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3 years ago

Use the explicit formula an = a + (n-1). d to find the 500th term of the

Mathematics

1 answer:

nadezda [96]3 years ago

8 0

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

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A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If 40% of the b

Zolol [24]

<h3>Answer: 0.8704</h3>

Explanation:

40% of the bulbs are pink, 60% are red

the probability of picking pink is 0.40 and the probability of not picking pink is 0.60

The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296

The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704

0.8704 converts to 87.04%

5 0

3 years ago

100 POINTS IF U GET THIS RIGHT!

JulsSmile [24]

Answer:

9.2 m.

Step-by-step explanation:

6.2 m.

7.2 m.

8.2 m.

9.2 m.

4 0

2 years ago

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Citrus2011 [14]

Answer:

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im a math god

Step-by-step explanation:

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3 years ago

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In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

6 0

1 year ago

Which equation represent the nth term of the arithmetic sequence?

ICE Princess25 [194]

Answer:

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: $a_n =a_1+d(n-1)$

d = 9 - 4 = 5

a₁ = -6

Therefore:

$a_n =-6+5(n-1)\\\\a_n =-6+5n-5\\\\a_n =5n-11$

5 0

3 years ago