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USPshnik [31]
3 years ago
6

In a study what are participants who receive the treatment called

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

e

Step-by-step explanation:

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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
The sum of 4 consecutive integers is 354.<br> What is the second number in this sequence?
Ulleksa [173]

354 / 4 = 88.5

 so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =


2nd number is 88

8 0
3 years ago
Find the arc length of the partial circle. <br>length is 1.<br>**See attached photo**<br>​
KatRina [158]

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)

                 $=2 \times 3.14  \times 1\left(\frac{90^\circ}{360^\circ}\right)

                $=2 \times 3.14  \times 1\left(\frac{1}{4}\right)

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

5 0
3 years ago
Which of the following are valid names for the given triangle? check all that apply
Sliva [168]
B, C, and D. you name a triangle with the corners, not the sides.
6 0
3 years ago
Read 2 more answers
If the original function () = 22 − 1 is shifted to the left 3 units to make the
Rom4ik [11]

A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

If k is positive, the function is translated to the left. If k is negative, the function is translated to the right.

So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

4 0
3 years ago
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