7 people are running in a race. If we only care about first, second and third place, how many possible outcomes are there?
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24 cups in how many quarts
What is the slope of -5/8 and goes through the point (2,-3)
Describe the meaning of the rate. 6 days each month A. Something happens 6 days per month. B. Each month is 6 days long. C. Each day is one month long. D. A day happens six times each month.
What is the discriminant of 9x2 + 2 = 10x? a. -356 b.–172 c.28 d. 72
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Answer:
N$ 612.5
Step by step explaination:
Given,
Principal or'P'=N$2500
Time or'n'=3 years & 6 months or 3.5 years
Rate of profit or 'r'=7% or 7/100
Profit or 'I'=?
_____________________________________
We know,
I=P*n*r
I=2500*3.5*7/100
I=612.5
So,simple interest is N$ 612.5.
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P
E
M
D
A
S
do what in parenthesis first
y = 2x + 3?
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m is the slope
b is your yintercept [write it as a point (0,b) ]
Step 1: Plot the y intercept (0,3)
Step 2: Trace slope from yintercept ... go 2 place up them 1 place right you should end up on the point (5,1)
Step 3: Draw a line through the two points
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The volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3.
To find the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis, we can use the disk method. The disk method involves slicing the region into thin disks and adding up their volumes.
The volume of each disk is πr2h, where r is the radius of the disk and h is the thickness of the disk. In this case, the radius of each disk is x and the thickness is dx.
So, the volume of the region is:
V = ∫0ln(3)πx2dx
We can use the power rule for integration to solve this integral:
V = π∫0ln(3)x2dx = π[(x3)/3]0ln(3) = π[(ln(3)3)/3 - (03)/3] = (πln(3)3)/3
Therefore, the volume generated by rotating the region in the first quadrant bounded by y = ex and the x-axis from x = 0 to x = ln(3) about the y-axis is (πln(3)3)/3. This is the exact form of the volume.
To know more about disk method refer here:
brainly.com/question/28184352#
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hope this helps!!!!!!!!!!
A. Batch 2
B. Batch 3
C. Batch 4
D. Batch 5
E. Batch 6
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The only batch of paint that will create the same colors as the first batch is Batch 5. Therefore, the correct answer is D. Batch 5
The first batch of paint has the following proportions of blue, white, and yellow:
Blue: 2 parts
White: 1.5 parts
Yellow: 1 part
In order for another batch of paint to create the same colors, it must have the same proportions of blue, white, and yellow.
Batch 2:
Blue: 5 parts
White: 7 parts
Yellow: 3.5 parts
The proportions of blue, white, and yellow in Batch 2 are not the same as the proportions in the first batch, so Batch 2 will not create the same colors.
Batch 3:
Blue: 2.5 parts
White: 3.5 parts
Yellow: 5.5 parts
The proportions of blue, white, and yellow in Batch 3 are also not the same as the proportions in the first batch, so Batch 3 will not create the same colors.
Batch 4:
Blue: 4.5 parts
White: 32 parts
Yellow: 5 parts
The proportions of blue, white, and yellow in Batch 4 are not the same as the proportions in the first batch, so Batch 4 will not create the same colors.
Batch 5:
Blue: 4 parts
White: 3 parts
Yellow: 2 parts
The proportions of blue, white, and yellow in Batch 5 are the same as the proportions in the first batch, so Batch 5 will create the same colors.
Batch 6:
Blue: 432 parts
White: 1.5 parts
Yellow: 34 parts
The proportions of blue, white, and yellow in Batch 6 are not the same as the proportions in the first batch, so Batch 6 will not create the same colors.
for such more question on proportions
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Answer:
D. Batch 5.
Step-by-step explanation:
The batch should have the same proportion of blue to white to yellow.
In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.
In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.
4 / 2 = 2
3 / 2 = 1.5
2 / 2 = 1
Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.
Hope this helps!