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Oksana_A [137]
2 years ago
8

a hatchling turtle has a shell with a 1-inch diameter. the shell keeps a similar shape as the turtle grows. compare the volume a

nd surface area of the hatchling's shell to the shell when it's diameter is 4 inches
Mathematics
1 answer:
earnstyle [38]2 years ago
5 0
Answer would be 4 multiple
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The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)? please
Rom4ik [11]

Answer:

I think the answer is option b

Step-by-step explanation:

5 0
2 years ago
Solve the following linear program using the graphical solution procedure: Max 5A + 5B s.t. 1A lessthanorequalto 100 1B lessthan
earnstyle [38]
<h2>Answer:</h2>
  • The optimal solution to the given linear programming problem exist at (100,50)
  • and the optimal solution is:  5A+5B= 750
<h2>Step-by-step explanation:</h2>

We are given  a system of linear programming problem as follows:

   Max 5A + 5B

s.t.        A ≤ 100---------------(1)

            B ≤ 80-------------(2)

          2A+4B ≤400-------------(3)

which is given by:

            A+2B ≤ 200

and   A,B≥0

This means that the solution to this LPP  will lie in the first quadrant.

( Since, both the variables A and B are greater than or equal to zero)

Now, we consider that A is represented by the  x axis and B by y-axis.

We know that the optimal solution always exist at the boundary point.

Hence, by plotting these inequalities in the graph we get the boundary points as:

(0,0) , (0,80) , (100,0) , (100,50) and (40,80)

Now, we will check at which boundary point the optimal function is maximized .

   Point        Value of optimal function( 5A+5B)

    (0,0)                           0

   (0,80)                         400

   (100,0)                        500

  (100,50)                       750

   (40,80)                        600

The maximum value is obtained at (100,50).

and the value of the optimal solution is:  750

5 0
2 years ago
Katya cut part of the jump rope off to make it shorter. The new length is 8 and StartFraction 1 over 6 EndFraction feet. The dif
maksim [4K]

Answer:

9 feet it is right

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
Two fish are put in a man-made lake with no other fish in it. Each month, the fish population triples. Which model and equation
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

The basic model for this growth is the exponential function:  y = a(b)^c, where a is the initial value, b is the growth rate and c is the time.

Here we have P = fish population = (2 fish)(3)^t

8 0
2 years ago
There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an
ollegr [7]

Answer:

369 students have taken a course in either calculus or discrete mathematics

Step-by-step explanation:

I am going to build the Venn's diagram of these values.

I am going to say that:

A is the number of students who have taken a course in calculus.

B is the number of students who have taken a course in discrete mathematics.

We have that:

A = a + (A \cap B)

In which a is the number of students who have taken a course in calculus but not in discrete mathematics and A \cap B is the number of students who have taken a course in both calculus and discrete mathematics.

By the same logic, we have that:

B = b + (A \cap B)

188 who have taken courses in both calculus and discrete mathematics.

This means that A \cap B = 188

212 who have taken a course in discrete mathematics

This means that B = 212

345 students at a college who have taken a course in calculus

This means that A = 345

How many students have taken a course in either calculus or discrete mathematics

(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369

369 students have taken a course in either calculus or discrete mathematics

4 0
2 years ago
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