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dedylja [7]
2 years ago
10

Dave works for 5 hours double time and he earns $98 find his normal hourly year rate

Mathematics
1 answer:
Finger [1]2 years ago
3 0

Answer: $9.8 per hour

Step-by-step explanation:

If Dave works for 5 hours at double time, then he gets paid for 10 hours of work. If he earned $98 for 10 hours of work, all you need to do is divide the amount of money earned by the hours of work. \frac{98}{10}=9.8 dollars per hour.

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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Sloan [31]

Answer:

x \approx 21.080\,ft, y = 29.080\,ft

Step-by-step explanation:

The total area of the pool and the walkway is:

(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}

(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}

x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}

x^{2} + 20\cdot x - 866\,ft^{2} = 0

The roots of the second-order polynomial is:

x_{1} \approx 21.080\,ft and x_{2} \approx -41.081\,ft

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3 0
3 years ago
Which expressions are equivalent to ln x 2 ln 5 ln 1? Check all that apply. 2 ln 5x ln (x 26) ln 25x ln 1 ln 25x.
Marysya12 [62]

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,

  • \ln25+\ln1
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Given information-

The expression given in the problem is,

\ln x+2 \ln 5 +\ln1

<h3>Equivalent expression-</h3>

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

\ln x+2 \ln 5 +\ln1

As the above function is the function of <em>x. </em>Thus it can be written as,

f(x)=\ln x+2 \ln 5 +\ln1

<h3>Logarithm power rule</h3>

Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

f(x)=\ln x+ \ln 5^2 +\ln1\\&#10;f(x)=\ln x+ \ln 25 +\ln1

Now the value of \ln 1 is equal to the zero. Thus,

f(x)=0+\ln 25 +\ln1\\&#10;f(x)=0+\ln 25 +\ln1\\&#10;f(x)=\ln 25 +\ln1\\&#10;f(x)=\ln 25 +0\\&#10;f(x)=\ln 25

Hence the expressions which are equivalent to the given expression are,

  • \ln25+\ln1
  • \ln25

Learn more about the equivalent expression here;

brainly.com/question/10628562

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