Find the missing terms in the arithmetic sequence <br> 15 , ____ , ____ , ___

a triangular pyramid has a volume of 840 cubic inches the triangular base has a base length of 20 inches and a height of 21 inch

luda_lava [24]

The answer is 2. You can find it by multiplying 20 and 21 giving you 420 and since 420 is half of 840 then all you would have to do is multiply 420 by 2 meaning the height is 2 since if you multiplied all in one it would be 20 x 21 x 2=840

5 0

3 years ago

A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$

Thus, the instantaneous rate would be around 21.75 cm/s

8 0

3 years ago

The number p and −1.2 are additive inverses.

Darina [25.2K]

Answer:

can youpost a pic of the number line? its be helpful in solving your question.

Step-by-step explanation:

4 0

3 years ago

What is the total perimeter of this figure?

wel

I would say ummmmmmm probably 31.71

3 0

4 years ago

4. After measuring the mass of water, the data is averaged and it is determined that the mean of 4 measurements is 122.4 g with

pogonyaev

The mass of the object would be the mean which is 122.4, which must be rounded to three significant figures, i.e 122 g.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

After measuring the mass of water,

the data is averaged and it is determined that the mean of 4 measurements is 122.4 g with a standard deviation of 1.3 g.

If the deviation is 1.3 g then, the true measurement will be

122.4g - 1.3g to 122.4g + 1.3g:

Lower limit: 122.4 g - 1.3 g

= 121.1 g

Upper limit: 122.4 g + 1.3 g

= 123.7 g

only the first two digits, hundreds and tens places, are certain.

The one digit is uncertain.

It should report the number with three significant figures:

2 certain digits + 1 uncertain digit.

The mass of the object would be the mean which is 122.4,

which must be rounded to three significant figures, i.e 122 g.

Learn more about the unitary method;

brainly.com/question/23423168

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3 0

2 years ago

Find the missing terms in the arithmetic sequence 15 , ____ , ____ , ____,17​

Find the missing terms in the arithmetic sequence 15 , , , ,17