All categories

3 years ago

Please help thank you soooo much

Mathematics

2 answers:

DIA [1.3K]3 years ago

7 0

Answer:

Question 5 - 30 seconds

Question 6 - 7.5

Step-by-step explanation:

For question 5, just check and think, if it was 1 min per block, it would take 10 mins not 5. Which leads to 30 seconds.

For question 6, All I did was multiply all the answers by 40 and then check which equals 300.

gayaneshka [121]3 years ago

3 0

2 minutes and $7.50 would be the answer please put me down as brainliest

You might be interested in

The plane x + y + 2z = 12 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points on the ellipse that are nearest t

Soloha48 [4]

The distance between a point $(x,y,z)$ and the origin is $\sqrt{x^2+y^2+z^2}$ . But since $(\sqrt{f(x)})'=\frac{f'(x)}{2\sqrt{f(x)}}$ , both $f(x)$ and $\sqrt{f(x)}$ have the same critical points, so we can consider instead the squared distance, $x^2+y^2+z^2$ .

We're looking for the extrema of $x^2+y^2+z^2$ subject to $x+y+2z=12$ and $z=x^2+y^2$ . The Lagrangian is

$L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(x+y+2z-12)+\mu(z-x^2-y^2)$

with critical points where the partial derivatives vanish:

$L_x=2x+\lambda-2\mu x=0\implies\lambda=2x(\mu-1)$

$L_y=2y+\lambda-2\mu y=0\implies\lambda=2y(\mu-1)$

$L_z=2z+2\lambda+\mu=0$

$L_\lambda=x+y+2z-12=0$

$L_\mu=z-x^2-y^2=0$

From the first two equations, it follows that $x=y$ .

Then in the last two equations,

$x+y+2z-12=0\implies x+z=6$

$z-x^2-y^2=0\implies z=2x^2$

$\implies x+2x^2=6\implies2x^2+x-6=(2x-3)(x+2)=0\implies x=\dfrac32\text{ or }x=-2$

If $x=\frac32$ , then $z=6-\frac32=\frac92$ ; if $x=-2$ , then $z=8$ .

So there are two critical points, $\left(\frac32,\frac32,\frac92\right)$ and $(-2,-2,8)$ .

Let $f(x,y,z)=\sqrt{x^2+y^2+z^2}$ . We have a minimum distance of $f\left(\frac32,\frac32,\frac92\right)=\boxed{\frac{3\sqrt{11}}2}$ and maximum distance of $f(-2,-2,8)=\boxed{6\sqrt2}$ .

8 0

4 years ago

HELLPPPP ME !!!1 i dont need a explanation

tatiyna

Answer:

Part 1: 30.42

Part 2: 33.598 (33.6)

Step-by-step explanation:

Part 1:

First you're going to start by subtracting 142 from 360 to get 218

Then you're going to divide 218 by 360 to get a rounded .61

Then you're going to multiply that by pi (3.14)

.61 x 3.14 = 1.9

Then you're going to square 4

4 x 4 = 16

Then multiply 1.9 x 16

Your answer should be 30.42

Part 2:

Since it gives you the measurment you need, you're going to skip the subtracting and just divide 107 by 360

This gives you .3 (rounded)

Multiply by pi

.3 x 3.14 = .94

multiply by square of 6 (36)

.94 x 36 = 33.84

if you shove it all into a calculator without rounding inbetween at all you get 33.59

3 0

4 years ago

Read 2 more answers

Calculate 3.7*10^4+5.248*10^5 Write your answer in scientific notation.

KonstantinChe [14]

Answer:

3.45 x 10^5 hope this helps

8 0

3 years ago

Read 2 more answers

How much money will you have after 4 years if you deposited P10,000 in a bank that pays 6% simple interest?

Alex_Xolod [135]

Answer:

P12400

Step-by-step explanation:

Deposit = P 10000
Interest rate = 6% simple per year
Time = 4 years

Total in 4 years:

10000*(1 + 4*6/100) =
10000*1.24 =
12400

After 4 years the amount is P 12400

5 0

3 years ago

You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. The carpet is sold in square yards. Ho

FromTheMoon [43]

Answer:

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

Step-by-step explanation:

convert feet to yard:

1 yard=3 feet so

12 feet=4 yards

10 feet=10/3 yard=3.33333 yard

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

3 0

3 years ago