Diane has 36 cats and there are 5 1/2 bottles of
medicine for all the cats. How much of the medicine is each cat
getting.

Answer:

hope it hepls uou...see u soon....

Step-by-step explanation:

6/10

3/5

Answer:

Step-by-step explanation:

Solving

Case 1 : x = +5

Case 2 : x = -5

True. If matrix A is an n × n matrix with linearly independent eigenvectors v1, v2, ..., vn, then the n × n matrix P = [v1 v2 ... vn] forms a matrix of eigenvectors. In other words, the columns of matrix P are the eigenvectors of matrix A.

1. When a matrix A has linearly independent eigenvectors v1, v2, ..., vn, it means that each eigenvector corresponds to a distinct eigenvalue. The eigenvectors span the entire vector space of dimension n.

2. The matrix P = [v1 v2 ... vn] is constructed by arranging the eigenvectors v1, v2, ..., vn as columns. Since the eigenvectors are linearly independent, the matrix P formed by these columns is invertible.

3. When we multiply matrix P by its inverse P^(-1), we obtain the identity matrix I. This implies that P^(-1) exists and is the inverse of P.

4. Now, let's consider the equation A * P = P * D, where D is a diagonal matrix that contains the eigenvalues corresponding to the eigenvectors v1, v2, ..., vn along its diagonal.

5. Multiplying both sides of the equation by P^(-1) from the left, we get P^(-1) * A * P = P^(-1) * P * D, which simplifies to P^(-1) * A * P = D.

6. Since P^(-1) exists, we can rewrite the equation as A = P * D * P^(-1). This equation shows that matrix A can be diagonalized using the matrix P formed by the eigenvectors and its inverse P^(-1).

7. Therefore, matrix P = [v1 v2 ... vn] is indeed an n × n matrix consisting of linearly independent eigenvectors of matrix A.

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Answer:

-3

Step-by-step explanation:

4a - 2(a + b) + 1 = ?

4(2) - 2(2 + 4) + 1

8 - 2(6) + 1

8 - 12 + 1

-4 + 1 = -3

I hope this helps!

Answer:

\( 5\sqrt{3} \)

Step-by-step explanation:

here

tan(60)= p/b

\( \sqrt{3 } = \frac{y}{5} \)

\(y = 5\sqrt{3} \)

Answer:

3/70

Step-by-step explanation:

P(R,B) no replacement:  3/21 x 6/20 = 1/7 x 3/10 or 3/70 reduced

Mathematically, we can express this as B = A₁ ∪ A₂ ∪ A₃ ∪ A₄ ∪ A₅

To mathematically represent the process of cutting a piece of apple into 5 equal and unequal parts and then combining them to form a complete apple, we can use set notation.

Let's define the set A as the original piece of apple. Then, we can divide set A into 5 subsets representing the equal and unequal parts obtained after cutting the apple. Let's call these subsets A₁, A₂, A₃, A₄, and A₅.

Next, we can define a new set B, which represents the complete apple formed by combining the 5 parts. Mathematically, we can express this as:

B = A₁ ∪ A₂ ∪ A₃ ∪ A₄ ∪ A₅

Here, the symbol "∪" denotes the union of sets, which combines all the elements from each set to form the complete apple.

Note that the sizes and shapes of the subsets A₁, A₂, A₃, A₄, and A₅ can vary, representing the unequal parts obtained after cutting the apple. By combining these subsets, we reconstruct the complete apple represented by set B.

It's important to note that this mathematical representation is an abstract concept and doesn't capture the physical reality of cutting and combining the apple. It's used to demonstrate the idea of dividing and reassembling the apple using set notation.

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3u-1/2u or 3u-0,5u or 3u-u/2

Recall that the opposite of 2 is

Therefore, the opposite of the opposite of 2 is

Now, recall that a horizontal number line is of the form:

Therefore, 2 is to the right of zero.

Answer:

On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.

Answer:

5x=20

5x/5=20/5

x=4

Step-by-step explanation:

substitute the 5x

divide both sides by 5 it will be 20 divide by 5

answer is x =4

When comparing the 95% confidence and prediction intervals for a given regression analysis, it's important to understand their purposes and interpretations.

The 95% confidence interval provides a range within which we can be 95% confident that the true mean of the dependent variable lies, given a specific value of the independent variable. It helps us estimate the population mean based on our sample data. For example, if the confidence interval for the average test score of students in a certain class is [80, 90], we can be 95% confident that the true average test score of all students in the class falls between 80 and 90.

On the other hand, the 95% prediction interval provides a range within which we can be 95% confident that an individual observation will fall, given a specific value of the independent variable. It takes into account both the variability in the data and the variability in future individual observations. For instance, if the prediction interval for the test score of a specific student is [75, 95], we can be 95% confident that the student's actual test score will be between 75 and 95.

In summary, the confidence interval estimates the mean of the population, while the prediction interval estimates the range of individual observations. Both intervals are useful in regression analysis, but they serve different purposes. It's important to understand their distinctions and choose the appropriate interval based on the specific context and question at hand.
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Answer:

i dont really know, but it should be 3.6 please say if im right or not

Step-by-step explanation:

Answer:

40600151844.........

