Find the value(s) of c such that the area of the region bounded by the parabolae y=x^2−c^2 and y=c^2−x^2 is 4608.

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

3 years ago

mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days

4vir4ik [10]

Answer:

Most likely time, according to PERT (Program evaluation and review technique).

Step-by-step explanation:

PERT is "a statistical tool used in project management" (Program evaluation and review technique (2020), in Wikipedia), and it is commonly used with CPM (Critical Path Method) to manage projects.

Inside PERT, there are different defined times to accomplished an activity in a project, that is:

An optimistic time or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
A pessimistic time, a time quite the opposite to optimistic time.
A most likely time, or a time required to accomplished an activity if everything goes as expected or normally.
An expected time, an statistical estimation.

Considering the question, we have that the time when "the first module of the project could be completed":

"[...] in as few as 15 days" is the optimistic time.
"[...] or could take as many as 25 days" is the pessimistic time.
"[...] but most likely will require 20 days" is the most likely time.

As a result, the 20-day estimate is called the most likely time in the context of the PERT/CPM techniques.

3 0

3 years ago

Find the volume of a sphere whose r is 20 inches

Svet_ta [14]

I think the answer is 33510.32in³

4 0

3 years ago

WILL GIVE BRAINLIST ANSWER MATH

Wittaler [7]

Answer:

might be C not sure though

8 0

2 years ago

Consider the following word problem. Imagine that Dr. White of the French department, Dr. Black of the English department, and D

Anestetic [448]

A word problem is used to solve problems in mathematics without the explicit use of equations initially.

<h3>What is a Word Problem?</h3>

This refers to the use of words to generate an equation that can be solved by mathematical means.

Hence, we can see that because the question is incomplete, we can infer that there is a relationship that exists between Dr. White, Dr. Black, Dr. Brown, and a woman that does not have brown hair, and equality would be used to solve it.