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3 years ago

The temperature at noon was -17 degrees at 6 pm the temperature was -14 degrees. What was the change in temperature degrees?

Mathematics

1 answer:

irina [24]3 years ago

5 0

Answer: the change in tempature was -3 degrees

Step-by-step explanation: hope this helps

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How to slove 7 - w = 2.2

vova2212 [387]

Subtract 2.2 from 7 and that will be equal to w

7 0

3 years ago

Read 2 more answers

A particle in the first quadrant is moving along a path described by the equation LaTeX: x^2+xy+2y^2=16x 2 + x y + 2 y 2 = 16 su

ElenaW [278]

Answer:

$\frac{50}{3}$ cm/sec.

Step-by-step explanation:

We have been given that a particle in the first quadrant is moving along a path described by the equation $x^2+xy+2y^2=16$ such that at the moment its x-coordinate is 2, its y-coordinate is decreasing at a rate of 10 cm/sec. We are asked to find the rate at which x-coordinate is changing at that time.

First of all, we will find the y value, when $x =2$ by substituting $x =2$ in our given equation.

$2^2+2y+2y^2=16$

$4-16+2y+2y^2=16-16$

$2y^2+2y-12=0$

$y^2+y-6=0$

$y^2+3y-2y-6=0$

$(y+3)(y-2)=0$

$(y+3)=0,(y-2)=0$

$y=-3,y=2$

Since the particle is moving in the 1st quadrant, so the value of y will be positive that is $y=2$ .

Now, we will find the derivative of our given equation.

$2x\cdot x'+x'y+xy'+4y\cdot y'=0$

We have been given that $y=2$ , $x =2$ and $y'=-10$ .

$2(2)\cdot x'+(2)x'+2(-10)+4(2)\cdot (-10)=0$

$4\cdot x'+2x'-20-80=0$

$6x'-100=0$

$6x'-100+100=0+100$

$6x'=100$

$\frac{6x'}{6}=\frac{100}{6}$

$x'=\frac{50}{3}$

Therefore, the x-coordinate is increasing at a rate of $\frac{50}{3}$ cm/sec.

7 0

3 years ago

You have 5 55 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 33 fly your sleigh. You always ha

sweet-ann [11.9K]

Answer:

60 different ways.

Step-by-step explanation:

We have been given that you have 5 reindeer, Bloopin, Rudy, Ezekiel, Prancer, and Balthazar, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. We are asked to find the number of ways in which we can arrange reindeer.

We will use permutations to solve our given problem.

The number of way to choose r objects from a set of n objects is $^nP_r=\frac{n!}{(n-r)!}$ .