Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
It is D. After realizing the inequality to y>1, you can find D. To get y>1, you can see that there is a dotted line so there is no equal to and then you find that all y values are greater than 1 so we figure out it is D!
Answer:
3.74
Step-by-step explanation:
Use Pythagorean theorem
2.5^2=x^2=4.5^2
x=3.74
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:
Hence, the probability that the second card is king is 0.05882
