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2 years ago

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Mathematics

1 answer:

Rudiy272 years ago

3 0

Answer:

20% i am not 100% sure. if i am wrong, i am sorry

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Find the area of the rectangle below multiplying its length and width (5x-4)(2x-5)

Serhud [2]

Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:

(5x - 4)(2x - 5)

(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)

10x² - 25x - 8x + 20

10x² - 33x + 20

The area of the rectangle should be 10x² - 33x + 20.

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3 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

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

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2 years ago

The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. What is the scale for the blueprint?

malfutka [58]

Answer:

Step-by-step explanation:

The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. This means that every 1 inch on the blue print represents 3 yards on the actual building. The scale is the ratio of the length of a side on the blueprint to the length of a corresponding side on the actual. Therefore, the scale for the blueprint is 3: 1

Therefore, the scale factor is 3

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3 years ago

Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x

Mekhanik [1.2K]

Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x
b 5x + 14 - 4x = 23 + x-9 c
c X + 9 -0.8x = 5.2x + 17-8
d 4x-2x = 20

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3 years ago

How many times does 4 go in 64

Afina-wow [57]

Answer:

Step-by-step explanation:

4 goes into 64 sixteen times. 64/4 = 16 16 x 4 = 64

7 0

3 years ago

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