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erastova [34]
4 years ago
14

Find a ⋅ b.

Mathematics
1 answer:
WITCHER [35]4 years ago
4 0

You could rewrite this as double brackets, as you are multiplying together two sets of two terms.

It would then look like:

(8i + 6j)(4i + 5j)

and you can expand by multiplying together all of the terms

8i × 4i = 32i²8i × 5j = 40ij6j × 4i = 24ij6j × 5j = 30j²

To get your final answer, you then just need to add together all of the like terms, and get 32i² + 30j² + 64ij

Please give me the brainliest answer :)



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A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4
Vladimir79 [104]

Answer:

The time interval when V_Q(t) \geq 60  is at  1.866 \leq t \leq 3.519

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

V_Q(t) \geq 60    between   0 \leq t \leq 4

The schematic free body graphical representation of the above illustration was attached in the file below and the point when V_Q(t) \geq 60  is at 4 is obtained in the parabolic curve.

So, V_Q(t) \geq 60  is at  1.866 \leq t \leq 3.519

Taking the integral of the time interval in order to determine the distance; we have:

distance = \int\limits^{3.519}_{1.866} {V_Q(t)} \, dt

= \int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt

= By using the Scientific calculator notation;

distance = 106.109 m

4 0
3 years ago
City L has a temperature of −3 °F. City M has a temperature of −7 °F. Use the number line shown to answer the questions: Number
Alik [6]
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4 0
3 years ago
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ki77a [65]
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Answer:

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Step-by-step explanation:

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=========

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Now get the power on the 10. When dividing, the powers subtract.

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The answer is 1.2 * 10^3

7 0
3 years ago
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The appropriate choice is
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3 years ago
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