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solong [7]
3 years ago
5

a car can travel 476 miles in 14 gallons of gas write an equation relating the distance to the number of gallons how many gallon

s does this car take to travel 578 miles
Mathematics
1 answer:
shutvik [7]3 years ago
5 0
476/14 is 34
You are very welcome
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Suppose you put $150 in the bank for 2 years at a 3% simple annual interest rate. How much interest will you have earned at the
STALIN [3.7K]

Answer:

$9 in interest for a total of $159

Step-by-step explanation:

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3 years ago
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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha
GalinKa [24]

Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

Nonagon = 9\ sides

Hexagon = 6\ sides

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

<u>Hexagon</u>

\theta = \frac{360}{6} =60

List the multiples of 60

\theta_2 = 60, 120, 180, 240, 300

List out the common angles

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0
3 years ago
Which function has the following characteristics?
iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at y = -\frac{1}{2} is given by:

f(x) = -\frac{x}{2(x - 3)}

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

f(x) = \frac{g(x)}{x - 3}

The horizontal asymptote at y = -1/2 means that:

\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}

Which happens if g(x) = -\frac{x}{2}, hence the function is:

f(x) = -\frac{x}{2(x - 3)}

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

4 0
2 years ago
(m + n^2)(m^2 - mn^2 + n^4) = find the product of the expression.Show your work.
hram777 [196]
Final Answer is 4n-32/(n-4)(n+4)
3 0
3 years ago
Please Help<br> Question; What is the value of x?
Maksim231197 [3]

Answer:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Step-by-step explanation:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

6 0
3 years ago
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