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solniwko [45]
3 years ago
14

Ariana starts with 100 mg of a radioactive substance. The amount of the substance decreases by 20% each week for a number of wee

ks w
Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

bbbbbb

Step-by-step explanation:

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Write an equation of the line that passes through the given point and is perpendicular to the given line (-6,-4); y=1/3x+1
slamgirl [31]

Answer:

y=−3x−22

Step-by-step explanation

To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)

5 0
2 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
suppose you have 192 marbles in groups of 15 marbles each. Find the number of groups of marbles that you have. Write the quotien
stepan [7]
So if you have 192 marbles and you want to group them in groups of 15 marbles each
you would see how many times 15's there are in 192 or how many 192's would go into 15

so 192/15 or 
12 and 12/15
8 0
3 years ago
Read 2 more answers
What is the value of z so that -9 and 9 are both solutions of x^2+z=103?
Ira Lisetskai [31]
The answer is C.
x^2 + z = 103x^2 + 22 = 103*Subtract both sides by 22*x^2 + 22 - 22 = 103 - 22x^2 = 81*square root both sides to find x*√x^2 = <span>√81</span>
<span>x = +- 9</span>
8 0
2 years ago
The points in the table lie on a line. Find the slope of the line. helppp pls and if you can explain how u did it thank you
svetoff [14.1K]
The slope is 2/5
Use these coordinates
(-3,0) & (12,6)
3 0
2 years ago
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