Given the equation 1/4(2)^x find the average rate of change between f(2) and f(5)

Answers

Answer 1

Answer: Given the function

$f(x)=(1)/(4)\,2^(x)$

The average rate between $f(2)$ and $f(5)$ is

$\left.(\Delta f)/(\Delta x)\right|_(x=2\to 5)=(f(5)-f(2))/(5-2)\n \n \n =((1)/(4)\cdot 2^(5)-(1)/(4)\cdot 2^(2))/(5-2)\n \n \n =((1)/(4)\cdot (2^(5)-2^(2)))/(3)\n \n \n =((1)/(4)\cdot (32-4))/(3)\n \n \n =((1)/(4)\cdot (28))/(3)\n \n \n =(7)/(3)$

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Round 245.675 to the nearest tenth

Answers

the answer is 245.7 since 7 is larger than 5 you round up

when the whole is the same why does it take 4 copies of one tenth to equal 2 copies of one fifth draw a model to support your answer

Answers

well 4 copies of one tenth will equal 4 tenths. so when u simplify 4 over ten (4/10 )and divide the top and bottom by the common factor which is 2 then you will get 2 fifths because 4 divided by 2 is 2 and 10 divided by 2 is 5.

The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milke is $7.50. How much does 1 muffin and 1 quart of milk cost?

Answers

Let x equal the cost of one muffin and y equal the cost of quart of milk
8x+2y=18
3x+y=7.50

See if you can solve it from there. If not let me know

Answer:

1 muffin = $1.50

1 quart of milk = $3

Show math equation of 5x + 6x equation

Answers

$5x + 6x = x(5 + 6) = x(11) = \boxed{11x}$

Answer:

11x

Step-by-step explanation:

You just combine the like terms in this case which is 11x because you do 5x + 6x it is like terms so just combine them and there is your answer!

Sammy drinks 1/3 of the milk carton, Tikki drinks 5/12 of the milk carton, and Georgia drinks 1/6 of the milk carton. What fraction of the carton of milk is left over?

Answers

1/3 of the milk carton+ 5/12 of the milk carton+ 1/6 of the milk carton
= (4+5+2)/12 of the milk carton (common denominator).
= 11/12 of the milk carton.

Sammy, Tikki, and Georgia totally drink 11/12 of the milk carton.

1 milk carton- 11/12 of the milk carton
= 12/12 of the milk carton- 11/12 of the milk carton
= 1/12 of the milk carton.

There is 1/12 of the milk carton left over, so the final answer is 1/12 of the milk carton.

Hope this helps~

First we need to make all the fractions have the same denominator so our denominator is going to be 12 so 1/3=4/12
5/12 we are going to leave it untouched because it already has a denominator of 12 and 1/6=2/12 so
4/12+5/12+2/12=11/12
Now you are going to subtract 12/12-11/12 because 12/12 represents a whole so 12/12-11/12=1/12 so you have 1/12 of the milk left

Hasan wants to make an art design with an area of 50 square centimeters. If he males his design on centimeter grid paper,how many squares would the design cover? Tell how you know.

Answers

50 squares.

If Hasan is using a centimeter grid paper, then 50cm² means 50 little 1cm² squares :)

i am pretty sure the answer is 50
i really hope i heled you out in some type of way :)

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So i just realized that i asked the same question. pooey. Help!