Answer:
8.533333
Step-by-step explanation:
9^(−
1/
2
)+25−
1
2
+32^
(3/
5)
= 9
(−1
/2)
+25(−
1
/2)
+32
^(3
/5)
=0.333333+25^(−
1/
2)
+32
^(3
/5)
=0.333333+25
^(−1
/2)
+32
^(3/
5)
=0.333333+0.2+32^
(3/
5)
=0.533333+32
^(3
/5)
=0.533333+8
=8.533333
2x+2y=-10
-x+y. = 9
2x + 2y = -10
-2x + 2y = 18
4y = 8
y= 2
2 - x = 9
-x = 7
x = -7
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as
both nervous = 0.14*0.14 = 0.0196 = 1.96%
one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%
At least one nervous = 1.96% + 12.04% = 14%
Answer:
q = 15
Step-by-step explanation:
Given
f(x) = x² + px + q , then
f(3) = 3² + 3p + q = 6 , that is
9 + 3p + q = 6 ( subtract 9 from both sides )
3p + q = - 3 → (1)
---------------------------------------
f'(x) = 2x + p , then
f'(3) = 2(3) + p = 0, that is
6 + p = 0 ( subtract 6 from both sides )
p = - 6
Substitute p = - 6 into (1)
3(- 6) + q = - 3
- 18 + q = - 3 ( add 18 to both sides )
q = 15
