Answer:
2
Step-by-step explanation:
Trust me
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuation. Centerville is located at ( 10 , 0 ) in the x y -plane, Springfield is at ( 0 , 5 ) , and Shelbyville is at ( 0 , − 5 ) . The cable runs from Centerville to some point ( x , 0 ) on the x -axis where it splits into two branches going to Springfield and Shelbyville. Find the location ( x , 0 ) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.
To solve this problem we need to minimize the following function of x : f ( x ) =
We find that f ( x ) has a critical number at x =
To verify that f ( x ) has a minimum at this critical number we compute the second derivative f ' ' ( x ) and find that its value at the critical number is ,
a positive number. Thus the minimum length of cable needed is
Answer:
hi i dont understand this
Step-by-step explanation:
sorry
The function will be
[tex]f(x) = 9 - x + \sqrt[2]{ {x}^{2} + 9} [/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
How to solve this problem?The steps are as follow:
[tex]f(x) = (9 - x) + \sqrt[2]{ (x^2 + 3^2) } \\ =(9 - x) + \sqrt[2]{ (x^2 +9)} \\ f(x) = \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 \\ f(x) = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9}} = 1 \\ 2x = \sqrt{ {x}^{2} + 9} \\ 4{x}^{2} = { x}^{2} + 9 \\ 3 {x}^{2} = 9 \\ {x} = \sqrt{3} [/tex]
so putting value of in f(x) we will get
[tex]f( \sqrt{3} ) = 9 - \sqrt{3} + \sqrt[2]{ { (\sqrt{3} )}^{2} + 9} \\ = 9 + 2 \sqrt{3} [/tex]
So The function will be
[tex]f(x) = 9 + \sqrt[2]{ {x}^{2} + 9}[/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
Learn more about functions here:
https://brainly.com/question/2833285
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8 cm
3 cm
4 cm
7 cm
4 cm
9 cm
3 cm
Answer:
area of the figure=(1/2×22/7×12²)+(12×4)+(8×3)
=226.28+48+24
=298.28
Complete the comparison : 17>?
Answer:
17>16
Step-by-step explanation:
Answer:
17 is greater than or (>) than any number lower than 17 :)
Step-by-step explanation:
For example, 17>16.. 17> 15, or 17> 14...ect.
Hope this helps! :)
Have a nice day <3
o
What is the factored form of 2x3 + 4x2 - x?
A. 2x(x2+2x+1)
B. x{2x2 +4x+1)
C. 2x(x2+2x-1)
D. x(2x² + 4x - 1)
Answer:
D .
Sorry if i'm wrong.
[tex]x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x[/tex]
Periodic grab some phase shifts
Answer:
The sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
Step-by-step explanation:
We need to recall that a sine function can write as:
[tex]y(x)=Asin[B(x+C)]+D[/tex]
Where:
A is the amplitude of the functionB is the periodC is the phase shift leftD is the vertical shiftSo we just need to use the listed attributes
Therefore, the sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
I hope it helps you!
Find the area of the figure.
= m
(simplify your answer)
A number increased by 20% of the number result is 11. What is the number?
Answer:
9.167
Step-by-step explanation:
120% is 11
100% is x
[tex]\frac{11*100}{120} \\\\= \frac{110}{12}\\[/tex]
≅ 9.167
WO-Step Equations Pra
Solve each equation.
1) 3+ 5r=-47
Answer:
r=-10 Hope this helps! If I could have brainliest I'm trying to level to level up.
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5r=−47
Step 1: Simplify both sides of the equation.
5r+3=−47
Step 2: Subtract 3 from both sides.
5r+3−3=−47−3
5r=−50
Step 3: Divide both sides by 5.
5r/5=-50/5
r=−10
Answer:
r=−10
HELPP ASAP PLSS I’ll mark brainliest!!!
Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
A triangle has a base of (x+9) feet and a height of (4x+4). The expression below represents the area of the triangle.
12(x+9)(4x+4)
Which of the following choices represents the simplified form of the expression above?
