732694564%.  Probability of 25 is 10.3678169782764983648236173071103874376481732016876027628740%. The probability of at most 10, is 10.823618761036106318276374816385720193816%.

Answer:

105

Step-by-step explanation:

Because the lines are parallel, we know that those angles have to add up to 180. so we just do

x+75=180

or 180-75=105

x+75°=180°

x=180°-75°

x=105°

or

180°-75° = 105°

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Answer:

-902.7

I hope this helps

Answer:

Step-by-step explanation:

P(j=1st) =4/7

P(j=2nd) =3/6

P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7

P(j two in a row) = 2/7

Answer:

18 and 74 are true.

Step-by-step explanation:

So we want to solve this inquality. \(13+4x> 75\\\) We subtract 13 from the left and the right. It leaves us with \(4x>62\). Then we want the x by itself so we divide the 4 from 4x and 4 from 62. We get \(x> 15 \frac{1}{2}\). So 15.5 is false since its not greater than. 0 is not a solution. 18 and 74 are true. I'm sorry if this is wrong.

To find area of 1 square = 4 × 4 = 16 cm²

There are total 6 squares therefore = 16 × 6 = 96 cm²

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

Over a period of 5 years, the amount that you would have to pay monthly is given as  $3,201.37

To calculate the monthly mortgage payment for a house that costs $621,900 with an interest rate of 5.4% over 5 years, you can use the following formula:

P = (r(1 + r)^n) / (((1 + r)^n) - 1) * L

Where:

P = monthly payment

r = monthly interest rate (5.4%/12 = 0.0045)

n = total number of payments (5 years x 12 = 60)

L = the loan amount ($621,900)

Plugging in the values, we get:

P = (0.0045(1 + 0.0045)^60) / (((1 + 0.0045)^60) - 1) * 621,900

P = $3,201.37

So you have to pay  $3,201.37 monthly over 5 years.

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Notice that the given function is an exponential function, also:

therefore, its y-intercept is y=30.

Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

Answer:

25/81.

Step-by-step explanation:

(27/8)^-4/3

= 8^4/3 / 27^4/3

= (∛8)^4 / (∛27)^4

= 16 / 81

(64/125)^-2/3

= (125)^2/3 / (64)^2/3

= (∛125)^2 / (∛64)^2

=  5^2 / 4^2

= 25/16

So the answer is

16/81 * 25/16

= 25/81.

Answer:

25 / 81(25 by 81) is your answer.