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2 years ago

Which of the following is equivalent to x+1/y divided by g+1/h

Mathematics

1 answer:

Vikki [24]2 years ago

3 0

Answer:

B) x + 1/y times h/g+1

Step-by-step explanation:

We need to divide $\frac{x+1}{y}$ by $\frac{g+1}{h}$ then match with given choices to find the correct equivalent result.

where given choices are:

A) x/y times h/g

B) x + 1/y times h/g+1

C) x+ 1/y divided h/g+1

D) y/x+1 divided g+1/h

So let's divide $\frac{x+1}{y}$ by $\frac{g+1}{h}$

$\frac{\left(\frac{x+1}{y}\right)}{\left(\frac{g+1}{h}\right)}$

we are allowed to flip the bottom fraction and change division sign into multiplication. So we get:

$=\left(\frac{x+1}{y}\right)\cdot\left(\frac{h}{g+1}\right)$

Hence correct choice is: B) x + 1/y times h/g+1

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You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take

Ghella [55]

Answer:2

Step-by-step explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

$x+y\geq 10\ldots 1$

Time require for x Physics problem $=20 x$

Time require for y Math problem $=10 y$

so,

$20 x+10 y\leq 120\ldots 2$

On solving (1) and (2)

we get $x=2$ and $y=8$

Maximum no of Physics question which can be solved is 2

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2 years ago

What is the y-intercept of the line?

sp2606 [1]

The answer is 1 because that's the point on the graph where x meets 0, or (0, 1)

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2 years ago

Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur

son4ous [18]

Answer:

the g's contributing term for the overall uncertainty of P is $dP_g = [\frac{dg}{g}]$

Step-by-step explanation:

From the question we are told that

The pressure is $P = P_o + \rho gh$

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

$ln P = lnP_o + ln(\rho gh )$

=> $ln P = lnP_o + ln \rho + ln g + ln h$

Then the next step is to differentiate both sides of the equation

$\frac{d(ln P)}{dP} = \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}$

=> $\frac{dP}{P} = \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}$

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

$dP_g = [\frac{dg}{g}] P$

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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

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

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2 years ago

In triangle ABC below, which trigonometric ratio equals 3/2?

Vlada [557]

The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.

The angle B has tangent, tan (B) = 2 / 3

The angle C, has tangent, tan (C) = 3 / 2

Then, the answer is option C, tan C

5 0

3 years ago

Read 2 more answers