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aleksklad [387]

4 years ago

10

Which relation describes a function? What makes it a function?

1 answer:

rewona [7]4 years ago

5 0

Answer:

It D

Step-by-step explanation:

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Aricela is trying to estimate the distance between her house and the park. On a map with a scale of 0.5 in. = 2 miles, the dista

zepelin [54]

It looks like answer choice A is correct

7 0

4 years ago

Mathew is watching a car race on TV. His favorite car covered 10 laps of 3.6 miles each in 18 minutes. What is average speed of

Karo-lina-s [1.5K]

In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
   = 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
   = 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
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8 0

3 years ago

Hank's pickup can travel 64 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 32 miles?

PtichkaEL [24]

2 gallons... dude just divide by 2, are you sure this is high school math?

3 0

4 years ago

Read 2 more answers

Calculus= Integrate 5^x dx please break down how answer is 1/6x^6+C

aleksley [76]

Answer:

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

Step-by-step explanation:

Note that the integral of $5^x$ is not $\frac{1}{6}x^6 + c$

The solution is as follows:

Given

$5^x$

Required

Integrate

Represent the given expression using integral notation

$\int\limits {5^x} \, dx$

This question can't be solved directly;

We'll make use of exponential rules which states;

$\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$

By comparing $\int\limits {5^x} \, dx$ with $\int\limits {a^x} \, dx$ ;

we can substitute 5 for a;

Hence, the expression $\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$ becomes

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

-------------------------------------------------------------------------------------

However, the integral of $x^5$ is $\frac{1}{6}x^6 + c$

This is shown below:

Given that $x^5$

Applying power rule;

Power rule states that

$\int\limits{x^n}\ dx = \frac{x^{n+1}}{n+1} + c$

In this case ( $x^5$ ), n = 5;

So, $\int\limits{x^n}\ dx= \frac{x^{n+1}}{n+1} + c$

becomes

$\int\limits{x^5}\ dx = \frac{x^{5+1}}{5+1} + c$

$\int\limits{x^5}\ dx = \frac{x^{6}}{6} + c$

$\int\limits{x^5}\ dx= \frac{x^{6}}{6} + c$

4 0

4 years ago

The 16th term of an A.P. is 40 and the sum of the first 5 terms is 5. Find the sum of the first 50 terms.

KiRa [710]

Answer:

The sum of first 50 terms is 3425.

Step-by-step explanation:

Let the first tem of A.P be 'a' and it's common difference be 'd'

Thus the 16th term of the A.P is given by

$T_n=a+(n-1)d\\\\40=a+15d..........(i)$

Now we know that the sum of first 'n' terms of the A.P is given by

$S_n=\frac{n}{2}[2a+(n-1)d]\\\\5=\frac{5}{2}[2a+4d]\\\\1=a+2d..........(ii)$

Solving equation 'i' and 'ii' simultaneously we get

$40=1-2d+15d\\\\13d=39\\\\\therefore d=3$

Thus $a=1-2\times 3=-5$

Thus the sum of first 50 terms euals

$S_{50}=\frac{50}{2}[2\times -5+(50-1)3]\\\\S_{50}=3425.$

7 0

3 years ago

Read 2 more answers