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2 years ago

Evaluate the geometric series below. Please show your work.

Mathematics

1 answer:

lesya692 [45]2 years ago

4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

$\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715$

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Find the angle between 0° and 360° that is coterminal with a 443° angle.

Yakvenalex [24]

Answer:

If you rotate an angle 360 degrees around, your final angle will be facing the same direction

Thus, the coterminal angle is $443^\circ-360^\circ=83^\circ$

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2 years ago

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Reptile [31]

Answer:

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Step-by-step explanation:

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3 years ago

cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu

IRISSAK [1]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.

The probability of getting tails on a coin toss is: $\frac{1}{2}$

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: $\frac{1}{3}$

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

$\frac{1}{2}$ * $\frac{1}{3}$ = $\frac{1}{6}$

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3 years ago

A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l

Y_Kistochka [10]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

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3 years ago

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Dmitry [639]

Answer:

The way to copy a text is you first move your mouse over the text in-tell it turns blue then press control hit c then put your little mouse text thing where you want to copy the text click hit control hit v then your are done

Hope This Helps!!!

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2 years ago