Answer:
is the answer.
Step-by-step explanation:
Given:
<u>Step 1: Converting the mixed fraction into fraction:</u>
Multiply 4 by 2 add 1 to the result.
<u></u>
= 
=
=
<u>Step 2: Performing the multiplication using the fraction</u>
= >
=> 
<u>Step 3: Converting the product back to mixed fraction </u>
divide 81 by 16 and find the remainder
=>
Dividing 81 by 16 we get 5 as quotient and 1 as remainder
Thus the result in mixed fraction will be
=>
180
This is because 12x5x3 = 180
Answer:
9
Step-by-step explanation:
21^2-19^2=80
sqaure root of 80 to the nearest 10th is
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1 is the first term
n is the numbers of terms
for n=3 a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1
for n=7 a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2
multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3
add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6) (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4
the answer is
a1=4
d=-6
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