All categories

4 years ago

Which of the following equations represents an exponential relationship?

Mathematics

1 answer:

Rina8888 [55]4 years ago

7 0

Answer:

Y = 3x2 because they share exponent X

Step-by-step explanation:

You might be interested in

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BWrite%5C%3Bequations%5C%3Bfor%5C%3Bthe%5C%3Bfollowing...%7D%5C%5C%5C%5C1...%

antiseptic1488 [7]

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

6 0

4 years ago

Read 2 more answers

Hyperloop, a new mode of travel, aims to reach a speed of 170 m/s . This is 50% less than the speed of sound.

mariarad [96]

Answer:

The speed of sound is $340\ m/s$

Step-by-step explanation:

Let

x-----> the speed of sound

we know that

$50\%=50/100=0.50$

$0.50x=170$

solve for x

$x=170/0.50=340\ m/s$

5 0

4 years ago

Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume

Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Sample size : n=41

Sample mean : $\overline{x}=4.0\text{ kg}$

Standard deviation : $\sigma=6.1\text{ kg}$

Then, 99% confidence interval for population mean will be :_

$4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)$

8 0

4 years ago

In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their maj

musickatia [10]

Answer:

a) 0.567

b) (0.5414,0.5926)

c) (0.5364,0.5976)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1007

Number of respondent that they will be able to afford health insurance in the future, x = 571

a) point estimate of the population proportion

$\hat{p} = \displaystyle\frac{x}{n} = \frac{571}{1007} = 0.567$

b) 90% Confidence Interval.

$\hat{p} + z_{\text{critical}}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

Putting values, we get,

$0.567 \pm 1.64\times \sqrt{\dfrac{0.567(1-0.567)}{1007}}\\\\0.567 \pm 0.0256=(0.5414,0.5926)$

c) 95% Confidence Interval.

$\hat{p} + z_{\text{critical}}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting values, we get,

$0.567 \pm 1.96\times \sqrt{\dfrac{0.567(1-0.567)}{1007}}\\\\0.567 \pm 0.0306=(0.5364,0.5976)$

5 0

4 years ago

Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles

Elza [17]

Answer:

The speed of the current is 3 miles per hour

Step-by-step explanation:

The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r

Let x = speed in still water

Let c = speed of the current

The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.

Distance Rate Time

Upstream x − c

Downstream x + c

The distance column with the numbers from the problem and the value for speed in still water for x.

Distance Rate Time

Upstream 4 5 − c

Downstream 16 5 + c

The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time

Upstream 4 5 − c

5 − c

Downstream 16 5 + c

5 + c

“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:

4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3

7 0

3 years ago