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2 years ago

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

Mathematics

1 answer:

serious [3.7K]2 years ago

6 0

Answer:

k=102

Step-by-step explanation:

hope this helps with your assignment

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The local grocery store has sorted apples by size. The distribution is approximately normal. The large apples have a mean diamet

NikAS [45]

Answer:

Step-by-step explanation:

Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)

3 0

2 years ago

The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin

Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) $m\angle P=4(m\angle Q-5)$

And

B) $m\angle P+ m\angle Q=180$ [Definition of supplementary angles]

Substituting equation A into B.

$4(m\angle Q-5)+ m\angle Q=180$

Solving for $m\angle Q$

Using distribution:

$4m\angle Q-20+ m\angle Q=180$

Simplifying by combining like terms.

$5m\angle Q-20=180$

Adding 20 to both sides.

$5m\angle Q-20+20=180+20$

$5m\angle Q=200$

Dividing both sides by 5.

$\frac{5m\angle Q}{5}=\frac{200}{5}$

$m\angle Q=40$

Substituting $m\angle Q=40$ in equation B.

$m\angle P+ 40=180$

Subtracting both sides by 40.

$m\angle P+ 40-40=180-40$

$m\angle P=140$

Thus, we have:

m∠P=140° (Answer)

7 0

2 years ago

Are the graphs 8x+3y=6 and 8x-3y=6 perpendicular

Alla [95]

Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.

4 0

2 years ago

Please hurry; Toni's grandparents bought a house in 1975 for $28, 000. Every decade, the value of the house doubles. What will b

lyudmila [28]

Answer:

c. $634,000

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the value of tan x°?

dmitriy555 [2]

Hi there!

$\tan(x) = \frac{opposite \: side}{adjecent \: side}$
$\tan(x) = \frac{8}{6}$
$\tan(x) = 1 \frac{1}{3}$

$x = 53.1$
Therefore tan x° = 1 1/3 and x = 53.1°

8 0

2 years ago