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elena-s [515]
2 years ago
5

His height while on the second roller coaster, measured in feet from the platform helght, can be modeled by a trigonometric func

tion, shown in
this table, where tis the number of seconds since the ride began.
C
0 20
40
60
80
100
120
140
160
g(0) 0 50
100
50
0
-50
-100
-50
0
Which two statements best describe Michael's height while on the two roller coasters?
On the second roller coaster, Michael's height switches from positive to negative approximately
every 20 seconds.
On the first roller coaster, Michael's height switches from positive to negative approximately every
80 seconds.
On the second roller coaster, Michael's height switches from positive to negative approximately
every 40 seconds.
On the second roller coaster, Michael's height switches from positive to negative approximately
every 80 seconds.
On the first roller coaster, Michael's height
20 seconds.
itches from positive to negative approximately every
On the first roller coaster, Michael's height switches from positive to negative approximately every
40 seconds.

Mathematics
1 answer:
Alja [10]2 years ago
4 0

Answer:C.

Step-by-step explanation:

Hope this helps you ツ.

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Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of
Vladimir79 [104]
There's only one decimal point in the answer. This is quite obvious. Regardless of whether or not your adding, subtracting, dividing, or multiplying, there's really only going to be one decimal, ever. This doesn't change, However, what DOES change are decimal PLACES.

Looking at the problem, you see both .6 and .4 are placed to the right of the decimal, otherwise known as the tenths place (1/10). 

Looking at 1.9, you see you have one number (1) placed to the left of the decimal, the ones place, and another number placed to the right of the decimal (9), in the tenths place. 

Well, this is simple. You can look and see that your multiplying fractions against a whole number, which will of course make this whole number even smaller. By how much though??

Well, you can really tell this by looking at how MANY numbers are behind the decimal. You have .9, .4, and .6

That's 3 numbers behind the decimal place. This may not help you solve the problem itself, but this tells you here (ignoring the 1, that will be taken out immediately while solving and turned into a 0) that you will have 3 numbers placed from the tenths place all the way to the thousandths place.

Basically, this tells you that you'll have three decimal places to the right of the decimal. 

As for rewriting your problem to better show this, that's simple too.

All you have to do is simple multiplication, just in the tenths place. How? You know that 6*4 (referring to .6 and .4) is 24, that means that .6*.4 will be .24

How does this support your answer before? .24 has TWO numbers to the right of the decimal. That's TWO decimal places. With the .9 in 1.9, that's still THREE decimal places to the right of the decimal, and your answer would be the same.

So, here's it re-written.
1.9*.24=X

~Hope this helps!


4 0
3 years ago
What is the slope of the line on the graph?
TiliK225 [7]

Answer:The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.

3 0
2 years ago
Which set of numbers has 21 as a common factor?
Soloha48 [4]

Answer:

the answer is A {126,168,189}

7 0
2 years ago
Determine the inverse of the function. (show work please)
uysha [10]

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

5 0
3 years ago
Will someone please answer this and remind me how to solve this
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Since the two triangles are similar, you can use proportions to solve for the value of x

\frac{x}{12}  = \frac{4}{3}

Now, just multiply 4 and 12.

4 * 12 = 48

Then divide that by 3.

48 / 3 = 16

Therefore, x = 16.

5 0
3 years ago
Read 2 more answers
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