Answer:
This will be the sum of a geometric series where the first term is 4
The common ratio is -5
And we will have 6 terms.....so....the sum is
first term [ 1 - common ratio^number of terms ] / [ 1 - common ratio ] =
4 [1 - (-5)^6] / [ 1 - -5 ] =
4 [ 1 - 15625 ] / 6 =
(2/3) ( -15624 ) =
-10416
Step-by-step explanation:
The first one is the answer
Answer:
π/2 = 90°
Step-by-step explanation:
Given that,
Radian measure = π/2
The formula used to convert radian measure to degree measure is given by :
So, the degree matches for π/2 is 90°.
Answer:
4x + y = 10
Step-by-step explanation:
The point-slope form of the equation of a straight line is y - k = m(x - h).
Letting m = -4, 1 = h and 6 = k, we get y - 6 = -4(x - 1).
Now we must rewrite this in standard form. Do this: Carry out the multiplication. We get y - 6 = -4x + 4.
Now add 6 to both sides, obtaining
y = -4x +10
Finally, add 4x to both sides, obtaining:
4x + y = 10. This is the desired equation in standard form.
M + s = 10 or s = 10 - m
<span>3m + 2s = 23 </span>
<span>substitute first equation into second equation: </span>
<span>3m + 2(10 - m) = 23 </span>
<span>3m + 20 - 2m = 23 </span>
<span>m = 3 </span>
<span>using first equation: </span>
<span>s = 10 - 3 = 7 </span>
<span>check using second equation: </span>
<span>3(3) + 2(7) = 23 </span>
<span>9 + 14 = 23 checks </span>
<span>He hit 7 stationary and 3 moving targets.</span>
