Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
Answer:
$18 per square foot.
Step-by-step explanation:
First there are 3 feet in a yard. So if she purchased 5 square yards there would be 3 times as many square feet soo.
5*3= 15
So there were 15 square feet in the 5 square yards.
Now just divide 270/15 = 18
$18 per square foot.
Hope this helpsss!
Answer:
0.3 or 3/10
Step-by-step explanation:
a/b = -1/4 / -5/6
=> -1/4 * -6/5
=> 6/20
=> 3/10 in simplest form.
Hope this helps, Please put me as brainliest!!
Answer:
20-8. 3. 4x+(5-3y), when r = 5 and y=-1. 415)+(5-3(-1). 20+ (5+3). 4. -7x-(-4x² ... 3. 3(3x - 1)-11x-1. 9X-3-11X-1. 4. -2(x - 5) +3(-4-). -2x+10-12-3x. [-5x-2. 5. 4-2(x +5)+3x(x - 2). H-2X-10+3x2-6X. [3x²8x-61. 6. 15-6-3)+4(x-3). 15-X+2+4x-12. 3x + 5 ... Objective 2: To find the slope when given an equation of a line.
Step-by-step explanation:
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)