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2 years ago

13. If 6 times the 6th term of an A.P. is equal to

Mathematics

1 answer:

romanna [79]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides

6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )

- 7a₁ + 30d = 156d ( subtract 30d from both sides )

- 7a₁ = 126d ( divide both sides by - 7 )

a₁ = - 18d

Now

a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required

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PLEASE HELP ME

stiv31 [10]

Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).

I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18

9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)

factor 243 to find a perfect square

x = √(3*81)
x = 9√(3)

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2 years ago

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zaharov [31]

B I have done this before

6 0

2 years ago

Read 2 more answers

Please answer this question I need it i. Vertex and standard form.

Brums [2.3K]

Equation :

This parabola is facing downwards and highest point of the parabola is it's vertex.

Highest point is (-2,2)

so the vertex is (-2,2)

The graph is passing through (-1,0)

Equation in vertex form is

$y = a(x - h) {}^{2} + k$

$0 = a( - 1 + 2) {}^{2} + 2 \\ 0 =a (1) {}^{2} +2 \\ 0 = a + 2 \\ a = - 2$

Substitute back in Equation

$y = - 2(x + 2) {}^{2} + 2$

the graph has two x intercepts -1 and -3

that means (x+1) and (x+3) are the factors

multiply factors to get the equation in standard form

$-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2} + x + 3x + 3) = 0 \\ -2( x {}^{2} + 4x + 3) = 0$

-2x^2-8x-6=0

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2 years ago

when the driver is in the empty truck, the mass is 2948.35 kilogram. the mass of 1 box of paper is 22.5 kilograms. the driver de

marishachu [46]

Answer:

0 boxes minimum

Step-by-step explanation:

The mass of the truck and paper must satisfy ...

22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits

22.5b ≤ 1751.65

b ≤ 77.85

The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.

_____

The question asks for the minimum. We usually expect such a question to ask for the maximum.

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2 years ago

An accounting professor wishing to know how many MBA students would take a summer elective in international accounting did a sur

aleksandrvk [35]

Answer: Convenience sample.

Step-by-step explanation:

Convenience sample is also known as grab or accident or opportunity samples. It is a example of non probability sample that involves selecting of subjects because of the proximity, convenience and accessibility a researcher as to them. This type of samples are not reliable for data gathering when it involves a very large sample space, let's say a global audience.

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2 years ago