Answer:
-197.2
Step-by-step explanation:
Since it is arithmetic series, first find the difference d between the two know series.
3.8 - 6 = - 2.2
d = -2.2
a = 6
Tn = -29.2
Looking for the n term, use the linear method.
Tn = a+( n - 1)d
Substitute all the parameters
-29.2 = 6+( n - 1 ) -2.2
-29.2 = 6 - 2.2n + 2.2
- 29.2 = 8.2 - 2.2n
-29.2 - 8.2 = - 2.2n
-37.4 = -2.2n
n = 37.4/ 2.2
n = 17 terms.
To Find the exact sum of the arithmetic series, use the sum formula below
Sm = n/2( 2a + (n - 1)d)
Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2
Sm = 17/2(12 - 35.2)
Sm = 8.5( - 23.2)
Sm = - 197.2
Therefore, the exact sum of the arithmetic series is -197.2
Answer:
13
Step-by-step explanation:
I am amusing you are looking for the hypotenuse since this is middle school.
If you have the legs and are looking for the hypotenuse you use the Pythagorean Theorem 
The legs are a and b, and the hypotenuse is c
The work would look like this
extra notes
- I rounded to 13
- If you didn;t know you cancles exponents with roots
so the 
is cancled by aka 
Hope this helped :)
Hey there!
This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.
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Column 1
Age: 22
Height of Jump in Inches: 15.4
15.4=0.3(22)+11.8
15.4=6.6+11.8
15.4=18.4
This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.
--------------------------------------------------------------------------------------------
Column 2
Age: 24
Height of Jump in Inches: 17
17= 0.3(24)+11.8
17=7.2+11.8
17=19
This is equation is also false.
--------------------------------------------------------------------------------------------
Therefore, this equation is not a good fit for the data given.
I hope that this helps! Have a wonderful day!
Answer:
75
Step-by-step explanation:
3×(5) squared becomes 3× 25=75
Answer:
1400 cm squared
Step-by-step explanation:
40*35=1400cm squared
