what is 5 1/2 diided by 1/10

Answer:

y = \(\frac{1}{3}\) x + 8

Step-by-step explanation:

        y-intersept (b): 10 = \(\frac{1}{3}\) (6) + b

Use the slope and y-itersept to creat the equation : y = \(\frac{1}{3}\) x + 8

Answer:

-1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

-4x + 7 = 11

       -7

-4x = 4

divide by -4

x = -1

The required angles of ABC, listed from least to greatest, are, 40.8°,  55.3°, and 85.9°.

Perimeter is the measure of the figure on its circumference, in other words, the perimeter of any figure is its measure of length over the borders.

Here,

We know that the perimeter of ABC is the sum of the lengths of its sides:

AB + BC + AC = 150

(7x-35) + (6x-11) + (x+28) = 150

14x - 18 = 150

14x = 168

x = 12

Now we can substitute this value of x into the expressions for the side lengths to find their actual lengths,

AB = 7x-35 = 7(12)-35 = 49 = a

BC = 6x-11 = 6(12)-11 = 61  = b

AC = x+28 = 12+28 = 40  = c

To find the angles of ABC, we can use the law of cosines:

cos(A) = (b² + c² - a²) / (2bc)

cos(A) = (61² + 40² - 49²) / (2×61×40) = 0.598

Similarly,

cos(B) = (49² + 40² - 61²) / (2×49×40) = 0.071

cos(C) = (49²+ 61² - 40²) / (2×49×61) = 0.756

Taking the inverse cosine (cos⁻¹) of each value gives us the angle measure in degrees:

A = 55.3°

B = 85.9°

C = 40.8°

So the angles of ABC, listed from least to greatest, are, 40.8°,  55.3°, 85.9°.

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Answer:

x=0

Step-by-step explanation:

You can substitute 2-6y in for x to create

9y +2(2-6y) = 3

9y + 4 -12y = 3

-3y = -1

y=1/3

Then plug in y for x=2 -6y

x= 2-6(1/3)

2-2=x

x=0

Answer:

The equation of the quadratic graph is y =  \(-\frac{1}{4}\) (x - 3)²

Step-by-step explanation:

The standard form of the equation of the quadratic graph is

(x - h)² = 4p(y - k), where

∵ The focus is (3, -1)

∵ The focus is (h, k + p)

→ Compare them

∴ h = 3

∴ k + p = -1 ⇒ (1)

∵ The directrix is at y = 1

∵ The directrix is at y = k - p

→ Compare them

∴ k - p = 1 ⇒ (2)

→ Add equations (1) and (2) to eliminate p

∵ (k + k) + (p - p) = (-1 + 1)

∴ 2k + 0 = 0

∴ 2k = 0

→ Divide both sides by 2

∴ K = 0

→ Substitute the value of k in equation (1) to find p

∵ 0 + p = -1

∴ p = -1

→ Substitute the values of h, k, and p in the form of the equation above

∵ (x - 3)² = 4(-1)(y - 0)

∴ (x - 3)² = -4(y)

∴ (x - 3)² = -4y

→ Divide both sides by -4

∴ \(-\frac{1}{4}\) (x - 3)² = y

→ Switch the two sides

∴ y =  \(-\frac{1}{4}\) (x - 3)²

∴ The equation of the quadratic graph is y =  \(-\frac{1}{4}\) (x - 3)²

Answer: f(x) =   (x - 3)²

Step-by-step explanation:

The projected growth rate (k) is equal to -1.632%.

In Mathematics, a population that increases at a specific period of time represent an exponential growth rate. This ultimately implies that, a mathematical model for any population that decreases by r percent per unit of time is an exponential equation of this form:

\(P(t) = I(1 + r)^t\)

Where:

Note: x = number of years = 2017 - 2003 = 14 years.

By substituting given parameters, we have the following:

\(46.7 = 58.8(1 +r)^{14}\\\\\frac{46.7}{58.8} = (1 + r)^{14}\\\\r=\frac{46.7}{58.8}^{\frac{1}{14}} -1\)

Growth Rate, r = -0.01632 = -1.632%

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Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

please put a branilist answer

The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0

Given: Smoothing constant α = 0.45, Forecast for period 10 = 297

We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.

The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)

Ft

Where,

At is the actual value for period t, and Ft is the forecasted value for period t.

We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10

F11 = 162.35 + 0.45(297) = 297.4

For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7

For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1

For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9

For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0

Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)

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The points (x, y, z), (1, 1, 0), and (1, 2, 1) lie on a plane through the origin, then the determinant is zero

Since the plane passes through the root, any two vectors on the plane must be directly autonomous. In this manner, we will utilize the vectors (1, 1, 0) and (1, 2, 1) to discover the condition of the plane.

A vector opposite to the plane can be found by taking the cross item of the two vectors:

(1, 1, 0) × (1, 2, 1) = (-1, 1, 1)

The condition of the plane can be composed as:

x + y + z = d

where d may be steady to be decided. We are able to utilize one of the focuses on the plane, such as (1, 1, 0), to discover d:

1 + 1 + = d

d = 0

In this manner, the condition of the plane is:

x + y + z = 0

 To check that the point (x, y, z) = (1, 2, 1) lies on this plane, we will substitute these values into the condition over   

  1 + 2 + 1 = 0

 which is genuine, so the point lies on the plane.

