A smoothie recipe calls for 3 cups of soy milk, 2 frozen bananas and, 1 tablespoon of chocolate syrup. Write a sentence that uses a ratio to describe this recipe.

Answers

Answer 1

Answer:

Answer:

3:2:1

Step-by-step explanation:

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2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x) = 6x (b) f(x) = 12x – 2 (c) f(x) = kx² for k a constant

Answers

Answer:

a) $f'(x)=6$

b) $f'(x)=12$

c) $f'(x)=2kx$

Step-by-step explanation:

To find : From the definition of the derivative find the derivative for each of the following functions ?

Solution :

Definition of the derivative is

$f'(x)= \lim_(h \to 0)((f(x+h)-f(x))/(h))$

Applying in the functions,

a) $f(x)=6x$

$f'(x)= \lim_(h \to 0)((6(x+h)-6x)/(h))$

$f'(x)= \lim_(h \to 0)((6x+6h-6x)/(h))$

$f'(x)= \lim_(h \to 0)((6h)/(h))$

$f'(x)=6$

b) $f(x)=12x-2$

$f'(x)= \lim_(h \to 0)((12(x+h)-2-(12x-2))/(h))$

$f'(x)= \lim_(h \to 0)((12x+12h-2-12x+2)/(h))$

$f'(x)= \lim_(h \to 0)((12h)/(h))$

$f'(x)=12$

c) $f(x)=kx^2$ for k a constant

$f'(x)= \lim_(h \to 0)((k(x+h)^2-kx^2)/(h))$

$f'(x)= \lim_(h \to 0)((k(x^2+h^2+2xh-kx^2))/(h))$

$f'(x)= \lim_(h \to 0)((kx^2+kh^2+2kxh-kx^2)/(h))$

$f'(x)= \lim_(h \to 0)((h(kh+2kx))/(h))$

$f'(x)= \lim_(h \to 0)(kh+2kx)$

$f'(x)=2kx$

emanuel played a game where he got a point if he drew s red marble out of a bag and flipped a coin that landed on heads. what is the probability that he will get a point on his first turn

Answers

Answer:

30%

Step-by-step explanation:

Q #...10 somebody help me

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The slope of a line can be found, given two points, as follows:

$P_(1)(-5.5,6.1) \n \n P_(2)(-2.5,3.1) \n \n m=(y_(2)-y_(1))/(x_(2)-x_(1)) \n \n m=(3.1-6.1)/(-2.5-(-5.5))=-1$

So this slope tells us the direction of a line and represents the vertical change divided by the horizontal change.

It is -1, at least thats what i got i hope this helped

1) Uma pessoa saiu de casa indo as compras com R$240,00 na carteira, sendo que gastou no supermercado 2/3 deste valor, em seguida gastou 14 do que havia sobrado na farmácia. Em uma parada no açougue, deixou mais 72 do que lhe havia sobrado. Após estas despesas qual o valor que lhe havia sobrado. Após estas despesas qual o valor restante na carteira dessa pessoa? A)R$ 40,00 B)R$ 30,00 C)R$ 20,00 D)R$ 1000 E)R$ 5,00

Answers

Answer:

The remaining amount in the person's wallet is $30.

Step-by-step explanation:

We are given that a person left the house to go shopping with $240.00 in his wallet, and he spent 2/3 of this amount in the supermarket, then spent 1/4 of what was left in the pharmacy. At a stop at the butcher shop, he left 1/2 than he had left.

And we have to find the remaining money in the wallet after making all these above expenses.

At the starting, the amount of money in the person's wallet = $240

Amount of money spent in the supermarket = $(2)/(3) \text{ of } \$240$

= $(2)/(3) * 240$

= $2 * 80$ = $160

So, now the amount of money left with him = $240 - $160

= $80

Amount of money spent in the pharmacy = $(1)/(4) \text{ of } \$80$

= $(1)/(4) * 80$ = $20

So, now the amount of money left with him = $80 - $20

= $60

Now, Amount of money spent at the butcher shop = $(1)/(2) \text{ of } \$60$

= $(1)/(2) * 60$ = $30

So, now the amount of money left with him = $60 - $30

= $30

Hence, the amount of money remaining in the person's wallet is $30.

The owner of a small machine shop has just lost one of his largest customers. The solution to his problem,he says, is to fire three machinists to balance his workforce with his current level of business. The owner says that it is a simple problem with a simple solution. The three machinists disagree. Why

Answers

Answer:

It may look simple to the owner because he is not the one losing a job. For the three machinists it represents a major event with major consequences

You are to take a multiple-choice exam consisting of 100 questions with 5 possible responses to each question. Suppose that you have not studied and so must guess (select one of the five answers in a completely random fashion) on each question. Let x represent the number of correct responses on the test. (a) What is your expected score on the exam? (Hint: Your expected score is the mean value of the x distribution.) (b) Compute the variance and standard deviation of x. Variance = Standard deviation =

Answers

Answer:

a) 20

b) Variance 16, standard deviation 4

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you do not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$