Answer:
The estimate is reasonable.
Step-by-step explanation:
Jamie's estimate seems reasonable.
We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.
We can solve the given fraction for confirmation,
So,
which is near to -0.75 so the estimate of Jamie was right ..
Answer:
6+(-2)
Step-by-step explanation:
6 is positive but we are subtracting 2. Therefore, the expression is 6 plus -2. It is negative because that is what we are taking away. The plus sign does not mean anything because there is a negative number. When you look at it, you immediately read 6 plus -2 and since it is a negative not a positive then it's subtracting not adding.
Answer:
(a) <7 and <8
(b) <3 and <8
(c) <6 and <1
Step-by-step explanation:
There are multiple different answers for each of the questions but these are the ones I chose.
(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.
(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.
(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.
Direct variation is of the form y=kx, so y/x should be a constant, k...
-8/-2=-16/-4=-24/-6=k=4 so y=kx is:
y=4x
Answer:
First question, x= 10^10.
Second question is 10!. or 362880
Step-by-step explanation:
First Question:
Simple logx has a base of 10, i.e log10 x,
the question will be 10 = log10 x,
when taking the base "10" from the right side to the left, the number on the left side becomes the power of the base, in this case 10 from the right will be base and 10 from the left will power and log will vanish.
x=10^10.
Another example with different numbers
Y=logx if Y= 12, What is x?
The base is ten when not given,so:
12=logx
10^12=x
Second Question;
simple multiplication just multiply the numbers.
10! is pronounced as 10 factorial,
5! will be 5x4x3x2x1=120