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RoseWind [281]
3 years ago
6

if I'm in a plane flying at 512 miles per hour and a plane flies below me in the opposite direction, will it appear to fly slow

or fast
Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

It appears to fly faster than its actual speed.

Step-by-step explanation:

In general, if talking about velocities, the direction of the movement should also be taken into account. For example, if two objects move in opposite directions, a person inside one object observes that the other one moving in the opposite goes faster than its actual speed (because the velocities are summed up). If they are moving in the same direction the opposite phenomenon is true (the velocities are subtracted).

Finally, in this example the planes move in opposite direction, therefore, a plane flying in the opposite direction will appear to fly  faster.

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What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?
Akimi4 [234]
\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------

\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5
4 0
3 years ago
Read 2 more answers
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays eve
jonny [76]

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

6 0
3 years ago
Read 2 more answers
The triangles below are similar. Find x showing the proportion and all work.
zavuch27 [327]

we are given that

two triangles are similar

so, the  ratio of their sides must be same

we get

\frac{2}{6} =\frac{x}{x+2}

now, we can solve for x

step-1: Cross multiply both sides

2(x+2) =6x

step-2: Simplify left side

2x +4 =6x

step-3: Subtract both sides by 2x

2x +4-2x =6x-2x

4 =4x

step-4: Divide both sides by 4

x=1

so,

x=1............Answer

7 0
3 years ago
4
sdas [7]

Answer:

y = 1/3x + 10/3

Step-by-step explanation:

Slope: 1/3

Point (-4,2)

b = 2 - (1/3)(-4) = 10/3

3 0
3 years ago
Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
Vinvika [58]
Your answer is A, since there is a variable and two numbers, two numbers is the binomial part. Hope this helped!
4 0
3 years ago
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