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julsineya [31]
3 years ago
9

Solve with solution...no spam answers pls

Mathematics
2 answers:
Agata [3.3K]3 years ago
6 0
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
</span>
This step is perfectly fine. 

In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

In Step 3, \dfrac{d}{dx} (8x)  was rewritten as \dfrac{d}{dx}(8) \dfrac{d}{dx}(x) supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, \dfrac{d}{dx}(8x)&#10; should be rewritten as 8 \dfrac{d}{dx}(x) and not as \dfrac{d}{dx}(8)\dfrac{d}{dx}(x).  

<span>Therefore, Hannah made a mistake in this step.</span>
djverab [1.8K]3 years ago
6 0
Step 3, it should have been 8*d/dx(x) which leads to

Step 4 = 8*1  which leads to

Step 5 = 8
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Solve the equation. 6x - 3 (x+8) = 9
spin [16.1K]

Answer:

x=11

Step-by-step explanation:

6x-3(x+8)=9

Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.

Check:

66-3*19=9

66-57 does in fact equal 9.

3 0
3 years ago
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The answer of this question
ella [17]

Answer: Yes, it would be biased. If David asked the question about movies, however, it would not be.

Step-by-step explanation: It would be biased because he is asking listeners to his show who send fan mail. Fan mail is typically only sent by people who enjoy the creator. Therefor, he would be surveying only people who enjoy his podcast so the results would be heavily biased.  I am unsure about how the second part of the question relates to the first part. If David were to ask the same 100 individuals about their favorite movies rather than whether or not they liked his podcast, it would not contain biased results because he or his podcast does not have anything to do with movies. :)

7 0
3 years ago
A survey was conducted that asked 1004 people how many books they had read in the past year. Results indicated that x overbarequ
melisa1 [442]

Answer:

Step-by-step explanation:

Given that a survey was conducted that asked 1004 people how many books they had read in the past year.

Results are:

x bar =12.5

s = 16.6

n = 1004

Std error of sample = \frac{s}{\sqrt{n-1} } =\frac{16.6}{\sqrt{1003} }\\=0.524152\\=0.524

Since population std dev is not known t critical value can be used for confidence interval.

df = 1004-1 =1003

t critical = 1.96

Margin of error = 1.96(std error) =1.027

Confidence interval lower bound = 12.5-1.027 = 11.473

Upper bound = 12.5+1.027 = 13.527

6 0
3 years ago
Describe a time when you use math outside of school ( pls I need help with this writing prompt)
Serga [27]

Answer:

Counting my money

Step-by-step explanation:

3 0
3 years ago
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A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. Th
kkurt [141]

The width of the pool is 10 feet.

<h3>What is area of rectangle?</h3>

The area of rectangle is product of length and breadth.

Let the width be x.

length = 24 + 2x. and breadth =  12 + 2x

We know, area= 1408 ft².

(12 + 2x)(24 + 2x) = 1408

12*24 + 12*2x + 24*2x + (2x)² = 1408

288 + 72x + 4x² = 1408

4x² + 72x + 288 - 1408 = 0

4x² + 72x - 1120 = 0

x² + 18x - 280 = 0

x² - 10x + 28x - 280 = 0

x(x - 10) + 28(x - 10) = 0

(x - 10)(x + 28) = 0

So, x=10, -28.

Hence, the width be 10 feet.

Learn more about this concept here:

brainly.com/question/26638297

#SPJ1

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