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Svetach [21]
3 years ago
9

This is a flat surface extending in all directions.

Mathematics
2 answers:
allochka39001 [22]3 years ago
8 0

Answer:

plane

Step-by-step explanation:

System

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.

kherson [118]3 years ago
7 0
I believe this would be a plane
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ryzh [129]

Step-by-step explanation:

\int \bigg( -  \frac{2}{7}  {x}^{3}  - 4 {x}^{4}  - 2x \bigg)dx \\  \\    = -  \frac{2}{7}\int    {x}^{3}dx  - 4 \int {x}^{4}dx  - 2\int x dx  \\ \\  =  -  \frac{2}{7}   \times \frac{ {x}^{4} }{4}  - 4 \times  \frac{ {x}^{5} }{5}  - 2 \times  \frac{ {x}^{2} }{2}  + c \\  \\  =  -  \frac{{x}^{4} }{14}    -  \frac{4}{5}  {x}^{5}  -  {x}^{2}  + c \\

6 0
2 years ago
Which of the following is a trinomial with a constant term?
Furkat [3]

Answer: D. x+2y+10

Trinomial refers to the fact that the polynomial has 3 pieces (x, 2y, and 10)

Constant term means there is a term with no variable (a number with no letters attached to it: In this example, that number is 10)

6 0
3 years ago
How to solve this equation 2(f+3)+4f=6+6f?
Tresset [83]
2f+6+4f=6+6f
6f+6-6=6-6+6f
6f=6f
This means f can equal any number which we call mathematically infinite solution or infinitely many solutions
5 0
3 years ago
Read 2 more answers
Question
Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) =  (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

          25 ft =  (1/2)*(32.17 ft/s^2)*t^2

         2*25ft = (32.17 ft/s^2)*t^2

           50ft =  (32.17 ft/s^2)*t^2

         √( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0
3 years ago
The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo
Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}

P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]

=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

8 0
3 years ago
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