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3 years ago

PLEASE HELP!!!! 20 POINTS!!!!

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

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Need help with questions 5 and 6

kirza4 [7]

Answer:

Step-by-step explanation:

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3 years ago

Find the value of x. 71° (10x + 6)° (13x - 2)° (8x - 1) #15

lianna [129]

Answer:

7x7/6x4

Step-by-step explanation:

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3 years ago

Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip,

givi [52]

120 barrels x 12 quarts per barrel = 1440 total quarts

1440 quarts / 11 quarts per hour = 130.91 hours to fill all the barrels

1 day = 24 hours

130.91 hours / 24 hours = 5.45 days = 5.5 days

5 0

3 years ago

A golfer takes two putts to get the ball into the hole. The first putt rolls the ball 10.3 feet in the northwest direction and t

creativ13 [48]

Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.

The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.

The sides of these triangles are in ratio $1:1:\sqrt{2}$ so the coordinates after the first putt are

$(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2})$

The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.

Now a second putt of 3.8 feet north puts us at

$(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2} + 3.8)$

The squared distance to the origin is exactly

$d^2 = 10.3^2/2 + (10.3 / \sqrt{2} + 3.8)^2$

A little calculator work tells us

$d \approx 13.2621$

Third choice.

3 0

3 years ago

I would like to know the value of b and c

Ratling [72]

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

8 0

2 years ago