Select the interval that contains 39−−√
.

Step-by-step explanation:

Since we only have a point and the slope. Then we can write the equations in point-slope form [(y - y₁) = m(x - x₁)], the convert to slope-intercept form ( y = mx + c ).

Write the equation in point-slope form

  y - (-7) =  - 2 (x - (-5))  

   y + 7 =  -2 ( x + 5 )

Transpose to determine slope-intercept form

      since y + 7 =  -2 ( x + 5 )

                      y = -2 x - 10 - 7

Write the equation in point-slope form

  (y - 2) =  2 (x - (-4))  

   y - 2 =  2 ( x + 4 )

Transpose to determine slope-intercept form

      since  y - 2 =  2 ( x + 4 )

                      y = 2 x + 8 + 2

95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

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A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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Ariana invested $9,000. "rate" is the annual interest rate as a decimal, and "time" is the number of years.

We can use the formula for simple interest to find how much money Ariana invested:

Simple interest = (principal) x (rate) x (time)

where "rate" is the annual interest rate as a decimal, and "time" is the number of years.

We are given that the interest earned is $1,485, the rate is 5.5%, and the time is 3 years. Therefore, we can plug in these values and solve for the principal:

$1,485 = P x 0.055 x 3

where P is the principal.

Simplifying, we get:

$1,485 = 0.165P

Dividing both sides by 0.165, we get:

P = $9,000

Therefore, Ariana invested $9,000.

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Answer:

\(y = 7\)

\(x = 7 \sqrt{2} \)

Answer:

The first image is the answer and the second image is the explanation.

Step-by-step explanation:

Answer: Not sure but this may help!

Step-by-step explanation:

A = 7 —>

52 keys which means A is 7 keys to the right and there is about 7 A keys. 52 divided by 7 = around 7. I don’t know the question but I need points!

Answer:

x=3

Step-by-step explanation:

7

=

2

+

1

7=2x+1

7=2x+1

Solve

1

Subtract

1

1

1

from both sides of the equation

7

=

2

+

1

7=2x+1

7=2x+1

7

−

1

=

2

+

1

−

1

7{\color{#c92786}{-1}}=2x+1{\color{#c92786}{-1}}

7−1=2x+1−1

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

3

=

Answer:

x=3

Step-by-step explanation:

g(x)=7

7=2x+1

subtract 1 on both sides

6=2x

divide by 2 on both sides

x=3

To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,

7.123 < 7.213

The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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The histogram of the sale price of houses appears to be skewed to the right, indicating that the majority of sale prices are located on the lower end of the price range. The majority of sale prices seem to be located between $100,000 and $400,000, with very few sale prices above $600,000.

An exponential distribution would not be a reasonable fit for the sale price of homes because it assumes a continuous variable with a constant rate of change. The sale price of homes is not a continuous variable, as it is determined by factors such as location, condition, and size. A normal distribution could potentially be a reasonable fit if the data was centered around a mean and did not have any significant outliers. However, as the histogram shows a skewed distribution, a gamma distribution may be a more appropriate fit as it allows for skewness in the data.

The scatterplot of first floor area vs. sale price shows a positive relationship between the two variables. As the first floor area increases, the sale price tends to increase as well. However, there appears to be a lot of variability in the sale price as the area increases. This suggests that other factors may be influencing the sale price of homes, in addition to the size of the first floor area.

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a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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The critical point of f(x, y)=xy+2x−lnx2y in the open first quadrant (x>0, y>0) where fx is positive and fy is negative at the critical point, and f(xy) is nonzero, we can conclude that ff takes on a minimum at this point.

To find the critical points, we need to find where the partial derivatives of the function are equal to zero.

The function is :

fx = y + 2 - 2/x = 0

fy = x - ln(x^2) = 0

From the second equation, we have: x = ln(x^2)

Solving for x, we get: x = e^(-1/2)

Substituting this value of x into the first equation, we get: y + 2 - 2/e^(1/2) = 0

Solving for y, we get: y = 2/e^(1/2) - 2

Therefore, the critical point is (e^(-1/2), 2/e^(1/2) - 2).

To show that takes on a minimum at this point, we need to calculate the second partial derivatives:

fx = 2/x^3 > 0

fy = -2/x^2 < 0

f(xy) = 1

Since fx is positive and fy is negative at the critical point, and f(xy) is nonzero, we can conclude that ff takes on a minimum at this point.

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Answer:

Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53

Answer:

44

Step-by-step explanation:

So,Your Perimeter is the total of three sides

And You Know the Length of the two sides

You do=26+18=44

7.86 liters  of purple paint in each container.

volume of red paint is 8.54 liters.

volume of blue paint is 8.31 liters.

Number of container taken is 2 container.

Paint left after equally poured in 2 container.

and we have to find how many liters of paint are in each container.

Volume of RED Paint + Volume of BLUE Paint =  Volume of PURPLE Paint

8.54 liters + 8.31 liters = 16.85 liters.

(16.85/2) - (1.13/2) = 15.72/2

                            =7.86 liters

7.86 liters of purple paint in each container.

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Answer:

m =6/2, n = π/2

m = 6/5, n =√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pi (π) is an irrational number that represents the ratio of the circumference of a circle to its diameter. Pi cannot be expressed as a simple fraction, so it's an irrational number. Pi is approximately equal to 3.14159...

