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3 years ago

Simplify: |x+3| , if x>2

Mathematics

1 answer:

Burka [1]3 years ago

4 0

Answer:

I believe it would be 0 and up

Step-by-step explanation:

|x + 3|

|3 + 3|

3 - 3 = 0

and X can be any number higher than two so it would go up by one each time. 0,1,2,3 etc..

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34 is what percent of 80? (Round to the nearest whole number)

Marizza181 [45]

Answer:

42.5

34:80*100 =

(34*100):80 =

3400:80 = 42.5

8 0

3 years ago

Help pLLEAAASSEE LOLOLOL

guajiro [1.7K]

Answer:

the answer is c, hope this helps

5 0

3 years ago

Please help: Find the volume of the solid. Use 3.14 for π.

kenny6666 [7]

Answer:

3391.2

Step-by-step explanation:

The formula for the volume of a cylinder is

pi * r^2 * h

Plugging the values in we get

3.14 * 6^2 * 30

= 3.14 * 36 * 30

= 3391.2

6 0

3 years ago

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

$f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})$

$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

$\Rightarrow y=\frac{y^4}{39304}$

$\Rightarrow y^3= 39304$

⇒y=34 cm

Then $\Rightarrow x=\frac{39304}{34^2}$ =34 cm.

Putting the value of x and y in the equation (2)

$z=\frac{19652}{34 \times 24}$

=17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0

3 years ago

1. The graph of (y + 6)2 = 2(x – 7) is a parabola. Which statement is true?

MakcuM [25]

Answer:

Step-by-step explanation:

Because y is squared, or, actually, because (y + 6) is squared, we know immediately that the graph is horizontal. Because both (y + 6)^2 and (x - 7) are positive, we know that the graph opens to the right. (b) is correct.

7 0

3 years ago