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vfiekz [6]
3 years ago
10

If = 11n−

6, find t_1, t_1_0 and t_n_+_1-t_n
Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

\displaystyle\bf\\t_n=11n-6\\\\t_1=11\cdot1-6=11-6=\boxed{\bf5}\\\\t_{10}=11\cdot10-6=110-6=\boxed{\bf104}\\\\t_{n+1}-t_n=11(n+1)-6-(11\cdot n-6)=11n+11-6-11n+6=\boxed{\bf11}

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Which equation best shows that 454545 is a multiple of 151515?
rusak2 [61]
454545/151515 which would be 3 i might be wrong.
7 0
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$850,4%,6 months determine the simple interest
Maru [420]
The simple interest formula is I=prt but the t or time should be in years so 6 months would be ½ of a year or .5
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6 0
3 years ago
If a ball is thrown in the air with a velocity 52 ft/s, its height in feet t seconds later is given by y = 52t - 16t^2. Find the
Sunny_sXe [5.5K]

Answer:

a.) -20ft/s

b.) -13.6ft/s

c.) -12.8ft/s

d.) -12.16ft/s

e.) -12ft/s

Step-by-step explanation:

Average Velocity = Change in distance/change in time.

Distance from the question in given in form of t as y= 52t - 16t² If our initial time is 2, distance travelled at t=2 is given as

Y(2) = 52(2) - 16(2)² =104 - 64

Y = 40ft.

For question a, when change In t is 0.5 seconds, that is from 2 sec to 2.5 seconds,

Average velocity = y(2.5) - y(2)/0.5

y(2.5) = 52(2.5) - 16(2.5)² =130 - 100 = 30

Y(2) = 40

Average velocity in 0.5 seconds = [30 - 40]/0.5 = -20ft/s.

For question b, when change In t is 0.1 seconds, that is from 2 sec to 2.1 seconds,

Average velocity = y(2.1) - y(2)/0.1

y(2.1) = 52(2.1) - 16(2.1)² =109.2 - 70.56= 38.64

Y(2) = 40,

Average velocity in 0.1 seconds = [38.64 - 40]/0.1 = -13.6ft/s.

For question c, when change In t is 0.05 seconds, that is from 2 sec to 2.05 seconds,

Average velocity = y(2.05) - y(2)/0.05

y(2.05) = 52(2.05) - 16(2.05)² = 106.6 - 67.24 = 39.36

Y(2) = 40

Average velocity in 0.05 seconds = [39.36 - 40]/0.05 = -12.8ft/s.

For question d, when change In t is 0.01 seconds, that is from 2 sec to 2.01 seconds,

Average velocity = y(2.01) - y(2)/0.01

y(2.01) = 52(2.01) - 16(2.01)² = 104.52 -64.6416 = 39.8784

Y(2) = 40

Average velocity in 0.5 seconds = [39.8784 - 40]/0.01 = -12.16ft/s.

Instantaneous velocity at t =2 is derived by getting the first derivative of y and inserting Our value of t=2 into the first derivative.

If y = 52t - 16t², then derivative of y becomes y' given as

y'= 52 - 32t

At t = 2,

y'= 52 - 32(2) = 52 - 64 = - 12ft/s.

Instantaneous velocity at t=2 is given as -12ft/s.

5 0
3 years ago
HELP ASAP PLEASE!!!!!!!!!!!!!
algol [13]

Option D

The prime factorization of 50 is 2 \times 5^2

<em><u>Solution:</u></em>

Given that, we have to find prime factorization of 50

The prime factorization is any of the prime numbers that can be multiplied to give the original number

<em><u>Prime Factorization of 50</u></em>

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder

50 \div 2 = 25

Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers

25 \div 5 = 5\\\\5 \div 5 = 1

Step 2: Write the number as a product of prime numbers

\text{ Prime factorization of 50 } = 2 \times 5 \times 5

In exponential form,

\text{Prime factorization of 50 } = 2 \times 5^2

Thus option D is correct

5 0
3 years ago
HElP asap GIVING BRAINLIST HELP!!!!
mamaluj [8]

Answer:

1. x = 0

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6. x = -1

7 0
3 years ago
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