Given the system of constraints name all vertices. Then find the maximum value of the given objective
x≥0
y≥0
y≤ 1/3x+1
5≥y+x
Objective function C = 7x-2y
Answer:
[tex]35[/tex]
Step-by-step explanation:
The constraints are
The red line represents the function
[tex]y\leq \dfrac{1}{3}x+1[/tex]
At [tex]y=0[/tex]
[tex]0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3[/tex]
At [tex]x=0[/tex]
[tex]y=0+1\\\Rightarrow y=1[/tex]
Two points are [tex](-3,0),(0,1)[/tex]
The blue line represents the function
[tex]5\geq y+x[/tex]
at [tex]y=0[/tex]
[tex]5=x[/tex]
at [tex]x=0[/tex]
[tex]y=5[/tex]
Two points are [tex](5,0),(0,5)[/tex]
The other two constraints are [tex]x\geq 0[/tex], [tex]y\geq 0[/tex]. So, the point has to be in the first quadrant
From the graph it can be seen there are two points where the function will be maximum let us check them.
[tex](3,2)[/tex]
[tex]7x-2y=7\times 3-2\times 2=17[/tex]
[tex](5,0)[/tex]
[tex]7x-2y=7\times 5-2\times 0=35[/tex]
So, the maximum value of the function is [tex]35[/tex].
PLEASE HELP!!! 20 POINTS AND WILL MARK BRAINLIEST
[A] state which becomes progressively more and more a unity will cease to be a state at all. Plurality of numbers is natural in a state; and the further it moves away from plurality towards unity, the less of a state it becomes.
Aristotle believed that the citizens of a successful state must
share the same beliefs.
follow the leadership of a dictator.
hold annual elections.
allow for a diversity of opinions.
Answer:
allow for a diversity of opinions
Step-by-step explanation:
Find an exact value.
sine of negative eleven pi divided by twelve.
A. square root of six plus square root of two divided by four.
B. negative square root of six minus square root of two divided by four.
C. square root of two minus square root of six divided by four.
D. square root of six minus square root of two divided by four.
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
On a 30 question test, Janice answered four-fifths of the questions correctly-
Which of the following is the number of questions she answered correctly?
A.26
B.24
C.38
D.25
You are in charge of purchasing paper for the City of Fairfield. You want to show the mayor how much paper the city used in the past. Approximately how much more did the city budget for paper in 2015 than in 2011?
Answer:
0.2 million
Step-by-step explanation:
Gio hiked six miles in two hours. At this rate, what is the total number of miles Gio could hike in nine hours?
Answer:
27 miles
Step-by-step explanation:
3 mph is rate speed,
3 x 9 = 27 miles
Historically, only 35% of applicants for a statistical programming internship at a large pharmaceutical company have previous experience with the necessary software. Assume that applicants are selected at random and interviewed sequentially. What is the probability it takes exactly four interviews to find the first applicant with previous experience
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]
At a big pharmaceutical company, historically, just 35% of applicants for an internship in statistical programming had prior computer software experience. Assume that candidates are chosen at random and questioned one at a time.
p = 0.35
Then the probability is given as,
P = ⁴C₁ x (0.35)¹ x (1 - 0.35)³
P = 0.3845
The probability that takes exactly four interviews to find the first applicant with previous experience will be 0.3845.
More about the binomial distribution link is given below.
https://brainly.com/question/14565246
#SPJ2
IS (1, 2) of a solution set of x+ y = 3 and 2 x + 7 y = 16 ?
Answer:
yes
Step-by-step explanation:
x=3-y
2(3-y)+7y=16
6-2y+7y=16
5y=10
y=2
x=3-2=1
what is 9*10^97 helppppppppppppppppppppppppppp
Answer:
9e+97
Step-by-step explanation:
what is 3,317.88➗6 equal
Answer:
552.98
Step-by-step explanation:
using a calculator
Answer:
It equals 552.98
Step-by-step explanation:
Mr. Brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. He has drawn a sketch on a coordinate grid.
He has the lower vertices of the sign at (9,-3) and (-6, -3). Where would the upper vertices be on the grid?
Answer:
(9,2) and (-6,2).
Step-by-step explanation:
Rectangular Coordinates
The lower vertices of a rectangular welcome sign in Mr. Brettler's gym are (9,-3) and (-6,-3).
Note these two vertices are 3 units below the x-axis. We know the sign is 5-foot tall, so the y-coordinates of the two upper vertices should be -3+5=2.
The upper vertices of the sign on the grid are (9,2) and (-6,2).
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
HELP ME PLEASE!!!! DUE TODAY!
Answer:
it is b
Step-by-step explanation:
i givvveee brainlilsttttyt
Answer:
5, -5
Step-by-step explanation:
Answer:
vb cvncv xvc xv xzz xcf gv
Step-by-step explanation:
gh hg ghghbgvnghnk/.kl.ghn nb yhgkuylh89gmndfnuyhfgmdtym bh
Pls help me I’ll brainlest for the right answer plssss help I’m failing math grades close today
Answer:
it decreased by 40%
Step-by-step explanation:
A carpenter is making a ramp for a ski jump.
The ramp is made from a 25 ft. board titled at
a 30° angle from the ground. Approximately
how far off the ground is the end of the ramp?
Answer:
12.5 ft
Step-by-step explanation:
To solve this, we would be applying Pythagoras theorem to it.
Assuming that our given angle is the hypotenuse. Since it says it's closer to the elevated angle. Then, we're looking for a side, A, which is on the opposite side of the angle in the question.
