Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by
I would say C seeing that he owes the bank a little more than $10, but im not sure it could also be A. I chose the negative number because if he owes them that would be money coming out of his account.
Hope This Helps!
Answer : 300
30% of 1000 is 300
The value of x in the diagram is 15° and the value of y is 6°
Please find attached the diagram used in answering this question
The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees
The first step is to determine the value of x.
The value of x can be determined using the exterior angle.
The sum of the two interior opposite angles in a triangle is equal to the external angle
(4x - 7)° + 86° = (9x + 4)°
Combine similar terms
9x - 4x = 86 - 7 - 4
5x = 75
x = 15°
To determine the value of y, first substitute for the value of x in the angle (4x - 7)°
(4x - 7)° = (4x15) - 7 = 53°
The sum of angles in a triangle add up to 180°
53° + 86 + (7y - 1) = 180°
add like terms
138 + 7y = 180
7y = 42
y = 6°
To learn more, please check: brainly.com/question/23688688?referrer=searchResults
A) The answer is 9.3 * 10⁷ mi
First, represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10:
93,000,000 mi = 9.3 * 10,000,000 mi
10,000,000 = 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10⁷
93,000,000 mi = 9.3 * 10,000,000 mi = 9.3 * 10⁷ mi
b) The answer is 4 * 10⁻² in
Represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10.
0.04 in = 4 * 0.01 in
0.01 = 10⁻²
0.04 in = 4 * 0.01 in = 4 * 10⁻² in
c) The distance to the sun in inches is 5,892,480,000,000 in
1 mi = 63,360 in
93,000,000 mi = 93,000,000 * 63,360 in = 5,892,480,000,000 in
<span>How many fireflies would it take to reach the sun if they were put end to end:
</span>147,312,000,000,000<span>
x - number of fireflies
x * 0.04 in = </span>5,892,480,000,000 in
x = 5,892,480,000,000 in / 0.04 in
x = 147,312,000,000,000