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3 years ago

Which problem situation can be represented by the algebraic model y = 120 - 3x?

Mathematics

1 answer:

erastova [34]3 years ago

8 0

Answer:

Thomas is cutting 3-inch pieces off a 120-

inch long rod. What is the length of the rod,

y, after he has cut off x pieces?

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Solve h + 6 / 5 = 2 Solve for h

skelet666 [1.2K]

Answer:

-1

Step-by-step explanation:

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3 years ago

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Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B

nekit [7.7K]

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

= 0.63

3 0

3 years ago

What are the extremes of the following proportion? 3⁄15 = 12⁄60

pashok25 [27]

Answer:

3 and 60

Step-by-step explanation:

For the given proportions, $\frac { 3 } { 15 } = \frac { 12 } { 60 }$ , 3 and 60 are the extremes while 12 and 15 are the means.

To understand this, we can take a look at an example.

Suppose two ratios a:b and c:d are in proportion.Then it can be expressed as :

$ab=cd$

Here, a and d are the extreme ends and b and c are the means.

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3 years ago

(x*2y*4z)*5 (xy)*2 Simplify expression

irinina [24]

Step-by-step explanation:

x(2)y(4)z(5)xy(2)

$=80 {x}^{2} {y}^{2} z$

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3 years ago

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and