I am confused please help. don’t use me for points.

Answer:

X = 10

Step-by-step explanation:

if we say 1/2 base = a

a² = 13² - 12²

a² = 25

a = √25

a = 5

if 1/2 base = 5 then x = a × 2

hence X = 5 × 2 = 10

Answer:

i think we need a picture???

The corresponding eigenvalues for the given matrix and vector pairs are:

1. Eigenvalue: λ = -2

2. Eigenvalue: λ = -2

3. Eigenvalue: λ = -3

4. Eigenvalue: λ = -10

5. Eigenvalue: λ = -5

1. Matrix: \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

To check if [1; -2] is an eigenvector,

we need to solve the equation Av = λv:

                          \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

                            \(\left[\begin{array}{cc}-10&-8\\24&18\end{array}\right]\)  \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)  = \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

Solving this system of equations,  λ = -2.

2. Matrix: \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

To check if [1; 1] is an eigenvector, we need to solve the equation

Av = λv:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\lambda \left[\begin{array}{cc}1\\1\end{array}\right]\)

This simplifies to:

                         \(\left[\begin{array}{cc}12&-14\\1&-9\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\) = \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)  

Solving this system of equations, we find that λ = -2.

3. Matrix: \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  To check if [1; -2] is an eigenvector, we need to solve the equation Av = λv:

                                            \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) = λ \(\left[\begin{array}{cc}1\\-2\end{array}\right]\)

  This simplifies to:

                                                   \(\left[\begin{array}{cc}-5&-4\\8&7\end{array}\right]\) \(\left[\begin{array}{cc}1\\-2\end{array}\right]\) =  \(\left[\begin{array}{cc}\lambda\\-2\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -3.

4. Matrix: \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  

  To check if [1; 1] is an eigenvector, we need to solve the equation Av = λv:

                                    \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  = λ \(\left[\begin{array}{cc}1\\1\end{array}\right]\)

  This simplifies to:

                                     \(\left[\begin{array}{cc}15&24\\-2&-5\end{array}\right]\) \(\left[\begin{array}{cc}1\\1\end{array}\right]\)  =  \(\left[\begin{array}{cc}\lambda\\\lambda\end{array}\right]\)

  Solving this system of equations, we find that λ = -10.

5. Matrix: \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\)

  Vector: \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

  To check if [3; 1] is an eigenvector, we need to solve the equation Av = λv:

                                        \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\\1\end{array}\right]\)

This simplifies to:

                                       \(\left[\begin{array}{cc}19&-7\\42&-16\end{array}\right]\) \(\left[\begin{array}{cc}3\\1\end{array}\right]\) = λ \(\left[\begin{array}{cc}3\lambda\\\lambda\end{array}\right]\)

Solving this system of equations, we find that λ = -5.

Learn more about Eigen vectors here:

https://brainly.com/question/32640282

#SPJ4

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

ANSWER:

10^11 * 14818

Expand: factor out 10^11: 10^11 (15800-982) = 10^11 * 14818

Answer: it should be the third one down

Step-by-step explanation:

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

Learn more about production

brainly.com/question/31859289

#SPJ11

Answer:

0.9 of an inch

Step-by-step explanation:

Answer:

His beard will be 0.9 inches long after 12 weeks.

Step-by-step explanation:

0.075 x 12 = 0.9

Answer:

3

Step-by-step explanation:

Given

f(x) = - 3x + 5

f(x) = - 4

-3x + 5 = - 4

- 3x = - 4 - 5

- 3x = - 9

x = 3

Hope it will help :)

Answer:

x=3

Step-by-step explanation:

i believe it's like this, i am not sure

Y= -3x +5

-4= -3x+5

subtract 5 on both sides

-9= -3x

divide -3 on both sides

x=3

Based on the given parameters, the value of r is 46/3

The given parameters are

DG = r + 2

GM = 2r - 13

DM = 35

This means that

DM = DG + GM

So, we have

r + 2 + 2r - 13 = 35

Evaluate the like terms

3r = 46

Divide both sides by 3

r = 46/3

Hence, the value of r is 46/3

Read more about line segments at:

https://brainly.com/question/2437195

#SPJ1

1) The solution to the right triangle is:

