I
+
3 of 7
5)
Line n contains (2, 3) and is perpendicular to the line 4x + 3y = 7. What is the
equation of line n in slope-intercept form?

Answer:

Fails the true premises test and fails the proper form test

Explanation:

A valid argument must pass the true premises test and the proper form test.

True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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Answer:

I'm confused, do u just need a formula?

\(y\cdot \:2\frac{1}{2} =\) \(2\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{5}{2}\) \(=\frac{5y}{2}\)

a) \(2y+\frac{1}{2}=\frac{4y+1}{2}\)

b) \(2y+\frac{1}{2}y=\frac{5y}{2}\)

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\(15%of$13,450=$2,017.50\)%\(of13,450=2,017.50\) therefore the down payment is $2,017.50

Answer:

Simultaneous question

Step-by-step explanation:

let first nomber be x and the second be y

make an equation

x+y=-17

x-y=41

x+x= -17+41

2x=23

x-y=41

11.5-y=41

-y=41-11.5

-y = 29.5

Therefore the numbers are 11.5 and -29.5

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer:

280in

Step-by-step explanation:

Answer:

280 in. ^3

Step-by-step explanation:

40 x 7

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Answer:

"7" Would be your answer.

Step-by-step explanation:

Answer:

1.)  y= 3

2.)  y = 3/4 x -3

Step-by-step explanation:

Answer:

the value of a rare coin in the beginning of the first year,

t = 0, so f(0) = 4• 2^0 = 4•1 = 4 (y-intercept)

Answer:

the y-intercept is at t=0, so in the model no time has past yet. it's the initial value of the coin

Answer:

y=-2/3x+18

Step-by-step explanation:

Slope intercept form equals y=mx+b

Step 1 move 2x to the other side.  3y=-2x+18

Step 2 divide by 3.   y=-2/3x+18

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The actual dimensions of the patio are 20 feet by 16 feet.

The scale factor is 1 inch to 4 feet,

This means that 1 inch on the scale drawing represents 4 feet in reality.

So the dimensions of the scale drawing are:

20 feet x (1/4) = 5 inches (length on scale drawing)

16 feet x (1/4) = 4 inches (width on scale drawing)

The area of the actual patio is:

= 20 feet x  16 feet

= 320 square feet

The area of the scale drawing is:

= 5 inches x 4 inches

= 20 square inches

The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet

To simplify this ratio, we need to convert both values to the same units.

Converting the area of the scale drawing to square feet:

= 20 square inches x  (1/144) square feet/square inch

= 0.1389 square feet

So the ratio of the area of the scaled drawing to the actual area of the patio is:

0.1389 square feet : 320 square feet

Or, in simplified form:

1 : 2306.56

Thus,

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

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The functions are solved below

What is a function?

A function from either a given Set X to a set Y allocates exactly one item of Y to each member of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The functions are solved as follows

(a) f(4) = 6x4 = 24

(b) g(2) = 9x2² + 5 = 36 + 5 = 41

(c) f(1) = 6x1 = 6

(d) g(0) = 9x0² + 5 = 0 + 5 = 5

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Answer:

  n = 10

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means corresponding sides are proportional.

  short side / long side = n/20 = 5/n

  n² = 20·5 = 100 . . . multiply by 20n

  n = 10 . . . . . . . . . . . take the square root

__

Additional comment

The ratio of hypotenuse to short side is also proportional:

  m/5 = (20+5)/m

  m² = 125 . . . . . multiply by 5m

  m = 5√5 . . . . . take the square root

Answer:

\(\displaystyle m=\frac{2}{25}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (200, 14)

Point (225, 16)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

x ≤ 3

Step-by-step explanation:

In the graph given, values of variable x is represented.

From the plot, we note that a small circle is at point 3 on the numberline. This small "o" is shaded, which indicates that the values of x includes 3.

The arrow which starts at 3 on the numberline, points towards our left. This means that the values of x are less than or equal to 3. No value of x is greater than 3.

Therefore, the following inequality can be written for the graph:

x ≤ 3

The value of y when x is 10 is 3\(\frac{1}{3}\).

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant. The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k. Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Given Data

X 5 6 7 8

Y 1 2/3 2 2 1/3 2 2/3

Yes, the table shows proportional relationship.

Value of Y when X will be 10 is

x = 10

= 3\(\frac{1}{3}\)

the value of y when x is 10 is 3\(\frac{1}{3}\).

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The expression's decimal is equivalent to (B) 0.24.

So, ( 8 × 3 ) ( 1/10 × 1/10 ):

Solve as follows:

Therefore, the expression's decimal is equivalent to (B) 0.24.

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The correct question is given below;
Which of the following decimals is equivalent to (8 x 3) (1/10 × 1/10)

A. 0.024

B. 0.24

C. 2.4

D. 24.0​

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

EF = 32

Step-by-step explanation:

since the base angles D and F are congruent then the triangle is isosceles with both legs congruent , that is

EF = DE = 32

Answer:

32 units

Step-by-step explanation:

It is an isosceles triangle so two sides will be the same length opposite the equal angles     EF = 32

Answer:

Hope i helped you thanks

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560