Answer:
304
Step-by-step explanation:
find the area of each side, then add together
top and bottom are 10*8= 80 80*2= 160
front and back are 10*4=40 40*2=80
left and right sides are 8*4=32 32*2=64
160+80+64=304
Answer:
So basically anything higher than .5 would be x>.5 so it has to be greater than or equal to .51
Step-by-step explanation:
.51 .75 .89 .56 .78 .86 .61 it goes on and on as long as it is greater than .50
Givens
Sequence 2, - 4, 8, -16, 32 ....
First term = a = 2
Problem
Find the nth term
tn = (-1 )^(n -1) * (a)^n answer or
tn = (-1)^(n - 1) * 2^n
where a is defined as the first term (it usually is given that designation).
Try a few to make sure the formula is correct
<em>n = 1</em>
t1 = (-1)^(1 - 1) * 2^1
t1 = (-1)^0 * 2
t1 = 1 * 2 = 2
<em>n =2</em>
t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4
The domain is actually the x value of the function, so we need to find the value of x
suppose the width is x, the length is then 3x+5
the area is 50^2 inches, so x(3x+5)=50 => 3x^2+5x-50=0
Factor this quadratic equation: (x-5)(3x+10)=0 =>x=5 or x=-10/3
width can not be negative, so the width is 5
the domain is x=5
Answer: 21, 23, 25
Step-by-step explanation:
Let the integers be y, y+2 and y+4.
From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:
y + 4(y+4) = 121
y + 4y + 16 = 121
5y + 16 = 121
5y = 121-16
5y = 105
y = 105/5
y = 21
Since y = 21,
y + 2 = 21 + 2 = 23
y + 4 = 21 + 4 = 25
The integers are 21,23 and 25
