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Juli2301 [7.4K]

3 years ago

6

CONVERT 5 1/2 to and IMPROPER FRACTION.

2 answers:

Rina8888 [55]3 years ago

8 0

Answer: 11/2

Explanation:

Step 1: Multiply the denominator by the whole number
2 × 5 = 10

Step 2
Add the answer from Step 1 to the numerator
10 + 1 = 11

Step 3
Write answer from Step 2 over the denominator
11/2
=112

Dennis_Churaev [7]3 years ago

4 0

Answer:

<em>Hi There!! :-D</em>

Step-by-step explanation:

<em>5 1/2 as an improper fraction is 11/2.</em>

<em />

<em>We know that 5 x 2 is 10, and 10 + 1 is 11, therefore your answer is 11/2 !!!</em>

<em />

<em>Hope this helps you! ∩__∩</em>

<em>- abakugosimp</em>

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Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

6 0

3 years ago

cory bought 4 apples and 6 oranges and paid 5.10. Dalia bought 2 apples and 5 oranges and paid 3.65. what is the cost of 2 orang

aev [14]

Answer:

pls tell me where cory bought them from. its a very cheap price . i want to buy

Step-by-step explanation:

4 0

3 years ago

Greatest to least π^2/4, √4, 2.93

NemiM [27]

Answer:

2.93, √4, π^2/4

<em>Hope this helps</em>

<em>-Amelia</em>

4 0

3 years ago

A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott

jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } $cm^{2}$

This area is equal to 125 $cm^{2}$ as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ $a^{2}$ - 18 a +80 -125 =0

⇒ $a^{2}$ - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a $>$ 4.

Thus the required answer is 15 cm.

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3 years ago

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6 soccer balls for $150

eduard

the cost of one soccer ball is 150/6 or 25 dollars.

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3 years ago

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