Answer:
Step-by-step explanation:
Add 20 to both sides:
Multiply 8 on both sides:
Divide by 13 on both sides:
65.45%
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Hope this helps you
Answer:
68
Step-by-step explanation:
A P E X
The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.
In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.
Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.
Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.
Answer:
20 cm
Step-by-step explanation:
An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides
For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32
or 6 *32
= 192 cm
Next, we'll calculate the perimeter of the smaller hexagon
Since their perimeters are in the ratio 8: 5
Let x represent the perimeter of the smaller hexagon
This gives;
8 : 5 = 192 : x
change to fraction
8/5 = 192 /x
cross multiply
8x = 192*5
8x = 960
Divide both sides by the coefficient if x which is 8
x = 120 cm
Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon
120/6
20 cm
Therefore, the length of the corresponding smaller hexagon is 20 cm
