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2 years ago

Can you please help me

Mathematics

1 answer:

seraphim [82]2 years ago

7 0

Answer:

176 US fluid ounces

Step-by-step explanation:

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N x 50 = 5,000. Explain your solution

prohojiy [21]

In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
$N*50=5000\\\frac{n*50}{50}=\frac{5000}{50}\\n=100$

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3 years ago

Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the ar

densk [106]

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

A = ℎ(2ℎ−2)

h is the height of the banner

A is the area = 60

Substitute

60 = ℎ(2ℎ−2)

60 = 2h² - 2h

30 = h² - h

h²-h-30 = 0

Factorize;

h²-6h+5h-30 = 0

h(h-6)+5(h-6) = 0

(h-6)(h+5) = 0

h - 6 = 0 and h+5 = 0

h = 6 and -5

Since the height cannot be negative;

h = 6

Hence he height of the banner is 6

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Plug in your coefficients

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