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1 year ago

If it is 78F in Memphis and -14F in Juneau, what is the temperature difference between the two cities?

Mathematics

1 answer:

Feliz [49]1 year ago

5 0

<h3>Solving Steps</h3>

Formulate

Based on the given conditions, formulate:

78 - (-14)

Calculate

78 - (-14)

Determine the sign

78 +14

Calculate

SO THE ANSWER IS 92

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

Each table in a library can seat up to 6 people. There are

Alexxx [7]

Answer:

total people = 96

people per table = 6

96/6=16

7 0

2 years ago

Read 2 more answers

The slope of the line below is -2. Which of the following is the point-slope form of the line?

madreJ [45]

Answer: the answer should be D

Step-by-step explanation:

6 0

2 years ago

What is the answer for number six?

Anna71 [15]

I believe x is 0 because if we assume y and x are 0 then 0=0 and 0= 5 x 0

6 0

2 years ago

Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.

antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

4 0

3 years ago