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enot [183]
3 years ago
7

Why reading a decimal number correctly help to write it as an equivalent fraction?

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Well, I mean, if you read a decimal incorrectly, what's the point of the fraction if the fraction will end up being incorrect?

Reading 0.5 as 5 will have you write 5/1 instead of 1/2.

So yeah, kinda detrimental.

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If the slope of a line is 2 and the y-intercept is 7, what would the equation be in slope intercept form?
Artist 52 [7]

Answer:

y = 2x+7

Step-by-step explanation:

y = mx + c

m = slope

c is the y intercept

so

y = 2x+ 7

6 0
2 years ago
A root of x2<br> – 5x – 1 = 0 is
My name is Ann [436]
x =(-5+√29)/2= 0.193
5 0
3 years ago
1. what is the period of the function f(x) shown in the graph?
ki77a [65]
Problem 1)

Answer: pi/2

-------------------------------

Place your pencil at (0,3) which is a good starting point, since x = 0 is often a good starting point. Trace along the curve until you reach back up at y = 3 again. So you'll go down and then back up until you reach (pi/2, 3). The difference in x values is pi/2-0 = pi/2. Every pi/2 units, the graph curve repeats itself over and over infinitely. 

Note: this is not the only way to determine the period. You can start at any point really. It helps to start at a min or max value, or at x = 0. In this case, it happened to be both. 

===========================================================
Problem 2)

Answer: See figure 2 (attached image)

-------------------------------

Point A is at (0,0)
Point B is at approximately (1.57,-2) which is exactly (pi/2,-2)

===========================================================
Problem 3)

Answer: See figure 3 (attached image)

===========================================================
Problem 4)

Answer: Choice B
The graph is horizontally compressed by a factor of 2 and shifts up 1 unit

-------------------------------

The jump from x to 2x will have the period go from 2pi to pi. The graph curve repeats itself more and more often (twice as often). Therefore we have an accordion squeeze effect going on, or think of it like a spring being pressed down. We have horizontal compression along the x axis.

Adding 1 to the end shifts every point upward 1 unit. Overall, this gives the visual the entire curve itself is shifted up 1 unit.

===========================================================
Problem 5)

Answer: f(x) = 5.05*sin((pi/12)x)+5.15

-------------------------------

max = 10.2
min = 0.1
difference = 10.2-0.1 = 10.1
Divide this difference in half: 10.1 = 5.05
So a = 5.05 is the amplitude

The period is T = 24 hrs since the height is 5.15 at midnight of one day, it rises and then falls and rises back to 5.15 by the next midnight
b = 2pi/T = 2pi/24 = pi/12
c = 0 since there is no phase shift in this sine function

d = 5.15 is the midline, which is the starting height at x = 0

f(x) = a*sin(bx-c)+d
f(x) = 5.05*sin((pi/12)x-0)+5.15
f(x) = 5.05*sin((pi/12)x)+5.15

===========================================================
Problem 6)

Answers are:
A) The max height of the Ferris wheel is 64 ft
B) The radius of the Ferris wheel is 30 ft

-------------------------------

The largest height of the table is 64, so 64 is the max height. This is why A is true.

B is true since the max is 64 and the min is 4, so 64-4 = 60 is the diameter, making the radius r = d/2 = 60/2 = 30

C is false because the height at t = 0 is 34 ft, but the lowest point is at height h = 4

D is false because the period is actually 10 seconds. Eg: going from t = 7.5 to t = 17.5 is a time of 10 seconds. During this time, the heights are 4, 34, 64, 34, 4 telling us that a full cycle has taken place.

===========================================================

4 0
3 years ago
if the air temperature is 20°c and the relative humidity is 55 percent, will the dew point be reached if the temperature drops t
OlgaM077 [116]

Answer:

Your dew point would be at 10.

Step-by-step explanation:

8 0
3 years ago
The standard recipe for Hershey’s chocolate is 2/9 cups cocoa and 1/6 cups milk. If Hershey’s decided to pour a total of 14 cups
olya-2409 [2.1K]
Ok so if I understand this correctly then you have to find out what each one of them are then add them to get the total number of both of them. So this is the equation I did. The one circled on blue is the formula I made for the equation and then the green one is the answer. which is 5 4/9

I hope this helps.

3 0
3 years ago
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