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Mariulka [41]
3 years ago
9

Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has

a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?

A. Z
B. X
C. W
D. Y​

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

If I had to guess... I think it would be Y

Step-by-step explanation:

The reason why I think its Y is because the line on the graph seems to go constant till it gets to the tip. As you can see the line is less slanted meaning that she is going slower. (If you know what I mean.. I tend to be bad at explaining things hehe..)

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What quantity could go into the blank to make the equation a true statement? 5a + a + ___ = 10a
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Answer:

4a

Step-by-step explanation:

Just like addition.

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3 years ago
Hurry please help Please do the second one
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Answer:

B

Step-by-step explanation:

For y to be a function of x, x must only have one value for each y value.

In B, the number 10 comes up twice in the x row. Therefore, y is not a function of x.

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I have a bag of trail mix. One half of the bag is peanuts 1/4 of the bag is chocolate candies,1/4 of the bag is dried fruit. Wha
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3 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval.
anyanavicka [17]

The question is missing parts. Here is the complete question.

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x)=xe^{-\frac{x^{2}}{32} } , [ -2,8]

Answer: Absolute maximum: f(4) = 2.42;

              Absolute minimum: f(-2) = -1.76;

Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.

<u>Absolute</u> <u>maximum</u> is a point where the function has its greatest possible value.

<u>Absolute</u> <u>minimum</u> is a point where the function has its least possible value.

The method for finding absolute extrema points is

1) Derivate the function;

2) Find the values of x that makes f'(x) = 0;

3) Using the interval boundary values and the x found above, determine the function value of each of those points;

4) The highest value is maximum, while the lowest value is minimum;

For the function given, absolute maximum and minimum points are:

f(x)=xe^{-\frac{x^{2}}{32} }

Using the product rule, first derivative will be:

f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )

f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} ) = 0

1-\frac{x^{2}}{16}=0

\frac{x^{2}}{16}=1

x^{2}=16

x = ±4

x can't be -4 because it is not in the interval [-2,8].

f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76

f(4)=4e^{-\frac{4^{2}}{32} }=2.42

f(8)=8e^{-\frac{8^{2}}{32} }=1.08

Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.

Therefore, absolute maximum is f(4) = 2.42 and

absolute minimum is f(-2) = -1.76

8 0
3 years ago
The galaxy closest to our solar system’s position in the Milky Way is the Canis Major dwarf galaxy. Its distance from the Sun is
const2013 [10]
Distance from the Sun to the Canis Major Dwarf Galaxy =     12^{16}   miles

Distance from the Sun to Jupiter =      12^8    miles

Distance from the Sun to the Canis Major Dwarf Galay    
------------------------------------------------------------------------------ =
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\frac{ 12^{16} }{ 12^{8} } = 12^{16-8} = 12^{8}

Answer: 12^8
3 0
3 years ago
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