1 • 0.4 = 0.4
2 • 0.2 =0.4... 0.2+0.2=0.4
Y= -1/4x + 4.25, perdendicular then it must be the opposite of 4x which is -1/4. Then you multiply it with 5 and then add or subtract a number so you can find 3. So -1/4× 5 + 4.25= 3. Here you gooo!
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
New length is 3 3/20 ft.
Step-by-step explanation:
The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.
We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8
Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8
5/6 ⋅ x = 21/8
(multiply both sides by 6)
5x = 63/4
(divide both sides by 5)
x = 63/20
x= 3.15
So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.
If the truck can carry 1000 apples at a time, Bananaville is 1000 miles away from Appleland and you pay one apple per mile, then it's impossible to deliver any apple to Bananaville, because on 1000 miles you'll pay 1 apple * 1000 miles = 1000 apples as a tax. So no matter if you go once, twice, three times or a hundred times there - you'll be never able to deliver any apple.
Answer: The highest number of apples you can get to Bananaville is 0.
