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4 years ago

Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...

Mathematics

2 answers:

____ [38]4 years ago

8 0

45 jdkdodididiixidiixixixix

MA_775_DIABLO [31]4 years ago

3 0

4 is the answer because you add all the number s together

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A firework is fired into the air from the top of a barn. Tis hight (h) above the ground in yards after (t) seconds is given by t

Grace [21]

The given function for the height of the firework is a quadratic function

1. Time at which the firework reaches the maximum height is 1 seconds

2. The maximum height of the firework, is 25 yards

3. Time after which the firework will fall to the ground is (1 + √5) seconds

Reason:

The given function that represents the height of the fireworks with time is

presented as follows;

h(t) = -5·t² + 10·t + 20

1. The time at which the firework reaches its maximum height is given by

the maximum point of the given function as follows;

The x-value of the maximum point of a quadratic function is $x = \dfrac{b}{2 \cdot a}$

Where;

a, and b, are the coefficient of x² and x, in the general form of a quadratic function f(x) = a·x² + b·x + c

By comparison, we have;

$t = -\dfrac{10}{2 \times (-5)} = 1$

The time at which the firework reaches the maximum height is t = 1 seconds

2. The maximum height is given by plugging in the value of t, at the maximum point into the given function as follows;

h(1) = -5×1² + 10×1 + 20 = 25

The maximum height of the firework, f(1) = 25 yards

3 The time at which the firework will fall to the ground, is given by the zero of the function as follows;

When the firework falls to the ground, h(t) = 0 = -5·t² + 10·t + 20

Dividing both sides by (-5) gives;

$\dfrac{0}{-5} = \dfrac{ -5 \cdot t^2 + 10 \cdot t + 20}{-5} = t^2 - 2 \cdot t - 4$

t² - 2·t - 4 = 0

By the quadratic formula $x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ , we get;

$t = \dfrac{2\pm \sqrt{(-2)^{2}-4\times 1\times (-4)}}{2\times 1} = \dfrac{2\pm \sqrt{20}}{2\times 1} = \dfrac{2\pm 2 \times \sqrt{5}}{2\times 1} = 1 \pm \sqrt{5}$

Therefore;

The time after which the firework will fall to the ground, t = 1 + √5 seconds

Learn more here:

brainly.com/question/20628403

3 0

3 years ago

Helppp it's timed

fomenos

Answer:

Step-by-step explanation:

h(x)=f(x)g(x) means multiply the expression for f to the expression for g.

That is the problem is just asking you to do (11x-5)(-2x-4).

Let's use foil.

First: 11x(-2x)=-22x^2

Outer: 11x(-4)=-44x

Inner: -5(-2x)=10x

Last: -5(-4)=20

------------------------Add together!

-22x^2-34x+20

6 0

3 years ago

(Please help) What is the rate of change of y with respect to x?

dolphi86 [110]

answer will be 2÷18=9

and the answer is 9

please mark this answer as brainlist

7 0

3 years ago

Solve and graph the absolute value inequality: |2x + 4| > 14.

katrin2010 [14]

Hi Malik.
2x+4>14 or -(2x+4)>14
solve each inequality individually
you get
x>5 or x<-9

3 0

4 years ago

A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee an

PolarNik [594]

Y = 250 + 100x....the slope is 100

it represents the per second fee of air time...basically, it costs $ 100 per second for the commercial....wow...100 bucks per second....that radio station is making some money.

5 0

4 years ago