Divide. Write the quotient in lowest terms. 5 2/3 DIVIDED BY 4 HELP ME PLEASE

Answer:

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.

Step-by-step explanation:

The daily consumption of water in the farm must be:

\(x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)\)

\(x = 235.2\,L\)

The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

-9/4

Step-by-step explanation:

-8-1 = -9

2-(-2) = 4

Answer

x=-4

y=9

Step-by-step explanation:

This can be answered by the concept of Matrix. we have proved that tr(ab) = tr(a)tr(b).

To prove that tr(ab) = tr(ba), we have:

tr(ab) = ∑ᵢ(ab)ᵢᵢ = ∑ᵢ∑ⱼaᵢⱼbⱼᵢ (using matrix multiplication)

Interchanging the order of summation, we get:

tr(ab) = ∑ⱼ∑ᵢbⱼᵢaᵢⱼ = ∑ᵢ(ba)ᵢᵢ = tr(ba)

Therefore, we have proved that tr(ab) = tr(ba).

Now, to prove that tr(ab) = tr(a)tr(b), we have:

tr(ab) = ∑ᵢ(ab)ᵢᵢ = ∑ᵢ∑ⱼaᵢⱼbⱼᵢ (using matrix multiplication)

We can rewrite the terms aᵢⱼ and bⱼᵢ as follows:

aᵢⱼ = [a(i,1), a(i,2), ..., a(i,n)] * [0, 0, ..., 1, ..., 0]ᵀ, where the 1 is in the j-th position.

bⱼᵢ = [b(1,j), b(2,j), ..., b(n,j)] * [0, 0, ..., 1, ..., 0]ᵀ, where the 1 is in the i-th position.

Therefore, we have:

tr(ab) = ∑ᵢ∑ⱼ[a(i,1), a(i,2), ..., a(i,n)] * [0, 0, ..., b(1,j), ..., 0]ᵀ * [b(1,j), b(2,j), ..., b(n,j)] * [0, 0, ..., 1, ..., 0]ᵀ

Using the associative and distributive properties of matrix multiplication, we can rewrite this expression as:

tr(ab) = ∑ᵢ[a(i,1), a(i,2), ..., a(i,n)] * [b(1,i), b(2,i), ..., b(n,i)] * [0, 0, ..., 1, ..., 0]ᵀ * [0, 0, ..., 1, ..., 0] * [0, 0, ..., 1, ..., 0]ᵀ

Notice that the term [a(i,1), a(i,2), ..., a(i,n)] * [b(1,i), b(2,i), ..., b(n,i)] is just the dot product of the i-th row of a with the i-th column of b, which is equal to the (i,i)-th element of the matrix product ab.

Therefore, we have:

tr(ab) = ∑ᵢ(ab)ᵢᵢ = tr(ab)

Using the fact that tr(a) = ∑ᵢaᵢᵢ, we can rewrite the expression for tr(ab) as:

tr(ab) = ∑ᵢ∑ⱼaᵢⱼbⱼᵢ = ∑ᵢaᵢᵢ ∑ⱼbⱼⱼ = tr(a) tr(b)

Therefore, we have proved that tr(ab) = tr(a)tr(b).

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Given the scores of a high school entrance exam normally distributed with a mean Mu = 82. 4 and standard deviation Sigma = 3. 3. The percentage of scores between 75.8 and 89 is 95.5%.

To find the percentage of scores between 75.8 and 89 in a normal distribution with mean μ = 82.4 and standard deviation σ = 3.3, we can use the properties of the standard normal distribution.

First, we need to standardize the values of 75.8 and 89 using the formula:

z = (x - μ) / σ

For 75.8:

z1 = (75.8 - 82.4) / 3.3 = -1.997

For 89:

z2 = (89 - 82.4) / 3.3 = 1.997

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z1 and z2. This area represents the percentage of scores between 75.8 and 89.

Using a standard normal distribution table, the area between -1.997 and 1.997 is approximately 0.955.

Therefore, the percentage of scores between 75.8 and 89 is 95.5%.

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In a case whereby Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil the amount of peanut butter she should use can be expressed as  2 cups of peanut butter.

