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Sladkaya [172]
2 years ago
6

At noon, Bradley began steadily increasing the

Mathematics
2 answers:
barxatty [35]2 years ago
8 0

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

Colt1911 [192]2 years ago
5 0

Answer:

25.5 mph

Step-by-step explanation:

Given information:

  • Bradley increases the speed of his car by <u>2 miles per hour</u>.  
  • 12.00 pm: Bradley's speed = <u>40 mph</u>
  • 12.15 pm: Bradley is driving at <u>15 miles over</u> the speed limit.

<u>Calculate Bradley's speed at 12.15 pm</u>:

60 minutes = 1 hour

⇒ 15 minutes = 1/4 hour

⇒ speed at 12.15 pm = speed at 12.00pm + 1/4 of 2 mph

                                  = 40 mph + 0.5 mph

                                  = 40.5 mph

If he was <u>15 miles over</u> the speed limit at <u>12.15 pm</u> then:

⇒ speed limit = speed at 12.15pm - miles over the limit

                       = 40.5 mph - 15

                       = 25.5 mph

Therefore, the speed limit was 25.5 mph.

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Answer:

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Step-by-step explanation:

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tan x is defined as -------------

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and we can solve this for sin x:  sin x = (cos x)(tan x)

which here is:  sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)

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4 years ago
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Explanation:

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5 0
3 years ago
Read 2 more answers
The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

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\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

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Collect like terms

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Make x the subject

x = \frac{y}{0.40}

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So, the average is:

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Average = (1 - 30\%) * 2.50y

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Express as percentage

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3 years ago
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
gtnhenbr [62]

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

3 0
3 years ago
Find the area of the region shaded in green. Use 3.14 to approximate pi.
8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

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Radius of large circle= 15cm

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= 225π -144π

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3 years ago
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