Select one:
A. 4x2+36x+36
B. 2x2+80x+18
C. 2x2+18x−18
D. 2x2+20x+18
Answer:
I think the answer would be B
Step-by-step explanation:
Because we multiply, distribute and combine like terms
HELPP!! I report wrong answers!!
Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of the loan? What is Jean’s approximate total cost? What is Jean’s approximate monthly paymen
Answer:
$5760
Step-by-step explanation:
12000 × 8 × .06 = 5760
Help me out thanks u !!!
Answer:
116
Step-by-step explanation:
All angles will add up to 360°
So just do 360 -55 -79 -110 = 116
Answer:
The answer is 116 because the sum of angles in a quadrilateral is 360 degrees.
solve the equation for the value of x; 8x + 12 = 52.
a) x = 12
b) x = -5
c) x = 5
d) x = 52
Answer:
5
Step-by-step explanation:
8x + 12 = 52
move constant to right
8x=52-12
subtract numbers
8x=40
divide both sides
x=5
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
A quantity with an initial value of 450 grows exponentially at a rate of 0.4% every 10
years. What is the value of the quantity after 96 years, to the nearest hundredth?
Answer:
467.58
Step-by-step explanation:
Grows 0.4% --> r = .004
Grows every 10 years: exponent of t/10
where t is in years
Write a function:
f(t) = 450(1+0.004)^t/10
96 years means no time conversion is needed due to years being the only unit in the problem
T = 96
f(96) = 450(1+0.004)^96/10
= 467.580247756
≈467.58
youre welcome y'all
19.214÷13
pls someone help me
Answer:
1.478
Step-by-step explanation:
A simple random sample of 50 undergraduates at Colby College found that 60% of those sampled felt that cheating was a problem among college students. A simple random sample of 50 undergraduates at Penn State University found that 70% felt that was cheating a problem among college students. The number of undergraduates at Colby College is approximately 1800; the number at Penn State is approximately 39,000.We conclude that:_________.
A) the sample from Colby College has much less sampling variability than that from Penn State.
B) the sample from Colby College has much more sampling variability than that from Penn State.
C) the sample from Colby College has almost the same sampling variability as that from Penn State.
D) it is impossible to make any statements about the sampling variability of the two samples because the students surveyed were different.
Answer:
A
Step-by-step explanation:
Please help me with the question
Answer:
4(7+y) and 4·7+4·y
Step-by-step explanation:
4(7+y)= 28+4y
4·7+4·y= 28+4y
Plz help ................
Answer:
D. g(x) = 2-x^2
Step-by-step explanation:
g(x) seems to be a vertical translation of f(x).
f(x) = 5-x^2
g(x) = 5-x^2-3 (subtract 3 as a translation down 3 units)
g(x) = 2-x^2
4. Show the expanded notation for 2c + 5c
Answer:
Is the question really expanded notation
12. What is the perimeter of triangle ABC to
the nearest whole number?
A
19.5
49°
B
40°
C
Step-by-step explanation:
61.945
62the perimeter of triangle ABC to
the nearest whole number
What’s the answer to 7x when x=8 I need help please
Answer:
56
Step-by-step explanation:
7x8=56
Step-by-step explanation:
7(8)
= 56
use tye substitution property
Pls help I’m failing I need a good grade
The answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
common denominator: 48
Step-by-step explanation:
common denominator: 8x6=48
1/8 = 6/48
1/6= 8/48
13) A certain radioactive isotope decays at a rate of 0.1% annually. Determine the half-life of this isotope, to the
nearest year.
C) 301 yr
D) 500 yr
A) 7 yr
B) 693 yr
Answer:
se__xxxx cha_t
Step-by-step explanation:
aaah aaaah
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $480 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed with mean $480 and standard deviation $20.
This means that [tex]\mu = 480, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 480}{20}[/tex]
[tex]X - 480 = 1.645*20[/tex]
[tex]X = 512.9[/tex]
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
sketch a graph of the relation y=cos^-1x
a triangle has angles that measure 50 degrees and 50 degrees what is the measure lf the third angle?
Answer:
80
Step-by-step explanation:
the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80