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4 years ago

Convert 42 fluid ounces to cups. Express your answer in simplest form. a. 336 cups b. 5 2/8 cups c. 5 1/4 cups d. 10 1/4 cups

Mathematics

1 answer:

Mars2501 [29]4 years ago

4 0

Answer:

C. 5.25 cups

Step-by-step explanation:

There are 8 fluid oz in 1 cup. Simply divide 42 by 8 to find you number of cups!

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[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?

mel-nik [20]

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change from x = 0 to x = 2 is given by:

$r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9$

From x = 2 to x = 4, it is given by:

$r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11$

The average of these rates is:

$A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10$

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720

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3 years ago

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3 years ago

What is the degree measure of an angle that measures 4.5 radians

Rzqust [24]

Answer:

257.8°

Step-by-step explanation:

rad × 180/π = °

4.5*180=810

810/π=257.8

5 0

3 years ago

Read 2 more answers

What is negative 1 over 12 - negative 3 over 4

Crazy boy [7]

-1/12 -(-3/4) = 8/12=2/3

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4 years ago

In a certain sequence of all positive terms, {a1, a2, a3, …} each term equals the previous term times a constant factor. If (a1)

andriy [413]

Let $k$ be the constant factor between terms, so that

$a_2=ka_1$

$a_3=ka_2=k^2a_1$

and so on, with

$a_n=ka_{n-1}=\cdots=k^{n-1}a_1$

(notice how the exponent and the subscript add to $n$ )

Then

$a_5=k^4a_1$

so if

$a_1a_5=900$

then

$k^4{a_1}^2=900\implies k^4=\dfrac{900}{{a_1}^2}=\left(\dfrac{30}{a_1}\right)^2\implies k^2=\dfrac{30}{a_1}$

Now,

$a_3=k^2a_1=\dfrac{30a_1}{a_1}=30$

so the third term in the sequence is 30.

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3 years ago