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3 years ago

4.2 m = _____ ft? Help meeeeee

Mathematics

2 answers:

Harman [31]3 years ago

3 0

4.2 m is approx. 13.8 ft!

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nalin [4]3 years ago

3 0

Answer:

13.78 feet

Step-by-step explanation:

there are a little over 3 feet in one meter, and when you multiply 4.2 times the amount of feet in a meter, you get 13.7795 feet, approximate to 13.78 feet when rounded

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The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?

Alex_Xolod [135]

Answer:

1.8 inches

Step-by-step explanation:

Create a proportion where x is the distance on the map

$\frac{1}{55}$ = $\frac{x}{99\\}$

Cross multiply and solve for x

55x = 99

x = 1.8

So, the distance on the map is 1.8 inches

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I'm thinking its 4 to the 12 power but I am not completely sure on this

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State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

Explicit Formula

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

Explicit Formula:

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

Recursive Formula

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

$h(n)=1.1+0.4(n-1)\\$

Recursive Formula

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

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560/4 = 140

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Answer:Its B

Step-by-step explanation:

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