2(t + 5) > 4t - 7(t + 3)
2t + 10 > 4t - 7t - 21
2t + 10 > -3t - 21
2t + 3t > -21 - 10
5t > -31
t > -31/5
Lets say that there are 9 people in ur restaurant. You are serving pancakes and u have made 27 pancakes and u have no more pancake batter. How many pancakes will each person get ?
9x = 27
x = 27/9
x = 3...so each person will get 3 pancakes.
Answer: The probability that exactly 2 insects will survive = 0.2501
Step-by-step explanation:
Given: A certain insecticide kills 80% of all insects in laboratory experiments.
The probability that a particular insect survives= 1-0.80=0.20
Sample size: n=14
Binomial probability distribution:
, where x= number of successes , p=probability of success in each trial, n= sample size.
The probability that exactly 2 insects will survive = 

Hence, the probability that exactly 2 insects will survive = 0.2501
<span>For the
presented problem, the solution would be</span><span> </span><span>v</span><span>(0)=0</span><span>v(0)=0</span><span> is</span><span>v</span><span>(</span><span>t</span><span>)−</span><span>mgb</span><span>=</span><span>e</span><span>−</span><span>b</span><span>/</span><span>m</span><span>⋅</span><span>t</span><span>(</span><span>v</span><span>0</span><span>−</span><span>mgb</span><span>)</span><span>⟺</span><span>v</span><span>(</span><span>t</span><span>)=</span><span>mgb</span><span>(</span><span>1−</span><span>e</span><span>−</span><span>b</span><span>/</span><span>m</span><span>⋅</span><span>t</span><span>)</span><span>≈</span><span>g</span><span>⋅</span><span>t</span><span>−</span><span>gb</span><span>2</span><span>m</span><span>⋅</span><span>t</span><span>2</span><span>,
with the following given, </span><span>
m</span><span>=180[lb]=81.6[kg]</span><span> </span>
<span>g</span><span>=9.81[m/s</span><span>2</span><span>]</span><span />
<span>b</span><span>=0.75[kg</span><span>⋅</span><span>m/s</span><span>2</span><span>⋅</span><span>s/ft]=0.2286[kg/s]</span><span />
<span>The solution that the
friction provides is </span><span>v</span><span>(</span><span>t</span><span>)=3501.7[m/s]</span><span>⋅</span><span>(</span><span>1−</span><span>e</span><span>−0.00280[1/s]</span><span>⋅</span><span>t</span><span>), where I get </span><span><span>96.69</span></span><span /><span><span><span><span>[</span></span><span /><span><span>m</span></span><span /><span><span><span><span>/</span></span></span></span></span><span><span><span>s</span></span><span /><span><span>]</span></span></span><span>=</span></span><span /><span><span>317.2</span></span><span /><span><span><span><span>[</span></span><span /><span><span>f</span><span>t</span></span><span /><span><span><span><span>/</span></span></span></span></span><span><span><span>s</span></span><span /><span><span>]</span></span></span></span><span><span /></span><span>. I
am hoping that this answer has satisfied your query about this specific
question.<span /></span>
<em><u>QUESTION</u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em><em><u>></u></em><em><u> </u></em><em><u>FIND </u></em><em><u>THE </u></em><em><u>ARE </u></em><em><u>OF </u></em><em><u>THE </u></em><em><u>TRIANGLE </u></em><em><u>WITH </u></em><em><u>THE </u></em><em><u>FOLLOWING </u></em><em><u>COORDINATES.</u></em>
<em><u>A.</u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>5</u></em><em><u>,</u></em><em><u>9</u></em><em><u>)</u></em>
<em><u>B </u></em><em><u>.</u></em><em><u> </u></em><em><u>(</u></em><em><u>1</u></em><em><u>,</u></em><em><u>-</u></em><em><u>7</u></em><em><u>)</u></em>
<em><u>C </u></em><em><u>.</u></em><em><u> </u></em><em><u>(</u></em><em><u>8</u></em><em><u>,</u></em><em><u>4</u></em><em><u>)</u></em>
<em><u>ANSWER </u></em><em><u>:</u></em><em><u>></u></em><em><u> </u></em><em><u>A.</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>5</u></em><em><u>,</u></em><em><u>9</u></em><em><u>)</u></em><em><u>. </u></em><em><u> </u></em><em><u> </u></em>
<em><u>HOPE </u></em><em><u>IT </u></em><em><u>HELPS</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>THANK </u></em><em><u>ME </u></em><em><u>LATER</u></em><em><u>. </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>
<h2>
<em><u>#</u></em><em><u>C</u></em><em><u>A</u></em><em><u>R</u></em><em><u>Y</u></em><em><u> </u></em><em><u> </u></em><em><u>ON </u></em><em><u>LEARNING </u></em></h2>