Answer:
36
Step-by-step explanation:
Calculation to Find two positive numbers
First step
Let the first positive number be a
Let the second positive number be b
Second step is to create the Equation
a^2+b= 54....... Equation (1)
b = 54-a^2........ Equation (2)
Third step is to find the product
Product= a(54-a)^2 = 54a-a^3
Fourth step is to differentiate
dP/dx = 54-3a^2
dP/dx = 0
Fifth step is to solve for 54-3a^2 = 0
Hence,
3a^2=54
a^2 = 18
Last step
a= √(18)
b= 54-(√(18))^2
b=54-18
b = 36
Therefore the two positive numbers are 36
X= 144*
I took the two angles added them together and got 144 and then i subtracted 180. To get the last angle in the triangle which is 36. And since its a straight line thats 180* to find x subtract 180- 36 which is 144.
Answer:
1/35
Step-by-Step Explanation:
1. We can think about this problem as the probability of 3 events happening.
The first event is the teacher choosing one student who does not play soccer. The second event is the teacher choosing another student who does not play soccer, given that the teacher already chose someone who does not play soccer , and so on.
2. The probability that the teacher will choose someone who does not play soccer is the number of students who do not play soccer divided by the total number of students: 3/7.
3. Once the teacher's chosen one student, there are only 6 left.
4. There's also one fewer student who does not play soccer, since the teacher isn't going to pick the same student twice.
5. So, the probability that the teacher picks a second student who also does not play soccer is 2/6.
6. The probability of the teacher picking two students who do not play soccer must then be 3/7*2/6.
7. We can continue using the same logic for the rest of the students the teacher picks.
8. So, the probability of the teacher picking 333 students such that none of them play soccer is:
3/7*2/6*1/5=6/210=1/35
If you meant 2x + 2x + 1 = 17: x = 4
Solve for x by simplifying both sides of the equation, then isolating the variable.<span>
</span>
If you meant <span>x2 + 2x + 1 = 17:</span> <span>x ≈ 3.1231056,−5.1231056x</span>
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. <span><span>x = −1 ± <span>√17</span></span>x</span>
Alright
s=number of hours headd south
e=number of hours headed east
s+e=8
and
total is 147 miles
distance=speed times time
15s+24e=147
we got 2 equations
s+e=8
15s+24e=147
subsitution
s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton
15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3
sub back
s=8-e
s=8-3
s=5
it was headed south 5 miles