1. a recipe for includes: ½ t cumin 1 1/3 c coconut milk 1 ½ cups tofu ¾ c vegetable stock change the recipe to make ½ the number of servings. write your answers as simplified fractions.

2. a rectangle has an area of 7 7/8 square inches and a length of 3 1/2 inches. the rectangle's width is inches. write your answer as a mixed number in lowest terms.

3. a fence is made up of eight 8 5/7-foot sections. how long is the fence? write your answer as a mixed number in lowest terms. 64 69 feet 837⁄64 inches

4. cynthia spent 3/4 of her time at the gym on the stair machine. she spent a total of 21 3/4 minutes on the stair machine. cynthia was at the gym for minutes. ¾ + 21 ¾ = 22 ½ minutes

5. on monday, ryan jogged 1 ½ miles in ¼ hour. on wednesday he jogged 2 1/3 miles in 1/3 hour. how much farther did ryan jog on wednesday than on monday? write your answer as a simplified fraction.

6. josh is making three recipes. one requires 2/3 cup of flour, another requires 7/8 cup of flour, and the third requires ¾ cup of flour. how much flour will josh use? write your answer as a simplified mixed number.

answer: 1 and 3

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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