Answer:
For Example: Evaluate a2b for a = –2, b = 3, c = –4, and d = 4.
Step-by-step explanation:
To find my answer, I just plug in the given values, being careful to use parentheses, particularly around the "minus" signs. Especially when I'm just starting out, drawing the parentheses first may be helpful:
a2 b
( )2 ( )
(–2)2 (3)
(4)(3)
12
Note how using parentheses helped me keep track of the "minus" sign on the value of a. This was important, because I might otherwise have squared only the 2, ending up with –4, which would have been wrong.
By the way, it turned out that we didn't need the values for the variables c and d. When you're given a big set of expressions to evaluate, you should expect that there will often be one or another of the variables that won't be included in any particular exercise in the set.
Evaluate a – cd for a = –2, b = 3, c = –4, and d = 4.
In this exercise, they've given me extra information. There is no b in the expression they want me to evaluate, so I can ignore this value in my working:
(–2) – (–4)(4)
–2 – (–16)
–2 + 16
16 – 2
14
Remember that a conditional statement (
p→q) is an if-then in which the first part,
p, is the hypothesis and the second part,
q, is the conclusion.
1. Here the set
m<span>
∠A=40° is a subset of the set
Acute Angles, so </span>
m∠A=40° is the hypothesis and
Acute Angles is the conclusion.
In other words:
m∠A=40°→∠A is an Acute Angle
if m∠A=40°,
then ∠A is an Acute Angle
We can conclude that the conditional statement that describes the Venn diagram is:
if m∠A=40°, then ∠A is an Acute Angle2. Just like before, the set

is a subset of the set

; therefore,

is the hypothesis and

is the conclusion.
In other words:

→
if 
,
then 
We can conclude that the conditional statement that describes the Venn diagram is:
if 
,
then
Answer:
the width is 0.7 feet
Step-by-step explanation:
Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.
7 = 10 * x, or 7 = 10x
Now, solve for the width, or x, by dividing both sides by 10.
7(/10) = 10x(/10)
7/10 = x
Simplify 7/10 = 0.7
So the width of the banner is is 0.7 ft!
The correct answer to this is 11.2
hope that helps
Answer:
Jumping Jacks:7,<u>21,28</u>,42
Push-ups:2,6,8,<u>12</u>