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Nimfa-mama [501]
3 years ago
15

What is the length of ST

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

The answer is

C. 4.5 cm

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The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand
Cerrena [4.2K]

Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

4 0
3 years ago
Identifying Slope and y-Intercept of a Line
Ira Lisetskai [31]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

y = 1 - 3x = -3x + 1

slope = -3

y-intercept at 1

y = 3x - 1

slope = 3

y-intercept at -1

x - 3 = y → y = 1x - 3

slope = 1

y-intercept at -3

x + 3 = y → y = 1x + 3

slope = 1

y-intercept at 3

6 0
3 years ago
I Need Help With Graphing Linear Functions
NNADVOKAT [17]
The answer should be option c
3 0
3 years ago
Read 2 more answers
You deposit $400 into an account that pays 2% annual interest compounded quarterly.
Ad libitum [116K]
Part A
The exponential model that describes the situation
The formula is
Y (x)=400 (1+0.02/4)^4x
Y (x)=400 (1+0.005)^4x
Y (x)=400 (1.005)^4x
Where x is the number of years

Part B
The value of the account after 5 years
Y (5)=400×(1.005)^(4×5)
Y (5)=441.96

3 0
3 years ago
Read 2 more answers
Are 22 42 60 a right triangle or not?
Lelechka [254]

Answer:First things first, let's explain what a right triangle is. The definition is very simple and might even seem obvious for those who already know it: a right-angled triangle is a triangle where one and only one of the angles is exactly 90°. The other two angles will clearly be smaller than the right angle because the sum of all angles in a triangle is always 180°.

In a right angled triangle the sides are defined in a special way. The side opposing the right angle is always the biggest in the triangle and receives the name of "hypotenuse". The other two sides are called catheti. The relationship between the hypotenuse and each of the cathetus is a very simple one, as we will see when we will talk about Pythagoras' theorem.

Hypotenuse calculator

If all you want to calculate is the hypotenuse of a right triangle, this page and its right triangle calculator will work just fine. However, we would also recommend to use the specific tool we have developed at Omni Calculators: the hypotenuse calculator. The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c².

To solve for c, take the square root of both sides to get c = √(b²+a²). This extension of the Pythagorean theorem can be considered as a "hypotenuse formula". A Pythagorean theorem calculator is also an excellent tool for calculating the hypotenuse.

Let's now solve a practical example of what it would take to calculate the hypotenuse of a right triangle without using any calculators available at Omni:

Obtain the values of a and b,

Square a and b,

Sum up both values: a² + b²,

Take the square root of the result,

The square root will yield a positive and negative result. Since we are dealing with length, disregard the negative result,

The resulting value is the value of the hypotenuse c.

Now let's see what the process would be using one of Omni's calculator, for example, the right triangle calculator on this web page:

Insert the value of a and b into the calculator

Obtain the value of c immediately

As a bonus, you will get the value of the area for such a triangle.

Step-by-step explanation:Hope this helped u also may i have brainlist plz?

4 0
3 years ago
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