Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Answer:
<h3>1</h3>
Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
<em>Hence the common ratio of the exponential sequence is 1</em>
The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7
<h3>The dimension of the matrix?</h3>
From the figure in the question, we have the following highlights:
- The matrix has 3 rows
- The matrix has 3 columns
The dimensions of a matrix are represented by: Row by column
Hence, the dimensions of the matrix are 3 by 3
<h3>The indicated element</h3>
This is given as:
a₂₃
This means that the element is located at the second row and the third column.
The element at this position is -7
Hence, the indicated element is -7
Read more about matrix at:
brainly.com/question/2456804
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<h2>
Answer:</h2>
5 3/4 inches
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- It snowed 1 3/8 in the morning
- It snowed 4 3/8 in the morning
<h3>Asked :</h3>
- The total amount of the snowfall
<h3>Solution :</h3>
We can add the amount of snowfall in Belmont in the afternoon and in the morning to find the total amount of snowfall.
4 3/8 + 1 3/8
= (4 + 1) + (3/8 + 3/8)
= 5 + 6/8
= 5 6/8
= 5 3/4
<h3>Conclusion :</h3>
The total amount of snowfall is 5 3/4 inches
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