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Wittaler [7]
3 years ago
7

I'm stuck on a math question. "A submarine is descending to examine the seafloor 2100 feet below the surface. It takes the subma

rine 2 hours to make this descent. Write an equation to represent the relationship between the submarines elevation and time."
Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:

The answer is -1,050.

Step-by-step explanation:

An equation to represent the relationship between the submarines elevation & time would be y=-1,050x. Since we know that in two hours the submarine can reach 2,100 feet below the surface we need to figure out how long the submarine can reach in <em>1 hour</em>. So we do 2,100/2 which equals 1,050. And since the submarine going below, it turns into -1,050.

vodka [1.7K]3 years ago
3 0

Answer:

-1,050

Step-by-step explanation: This is quite simple first we know that 2,100 is negative(-2,100) because it is descending/going down. So now we know that we can divide -2,100 by 2 which sums up to 1,050. But we are going to have to add a negative sign due to the fact that if the two integers you are dividing are opposite signs it would be negative. So if you add a negative sign to 1,050 it would be -1,050. Just to keep in mind that opposites make negative when dividing I will put the integer rules below.

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3x3-27x=0<br> Solve by factoring a
Eddi Din [679]

After factoring 3x^3-27x=0 the solutions are x=0 , x=3, x= -3

Step-by-step explanation:

We need to solve by factoring:

3x^3-27x=0

Solving:

3x^3-27x=0

Taking 3x common:

3x(x^2-9)=0

Now using formula a^2-b^2=(a-b)(a+b)

3x((x)^2-(3)^2)=0\\3x(x-3)(x+3)=0

3x=0\,\,and\,\,x+3=0\,\,and\,\,x-3=0\\x=0\,\,and\,\,x=-3\,\,and\,\,x=3\\

So, After factoring 3x^3-27x=0 the solutions are x=0 , x=3, x= -3

Keywords: Factorization

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What is the length of each segment?<br> Segment AB: from A(-2,1) to B(-2, 5)
White raven [17]

Answer:

length =  \sqrt{ {( - 2 - ( - 2))}^{2} +  {(5 - 1)}^{2}  }  \\  =  \sqrt{16}  \\  = 4 \: units

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3 years ago
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Which eqation is equivalent to 3x + 4y = 15
liubo4ka [24]

Answer:

y=\frac{15-3x}{4}

Step-by-step explanation:

Here we are given an equation in x and y and we are required to solve it for y

we have

3x+4y=15

subtracting 3x from each sides we get

3x-3x+4y=15-3x

4y=15-3x

now we divide both sides by 4 we get

\frac{4y{4}=\frac{15-3x}{4}

y=\frac{15-3x}{4}

Hence A) is our right answer.

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4 years ago
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded annually, how much total will he ha
Inga [223]

Answer:

I think the answer is 1335.88

Step-by-step explanation:

5.2% of 25,690 is 1335.88

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4 years ago
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In a survey of US adults, twenty percent say they never exercise. This is the highest level seen in five years.
Andrews [41]

Answer:

0.20 - 1.96\sqrt{\frac{0.2(1-0.2)}{1000}}=0.175

0.20 + 1.96\sqrt{\frac{0.2(1-0.2)}{1000}}=0.225

The 95% confidence interval would be given by (0.175;0.225)

Step-by-step explanation:

Assuming this question: In a survey of 1000 US adults, twenty percent say they never exercise. This is the highest level seen in five years.1 Find a 95% confidence interval for the proportion of US adults who say they never exercise. Round your answers to three decimal places.

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.20 - 1.96\sqrt{\frac{0.2(1-0.2)}{1000}}=0.175

0.20 + 1.96\sqrt{\frac{0.2(1-0.2)}{1000}}=0.225

The 95% confidence interval would be given by (0.175;0.225)

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