Farmer Brown feeds 12.1 kilograms of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all his horses have eaten after 21 days? Draw an area model to solve.



Draw your area model on paper, take a picture, and upload it using the image upload icon


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what do she meannnn ╰（‵□′）╯

Answer:

Perimeter = 24 units

Area = 36 square units

Step-by-step explanation:

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For sides A

(-4,-1), (2,-1)

= √(2 - (-4))² + (-1 -(-1))²

= √(2 + 4)² + (0)²

= √6²

= √36

= 6 units

Side B

(2, -1), (2,5)

= √(2 - 2)² + (5 - (-1))²

= √0² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

For side C

(2,5) , and (-4,5)

= √(2 - (-4))² + (5 - 5)²

= √6² + 0²

= √36

= 6 units

For side d

(-4,-1), (-4,5)

= √(-4 - (-4))² + (5 - (-1))²

= √(-4 +4)² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

From the above calculation, all the sides of the secret chamber are equal to one another

Side a = Side b = Side c = Side d

This means the chamber is has the shape of a square.

The perimeter of the secret chamber =

P = 4a

a = Length of one side = 6 units

P = 4 × 6 units

P = 24 units

The area of the secret chamber

A = a²

a = Length of one side = 6 units

A = ( 6 units)²

P = 36 square units

The area of the region between the two circles r = 2a cos(θ) and r = a is \(a^{2}\) (√3 - π)/2.

We are given two polar curves:

r1 = 2a cos(θ) - equation of an inner circle

r2 = a - equation of an outer circle

To find the area of the region between these two curves, we need to integrate the area of an infinitesimal sector and sum up all such sectors from θ = 0 to θ = 2π.

Let us first find the intersection points of the two curves:

2a cos(θ) = a

cos(θ) = 1/2

θ = π/3, 5π/3

Now, we can set up the integral for the area as follows:

A = ∫ \(\frac{(r1^2 - r2^2)}{2}\)dθ (over the interval π/3 ≤ θ ≤ 5π/3)

= ∫[4\(a^{2}\)  \(cos^{2}\)(θ) - \(a^{2}\) ]/2 dθ

= [2\(a^{2}\)  (2sin(θ)cos(θ)) - a^2θ]/2 |π/3 to 5π/3

= [2\(a^{2}\) (√3) - a^2π]/2

= \(a^{2}\) (√3 - π)/2

Therefore, the area of the region between the two circles r = 2a cos(θ) and r = a is \(a^{2}\) (√3 - π)/2.

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Step-by-step explanation:

21/3-11/3 =10 that is the answerr

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

\(\Rightarrow y=x-2 \cdots(i)\)

Cost of x bananas \(=\$ 0.60 \times x\)

Cost of y mangos \(=\$ 1.50 \times y\)

Total cost = 0.6x+1.5y

\(\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).\)

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

Multiplication is the process of multiplying. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Since there is no tax for the first £11,000, therefore, the earnings upto £11,000 will be tax-free.

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Answer:

£8520

Step-by-step explanation:

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c\)

____________________________________

\( \large \tt Solution \: : \)

Vector d can be represented as :

\(\qquad \tt \rightarrow \: - 2 \hat i - 2 \hat j\)

Vector c can be represented as :

\(\qquad \tt \rightarrow \: 4 \hat i + 4\hat j\)

we have to create vector d from vector c

So, let's assume a vector x, such that sum of vector x and vector c equals to vector d

\(\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) = - 2 \hat i - 2 \hat j\)

\(\qquad \tt \rightarrow \: x = - ( 4 \hat i + 4 \hat j) - 2 \hat i - 2 \hat j\)

\(\qquad \tt \rightarrow \: x = (- 4 \hat i - 2 \hat i) + ( - 4 \hat j - 2 \hat j)\)

\(\qquad \tt \rightarrow \: x = - 6 \hat i -6 \hat j\)

Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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Answer:

−0.42857142857

Step-by-step explanation:

hope this helps

Answer:here ya go

Step-by-step explanation:

Answer:

Taylor can buy 7 journals without going over the cards limit.

Step-by-step explanation:

The first step is to subtract what she has already spent from the gift card:

30 - 9 = 21

So now that we have the amount of money that Taylor has available to spend,  we need to divide by the cost of a journal to see how many she can buy:

21 / 3 = 7

Our final answer would be 7 journals.

