Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
7x^2 + 14x - 12
Step-by-step explanation:
Add like terms:
(4x + 8x - 5) + (3x2 + 6x - 7) becomes:
4x^2 + 8x - 5 or (grouping like terms in columns):
+ 3x^2 + 6x - 7
---------------------
7x^2 + 14x - 12
We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
25.5% is your answer i believe
The measure of the indicated angle to the nearest degrees is 23 degrees.
<h3>How to find angle of a right angle triangle?</h3>
The angle of a right angle triangle can be found as follows:
Therefore, the angle can be found using trigonometric ratios as follows;
cos ∅ = adjacent / hypotenuse
Therefore,
adjacent side = 35 units
hypotenuse side = 38 units
Hence,
cos ∅ = 35 / 38
∅ = cos⁻¹ 0.92105263157
∅ = 22.9272842944
∅ ≈ 23 degrees.
learn more on triangle here: brainly.com/question/20759265
#SPJ1
