A farmer has a piece of land with an area of 4 square yards. If a cow can graze grass at a rate of 2 square feet per hour, how long will it take 3 cows to graze the entire piece of land

Answers

Answer 1

Answer:

2 hours

Step-by-step explanation:

4 square yards to feet: 4*3 = 12ft

3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour

Time taken: 12ft/6ft per hour = 2 hours


Related Questions

Equivalent ratios what’s the answer
3:6=

Answers

Step-by-step explanation:

you multiply both sides by the same factor, so that the main message or information, the ratio, stays the same :

3:6 × 2/2 = 6:12

3:6 × 1/3 / 1/3 = 1:2

3:6 × 4/3 / 4/3 = 4:8

3:6 × 100/100 = 300:600

so, these are all equivalent ratios. and there are infinitely more, as you can see.

What is the slope?
Please help!! Thankss

Answers

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0,2) ← 2 points on the line

m = [tex]\frac{2-0}{0-(-1)}[/tex] = [tex]\frac{2}{0+1}[/tex] = [tex]\frac{2}{1}[/tex] = 2

Write an expression, of the type A log(x B), for the transformed logarithmic function shown below:

Answers

The equation of the logarithmic function is y = log(x - 1)

How to write the equation of the transformed function?

The points are given as:

(0,3) and (2,0)

The equation is represented as:

y = A log(x + B)

Substitute (2,0) in y = A log(x + B)

y = A log(x + B)

This means that:

0 = A log(2 + B)

This means that:

A = 0 or log(2 + B) = 0

Take the antilog of both sides of log(2 + B) = 0

2 + B = 1

Solve for B in 2 + B = 1

B = -1

Substitute B = -1 in y = A log(x + B)

y = A log(x - 1)

Substitute (0,3) in y = A log(x - 1)

3 = A log(0 - 1)

So, we have:

3 = A log(-1)

The above equation is undefined.

Hence, the equation of the logarithmic function is y = log(x - 1)

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Complete question

Write an expression, of the type A log(x + B), for the transformed logarithmic function shown below:

(0,3) and (2,0)

The tree diagram represents an experiment consisting of two trials. P(C) = [?]

Answers

The value of the probability P(A and C) is 0.18

How to determine the probability?

The complete question is added as an attachment

From the attached tree diagram, we have:

P(A) = 0.6

P(C) = 0.3

The required probability is then calculated as:

P(A and C) = P(A) * P(C)

This gives

P(A and C) = 0.6 * 0.3

Evaluate

P(A and C) = 0.18

Hence, the value of the probability P(A and C) is 0.18

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The number of bagels sold daily for two bakeries is shown in the table.

Bakery A Bakery B
53 34
52 40
50 36
48 38
53 41
47 44
55 40
51 39
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (5 points)

Group of answer choices

A) Mean, because there are no outliers to affect the data

B) Mean, because the distribution is perfectly symmetric for both bakeries

C) Median, because the distribution for Bakery B is not symmetric

D) Median, because there are outliers that affect both data sets

Answers

The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.

What are Outliers?

Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.

From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.

The answer is: A. Mean, because there are no outliers to affect the data.

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3. There are 50 girls and 50 boys at a party, all of
whom have written down their names on sheets
of paper for a chance to win a raffle prize. Of all
the girls and boys, 10 girls have braces and 15
boys have braces. What is the probability that
the child randomly chosen to win the raffle will
be a boy without braces?

Answers

There is a 25% chance that a child with braces will be chosen.

Which is a factor of f(x) = 60x4 86x3 – 46x2 – 43x 8? use the rational root theorem to help you find your answer.

Answers

The correct option is (2)  [tex]\frac{8}{5}[/tex] and (3)  [tex]\frac{1}{6}[/tex].

The factor of equation  f(x) = 60[tex]x^{4}[/tex] +  86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].

Rational Root Theorem:  

The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.