Answer:

40, 600, 151,844

Step-by-step explanation:

this is two million seven hundred and forty eight, times two hundred three, to get forty billion six hundred million one hundred fifty one thousand eight hundred forty-four.

Answer:

x=-11 y=-4

Step-by-step explanation:

4x−6y=−20;−2x+4y=6

once you have this, try and find any number. i find trial and error easy if you can find the answer

The sample size required to achieve a 99% confidence interval having margin of error 0.02 would be determined by:

\(n=0.2275\times (\frac{2.581}{0.02} )^2\)

We know that the formula to find the sample size , if prior proportion is available :

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\)

where, Z_α/2 is the critical value of the Normal distribution at α/2,

E is the margin of error,

p is the sample proportion

Here, E the margin of error is 0.02

We know that the alpha(α) level for a 99% confidence level is 0.01

And the critical value for a 99% confidence interval is 2.581

So, \(z_{\alpha/2} = 2.581\)

The proportion of forms with miscalculation is 35%

So, p = 0.35

(1 - p) = 0.65

Using above formula the sample size would be,

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\\\\n=0.35\times (1-0.35)\times (\frac{2.581}{0.02} )^2\\\\n=0.2275\times (\frac{2.581}{0.02} )^2\\\\n=3771.2\\\\n\approx 3771\)

The sample size is 3771

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Answer:

The simplified answer to the given equation is 6√2

Step-by-step explanation:

First, we must simplify the radicals in the equation.

√2 = 1.414213562

∛2 = 1.25992105

Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.

√2 ÷ ∛2 = 1.122462048

Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.

6√2 = 1.22462048

So, our answer here is answer choice B.

Answer:

109

Step-by-step explanat  

i help you

Answer:

see below

Step-by-step explanation:

20 lb of a dried fruit and granola blend 50% dried fruit

mixing 20% dried fruit x lbs

60% dried fruit y lbs

x+y=20 so x=20-y

0.2x+0.6y =0.5*20 =10

0.2(20-y) +0.6y=10

4 -0.2y+0.6y =10

0.4y =6

y=15

x=5

No, it is not less likely that you will get one of the four types of juice, as they are the only options available.

Probability of getting apple juice = 29%

                                                      = 0.29

probability of getting grape juice = 31%

                                                       = 0.31

Probability of getting orange juice = 19%

                                                      = 0.19

Probability of getting pear juice = 21%

                                                      = 0.21

The total probabilities of getting apple, grape, orange, and pear juice sum up to

= 29% + 31% + 19% + 21%

= 100%.

or

= 0.29 + 0.31 + 0.19 + 0.21

= 1.00

This implies,

That every customer will get one of the four types of juice, and there is a 100% chance of getting one of them.

Therefore, the given probabilities are not less likely as it represents chances of one type of juice definitely will be given.

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Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Hello!

\(\large\boxed{C = 3x^{3}}\)

To find C, we can isolate for the "C" factor:

\(12x^{5} = (4x^{2})(C)\)

Divide both sides by 4x² to isolate:

\(\frac{12x^{5}}{4x^{2}} = C\)

Simplify the coefficients: (12 ÷ 4 = 3)

\(\frac{3x^{5}}{x^{2}} = C\)

Divide exponents using the following rule:

\(\frac{x^{a}}{x^{b}} = x^{(a-b)}\)

Plug in the given numbers:

\(\frac{3x^{5}}{x^{2}} = 3x^{(5 - 2)} = 3x^{3}\)

Answer:

Option B

Step-by-step explanation:

By the midsegment theorem,

"Midsegment of a trapezoid is half the sum of the parallel bases"

By this theorem,

y + 6 = \(\frac{1}{2}[(3y-7)+(y+3)]\)

2(y + 6) = (3y + y) +(-7 + 3)

2y + 12 = 4y - 4

2y - 4y = -12 - 4

-2y = -16

2y = 16

y = 8

Therefore, length of the midsegment = y + 6

                                                              = 8 + 6

                                                              = 14

Option B will be the answer.

The set O consists of even numbers that are less than 11. The elements in the set O are {2, 4, 6, 8, 10}. A set is a collection of distinct elements, and the elements in a set are enclosed within curly braces.

The set O consists of even numbers that are less than 11, and the even numbers are those that can be divided by 2 without any remainder. Thus, the elements in the set O are {2, 4, 6, 8, 10}.

The first element in the set is 2, which is the smallest even number. The next even number is 4, followed by 6, 8, and 10. Since the set consists only of even numbers, there are no odd numbers in the set O. Similarly, since the set is defined to have a maximum value of 10, there are no even numbers greater than 10 in the set O.

In summary, the set O consists of the even numbers that are less than 11, and it contains the elements {2, 4, 6, 8, 10}.

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The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

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Answer:

6

Step-by-step explanation:

\(\sf 4-(-2)=4+2=\bf{6}\)

The answer is 6.

SOLUTION-

plotting on number line-

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The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

Chord = 2 • sine (Central Angle) • radius

radius = 8 cm / 2 * 0.86603

radius = 4.6187776405  cm

Step-by-step explanation: