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Galina-37 [17]
2 years ago
13

Which inequality does the graph represent?

Mathematics
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

x < -y + 1

Step-by-step explanation:

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The length of a rectangle is 3 times longer than it’s width. If the area of the rectangle is 24 square inches, then what is the
faust18 [17]

3w)w = 24in^2  (Tossing out the negative solution for unit measure)

3w^2 = 24

w^2 = 8

w =  2√2in  and L = 6√2in L+=+3w

P = 2L + 2w = 16√2in  

7 0
3 years ago
Standard form 12ten thousands, 8 thousand, 14 hundreds, 7 ones
eimsori [14]
128,147 is what the number looks like
3 0
2 years ago
What is partial derivative of z=(2x+3y)^10 with respect to x,y?
maw [93]
Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9

\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9

Or, if you actually did want the second order derivative,

\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8

and in case you meant the other way around, no need to compute that, as z_{xy}=z_{yx} by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because z is a polynomial).
3 0
3 years ago
Read 2 more answers
Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.
Leviafan [203]

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

Volume\,\,of\,\,cone=\frac{1}{3}\pi  r^2h

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93

Volume\,\,of\,\,cone=1526.62

Rounding off to the nearest tenth:

Volume\,\,of\,\,cone=1527.1\,\,cm^3

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737

#learnwithBrainly

6 0
3 years ago
What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2?
Kamila [148]
Point slope equation: 
y-y1=m(x-x1) 
m=slope

So we simply plug in our given information: 
x1=-8 
y1=2
m=1/2

y-2=1/2(x-(-8)  

2 minus signs next to each other make a positive 

Final answer: 
y-2=1/2(x+8)
6 0
2 years ago
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