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Contact [7]
3 years ago
6

What sequence is modeled by the graph below? Picture and answer choices below :)

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0
(1;\ 4)\to a_1=4\\(2;\ 0.8)\to a_2=0.8\\(3;\ 0.16)\to a_3=0.16\\\\it's\ a\ geometric\ sequence\ because\ a_1a_3=a_2^2\\\\a_1a_3=4\cdot0.16=0.64\\\\a_2^2=0.8^2=0.64

a_n=a_1r^{n-1};\ r=a_2:a_1\to r=0.8:4=0.2=\dfrac{1}{5}\\\\subtitute:\\\\a_n=4\cdot\left(\dfrac{1}{5}\right)^{n-1}
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1.Give one number that makes the inequality x + 7 > 20 true
nata0808 [166]
1. Any number above 13 works. Why? Because 20-7=13, and to be greater than 20, you must add a number larger than 13.

Examples: 14+7 > 20, 30+7 > 20, 100+7 > 20

2. Any number below 25/3 (which is also 8.3 with a repeating 3) works. Why? Because 25/3=8.3 with a repeating 3, and to remain less than 25, you must multiply by a number less than 8.3 with a repeating 3.

Examples: 3(8) < 25, 3(5) < 25, 3(0) < 25

3. 4 buses. 1 bus will hold 60 students, 2 will hold 120, 3 will hold 180, and 4 will hold 240. The question is trying to trick you into putting now 3.3333333333... buses because that's what 200/60 is, but there is no such thing as a third of a bus. So you need at least 4 buses. (There will be an extra 40 spaces for passengers on the 4th bus, but that is okay.)

To find this answer I did 200/60 and got 3.3 with a repeating 3. You must round to the higher whole number. Rounding down to 3 buses leaves you with 20 students without a bus.

4. 19 boxes. 18 boxes will only hold 288 candies. The question is trying to trick you into putting down 18.75 boxes because that's what 300/16 is, but there is no such thing as 75% of a box. So you need at least 19 boxes. (There will be an extra 4 spaces for candies in the 19th box, but that is okay.)

To find this answer I did 300/16 and got 18.75. You must round to the higher whole <span>number. Rounding down to 18 boxes leaves you with 12 candies without a box.</span>
6 0
3 years ago
Solve the equation 6x+3y=3 to get it into slope-intercept form.
Serhud [2]

Answer:

y =− 2 x + 1

Step-by-step explanation:

6 0
3 years ago
the length of rectangle is 4cm more than its breadth and its perimeter is11cm more than its .The area of the rectangle
Kisachek [45]
We can mark "breadth" as x so lenght will be x +4 so x+x+x+2+x+2 =11
Therefore 4x+4=11
4x=7
X=7/4
So length is x+4 =7/4 +4
7 0
3 years ago
10x +9 − x=12<br><br> Solve for X, What does X=?
marishachu [46]

Answer:

10*0.3+9-0.3=12

Exact form

1/3

Decimal form

0.3

Hope this helps! :)

6 0
4 years ago
Read 2 more answers
Al and Bill each have two bullets. They fire alternately at a glass bottle. Al has hitting probability 1/3 and Bill 1/4. What is
enot [183]
P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =  
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6

So required probability = 1/3 + 1/6 =  1/2
8 0
4 years ago
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