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Ganezh [65]
2 years ago
7

The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the

bids as an arithmetic sequence. What is the ​bid?
​207,216,225,234
Mathematics
1 answer:
sesenic [268]2 years ago
7 0

Answer:

aₙ = 207+9*(n-1)

Step-by-step explanation:

a1 = 207+9*(1-1) = 207

a2 = 207+9*(2-1) = 216

a3 = 207+9*(3-1) = 225

....

aₙ = 207+9*(n-1)

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A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.
Tasya [4]

Answer:

Hello,

£75.40*12= 904.8£


Step-by-step explanation:


5 0
3 years ago
The middle number of 3 consecutive whole numbers is 2a.
TiliK225 [7]
First number --- (2a-1)
middle number ---- (2a)
third number -----(2a+1)
2a-1+2a+2a+1=250
6a=250
a=250/6= 125/3
2a=2*(125/3)= 250/3    ---- is not a whole number that is contradicts to what is given,  so sum cannot be 250
so 
6 0
3 years ago
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown u
Anna [14]
• The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.

• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.

• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.

• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.

• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.


1. TRUE
2. False
3. TRUE
4. False
5. False
9 0
3 years ago
Read 2 more answers
Which angle has a sine of -1/2 and a cosine of -√3/2
Sergeeva-Olga [200]
\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}
8 0
3 years ago
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