a = 2t+32=c
b= 2*10=20+32=52oz of coffee
I think this is right
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation:
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
brainly.com/question/25471478
what is the place value of 2 in 842567
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
two and twenty-seven hundredths
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
X/2-1/5=x/3+1/4
Plz I need fast
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?
Answer:
On which body part a temporal lobe is placed?
answer-
behind the ears
The square root of 81 is?
answer-
9
Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22
Answer:
B
Step-by-step explanation:
Equal ratios can be found by multiplying/ dividing the parts by the same value.
A
1 : 6 ( multiply both parts by 3 )
= 3 : 18 ← equal ratios
B
2 : 14 ( multiply both sides by 3 )
= 6 : 42 ≠ 3 : 42 ← ratios not equal
C
12 : 6 ( divide both parts by 6 )
= 2 : 1 ← equal ratios
D
3 : 11 ( multiply both parts by 2 )
= 6 : 22 ← equal ratios
72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
BRAINLIEST
Two questions to solve
Please no trolling
Answer:
Step-by-step explanation:
question 13:
the triangle with x is a 30-60-90 triangle which means
x= 17√3
then the traingle with y and z is a 45-45 triangle
z=34
y= 34√2
question 14:
x= 18√3
z=9
y= 18
Plzzzzzz help one more time
HELPPPP PLS!! TY
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle? (1 point)
Square root of 6
3
Square root of 18
6
Step-by-step explanation:
as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.
the drawn triangle is nothing else than that.
to calculate the length of a side in such a triangle we need to use Pythagoras :
c² = a² + b²
c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.
a and b are the legs of the triangle "enclosing" the 90 degree angle.
so, we have
AB² = AC² + BC²
AC and BC we know : the coordinate differences in x and y directions.
AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.
BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.
AB² = 3² + 3² = 9 + 9 = 18
AB = sqrt(18)
FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answer:
D) (4, -6, -1)
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
Determine the measure∠d.
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
learn more about ratios here :
https://brainly.com/question/13419413
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Which of the following equations have exactly one solution? Choose multiple choices.
Answer:
-5x+12=5x-5
12=5x+5x-5
12+5=10x
17=10x
17/10=×
You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?
A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y
25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
PLZ HELP ASAP
Find the length of X
x = 5
explanation:
3 + 4.5 = 7.5 to get the side of the big triangle
set up a proportion
[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]
3x=7.5(2)..........cross multiply
3x=15.................multiply
x=5.....................divide both sides by 3
Answer:
Step-by-step explanation:
[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]
3x = 15
x = 5
which letter has rotational symmetry?
I
J
K
L
k has a rotational symmetry
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
Kim kardashian weight lifts 150N. Her muscles use 100J of energy. Calculate the distance she moves her weight
Answer:
2/3 meters
Step-by-step explanation:
Work=Force*Distance
we can also say:
Distance=Work/Force
Distance=100j/150N
D=2/3 meters
The distance she moves her weight is 2/3 meters.
What is energy?Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.
Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.
Given, Kim Kardashian weight lifts 150N.
Her muscles use 100J of energy.
We know work = force×distance.
∴ 100 = 150×distance.
distance = 100/150.
distance = 2/3 meters.
learn more about force here :
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Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0