Find the slope of the line that passes through (4, 7) and (10, 6).

A point P is moving along the curve whose equation is y = \sqrt x . Suppose that x is increasing at the rate of 4 units/s when x

Mice21 [21]

Answer:3 units/s

Step-by-step explanation:

Given

$y=\sqrt{x}$

Point P lie on this curve so any general point on curve can be written as $(x,\sqrt{x})$

and $\frac{\mathrm{d} x}{\mathrm{d} t}=4 units/s$

Distance between Point P and (2,0)

$P=\sqrt{(x-2)^2+(\sqrt{x}-0)^2}$

P at x=3 P=2

rate at which distance is changing is

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{\mathrm{d} \sqrt{(x-2)^2+(\sqrt{x}-0)^2}}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2x-3}{\sqrt{(x-2)^2+(\sqrt{x}-0)^2}}\times \frac{\mathrm{d} x}{\mathrm{d} t}$

$\frac{\mathrm{d} P}{\mathrm{d} t}=\frac{2\times 3-3}{2\times 2}\times 4=3 units/s$

8 0

2 years ago

Which of the following mixed numbers has a value between 10/3 and11/3

Paraphin [41]

The answer would be A

6 0

3 years ago

Read 2 more answers

Please help me answer this, I don't get what I'm supposed to do TvT

kompoz [17]

Answer:

You save 86 cents per pound.

Step-by-step explanation:

According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:

To find the unit price of any item, do the following calculation:

Total Price / Total amount = $$$ per amount.

The unit price of store b is $\frac{38.20}{5}=7.64$ . In other words, every pound of chicken costs $7.64 at store b.

For store a, we are provided with a table. Given how the question is being asked, we should <u>expect a higher unit price</u>. We can take any charge to find the unit price since the price should be consistent no matter how many pounds you buy. I will calculate the first row:

$\frac{12.75}{1.5}=8.5$

In other words, every pound of chicken costs $8.50 at store a. <u>This price is higher</u>. You can verify this is the correct unit price by multiplying the unit price with any amount of pounds provided at the table. You should get the total cost.

So, now that we have both unit prices, we can calculate the difference to find out how much we save per pound when choosing store b:

8.50-7.64=0.86.

6 0

2 years ago

The weights of cars passing over a bridge have a mean of 3,550 pounds and

Dovator [93]

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean = 3550

standard deviation, = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0

1 year ago

Need asap for a test !! Which of these tables represents a function?

Dominik [7]

We can’t see the tables unless you upload a picture :)

8 0

2 years ago