Step-by-step explanation:
1. C = the graphing is slowly increasing, then he walks across the top so it is flat
2. D = it started out slow and gradually got higher, which is what the story said
3. H = he had to stop walking, and there is a part of no movement in the graph H
4.
Answer:
The magnitude of the necessary lifting force is 7.95N
Step-by-step explanation:
Force = mv^2/r
mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m
Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N
Answer:
<u>Option B</u>
Step-by-step explanation:
The question is as following:

Step Work Justification
1 2x + 6x − 4 = 12
2 8x − 4 = 12
3 8x = 16
4 x = 2
Which of the following has all of the correct justifications Wyatt used to solve this equation?
A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.
D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality
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<u>The answer:</u>
Step Work Justification
multiply both sides by 2
1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}
{Combine like terms}
2) 8x − 4 = 12 ⇒
Adding 4 both sides
3) 8x = 16 ⇒ {Addition property of equality}
divide both sides by 8
4) x = 2 ⇒ {Division property of equality}
The answer is option B
(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:

Step-by-step explanation:
Let
x -----> the number of days
y ----> the number of minutes Yuson has left
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
In this problem we have
The slope is equal to
----> is negative because is a decreasing function
----> initial value
substitute the values
