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Sunny_sXe [5.5K]
3 years ago
8

Compare these two numbers which one has a greater value 8.5 x 10^23 or 9.99 x 10^21

Mathematics
1 answer:
Cloud [144]3 years ago
7 0
8.5 x 10^23 is bigger because the bigger the exponent, the larger the number.
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Which solution set describes the solutions to the inequality below?
Nuetrik [128]
<h2>Hello!</h2>

The answer is:

The sixth option,

[-6,6]

<h2>Why?</h2>

To solve the problem, we need to find which of the given options match with the solution to the inequality. As we know, solving inequalities is almost the same that solving equalities, we need to isolate the variable and then, find where it satisfies the given condition (inequality)

So, solving the inequality we have:

-3x^{2} +1\leq -107\\-3x^{2}\leq -107-1\\-3x^{2} \leq -108\\3x^{2} \leq 108\\x^{2} \leq \frac{108}{3}\\\sqrt{x^{2} } \leq \sqrt{36}\\ x^{2\leq } +-36\\(x-6)(x+6)\leq 0

Therefore, we have that the solutions to the inequality are:

First solution:

x-6\leq 0\\x\leq 6

Second solution:

x+6\leq 0\\x\leq-6

Hence, the correct option is the sixth option, the solution is described by the following solution set :

[-6,6]

Have a nice day!

7 0
3 years ago
Simplify the expression. Write your answer as a power.
Masja [62]

Answer:

this is your answer

{9}^{4}

4 0
2 years ago
Read 2 more answers
Evaluate the following expression. 1/5^-2 <br> Evaluate 6^-3
Marizza181 [45]
1/5^-2 = 5^2 so this equals

 = 25
7 0
3 years ago
Read 2 more answers
. How are the formulas for the circumference of a circle and area of a circle derived?
kakasveta [241]
They can be derived by using calculus(integration to be precise)

\pi= \frac{circumference }{diameter}(its how pi is defined)
so that gives circumference

to get area , you use integration of an elemental ring of radius r and thickness dr and integrate itA= \int\limits^0_r {2 \pi r} \, dr

that gives the area.

if you don't know calculus yet ,dont worry, just remember the formulae.


5 0
3 years ago
In Ms. Perron’s class, 25% of the class are boys. There are 6 boys in the class. What is the total number of students in Ms. Per
Effectus [21]

Answer:

24

Step-by-step explanation:

25%= 1/4 of the class

1/4 *x=6

x=24

4 0
3 years ago
Read 2 more answers
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