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wariber [46]
3 years ago
12

I need to show the work:

Mathematics
1 answer:
denis23 [38]3 years ago
5 0

9514 1404 393

Answer:

  19.25 miles

Step-by-step explanation:

Antoine's rate before lunch was ...

  (5.25 mi)/(3 h) = 1.75 mi/h

Then his rate after lunch was ...

  2×(1.75 mi/h) = 3.5 mi/h

The distance he hiked after lunch was ...

  distance = speed × time

  (4 h)×(3.5 mi/h) = 14 mi

The distance Antoine hiked is the total of his before-lunch distance and his after-lunch distance:

  5.25 mi + 14 mi = 19.25 mi

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Find the inflection point of the function of f(x) = x³ -6x² +12x
Wewaii [24]

Points of inflections are zeroes of the second derivative. We have:

f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12

So, the second derivative equals zero if and only if

f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2

So, this is the only point of inflection of this function.

5 0
4 years ago
Please help me with this it's really important
wlad13 [49]

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

3 0
3 years ago
Brad sells each cup of lemonade for $0.50. He wrote the equation y = 0.50x to figure out the amount y he will get for selling cu
Dvinal [7]
(X,Y) is (20,10) so that mean he made 10 bucks and sold 20 cups
6 0
4 years ago
In the base-ten number system, ten digits {0, 1, 2, 3, 4, 5, 7, 8, 9) are used for number
SVETLANKA909090 [29]

Answer:

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6 0
2 years ago
If cos 0= -3/5 in quadrant ii, what is sin 0
ipn [44]

The value of sin 0 in quadrant 2 is 4/5

<h3>How to determine the identity</h3>

Given that cos 0 = -3/5

We have;

  • adjacent = -3
  • hypotenuse = 5

Let's find the opposite side, using Pythagorean theorem

5^2 = x^2 + (-3)^2

25 = x^2 + 9

collect like terms

x^2 = 25 - 9

x^2 = 16

x = √ 16

x = 4

We have that

sin 0 = opposite/hypotenuse

sin 0 = 4/5

It is important to note that the trigonometric identity 'sine' is positive in quadrant 2

sin 0 = 4/5

Hence, the value of sin 0 in quadrant 2 is 4/5

Learn more about quadrant here:

brainly.com/question/863849

#SPJ1

8 0
2 years ago
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