Answer:
Total distance mouse traveled in 3 hours = 
of a mile
The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.
So, the distance traveled in one hour will be = 
of a mile
The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.
Correct conclusion will be: Mouse travel 1/24 of a mile each hour
So far she scored 11 out of 15, which is a chance of 11/15, which is also the experimental probability for her next throw.
The answer to this question would be:
<span>The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
</span>
In this problem, there are 9,000 bees and the amount is decreased 5% each year. Decreased 5% would be same as become (100%-5%=)95% each year. Then the function should be like:
f(x)= 9,000 * 95%^ x= 9,000 * 0.95^x
If you put X=2 and X=4 the result would be:
<span>f(2) = 9,000* (0.95)^2= 8122.5 (round up to tenth will be 8120)
</span>f(4) = 9,000* (0.95)^4= 7330.5
Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:
The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.
Answer:
3x - 6
Step-by-step explanation:
Segment YB = x + 3
Segment BW = 2x - 9
Add the two segments.
x + 3 + 2x - 9
3x - 6
The diagonal YW is 3x - 6 units long.
