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3 years ago

What is 0.07 10 times as much as

1 answer:

5 0

0.07 is 10 times as much as 0.007.

Because is means equal in mathematics
times means multiplication

so we can make:

0.07 = 10x
x = 0.007

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Select all that are true.

satela [25.4K]

Answer:

Step-by-step explanation:

1/2 +1/2 =1

length 1/2 ×4=2

wide 1/2 ×3 =1 1/2

height 1/2×3= 1 1/2

4 0

4 years ago

Algebra help? 343 = (x/6) ^2/3

Vladimir79 [104]

I can only assume that you meant, "Solve for x:"

Apply the exponent 3/2 to both sides of this equation. The result will be

3/2

343 = x/6.

Multiplying both sides by 6 isolates x:

3/2

6*343 = x Since 7^3 = 343, the expression for x

can be rewritten as

3/2

6*(7^3) = x which can be further simplified, as follows:

x = 6^(3/2)*7^(9/2), or:

x = 6^(3/2)*7^(8/2)*√7, or

x = 6^(3/2)*7^4*√7

3 0

4 years ago

A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the

suter [353]

Answer:

$V = 518cm^3$

Step-by-step explanation:

Given

$h = 15cm$

$R = 6cm$

$r =5cm$

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

$V = \pi R^2h$

After the cut-out, the cylinder has a volume of:

$V = \pi [R^2 -r^2]h$

So, we have:

$V = 3.14* [6^2 -5^2]*15$

$V = 3.14* [36 -25]*15$

$V = 3.14* 11*15$

$V = 518cm^3$

6 0

3 years ago

What is one soultion to this graph y>-x+2 y<2x+y

Lynna [10]

9514 1404 393

Answer:

(x, y) = (3, 0)

Step-by-step explanation:

The solution space is above the line y = -x+2 in the right half-plane where x > 0. One possible solution is (x, y) = (3, 0).

7 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