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3 years ago

Round to the nearest tenth 43

Mathematics

2 answers:

Verizon [17]3 years ago

8 0

40 rounded to the nearest tenth will be 40.

Hope this helped :)

bazaltina [42]3 years ago

4 0

40 because the three in the units place is smaller than 5 so you round down.

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Un club de natacion tieun club de natacion tiene 24 miembros de los cuales 5 don hombres y los demas don mujeres . ¿Cual es la r

mart [117]

Answer:

The ratio of number of woman to the total number is 19 : 24.

Step-by-step explanation:

Total number of members in the club = 24

Number of men = 5

Number of women = 24 - 5 = 19

The ratio of number of women to the total number of members is

= $\frac{19}{24}$

7 0

2 years ago

Find the maximum and minimum values attained by f(x, y, z) = 5xyz on the unit ball x2 + y2 + z2 ≤ 1.

Allushta [10]

Check for critical points within the unit ball by solving for when the first-order partial derivatives vanish:
$f_x=5yz=0\implies y=0\text{ or }z=0$
$f_y=5xz=0\implies x=0\text{ or }z=0$
$f_z=5xy=0\implies x=0\text{ or }y=0$

Taken together, we find that (0, 0, 0) appears to be the only critical point on $f$ within the ball. At this point, we have $f(0,0,0)=0$ .

Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian

$L(x,y,z,\lambda)=5xyz+\lambda(x^2+y^2+z^2-1)$

with partial derivatives (set to 0)

$L_x=5yz+2\lambda x=0$
$L_y=5xz+2\lambda y=0$
$L_z=5xy+2\lambda z=0$
$L_\lambda=x^2+y^2+z^2-1=0$

We then observe that

$xL_x+yL_y+zL_z=0\implies15xyz+2\lambda=0\implies\lambda=-\dfrac{15xyz}2$

So, ignoring the critical point we've already found at (0, 0, 0),

$5yz+2\left(-\dfrac{15xyz}2\right)x=0\implies5yz(1-3x^2)=0\implies x=\pm\dfrac1{\sqrt3}$
$5xz+2\left(-\dfrac{15xyz}2\right)y=0\implies5xz(1-3y^2)=0\implies y=\pm\dfrac1{\sqrt3}$
$5xy+2\left(-\dfrac{15xyz}2\right)z=0\implies5xy(1-3z^2)=0\implies z=\pm\dfrac1{\sqrt3}$

So ultimately, we have 9 critical points - 1 at the origin (0, 0, 0), and 8 at the various combinations of $\left(\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3}\right)$ , at which points we get a value of either of $\pm\dfrac5{\sqrt3}$ , with the maximum being the positive value and the minimum being the negative one.

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3 years ago

An association of art museums releases a study reporting that museums with restaurants have a greater number of annual visitors.

ICE Princess25 [194]

Answer:

Option B is the correct answer.

An association of art museums releases a study reporting that museums with restaurants have a greater number of annual visitors because---

B. There may be a correlation between having a restaurant and having a greater number of annual visitors.

Correlation can be defined as a relationship between two things. Here, the correlation is between the restaurants and the number of visitors. When they don't have restaurant, the number of visitors must have been low.

7 0

3 years ago

Six more than five times a number x is at least twenty one

LUCKY_DIMON [66]

5x3=15. 15+6=21. The answer would be 3

8 0

3 years ago

Find the value of n that makes ΔDEF ∼ΔXYZ when DE = 4, EF = 5, XY = 4(n+1), YZ = 7n - 1, and ∠E ≅∠Y. n =

dalvyx [7]

Answer:

Step-by-step explanation:

It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.