The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. -4(x - 3)2 - 29; The maximum height of the water is 3 feet.
-4(x - 3)2 - 29; The maximum height of the water is 29feet.
-4(x - 3)2 + 7; The maximum height of the water is 7 feet.
-4(x - 3)2 + 7; The maximum height of the water is 3 feet.
Answers
yo use 'find vertex' equestion
since leading term is negative, this equation has a max
the vertex is the max
in the form
y=ax^2+bx+c
vertex=-b/2a
-4x^2+24x-29
a=-4
b=24
vertex=-24/(2*-4)=-24/-8=3
max height is 3 feet
dunno wat the compete square is
I can do that fo ou though
move -29 off to side and undistriute -4
-4(x^2-6x)-29
complete the square, take 1/2 of -6 an square it andadd 0
-4(x^2-6x+9-9)-29
complete square
-4((x-3)^2-9)-29
move the 9 out by distributing the -9 to the -4
36
-4(x-3)^2+36-29
-4(x-3)^2+7
answer is 3rd option
Answer: The correct answer for this question is option...
(C) −4(x − 3)2 + 7; The maximum height of the water is 7 feet.
Hope this helps :)
Have a great day!!
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The area of a sector of the circle with an arc measure of 45 degree and with a radius of 4 is?
Answers
Answer:the correct answer is A) 0.59.
To find the margin of error at a 95% confidence level, we can use the formula:
Margin of Error = Critical Value * Standard Deviation
First, let's find the critical value. Since we are working with a 95% confidence level, we can use a z-score table to find the corresponding critical value.
For a 95% confidence level, the critical value is approximately 1.96.
Next, we need to find the standard deviation. In this case, the standard deviation is represented by "s" which is given as 3.
Now we can calculate the margin of error:
Margin of Error = 1.96 * 3 = 5.88
Rounding this to two decimal places, the margin of error is approximately 5.88.
Therefore, the correct answer is A) 0.59.
Final answer:
The margin of error for a 95% confidence interval with a sample size of 24 and a standard deviation of 3 is approximately 1.2 (or 1.23 when rounding up to the next available answer). This is calculated using the formula M = Z * (s/√n), where M is the margin of error, Z is the z-score, s denotes standard deviation, and n represents the sample size.
Explanation:
The formula for calculating the margin of error at a 95% confidence level is M = Z * (s/√n), where M is the margin of error, Z is the z-score, s is the standard deviation, and n is the sample size.
Since we're finding the margin of error for the 95% confidence level, we use a z-score of 1.96: the value that corresponds to 95% confidence in a standard normal distribution. In your case, n=24, s=3, and z=1.96. Thus, the margin of error is M = 1.96 * (3/√24).
After performing the arithmetic, you'll find that the margin of error, rounded to two decimal places, is approximately 1.2 (1.21 to be more accurate). Thus, the closest answer is B) 1.23.
Learn more about Margin of Error here:
#SPJ11
Answers
if youre a mathematician
if you have to pay taxes and bills
if your have to loan something
2. Calculating measures for your job
3. Measuring for cooking 2.5 (2/5) sugar.
4. If you were a teacher teaching a class :D
Answers
cos5x + cos3x = 2cos4x.cosx
so
= tan4x
Answers
Answer:
A
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = base × height
given base = 140 cm and height = 9.7 cm , then
A = 140 × 9.7 = 1358 cm²
Answers
$15.38+$6.25+$12.04= 33.67 roughly