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lozanna [386]
3 years ago
5

Find a + b, 2a + 3b, |a|, and |a − b|. a = i + 4j − 2k, b = −4i − j + 6k

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
A + b = i + 4j - 2k + (-4i - j + 6k)

= i + 4j - 2k - 4i - j + 6k

= -3i + 3j + 4k
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A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score
kvv77 [185]

The z-score of Kimmie is -0.625

<h3>Calculating z-score</h3>

The formula for calculating the z-score is expressed as;

z = x-η/s

where

η is the mean

s is the standard deviation

x is the Kimmie score

Substitute the given parameter

z = 85.9-88.4/4.0

z = -2.5/4.0

z = -0.625

Hence the z-score of Kimmie is -0.625

Learn more on z-score here: brainly.com/question/25638875

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2 years ago
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Nookie1986 [14]
78 degrees mArc V X in the diagram
4 0
3 years ago
"10 less 2 times a number"<br> O 10r - 2<br> 0 2r - 10<br> O 2 - 10<br> O 10 - 2r<br> 10 - 2
4vir4ik [10]

the answer to the question is 2r-10

4 0
3 years ago
Read 2 more answers
Find the exact location of all the relative and absolute extrema of the function. HINT [See Examples 1 and 2.] (Order your answe
icang [17]

Answer:

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  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum (or "no absolute maximum")

Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

  h'(t) = 24t^2 -48t = 24t(t -2)

This has zeros at t=0 and t=2, so that is where extremes will be located.

We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

  h(-1) = 8(-1)²(-1-3) = -32

  h(0) = 8(0)(0-3) = 0

  h(2) = 8(2²)(2 -3) = -32

  h(∞) = 8(∞)³ = ∞

The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.

The extrema are ...

  • (-1, -32) absolute minimum
  • (0, 0) relative maximum
  • (2, -32) absolute minimum
  • (+∞, +∞) absolute maximum

_____

Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

5 0
3 years ago
From sea level, a submarine descends 20 feet per minute. Where is the submarine in relation to sea level 5 minutes after it star
Katen [24]
The correct answer is C.) 100 feet

(Feet per minute) x (number of minutes)

20x5 = 100
4 0
3 years ago
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