The square root of 2 is another example of an irrational number. This number cannot be expressed as a simple fraction either, so it's also irrational. The square root of 2 is approximately equal to 1.41.

The number e is greater than 5 and is also an irrational number. e represents the base of the natural logarithm and is approximately equal to 2.71828...  

Answer:

63 mph

Step-by-step explanation:

Given:

To find:

Solution:

Step-by-step explanation:

Total time taken by car to travel :12hrs

1st half:7hrs (which is to go)

Avg speed by car in 1st half :45mph

To find the avg speed at return time is

12-7 =5hrs (we did this to find time taken to return from or (-) total time of journey )

Total dist traveled to go will be

7x45=315mph therefore 315 m was covered to go.

Distance on return triip would be same as 315 because he is returning back along the same path

So formula for speed is s=d/t

On substitute

S=315/5. = 63mph

There fore the avg speed on return trip will be 63mph.

To verify,

We know total dist traveled (315) m

So 63x 5=315 therefore prooved 63 mph was the avg speed

Note*: in above context m means miles and not meters

Please mark it as brainliest!

Thanks.

Answer: 5/2

Step-by-step explanation:

Using slope formula m = rise/run

Answer:

€24

Step-by-step explanation:

We can use ratios to solve this.

3:4 = 18:x

Cross multiply: 3x = 18*4

Divide: x = 18*4/3

Simplify: x = 6*4 = 24

Answer:

15 (C)

//msg added cus it was short//

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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If matrix A is diagonalizable, then any matrix B that is similar to A is also diagonalizable. Additionally, A and its transpose A^T have the same characteristic polynomials. For a matrix A with A^n = 0, where n is a positive integer, the only eigenvalue of A is λ = 0.

Q5: If A is diagonalizable, it means that there exists an invertible matrix P such that A = PDP^(-1), where D is a diagonal matrix. Now, suppose B is similar to A, meaning there exists an invertible matrix Q such that B = QAQ^(-1). We can express B in terms of A as B = Q(PDP^(-1))Q^(-1), which simplifies to B = (QP)D(QP)^(-1). Since both Q and P are invertible matrices, their product QP is also invertible. Therefore, B can be expressed as B = RD^(-1)R^(-1), where R = QP is an invertible matrix. This implies that B is diagonalizable.

Q6: The characteristic polynomial of a matrix A is defined as det(A - λI), where det represents the determinant and I is the identity matrix. Now, let's consider the characteristic polynomial of A^T. We have det(A^T - λI), which is equivalent to det((A - λI)^T) due to the properties of transpose. Since the determinant of a matrix is invariant under transposition, we can rewrite the expression as det(A - λI), which is the characteristic polynomial of A. Therefore, A and its transpose A^T have the same characteristic polynomials.

Q7: Suppose A is an n x n matrix such that A^n = 0 for some positive integer n. Let's assume, by contradiction, that there exists an eigenvalue λ ≠ 0 of A. Then, there must exist a nonzero eigenvector x corresponding to λ, such that Ax = λx. Applying A^n = 0 repeatedly, we have A^n(x) = λ^n(x) = 0. Since λ ≠ 0, we have a contradiction since λ^n(x) cannot be zero if x is nonzero. Therefore, our assumption of λ ≠ 0 is false, and the only eigenvalue of A is λ = 0.

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The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000 , this can be calculated by using permutation and combination.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Main Body:

In a certain country, the car license plate is formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet.

There are 10 numbers.

And there is 26 alphabet.

The license plates can be formed if neither the digits nor the letters are repeated will be

⇒(numbers) (alphabet)

⇒ (9*8*7*6)(26*25*24)

⇒ 78,624,000

Hence, The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.

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Answer:

fx/gx=10

Step-by-step explanation:

fx= (36x5)-(44x4)-(28x3)

fx=80

gx= 4x2

gx=8

To work out fx/gx:

fx/gx=80/8

fx/gx=10

The correct answer is c.

A 95% confidence interval for μ will exclude the value 1.

When the p-value is 0.07, it means there is a 7% chance of observing a sample mean as extreme as the one obtained if the null hypothesis (μ = 1) is true. This is not considered strong enough evidence to reject the null hypothesis at the usual significance level of 0.05.

However, a confidence interval can provide a range of plausible values for the population mean μ. A 95% confidence interval means that if we were to repeat the experiment many times, 95% of the intervals constructed would contain the true population mean.

Using a standard normal distribution table or calculator, we can find that the critical values for a 95% confidence level are ±1.96. We can then use the formula for a confidence interval:

sample mean ± (critical value) x (standard error)

The standard error, in this case,

is σ/√n, where n is the sample size. Since the sample size is not given in the question, we cannot calculate the exact confidence interval. However, we can say that a 95% confidence interval will have a wider margin of error than a 90% or 92% confidence interval, and a narrower margin of error than a 99% confidence interval.

Therefore, we can conclude that a 95% confidence interval for μ will exclude the value 1.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

9514 1404 393

Answer:

  18

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  3(4 +2) = 3(6) = 18

The value of the expression is 18.

Answer:

18

Step-by-step explanation:

x = 2

┈

3(4 + x)

= 3(4 + 2)

= 3(6)

= 18

Hey there! :)

Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16