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Svetach [21]
2 years ago
8

Find the slope of (9,8) and (5,1)

Mathematics
1 answer:
8_murik_8 [283]2 years ago
8 0

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
Square root of -25 in imaginary form
Anvisha [2.4K]
Remember
√(mn)=(√m)(√n)

and
√-1=i

√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i
7 0
2 years ago
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I need help for bi dont get it
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Answer:

EWWWWWWWWWWWWW UR BI???!!

Step-by-step explanation:

7 0
2 years ago
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Tara ran the 1600 M event at a constant speed in 5 minutes and 20 seconds. what was her speed
ollegr [7]

5 m/sec or 300m / min

using speed = \frac{distance}{time}

change 5 min 20 sec to seconds = (5 × 60) + 20 = 320 sec

speed = \frac{1600}{320} = 5m / second or

speed = 60 × 5 = 300m / minute



4 0
3 years ago
What is the value of x if e3x+6=8
goldfiish [28.3K]

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

4 0
3 years ago
Read 2 more answers
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