For the given polynomial, the roots are given as;

[tex]$$P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{2} x^{2}+a_{1} x+a_{0}$$\\ \\$\pm \frac{\text { factors of } a_{0}}{\text { factors of } a_{n}}$.[/tex]

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only   [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex] can be written in the form:  

[tex]\begin{aligned}&\frac{8}{5}=\frac{\text { a factor of } 8}{\text { a factor of } 60} \\&\frac{1}{6}=\frac{\text { a factor of } 8}{\text { a factor of } 60}\end{aligned}[/tex]

Therefore, the rational roots of polynomial f(x) = 60[tex]x^{4}[/tex] +  86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].

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The complete question is-

Which is a factor of f(x) = 60[tex]x^{4}[/tex] +  86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8? use the rational root theorem to help you find your answer.

x – 6 => 65x – 8 =>   [tex]\frac{8}{5}[/tex] 6x – 1 =>   [tex]\frac{1}{6}[/tex]8x + 5 => [tex]\frac{-5}{8}[/tex]

pls help i’ll give brainliest

Answers

Answer: y=-1/5x+ 8/5    (Third one down)

If the probability that the person A will be alive for 30 years is 0.7 and the probability that the person B will be alive for 30 years is 0.5, what is the probability that they both will be alive for 30 years?

0.24
1.2
0.15
0.35

Answers

Answer:

[tex]0,35[/tex]

Step-by-step explanation:

In view of the fact that our events are independent of each other, we should multiply their probabilities: [tex]P(A \cap B) = P(A) * P(B) = 0,7 * 0,5 = 0,35[/tex].

Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?

Answers

The amount invested in the account that has a rate of 14% is $1767

The amount invested in the account that has a rate of 6% is $1425.

What are the linear equations that represent the question

0.06a + 0.14b = 342 equation 1

b - a = $950 equation 2

Where:

a = amount invested in the account that has a rate of 6%

b =  = amount invested in the account that has a rate of 14%

How much was invested in each account?

Multiply equation 2 by 0.06

0.06b - 0.06a = 57 equation 3

Subtract equation 3 from equation 2

285 = 0.2a

a = 285 / 0.2

a = 1425

Substitute for a in equation 2

b - 1425 = 342

b = 1425 + 342

b = $1767

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To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.

At approximately what angle does the wire meet the ground?
33.6°
39.8°
50.2°
56.4°

Answers

Using relations in a right triangle, it is found that the tree meets the wire at an angle of 56.4º.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, we have that:

The opposite side to the angle is of 10 feet.The hypotenuse is of 12 feet.

Hence:

[tex]\sin{\alpha} = \frac{10}{12}[/tex]

[tex]\alpha = \sin^{-1}{\left(\frac{10}{12}\right)}[/tex]

[tex]\alpha = 56.4^\circ[/tex].

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please help me.--------------------------------

Answers

Answer:

tan 33° = 0.6494

C = 65°

Step-by-step explanation:

Use a calculator.

tan 33° = 0.6494

cos C = 0.4226

Use the inverse cosine function on a calculator.

C = 65°

please help me solve this

Answers

Answer:

1.5, -1.5

Step-by-step explanation:

Using the quadratic formula, you should have a plus, and minus solution. These should be your answers.

If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.

Answers

The researchers could utilize a probability sample.

Meaning of a Probability Sample

Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.

Probability Sample as the Representative of Population Sample

Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.

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Find the area of a circle with radius, r =
6.05m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.

Answers

Answer:

Step-by-step explanation:

The area of a circle is πr²

so your area is 114.99

In simplified form, we can write $\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$ as $a\sqrt[b]{c}$, where $a$, $b$, and $c$ are all positive integers. what is $a+b+c$?

Answers

The sum of a+b+c = 307.

According to the statement

[tex]$\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$[/tex] is written as [tex]$a\sqrt[b]{c}$[/tex]

now we find the sum of these

in these terms a=54 and b=3 and c=250

Then

a+b+c = 54+3+250

a+b+c = 307

So, The sum of a+b+c = 307.

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An igloo can be modeled as a hemisphere. Its radius measures 6.3 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.

Answers

The volume of the igloo is 523.43 m^3

How to get the volume of the igloo?

We know that the volume of a sphere of radius R is:

[tex]V = (4/3)*pi*R^3[/tex]

Where pi = 3.14

Then the volume of a hemisphere is half of that.

In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:

[tex]V = (1/2)*(4/3)*3.14*(6.3m)^3 = 523.43 m^3[/tex]

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2. If you use AB as the base to find the area of ABCD shown at the right, what should you use as the height?

Answers

The height that should be used is DE

Area of a parallelogram

From the question, we are to determine what should be used as the height

The area of a parallelogram is given by the formula,

A = b × h

Where A is the area

b is the base

and h is the perpendicular height

In the given diagram, if AB is used as the base, then the height that would be used will be DE. This is because DE is perpendicular to AB

Hence, the height that should be used is DE

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PLEASE HELP QUICK!!!!!!!
The Science Club arranged a trip tot he Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?

Answers

Answer:

There are 36 members in the Science Club.

Step-by-step explanation:

25 minus one is 24 and half of 24 is 12. 12 times 3 is 36, which is the full 3/3 of the Science Club.

write the slope-intercept form of the equation of each line

1. x-3y = 6

2. 4x-y = 1

3. 6x+5y = -15

4. 13x- 11y =-12

Answers

Answer:

y = [tex]\frac{1}{3}[/tex]x - 2y = 4x - 1y = -[tex]\frac{6}{5}[/tex]x - 3y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m represents the slope and b represents the intercept.

x - 3y = 6

3y = x - 6

y = [tex]\frac{1}{3}[/tex]x - 2

4x - y = 1

y = 4x - 1

6x + 5y = -15

5y = -6x - 15

y = -[tex]\frac{6}{5}[/tex]x - 3

13x - 11y = -12

11y = 13x + 12

y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]

Kawan buys some protein bars at $0.90 each and bottled water at $0.70 each for a group hike. He buys twice as many bottles of water as protein bars. If he spends $46 in total, how many bottles of water and protein bars does he buy? Let x= the number of protein bars

Answers

Answer:

he buts 20 protein bars and 40 water bottles

Step-by-step explanation:

so first u set up an equation like this

46=.90x+.70(2x)

next you multipy

46=.90x+1.4x

Then add

46=2.3x

then divide by 2.3 to solve for x

x=20 so u have 20 protein bars

and 20 times 2 to find the amount of water bottles

Answer:

20 Protein bars and 40 waters.

Step-by-step explanation:

Let x = protein bars and y = waters

y = 2x          .9x + .7 y = 46

Looking at the second equation, I would rather not work with decimals, so I will multiple the whole equation through by ten.  That now gives m

9x + 7y = 460 Substitute in 2x for y (from my first equation above)

9x + 7(2x) = 460

9x +14x = 460  Combine 9x and 14x

23x = 460  Divide both sides by 23

x = 20  This is the number of protein bars.  To find y plug 20 into the first equation above.

y = 2x

y =20(2)

y = 40

identify and shade the following regions on separate venn diagram

Answers

The attached figures represent the shaded areas of the given set operations

How to identify the shaded regions?

To shade the given regions of the sets, we need to highlight the following set operations

Intersection: This represents the elements that are common between two or more setsUnion: This represents the totality of all elements in two or more sets (without repetition of elements)Complement: This represents the elements that are not present in the given set

Using the above definition of set operations and the Venn diagram, we have the following values:

X U Y' = Y'X n Y' = ∅ i.e an empty set(X U Y)' = X' n Y'(X n Y)' = U i.e. the universal setX' U Y' = X' n Y'X' n Y' = X' U Y'(X' U Y)' = X(X U Y')' = Y

See attachment for the shaded areas of the above set operations

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round to the hundredths pl[tex]2÷6.3[/tex]ace

Answers

The value of the expression [tex]2 \div 6.3[/tex] is 0.32

How to solve the expression?

