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Anettt [7]
3 years ago
11

(Please only correct answers only)

Mathematics
2 answers:
Elena L [17]3 years ago
7 0
3.25x+14=30.35 is the equation
Simplify:
3.25x=16.35
x=5
Readme [11.4K]3 years ago
3 0
It's 5 ! hope it helps <3
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What is the value of f in the equation f+1/6=3/7
kari74 [83]
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The way I got it is because I took 1/6 minus 3/7 to get the answer of f=11/42
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2. Simplify:<br> b. 3(2x + 4y)
Nutka1998 [239]

Answer:

(6x+12y)

Step-by-step explanation:

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3 years ago
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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
How many triangles exist with the given angle measures? 55°, 45°, 90° ?
tankabanditka [31]
More than one triangle <span>exists with the given angle measures. So, this triangle is not equiangular, but has only 2 angles of equal measure.                                                                              

                                                      Hope
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                                                                        helped</span>
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3 years ago
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Kyla measured the weight of a bunch of bananas as 1,100 grams using the scale.
vitfil [10]
B, because thats 50 grams either direction of the given weight.
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