The area of a trapezium 9cm 6cm 15cm

Strike441 [17]

The slope of the line is 1

7 0

2 years ago

To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minut

SVEN [57.7K]

Answer:

C - 19 hours 27 minutes

Step-by-step explanation:

180 × 2 = 360

360 calories in an hour

3500 × 2 = 7000 (amount of calories in 2 pounds)

7000 ÷ 360 = 19.4444...

I hope this helps

4 0

2 years ago

Volume of cylinder in terms of pi

amid [387]

The formula to calculate the volume of a cylinder is: V = Π h r², that is, Pi per height per radius squared Steps to follow: one When calculating the volume of a cylinder, you will need to measure the height (h) of the cylinder, a value that sometimes also receives the name of length. Let's give a concrete example to be able to apply the formula and that way you understand better how to carry out the operations. In this way, we will assume that the height or length of the cylinder is 10 cm. two On the other hand, you must also have the measure of the radius (r) of the cylinder, that is, the distance from the outer edge to the center of the circle that serves as the base of this polyhedral figure. Make sure you use the same unit of measure for each dimension, if they are expressed in different units, you must do the conversion to obtain the equivalence. Following the example, let's give the radio a value of 3 cm 3 So, knowing that the formula to calculate the volume of a cylinder is: V = Π h r² We just need to know how much pi is worth, remember? Yes, we can round it to 3.14 and, therefore, we will only need to substitute each value in the formula. Next, you must calculate the square of the radius (r²), multiplying the value by itself and then multiply the result of the height by Pi, by the result of the radius squared. V = 3.14 x 10 x 3² = 3.14 x 10 x 9 = 282.6 cm³ Remember to write the answer in the appropriate cubic unit of measure. So you can understand where you get the formula to calculate the volume of a cylinder: If you disarm a cylinder in your hands you will have two equal circles and a rectangle, right? First you must use the formula to take out the area of a circle that is: A = (Π) (r²) When you get the area of the circle you multiply it by the height of the cylinder and the result is the volume of the cylinder. Always remember to be careful with the units of measurement you use in calculations.

6 0

2 years ago

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

jeyben [28]

The given expression is:

$f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ 
f(x)= \frac{1}{2}(9)^{x}$

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

$f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}$

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers.
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)

4 0

2 years ago

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Simplify each expression 9(5x)

Tatiana [17]

Answer:

45x

Step-by-step explanation:

Just expand and coolect to get 9x5=45 and add x

6 0

2 years ago

Read 2 more answers