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GREYUIT [131]
3 years ago
13

A train is accelerating at a rate of 2.0 km/hr squared. If it’s initial velocity is 20 km/hr, what is its velocity after 30 seco

nds?
Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer: 30

Step-by-step explanation:

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Cot y, if csc y =-10/3 and cos y< 0
fredd [130]
\csc y=-\dfrac{10}3\implies\sin y=-\dfrac3{10}

\cos^2y=1-\sin^2y\implies \cos y=\pm\sqrt{1-\dfrac9{100}}=\pm\dfrac{\sqrt{91}}{10}

You're told that \cos y, so omit the positive root.

\cot y=\dfrac{\cos y}{\sin y}=\dfrac{-\frac{\sqrt{91}}{10}}{-\frac3{10}}=\dfrac{\sqrt{91}}3
7 0
3 years ago
Which linear equations does the graph show the solution to? Select all that apply. y = 2x + 13 y = –x – 2 y = 3x – 5 y = negativ
salantis [7]

Answer:

y = 2x + 13

y = –x – 2

Step-by-step explanation:

The options are:

y = 2x + 13

y = -x - 2

y = 3x - 5

y= -(1/2)x + 6

y = -2x - 2

The graph is shown in the figure attached. There, point (-5, 3) is shown. Replacing it into the equations we get:

y = 2(-5) + 13  = 3    (so, it is a solution)

y = -(-5) - 2 = 3     (so, it is a solution)

y = 3(-5) - 5  = -20 ≠ 3   (so, it isn't a solution)

y= -(1/2)(-5) + 6  = 8.5 ≠ 3     (so, it isn't a solution)

y = -2(-5) - 2 = 8 ≠ 3     (so, it isn't a solution)

6 0
3 years ago
Read 2 more answers
Solve x - 3 < -1. Graph the solution.
LuckyWell [14K]

Answer: x < 2

Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.

Since 3 is being subtracted from <em>x</em>, we add 3

to both sides of the inequality to get <em>x < 2</em>.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

3 0
3 years ago
Evaluate the integral:<br> dx / e^(pie*x) from 2 (upper bound) to 0.
kenny6666 [7]
Substitution:
u = - π x
d u = - π d x
d x = - d u / π 
----------------------
-1/ \pi  \int\limits^2_0 {e ^{u} } \, du =- \frac{e ^{- \pi x} }{ \pi } = \\ -1/ \pi (e ^{-2 \pi } -1) = \\ = \frac{1}{ \pi } - \frac{1}{ \pi e ^{2 \pi } }
7 0
3 years ago
How do you solve -3(4x+3)+4(6x+1)=43 ?
Anastaziya [24]

Answer:

x = 4

Step-by-step explanation:

Solution:

-3(4x + 3) + 4(6x + 1) = 43

-12x - 9 + 24x + 4 = 43

12x - 5 = 43

12x = 43 + 5

12x = 48

x = 48 / 12

Therefore, x = 4

PLEASE MARK ME AS BRAINLIEST!!!

4 0
3 years ago
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