If x=1
1/3x = 1/3
3x = 3
If x=2
1/3x=2/3
3x=6
If x=3
1/3x=1
3x=9
If x=4
1/3x=1 1/3
3x+12
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
The formula
in solving the integral of the infinity of 3 is ∫3<span>∞?</span>(1<span>)÷((</span>x−2<span><span>)<span><span>(3/</span><span>2)</span></span></span>)</span><span>dx</span>
Substitute the numbers given
then solve
limn→inf∫3n(1/((n−2)(3/2))dn
limn→inf[−2/(n−2−−−−−√)−(−2/3−2−−−−√)
=0+2=2
Solve for the integral of 2 when 2 is approximate to 0.
Transpose 2 from the other side to make it -2
∫∞3(x−2)−3/2dx=(x−2)−1/2−1/2+C
(x−2)−1/2=1x−2−−−−√
0−(3−2)−1/2−1/2=2
<span> </span>
Answer: choice B, 40.5 degrees
The triangle is isosceles based on the fact that AC = BC (the tick marks are the same). The angles opposite the congruent sides are also congruent
angle A = angle B = x for some unknown number x
The three angles A,B,C add to 180, so,
A+B+C = 180
x+x+99 = 180
2x+99 = 180
2x = 180-99
2x = 81
x = 81/2
x = 40.5
So angle A and angle B are both 40.5 degrees
Check:
A+B+C = 180
40.5+40.5+99 = 180
180 = 180 answer is confirmed
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Edit
The sides with the two tick marks are the same length, so 7x-4 is the same as length as 31
7x-4 = 31
7x = 31+4
7x = 35
x = 35/7
x = 5
Answer is choice B) 5
Answer:
meters.
Step-by-step explanation:
We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.
We are also given a table of data as:
Time (minutes) Altitude (meters)
6 -20.4
9 -27.6
12 -34.8
First of all, we will find Mr. Mole's digging rate using slope formula and given information as:
, where,
represents difference of two y-coordinates,
represents difference of two corresponding x-coordinates of y-coordinates.
Let 
be 
and 
be 
.
Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.
, where,
m = Slope,
b = The initial value or the y-intercept.
Upon substituting and coordinates of point , we will get:
Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is meters.
