For the function f(x) = -5x, which ordered pair will be a point on the graph of the function?

Iron Man has 400 pounds of iron for his new suit. He got 50% of the iron from Europe, 25% of the iron from Asia, and 10% of the

natima [27]

Answer:

Her got 60 pounds from North America

Step-by-step explanation:

7 0

3 years ago

- A phone call costs $0,58 for the first 3 minutes and $0.15

Goshia [24]

.58 + .15x = 4.78
28 minutes

8 0

3 years ago

In the diagram above <1=135 find the measure of <2

kow [346]

Answer:

∠ 2 = 45°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 135° = 45°

6 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Mr. Allen is planning a twenty question quiz worth 100 points. The quiz will contain True/False questions worth 3 points each an

andrey2020 [161]

Answer:

a)5 b)15

Step-by-step explanation:

5 times 11=55

15 times 3 is 45

add together is 100

5+15 is 20 questions

4 0

3 years ago

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