3 years ago

Jack rides his bicycle 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours?

Mathematics

1 answer:

Tpy6a [65]3 years ago

8 0

Answer:

Step-by-step explanation:

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How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Fantom [35]

9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}$

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3 years ago

(5x + 2)<br> 72°<br> I need help pls fast asap

Misha Larkins [42]

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2 years ago

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The complex number _______ lies in the shaded area of the graph. The complex number _______ does not lie in the shaded area.

Anastaziya [24]

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

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3 years ago

Can u solve these 4 me?

Ber [7]

So for this:

(-1/3+-0.3/3+1) ^2

(-1/3-0.1+1)^2

(1-1.3/3)^2

(1-0.433333)^2

0.566667^2

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0.32

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3 years ago

Prediction: It rains 2 out of the last 12 days in March. If this trend continues, how many rainy days would you expect in April?

Vladimir79 [104]

Answer:

I would expect rain 5 days

Step-by-step explanation:

Please kindly see the attached files for explanation.

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3 years ago