Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing x units of a certain product is:
[tex]C(x)=x^2-15x+34[/tex]
We want to find the number of units manufactured at a cost of $8350. Therefore:
[tex]8350=x^2-15x+34[/tex]
Subtract 8350 from both sides:
[tex]x^2-15x-8316=0[/tex]
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -15, and c = -8316. Thus:
[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]
Therefore, our solutions are:
[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles
Answer:
B
Step-by-step explanation:
Remark
I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.
I'll try the cos law first.
Formula
c^2 = a^2 + b^2 - 2abcos(C)
Givens
c = 24
a = 18
b = ?
Solution
24^2 = 18^2 + b^2 - 2*18*b*cos(94)
576 = 324 + b^2 - 36*b*(-0.0698)
0 = 324 - 576 + b^2 + 2.511b
0 = b^2 + 2.511 - 252
Using the quadratic formula, the roots are
b1 = 14.66
b2 = - 17.11
The second one has no meaning in the real world.
Answer
the distance is 14.66 miles from Chaplin to Asherville
Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.
Answer:
14.7
Step-by-step explanation:
got 100% on plato
Help plz
(8 x 1,000) + (6 x 100)+(2x10)+(4x1)+(3x1/100) as a decimal
Answer:
8624.03
Step-by-step explanation:
Answer:
8624.03
Step-by-step explanation:
Alright, lets simplify.
8 x 1000 is 8000
6 x 100 is 600
2 x 10 is 20
4 x 1 is 4
3 x 1/100 is 3/100 or 0.03
if we add them all up, we get 8624.03
Solve 3y^3 + 12y^2 + 12y =0
Please
Answer:
y = 0, -2
Step-by-step explanation:
Factor out the common term 3y.
[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]
Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.
[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]
Use square sum: (a + b)² = a² + 2ab + b².
[tex]3y(y + 2) ^{2} = 0[/tex]
solve for y.
y = 0, -2.
therefor, the answer for this equation is 0, - 2.
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Solve the following polynomial equation by grouping and factoring. 4y^3 – 9y=0 Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. y =
Answer:3/2
Step-by-step explanation:
determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a solution no, it is not a solution
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
is 6.7 and 6.40 equal?
Answer:
no
Step-by-step explanation:
Zero is Soo's miserly number. It won't give the number four
I already know the answer but ima check and see.
PLEASE HELP I DONT UNDERSTAND THIS AND ITS DUE TODAY *10 POINTS*
Answer:
third side = 7
Step-by-step explanation:
x² = 9² - (4√2)² = 81 - 32 = 49
x = √49 = 7
what is the radius of 34.54
Answer:
If 34.54 is the diameter then 17.27 is the radius
Step-by-step explanation:
34.54 ÷ 2 = 17.27
I WILL MARK BRAINLY HELP ME PLEASE! :)
Answer:
1. right
2. acute
3. obtuse
4. obtuse
5. acute
6. acute
7. scalene
8. scalene
9. isosceles
10. equilateral
11. scalene
12. isosceles
Step-by-step explanation:
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ2
if the third term is 1,000 and the second term is 100 what is the first term
Answer:
may be 10
Step-by-step explanation:
as 1000/10=100
therefore
100/10=10
One week Carlos bought 2 packages of dog bones and 4 packages of cat treats for $18.50. Because the finicky cats didn’t like the cat treats, the next week Carlos returned 3 unopened packages of cat treats and bought 2 more packages of dog bones. After being refunded for the cat treats, Carlos only had to pay $1.00 for his purchase. Based on this information, figure out the price of each item. Explain your reasoning.
Answer:
1 package of dog bones = 4.875
1 package of cat treats = 2.1875
Step-by-step explanation:
you add the $1 to the 18.50 = 19.50 these are the amount of money for 4 bags of dog food. you take away all the dog food(4) from it = 8.75 divide by 4 for the 4 bags of cat food= 2.1875
sorry I'm very bad at explaining you can put it in your own words
Answer:
Not an answer but OMG
Step-by-step explanation:
I love the Whitty profile pic :)
Jimmy pays 30% of his salary to tax before all other deductions. Jimmy fortnightly gross salary is 2,500. what is Jimmy's fortnightly net salary after tax?
Answer:
1750
Step-by-step explanation:
So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750
Classify the expression: −2x
Answer:
linear expressions is the answer
Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)
Answer:
all you did multiply it
Step-by-step explanation:
what is the answer?
8 x 1/2 = ______
Answer:
4
Step-by-step explanation:
Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.
8 × 1/2 = 4!
Calculation steps:
8 ×
1
2
= 8 ×
1
2
=
8 × 1
1 × 2
=
8
2
=
8 ÷ 2
2 ÷ 2
= 4
Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
Answer:
33 girls
Step-by-step explanation:
This is the answer because:
1) 3/4 of 44 is 33 because 1/2 of 44 is 11
a) 11 x 3 = 33
Hope this helps! :)
Answer:
33 girls
Step-by-step explanation:
44/4= 11
11x3=33
plz mark me as brainliest.
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
Factor this expression. 4 x - 16
plz help for a brianly
Answer:
Heyyyyy! Help with what?
Step-by-step explanation:
Let me know :)
Have a nice day <3
What is the value of 5x - 3y if x=5 and y= -1?
Answer and Step-by-step explanation:
To solve, we have to plug in the x and y values given to us into the equation.
5(5) - 3(-1)
Simplify
25 - -3
The negatives cancel each other, leading to becoming positive.
25 + 3
Add
28
The value of the expression with the given values for x and y is 28.
#teamtrees #PAW (Plant And Water)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
hope this helps (if it does can i have brainliest, please??)
Step-by-step explanation:
I believe that is <KLJ and <MLJ
Answer:
KLJ and MLJ
Step-by-step explanation:
Supplemenatry angles add up to 180 degrees. Since these two angles form a straight line, it can be assumed that they add up to 180 degrees. Hope it helps :)
Select the graph that represents the given set. (Click on the graph until the correct one is showing.)
E = {(6, 2), (7, 3), (6, -1), (5, 4)}
Answer:
Hi! The answer is in the pic below!!
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
12239.32=6000(1.02)³⁶
Answer:
That's false
Step-by-step explanation:
6000(1.02)³⁶ = 2.1 × 10¹³⁶
Plsss help mark brain list
Answer:
59
Step-by-step explanation:
360 - ( 156 + 86 ) = 118
118 / 2 = 59
please answer faster then I will mark you branliest
Answer:
4. The strength of class V is 300
5. Meenakshi bought a TV for Rc 46,000
Step-by-step explanation:
4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.
5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.
Conce
Unknown to a medical researcher, 9 out of 20 patients have a heart problem that will result in death if they receive the test drug. 8 patients are randomly selected to
receive the drug and the rest receive a placebo. What is the probability that exactly 6 patients will die? Express your answer as a fraction or a decimal number rounded to
four decimal places.
Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
In this question, we have that:
20 patients means that [tex]N = 20[/tex]
Sample of 8 means that [tex]n = 8[/tex]
9 have the heart problem, so [tex]k = 9[/tex]
What is the probability that exactly 6 patients will die?
This is P(X = 6).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,20,8,9) = \frac{C_{9,6}*C_{11,2}}{C_{20,8}} = 0.0367[/tex]
0.0367 = 3.67% probability that exactly 6 patients will die