The expression is given as:

[tex]2 \div 6.3[/tex]

Rewrite as:

[tex]2 \div 6.3= \frac{2}{6.3}[/tex]

Multiply the expression by 10/10

[tex]2 \div 6.3= \frac{20}{63}[/tex]

Divide 20 by 63

[tex]2 \div 6.3= 0.31746031746[/tex]

Approximate to the nearest hundredth

[tex]2 \div 6.3= 0.32[/tex]

Hence, the value of the expression [tex]2 \div 6.3[/tex] is 0.32

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Hi Guys!
I need help ASAP

Answers

Answer:

8.

Step-by-step explanation:

P/Q = 3.125 = 3 1/8

- looks like the denominator Q could be 8.

It could not be any of the other choices.

25/8 = 3.125.

How do I get started on the second part

Answers

The function to calculate the speed is S = 260.52/t.

How to illustrate the information?

From the information given, there are 78 laps through the Monte Carlo and each lap has a distance of 3.34 km. Therefore, the total length of the race will be:

= 78 × 3.34

= 260.52km

The function to calculate the speed will be:

Speed = Distance/Time

S = 260.52/t

Complete question:

The famous Grand Prix has 78 laps through the Monte Carlo and each lap has a distance of 3.34 km.

a. What is the total length of the race?

b. Write a function that can be used to model the race where the independent variable represent the average speed.

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Can someone help me out with these two problems having trouble please !!

Answers

Answer:

1.

x=-10

x=-6

2.

x=10

x=-3

Step-by-step explanation:

to find the zeros of a function you need to set it equal to zero:

x^2+16x+60=0

then you factor

(x+10)(x+6)=0

then you have to finish factoring/simplifying

x+10=0

  -10

x=-10

x+6=0

 -6

x=-6

and the same thing for number 2

x^2-7x-30=0

(x-10)(x-3)=0

x=10, x=3

Answer:

1.) x = -10, x = - 6

2.) x = 10, x = -3

Step-by-step explanation:

1.) factorize and set the equation to zero by multiplying a and c and finding factors of it that will result in b once added/subtracted

[tex]x^2+16x+60\\(x+10)(x+6)\\(x+10)(x+6)=0\\x=-10, x=-6[/tex]

2.) do the same for number 2:

[tex]x^2-7x-30\\(x-10)(x+3)\\(x-10)(x+3)=0\\x = 10, x = -3[/tex]

i hope this helped!

Which equation represents a direct variation?
A.y = 0.5 x
B.x minus y = 5
C.x y = 5
D.y = x + 5

Answers

Answer:

A.

Step-by-step explanation:

i'm 99% sure

Answer:

A. y = 0.5x

Step-by-step explanation:

i got it right

Choose the equation that satisfies the data in the table.
X -1
0 1
Y
0
-4 -8
-
OA. y = 4x - 4
OB.y = -x +4
Oc.y=x+4
D. y = -4x - 4

Answers

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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Which is an equivalent form of the expression 1800(1.2)^-t

Answers

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

Help ASAP!!! Geometry, “fill in the blanks”

Answers

Skew lines and parallel lines do not intersect

How to determine the skew lines?

As a general rule, skew lines are lined that are not on the same plane; they are not parallel to each other and they do not intersect

Using the above definition as a guide, the skew lines in the figure are:

CG and BDAE and FHEG and DH

The difference between skew lines and parallel lines

Parallel lines and skew lines are different in the following ways:

Skew lines are on different planesParallel lines are on the same plane

The likeness between skew lines and parallel lines

Parallel lines and skew lines are alike in the following way:

