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Juli2301 [7.4K]
3 years ago
13

Which of the following r one dimensional figures?

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

a. ray

e. segment

f. line

Step-by-step explanation:

<em><u>Info on dimensions:</u></em>

  • <em>A Point has no dimensions </em>
  • <em>A Line is one-dimensional </em>
  • <em>A Plane is two dimensional</em>
  • <em>A Solid is three-dimensional</em>

<u>Let's see number of dimensions of figures: </u>

<u>a. ray </u>

  • One dimension

<u>b. angle </u>

  • Two dimensions

<u>c. square </u>

  • Two dimensions

<u>d. point </u>

  • Zero dimension

<u>e. segment </u>

  • One dimension

<u>f. line</u>

  • One dimension
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If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?
AnnZ [28]

Answer:

B)g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

Step-by-step explanation:

Here, the given functions are:

g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6

Now, g(x) - h(x) is : 

(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+  (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15

⇒(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6) =  3x^3 - 5x^2 - 15x + 15

B) Hence, g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

3 0
3 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. What is the populat
Blababa [14]

Answer:


Step-by-step explanation:

Answer:

12,495 is the answer

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Somebody please help me with my homework it do tomorrow!!!
xxTIMURxx [149]

The solution to given system of equations is (x, y) = (2, -1)

<em><u>Solution:</u></em>

Given system of equations are:

-1x + 2y = -4  -------- eqn 1

4x + 3y = 5 ------- eqn 2

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 4</u></em>

4(-1x + 2y = -4)

-4x + 8y = -16  ------ eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4x + 3y = 5

-4x + 8y = -16

( + ) --------------------

0x + 11y = -16 + 5

11y = -11

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-1x + 2(-1) = -4

-x -2 = -4

-x = -4 + 2

-x = -2

x = 2

<em><u>Check the answer:</u></em>

Substitute x = 2 and y = -1 in eqn 2

4x + 3y = 5

4(2) + 3(-1) = 5

8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

8 0
3 years ago
Please solve <br> 5/5 ÷ 1/2 =
Gala2k [10]
<span>5/5 ÷ 1/2 =
5/5 is the same as 1 so 1/2 of 1 = 1/2
</span>
5 0
3 years ago
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