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3 years ago

Which graph has a slope of 4/5

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

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The price of a new car was £11 800

Angelina_Jolie [31]

Answer:

12 % reduction

Step-by-step explanation:

11800 - 10384 = 1416

1416 / 11800 = 0.12

0.12 × 100 = 12

3 0

2 years ago

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

In what quadrant is the point (-7, -16)?<br><br> Help!!!!!

svp [43]

Answer:

quadrant 3

Step-by-step explanation:

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2 years ago

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lapo4ka [179]

Step-by-step explanation:The quotient of a number and -7, decreased by 2, is 10. How do you find the number?

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3 years ago

Please help and explain please. would appreciate it!

Reptile [31]

Answer:

Step-by-step explanation:

A/4=72/12

A=4(72)/12

A=24 u^2

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2 years ago

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