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3 years ago

(-5 2/3+3 1/4) - 8 3/4

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

-6.66666666667

Step-by-step explanation:

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Show answer in lowest terms.3/4 + 8/9

DiKsa [7]

3/4 + 8/9

= (3*9)+(4*8) / (4*9)

= 27+32 / 36

= 59/36

= 1 23/36

7 0

3 years ago

Read 2 more answers

At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

<u>Answer-</u>

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

<u>Solution-</u>

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$

Now, equating this to 0

$(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x}) =0$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}-(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}=(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{1}{2}}=48e^{2x}$

$\Rightarrow (1+16e^{2x})}=48^2e^{2x}=2304e^{2x}$

$\Rightarrow 2304e^{2x}-16e^{2x}-1=0$

Solving this eq,

we get $x= \frac{1}{2304e^4-16e^2}$

∴ At $x= \frac{1}{2304e^4-16e^2}$ the curvature is maximum.

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3 years ago

Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 + x - 12 = 0

nignag [31]

X^2 + X - 12 = 0

(X + 4)(X - 3) = 0

X = -4 and X = 3.

3 0

3 years ago

Please answer this question

zimovet [89]

Answer:

The answer is 030

Step-by-step explanation:

I am unable to transmit my working but don't forget to write the bearing as 030 not 30

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3 years ago

A cylinder and sphere have the same height. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?

dalvyx [7]

Answer:

Sa = 36 circumference per meter square

3 0

2 years ago

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(-5 2/3+3 1/4) - 8 3/4​

(-5 2/3+3 1/4) - 8 3/4