Answer:
31
Step-by-step explanation:
We can solve the given equation for 'b', then find the integer values of 'a' that make 'b' a positive integer. There are 3 such values. One of these minimizes the objective function.
__
solve for bab +5b = 373 +6a . . . . . . isolate b terms by adding 6a
b = (6a +373)/(a +5) . . . . . divide by the coefficient of b
b = 6 +343/(a +5) . . . . . . . find quotient and remainder
integer solutionsThe value of 'b' will only be an integer when (a+5) is a factor of 343. The divisors of 343 = 7³ are {1, 7, 49, 343}. so these are the possible values of a+5. Since a > 0, we must eliminate a+5=1. That leaves ...
a = {7, 49, 343} -5 = {2, 44, 338}.
Possible values of b are ...
b = 6 +343/{7, 49, 343} = 6 +{49, 7, 1} = {55, 13, 7}
Then possible (a, b) pairs are ...
(a, b) = {(2, 55), (44, 13), (338, 7)}
objective functionThe values of the objective function for these pairs are ...
|a -b| = |2 -55| = 53
|a -b| = |44 -13| = 31 . . . . . the minimum value of the objective function
|a -b| = |338 -7| = 331
which of these tables represents a function
Answer:
A: Table W.
Step-by-step explanation:
A function for tables are where the X-input NEVER repeat.
Graph W. Doesn't have any repeating inputs on the x side
Y can repeat as much as the problem make wants but the x CAN NOT.
CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!
Answer:0
Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0
Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5
child's meal for her brother. Kara has $29. How much can she spend on each
rice bowl if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
Answer:
4x+5 ≤29. Answer = $6 or less
Step-by-step explanation:
1. x= the price of the rice bowl
2. 4x= price of 4 rice bowls
3. So we get 4x+5(The total amount of their purchase)
4. Kara has only $29 so she can spend that much
5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.
6. The answers include $6,$5,$4,$3,$2, and $1 or less.
What is -8/15 of 21/12
Answer:
-14/15
Step-by-step explanation:
"of" means multiply, thus:
-8/15 * 21/12
-8 * 21 / 15 * 12
-2 * 7 / 15
-14/15
Answer:
-14/15
Step-by-step explanation:
So first you need to get rid of the negative sign. Don't worry you will add it back later!
So, you will do
-8/15×21/12
Once you cross cancel, you will have
-2/5x7/3
That would be equivalent to
-14/15
That's your answer!
Hope this helped :)
For every pound a company spends on advertising, it spends £0.80 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
The ratio of amount spent on advertising to the amount spent on its website in its simplest form is 0.5 : 0.4
RatioAmount spent on advertising = £1Amount spent on website = £0.80Ratio of amount spent on advertising to the amount spent on its website
= £1 : £0.80
= 1 / 0.80
= 0.5 / 0.4
= 0.5 : 0.4
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Explain how to use a graph of the function f(x) to
find f(3).
Answer:
here you go with your answer
Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0
Answer:
y= 1/4 x-62+1
Step-by-step explanation:
Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.
Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.
Answer:
A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.
Step-by-step explanation:
The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.
In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.
In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.
On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.
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Follow the steps to find the
area of the shaded region.
Now, use the formula
below to calculate the
area of the triangle.
Triangle Area = bh
h = 10.0708 cm
Triangle Area = [?] cm²
Round to four decimal places.
14 cm
hi
46°
14 cm
The area of the triangle is given as: ≈ 70.50cm²
What is the explanation to the above solution?Area of shaded region = Area of the sector less Area of the Triangle.
This is represented as:
π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Hence, the area of the triangle is (1/2) x 14 x 10.0708
= 70.4956 cm²
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Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
what is the answer for this question
what will be the exponent of ten in quotient
Answer: 8
Step-by-step explanation:
We know that:
[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]
In the number line below, JK is 5, LM is 6, and KL is 4. What is the length of the line segment formed by the midpoint of JK and midpoint of LM?
Answer:
By splitting the line segments into equal parts, we find that the length of the line segment formed by joining the mid-points is 5.5 units.
Step-by-step explanation:
Given lengths show that the length of JK is 5 units, KL is 4 units and LM is 6 units. Let the midpoint of JK be A. This means JK is splited into two equal parts JA and AK. Since the lengths of both the segments are same, it will be 5/2 = 2.5 units.