To discover the determinant that is zero, we will utilize the three focuses (x, y, z), (1, 1, 0), and (1, 2, 1) to make a 3x3 lattice:

| x y z |

| 1 1 0 |

| 1 2 1 |

Growing the determinant along the primary push, we get:

x | 1  0 |

| 2 1 | = x(1 - 0) - y(1 - 0) + z(2 - 1) = x - y + z

Subsequently, the determinant is:

x - y + z

Since these three focuses lie on a plane through the root, they fulfill the condition:

x + y + z = 0

 Substituting z = -x + y into the expression for the determinant over, we get:

x - y + (-x + y) = 0

 Streamlining, we get:  

 0=0  

 Subsequently, the determinant is zero, as anticipated. 

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If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. If the eigenvector matrix p is triangular, then a is a triangular matrix.

If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. This is because the eigenvectors of a diagonal matrix are simply the columns of the identity matrix, and the eigenvectors of a matrix do not change under similarity transformations.

If the eigenvector matrix p is triangular, then a is a triangular matrix. This is because the eigenvector matrix p is related to the matrix a through the equation:

A = PDP⁻¹

where D is a diagonal matrix whose diagonal entries are the eigenvalues of a, and P is the matrix whose columns are the eigenvectors of a. If the matrix P is triangular, then the matrix A is also triangular. This can be seen by noting that the inverse of a triangular matrix is also triangular, and the product of two triangular matrices is also triangular.

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-- The given question is incomplete, the complete question is

"If the eigenvectors of A are the columns of I, then A is what sort of matrix? If the eigenvector matrix P is triangular, what sort of matrix is A?"

Answer: $9.80

Step-by-step explanation:22.05/9=2.45x4= 9.80

Answer:

$4.30

Step-by-step explanation:

Two panes of glass cost $4.30.

Explanation

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost

$

15.05

, so one pane of glass costs

15.05

÷7∩

$2.15 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass

Answer:

Two panes of glass cost $4.30.

Answer:

a < -3

Step-by-step explanation:

10a + 8 < 9a + 5

Subtract 9a from both sides.

a + 8 < 5

Subtract 8 from both sides.

a < -3

Answer:

a < -3

Step-by-step explanation:

Given the inequality:

\(\displaystyle{10a+8 < 9a+5}\)

Solving a linear inequality is like solving a linear equation, you isolate a-term. Thus, subtract both sides by 9a:

\(\displaystyle{10a+8-9a < 9a+5-9a}\\\\\displaystyle{a+8 < 5}\)

Subtract both sides by 8:

\(\displaystyle{a+8-8 < 5-8}\\\\\displaystyle{a < -3}\)

Therefore, the solution is a < -3

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Football scores of Ali and Mohammad are 213 and 207 respectively.

Given,

Sum of Ali and Mohammad's football score is 420.

Difference between Ali's football score and Mohammad's football score is 6.

Then,

A - B = 6  ⇒Equation1

Where A = Ali's football score, and B= Mohammad's football score

Let's assume,

Ali's football score =

Mohammad's football score =

Sum of Ali's football score and Mohammad's football score:

A + B = 420 ⇒Equation2

After subtracting Equation2 from Equation 1

(A+B) - (A-B) = 420 - 6

A + B - A + B = 414

Since first A is positive and second A is negative, they will cancel out each other.

2B = 414

B = 207

After putting value of B in Equation2,

A + 207 = 420

A = 420- 207

A = 213

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Answer:

7.68

Step-by-step explanation:

Answer:

6 Toppings

Step-by-step explanation:

First you want to do $20.25-$9.75=x

Your x will equal $10.50!

Than you want to divide that by $1.75 and you get the answer of 6.

Answer:

it is the $14 pack

Step-by-step explanation:

the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.

Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.

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Answer:

(6,8)

Step-by-step explanation:

midpoint=(x1+x2)÷2,(y1+y2)÷2

a(4,15) b(8,1)

x=4+8=12÷2=6

y=15+1=16÷2=8

Answer=(6,8)

Answer:

4

Step-by-step explanation:

Answer:

I believe this might be the answer 52 − 1 + 5/1= 56

Answer:

56

Step-by-step explanation:

hope it helps ^^.

The domain of the function is  (-3, ∞) and the range of the function includes all real numbers.

The function is defined for x values greater than -3 since x + 3 appears inside the logarithm. So, the domain is (-3, ∞).

The range of the function includes all real numbers, which means the function can take any y value.

The graph of the function has a vertical asymptote at x = -3, where the denominator of the logarithmic expression becomes zero.

The function does not have a horizontal asymptote since the logarithmic function does not approach a specific value as x approaches positive or negative infinity.

To find the x-intercept, we set f(x) = 0 and solve for x:

log3(x + 3) = 0

x + 3 = 1

x = -2

So, the x-intercept is -2.

However, since the function is not defined for x = -3, the graph does not pass through (-2, 0).

The function does not have a y-intercept.

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Answer:

19;30

Step-by-step explanation:

Adding them together is the total

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

1/9

Step-by-step explanation:

So, we are given the following data or parameters or infomation in the question above;

=>" A container has 14 yellow chips, 10 blue chips, and 12 red chips in it. "

=> "One chip is randomly chosen from the container, then a second chip is randomly chosen after replacing the first chip."

Therefore, the total number of chips in the container = 14 + 10 + 12 = 36 chips.

The probability of drawing a red chip in the first draw = 12/36 = 1/3.

The probability of drawing a red chip in the second draw = 1/3 also.

Thus, the probability that both chips are red => 1/3 × 1/3 = 1/9.

The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.

Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.

Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression

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The value of angle <4 is 63 degrees

In a triangle, an exterior angle equals the sum of the opposite interior angles.

This means that:

<4 = 31 + 32

Evaluate the sum

<4 = 63

Hence, the value of <4 is 63 degrees

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