Skew lines and parallel lines do not intersect

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Under his cell phone plan, Jackson pays a flatcost of $44 per month and $4 per gigabyte. Hewants to keep his bill under $45 per month. Which inequality can be used to determine g, themaximum number of gigabytes Jackson can usewhile staying within his budget? TRUE OR FALSE hominins consist of a group of bipedal apes. a resistor dissipates 2.25 ww when the rms voltage of the emf is 10.5 vv . part a at what rms voltage will the resistor dissipate 10.0 ww ? a) G.S.I. - Gross Scheduled Income, includes total rent for the occupied space plus potential rent payable for any vacant space.b) G.O.I - Gross Operating Income, is calculated by adding any vacancy/ credit loss from Gross Scheduled Income.1. Both, a and b are true.2. a is true and b is false.3. a is false and b is true.4. Both, a and b are false. 1. Who is the Speaker?2. Describe the Tone3. What is the poem about? A voltaic cell is constructed in which the following cell reaction occurs. The half-cell compartments are connected by a salt bridge 3Sn2*(aq) + 2Cr(s)3Sn(s) + 2Cr3(aq) if there are 100 identical firms in this market, what is the value of q2? a. 80,000 b. 20,000 c. 10,000 d. 40,000 A triangle has integer side lengths 2,5 and 2. What is the median of all possible values of x? Find the product of 3.68 and 12 Explain how you know where to place decimal point To qualify as social change, an alteration in behavior patterns and cultures must be ______. A. useful. B. significant. C. meaningless. D. slight. find the values of X and Y when the smaller triangle has an area of 6cm2.the value of X?the value of Y? William, a 17-year-old high school student, chooses products in the grocery store by looking at the pictures on the labels of the goods on the shelves because he cannot read many of the words. William would be considered: a. functionally illiterate. b. innumerate. c. unschooled. d. functionally literate. How are the movie Invisible Journey and the book Flower Confidential similar? Check all that are correct.Options:Both focus on the Stargazer lilyBoth explore how flowers we use in the US come to us from all over the world (X, I think)Both are fictionBoth are best-sellers (X)Both were written by Amy Stewart Using Time Order Words to Describe a Process Paragraph about How to Study for an ExamUse a good topic sentence and a minimum of 3 words from the word bank.Length: Write 5 to 8 sentences.Writing skills: Use time-order words to help keep your paragraph unified. Use at least 3 words from the timeorder word's bank.Time Order Words BankFirst, second, after that, next, third, in addition, later, finally, while, before.Word Bankbenefitcomfort zoneprocesshelpreadprovideperiodeventuallyclickregisteraccessWi-Fiplease, please help me The work function of platinum is 6.35 eV. What frequency of light must be used to eject electrons from a platinum surface with a maximum kinetic energy of 2.831019 J? Express your answer to three significant figures. Which of the following conditions presents the greatest water potential gradient between the soil, the plant, and the atmosphere? Odry soil, dry and warm atmosphere Odry soil, dry and cold atmosphere O moist soil, dry and warm atmosphere a moist soil, dry and cold atmosphere An atom of 130Sn has a mass of 129.913920 amu. Calculate the binding energy in MeV per NUCLEON. Use the masses: mass of 1H atom = 1.007825 amu mass of a neutron = 1.008665 amu 1 amu = 931.5 MeV Give your answer to 3 significant figures and DO NOT use E notation. No charity points will be awarded....... T/F : The resources dedicated to the drugstore have stretch the ability of the criminal justice system so that it must establish priorities as to which offenses to pursue As each extra unit is sold, what happens to a monopolists marginal revenue? ...... (A) A monopolist's marginal revenue decreases. (B) A monopolist's marginal revenue increases. (C) A monopolist's marginal revenue increases then increases again as even more units are sold. (D) A monopolist's marginal revenue remains static. A patient reports a penicillin allergy. What question regarding the allergy should the nurse practitioner ask to determine whether a cephalosporin should be prescribed?A. Have you ever taken a cephalosporin?B. How long ago was the reaction?C. What kind of reaction did you have?D. What form of penicillin did you take?