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Kaylis [27]
3 years ago
6

16x>2x-3 Solve the inequality for x and show the steps

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer:

Step-by-step explanation:

16x > 2x - 3

Subtract 2x from both sides

14x > -3

Then divide; -3/14

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What fraction is equivalent to 0.002?
kherson [118]
Since 0.002 Is in the <u>thousandths place</u> on the right, It would be 2/1000.

So your answer would be in fratcion form:
2/1000

Word Form:
Two one-thousandths

Hope I helped ya! ^-^
4 0
3 years ago
Read 2 more answers
Three forces act on a hook. Determine the magnitude of the resultant of the force.
Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y

\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y

\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y

The resultant force is the sum of these vectors,

\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y

and has magnitude

|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N

The closest answer is D.

5 0
2 years ago
5y(2y-3)=(2y-3) can someone help me and explain step by step on how to do it
Studentka2010 [4]
First you must add the same numbers together, for instance, you wouldn't add 4y with 4 you have to add it with another number that is just like it, for instance 4y and 9y they are the same, so you can add them. So let's get to the problem now: 5y(2y-3)=(2y-3) 5y*2y=10y (10y-3)=(2y-3) You can do nothing to the other side because there are no numbers, that are the same.
6 0
3 years ago
A line has a y intercept of 7 and a slope of 3/4, and goes DOWNHILL. What is the equation of this line?
Vladimir79 [104]

the answer is b, if not then try d:)

4 0
2 years ago
Read 2 more answers
Which of the following points lies on the line perpendicular to
sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
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