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dimulka [17.4K]
3 years ago
13

Round to the nearest whole dollar: 2.89

Mathematics
2 answers:
m_a_m_a [10]3 years ago
7 0

Answer:

I believe it would be $3

Step-by-step explanation:

IgorLugansk [536]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.

If this helps please mark as brainliest

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
Leni [432]

Answer:  \dfrac{2x^2-1}{x(x^2-1)}

Step-by-step explanation:

The given function : y=\ln(x(x^2 - 1)^{\frac{1}{2}})

\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}    [\because \ln(ab)=\ln a +\ln b]

\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}  [\because \ln(a)^n=n\ln a]

Now , Differentiate both sides  with respect to x , we will get

\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1) (By Chain rule)

[Note : \dfrac{d}{dx}(\ln x)=\dfrac{1}{x}]

\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)

[ \because \dfrac{d}{dx}(x^n)=nx^{n-1}]

=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}

Hence, the derivative of the given function is \dfrac{2x^2-1}{x(x^2-1)} .

8 0
3 years ago
Need help on this question asap pleasee
slavikrds [6]

Answer:

4th option

Step-by-step explanation:

The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is

67.5 = \frac{1}{2} (x + 90)

6 0
3 years ago
Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.
Yakvenalex [24]

Answer:

(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy

I hope this helps ! <3

Step-by-step explanation:

3 0
2 years ago
Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely,
PIT_PIT [208]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Find the x-intercept for the line represented by this equation.
nexus9112 [7]
Hello : 
answer : D 
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4(0) -3(0) = 6(0) +0
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7 0
3 years ago
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