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3 years ago

13

Which number is the common difference of the sequence -92,-74,-54,-38,-20?

2 answers:

Mkey [24]3 years ago

8 0

The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:

There is no common difference,

dx=18,20,16,18 the difference or velocity is not constant...

d2x=2, -4,2 the acceleration is not constant...

d3x=-6,6 the thrust is not constant

Now we might be tempted to say that:

d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...

And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y

madam [21]3 years ago

8 0

Answer:

The answer is 18

Step-by-step explanation:

Each number is getting 18 added to it

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garri49 [273]

Answer:

28%

Step-by-step explanation:

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3 years ago

Read 2 more answers

Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The

julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em> $\{t\ |\ 0\le t\le 2.236\}$

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

$h(t) = 10 - 2t^2$

Where $t$ is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

$0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds$

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em> $\{t\ |\ 0\le t\le 2.236\}$

4 0

3 years ago

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

3 years ago

Which of the following is equal to √^3√5<br>5^1/3<br>5^1/6<br>5^2/3<br>5^3/2

svlad2 [7]

I think it’s number 3

5 0

3 years ago

A worm walks 40cm in 8 minutes. Give both unit rates. Make sure you include the unit for each. (Total 8 points: 2 points for eac

vodka [1.7K]

40/8 = 5 cm per minute

7 0

3 years ago