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dlinn [17]
3 years ago
7

A parachutists speed during a free fall reached 99 miles per hour. What is this speed in feet per second? At this speed, how man

y feet will the parachutist fall during 15 seconds of free fall? In your computations, use the fact that 1 mild is equal to 5280 feet.
Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
22,275 i am not sure
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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
Will mark brainliest Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.
Aleks [24]
The surface area of the cylinder is A≈2111.15in²
6 0
2 years ago
The sum of three consecutive even numbers is 24 , find the numbers.
Sergeeva-Olga [200]

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

8 0
3 years ago
Read 2 more answers
Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell
Tatiana [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Using the formula

The probability of getting odd number disk=\frac{4}{8}=\frac{1}{2}

The probability of getting odd numbered  red disk=\frac{3}{8}

The probability of selecting a red disk,given that an odd numbered disk is selected=\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}

Using conditional probability

P(A/B)=\frac{P(A\cap B)}{P(B)}

6 0
3 years ago
The lunch lady has 12 pounds of lasagna left over.
bogdanovich [222]

Answer:

12

Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]

5 0
2 years ago
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