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3 years ago

A store sells 12 cans of soup for $18. How much would it cost you to buy 7 cans of soup?

Mathematics

2 answers:

Luba_88 [7]3 years ago

8 0

12 7

----- = ----------

$18 ?

Using cross products

12 * ? = 18* 7

? =126/12

$10.50

Troyanec [42]3 years ago

7 0

Divide 12 by 18 to know the cost PER can, then multiply it by 7.

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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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Find x, y, z please help!

ki77a [65]

Answer:

x is 1 y is 1 and a is 1 hope this helped

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2 years ago

A dress that is normally costs 69.50 is on sale for 45% off. What is the sale price of the dress

vekshin1

$69.5 minus 45% is $38.23

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3 years ago

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I need help with my math problem #6

guajiro [1.7K]

C) 93
Q has the reverse digits of P
Q is 39 and P is 93
93 - 39 = 54

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What is the measure of

posledela

The triangle is isosceles so m∠A and m∠C are the same.

So to find ∠B, we do 74 + 74 + b = 180

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Answer B is the right choice.

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3 years ago

A store sells 12 cans of soup for ​$18. How much would it cost you to buy 7 cans of soup​?

A store sells 12 cans of soup for $18. How much would it cost you to buy 7 cans of soup?