Using sine rule, we know that
Sin 30 = x/25
x = 25 sin 30
x = 25 * 0.5
x = 12.5 ft
Therefore the answer is 12.5 ft
Write the mixed number as an improper fraction.
23/4 =
Answer:
Improper fraction: 23/4
Mixed number: 5 3/4
Answer:
5 3/4
Step-by-step explanation:
how many times does 4 go into 23? well 4×5=20, which seems like too little, so we'll try 4×6=24,
but that's too much so were sticking with the 5. So 5 is the first number
then since 4 times 5 is 20. but you have 23, there are 3 extra numbers
So you make them into a fraction: 3/4
So the answer is 5 3/4
also 23/4 is the improper fraction, 5 3/4 is the mixed number
The face of a lamp shade is shaped like a trapezoid. The dimensions of the face are shown in the diagram.
six inches.....y inches....x inches....10 inches.....y inches...
Which equation can be used to find A , the area of the face of the lamp shade in square in
what is negative 56 divided by -7
what is 1000×80,000 in stuck on this
Answer:
80,000,000
Step-by-step explanation:
Find the length of the missing side.
Answer:
5
Step-by-step explanation:
12x12-13x13=b2
144-169=b2
25
[tex]\sq\sqrt25\\[/tex]=5
wendy jogs every three days and xue jogs every four days. if today is a wednesday and wendy and sue both jog today, in how many days will they both jog again on the same day of the week which day of the week will it be
Answer:
Monday
Step-by-step explanation:
Given
[tex]Wendy = 3[/tex]
[tex]Xue = 4[/tex]
[tex]Today = Wednesday[/tex]
Required
Determine when next they will jog together
First, we calculate the L.C.M of the days they jog:
[tex]3 = 1 * 3[/tex] --- Wendy
[tex]4 = 1 * 2 * 2[/tex] ---- Xue
[tex]LCM = 1 * 3 * 2 * 2[/tex]
[tex]LCM = 12[/tex]
This means that they meet on the 12th day; The 12th day after a Wednesday is Monday.
Hence, they will meet on a Monday
Can the sides of a triangle have lengths 5, 12, and 17?
Answer:
well it can have 5 and 12
I need this ASAP HELP
Answer:
Srry I can't help
Step-by-step explanation:
i cant reallly see so yh
Step-by-step explanation:
A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
a.) 15.1 gallons
c.) 60.4 gallons
b.) 90.6 gallons
d.) 105.7gallons
Answer:
d) [tex]105.7\ \text{gallons}[/tex]
Step-by-step explanation:
[tex]150\ \text{miles}[/tex] requires [tex]45.3\ \text{gallons of fuel}[/tex]
[tex]1\ \text{mile}[/tex] requires [tex]\dfrac{45.3}{150}\ \text{gallons of fuel}[/tex]
[tex]200\ \text{miles}[/tex] requires [tex]200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}[/tex]
So, total amount of gasoline required for the trip is [tex]60.4+45.3=105.7\ \text{gallons}[/tex].
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
A research study showed that a sample of 25 dosages from a medicine dispensing machine averaged 24.1 mg of a certain drug. The sample standard deviation was 1.8 mg. a) Form a 99% confidence interval of the population average of drug dosage dispensed. b) Explain what this interval means to someone unfamiliar with this research.
Answer:
a) The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b) It means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
a)
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{1.8}{\sqrt{25}} = 1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 1 = 23.1 mg
The upper end of the interval is the sample mean added to M. So it is 24.1 + 1 = 25.1 mg
The 99% confidence interval of the population average of drug dosage dispensed is between 23.1 mg and 25.1 mg.
b)
The interval means that we are 99% sure that the true mean dosage for all the population is between 23.1 mg and 25.1 mg.
Please help im cluelessss
Answer:
The expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Step-by-step explanation:
Like term:
We know that like terms are those terms with:
same variablessame exponentsFor example,
2x and 4x are the like terms. Both have the same variables and the same power of the variable.
Similarly, 2x³ and 4x³ are like terms. Both have the same variables and the same exponents of the variables.
Please note that the like terms may have different coefficients of the variables.
NOW, REWRITING THE EXPRESSION BY COMBINING LIKE TERMS
Given the expression
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)[/tex]
Here in the parentheses:
2/3y, 1/3y, and 9y are like terms.5 and 7 are like terms.as
2/3y + 1/3y - 9y = y - 9y = -8y-5-7 = -12Combining like terms in the parentheses
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
Therefore, the expression can be rewritten by combining like terms such as:
[tex]0.25\:\left(\frac{2}{3}y\:-\:5\:+\:\frac{1}{3}y\:-\:7\:-\:9y\right)=0.25\left(-8y-12\right)[/tex]
PLS HELP THIS IS DUE IN 10 MINUTES ASAP
Answer:
2) A.[tex]\frac{14+x}{5}[/tex]
3) B. [tex]4(\frac{11}{x} )[/tex]
Step-by-step explanation:
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. By
what percent is the student's estimate off?
Answer:
She is wrong. Since is .5, you round up to the nearest tenth. So it is 2.0
Step-by-step explanation:
If student has a container with a volume of 2.5 liters. She estimates the volume to be 2.4 liters. Then by 4% the student's estimate off
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The container of a student has a volume of 2.5 liters.
She estimates the volume to be 2.4 liters
We need to find the percent of student's estimate off.
To find this we have to find the difference of 2.5 and 2.4
2.5-2.4=0.1
Now divide zero point one divided by two point five
0.1/2.5
0.04
Multiply with hundred
0.04×100=4%
Hence 4 % is the students estimate off
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ5