The concept that will be used is simplification. Base on the provided information from the question,

(1/2 cup of oil )= (1 cup of peanut butter)

we can represent (1 cup of oil)  as  (x)

The if we perfor a Cross Multipliplication we have:

(1/2x) =( 1 × 1)

x = (1 × 2/1)

x = 2 cups of peanut butter.

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Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt(A /pi ) = sqrt(r^2)

sqrt(A /pi ) = r

Answer:

sqrt(A /pi ) = r

Step-by-step explanation:

Answer:

\(x=2\)

Step-by-step explanation:

I believe your question is:

For what value of \(x\) does \(3^{2x}=9^{3x-4}\)?

—

First, rewrite \(9\) as \(3^2\):

\(3^{2x}=(3^2)^{3x-4}\)

Then, use exponentiation to apply the \((a^b)^c=a^{bc}\) rule:

\(3^{2x}=3^{2(3x-4)}\)

Rewrite the expression as a non-exponential one since the bases (\(3\)) are equal on both sides:

\(2x=2(3x-4)\)

Distribute the \(2\):

\(2x=6x-8\)

Subtract \(6x\) from both sides:

\(-4x=-8\)

Divide both sides by \(-4\):

\(x=2\)

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

To find the change of coordinates matrices P and Q, we need to express the basis vectors of each basis in terms of the other two bases and use these to construct the corresponding change of coordinates matrices.

First, let's express the basis vectors of each basis in terms of the other two bases:

E basis:

1 = 1(1) + 0(t) + 0(t^2) + 0(t^3)

t = 0(1) + 1(t) + 0(t^2) + 0(t^3)

t^2 = 0(1) + 0(t) + 1(t^2) + 0(t^3)

t^3 = 0(1) + 0(t) + 0(t^2) + 1(t^3)

B basis:

1 = 0(1) + 1(1+2t) + 2(2-t+3t^2) + 0(4-t+t^3)

t = 0(1) + 2(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3)

t^2 = 0(1) - 3(1+2t) + 4(2-t+3t^2) + 0(4-t+t^3)

t^3 = 1(1) - 4(1+2t) + 1(2-t+3t^2) + 1(4-t+t^3)

C basis:

1+3t+t^2 = 1(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3)

2+t = 1(1) + 0(t) + 0(t^2) + 1(t^3)

3t-2+4t^3 = 0(1+2t) + 3(2-t+3t^2) + 0(4-t+t^3)

3t = 0(1) + 0(t) + 1(t^2) + 0(t^3)

Now we can construct the change of coordinates matrices P and Q:

P matrix:

The columns of P are the coordinate vectors of the basis vectors of E with respect to B.

First column: [1, 0, 0, 0] (since 1 = 0(1) + 1(1+2t) + 2(2-t+3t^2) + 0(4-t+t^3))

Second column: [1, 2, -3, -4] (since t = 0(1) + 2(1+2t) - 1(2-t+3t^2) + 0(4-t+t^3))

Third column: [0, -1, 4, -1] (since t^2 = 0(1) - 3(1+2t) + 4(2-t+3t^2) + 0(4-t+t^3))

Fourth column: [0, 0, 0, 1] (since t^3 = 1(1) - 4(1+2t) + 1(2-t+3t^2) + 1(4-t+t^3)

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Answer:

7-56n

Step-by-step explanation:

By using the distributive property you multiply the 7 to the 1 which equals 7. Then you distribute the 7 to the -8n which gives you -56n becaus emultiplying a negative and a possitive gives you a negative.

The required solution is -56n+7.

It is required to find the solution.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Rearrange terms

7(1 - 8n)

=7(-8n+1)

Then distribute by multiplying 7 we get,

-56n+7

Therefore, the required solution is -56n+7.

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Yes the triangle with dimension 3 cm , 4cm , 5 cm is  a right angled triangle.

Given,

Dimensions : 3 cm , 4cm , 5 cm .

Here,

In any right angled triangle the Pythogoras theorem holds trure .

Pythogoras theorem ,

P² + B² = H²

P = perpendicular

B = base

H = hypotenuse .

So,

In triangle ,

3cm , 4cm , 5cm

Apply pythogoras theorem .

Let ,

P =3cm

B = 4cm

H = 5cm

3² + 4² = 5²

25 = 25 .

