Find the stationary points.
f(x) = x + 16/x
f '(x) = 1 - 16/x ²
Solve f '(x) = 0.
1 - 16/x ² = 0 → x ² = 16 → (x - 4) (x + 4) = 0
→ x = -4, x = 4
Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.
f (4) = 8
Check the value of f at the boundary of the domain.
f (0.2) = 401/5 = 80.2
f (16) = 17
Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.
Find the length of side x in simplest radical form with a rational denominator.
Answer:
3
Step-by-step explanation:
The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?
Answer:
3 teams and 29students in each team.
let, the team be x,y,&z
given all the team r equal so, x=y=z
x+y+z=87
3x=87
x=87/3
x=29
we get, x=y=z=29
hope it helps.
ASAP I WILL GIVE 100 POINTS AND BRAINIEST ASAP
Find the length of the model train.
Answer:
It would be 7.5 inches.
Hope this helped!!
Choose the function whose graph is given below.
A. y = sec X
O B. y = tan x
O C. y = CSC X
O D. y = cotx
Answer: B. y = tan x
Step-by-step explanation:
The function whose graph is show below will be tan x. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The secant of angle x is not defined, for some value of x. Then the domain of the sec x will be
Domain = R – (2n + 1) π/2
But the graph of the sec x looks like U. Then it is incorrect.
The tangent of angle x is not defined, for some value of x. Then the domain of the tan x will be
Domain = R – (2n + 1)π/2
Then it is correct.
The co-secant of angle x is not defined, for some value of x. Then the domain of the csc x will be
Domain = R – nπ
Then it is incorrect.
The co-tangent of angle x is not defined, for some value of x. Then the domain of the cot x will be
Domain = R – nπ
Then it is incorrect.
Then the correct option is B.
More about the trigonometry link is given below.
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sum of the age of son and his father is60 and the six year ago the age of father is five time the son what is the age son ?
Step-by-step explanation:
...hope it help u.... ..
At the end of the first day three of the cricketers scored these runs 28, 61 and 39
The man adds them together and the total score is 128
But his friend checks his calculation by using approximation
Show how the friend used approximation to check the calculation
Answer:
His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.
In a certain tropical forest, litter (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let f(t) be the amount of litter (in grams per square centimeter) present at time t. Find a differential equation satisfied by f(t).
Answer:
df(t)/dt = 10 - 0.8f(t)
Step-by-step explanation:
The net rate of change, df(t)/dt = rate in - rate out
The rate in = rate litter forms on ground = 10 g/cm²/yr
Since f(t) is the amount of litter present at time, t, in g/cm² the rate out = rate of decomposition = the percentage rate × f(t) = 80% per year × f(t) = 0.8f(t) g/cm²/yr
Since df(t)/dt = rate in - rate out
df(t)/dt = 10 - 0.8f(t)
So the desired differential equation is
df(t)/dt = 10 - 0.8f(t)
Hi hi dude I just don’t want to play anymore I just don’t want to play
9514 1404 393
Answer:
equation: 8 = v + 5solution: v = 3Step-by-step explanation:
The green line is shown as having a length of 8.
The black line is shown as having two parts that add up to the total length of the black line: v + 5.
The problem statement tells you these are the same length. An equation that says they are equal is ...
8 = v + 5
__
This is solved by subtracting 5 from both sides of the equation.
8 -5 = v +5 -5
Combining like terms gives ...
3 = v
The solution is v = 3.
Which intervals are most appropriate for a histogram
displaying the mileage ratings?
The list shows the mileage rating (in mpg) for some 2019
vehicles with all-wheel or four-wheel drive.
11, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18,
18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21,
21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24,
24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29,
30, 31, 32, 33, 34
O 0-15, 15-30, 30-45
O 0–20, 20-40, 40-60
O 10-15, 15-20, 20-25, 25-30, 30-35
O 0-5,5–10, 10-15, 15-20, 25-25, 25-30
Answer:
C. 10–15, 15–20, 20–25, 25–30, 30–35
Step-by-step explanation:
Find the measurement of KL (round your answer to the nearest one hundredth. Which theorem did you use?
Using the Pythagorean theorem:
KL = sqrt( 8^2 + 5^2)
KL = sqrt( 64 + 25)
KL = sqrt(89)
KL = 9.43
The answer is 9.43
multipy the expreshions (2h+2.7) (2h-27)
Answer:
[tex]4h^2-48.6h-72.9[/tex]
Step-by-step explanation:
[tex](2h+2.7) (2h-27)\\4h^2-54h+5.4h-72.9\\4h^2-48.6h-72.9[/tex]
There is 12 inches in a whole hole how many inches is in a half of a hole?
Answer:
6 is hoing to be your answer
Answer:
6in
Step-by-step explanation:
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
D, 261
Step-by-step explanation:
Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.
