Answer:
x = 4
Step-by-step explanation:
To solve, simplify the expression then use inverse operations to isolate x.
I got you !
Step-by-step explanation:
45 bulbs planted in first year.
65 bulbs the next year.
increase = 20 bulbs
Number of increase of planted tulip bulb is N = 65 - 45 = 20
( 20/45) x 100% = 44.4 % to the nearest tenths
Answer:
option A
a = 8.65 m/s²
Step-by-step explanation:
Given that,
force applied on a cart (forward direction) = 19N
frictional force experience by cart (backward direction) = 1.7N
mass of the cart = 2 kg
Frictional force always opposes applied force, so the Resultant force on the cart would have to be 19N - 1.7N.
Formula to use
Resultant force = ma
plug values in the formula
19 - 1.7 = 2(a)
17.3 = 2(a)
a = 8.65 m/s²
so the acceleration of the cart is 8.65m/s²
Answer:
4x + 8y = 17
Solve for y.
You want to get y on one side of the equal sign by itself so... you subtract 4x from both sides to get:
8y = -4x + 17
Then you divide both sides by 8 to get:
y= -4x/8 +17/8
Then simplify the fractions to get:
y = -2x/4 + 17/8
Step-by-step explanation:
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
