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3 years ago

Jim has $8 to spend on pizza. The slice is $4 and each

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

Answer:

0.50x +4 ≤ 8

Step-by-step explanation:

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Find sinx given cos2x=5/9

Diano4ka-milaya [45]

Answer:

sinx = √2/3

Step-by-step explanation:

cos2x = 1-2sin²x

5/9 = 1-2sin²x

2sin²x =1-5/9

2sin²x = 4/9

sin²x = (4/9)/2

sin²x = (4/9)*(1/2)

sin²x = 2/9

sinx = √2/3

8 0

3 years ago

Choose all that define a rectangle in the coordinate plane by the four given points.

inysia [295]

Answer:

The answer is A(-3,-4) B(-1,2) C(2,1) D(0,-5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

WINSTONCH [101]

So all you need to do if find the min of the function:

f(x)=0.04x^3-4x^2-176x
f'(x)=0.12x^2-8x-176
The only zero for this is x=84.105 <---first
Plug this into f(x) to get f(84.105)=-19300 <---second

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3 years ago

The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

3 years ago

Emma kept track of the number of puzzles solved during the past 10 days. She realized that she didn't solve any puzzles in the l

AveGali [126]

I think the answer is 13

6 0

3 years ago