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sleet_krkn [62]
3 years ago
10

Solve inequality -7(y+6)+33<3(5-y)

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

So firstly, you want to foil -7(y+6) and 3(5-y): -7y-42+33


Next, combine like terms: -7y-9


Next, add 7y on both sides: -9


Next, subtract 15 on both sides: -24


Lastly, divide both sides by 4, and your answer will be -6 < y

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A piece of metal with a mass of 140. g is placed in a 50 mL graduated cylinder. The water level rises from 20. mL to 41 mL. What
Klio2033 [76]
1. An object submerged in water, rises up a volume of water equal to the volume of the object. 


2.   1 milliliter of water has a volume of 1 cubic centimeters. 


3.    Mass= Density * Volume
-----------------------------------------------------------------------------------------------------


The water level rises from 20.mL to 41.mL means that a volume of 21mL of water has been displaced.              

This means that the volume of the object is 21 cm cubed.        (by 1 and 2)

By 3, the density of the piece of metal is:

Density=Mass/Volume=140 g / 21 cm^3= (140/21) g/cm^3=6.67 g/cm^3


Answer: 6.67 g/cm^3
3 0
3 years ago
Could use some help.
julsineya [31]
Answer: c = 1.25p
----
You're told that peppers cost $1.25 per pound. That means for each pound of pepper, you would have to add another $1.25 in order to find the total cost.

Another way of saying that is by multiplying $1.25 by the number of pounds, which is represented by p. That means cost, c, equals 1.25p. Or c = 1.25p.
5 0
3 years ago
find out volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=lnx, y=1, y
erik [133]
Look\ at\ the\ picture.\\\\y=lnx\\\\x=lny\to e^x=e^{lny}\to y=e^x\\\\V=\int\limits_1^3\left(e^x\right)^2dx=(*)\\\\\int\left(e^x\right)^2dx=\int(e^x\times e^x)dx\Rightarrow  \left|\begin{array}{ccc}e^x=t\\\\e^x\ dx=dt\end{array}\right|\Rightarrow\int\limits_1^3t\ dt=\frac{1}{2}t^2=\frac{1}{2}\left(e^x\right)^2=\frac{e^{2x}}{2}

(*)=\left\frac{e^{2x}}{2}\right]^3_1=\frac{e^{2(3)}}{2}-\frac{e^{2(1)}}{2}=\frac{e^6-e^2}{2}\ (units)

7 0
3 years ago
I am lost on "Graph y&lt; -3|x-1| please help!
Sindrei [870]

1) |x| is the absolute value function. Its vertex is at (0,0).

2) |x-1| has the same graph as does y = |x|, except that the vertex is shifted 1 unit to the left.

3) -3|x-1| has the same graph as the previous result, except that we must reflect the previous graph in the x-axis.

4) Replace the solid lines you used in this graph with dashed ones.

5) Shade the area beneath y = -3|x-1|

In summary:

the desired graph is the shaded area below the inverted v-shaped graph of

y = -3|x-1|. Its vertex is at (-1,0).

6 0
4 years ago
ASAP PLS HELP WILL MARK BRAINLIEST!!
Mazyrski [523]

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

5 0
3 years ago
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