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3 years ago

Consider the following sets

Mathematics

2 answers:

Artyom0805 [142]3 years ago

4 0

Answer:

1, 4, 5

Step-by-step explanation:

on edge

choli [55]3 years ago

3 0

Answer:

Paris ∈ F, Abraham Lincoln belongs to none of these sets , The Eiffel Tower is in more than one of these sets.

Step-by-step explanation: :D hope it helps

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 34.5 ft3. what dimensions

____ [38]

Answer:

$l \approx 3.3\,ft$ , $x = 3.2\,ft$

Step-by-step explanation:

The equations of volume and surface area are presented below:

$34.5 = l^{2}\cdot x$

$A_{s} = 2\cdot l^{2} + 4\cdot l \cdot x$

The length of the tank is:

$x = \frac{34.5}{l^{2}}$

The expression fo the surface area is therefore simplified into an univariable form:

$A_{s} = 2\cdot l^{2} + 4\cdot \left(\frac{34.5}{l} \right)$

$A_{s} = 2\cdot l^{2} + \frac{138}{l}$

The first and second derivatives of the expression are, respectively:

$A_{s}' = 4\cdot l -\frac{138}{l^{2}}$

$A_{s}'' = 4 +\frac{276}{l^{3}}$

The first derivative is equalized to zero and length of the square side is now found:

$4\cdot l -\frac{138}{l^{2}} = 0$

$4\cdot l^{3}-138 = 0$

$l^{3} = \frac{138}{4}$

$l = \sqrt[3]{\frac{138}{4} }$

$l \approx 3.3\,ft$

Now, the second derivative offers a criteria to determine if solution leads to an absolute minimum:

$A_{s}'' = 4 + \frac{276}{(3.3\,ft)^{3}}$

$A_{s}'' = 11.7$ (Absolute minimum)

The depth of the tank is:

$x = \frac{34.5\,ft^{3}}{(3.3\,ft)^{2}}$

$x = 3.2\,ft$

6 0

3 years ago

What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2

Leto [7]

Answer:

i think c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve the following systems of equations

Varvara68 [4.7K]

Answer:

$(-1;1)$ and $(0;4)$

Step-by-step explanation:

First of all, even if the system is of 4th degree, by looking at the shape of the equations I am expecting up to 2 solutions.

The easiest way to solve it, since both equation are in the form y= something, is to equate both RHSs.

$3x^2+6x+4=-3x^2+4\\6x^2+6x=0 \rightarrow 6x(x+1)=0$

which tells us that either $x=0$ or $x=-1$

Now we can replace these value of x in one of the two to finish our work: $x=0\rightarrow y= 4$

$x=-1 \rightarrow y= -3+4=1$

6 0

2 years ago

A ticket to a play costs $50. there is a 5% transaction fee. what is the total cost of the ticket

valentina_108 [34]

Answer:

$52.50

Step-by-step explanation:

To find the total cost, we need 105% of $50. Multiply;

$50 × 1.05 = $52.50

The total cost is $52.50

8 0

4 years ago

Read 2 more answers

4 martians, 3 plutonians and 5 jupiterians are to be seated in a row at an interplanetary conference. How many seating arrangeme

Rudik [331]

we are given

martians =4

plutonians =3

jupiterians=5

so, total number of seats =4+3+5=12

number of seating arrangement for martians is 4!

number of seating arrangement for plutonians is 3!

number of seating arrangement for jupiterians is 5!

total number of seating arrangement is 12!

so, we get

possible seating arrangements are

$=\frac{12!}{4!3!5!}$

$=27720$ .............Answer

8 0

3 years ago