What is more accurate, mean or average? Explain why.

Why are the solutions to the proportions 50/x =10/20 and 10/50=20/x the same

ratelena [41]

With cross multiplication you can find that they are the same. In both equations, x would be 100.

5 0

3 years ago

Read 2 more answers

Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

harkovskaia [24]

$y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\
y''(0)=20\cdot0^3=0$

The value of the second derivative for $x=0$ is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of $5x^4$ is always positive for $x\in\mathbb{R}\setminus \{0\}$ . That means at $x=0$ there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval $[-2,1]$ .
The function $y$ is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

$y_{max}=y(1)=1^5-3=-2$

4 0

3 years ago

Let me know if you can answer these :)

Olegator [25]

Answer:

10. 285

11. $6\frac{3}{4}$

16.a. Stiles Family

<u>Reason</u>-The Styles family uses twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces $\frac{114 *15}{6}\\=285$

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11. To make 8 jumbo muffins take, amount of baking powder used = $1\frac{1}{2} =\frac{3}{2}$

To make 1 jumbo muffin, amount of baking powder used = $\frac{3}{2} / 8$ =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used = 36 *3/16

$=\frac{27}{4}$ = $6\frac{3}{4}$

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16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

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16.b. Water consumed by 1 person in the Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

5 0

3 years ago

A young sumo wrestler decided to go on a diet to gain weight rapidly. He gained weight at a rate of 5.5kg a month. After 11 mont

kondaur [170]

Answer:

$W(t)=5.5t+79.5$ .

Step-by-step explanation:

Please consider the complete question.

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).

Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.

Now, we will use point-slope form of equation as:

$y-y_1=m(x-x_1)$ , where,

m = Slope

$(x_1,y_1)$ = Given point on the line.

Upon substituting coordinates of point (11,140) in above formula, we will get:

$y-140=5.5(x-11)$

$y-140=5.5x-60.5$

$y-140+140=5.5x-60.5+140$

$y=5.5x+79.5$

Therefore, our required function would be $W(t)=5.5t+79.5$ .

3 0

3 years ago

3. Which relation is a function?

Pani-rosa [81]

Answer:

B

Step-by-step explanation:

Recall that functions are defined only if for each value in the domain produces one and only one value in the range.

If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value

Lets evaluate the options:

A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)

D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)

the only choice where this doesn't occur is choice B

6 0

3 years ago