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Snezhnost [94]
3 years ago
14

What's the difference between 5.4 x 10-7 and 7.1 x 10-8? Express your answer

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

.76 x 10 or 7.6 x 10^0

Step-by-step explanation:

divide coefficients and subtract exponents

5.4 / 7.1 = .76

10^-7 / 10^-8 = 10

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Determine the equation of a line that passrs through the point (4,-1) and also parallel to y=3x+4
nexus9112 [7]
First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).

-1 = 3(4) +b
-1 = 12 + b Subtract 12 to both sides.
-13 = b

Now, put your m and b into y=mx+b.

The final answer/equation of your line is:

y=3x -13
5 0
3 years ago
Complete the sentence below with less than,
Gekata [30.6K]

Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

8 0
3 years ago
Read 2 more answers
What is the unit rate for 5 notebooks that cost $9.45
harkovskaia [24]
Divide $9.45 into 5 yr answer would be $1.89 per notebook
3 0
3 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
How would you simplify the expression represented by the diagram below?
luda_lava [24]
6 + 3c is the correct answer
3 0
3 years ago
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