Answer:
He does not have enough money to buy the hat.
Step-by-step explanation:
First find out how much he spent on the ticket:
He spent $62 on the ticket, so he has $90 - $62 = $28 remaining. Now find out how much of that he spent at the concession stand:
He spent $12 at the concession stand, so he has $28 - $12 = $16 remaining. He does not have enough to buy the $18 hat.
Answer:
Step-by-step explanation:
For the sake of clarity, assuming you meant:
1) Absolute Value or Modulus functions has one property that assures us that:
2) Solving for x
Not defined in Real Set of Numbers
Evaluating :
3) So, since for the first case the Discriminant Δ <0, then the solutions presented for . The only solution in the Real Set for the inequality is , i.e. x=-1.
Answer:
The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²
Step-by-step explanation:
The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;
The given expression is (-5·q·r) × (-2·p·q·r) × p·q
Therefore, we have;
(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²
10 × q³ × r² × p² = 10·q³·r²·p²
∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²
(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².
Answer:
43
Step-by-step explanation:
Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles
First we find out the width of the rectangle
Δx=b−a/n, a= 0 and b= 3, n= 3
so Δx= 1
Divide the interval [0,3] into 3 sub intervals of width=1
[0,1] [1,2] [2,3]
Now we plug in end point and evaluate the function
We take left endpoints
f(0) = 16 - 0^2=16
f(1) = 16 - 1^2= 15
f(2) = 16 - 2^2= 12
Now sum = Δx(f(0) + f(1)+f(2))
= 1 (16+15+12)= 43
Answer:
66.6
Step-by-step explanation:
1200/1800x100 = 66.6