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velikii [3]
3 years ago
8

PLEASE SOLVE FOR ME!!!! I am stuck on question... 36/5x - 10 < 5

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
*\   \dfrac{36}{5x} - 10 \ \textless \ 5 \qquad x \neq 0 \\  \\  \\   \dfrac{36}{5x}\ \textless \ 5 + 10  \\  \\  \\   \dfrac{36}{5x}\ \textless \ 15 \\  \\  \\  36\ \textless \  15 * (5x)  \\  \\ 36 \ \textless \  75x  \\  \\  \dfrac{36}{75}\ \textless \  x  \qquad    \dfrac{12}{25}\ \textless \  x  \qquad   \boxed{x\in ( \frac{12}{25}; +\infty)  }



 *\ \dfrac{36}{5x-10}  \ \textless \ 5 \qquad x \neq 2 \\ \\ \\36 \textless \ 5 (5x-10)  \\ \\ 36 \textless \ 25x-50 \\ \\ 36+50\ \textless \25x \\ \\ 86 \ \textless \ 25x \\ \\ \dfrac{86}{25}\ \textless \ x\qquad \to  \qquad \boxed{x\in ( \frac{86}{25}; +\infty) }
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Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 5
Elanso [62]

Answer:

No, it doesn't mean that we can say over 50% of all people in the U.S. do not support gay marriage.

Step-by-step explanation:

We are given that a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage.

Suppose over 50% of those called do not support gay marriage.

Firstly, as we can see here that we have no information about the population and also how many people have been surveyed. <u>This means that we can't say that this poll is a representative sample. </u>

A representative sample is that which incorporates the characteristics of the whole population. As here the U.S. citizens have been contacted through landlines which means this poll does not include people who neither have landlines nor cell phones.

So, by no means, a telephone poll is a representative sample of the whole population of Us.

Hence, we can't say that over 50% of all people in the U.S. do not support gay marriage.

6 0
3 years ago
An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,
butalik [34]

Answer:

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

s=\sqrt{r_{A}^{2}+r_{B}^{2}}

Rate of change of such distance can be found by the deriving the expression in terms of time:

\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }

Where \frac{dr_{A}}{dt} = 500\,\frac{mi}{h} and \frac{dr_{B}}{dt} = 550\,\frac{mi}{h}, respectively. Distances of each airliner at 2:30 PM are:

r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi

r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi

The rate of change is:

\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }

\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}

6 0
3 years ago
lenny deposits $7,000 in an IRA. What will be the value of his investment in 3 years if the investment is earning 1.95% per year
lorasvet [3.4K]

Step-by-step explanation:

The interest is 1.95 percent.

1.95 percent = 1.0195

Value after 3 years =

1.0195 {}^{3}  \times 7000

= $7417.54 (to the nearest cent)

4 0
3 years ago
Read 2 more answers
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Answer:

it will cost $10.63 for 2.5 pounds of roast beef

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Step-by-step explanation:

8 0
2 years ago
The answer and how to do this
Vilka [71]
Graphically I guess means graph it. 

First graph goes to first problem. Second graph goes to second problem.

5 0
3 years ago
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