An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicornsrequireat least12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bagof pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of carbohydrates, and it costs $25. A small bagof hippogriff feed contains 1milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?

Constraints:

Objective Formula:

Answers

Answer 1

Answer:

Do you go to Carnegie?

Step-by-step explanation:


Related Questions

While mining, Jason found a large metal bar that weighed 50 ounces. Jason was also able to determine that the bar contained 60% nickel. How many ounces of nickel are in the metal bar?

Answers

Answer:

The answer is 30

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If 60% of nickel is present in the metal bar that weighs 50 ounces.

The amount of ounces of nickel in the metal bar is 30 ounces.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% of 100 = 50/100 x 100 = 50

20% of 40 = 20/100 x 40 = 8

We have,

Weight of the metal bar = 50 ounces.

The percentage of nickel in the metal bar = 60%

The amount of nickel in the metal bar:

= 60% of 50 ounces

= 60/100 x 50 ounces

= 30 ounces

Thus,

If 60% of nickel is present in the metal bar that weighs 50 ounces.

The amount of ounces of nickel in the metal bar is 30 ounces.

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Write in slope intercept form:
(-3,7) and (6,-8)

Answers

Answer:

[tex]y=-\frac{5}{3}x+2[/tex]

Step-by-step explanation:

So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.

Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]

So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).

[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]

Distribute the -5/3 on the right side.

[tex]y-7=-\frac{5}{3}x-5[/tex]

Add 7 to both sides.

[tex]y=-\frac{5}{3}x+2[/tex]

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3,7) and (6,-8)

m=-8-7/6-(-3)

m=-15/6+3=-15/9

m=-5/3

Now let us find the y intercept b.

7=-5/3(-3)+b

7=5+b

b=7-5

b=2

The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)

y=-5/3x+2

Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)

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least common multiple

3/6 , 2/12

Answers

Answer:

6

Step-by-step explanation:

3,6,9.12

2,4,6,8,10,12

the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?

Answers

Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

Answer:

B

Step-by-step explanation:

edge 2021

which is a endpoint of a ray​

Answers

Answer:

A is the endpoint ray

Step-by-step explanation:

Point A is the ray's endpoint. One way to think of a ray is a line with one end. A ray starts at a given point and goes off in a certain direction forever, to infinity. The point where the ray starts is called (confusingly) the endpoint.

Simplify to zero answers.​

Answers

I don’t know if this is ur question or something but U cant simplify any number by zero

Is this a function or not

Answers

Answer:

no its a not funtion

Step-by-step explanation:

bc 1 n 3 is reapeat

Answer is that it’s not a function

what is the meaning of this symbol^​

Answers

Answer:

[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]

What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.

Answers

Answer:

m= -2

Step-by-step explanation:

Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3

Parallel lines have the same slope, so the slope is -2.

The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

Given that, the equation of a line is 2x + y = 3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line parallel to given line is m1=m2.

The given equation can be rewritten as y=3-2x

The standard form of an equation of a line is y=mx+c

Now, compare y=3-2x with y=mx+c, we get

Slope (m) = -2

So, slope of parallel to the line is m1=m2= -2

Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

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What is the first step to converting from a fraction to a decimal ?

Answers

Answer:

To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.

Step-by-step explanation:

ok

2x-10 <80 Solve for x​

Answers

Answer:

x<45

Step-by-step explanation:

Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on the indicated interval.

a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])

Answers

Answer and Step-by-step explanation:

Solution:

(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider given function:

f1(x) = lnx f2(x) = lnx5

(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

Consider the given function:

f1(x) = xn f2(x) = xn+2

(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])

Function is not linearly independent.

Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.

F1= n.f2

(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]

According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.

f1 = n. f2

The given function:

f1(x) = cos(x + π)f2(x)

What is the m R
(x + 2)°
(3x – 6°
S
Q
P
m If a ray QT bisects ZPQR, what will be the measure of one of the resulting angles?

Answers

(3x-6) that would be the answer for your question

The value of measure ∠RQS would be,

⇒ ∠RQS = 48°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

A ray QT bisects ∠PQR.

Now, We get;

⇒ ∠PQR + ∠RQS = 180°

⇒ (3x - 6) + (x + 2) = 180

⇒ 4x - 4 = 180

⇒ 4x = 184

⇒ x = 46

Thus, The value of measure ∠RQS would be,

⇒ ∠RQS = x + 2 = 46 + 2 = 48°

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please answer for brainlesit

Answers

Answer:

(-3, -2) that is the answer please give me brainiest

Step-by-step explanation:

|2x+1| < 5
help please




Answers

Answer:

3

Step-by-step explanation:

Answer: x=2 and x=-3

Step-by-step explanation:

|2x+1|=5>|2x+1|=-5

2x+1=5 > 2x+1=-5

2x+1-1=5-1 > 2x+1-1=-5-1

2x=4 > 2x=-6

2x÷2=4÷2 > 2x÷2=-6÷2

x=2 > x=-3

what is 3(3x +2) = 9x-7

Answers

Answer:

No solutions

Step-by-step explanation:

3(3x + 2) = 9x + 7

9x + 6 = 9x + 7

9x - 9x = -6 + 7

0 = -1

No solutions

Hope this helps!

