What are the common factors of 20 and 30 <br> A. 1,2,5,10<br> B. 1,2,10<br> C. 1,10<br> D. 1,5,10

Is the derivative of square root of 6x, 3x^(-1/2)?

strojnjashka [21]

Lets calculate derivative of $\sqrt{6x}$

That is:
$( 6x^{ \frac{1}{2} } )' = 6* \frac{1}{2} * x^{ \frac{1}{2} -1 } = 3* x^{- \frac{1}{2} }$

Comparing that with offered answer we can see that results match.

6 0

3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago

Pls help will give brainliest and 5star plss helpp

denpristay [2]

Answer:

Yes, they are congruent

Step-by-step explanation:

Two figures are congruent if they have the same side lengths and the same angles, all in the same order. (I mean "same order" by you couldn't have a rectangle and a kite with different orders of the sides being congruent). Now, if we use this, we can compare the sides and angles to find out that they are indeed congruent.

6 0

3 years ago

A boat traveled 175 miles downstream and back. The trip downstream took 5 hours. The trip back took 7 hours. What is the speed o

Flura [38]

Answer it would be 12 miles per hour

Step-by-step explanation:

ive took the test ITS CORRECT

PLSSSS MARK ME BRAINLIEST

4 0

3 years ago

Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it fa

vazorg [7]