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2 years ago

5

A plane veered off its course at an angle of 11 degrees. If the plane ended up 170 miles due west of its planned destination, ho

w far did it fly? Estimate your answer to two decimal places.

1 answer:

Ede4ka [16]2 years ago

5 0

The answer is 681.31 miles.

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3 years ago

A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Further explanation:

Given:

A local company rents a moving truck for $\$ 750.$

Rent per mile is $\$ 0.59$ if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is $\$ 750$ if he drove less than 1000 miles.

${\text{Cost}} = \$ 750{\text{ }}x \leqslant 1000$

The rental cost of the truck can be expressed as follows,

${\text{Cost}} = 750 + 0.59x{\text{ }}x > 1000$

The rental cost is at most $\$1000.$

$750 + 0.59x \leqslant 1000$

The maximum number of miles can be obtained as follows,

$\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}$

The maximum number of miles can be obtained as follows,

$\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}$

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over

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3 years ago

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The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST. The hypotenuse of the triangle is RS.

Norma-Jean [14]

If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.
Therefore, the coordinates of point T are ( x, y ) = ( - 4, - 5 )
Answer:
T ( - 4, - 5 )

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3 years ago

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the mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. what is the p

Novosadov [1.4K]

Based on the given description above, I have analyzed it and come up with a solution to get the probability if in a random sample of 25 students from this said group and the average height is between 73 and 75 inches. So if you calculate it, it will be like this:
<span>2P(Z<2)−1</span> To find the probability of Z, use the normal distribution table.
The value for Z being less than 2 is 0.9772. The final result is then<span><span>2(0.9772)−1=0.9544
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3 years ago

Solve for x. *<br> (5x + 13)<br> (9x - 31)

ycow [4]

Answer:

x=11

Step-by-step explanation:

5x+13=9x-31

subtract 9 from both sides.

-4x+13=-31

you want to isolate the x value so subtract 13 from both sides.

-4x=-44

now divide both sides by -4.

x=11

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3 years ago