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Elanso [62]
3 years ago
11

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer re

presents the vertical change from the start of the ride for the coaster after the 20 seconds?
Mathematics
1 answer:
Finger [1]3 years ago
5 0

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

<em>Upward movements are represented with positive, while downward movements are represented with negative.</em>

<em />

So, the given parameters are:

Up = 100m

Down = -72m

Up= 48m

The vertical rise is:

Rise = Up_1 + Down + Up_2

So, we have:

Rise = 100m -72m +48m

Rise = 76m

Hence, the integer that represents the vertical rise is 76

Read more about arithmetic operations at:

brainly.com/question/15385899

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A parallelogram is ______ a rhombus. never, always, sometimes​
Nataly [62]

Answer:

never

Step-by-step explanation:

5 0
3 years ago
How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)
kaheart [24]
Set the whole expression = to 0 and solve for x.

3x^(5/3) - 4x^(7/3) = 0.  Factor out x^(5/3):     x^(5/3) [3 - 4x^(2/3)] = 0

Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.

In the latter case, 4x^(2/3) = 3. 

To solve this:  mult. both sides by x^(-2/3).  Then we have

4x^(2/3)x^(-2/3) = 3x^(-2/3),            or 4 = 3x^(-2/3).  It'd be easier to work with this if we rewrote it as

4           3
---  = --------------------
1            x^(+2/3)

Then 

4
---  = x^(-2/3).  Then, x^(2/3) = (3/4), and x = (3/4)^(3/2).  According to my     3                      calculator, that comes out to x = 0.65 (approx.)

Check this result!  subst. 0.65 for x in the given equation.  Is the equation then true?

My method here was a bit roundabout, and longer than it should have been.  Can you think of a more elegant (and shorter) solution?
7 0
3 years ago
Read 2 more answers
The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia
Lena [83]
The 68 - 95 - 99.7 rule, gives the basis to solve this question.

It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.

Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches

mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches

mean +  2 standard deviations = 64.5 inches + 5 inches = 69.5 inches

Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.

6 0
3 years ago
Someone please help i am very confused.
Inessa [10]

Answer:

Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.

Step-by-step explanation:

Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.

We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).

Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.

We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.

4 0
2 years ago
Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846
PIT_PIT [208]

Answer: C

Step-by-step explanation:

992/4=165

846/6=141

165+141=306

(992/4) + (846/6) = 306 total calories consumed

3 0
3 years ago
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