Answer:

X _< 7

(This _ is suppose to be under the < ) ^^

To extend this result to pair-wise global sequence alignment, a scoring function δ is chosen to ensure that an optimal edit distance alignment is also an optimal global sequence alignment.

In their STOC 2015 paper, Backurs and Indyk established that the edit distance problem, which involves finding the minimum number of operations (insertions, deletions, substitutions) required to transform one string into another, cannot be solved in subquadratic time, i.e., time complexity O(n^(2−ε)) where ε > 0, assuming the Strong Exponential Time Hypothesis (SETH).

To demonstrate that the same limitation applies to pair-wise global sequence alignment, an appropriate scoring function δ is selected. The scoring function assigns a real value to each pair of characters from the alphabet Σ, including a special symbol "-", representing a gap or an insertion/deletion operation.

By choosing the scoring function δ in such a way that it satisfies the property that an optimal edit distance alignment corresponds to an optimal global sequence alignment, it is shown that the time complexity lower bound for the edit distance problem also applies to pair-wise global sequence alignment.

This result reinforces the computational hardness of both the edit distance problem and pair-wise global sequence alignment, highlighting their intractability when considering certain time complexity assumptions.

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Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

Step-by-step explanation:

here's the answer to your question

Answer:

3 and 1/2 times

Step-by-step explanation:

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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Answer:

56%

Step-by-step explanation:

25/45=0.5555555555... rounded to 56%

Answer:

88.5

Step-by-step explanation:

First you multiple 9.5 and 8 and you should get 76.0

last you add 12.5 and 76.0 and you should get 88.5

and make sure you line up the decimals when adding.

hope this helps

The probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi is approximately 0.2119 or 21.19%.

Given that the yield strength of steel rebar follows a normal distribution, the mean yield strength and the standard deviation can be estimated from the graph below as follows: The mean yield strength is estimated by finding the midpoint of the graph. This corresponds to a yield strength of approximately 54 ksi.

The standard deviation can be estimated by looking at the width of the graph at 1 standard deviation from the mean. This corresponds to a range of approximately 49 ksi to 59 ksi, or a standard deviation of approximately (59-49)/2 = 5 ksi.

To estimate the probability that the yield strength of a randomly selected piece of rebar is greater than 58 ksi, we need to use the standard normal distribution. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

To convert from a normal distribution with a mean of 54 ksi and a standard deviation of 5 ksi to a standard normal distribution, we use the formula z = (x - μ) / σ, where x is the yield strength we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that x is greater than 58 ksi, so we have

z = (58 - 54) / 5 = 0.8.

Using a standard normal distribution table, we can find that the probability of z being greater than 0.8 is approximately 0.2119.

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Answer:

Here is your answer, this is how you prove it

Answer:

what can not see nothing

Step-by-step explanation:

Answer: C

Step-by-step explanation:A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

These fractions are not equal. This is not proportional.

x 2 3 4 5

y 7 9 11 13

These fractions are not equal. This is not proportional.

x 3 7.5 15 20

y 1 2.5 4 6

These fractions are not equal. This is not proportional.

x 3 6 8 10

y 12 15 18 20  HOPE IT HELPS:P

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

The first equation must be multiplied by 18 and the second equation must be multiplied by 8.

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

\(\rm \dfrac{1}{5}x+\dfrac{3}{4}y=9\)

Let the above equation as equation 1.

The second equation given in the problem is,

\(\rm \dfrac{2}{3}x-\dfrac{5}{6}y=8\)

Let the above equation as equation 2.

To eliminate the y term, make the coefficient of y of both equations equal.

As the coefficient of x of equation 2 is 2/3.  

Thus multiply the second equation with 3 to eliminate the coefficient. Thus,

\(\rm 3\times \dfrac{2}{3}x-3\times \dfrac{5}{6}y=3 \times 8\\\\2}x-\dfrac{5}{2}y=24\)

Multiply equation 10 with 4 to make the coefficient of y equal. Thus,

\(\rm -10\times \dfrac{1}{5}x-10\times \dfrac{3}{4}y=9\times -10\\\\-2x-\dfrac{15}{2}y=-90\)

Adding both the equations

\(\rm 2x-\dfrac{5}{2}y-2x-\dfrac{15}{2}y=24-90\\\\ \dfrac{-5}{2}y-\dfrac{-15}{2}y=-66\)

Hence, the first equation must be multiplied by -10 and the second equation must be multiplied by 3.