A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.

Answers

Answer:

a

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  [tex]\mu  =  3 \  minutes =  180 \  seconds [/tex]

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  [tex]\alpha =  0.05[/tex]

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x  =  \frac{156 + 136 + \cdots  + 181}{25}[/tex]

=>      [tex]\= x  = 173.2 [/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }[/tex]

=>    [tex]\sigma  =  24.261[/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }[/tex]

=>   [tex] z = -1.40[/tex]    

Generally p-value is mathematically represented as

  [tex]p-value  =  P(Z <  z)[/tex]

=>  [tex]p-value  =  P(Z < -1.40)[/tex]

From the z-table  

   [tex]P(Z < -1.40) =  0.080757[/tex]

=>   [tex]p-value  = 0.080757 [/tex]

From the obtained value we that  [tex]p-value >  \alpha[/tex]

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?

Answers

Answer:

£30

Step-by-step explanation:

Jack had 30 pounds, he withdrew 30 more and had 60,he spent 40 and was left with 20.Then he withdrew 30 more and had 50,he spent 40 and was left with 10.Then he withdrew 30 more and had 40,he spent 40 and was left with 0 meaning he had no money

Read this line of a story: After Mary confessed that she had stolen the sandwich and apologized, Brian forgave her Which of these themes best fits this line from the story? O Love conquers all O Good overcomes evil O Honesty is the best policy O Friendship is all you need​

Answers

Answer:

C

Step-by-step explanation:

Honesty Made Brian Become Forgiven

Answer:

Honesty is the best policy

Step-by-step explanation:

she confessed

Pls help i dont understand :( Will give brainliest + 25 Points!!

Answers

Answer:

Answer is A

Step-by-step explanation:

The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.

Answer:

A) y=-5/6+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:

y=-5/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-4). When x of the line is 6, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).

So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.

The equation of the line that passes through the point (6,-4) with a slope of -5/6

is

y=-5/6x+1

L=10 inches and A=40 square inches, solve A=lw

Answers

Answer:

w=4

Step-by-step explanation:

[tex]A=lw[/tex]

[tex]40= (10)w[/tex]

[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]

3. A store manager reports that the mean grocery bill at her store on a Saturday is between
$28.25 and $36.75. To do this, she considered a random sample of customers that Saturday.
What was the sample mean? (Remember that the sample mean is the center of the confidence
interval). What was the margin of error?

Answers

Answer:

Hope you understand, and never stop striving to learn!

Step-by-step explanation:

The sample mean is both values added together then divided by 2.

$46.63

The margin of error is the low value divided by the high value * 100% =76.8% (then you have to minus this from 100% so the margin of error is 23.2%)

What is the equation of the line?

Answers

Answer:

It’s the second option

Step-by-step explanation:

I need the answer plzz help me

Answers

Answer: A) a translation 3 units down

Step-by-step explanation: Notice how your y-values are decreasing by 3.

y-values only increase or decrease, so if they’re decreasing, they are going down.

Hope this helps!

Find the slope of the line connecting the point (2,3) to the point (4,6)l

Answers

Answer:

2/3

I hope this helps :D

9514 1404 393

Answer:

  3/2

Step-by-step explanation:

The slope is the "rise" (change in y) divided by the "run" (change in x).

  m = (y2 -y1)/(x2 -x1)

  m = (6 -3)/(4 -2) = 3/2

The slope is 3/2 = 1.5.

If a • b = 0, and a ≠ 0, then b=

Answers

Answer: 5573

Step-by-step explanation:

A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form?
IF U ANSWER SOMETHING JUS TO GET POINTS YOU WILL GET DELETED AND REPORTED !!!!

Answers

Answer:

y=3x+5

Step-by-step explanation:

Slope intercept form is always y=mx+b

'm' represents slope and 'b' represents y-intercept.

Hope it helped.

Daniel and Paul went exploring in the woods. On the first day Daniel saw 3 rabbits and Paul saw 8 deer. On the second day Daniel saw 4 rabbits and Paul saw 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer?

Answers

Answer:

first day when they say 3 rabbits and 8 deers 3:8

Helppppppppppppppppppp

Answers

Answer:

Step-by-step explanation: Second one but I'm not sure so wait till someone else answers if they don't then just guess or pick the second one but if it's wrong I'm extremely sorry .!

Answer:

option forth is mistake:

<DEB and <CBE are not corresponding angle. they are co interior angle.

Please help me be right! Ordered pairs

Answers

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

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