I need some help with the part circled in red, please. John is riding a bike along a straight path.

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

100/3 meters per min

Step-by-step explanation:

Im kinda unsure about this one.

It took 3 minutes for John to travel 200m and Sam to travel 300m.

You have time and distance so you can use that to find velocity.

John: 200/3 m/min

Sam: 300/3 m/min

take the difference between the two to get your answer.

|200/3 - 300/3| = 100/3 m/min

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Calculate, to four decimal places, the first ten terms of the sequence. an = 1 +(−4/9)^n

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<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

$a_n=1 + (-\frac{4}{9} )^n\\\\When\ n=1:a_1=1 + (-\frac{4}{9} )^1=0.5556\\\\When\ n=2:a_2=1 + (-\frac{4}{9} )^2=1.1975\\\\When\ n=3:a_3=1 + (-\frac{4}{9} )^3=0.9122\\\\When\ n=4:a_4=1 + (-\frac{4}{9} )^4=1.039\\\\When\ n=5:a_5=1 + (-\frac{4}{9} )^5=0.9827\\\\When\ n=6:a_6=1 + (-\frac{4}{9} )^6=1.0077\\\\When\ n=7:a_7=1 + (-\frac{4}{9} )^7=0.9966\\\\When\ n=8:a_8=1 + (-\frac{4}{9} )^8=1.0015\\\\When\ n=9:a_9=1 + (-\frac{4}{9} )^9=0.9993\\\\$

$When\ n=10:a_{10}=1 + (-\frac{4}{9} )^{10}=1.0003\\$

The first ten terms of the sequence $a_n=1 + (-\frac{4}{9} )^n$ is<em> 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003</em>

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2 years ago

Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6

posledela

9514 1404 393

Answer:

Step-by-step explanation:

The function is defined everywhere except at x=-6. The limit value is the function value at that point.

f(6) = (6^2 -36)/(6 +6) = 0/12 = 0

The limit of the function is 0 as x → 6.