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frutty [35]
3 years ago
7

Are those two figures similar? How do you know?

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0
No because they are unregular shape
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Finding the slope from points
nekit [7.7K]

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = \frac{y_1 - y_2}{x_1-x_2}

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 )  ⇒ ( x₂ , y₂ )

<u>Let us solve now.</u>

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

<u>m = -3 </u>

5 0
1 year ago
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Please answer both I'm really struggling with my homework
Alex Ar [27]
1/64 & 16
hope that helped :)
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3 years ago
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An electrician has a piece of wire that is 4 and 3/8 cm long.
krek1111 [17]
35/8 = 4.376 5/3 = 1.666… 4.376/1.666…
Therefore 2.625 pieces
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2 years ago
What is the definition of function?
o-na [289]

Answer:

a relationship or expression involving one or more variables

7 0
3 years ago
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The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t),
pishuonlain [190]

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}

(Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}

When t=0, S(t)=15

15=30+Ce^{-k*0}\\C=15-30\\C=-15

When t = 2, S(t)=20

20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}

Therefore:

S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22

8 0
3 years ago
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