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2 years ago

9660 divided by 23 ( SHOW YOUR WORK PLEASE ) It's for a grade to turn in Handwritten notes

Mathematics

2 answers:

Zanzabum2 years ago

7 0

Here this is what you do to solve

lorasvet [3.4K]2 years ago

3 0

Answer:

420

Step-by-step explanation:

9660÷23=420

and 420×23 =9660

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I research or chooses a random sample of registered voters in Kingsville he found that three out of every five voters surveyed s

ikadub [295]

8843737383737744444444

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2 years ago

4-3-6x^3-2y^3+3x^3+5+2y^3 combining like terms please check answer before given

strojnjashka [21]

4 - 3 - 6x³ - 2y³ + 3x³ + 5 + 2y³
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3 years ago

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.

6 0

2 years ago

Which proportion could be used to find the length of side b?

Goshia [24]

Answer:

Step-by-step explanation:

Using the Sine Rule in ΔABC

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

$\frac{a}{sin58}$ = $\frac{b}{sin82}$ = $\frac{8.4}{sin40}$

We require a pair of ratios which contain b and 3 known quantities, that is

$\frac{b}{sin82}$ = $\frac{8.4}{sin40}$

$\frac{sin40}{8.4}$ = $\frac{sin82}{b}$ → B

8 0

3 years ago

Read 2 more answers

A circle has radius 50 cm. Which of these is closest to its area?

juin [17]

Answer:

7,854cm^2

Step-by-step explanation:

π50²=2500π

2500π=7853.98

6 0

2 years ago