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2 years ago

Find the 15th term of the geometric sequence 180, 90, 45,...

Mathematics

1 answer:

denis23 [38]2 years ago

7 0

Answer:

$\frac{45}{4096}$

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

$a_n=a_1*q^{n-1};$

3) according to the formula 15th term is:

$a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}$

or ≈0.011.

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The zeros of function d are -3 and 8 which expression could be a factor of function d?

galina1969 [7]

Answer:

x + 3

Step-by-step explanation:

When you substitute the x for -3, it will equal 0. This means it's a zero of the function.

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3 years ago

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

weeeeeb [17]

Answer:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

$y-2=\frac{-4}{5} (x+3)$

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

$y=\frac{-4}{5} x-\frac{2}{5}$

Thus, our two equations are:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

8 0

2 years ago

A company has fixed operating costs of $2,137.00 per month with a production cost of $15.15 per unit. If each unit brings $33.09

vampirchik [111]

Y=2,137.00-(15.15*X)+(33.09*X)

Its simple arithmetic when you get down to it. The $2,137 won't change because it is the base rate per month, meaning even if they don't make any units they will still earn that much in the month. You subtract from that the cost to make a unit, in this case it is $15.15 per unit, so you multiply the cost by number of units to get the month's total costs. Then add the total month's profits by multiplying the number of units by the profits of one unit.

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3 years ago

PLEASE HELP!!! I HAVE A TEST!!!

dsp73

PLEASE HELP!!! I HAVE A TEST!!!
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3 years ago

Read 2 more answers

Can calculating area under curve expand to calculate volume of sphere

murzikaleks [220]

This is an application of integral calculus. The area under a curve could be expanded to determine the volume of a sphere if you revolve this area about a certain axis or a certain line. It should be given that the area is in the shape of either a half-circle or a quarter circle, so that it should form a sphere when revolved.

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3 years ago