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2 years ago

7

Explain how to use the combined place value strategy to find 223 - 119

1 answer:

kykrilka [37]2 years ago

7 0

223
- 119
---------
104

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Hello, Brainly community!

ioda

Answer:

(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

General Formulas and Concepts:

<u>Calculus</u>

Limits

Derivatives

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Instantaneous Rates

Tangent Line: $\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.

We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:

(A) $\displaystyle \lim_{t \to 3} W(t)$
(B) $\displaystyle \frac{W(3.1) - W(2.9)}{0.2}$

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.

If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.

∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e

8 0

2 years ago

Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

b)

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

5 0

2 years ago

Answer for these :)

spin [16.1K]

Answer:

mAE

It's too short. Write at least 20 characters to explain it well.

3 0

2 years ago

Explain why you cannot factor the trinomial x(to the power of 2)−12x+6

Vladimir [108]

Answer:

See below

Step-by-step explanation:

You cannot find two whole number integers that give a sum of -12 and a product of 6.

-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6

-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6

...and so on...

4 0

1 year ago

Read 2 more answers

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,

Sav [38]

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

6 0

2 years ago