A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
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Answer:
Step-by-step explanation:
Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.
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A score of "3" on a par 5 hole is also known as a(n) _____.
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75. A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours. B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week. C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.
Stephan has a dog that weighs 5 times as much as Ian's dog. The total weight of both dogs is 72 pounds. how much does Stephans dog weigh??
Twenty divided by 60
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The percentage of women spectators is 56%.
The percentage of men spectators is 44%.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of spectators = 750
Number of women = 420
Number of men = 750 - 420 = 330
The percentage of women.
= 420/750 x 100
= 56%
The percentage of men.
= 330/750 x 100
= 44%
Thus,
56% of women are spectators.
44% of men are spectators.
Learn more about percentages here:
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Answer:
first one is 1
Second is -2/3
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Answer:
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
Step-by-step explanation:
A function f(x) is said to be a odd function if:
Also, an odd function always has a symmetry with respect to the origin.
whereas a function f(x) is said to be a even function if:
Also, an even function has a symmetry with respect to the y-axis.
We know that:
Tangent function, cotangent function and cosecant function are odd functions.
Since,
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.
Final answer:
The tangent, cotangent, and cosecant functions are odd and exhibit symmetry with respect to the origin. This is because an odd function satisfies the condition y(x) = -y(-x), meaning for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
Explanation:
The tangent, cotangent, and cosecant functions are indeed odd functions, meaning they exhibit symmetry with respect to the origin. An odd function satisfies the condition y(x) = -y(-x), and when graphed, this produces a symmetry with respect to the origin of the coordinate plane. Essentially, this means that if a point (x, y) is on the graph of an odd function, the point (-x, -y) is also on the graph.
For an example, let's consider the tangent function, which is an odd function: For any angle A, the tangent of -A is the opposite of the tangent of A, or tan(-A) = -tan(A). Graphically, this implies that if we reflect the graph of the tangent function over the x-axis, and then over the y-axis, we will get the original function back, thus verifying the symmetry in odd functions.
Learn more about Odd Functions here:
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Answer:
range is {‒7, 2, 11, 20}
Step-by-step explanation:
a y=3(‒4)+5 c y=3(2)+5
=‒12+5 =6+5
= ‒7 =11
b y=3(‒1)+5 d y= 3(5)+5
=‒3+5 =15+5
=2 =20
so the range is {‒7, 2, 11, 20}
i think it is clear answer i hope it helps you
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