Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing
to
, we see that:



We need to evaluate the following to find the t-coordinate of the vertex:




So now to find the correspond h(t)-coordinate, we will need to replace t in
with 1:





Question:
The question is incomplete. The display technology was not given. Find below the complete question and the answers.
Display from technology:
Hypothesis Test Results
μ : Mean of variable
H₀ : μ=2.7 miles
HA : μ >2.7 miles
Variable Sample Mean Std. Err. DF T-Stat P-value
Length 3.23601 0.285185 499 2.230166 0.0131
Step-by-step explanation:
From the result obtained, we have;
Null hypothesis: H₀ : μ=2.7 miles
Alternative hypothesis: HA : μ >2.7 miles
Test statistics = 2.230166
P-value = 0.0131
Significant level: α = 0.05
Since the P value is less than the significance level, we can reject the null hypothesis.
There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles
<span>121.98 114 + 7%= 121.98
that is your answer</span>
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
This problem is an Arithmetic Sequence
where
the first term is 
and
the common difference is 
In general we can write an Arithmetic Sequence as a rule

where
a1 is the first term
d is the common difference
so

<u>Find the term a7</u>
![an=a1+d*(n-1)\\ \\ a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\ a7=11](https://tex.z-dn.net/?f=%20an%3Da1%2Bd%2A%28n-1%29%5C%5C%20%5C%5C%20%20a7%3D23%2B%28-2%29%2A%5B7-1%5D%5C%5C%20%5C%5C%5C%5C%20a7%3D23-12%5C%5C%20%5C%5C%5C%5C%20%20%20%20a7%3D11%20%20%20%20%20)
therefore
<u>the answer is</u>

Answer:
Possible values of dimensions are (24,16,2) or (24,8,4)
Step-by-step explanation:
We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.
Let us say that the width is x and height is y
Length = 24
Volume of a cuboid = length * width * height
Volume = 768
768=24*x*y

xy=32
Now the possible factors of 32
32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)
32=2*16
32=4*8
Hence the possible values width are 8, 16 and that of height 4 and 2
Hence the possible values of dimensions are (24,16,2) or (24,8,4)