Answer: 233.19
Step-by-step explanation:
equation to find volume: width x length x height
the left box:
(14-7) x 3.25 x 3.25= 73.9375 (round after adding)
the right box:
7 x 3.25 x 7= 159.25
73.9375 + 159.25= 233.1875
Round to nearest hundredth: 233.19
Answer: $70 per year.
Step-by-step explanation:
Let's say that x is the number of years that has passed and y is how much the stamp is worth.
So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .
Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)
To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.
420 - 980 = -560
0-8 = -8
-560/-8 = 70
The rate of change is 70 which means that it grew by $70 every year.
The linear function for the number of trimmers assembled is:
y = 7 + 4x.
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A linear function has the following format:
In which:
- a is the rate of change.
- b is the fixed amount.
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- In an earlier shift, 7 trimmers had already been produced, thus 7 is the fixed amount, that is,
. - Diane assembles 4 trimmers per hour, thus the rate of change is 4, that is,
- The <u>amount of trimmers y produced after x hours</u> is given by:
A similar problem is given at brainly.com/question/16302622
Y = kx, where k is the constant of proportionality.
We need to find k as our first step.
35 = k140
35/140 = k
1/4 = k
We can now find y when x = 70.
y = kx
y = (1/4)(70)
y = 70/4
This fraction can be simplified or reduced more.
The number 2 is the GCF of 70 and 4.
70 ÷ 2 = 35
4 ÷ 2 = 2
Answer:
y = 35/2
Answer:
c = 2
Step-by-step explanation:
Substitute x = 1 + i into the equation
(1 + i)² - 2(1 + i) + c = 0 ← distribute left side
1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )
1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left
- 2 + c = 0 ( add 2 to both sides )
c = 2
