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torisob [31]
2 years ago
5

5. A video game console at Games Galore

Mathematics
1 answer:
dmitriy555 [2]2 years ago
5 0

Answer:

$319.60

Step-by-step explanation:

Normal Game console cost : $399.50

Discount: %20 (0.20)

$399.50×0.20= $79.90

Total cost of discount $79.90

$399.50-$79.90= $319.60

New cost after Discount= $319.60

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Two airplanes are flying in the air at the same height: airplane A is flying east at 250 mi/h and airplane B is flying north at
just olya [345]

Answer:

  decreasing at 390 miles per hour

Step-by-step explanation:

Airplane A's distance in miles to the airport can be written as ...

  a = 30 -250t . . . . . where t is in hours

Likewise, airplane B's distance to the airport can be written as ...

  b = 40 -300t

The distance (d) between the airplanes can be found using the Pythagorean theorem:

  d^2 = a^2 + b^2

Differentiating with respect to time, we have ...

  2d·d' = 2a·a' +2b·b'

  d' = (a·a' +b·b')/d

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To find a numerical value of this, we need to find the values of its variables at t=0.

  a = 30 -250·0 = 30

  a' = -250

  b = 40 -300·0 = 40

  b' = -300

  d = √(a²+b²) = √(900+1600) = 50

Then ...

  d' = (30(-250) +40(-300))/50 = -19500/50 = -390

The distance between the airplanes is decreasing at 390 miles per hour.

3 0
3 years ago
Solve this equation for x. Round your answer to<br> the nearest hundredth.<br> 1 = In(x + 4)
KATRIN_1 [288]

Answer:

x ≈ - 1.28

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Given

ln(x + 4) = 1 , then

x + 4 = e^{1} ( subtract 4 from both sides )

x = e^{1} - 4 = - 1.28 ( to the nearest hundredth )

4 0
3 years ago
First person to answer will get 100 points &amp; Brainliest!
adell [148]

Answer:

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Step-by-step explanation:

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sveta [45]
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8. Graph the following linear equations.<br> a. 3x+5y=15
kenny6666 [7]

Answer:

slope: -3/5

y-intercept (0,3)

x    -      y

0          3

5          0

Step-by-step explanation:

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3 years ago
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