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3 years ago

Which relationship is not a function 10 POINTS

Mathematics

1 answer:

Lorico [155]3 years ago

4 0

Answer:

top left

Step-by-step explanation:

take a vertical line and place it on the graph. Then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once. ( it only crossed once)

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FIND THE AREA OF THE SECTOR 15 points

ale4655 [162]

Answer:

2.1 m²

Step-by-step explanation:

Area of Sector

πr² x α/360°
3.14 x 8 x 30/360
25.12 x 1/12
2.09333333
2.1 m² (nearest tenth)

4 0

2 years ago

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

$\frac{dy}{dt}\ \alpha\ y(1-y)$

$\frac{dy}{dt}=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

$\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\$

$y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}$

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

$y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days$

5 0

3 years ago

Pls help! evaluate the function for x=3a.

Musya8 [376]

The answer is choice C .

5 0

3 years ago

One teacher wants to give each student 7 over 9 of a slice of pizza. If the teacher has 7 slices of pizza, then how many student

Anna007 [38]

Total = 7 slices.
1student = 7/9 of a slice.

Total number of students:

$7 \div \dfrac{7}{9}$

$= 7 \times \dfrac{9}{7}$

$= 9$

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Answer: She will be able to hand out to 9 students.
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3 0

3 years ago

The price of a candy bar is $1.53. If this is three cents more than triple the price ten years ago, how much did the candy bar c

Tamiku [17]

Answer:

$0.51

Step-by-step explanation:

Hello! Using what we know, the price of the candy bar at the moment is $1.53, triple the price from 10 years ago. So, triple cents would technically be $0.03. We divide $1.53 and $0.03 and get 51! But, it would not make sense for the price ten years ago to be 51 then go to 1.53, so we make 51 a decimal, 0.51. We can check to see if this correct, by doing 0.51 times 3, because the price is tripling, and we get $1.53! Have an awesome day! :)

6 0

3 years ago