Hope this helps! If it did, please give brainliest! It would help a lot! :D
Answer:
261
Step-by-step explanation:
If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.
There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.
Let's use that fact on the answers first:
281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9
273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9
261 -> 2 + 6 + 1 -> 9; divisible by 9
Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.
To know why this method works, note that a number ABC is equal to:
100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)
And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.
Find each missing measure.
Answer:
∠x = 32°
∠y = 58°
∠z = 32°
Step-by-step explanation:
∠x = 180° - 148° = 32°
∠z = 32° because it is vertical to ∠X (32°)
∠y = 90° - 32° = 58°
Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight
Answer:
4 3/8 lbs.
..................
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.
We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.
Therefore, we can set up an equation:
x + y = 8 3/4
where x is the weight of one bag of flour, and y is the weight of the other bag of flour.
We can simplify 8 3/4 to 35/4, so the equation becomes:
x + y = 35/4
We can solve for one variable in terms of the other:
x = 35/4 - y
Now we can substitute this expression for x into the original equation and solve for y:
x + y = 35/4
(35/4 - y) + y = 35/4
35/4 = 35/4
This equation is true for any value of y.
Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.
Thus,
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
Learn more about expressions here:
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The set of negative energy is greater than -7
Answer:
i don't have lesion kau you forever i am sorry
Step-by-step explanation:
your browser to mo Lego house of blues festival
2.75 round to the nearest hundreth
Answer:
Its already rounded. Rounded to tenths place would be 2.8
Step-by-step explanation:
5 or higher makes you round up. if its a 4 or lower it would stay the same.
For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.
(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?
Forty people used a popular weight loss program. The mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than o lb. Use Table A-3 to find the range of values for the P-value.
Answer:
P-value < 0.005
Step-by-step explanation:
just took it
Please help I will give brainliest
Answer:
i cant see the picture with the question
Step-by-step explanation:
i cant see, sorry
Among all pairs of numbers whose difference is 6, find a pair whose product is as small as possible. What is the minimum produc The pair of numbers whose difference is 6 and whose product is as small as possible is ?
Answer:
pairs of numbers is 3,-3
Step-by-step explanation:
The computation is shown below:
Let us assume a and b are the pairs of the numbers whose difference is 6
i.e.
a - b = 6
a = 6 + b
So
f = ab
f = (6 + b)b is minimum
Now
d ÷ db (6+ b)b = 0
(6+ b) + b = 0
2b = -6
b = -3
Now
a = 6 + b
= 3
So pairs of numbers is 3,-3
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answer:
8? I think I'm not quite sure. lmk
Anybody know whats 0x0?
Answer: I think it’s uhh I think it’s uhh i think it’s uh carrot
Step-by-step explanation:
Answer: 0
anything times 0 is 0
PEASE HELP DUE IN 5 MINUTES I WILL MARK YOU BRAINLIST
Find the area of a regular hexagon with side length of 3 ft. Round your answer to the nearest tenth
7.8 ft2
11.7 ft2
23.4 ft2
40.5 ft2
23.4 ft2
Step-by-step explanation:
jvuctctctcrxrxrxrxrxr
20 10
40
30.
15
40
70
25
20
30
100
40
50
I need these three, I’ll give brainliest
A. E+17-1=2x. b. R0 + x=12 C. 13= x-1+15+10-1 divided by 10=24
hope this helps!!
and I hope you understand it lol!
If Sheyenne walked 8 miles in 2 hours what was her speed?
Answer:
4 miles per hour
Step-by-step explanation:
Answer:
4mph
Step-by-step explanation:
8 divided by 2 and boom the answer.Hope this helps.
An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.
Write an expression that can be used to find the cost in dollars for b bags including shipping.
Answer:
b=21x+8
Step-by-step explanation:
she sell bags 21 dollars for every bag(x) and they only add 8 dollars 1 time
An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 8 IQ points of the true mean. Determine the required sample size using the TI-83/84. The required sample size is________
Answer:
The required sample size is 35.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Determine the required sample size.
The required sample size is n, which is found when [tex]M = 8[/tex]
The standard deviation of 24 means that [tex]\sigma = 24[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]8 = 1.96\frac{24}{\sqrt{n}}[/tex]
[tex]8\sqrt{n} = 1.96*24[/tex]
Simplifying both sides by 8
[tex]\sqrt{n} = 1.96*3[/tex]
[tex](\sqrt{n})^2 = (1.96*3)^2[/tex]
[tex]n = 34.6[/tex]
Rounding up:
The required sample size is 35.
Which statement about +- 3 - 7 = 3 is true?
X=-4 is an extraneous solution.
X X=-4 is a true solution.
x = 4 is an extraneous solution
x = 4 is a true solution.
Answer is in the picturee