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likoan [24]
3 years ago
11

Is 12 1/2 larger than 12 2/5

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

yes it is

Step-by-step explanation:

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The 3rd term of an arithmetic sequence is -1 and the 7th term is -13. find the explicit formula for this sequence. What is a22?
Thepotemich [5.8K]

Answer: Hopefully the math terms won't confuse anyone.

So in the series, a_3 = -1 and a_7 = -13. Since it's an arithmetic sequence, all the terms in the series can be represented as:

a_n = a_0 + n * k

where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.

a_7 = a_0 + 7 * k

a_3 = a_0 + 3 * k

solving this system gives you that

k = - 3 and a_0 = 8

Hence:

a_22 = 8 + 22 * -3 = -58

Step-by-step explanation:

8 0
3 years ago
A car driving at 20m/s accelerates at 3m/s2 for 3s. What is its final velocity? How far will it travel during this time?
-BARSIC- [3]

Answers:

Final velocity = 29 m/s

Distance traveled = 73.5 meters

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

Work Shown:

The given data is

v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\

This leads to

v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\

The final velocity is 29 m/s.

----------

We can use that final velocity to find the distance traveled.

x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\

The distance traveled is 73.5 meters.

----------

An alternative way to calculate the distance is to do this

x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\

Or you could do this

x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\

For more information, check out the Kinematics equations.

7 0
3 years ago
How do I find square roots without a calculator?
tekilochka [14]
You have to find to numbers that are the same and multiply them to see if you the answer your looking for for example, square root of 36 is 6 because 6 time 6 is 36
6 0
4 years ago
Read 2 more answers
A child requires a 5ml dose of medicine each day. how many days would a gallon of this medicine last.
OLga [1]

in a US gallon, there are approximately 3.79 Liters, in a Liter there are 1000 milliLiters, so 3.79 Liters is then 3.79 * 1000 milliLiters, namely 3790 milliliters.

since a gallon is then approximately 3790 mL, how many times does 5mL go in to 3790? 3790 ÷ 5 = 758.

since the child uses 5mL in 1 day, then 758 times that is 758 days.

4 0
4 years ago
Sarch enjoys cutting lawns and charges $20 for each small lawn and $30 for each large
mina [271]

Answer:

small yards: 5 = 110$

large yards: 1 = 30$

she mowed 5 small and 1 large yard

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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