Angle A ≈ 50°

Angle B = 40°

Angle C = 90°

Side a = 8

Side b ≈ 5.13

2)The solution to the oblique triangle is:

Angle A is determined by sin(A)/11 = sin(50°)/c

Angle B ≈ 40°

Angle C = 50°

Side a = 11

Side b = 5

Side c ≈ 10.95

1) To solve the right triangle, we are given that one angle is 40° and the length of one side, which is a = 8. We can find the remaining side lengths and angles using trigonometric ratios.

Using the sine function, we can find side b:

sin(B) = b/a

sin(40°) = b/8

b = 8 * sin(40°)

b ≈ 5.13

To find the third angle, we can use the fact that the sum of angles in a triangle is 180°:

m∠A = 180° - m∠B - m∠C

m∠A = 180° - 90° - 40°

m∠A ≈ 50°

So, the solution to the right triangle is:

Angle A ≈ 50°

Angle B = 40°

Angle C = 90°

Side a = 8

Side b ≈ 5.13

2) To solve the oblique triangle, we are given the measures of two angles, m∠C = 50° and side lengths a = 11 and b = 5. We can use the Law of Sines and Law of Cosines to find the remaining side lengths and angles.

Using the Law of Sines, we can find the third angle, m∠A:

sin(A)/a = sin(C)/c

sin(A)/11 = sin(50°)/c

c = (11 * sin(50°))/sin(A)

To find side c, we can use the Law of Cosines:

c² = a² + b² - 2ab * cos(C)

c² = 11² + 5² - 2 * 11 * 5 * cos(50°)

c ≈ 10.95

To find the remaining angle, m∠B, we can use the fact that the sum of angles in a triangle is 180°:

m∠B = 180° - m∠A - m∠C

m∠B ≈ 180° - 50° - 90°

m∠B ≈ 40°

So, the solution to the oblique triangle is:

Angle A is determined by sin(A)/11 = sin(50°)/c

Angle B ≈ 40°

Angle C = 50°

Side a = 11

Side b = 5

Side c ≈ 10.95

Learn more about Trigonometric Ratios at

brainly.com/question/23130410

#SPJ4

The height of triangle ABE is 24 cm

From the question, we have the following parameters that can be used in our computation:

The triangle

From the triangle, we have the following ratios

h : 20 = (36 - h) : 10

Express as fraction

h/20 = (36 - h)/10

So, we have

h/2 = (36 - h)

This gives

h = 72 - 2h

So, we have

3h = 72

Divide

h = 24

Hence, the height is 24 cm

Read more about triangles at

https://brainly.com/question/14285697

#SPJ1

Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

For similar question on researchers.

https://brainly.com/question/7965468

#SPJ11

Answer:

(0, 2)

Step-by-step explanation:

Both the lines are intersecting each other at point (0, 2)

So, the solution to the system of equations would be (0, 2)

Hope it helps you in your learning process

Answer:

I think its (0,2) :)

Step-by-step explanation:

This person owns 50% of the money required for property B. But we cannot calculate a percentage without knowing the actual value of property B or how much money the person has.

The question asks what percentage of the money needed for Device B the person has. Without more information on the actual cost of Device B or how much money the person has, we cannot determine an exact percentage.

However, we can use a formula to calculate the percentage of money that the person has for Device B, given the cost of Device B and the amount of money the person has. The formula is:

Percentage = (Money for Device B ÷ Cost of Device B) x 100%

For example, if Device B costs $100 and the person has $50, the percentage of money the person has for Device B would be:

Percentage = ($50 ÷ $100) x 100% = 50%

Therefore, the person has 50% of the money needed for Device B. However, without knowing the actual cost of Device B or how much money the person has, we cannot calculate a specific percentage.

Learn more about Percentage:

brainly.com/question/16941147

#SPJ11

4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).

4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:

Base case: \(5^0 = 1\) is in the set.

Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.

Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.

Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)

By definition, if a divides b, there exists an integer k such that b = ak.

Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)

Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)

Dividing both sides by b (since b is nonzero), we get m = a/b.

Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).

If \(a/b\)  is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.

If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)

\(If m = k = 1, then $a = b.\)

\(If m = k = -1, then a = -b.\)

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).

Learn more about Recursion

https://brainly.com/question/31387281

#SPJ11

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.

Given that,

15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

We have to find which two numbers are they.

We know that,

Let take x and y to denote the two numbers

We get

x + y = 15   ----->equation(1)

x = 4y        ----->equation(2)

Substitute the 4y in equation(1)

(4y) + y = 15

5y = 15

Divide both sides by 5

y = 3.

Substitute y=3 in equation(2)

x=4(3)

x = 12

Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

To learn more about number visit: https://brainly.com/question/2289438

#SPJ4

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

Learn more about probability  at:

https://brainly.com/question/30390037

#SPJ4

The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Answer:  42

Step-by-step explanation:

Math

Answer: 55 senior tickets

Step-by-step explanation:

The tickets that were sold to senior citizen is 55.

When two or more equations are solved together and the solution satisfies all the equation , then the set of equation are termed as system of equations.

It is given in the question that

A movie theater has 400 seats

Tickets at the theater cost

$8 for students

$7 for senior citizens

$10 for adults

All the tickets were sold

Total revenue made from sales = $3,535

If the number of adult tickets sold was 10 less than the number of student and senior tickets combined

Let the ticket sold to students = x

Sold to senior citizen = y

Sold to adults = z

z = (x+y) - 10

x+y+z = 400

x+y+x+y-10= 400

2(x+y) = 410

x+y = 205

z= 205-10

z = 195

8 *x +7*y +10*z = 3535

8x+7y +1950 = 3535

8x+7y = 1585

x+y = 205

8x+8y=1640

y =55

Therefore the tickets that were sold to senior citizen is 55.,

To know more about System of equations

https://brainly.com/question/12895249

#SPJ2

the answer is B. 7

Step-by-step explanation:

it's the number u see the most therefore its the most common

Answer:

D. 10 maybe?

Step-by-step explanation:

because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

For each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

The Bonferroni method is a statistical procedure used to adjust the significance level for multiple comparisons in order to control the familywise error rate. To perform multiple comparisons using the Bonferroni method at the 0.01 level, you would divide the desired overall significance level (0.01) by the number of pairwise comparisons being made.

If you have four levels of treatments and want to compare each pair of treatments, you would have a total of six pairwise comparisons: A vs. B, A vs. C, A vs. D, B vs. C, B vs. D, and C vs. D.

To apply the Bonferroni correction, divide the desired overall significance level of 0.01 by the number of comparisons (6):

Adjusted significance level = 0.01 / 6

The adjusted significance level for each individual comparison would then be:

Adjusted significance level = 0.01 / 6 ≈ 0.00167

So, for each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

Learn more about approximately from

https://brainly.com/question/27894163

#SPJ11

Answer:

(−3)(+2)(3+2)

Step-by-step explanation:

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(32+8+4)

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(+2)(3+2)

Vector w can be expressed as w=1u-2v as linear combination of vector u and v.

Vector equation would be w=Au + Bv

[1,1]=A[5,7] + B[2,3]

Here A and B are constants and we are trying to find their values.

We can split two equations as

1=5A+2B → equation a

1=7A+3B → equation b

Solving these equations by elimination method . Multiplying equation a with 3 and equation b with 2.

3=15A+6B

2=14A+6B

1=A → A=1

Putting value of A in equation b:

1=7+3B

1-7=3B

-6=3B

B=-6/3=-2

A = 1 and B = -2 . It means we can write w as 1u - 2v. We can recheck by plugging the values in any of the vector to confirm if the values are correct or not.

For further information regarding linear combination, click the link below:

brainly.com/question/29151684

#SPJ4

Answer:

12000

Step-by-step explanation:

240÷2=120

120=1%

120×100=12000

12000=100%

Answer: 12,000

Step-by-step explanation:

2% is = 240

1% is 240/2

100% is 240/2 × 100/1