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ella [17]
3 years ago
14

Pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism.

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

Where's the prism? >︿<

Step-by-step explanation:

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Solve the following rational equation plz help!!
Yuri [45]

Answer:

x = \frac{9}{4}

Step-by-step explanation:

Given

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x^2+x} ← factor denominator

\frac{4x}{x+1} - \frac{5}{x} = \frac{4}{x(x+1)}

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = \frac{9}{4}

However, x ≠ - 1 for reason given above, then

solution is x = \frac{9}{4}

4 0
3 years ago
the volume of a cube is increasing at a constant rate of 824 cubic centimeters per minute. At the instant when the volume of the
Maurinko [17]

Answer:

DA/dt  = 75.27 cm²

Step-by-step explanation:

Cube Volume    =   V(c)   =  683  cm³

DV(c) /dt    =  824 cm³

V(c,x) = x³    

Then

DV(c,x)/ dt   =  3x² Dx/dt

( DV(c,x)/ dt )/ 3x²  =  Dx/dt       (1)

Now  as  V(c,x) = x³    when    V(c,x)  =  683 cm³     x = ∛683

x  =  8.806     ( from excel)

And by subtitution of this value in equation (1)

Dx/dt   =  ( DV(c,x)/ dt )/ 3x²   ⇒  Dx/dt  =  824 / 3*x²

  Dx/dt   = 824 /3*77.55

Dx/dt   =  824/232,64

Dx/dt   = 3,542

Then we got  Dx/dt  where x is cube edge. The area of the face is x² then

the rate of change of the suface area is  

DA/dt  = ( Dx/dt )²*6         ( 6 faces of a cube)

DA/dt  = (3.542)²*6

DA/dt  = 75.27 cm²

6 0
2 years ago
I’ve been trying sooo hard to get this and i can’t, please help
Greeley [361]

Should be 37 if you use Pythagorean theorem!

7 0
3 years ago
A deep sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after
Mashutka [201]

Answer:

600 feet

Step-by-step explanation:

60 feet per minute

m = minute

60m

60(10)

600 feet

8 0
3 years ago
What is the slope of the line with an equation of 5x - 3y = -12
Hoochie [10]

Answer: m=\frac{5}{3} =1.67

Step-by-step explanation:

  1. Original equation:  5x-3y=-12
  2. Subtract 5x from both sides of the equation: -3y=-5x-12
  3. Divide both sides of the equation by -1: 3y=5x+12
  4. Divide both sides of the equation by 3 to get y on the left, leaving the equation in y=mx+b form: y=\frac{5}{3}x+4
  5. Evaluate. Slope is equal to m in this form, so the slope is m=\frac{5}{3}.

Hope this helps!

5 0
2 years ago
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