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2 years ago

How many types of progression in mathematics?

1 answer:

3 0

There are three different type

Explain

In math , there are three different type , they are arithmetic progression ( Ap) , Geometric progression and Harmonic

Arithmetic Progression - When a fix constant is added to each number except the first number.

For example : 2,4,6,8,10..... Here 2 is added each time to get the next number.

2. Geometric Progression - When a fix constant is multiplied to each number except the first number.

For example : 2,6,18,54.... Here 3 is multiplies each time to get first number.

3. Harmonic - a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression.

For example : 1/2 , 1/4 , 1/6, 1/8 ....

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Which equation could be solved using the graph above?

nevsk [136]

Answer:

Option 3

Step-by-step explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of $y=x^2$

by a vertical shift of 1 unit down.

So new equation after transformation would be

$y+1=x^2$

Or $y=x^2-1$

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

$x^2=1$

$x=±1$

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.

8 0

3 years ago

Read 2 more answers

What is factor of 4x+2y=

Simora [160]

2 is a factor of 4x + 2y
2( 2x + y)

8 0

2 years ago

4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed

elixir [45]

Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
$y = a(x+30)(x-30)$
Plug in vertex to find value of 'a'
$-30 = a(0+30)(0-30) \\ \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}$

Now find the focus given that $p = \frac{1}{4a}$
$p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5$

Answer: the microphone should be placed 7.5 inches from vertex.

8 0

3 years ago

A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey

Alja [10]

Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

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2 years ago

A park ranger would like to clear more than 10 mi of trail. So far, he has cleared 2 mi. From now on, he can clear 3/4 mi of tra

blondinia [14]

Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.

Step-by-step explanation: Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.

Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.

Let, the park ranger will work for 'x' more hours. So, we have

$\dfrac{3}{4}\times x=8\\\\\Rightarrow 3x=32\\\\\Rightarrow x=\dfrac{32}{3}\\\\\Rightarrow x=10\dfrac{2}{3}.$

Thus, the park ranger will need to work for 10 2/3 more hours.

Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.

3 0

3 years ago

Read 2 more answers

How many types of progression in mathematics?​

How many types of progression in mathematics?