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Mathematics

2 answers:

Alex3 years ago

8 0

The answer is 26 because I said so I took this 5 years ago I’m in college now

Cerrena [4.2K]3 years ago

6 0

Answer is 26 most likely

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A bike rider is traveling at a speed of 15 feet per second. Write an expression for the distance the rider has traveled after s

bija089 [108]

distance = speed x time

distance time

45 ft 3.0 s

87 ft 5.8 s

166.5 ft 11.1 s

210 ft 14.0 s

4 0

3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

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3 years ago

Emilia solved this inequality as shown:

xxTIMURxx [149]

Answer:

Subtractionproperty of inequality.

Step-by-step explanation:

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3 years ago

the triplex theater has 3 different movies tonight: bucket of fun, bozo the great, and pickle man. each movie has an early and l

serious [3.7K]

Bucket of fun. bozo the great. pickleman
/ \ / \ / \
day night day night day. night

theres three movie choices

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3 years ago

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

konstantin123 [22]

Try this solution:
1. according to the condition
$\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \ \ x \geq 0.$
2. for more details see the attached graph.

Answer: [0;+oo)

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3 years ago