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4 years ago

Scalar and matrix multiplication Find the product:

Mathematics

1 answer:

tia_tia [17]4 years ago

3 0

Answer:

a = 1 , b = 0 and c = 5

Step-by-step explanation:

The given matrix are,

[2 1 0] X 1 -1 2 = [a b c]

-1 -2 1

0 1 1

a = (2*1) + (1*-1) +(0*0) = 2 -1 + 0 = 1

b = (2*-1) + (1*-2) +(0*1) =-2 -2 + 0 = 0

c = (2*2) + (1*1) +(0*1) = 4 +1 + 0 = 5

Therefore the values of a,b, and c are

a= 1 , b = 0 and c = 5

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Answer:

You need a corpus of text. It usually gathers text from passages, chapters, or sections of a book.

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3 years ago

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A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 29 ft/s. Its height

Ilia_Sergeevich [38]

Answer:

$\overline{v}_{@\Delta t=0.01s}=-15.22ft/s, \overline{v}_{@\Delta t=0.005s}=-15.11ft/s, \overline{v}_{@\Delta t=0.002s}=-15.044ft/s, \overline{v}_{@\Delta t=0.001s}=-15.022ft/s$

Step-by-step explanation:

Now, in order to solve this problem, we need to use the average velocity formula:

$\overline{v}=\frac{y_{f}-y_{0}}{t_{f}-t_{0}}$

From this point on, you have two possibilities, either you find each individual $y_{f}, y_{0}, t_{f}, t_{0}$ and input them into the formula, or you find a formula you can use to directly input the change of times. I'll take the second approach.

We know that:

$t_{f}-t_{0}=\Delta t$

and we also know that:

$t_{f}=t_{0}+\Delta t$

in order to find the final position, we can substitute this final time into the function, so we get:

$y_{f}=29(t_{0}+\Delta t)-22(t_{0}+\Delta t)^{2}$

so we can rewrite our formula as:

$\overline{v}=\frac{29(t_{0}+\Delta t)-22(t_{0}+\Delta t)^{2}-y_{0}}{\Delta t}$

$y_{0}$ will always be the same, so we can start by calculating that, we take the provided function ans evaluate it for t=1s, so we get:

$y_{0}=29t-22t^{2}$

$y_{0}=29(1)-22(1)^{2}$

$y_{0}=7ft$

we can substitute it into our average velocity equation:

$\overline{v}=\frac{29(t_{0}+\Delta t)-22(t_{0}+\Delta t)^{2}-7}{\Delta t}$

and we also know that the initil time will always be 1, so we can substitute it as well.

$\overline{v}=\frac{29(1+\Delta t)-22(1+\Delta t)^{2}-7}{\Delta t}$

so we can now simplify our formula by expanding the numerator:

$\overline{v}=\frac{29+29\Delta t-22(1+2\Delta t+\Delta t^{2})-7}{\Delta t}$

$\overline{v}=\frac{29+29\Delta t-22-44\Delta t-22\Delta t^{2}-7}{\Delta t}$

we can now simplify this to:

$\overline{v}=\frac{-15\Delta t-22\Delta t^{2}}{\Delta t}$

Now we can factor Δt to get:

$\overline{v}=\frac{\Delta t(-15-22\Delta t)}{\Delta t}$

and simplify

$\overline{v}=-15-22\Delta t$

Which is the equation that will represent the average speed of the ball. So now we can substitute each period into our equation so we get:

$\overline{v}_{@\Delta t=0.01s}=-15-22(0.01)=-15.22ft/s$

$\overline{v}_{@\Delta t=0.005s}=-15-22(0.005)=-15.11ft/s$

$\overline{v}_{@\Delta t=0.002s}=-15-22(0.002)=-15.044ft/s$

$\overline{v}_{@\Delta t=0.001s}=-15-22(0.001)=-15.022ft/s$

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3 years ago

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Whitepunk [10]

Total no. of hours you spent biking = 2 hours
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Now,
We have,
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$17.6 = \frac{distance}{2}$

$17.6 *2= distance$

$35.2=distance$

So, you for given conditions, you can't travel more then 35.3 miles

So, the inequality for the given circumstances is:
x ≤ 35.2

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4 years ago

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A triangle has side lengths of 11 cm and 6 cm. Which could be the value of the third side, 21 cm or 14 cm? Is it 14 or 21?

inn [45]

Answer:

Step-by-step explanation:

As long as two sides of a triangle added together are larger than the third side, it is an accurate triangle!

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