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SpyIntel [72]
2 years ago
8

Practice: Activating Prior Knowledge

Mathematics
1 answer:
Elena-2011 [213]2 years ago
4 0
Scientific notation is used to write really large numbers, or really small numbers using less digits. For example: 

1. Earth's distance from the sun 150,000,000 kilometers. We can rewrite this in scientific notation as 1.5 x 10^{8}

2. The length of a skin cell is 0.00003 meters. We can rewrite this in scientific notation as 3.0 x 10^{-5}

3. The world population is about 7,000,000,000. We can rewrite this in scientific notation as 7 x 10^{9}
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Solve 5^2x+1-5^2x=150 with steps
tiny-mole [99]

Answer:

x = 2.98

Step-by-step explanation:

5^2x + 1 - 5^2x = 150

25x + 1 + 25x = 150

50x + 1 = 150

50x = 149

x = 2.98

5^2x + 1 - 5^2x = ?

5^2(2.98) + 1 - 5^2(2.98) = ?

25(2.98) + 1 + 25(2.98) = ?

74.5 + 1 + 74.5 = ?

149 + 1 = ?

150 = ?

4 0
3 years ago
Read 2 more answers
What's the missing sequence of 37 40 123 ? 372 1116 <br>​
erica [24]

Answer:

369

Step-by-step explanation:

37 + 3 = 40

40 × 3 = 120

120 + 3 = 123

123 × 3 = 369

and so on

6 0
2 years ago
Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1
harkovskaia [24]
y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\&#10;y''(0)=20\cdot0^3=0

The value of the second derivative for x=0 is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of 5x^4 is always positive for x\in\mathbb{R}\setminus \{0\}. That means at x=0 there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval [-2,1].
The function y is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

y_{max}=y(1)=1^5-3=-2
4 0
3 years ago
Three times a number plus 12 minus 5 times the same number is 22. what is the number?
saw5 [17]
3n+12-5 x n=22

4n=15


4 0
3 years ago
Read 2 more answers
What is best described as all the points on a plane that are the same distance from a single point called a center?
marin [14]

The <u>circle</u> is best described as all the points  that are the same distance from a single point as its center.

distance between the midpoint and the border of circle are called <u>radius of circle.</u>

because a circle is special type of ellipse

5 0
3 years ago
Read 2 more answers
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