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2 years ago

10

6 Bridesmaids want to make 330 decorations for a wedding. Each

1 answer:

Alex_Xolod [135]2 years ago

5 0

Answer:

about 3.21 hours each

Step-by-step explanation:

First divide 330 by 6 since there are six people.

Every person needs to do 55 decorations.

I would take the average of 2-4 minutes and multiply it by 55.

55 x 3.5 = 192.5 minutes

to convert to hours divide by 60.

192.5 / 60 = 3.21

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A six-sided die is rolled.

insens350 [35]

Answer:

a.) 1/3

Step-by-step explanation:

1/6 is a 2 is rolled

1/6 if a 4 is rolled

so 2/6 if either are rolled

which simplifies to 1/3

8 0

2 years ago

Read 2 more answers

Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i

sp2606 [1]

i. The Lagrangian is

$L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)$

with critical points whenever

$L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4$

$L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1$

$L_\lambda=4x^2+y^2-9=0$

If $x=0$ , then $L_\lambda=0\implies y=\pm3$ .
If $y=0$ , then $L_\lambda=0\implies x=\pm\dfrac32$ .
Either value of $\lambda$ found above requires that either $x=0$ or $y=0$ , so we get the same critical points as in the previous two cases.

We have $f(0,-3)=9$ , $f(0,3)=9$ , $f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25$ , and $f\left(\dfrac32,0\right)=\dfrac{729}4$ , so $f$ has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

$L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)$

with critical points whenever

$L_x=2\lambda x=0\implies x=0$ (because we assume $\lambda\neq0$ )

$L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1$

$L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda$

$L_\lambda=x^2+y^2+z^2-36=0$

If $x=y=0$ , then $L_\lambda=0\implies z=\pm6$ .
If $\lambda=-1$ , then $z=-5$ , and with $x=0$ we have $L_\lambda=0\implies y=\pm\sqrt{11}$ .

We have $f(0,0,-6)=60$ , $f(0,0,6)=-60$ , $f(0,-\sqrt{11},-5)=61$ , and $f(0,\sqrt{11},-5)=61$ . So $f$ has a maximum value of 61 and a minimum value of -60.

5 0

2 years ago

In the figure find the value of x

NikAS [45]

Answer:

I'm not that sure but I really feel like it's 15

4 0

2 years ago

Read 2 more answers

Please help, answers only!!

nikdorinn [45]

The slope of the line in the table given is 11

<h3>Slope of a Line</h3>

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by

m = y₂ - y₁ / x₂ - x₁

Taking two points from the table

m = 1172 - 864 / 72 - 44

m = 11

The slope of the line is 11

Learn more on slope of a line here;

brainly.com/question/16949303

#SPJ1

8 0

7 months ago

Find the total surface area for this triangular prism <br> height - 24cm

Andrej [43]

Answer:

24 cm² is the correct answer

7 0

2 years ago