Now, let the midpoint of LM be B. So, we have two equal line segments LB and BM of length 6/2 = 3 units.
So, the length of the line segment formed by joining A and B will be 2.5 + 3 = 5.5 units
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A study of all 33,043 infants with a heart rhythm abnormality in Italy was conducted to find a link between heart rhythm abnormality and sudden infant death syndrome. (Source: New England Journal of Medicine)
What is known about the 33,043 infants?
They are the population.
They are the variance.
They are a sample.
They are the stratified random sample.
Using sampling concepts, it is found that the 33,043 infants represent the sample.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, all infants represent the population, while 33,043 infants represent the sample.
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can someone please help meee
Answer:
the y intercept is (0,2)
slope = -4
Step-by-step explanation:
from the graph the y intercept is (0,2) and we can consider it as p1
p2 (2,-6)
slope = y2-y1 / x2-x1
= -6 - 2/ 2 -0 = -8/2 = -4
Which of the following equations have no solutions? Choose all Answers that apply
Answer:
B & D
Step-by-step explanation:
-4x+5=-4x-4
-4x+4x=-4-5
0=-1
So, it has no solution.
-4x+5=-4x-5
-4x+4x=-5+5
0=0
So, it has no solution too.
Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope?
Answer:
The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.
y-intercept: (0,50)
Slope: 45
what is the measure of ∅?
A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians
Answer:
C. 4 radians
Step-by-step explanation:
[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]
Ctrl Angle = ∅
∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]
in radians:
∅ = [tex]\frac{720}{180} =4[/tex]
Hope this helps
need help asap! Fill in the blank by entering just a number…
Answer:
i think it is 102
Step-by-step explanation:
first u solve the equation to find
then substitute and solve for at a tb
next just add them to find
A shopkeeper buys a stove for $860 what is the selling price if he makes the profit of 15%
Answer:
$989
Step-by-step explanation:
860*0.15 is = 129
129 + 860 is 989
a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
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mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta
The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of the expression will be given as:-
r³ = r(x² + y²)
( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)
216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]
Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex].
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Sarah made a deposit of $100 into a savings account with 3
percent interest compounded annually. How much money will
the account yield in five years?
(The options are)
A:$97
B:$103
C:$115
D:$116
Answer: D, $116
Step-by-step explanation:
A = 100(1 + 0.03)^5
A = 100(1.03)^5
A = 100(1.1593)
A = 115.92
Hope this helped!
PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.
Use the Sine tool to graph the function.
The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.
(please include a graph when you answer)
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
What is sin function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
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1. What is the sum? 7/2+(-3/5)
4I3
10
21
10
10
Answer:
29/10
Step-by-step explanation:
7/2+(-3/5)
7/2-3/5
35/10-6/10
29/10
Anne is visiting a friend who lives 18.5 km away. She travels 10 km by train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate of 3.5 km per hour, for how long will Anne walk
Anne will walk a distance of 7 km, and she takes 2 hours to walk that distance.
For how long will Anne walk?
The total distance is 18.5 km.
She travels 10km by train and 1.5km by bus, for a total of 11.5km.
The distance that she walks is given by:
18.5km - 11.5km = 7km
So she walks for a distance of 7 km, at a speed of 3.5km per hour.
Remember the relation:
distance = time*speed
That can be rewritten to:
time = distance/speed.
Then the time that she walks is given by:
T = (7 km)/(3.5 km/hour) = 2 hours
She walks for 2 hours.
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Which expression is equivalent to √48x5, if x>0?
OA. 12x³√3x
OB. 4x³√3
OC. 4x²√3x
D. 12x²√x
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}}\sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
which of the followiing is not a function
Answer:
i think B i don't know but i only guess
write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food
[tex]t = p*k[/tex] is the formula that will help eric determine how much the potatoes he buys will cost in bulk.
What is Advance algebraic Equations?An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
According to the question,
In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.
Since we are given specific variables for each piece of information needed for the variable.
All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.
[tex]t = p*k[/tex]
By using this formula lets Eric calculate the total price of an order of fruit or vegetables.
Therefore,
A formula that will help eric determine how much the potatoes he buys will cost in bulk is [tex]t = p*k[/tex]
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Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?
Answer:
Its 250 the answer which i got.
Answer:
After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276
Step-by-step explanation: