What is 506 divided by 22

You roll a number cube twice. Find the probability of the event. Rolling a 1 then a 2.

kap26 [50]

P( 1) = 1/6
P(2) = 1/6

Probability of 1 then 2 = 1/6 * 1/6 = 1/36

7 0

3 years ago

Which of the following best describes the graphs below?

Sati [7]

Answer:

D

Step-by-step explanation:

Look at all possibilities then use all of them then find out which one matches the best.

8 0

4 years ago

A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).

Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0

3 years ago

Which values are solutions to the inequality –3x – 4 < 2?

Roman55 [17]

Answer: x>-2

Step-by-step explanation:

To find the values of the inequality, you treat this like it would be any other equation.

$-3x$

$x>-2$

4 0

3 years ago

What is the rate of change of the amount earned with respect to hours worked for this function?

aleksley [76]

Question:

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Answer: 13 dollars per hour

Step-by-step explanation:

The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x2, y2)

Point b = (2, 26) = (x1, y1)

Calculating the gradient or slope :

Rate of change = (y2 - y1) / (x2 - x1)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

= 13 dollars per hour

4 0

3 years ago

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