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3 years ago

What is the maximum vertical distance between the line y = x + 56 and the parabola y = x2 for −7 ≤ x ≤ 8?

1 answer:

5 0

-7 and 8 are the solutions to the given equation system.
Therefore, the maximum distance between the y values of the two equations must lie exactly between their points of intersection. That is on x value:
x = (-7 + 8)/2 = 0.5
The maximum distance is:
y = 0.5 + 56 = 56.5
y = 0.5² = 0.25
56.5 - 0.25 = 56.25 units

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What is 50% of 30? anyone

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

.5 * 30 = 15

3 0

3 years ago

Read 2 more answers

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf. If he complet

marusya05 [52]

Answer:

24 rounds

Step-by-step explanation:

This question has to do with a factor of numbers which we refer to as:

Lowest common multiple.

Lowest common multiple can be defined as the Lowest multiple that is common to the multiple of two numbers.

We are told in the question that:

Lloyd is making goblins and elves on a video game. It takes 6 rounds to make a goblin and 8 rounds to make an elf.

We find the multiples of 6 and 8

6 = 1, 6, 12, 18, 24, 48, 54, 60, 66, 72 e.tc.

8 = 1, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, e.t.c

The Lowest Common Multiple: This is the least or lowest multiple that is common to both 6 and 8

= 24.

Therefore, it will take 24 rounds for Lloyd to complete another goblin and elf at the same time

4 0

3 years ago

What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π

GrogVix [38]

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π $r^{2}$

r = 2.7 / 2 = 1.35

4 x 3.14 x $1.35^{2}$ = 22.8906

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3 years ago

Workers in an office of 40 staff were asked their favourite take away. the results are summarised in the table.

tia_tia [17]

Answer:

Pizza: 27°

Curry: 108°

Fish and Chips: 63°

Kabab: 27°

Other: 135°

Step-by-step explanation:

Frequency 40 = 360°

Pizza (3) = $\frac{3}{40}$ * 360° = 27°

Curry (12) = $\frac{12}{40}$ * 360° = 108°

Fish and Chips (7) = $\frac{7}{40}$ * 360° = 63°

Kabab (3) = $\frac{3}{40}$ * 360° = 27°

Other (15) = $\frac{15}{40}$ * 360° = 135°

27 + 108 + 63 + 27 + 135 = 360

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3 years ago

In how many ways can a committee of 3 men and 2 women be formed from a group of 9 men and 10 women?

Setler [38]

Answer:

first you have to find the number of ways 3 men can be chosen, then the number of ways 2 women can be chosen, and then you need to multiply these numbers together to get the number of ways because multiplication will show the total arrangements possibilities. use combination since order does not matter.

number ways for 2 out of 10 women total: 10 choose 2= 45

number of ways for 3 out of 9 men total: 9 choose 3= 84

84x45= 3780

3780 total ways

number of ways

6 0

2 years ago