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3 years ago

Cheyenne is playing a board game. Her score was - 130 at the start of her turn, and at the end of her turn

Mathematics

1 answer:

Svet_ta [14]3 years ago

6 0

Answer: -245

Step-by-step explanation: The reason is because if you add -245 to -130 you will get her present score which is -375.

-245 + (-130)

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How do i do this problem 0.25(x+4)-3=28

KiRa [710]

Distribute the .25 to get .25x + 1 - 3 = 28

Then simplify to get .25x - 2 = 28

Move the two to the right to get .25x = 30

Then divide to leave x: 30 / .25 = 120

X = 120

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Carlos collects 26 stamps. Adam collects 38 more than Carlos. How many stamps do they have all together?

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Answer:

90 stamps

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3 years ago

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

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

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

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

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3 years ago