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tia_tia [17]
3 years ago
14

HELPPGPPGPFPPDPSPPSS MEEEEK

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
3 0

Answer:

jsjwbsihdn3oiansjsos

bonufazy [111]3 years ago
3 0
6-y6 I hope that helps
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PLS ANSWER it CORRECTLY for 25 points<br>​
olchik [2.2K]

Answer:

1. 0

2. 18 th term

3. 209

4. 670

Step-by-step explanation:

1. n^th term  of an A.P = a + (n - 1)d , where n is the term

6 = a + (5 - 1)d ... (i)

5 = a + (6 - 1)d ... (ii)

a + 4d = 6 ... (i)

a + 5d = 5 ... (ii)

Subtracting (ii) - (i) we get;

0 + d = -1 , d = -1

So the common difference (d) = -1

And first term (a);

a + 4(-1) = 6

a = 6 + 4 = 10

11^th term will be;

n_{11} = 10 + -1(11 - 1) = 10 - 10 = 0

2. The A.P is;

1, 4, 7, 10, 14, ....

The first term (a) = 1

The common difference (d) = 3

n_{th} = a + (n - 1)d

52 = 1 + (n - 1)3

3n - 3 + 1 = 52

3n = 52 + 2 = 54

n = 54/3 = 18 th term

3. The A.P is;

4, 9, 14, ... , 254

The first term (a) = 4

The common difference (d) = 5

n_{th} = a + (n - 1)d

To find what term number 254 is;

254 = 4 + (n - 1)5

5n - 5 + 4 = 254

5n = 254 + 1 = 255

n = 255/5 = 51

The 10^th term from the end of the AP is the 42^nd term.

n_{42} =  4 + (42 - 1)5 = 4 + 205 = 209

4. The A.P is;

5, 8, 11, 14, ...

The first term (a) = 5

The common difference (d) = 3

Sum of n terms in an A.P is given by;

s_{n} = \frac{n}{2}(2a + (n - 1)d)

s_{n} = \frac{20}{2}(10 + 19(3) = 10(10 +57) = 670

7 0
3 years ago
What is the volume of the cylinder if the height is 2x+7 and the radius is x-3
shusha [124]

Answer:

Therefore the volume of the cylinder=\pi(2x^3-5x^2-24x+63)  cubic units

Step-by-step explanation:

Given height of a cylinder is (h) =2x+7

and radius  (r)= x-3

Volume of the cylinder = \pi r^2 h

                                  =\pi (x-3)^2(2x+7)

                                  =\pi (x^2-6x+9)(2x+7)

                                  =\pi (2x^3-12x^2+18x+7x^2-42x+63)

                                  =\pi(2x^3-5x^2-24x+63)  cubic units

Therefore the volume of the cylinder=\pi(2x^3-5x^2-24x+63)  cubic units

5 0
2 years ago
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of t
valentinak56 [21]

Answer:

The area of the triangle enclosed by the three points

A(1,1), B(1,4) and C(-3,4) in this question will be given by

|Ax ( By − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2

=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units

5 0
3 years ago
Read 2 more answers
Lucy went for a drive in her new car. She drove for 3 hours at a speed of 37.5 miles per hour. For how many miles did she drive?
zimovet [89]

Answer:

She drove a 122.5 miles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is M.M.C and how to find it?
Bingel [31]
Maximum Material Condition or for short, MMC, is a feature of size symbol that describes the condition of a feature or part where the maximum amount of material (volume/size) exists within its dimensional tolerance.
4 0
3 years ago
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