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2 years ago

a car model comes with the following choices: 9 colors,with or without air conditioning,with or without sunroof ,with or without

automatic transmission ,with or without a spoiler,and with or without anti lock brakes. in how many ways can it be ordered

Mathematics

1 answer:

vfiekz [6]2 years ago

3 0

$9\cdot2^5=288$

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Rewrite ^3 sqrt 27x-81-5 to make it easy to graph a translation. Describe the graph.

iragen [17]

First we have to rewrite this function.Instead of :^3 sqrt (...) we can write : (...)^(1/3).
f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parent function is y = x^(1/3). The zero of this function is ( 0, 0 ).
Then it will be stretched vertically by a factor of 2 and translated: 3 units right and 5 units down.

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2 years ago

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2 years ago

Multiply 72.22 and 4.1

viktelen [127]

Answer: 316.52

Step-by-step explanation:

77.2*4.1 = 316.52

If you have problems with multiplying decimals:

Multiply the numbers just as if they were whole numbers.

1.Line up the numbers on the right - do not align the decimal points.

2.Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

3.Add the products.

4 0

3 years ago

Read 2 more answers

Evaluate g/-5, when g=-5

daser333 [38]

Answer:

g/-5= 1

Step-by-step explanation:

g=-5, so -5/-5 is 1.

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2 years ago

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1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

olga_2 [115]

Given:

It is given that the ridge is 360 inches tall.

Assumptions:

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is $360+67 = 427$ inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

To find the distance from you to your dog.

Solution:

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

$cos \theta = \frac{adjacent side}{hypotenuse} .$

$cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.$

$x=\frac{427}{0.5} = 854.$

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

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3 years ago