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10 months ago

Divide $800 between kofi and kweku so that kofi gets three times what kweku gets

Mathematics

1 answer:

AfilCa [17]10 months ago

6 0

Answer:

600 and 200

Step-by-step explanation:

kofi : kweku is 3 :1

so Kofi gets 3 out of ( 3 +1) = 3/4 of 800 = 3/4 * 800 = 600

kweku get s the rest 800- 600 = 200

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

balu736 [363]

The tangent line to the curve can be determined by implicitly differentiating the equation of the curve. In this case, with the equation y sin 12x = x cos 2y, (π/2, π/4), the implicit differentiation is 12 y cos 12x dx + sin 12 x dy = -2x sin 2y dy + cos 2y dx; dx (12 y cos 12x - cos 2y) = dy (-2x sin 2y - sin 12x). Hence

y' = (12 y cos 12x - cos 2y) / (-2x sin 2y - sin 12x)

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3 years ago

Meghan's home is on the same straight road as the library and sporting goods store. Meghan marks the location of the library and

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Answer:

Step-by-step explanation:

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2 years ago

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The sum of 6 consecutive integers is 204

dolphi86 [110]

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Then:

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n=2046=34

So the six odd numbers are:

29,31,33,35,37,39

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3 years ago

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X+4y=11 and 2x+2y=-8 solve by elimination

Sliva [168]

Multiply the first equation by -2,and multiply the second equation by 1.−2(x+4y=11)1(2x+2y=−8)Becomes:−2x−8y=−222x+2y=−8Add these equations to eliminate x:−6y=−30Then solve−6y=−30for y:−6y−6=−30−6(Divide both sides by -6)y=5Now that we've found y let's plug it back in to solve for x.Write down an original equation:x+4y=11Substitute5foryinx+4y=11:x+(4)(5)=11x+20=11(Simplify both sides of the equation)x+20+−20=11+−20(Add -20 to both sides)x=−9Answer:x=−9 and y=5

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2 years ago

The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bact

notsponge [240]

Answer:

339

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Given information:

a = 240 (initial population of bacteria)
x = time (in hours)
y = population of bacteria

Therefore: $y=240b^x$

To find an expression for the population after 1 hour, substitute x = 1 into the found equation:

$\implies y=240b^1$

$\implies y=240b$

We are told that the population after 9 hours is double the population after 1 hour. Therefore, make y equal to twice the found expression for the population after 1 hour, let x = 9, then solve for b:

$\implies 2(240b)=240b^9$