The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.

Answers

Answer 1
Answer:

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

f(n)=3n

Therefore, the required function rule for this situation is f(n)=3n.


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How would you find the volume of the solid in the figure shown above?A. Use the formula for the volume of a frustum.
B. You can only find an approximate volume of this figure.
C. Use the formula for the volume of a prismoid.
D. Divide it into solids whose volumes you can find.

Answers

The answer is D and it's pretty simple to do:

V_(1)=a*b*c\n V_(2)= \pi r^(2) h\n V_(3)= (1)/(3) \pi r^(2)h

Answer:

D

Step-by-step explanation:

Divide it into solids whose volumes you can find.

took the pennfoster test was correct

Find the value of 21-18 3 2. O1 2 O2 O9 18​

Answers

Thank you for asking your question!

Have more? Just ask!

Answer:

9

Explanation:

18 / 3 = 6 x 2 = 12.

21 - 12 = 9

Hope this helps!

Answer:

3

,

3

,

2

O

,

2

O

2

,

O

9

,

18

Step-by-step explanation:

what is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? n = 1 n = −3 n = fraction 3 over 4 n = fraction 1 over 4

Answers

(4)/(5)n-(3)/(5)=(1)/(5)n\ \ \ \ \ |multiply\ both\ sides\ by\ 5\n\n4n-3=n\ \ \ \ |add\ 3\ to\ both\ sides\n\n4n=n+3\ \ \ \ |subtract\ n\ from\ both\ sides\n\n3n=3\ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{n=1}

Answer:

The correct result would be n = 1.

Step-by-step explanation:

4/5n - 3/5 = 1/5n     /*5n

4 - 3/5 * 5n = 1

4 - 3n = 1

4 - 1 = 3n

3 = 3n

n = 1

5.Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs haveshort tails, and fifteen of the dogs have long hair. There is only one dog that is black with
a short tail and long hair. Two of the dogs are black with short tails and do not have long
hair. Two of the dogs have short tails and long hair but are not black. 6 dogs are only
black. How many dogs are black with long hair but do not have short tails. How many
have only Long hair?

Answers

Answer:

Step-by-step explanation: yes

Final answer:

There are 3 black dogs with long hair but do not have short tails and 12 dogs that have only long hair.

Explanation:

The problem at hand relates to the field of set theory and involves operations such as counting and deduction. The first step is to organize the data into different categories of dogs: black dogs, dogs with short tails, and dogs with long hair. Thereafter, we combine the categories based on the additional information provided.

Firstly, there 12 black dogs. Of these, 1 dog has a short tail and long hair, 2 dogs have short tails and no long hair, and 6 dogs are only black. This sums up to 9 dogs. Thus, there are 12-9 = 3 black dogs with long hair but do not have short tails.

Secondly, 15 dogs have long hair. Among these, 1 dog is black with a short tail, and 2 dogs have short tails but are not black. This sums up to 3 dogs, leaving 15-3= 12 dogs with only long hair.

Learn more about Set theory here:

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Alexis can type 35 words in a minute. her friend Jonathan can type 40 words in a minute. How long will it take Alexis to type 140 words?

Answers

Answer:

a situation of proportionality is assumed

35 words 140 words

1min(1*140)/35=4min

it takes 4min to type 140 words

Step-by-step explanation:

Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.please and thank you

Answers

Keywords:

average rate of change, parabola, interval, points

For this case we have to find the average rate of change of a parabola in the interval fromx = -2 to x = 0. To do this, we need two points for the parabola pass, and apply the following formula:

AVR = \frac {f (x_ {2}) - f (x_ {1})} {x_ {2} -x_ {1}}

We have the following points, taking into account thaty = f (x):

(x_ {1}, f (x_ {1})) = (- 2, -1)\n(x_ {2}, f (x_ {2})) = (0, -1)

Substituting:

AVR = \frac {-1 - (- 1)} {0 - (- 2)}\nAVR = \frac {-1 + 1} {0 + 2}\nAVR = 0

So, the average rate of change for the given graph is 0 in the given interval

Answer:

AVR = 0\ from\ x = -2\ to\ x = 0

Answer:

Average rate of change(A(x)) of f(x) over the interval [a, b] is given by:

A(x) = (f(b)-f(a))/(b-a)

As per the statement:

From the given graph as shown :

At x = -2

then;

f(-2) = -1

At x = 0

then;

f(0) = -1

To find the average rate of change for the given graph from x = –2 to x = 0 .

Substitute the given values we have;

A(x) = (f(0)-f(-2))/(0+2)

A(x) = (-1-(-1))/(2)

A(x) = (-1+1)/(2)

A(x) =0

Therefore, the average rate of change for the given graph from x = –2 to x = 0 is, 0