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3 years ago

Consider the initial value problem:

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

a. y(t) = 0

Step-by-step explanation:

There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.

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Please help me!!!!!! I will give brainliest!!!!! Fast!!!!!7 students from a class of 10 are going to be chosen to be on the danc

Gre4nikov [31]

Answer:

5040

Step-by-step explanation:

7*6*5*4*3*2*1=5040

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2 years ago

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How to find Slope on a graph?

UNO [17]

Answer:

there are several ways to write, and find slope...see explanation

Step-by-step explanation:

Way 1: slope Intercept- y=mx+b

step 1: find where the line crosses the Y axis(the one running up and down...thats is your "b" so if the line crosses at -2...it would be this: y=mx-2

Step 2:from the point where the line crosses the Y axis, count how many up/down and Left/right to the next point..so if you go up 2 right 1, it would look like this y=2x-2

Up=positive

down=negative

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3 years ago

What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?

olganol [36]

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\$

$\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2} \right)$

and surely you know how much that is.

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3 years ago

2. Use the figure to find angle measures. In the figure, m ll n and x ll y.

xeze [42]

Answer:

See below ~

Step-by-step explanation:

A.

m∠5 = m∠10 (alternate angles)
m∠10 = 69°

B.

∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)
∠14 = 180° - 114°
∠14 = 66°

C.

∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)
∠12 = 86°

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2 years ago

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A number cube has sides numbered 1though 6 the probability of rolling a 2 is

sammy [17]

This is 1/2)2=1/4 hope this helps

7 0

4 years ago