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Nutka1998 [239]
2 years ago
8

Find the sum. Homework: 9.4 arithmetic series

Mathematics
1 answer:
RUDIKE [14]2 years ago
5 0

Answer:

Step-by-step explanation:

a1 = 3(1) - 7 = - 4

a2 = 3(2) - 7 = -1

d = a2 - a1

d = -1 - (-4)

d = -1 + 4

d = 3

a60 = 3(60) - 7

a60 = 180 - 7

a60 = 173

n = 60

Sum = (a1 + a60) * n / 2

Sum = (-4 + 173) * 60/2

Sum = (169)*30

Sum = 5070

==================

Just to check, we'll use the second summation formula

d = 3

n = 60

a1 = -4

Sum = (2*a1 + (n - 1)*d )*n / 2

Sum = (2*(-4) + (60 -1)*3)* 60/2

Sum = (-8 + 59*3) * 30

Sum = (177 - 8)*30

Sum = 169 * 30

Sum = 5070

Same answer.

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Find f(x)=x^2-x^3,find f(-10)
sergij07 [2.7K]

Answer:

f(-10) = 1,100

Step-by-step explanation:

f(-10) = (-10)^2 - (-10)^3

= 100 - (-1000)

= 1,100

3 0
3 years ago
The diagram shows a circle, centre O.<br> Work out the value of a. <br> BCO=41 degrees
sattari [20]

Answer:

a = 49°

Step-by-step explanation:

OB = OC ( both radii of the circle ), thus

Δ BOC is isosceles and the base angles are congruent, that is

∠ OBC = ∠ OCB = 41° , so

∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°

The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus

a = 0.5 × 98° = 49°

5 0
3 years ago
A 1500 kg weather rocket accelerates upward at 10 m/s2 . It explodes 2.0 s after liftoff and breaks into two fragments, one twic
S_A_V [24]

Answer:

V2=-20.0155m/s

Step-by-step explanation:

To answer this question we will use the principle of conservation of momentum which is

MtVt=M1V1+M2V2

1) let's find the initial velocity.

We will use,

v=a*t

v=10m/s2*2s = 20 m/s

d=vot+1/2*a*t2

d=0+1/2*10*4

d=20m

2) For the speed of the lighter piece we use,

v22=v12+2ad

0=v12+2*-9.81*(530-20)

v12=10006.2

v1=100.031m/s

3) Computing this in our conservation of momentum equation it will be-

MtVt=M1V1+M2V2

1500kg*20m/s=(1500*1/3)kg*100.031m/s + (1500*2/3)+V2

30000=50015.5+1000V2

Therefore V2=-20.0155m/s.

6 0
3 years ago
What is the factor of 4x subtracted from 28 ?
jolli1 [7]

Answer:

I think its (2x+4)(2x+7)

4 0
3 years ago
Could I possibly get help with this?
ad-work [718]

Answer:

? = 74.64111442

Step-by-step explanation:

\frac{sin(x)}{27}=\frac{sin(90)}{28}

       =\frac{1}{28}

        *27

        =\frac{27}{28}

sin^{-1}(27/28)

=74.64111442

5 0
3 years ago
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