Answer:
20%
Step-by-step explanation:
In the graph, there is a cycle of increasing and decreasing. First, the original circle increases by 25% into the new, larger circle. Then, the circle does back to its original size. So, to solve we can assign a value to the smaller circle, increase it by 25%, and then find what percentage brings this back to the original value.
It is easiest to assign the value of 100 because it is easy to work with. So, let's say the smaller circle is 100; this increased by 25% is 125. The next step is to find what percentage of 125 brings us back to 100. There are multiple ways to do this such as guess and check or proportions/fractions. Either way, the correct percentage is 20%. If you decrease 125 by 20% you get the correct value of 100. This means that the missing number must be 20%.
Answer:
The correct length is <em>34 feet</em>.
Step-by-step explanation:
Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.
We know that opposite sides of a rectangle are equal.
<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.
Here, from the figure, the perimeter is : AB + BC + CD + DA
AB and CD are equal to length.
BC and DA are equal to width.
So,
Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet
Putting values in equation (1):
Hence, length is 34 feet.
Answer:
hello your question has a missing diagram attached below is the missing diagram
answer :
Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )
Step-by-step explanation:
when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it
Answer:
3 1/4
Step-by-step explanation:
1) Convert 6 1/2 into a fraction and add it to 1/2.
6 -> 12/2
12/2 + 1/2 = 13/2
2) Divide the result by 2 (or multiple the result by the reciprocal of 2)
13/2 x 1/2 = 13/4 or 3 1/4
Hope this helped ^^
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
