So a triangle angles must add up to 180. You would subtract 180 by the two known angle which are 90 and 30. Then if you subtract them you would get 60. The final answer is 60
Answer:
The horizontal asymptote for the function f(x) is 1/2
Step-by-step explanation:
<u>We were given the function</u>

which could be <u>simplified</u> as

this means that the function is a constant of value 1/2 for all value of x.
Then, in particular, <u>the value of f will be 1/2 for x when x tends to infinite and minus infinite</u>.
And because to find the horizontal asymptote of a function we have to calculate the limit of the function when x tends to infinite or minus infinite, we can ensure that <em>this asymptote has also the value 1/2 of f</em>.
Complete question:
Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?
Answer:
Here,
Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)
We are also told only 10 participants are available.
All 10 participants are being exposed to all five levels of the color variable in the same order.
Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.
Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.
But using counterbalancing technique, Dr. Lyte can avoid such an error.
Explanation:
The line through the data points has a negative slope, showing that y is <em>negatively correlated</em> with x. The "inversely proportional" relationship means the product of x and y is a constant. It produces a curved graph like the one attached.
Answer:
5652
Step-by-step explanation:
Hi there! Let's solve this problem together.
Formula for finding volume in pi: V = pi × radius squared × height
Our height is 18, and our radius is 10. Now, let's calculate.
3.14 x 10 squared (100) = 314.
314 multiplied by 18 is 5,652.
The answer is 5652. I hope this helps you!