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3 years ago

A study at a major university concluded that many students are cheating.

Mathematics

1 answer:

marshall27 [118]3 years ago

7 0

The answer is a) 1500 because when you divide 675 (the given number of students that cheated on 1 to 7 courses) by 1500 you get .45 or 45%.

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a city that has an elevation of 15 meters is closer to sea level than a city with an elevation of -10 true or false? explain you

12345 [234]

Answer:

False

Step-by-step explanation:

At sea level, elevation is 0. This means that we can portray sea level as being the midpoint of distances below sea level and distances above sea level.

Thus, a distance of 1 m below sea level = - 1 is equivalent to a distance of 1 m above sea level albeit in opposite directions.

Hence, an elevation of 15m above sea level is greater in distance Than an elevation of - 10 m below sea level because the absolute value of 15 is greater than the absolute value of 10.

|15 - 0|= 15

|-10 - 0| = 10

Hence, elevation of - 10 below Sea level is closer to sea level than elevation of 15 above sea level

5 0

2 years ago

Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84

guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0

2 years ago

A right triangle is shown below: the area of the triangle above will equal one half of a rectangle that is 5 units long and_ uni

navik [9.2K]

The area of the triangle above will equal one half of a rectangle that is 5 units long and 3 units wide.
The area of the triangle is 7.5 units and the area of the rectangle is 15 units

5 0

3 years ago

Read 2 more answers

What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8

Nastasia [14]

8 occurs most often.

7 0

3 years ago

If you have a cube measuring 1 unit on each side, how many of those cubes would fit into a space 2 units by 3 units by 4 units

alisha [4.7K]

Given:

Measure of a cube = 1 unit on each side.