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4 years ago

Find f'(x) if f(x)=3squareroot(x+2)using the definition of the derivative!

Mathematics

1 answer:

ycow [4]4 years ago

4 0

I hope this helps you

f (x)=(x+2)^3/2

f'(x)=3/2. (x+2)^3/2-1

f'(x)=3/2 (x+2)^1/2

f'(x)=3/2.square root of (x+2)

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Evaluate the expression when: A=2, B=1, C=4<br> A+6/CB

vovikov84 [41]

Answer:

Imma rewrite the question as: 2+6/41

2+6=8

i think since the letters were next to each other u multiply?? Is so...:

4x1=4

8+4=12

=12

but if u add the letters next to eachother....

2+6=8

4+1=5

8+5=13

=13

or if u use “41” as a whole number and add it in..:

2+6=8

8+41=49

=49

Step-by-step explanation:

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3 years ago

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There are 5/7 as many barrettes as hair ties in Sasha's hair supplies. There are 5/8 barrettes as hair bands in her supplies. Wh

motikmotik

Answer:

1/3

Step-by-step explanation:

We are given ...

barrettes : hair ties = 5 : 7

barrettes : hair bands = 5 : 8

Then the combined ratios are ...

barrettes : hair ties : hair bands = 5 : 7 : 8

For every 5 barrettes, there are 7+8 = 15 hair ties and bands, so their ratio is ...

barrettes/(hair ties and bands) = 5/15 = 1/3

7 0

3 years ago

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Get help

natka813 [3]

Answer:whut

Step-by-step explanation:

7 0

3 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

$A =l\times w$

Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

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3 years ago

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Boxes of raisins are labled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is re

kati45 [8]

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12= 21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393 ; 22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

5 0

3 years ago