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3 years ago

Find the 9th term for 150,60,24

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

a(9) = 150*(0.4)^8 = 0.098304

Step-by-step explanation:

This is a geometric sequence, because each new term is 0.4 times the previous term.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:

a(n) = 150*(0.4)^(n - 1), and so

a(9) = 150*(0.4)^8 = 0.098304

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What conclusion can you draw about a nonzero real number if its absolute value is equal to itsopposite?

Katen [24]

Given Question

The problem can be translated to: IxI = -x.

Procedure

These lead to a system of linear equations

x = -x for x>0….Equation 1

x = -(-x) for x<0….Equation 2

From Equation 1 x = 0 which is not accepted since it is given x is a non-zero real number.

From the Equation 2 x = x

Which is valid for all real numbers such that x<0

Conclusion

Therefore we conclude here that x should be a negative real number to have its absolute value equals to its opposite.

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2 years ago

How are the decimals .05, .05 and .005 similar?

dolphi86 [110]

Bc they all contain 5 but different place values

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3 years ago

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.

snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = $\frac{\text{Distance traveled}}{\text{Time}}$

= $\frac{210}{3.5}$

= 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = $\frac{\text{Distance traveled}}{\text{Time}}$

= $\frac{60}{1}$

= 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

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3 years ago

In science class, the average score on a lab report is 82 points, with all students scoring within 3.2 points of the average. if

gregori [183]

The absolute value equation that represents the minimum and maximum scores is:

|x - 82| = 3.2.

<h3>What is the absolute value function?</h3>

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

More can be learned about absolute value equations at brainly.com/question/24514895

#SPJ1

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2 years ago

1. The function, g, is graphed below. EXPLAIN how to find x, if g(x) = -1 in sufficient<br> detail

konstantin123 [22]

<h3>Answer: x = 1</h3>

=====================================

Explanation:

Step 1) Start at -1 on the y axis.
Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
Step 3) Mark the point of intersection. Let's call it point A.
Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.

All of this is shown in the diagram below.

Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.

Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.

Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.

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3 years ago