Thus the triangle is right angled triangle .

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Answer:

1) 24

2) 42

3) 26

4)44

Step-by-step explanation:

1) 2(8+4) = 2*12 = 24

2) 2(15+6) = 2*21 = 42

3) 2(4+9) = 2*13 = 26

4) 2(12+10) = 2*22 = 44

Answer:

2

Step-by-step explanation:

The median of a data set is the middle value when the data is arranged in order of size.

The given table of data is:

\(\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\frac{3}{4}&3&1&8\\\cline{1-4}\vphantom{\dfrac12}5&\frac{1}{4}&\frac{3}{5}&\frac{7}{2}\\\cline{1-4}\end{array}\)

Arrange the data in order of size:

\(\dfrac{1}{4},\;\dfrac{3}{5},\;\dfrac{3}{4},\;1,\;3,\;\dfrac{7}{2},\;5,\;8\)

As there are 8 data values, the median is the average of the two middle values.

The two middle values are 1 and 3.

The average of 1 and 3 is 2:  

\(\dfrac{1+3}{2}=\dfrac{4}{2}=2\)

Therefore, the median of the given data is 2.

Answer:

16

Step-by-step explanation:

tan^-1 (2.1/ 7.2) = 16 .26...

THE ANSWER IS

?????

36

Answer:

Step-by-step explanation:

METHOD 1:

\(\begin{array}{ccc}27&-&75\%\\\\x&-&100\%\end{array}\qquad|\text{cross multiply}\)

\((75)(x)=(27)(100)\\\\75x=2700\qquad|\text{divide both sides by 75}\\\\x=36\)

METHOD 2:

\(n\)-a number

\(p\%=\dfrac{p}{100}\\\\75\%=\dfrac{75}{100}=0.75\)

75% of a number is 27:

\(0.75\cdot n=27\qquad|\text{divide both sides by 0.75}\\\\n=36\)

Answer:

105.47 hours

Step-by-step explanation:

1300x0.13=172.9

172.9+1300=1502.9

1502.9/14.25=105.47

The probability that you draw one marble that is blue and then another marble that is green without replacing the first one is 4/45.

The probability of drawing a blue marble on the first draw is 4/10 (since there are 4 blue marbles out of 10 total marbles in the bag). Since the marble is not replaced, there will be one less marble in the bag for the second draw. So, for the second draw, the probability of drawing a green marble is 2/9 (since there will be 9 marbles left in the bag, including 2 green marbles).

To find the probability of both events happening together (drawing a blue marble and then a green marble), we need to multiply the probabilities of the individual events:

P(drawing blue marble and then green marble) = P(drawing blue marble) x P(drawing green marble after blue marble)

                                           = (4/10) x (2/9)

                                           = 8/90

                                           = 4/45

Therefore, the probability of drawing one marble that is blue, DO NOT replace it, and drawing another marble that is green is 4/45.

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Using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction.

The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.

Mathematical logic and philosophical logic are frequently used to support the claim that "when it rains, objects outside become wet.

The grass is outside, therefore: when it rains, the grass gets wet."

A finding of the rule is supported by inductive reasoning.

So, according to the given, we can easily guess that Kaylon is wrong because the shaded temperature is -°.

Therefore, using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

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There were 20 businessmen at the meeting.

Given that, a group of businessmen were at a networking meeting.

Each businessman exchanged his business card with every other businessman who was present.

a) 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 120 exchanges =

120 × 2 = 240 business cards

If there were 16 businessmen, 240 business cards were exchanged.

b) 380 ÷ 2 = 190

190 = (19 × 20) ÷ 2 = 19 + 18 + 17 + … + 3 + 2 + 1

If there was a total of 380 business cards exchanged, there were 20 businessmen at the meeting.

Hence, there were 20 businessmen at the meeting.

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The complete question is:-

A group of businessmen were at a networking meeting. Each businessman exchanged his business card with every other businessman who was present.

a) If there were 16 businessmen, how many business cards were exchanged?

b) If there was a total of 380 business cards exchanged, how many businessmen were at the meeting?

