Z varies jointly as x and y. If z=3 when x=3 and y=15, find z when x=6 and y=9
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Answer: 6
Step-by-step explanation:
Related Questions
Janna is making a prediction of the frequency of a key that is 12 keys from middle c. which best describes her prediction? interpolation, because a key that is 12 keys from middle c is within the data set interpolation, because a key that is 12 keys from middle c is outside the data set extrapolation, because a key that is 12 keys from middle c is within the data set extrapolation, because a key that is 12 keys from middle c is outside the data set
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 3y + 5 < 10
Evaluate the following expression: 7.0 x 10⁴ + 6.0 x 10³ A) 13 x 10⁷ B) 42 x 10⁷ C) 67 x 10³ D) 76 x 10³
What is the area of this figure.
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-5x=3
x=3/-5
x=-0.6
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To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).
cos (135)= - (√2)/2
sin (135) = (√2)/2
Final answer:
To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.
Explanation:
The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.
For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.
For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.
Learn more about Trigonometric functions here:
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Answer:
x=-8
Step-by-step explanation:
Multiply -4 by each number in the parenthesis ( distributive property )
Add x to -8x ( -7x )
Add 44 to 12 ( 56 )
Divide 56 and -7
You should get x=-8
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X
(-1,-5)
What is the y-intercept of this graphed line?
PLEASE HELP!!!!!!
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The y-intercept is when a point passes through the y-axis. Hope this helps:)
Final answer:
To find the y-intercept of the given linear function, first, the slope of the function is calculated using the provided points. Then, the slope and one pair of coordinates are substituted into the y = mx + b equation to solve for 'b', which is the y-intercept.
Explanation:
In mathematics, specifically in the context of linear functions, the y-intercept is the point at which the line crosses the y-axis. From the provided points, however, it's not immediately clear what the y-intercept is.
To find the y-intercept, we need to determine the line's equation first. The equation of a line can be represented in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), substituting the given points. After calculating the slope, we can plug one pair of the given coordinates into the equation y = mx + b, and solve for 'b', which gives us the y-intercept.
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#SPJ3
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Answer: 5200300
Step-by-step explanation:
Given: Total number of people = 25
The number of member juries can be chosen from a pool of 25 people= 12
To calculate combinations, we use the formula as :-
, where n represents the total number of items, and r represents the number of things being chosen at a time.
Now, the number of different 12 member juries can be chosen from a pool of 25 people is given by :_
Hence, the number of different 12 member juries can be chosen from a pool of 25 people is 5200300.
where n is 25 and r is 12. The number of ways is 5,200,300.