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3 years ago

The perimeter of a square is 32 cm find the side of the square.

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

4 0

Answer:

64 $cm^{2}$

Step-by-step explanation:

Perimeter of a square: 4s = 32

s = 8

Area of a square: s * s = 64

Lisa [10]3 years ago

4 0

P = 32 cm = 4L => L = 32cm : 4 = 8 cm

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He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was

Allushta [10]

Answer:

$115 = 15 x + 40$

the charge is $5 dollars per mile

Step-by-step explanation:

He truck is rented at $40 per day plus they charge per mile of use the truck travel 15 miles in one day and the total charge was 115

LEt x be the charge in dollars per hour

Initial charge is 40 and 15 miles travelled in one day

total charge = 15x + 40

Given : total charge is 115

So the equation becomes

$115 = 15 x + 40$

Now we solve for x

Subtract 40 from both sides

$75= 15 x$

Divide both sides by 15

x= 5

so , the charge is $5 dollars per mile

7 0

3 years ago

Read 2 more answers

Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |

dsp73

Looks like $f(x,y)=x^2+y^2-x^2y+7$ .

$f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1$

$f_y=2y-x^2=0\implies2y=x^2$

If $x=0$ , then $y=0$ - critical point at (0, 0).
If $y=1$ , then $x=\pm\sqrt2$ - two critical points at $(-\sqrt2,1)$ and $(\sqrt2,1)$

The latter two critical points occur outside of $D$ since $|\pm\sqrt2|>1$ so we ignore those points.

The Hessian matrix for this function is

$H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}$

The value of its determinant at (0, 0) is $\det H(0,0)=4>0$ , which means a minimum occurs at the point, and we have $f(0,0)=7$ .

Now consider each boundary:

If $x=1$ , then

$f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4$

which has 3 extreme values over the interval $-1\le y\le1$ of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

If $x=-1$ , then

$f(-1,y)=8-y+y^2$

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

If $y=1$ , then

$f(x,1)=8$

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

If $y=-1$ , then

$f(x,-1)=2x^2+8$

which has 3 extreme values, but the previous cases already include them.

Hence $f(x,y)$ has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

3 0

3 years ago

Please help

pychu [463]

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:

(1, 0): 1² - 1 = 0

(2, 3): 2² - 1 = 4 - 1 = 3

(3, 8): 3² - 1 = 9 - 1 = 8

(4, 15): 4² - 1 = 16 - 1 = 15

So for any x:

(x, y) y = x² - 1

6 0

3 years ago

Rob notices that 55 percent of the people leaving the supermarket chhose plastic bags instead of paper bags. out of 600 people,

Temka [501]

To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.

So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.

4 0

3 years ago

When Nabhitha goes bowling, her scores are normally distributed with a mean of 115

frutty [35]

Answer:

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

7 0

1 year ago