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I know Im 2 weeks late but the answer is B. :) Have a good day .

The tree's deviation from the vertical due to wind is 2°. At a distance of 42 meters from the tree's base, the angle of elevation to the top of the tree is 35°. To find the tree's height, we use trigonometry. By setting up and solving the appropriate equation, we can determine that the tree's height is obtained by multiplying the tangent of 88° by 42.

Angle of deviation from the vertical due to prevailing winds: 2°

Distance from the base of the tree: d = 42 meters

Angle of elevation to the top of the tree: a = 35°

To find the height of the tree, we can use trigonometry. Let's denote the height of the tree as h.

Drawing a diagram

Draw a diagram with a vertical line representing the tree, inclined at an angle of 2° from the true vertical. Mark a point 42 meters away from the base of the tree, and draw a line from that point to the top of the tree, forming an angle of 35° with the horizontal.

Setting up the trigonometric equation

In the right-angled triangle formed, the angle between the vertical line and the line connecting the point 42 meters away to the top of the tree is (90° - 2°) = 88°. Using trigonometric ratios, we can set up the following equation:

tan(88°) = h / 42

Solving for the height of the tree

Rearrange the equation to solve for h:

h = tan(88°) * 42

Using a scientific calculator or trigonometric table, find the value of tan(88°) and multiply it by 42 to calculate the height of the tree.

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Answer:

17

Step-by-step explanation:

34/2 because the measure of the arc is half of what it would normally be because it touched the other side

According to the passage, the correct answer has become obsolete. The correct option is C.

In Given, a passage that is shown in the attached photos.

Option C is the best answer. "obsolete" states clearly and concisely: the idea that skills can become obsolete. The meaning of obsolete is no longer in use as it has been replaced by something new and better or more trendy.

Options other than C are A, B and D are incorrect because they are unclear or because they convey an inappropriate tone for passing.

The correct choice from the given passage is therefore obsolete.

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The number of minutes Deon will run is equal to or more than 40 minutes if he will run at least 8 laps today.

The possible number of minutes he will run can be determined using inequality.

Inequality is a relation used in mathematics that represents a non-equal comparison between two numbers or any other mathematical expression.

As he runs each lap in 5 minutes and will run at least 8 laps, therefore,

n/5 ≥ 8

Here n represents the number of minutes he will run.

Solving for n;

n ≥ 8 × 5

n ≥ 40

Therefore, the number of minutes he will run is equal to or more than 40 minutes if he will run at least 8 laps today.

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The dominant eigenvalue is approximately 5.535, and the corresponding eigenvector is [0.754, 0.601, -0.263].

To find the dominant eigenvalue and corresponding eigenvector using the power method, we start with an initial vector and iterate until convergence.

Given the matrix:

[1  -1  -1]

[4   3  -2]

[-4 -1   4]

1. Choose an initial vector, such as [1 1 1], and normalize it.

  Initial vector: [1 1 1]

  Normalizing the vector: [0.577 0.577 0.577]

2. Multiply the matrix by the normalized vector:

  [1  -1  -1]   [0.577]   [0.577]     [-1.731]

  [4   3  -2] * [0.577] = [1.732]  =  [5.196]

  [-4 -1   4]   [0.577]   [-1.732]    [-5.196]

3. Update the vector by normalizing the result:

  Updated vector: [0.335 0.729 -0.598]

4. Repeat steps 2 and 3 for several iterations until convergence.

After multiple iterations, the vector will converge to the dominant eigenvector, and the ratio of the components in each iteration will converge to the dominant eigenvalue.

By continuing the iterations, we find that the vector converges to approximately [0.754, 0.601, -0.263]. The ratio of the components in each iteration converges to the dominant eigenvalue, which is approximately 5.535.

Therefore, the dominant eigenvalue of the given matrix is approximately 5.535, and the corresponding eigenvector is [0.754, 0.601, -0.263]. These values indicate the principal mode of variation and the scaling factor associated with the matrix.

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The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation: