The student would have 8 $5 bills and 7 $1 bills because 5*8=40 and 7*1=7 and adding them together makes 47! Hope that helps!
A), e), and g) are the correct answers
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.
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>
Answer: C, D
Step-by-step explanation:
31 - use the Pythagorean theorem to find the distance
a = 45
b = 28
plug in values
c = 53
answer choice C
32 - non linear functions are functions that aren't straight. if a function has anything besides a constant or an x variable to the power of 1, it is not linear
A - this is linear because -18 is a constant
B - this is linear because it only contains constants and an x variable to the power of 1
C - this is linear because it only contains an x variable to the power of 1
D - this is not linear because the x variable is on the bottom of the fraction, so x is to a power of -1
answer choice D
