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Law Incorporation [45]
3 years ago
5

Find a formula for the described function. an open rectangular box with volume 6 m3 has a square base. express the surface area

sa of the box as a function of the length of a side of the base, x.
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
<span>x^2 * h = 6
   
h = 6%2Fx%5E2
   
:
       
Surface area of an open box
   
S.A. = x^2 + 4(x*h)
   
;
   
Replace h with6%2Fx%5E2
   
S.A. = x^2 + 4(x*6%2Fx%5E2)
   
;
   
Cancel x:
   
S.A. = x^2 + 4(6%2Fx)
   
:
   
f(x) = x^2 + 28%6Fx; is the surface area in terms of x</span>
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5. A ball is thrown upward with an initial velocity of 50 feet per second. The
dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
Name the triangles that are classified by angles
Bumek [7]
<span>2. scalene, isosceles, equilateral</span>
3 0
3 years ago
Read 2 more answers
A cake calls for 25 cups of sugar. If I use 225 cups of sugar, how many batches did I make?
Alja [10]

Answer:

9

Step-by-step explanation:

225/25= 9

9 batches

5 0
3 years ago
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Can someone explain this please???
xeze [42]

A function is a rule that assigns exactly one output to a given input. The input is taken from a set called the domain, and the corresponding output belongs to a set called the range.

1. In this exercise, we're calling the pool of patients 1-8 the domain, and the pool of nurses A-D the range. The given table describes a function because any patient is assigned to only one nurse.

2. This wouldn't be a function if at least one patient was assigned to more than one nurse. If this were to happen in practice, the patient could be, say, given the same dose of some medicine twice if the nurses aren't careful.

3. Making the nurse pool the domain and the patient pool the range would give a relation that is not a function, since more than one patient is assigned to one nurse.

4 0
3 years ago
5th grade math. Correct answer will be marked brainliest.
myrzilka [38]

Answer:

45.2 × 10⁰ = 45.2 (a⁰ = 1 )

45.2 × 10¹ = 452

45.2 × 10² = 4520

45.2 × 10³ = 45200

8 0
3 years ago
Read 2 more answers
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