3 years ago

Choose the unknown value that makes this statement true:

Mathematics

1 answer:

viva [34]3 years ago

4 0

Answer:

D.300

Step-by-step explanation:

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Bike path A is 4 miles long. Bike path B is 7 miles long. If April biked a total of 37 miles, how many times did she bike each p

Sergeeva-Olga [200]

Bike path A will be a total of about 9.3 times, so 9, and bike path B will be about 5.3 times.

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4 years ago

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

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3 years ago

A man walked 6 km per hour how far does he work between 9:30 a.m. and 12 p.m.

kolbaska11 [484]

Answer:

15 km

Step-by-step explanation:

9:30 to 12:00 = 2.5 hours

2.5 x 6 = 15

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3 years ago

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Steve and Juan are reading the same book, and Juan is about 1/2 of the book ahead of Steve. Which of the following differences m

expeople1 [14]

Answer:

6/7-61/1

Step-by-step explanation:

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3 years ago

Need help plzzzzzzzzzzxx

densk [106]

9514 1404 393

Answer:

(a) 15/17

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the cosine relation:

Cos = Adjacent/Hypotenuse

cos(P) = PQ/PR

cos(P) = 15/17

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3 years ago