For this case we have the following compound inequality:
11 <7 + 0.25t ≤ 15
We must solve this inequality for time.
We have then:
For 11 <7 + 0.25t:
11 <7 + 0.25t
11 - 7 <0.25t
4 <0.25t
4 / 0.25 <t
16 <t
For 7 + 0.25t ≤ 15:
7 + 0.25t ≤ 15
0.25t ≤ 15 - 7
0.25t ≤ 8
t ≤ 8 / 0.25
t ≤ 32
Therefore, the answer is:
16 <t ≤ 32
Answer:
16 <t ≤ 32
Clara has the desired length in more than 16 weeks, but up to 32 weeks.
You can only add/subtract like terms so:
2a+ab+2b+4a^2-3ab+9
2a-2ab+2b+4a^2+9 (the only like terms were ab and -3ab)
From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.
<h3>How do you determine the maximum side length?</h3>
We are given the following details are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b²
The total surface area is calculated using:
T = L + b²
So, we have:
T = 10b² + b²
Evaluate the sum
T = 11b²
Recall that the maximum surface area is 50,000 square feet
So, we have:
11b² = 50000
Divide both sides by 11
b² = 50000/11
Taking the square root of both sides, we have
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Learn more about square pyramids at:
brainly.com/question/12146629
#SPJ1
Answer:
See explanation
Step-by-step explanation:
There are 14 green, 12 orange and 19 purple tennis balls in the bag,
balls in total.
A. The propbabilities that
a randomly chosen ball from the bag is green 
a randomly chosen ball from the bag is orange 
a randomly chosen ball from the bag is purple 
A probability model for choosing a tennis ball from the bag is
B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear
times
(-9, -1)
(-9,-1) . -1 because that is the y intercept from the equation.
-9 because when you substitute -2 for x, and multiply by 4, you get -8. Then you subtract one, making the x value -9.
Therefore, the ordered pair of the solution is (-9,-1)
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