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jolli1 [7]
4 years ago
8

The table shows the orders pairdof the function y=16+0.5x.

Mathematics
1 answer:
4vir4ik [10]4 years ago
8 0
Y=16+0.5x
To find the order pairs of the given function, put value of x and get the value of y.

When x=0
y=16+0.5(0) 
y=16+0
y=16
Ordered pair is (0,16)
When x =2
y=16+0.5(2)
y=16+1
y=17
Ordered pair is (2,17)
When x=-2
y=16+0.5(-2)
y=16-1
y=15
Ordered pair is (-2,15)

So table for the given function is:
x    |   y
0    |   16
2    |   17
-2   |  15

Just put value of x in the given function and get y.

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Please help!
Mrrafil [7]

Answer:

\sf C. \quad \dfrac{1}{9}

Step-by-step explanation:

<u>Addition Law for Probability</u>

\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)

Given:

  \sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}

  \sf P(B)=\dfrac{2}{9}

  \sf P(A \cup B)=\dfrac{4}{9}

Substitute the given values into the formula and solve for P(A ∩ B):

\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)

\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)

\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}

\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}

\implies \sf P(A \cap B) = \sf \dfrac{1}{9}

4 0
2 years ago
Read 2 more answers
4/3 to the 2nd power
fgiga [73]
16/9 is the answer, just use a calculator next time or multiple 4/3 x 4/3
4 0
4 years ago
Read 2 more answers
Write an expression that is equivalent to 3(2t+6)-4t.
Ber [7]
6t+12-4t
Use the distribution property.
8 0
3 years ago
If you divide the total distance traveled on a car trip (as determined by the odometer) by the elapsed time of the trip, are you
PSYCHO15rus [73]

In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.

So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.

If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.

7 0
3 years ago
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?
Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

A = \pi r^2

where r = radius of the circle

The area of a sector of a circle is given as:

A_s = \frac{\alpha }{2\pi} * \pi r^2

where α = central angle in radians

Since \pi r^2 is the area of a circle, A, this implies that:

A_s = \frac{\alpha }{360}  * A

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi

The area of the circle is 36π.

5 0
3 years ago
Read 2 more answers
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