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vodka [1.7K]
3 years ago
5

Which symbol makes the number sentence true? -3.5__ 14/4 (< = >)

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

it's =

hope this helps

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Graph y= x^2+3x+2. identify the vertex and axis of symmetry
dlinn [17]
Axis or sym. is -1.5. vertex is ( -.25,-1.5)

5 0
3 years ago
A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner
algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by  using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

V=x(216-24x-36x+4x^{2})

V=x(4x^{2}-60x+216)

V=4x^{3}-60x^{2}+216x

So now we can find the derivative of the volume:

V'=12x^{2}-120x+216

and set it equal to zero, so we get:

12x^{2}-120x+216=0

and now we can solve. We can start by factoring the left side of the equation, so we get:

12(x^{2}-10x+18)=0

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}

so we substitute the corresponding values:

x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0
3 years ago
Please answer this questions for me
Crazy boy [7]
The player that’s further to the hole I’m so sorry if it’s incorrect
4 0
3 years ago
a pet store has 7 cats here are their weights 12, 12, 9, 16, 11, 11, 9 find the mean weighy of these cats ​
shusha [124]

Answer:

The mean weight of the cats is 11.42 (rounded)

Step-by-step explanation:

To find the mean, you add up all the weights (12, 12, 9, 9, 11, 11, 16) and then divided the sum (80) of the weights by the number of cats (7)

12+12+9+9+11+11+16= 80

80 ÷ 7= 11.42857143 (I rounded my answer to 11.42)

I hope this was helpful. Have a wonderfull rest of your day!

5 0
3 years ago
A certain library charges a flat fee of $5 for any overdue book for the first x days the book is overdue, and an additional fee
sweet [91]

Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)

Step-by-step explanation:

flat fee $5 for first x days +

m dolars per day after x days

So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.

But, we do not know how many days x is, so

if x < 12, a person will pay, for 12 days, the m times the difference of the days passed x:

5 + m(12-x)

5 0
3 years ago
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