my granola bar recipe calls for 8 2/3ups of pecans and 4 1/3 cups of walnuts. How many cups of nuts are needed in the recipe?

True [87]

1/2 as 3 out of the 6 are checkered

Hope I helped!

3 0

2 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

Step-by-step explanation:

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

3 years ago

An orange grove produces a profit of $ 100 per tree when there are 1300 trees planted. Because of overcrowding, the profit per

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

(x) = (1100 + x) (100 - .05(x-1100))

This is a quadratic, graphs as a parabola that opens downward. A maximum cam be found.

The zeros of the function are

(1100 + x) = 0 ..... or ..... [100 - .05(x-1100)] = 0

x = -1100 is the left x-intercept.

[100 - .05(x-1100)] = 0

100 = .05(x-1100)

2000 = x - 1100

x = 3100 is the right intercept.

Maximization of profits is at the mid point of the zeros (x-intercepts)

(3100 + -1100)/2 = 1000

1100 + 1000 = 2100 trees should be planted to maximize profits.

f(x) = (1100 + 1000) (100 - .05(1000-1100))

f(x) = (2000) (105) = 220,500 is the maximum profit.

I hope this helps!

4 0

3 years ago

|-4| - 8 + 10 = ??? answer for points

Elis [28]

Answer:

6

Step-by-step explanation:

As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).

To help, here is an example (that is not related to the problem!):

|-6| = 6

|6| = 6

Now, back to the problem...

Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:

4 - 8 + 10 = ???

From here, you can just solve and the answer is 6, so:

4 - 8 + 10 = 6

You final answer is 6.

Hope this helped somehow :D

4 0

3 years ago

Read 2 more answers

Can someone help me answe this last quiz thank you

nlexa [21]

Answer:

225

Step-by-step explanation:

5^2 * 3^2

(5 * 5) * (3 * 3)

25 * 9

225

6 0

3 years ago

Read 2 more answers