Using the numbers to indicate their locations as pairs of x and y values. Euclidean distance is used to measure all distances.

a. Using the k-means algorithm, we can group the points into three clusters based on their initial cluster centers. The first cluster consists of the points (18, 10), (21, 11), (22, 22), (24, 15), (26, 12), and (26, 13), the second cluster consists of the points (27, 14), (40, 27), (41, 29), (42, 20), and (44, 28), and the third cluster consists of the points (30, 33), (31, 39), (35, 37), (39, 44), (46, 21), (47, 30), (48, 31), and (49, 23).

The silhouette approach, which compares how similar each point is to the points in its own cluster to the points in other clusters, can be used to assess the quality of the clusters. A high silhouette value denotes a well-clustered point, while a low silhouette value denotes a possible incorrect cluster assignment.

b. In hierarchical agglomerative clustering, we first create individual clusters for each point, which are then combined to create a single cluster that contains all of the points. Depending on how they calculate the separation between clusters, the three distinct link approaches will result in a variety of clustering outcomes.

The minimal distance between any two points in each of the two clusters is used by single link to calculate the separation between the clusters. Because it only takes into account the closest pair of points, this can lead to long, thin clusters.

The distance between the clusters is calculated using the maximum distance between any two points in the two clusters. Due to the fact that it only takes into account the farthest pair of points, this can lead to compact, spherical clusters.

The average link calculates the separation between the two clusters by averaging out all of the distances between the points in the two clusters. This takes into account all possible pairs of points and may lead to clusters with more symmetrical shapes.

In general, a single link will create clusters that are the most compact, a complete link will create clusters that are the most spherical, and an average link will create clusters that are more evenly shaped.

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Answer: b

Step-by-step explanation:

The equation is equivalent to pq=r is option (C) q=logR p

To determine which equation is equivalent to pq=r, we can use logarithmic properties. Taking the logarithm of both sides of the equation, we get

log(pq) = log(r)

Using the property that log(a×b) = log(a) + log(b), we can simplify the left side of the equation

log(p) + log(q) = log(r)

Now, we can compare this expression to each of the answer choices

A) p = logR q

Substituting this into the equation, we get

log(p) + logR(q) = log(r)

This is not equivalent to our expression, so A is not the correct answer.

B) p = logQ r

Substituting this into the equation, we get

log(logQ r) + log(q) = log(r)

This is also not equivalent to our expression, so B is not the correct answer.

C) q = logR p

Substituting this into the equation, we get

log(p) + logR(q) = log(r)

This matches our expression, so C is the correct answer.

D) q = logP r

Substituting this into the equation, we get

log(p) + log(q) = log(logP r)

This is not equivalent to our expression, so D is not the correct answer.

Therefore, the correct option is (C)  q=logR p

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Answer:

f(x)=5

Step-by-step explanation:

3(4)-7

12-7

5

Hope This Helps!

Answer

See in pic

Step-by-step explanation:

The terminal point is (0.5, 0.866), and the value of the tangent is 0.173.

For any angle a, the coordinates of the terminal point are given by:

x = cos(a)

y = sin(a).

In this case, the angle is a = pi/3

Then the coordinates of the terminal point are:

x = cos(pi/3) = 0.5

y = sin(pi/3) = 0.866

So the terminal point is ( 0.5, 0.866)

And the tangent of that angle is equal to the quotient between the y-component and the x-component:

tan(pi/3) = 0.866/0.5 = 0.173

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Answer:

Terminal point: (1/2,sqrt3/2); tan 0 = sqrt3

Step-by-step explanation:

I am sorry if this is not right but I am pretty sure it is!

(Edit: It was right on the program!)

The equation is 2.54x. 12 inches is approximately 30.48 centimeters.

The area of mathematics known as algebra is used to help express issues or circumstances as mathematical expressions. We use numbers with definite or fixed values in algebra, such as 3, 3, 0.033, etc. Along with numbers, algebra uses variables like a, b, and c. An example of an algebraic expression is 3x + 10. Here 3 and 10 are fixed numbers and x is a variable.

Given that an inch = 2.54cms

We have to determine the number of cms for 12 inches

X is the number of inches

2.54x

Substitute 12 in place of x

= 2.54(12)

= 30.48

Therefore 12 inches is approximately 30.48 centimeters.

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