Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16}
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.
Write an equation of a line that has a slope of 3/4and passes through point (8,7)
Help plsssjsnsnsnsnndndndndnfnfnfnnffnnccnncncncnfnf
9514 1404 393
Answer:
A) 3x +10y = 36
Step-by-step explanation:
The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...
x-intercept = 36/a
Then the coefficient 'a' is ...
a = 36/(x-intercept) = 36/12 = 3
Only one answer choice has an x-coefficient of 3 -- the correct one.
3x +10y = 36
How many solutions does this equation have? 3(2x − 7) = 3 Part B: What are the solutions to this equation? Show your work
CAN SOMEBODY HELP IM GIVING 12 POINTS
Find the volume of the composite solid.
4 ft
3 ft
6 ft
13
6 ft
Answer:
156 ft³
Step-by-step explanation:
Volume of the composite solid = volume of the square prism + volume of the square pyramid
Volume of rectangular prism = a²h
a = 6 ft
h = 3 ft
Volume = 6²*3 = 36*3
Volume = 108 ft³
Volume of square pyramid = ⅓(a²*h)
a = 6 ft
h = 4 ft
Volume = ⅓(6²*4) = ⅓(36*4)
Volume = 48 ft³
Volume of the composite solid = 108 + 48 = 156 ft³
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that [tex]p = 0.25[/tex]
879 challenges
This meas that [tex]n = 879[/tex]
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209[/tex]
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
[tex]E(X) = np = 879*0.25 = 219.75[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84[/tex]
[tex]219.75 + 2.5*12.84 = 251.85 > 231[/tex]
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Solve for a.
−10 = 1/5 a
Solve for n.
3(n – 8) = -12
Solve for x.
8 + 4x = -16
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:
part 2 of the word problem
Algebraic Equation:
please with all equations show your work.
Step-by-step explanation:
for the first one multiply the equation by 5
5(-10)=5(1/5)a
-50=a
2. 3(n-8)=-12
divide the equation by 3
(3(n-8))/3=-12/3
(n-8)=-4
add 8 to both sides
n-8+8=-4+8
n=4
3. 8+4x=-16
subtract the whole equation by 8
-8+4x=-16-8
4x=-24
divide the equation by 4
4x/4=-24/4
x=-6
4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10
and since there is only one hamburger you just need to find the value for the one burger which is x.
4(2.50)+1(x)=14.30
10+x=14.30
subtract the equation by 10
10-10+x=14.30-10
x=4.30
Hope this helps :)
Answer:
thanks Thankyou for points ty ty
Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problems that are due by tomorrow. 4th grade
Please answer this :/
Answer:
-60
Step-by-step explanation:
-45+s=-105
s=-105+45
s=-60
If you answer I’ll reward brainiest it’s easy
Answer:
1/9 of the total bag is chocolate
Help! I’ll reward brainest its pretty easy
Answer:B
Step-by-step explanation: looks like you got it right don’t second guess yourself.
Answer:
30yi terillion 9billion 8mil only
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
please answer !! will give brainliest
Answer:
7.10 I think its 7.10
A store sold 6 fruit trees. Five of the trees were apple trees.
What fraction of the trees were apple trees?
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 12
Step-by-step explanation:
There are 108 inches in 9 feet and then you divide 108 by 9
which pint on the number line best represents the squat root of 10
Answer:
e is ya answer hope you have a blessed day
Step-by-step explanation:
Six friends go to lunch and the total cost of lunch is $41.12. After using a $5 coupon to reduce the bill, the friends split the cost of lunch evenly. How much does each friend owe?
A $6.20
B $6.02
C $6.85
Answer:
6.02
Step-by-step explanation:
(41.12 - 5) / 6
= 6.02
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Answer:
7()=11
8()=42
I could barely see the answer for number 9 sorry :(
Step-by-step explanation:
the 7() is 2(3)+5
2(3)=6
6+5=11
Question (8)
c^2+3a x b
c(6)^2+ 3(3) x 2/3
36+9 x 2/3
36+6=42
Answer:
(7)=11
(8)=42
Step-by-step explanation:
here
what is the answer for this math problem ^
Answer: 12
Step-by-step explanation:
Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, find the number of miles he would bike in 1 hour.
A. 5/8 miles
B. 2 3/4 miles
C. 5 miles
D. 10 miles
Answer: 10
Step-by-step explanation:
2.5 times 4
Find the perimeter of the figure to the nearest hundredth. due today
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36.57
Explanation:
6x4 = 24
3.14(2)^2 = 12.56
12.57+24=36.57
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
After traveling 70 m in its dive, the submarine is at a depth of 25 m. What will the submarine’s depth be if it continues its dive for another 110 m? (NOTE: The total length of the dive is MORE than 110m!)
Answer:
Total Depth: 64.28m
Step-by-step explanation:
Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m
70min <=======> 25 m
110min <=======> x m
(110 * 25) / 70 = x
2750 / 70 = x
39.28 = x
We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.
39.28m + 25m = 64.28m
I need help please help
Answer:
132.67 ft^2
Step-by-step explanation:
this sector's area equals the area of the whole circle divided by four;
the whole are = r x r x 3.14 = 13 x 13 x 3.14 = 530.66
the sector's area = 530.66/4 = 132.67 ft^2
I will mark u brainalist
Answer:
C
Step-by-step explanation:
The cost of 5 notebooks (5x)
Less than (<)
The cost of 3 notebooks (3x)
Plus a 2 dollar pen (2)
All together: 5x < 3x + 2
Matches with the given expression.
Q1. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Pythagorean Identity)
Q2. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Trignometric Identity)
Step-by-step explanation:
[tex]sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} [/tex]
Hope it will help :)❤
Please find the square roots of the following complex number.
[tex]z = 81(\cos(\frac{4\pi}{9})+i\sin(\frac{4\pi}{9}))[/tex]
Hey there,
First, find the square root of the given equation.
[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]
Keep in mind that this is solved for k = 0 and 1.
Second, simplify.
[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]
Best of Luck!
Can y’all help me on question four?!
Answer:
I believe the answer is B
Step-by-step explanation:
Work for E and F- 20/50=20X2=40 40 divided by 100 is 40%
50X2=100 and 40/100
A line has a slope of 2 and y-intercept of -3/4 . Which if the following is an equation of the line ?
Answer: y = 2x - 3/4
Step-by-step explanation:
y = mx + b where m is the slope, and b is the y-intercept.
y = 2x - 3/4