The length of the whole movie was 130 minutes.
Let's call the length of the whole movie "x". According to the problem, Newton and his friends watch 50% of the movie before taking a break. This means they watched 0.5x minutes of the movie.
After the break, they watch the remaining 65 minutes of the movie. So the total time they watched the movie is:
0.5x + 65
But we know that the total time they watched the movie is the same as the length of the whole movie "x". So we can set these two expressions equal to each other and solve for "x":
0.5x + 65 = x
Subtracting 0.5x from both sides, we get:
65 = 0.5x
Dividing both sides by 0.5, we get:
x = 130
Therefore, the length of the whole movie was 130 minutes.
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3x - 8 = 15
Answer:x = 7.667
Step-by-step explanation:
3x - 8 = 15
+ 8 = 23
3x = 23
divide 3 by 3 and 23 so you get x by itself
answer = 7.667
Answer:
x = 7.667
Step-by-step explanation:
3x - 8 = 15 (Rearrange expression)
-8 - 15 = -3x (Combine like terms)
-23 = -3x (Divide)
x = 7.667
the small number is
- 11x + 32.5 < 82
Answer:
x>-4.5
Step-by-step explanation:
- 11x + 32.5 < 82
Subtract 32.5 from each side
- 11x + 32.5-32.5 < 82-32.5
- 11x < 49.5
Divide each side by -11. remembering to flip the inequality since we are dividing by a negative
-11x/-11 > 49.5/-11
x>-4.5
Answer:
1) For
A) Domain=
B) Range=
C) y-intercept = 0
D) Asymptote= No asymptote
2) For
A) Domain=Domain=
B) Range=
C) y-intercept = None
D) Vertical Asymptote: x=0
Step-by-step explanation:
Given : and
Refer the graph attached.
1) In equation (1)
→The domain is the set of all possible values in which function is defined.
y=5x is a linear polynomial defined on all real numbers.
Domain=
→Range is the set of all values that function takes.
It also include all real numbers.
Range=
→y-intercept- Value of y at the point where the line crosses the y axis.
put x=0 in equation y=5x we get, y=0
Therefore, y-intercept = 0 (We can see in the graph also)
→An asymptote is a line that a curve approaches, but never touches.
Asymptote= No asymptote
2) Now in equation (2)
Domain=
because log function is not defined in negative.
Range=
y-intercept - None
Vertical Asymptote: x=0
1)
A) Domain= (-∞, ∞) for all x
B) Range= (-∞, ∞) for all y
C) y-intercept = 0
D) Asymptote= No asymptote
2)
A) Domain=(0, ∞) for all x > 0
B) Range= (-∞, ∞) for all y
C) y-intercept = None
D) Vertical Asymptote: x=0
Here, we have,
Function 1: y = 5x
Domain: The domain of this function is all real numbers because there are no restrictions on the values that x can take.
Range: The range of this function is also all real numbers because for every value of x, we can find a corresponding y value by multiplying it by 5.
Y-intercept: To find the y-intercept, we set x = 0 and solve for y. Substituting x = 0 into the equation, we get y = 5(0) = 0. Therefore, the y-intercept is (0, 0).
Asymptotes: There are no asymptotes in this linear function.
Function 2: y = log₅x
Domain: The domain of this function is all positive real numbers because the logarithm function is only defined for positive values of x.
Range: The range of this function is all real numbers because the logarithm function can produce any real number output.
Y-intercept: To find the y-intercept, we set x = 1 and solve for y. Substituting x = 1 into the equation, we get y = log₅(1) = 0. Therefore, the y-intercept is (0, 0).
Asymptotes: The logarithmic function has a vertical asymptote at x = 0 because the logarithm is undefined for x ≤ 0. Additionally, there is no horizontal asymptote.
When plotting these functions on the same set of axes, we will observe that the graph of y = 5x is a straight line passing through the origin (0, 0) with a slope of 5.
The graph of y = log₅x will appear as a curve that starts at the point (1, 0) and approaches the vertical asymptote x = 0 as x approaches zero.
The two graphs will intersect at the point (1, 0) because log₅1 = 0.
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The calculated length of the segment WX is 40.26 units
From the question, we have the following parameters that can be used in our computation:
The right triangle
Using the ratio of proportional sides, we have
VX/UX = WX/VX
This gives
WX = VX * VX/UX
Substitute the known values into the equation
WX = 37 * 37/34
Evaluate
WX = 40.26
Hence, the length of the segment WX is 40.26 units
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Without specific relationships or equations that relate UX, VX, and WX, it is not possible to determine the value of WX with the given values, UX=34 and VX=37.
The question is missing information necessary to accurately determine the value of WX. With the given values, UX=34 and VX=37, we do not have a specific relationship or equation that relates UX, VX, and WX. If there was a relationship or equation provided, such as VX = UX + WX, we could then substitute the known values to calculate WX.
However, without the necessary information, determining the value of WX is not possible. Recheck your problem statement, and make sure all the relevant details are included. Ensuring the question provides all the necessary information from your problem will aid in obtaining an accurate answer.
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1.5 cm is the length of the model.
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
a model car has a scale of 3 cm : 2 m.
The length of the actual hood of the car is 1 m.
Now,
Set up a proportion:
3cm/2m = x/1m
Cross-multiply:
2x=3
Divide by 2:
x=1.5 cm
Hence, 1.5 cm is the length of the model.
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