All categories

3 years ago

Evaluate 3|-3| -6 6 -9 9

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

Step-by-step explanation:

The absolute value of -3 is |-3|, which in turn is 3. Thus we have

3(3), or 9. The fourth answer choice is the correct one.

You might be interested in

What number times itself gives 256

GalinKa [24]

Answer:

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

8 0

3 years ago

Read 2 more answers

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago

What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft? Use 3.14 to approximate pi. Express you

Keith_Richards [23]

Your answer would be an almighty

0 jk

It would be 226.08ft^3

8 0

3 years ago

Which expression is equal to 7/8

myrzilka [38]

7/8 .. *2 = 15/16

7/8 ...* 5 = 35/40

7/8 ...* 10 = 70/80

You can multiply the numerator and denominator by any number ( must be the same number), to result in an equivalent expression

8 0

4 years ago

The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the left three units and up t

alexgriva [62]

We are given the parent function, f(x) = 5x and is vertically compressed by a factor of 1/2, shifted to the right (3 units) and down two units.

Vertical compression makes the function:

f(x) = (1/2) * 5x

shifted 3 units to the right makes the function:

f(x) = (1/2) * 5 (x+3)

shifted 2 units down makes the function:

f(x) = (1/2) *(5 (x+3)) - 2

therefore, this function is the resulting function after performing all three adjustments of the parent function. First, compression, then shift to left/right, then shift up and down.

3 0

3 years ago