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Klio2033 [76]
3 years ago
13

For centuries, mathematics seemed to exist in service to the natural sciences. Many of the great mathematical breakthroughs, lik

e Newton's Calculus, were spearheaded in the effort to solve scientific questions. In the nineteen century, though, mathematicians made it clear that the primary object of mathematical study were the abstract creations of mathematics—numbers and shapes and functions and their more abstruse extensions—irrespective of whether this study has any bearing on scientific investigation. Therefore, mathematics is not properly one of the natural sciences.
Which of the following is an assumption that supports drawing the conclusion above from the reasons given for that conclusion?

A) Mathematics can also be used to serve social sciences, such as economics.
B) The object of a natural science must be something tangible that can be perceived by the senses.
C) Some great scientists, like Einstein, by their own admission, were not very good at math.
D) If one discipline serves another discipline, it can never rise to the same rank as the discipline it serves.
E) At times in the natural sciences, especially in Physics, mathematical calculations have led to extraordinary breakthroughs in scientific understanding.
Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

b,d

Step-by-step explanation:

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If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg
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Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).

Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

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3 years ago
The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 carton
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6 0
2 years ago
The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children
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Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

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Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.



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