How many 1/2's are there in 6?

​

breadth or width = 5cm

hope it helps...!!!

Answer:

Step-by-step explanation:

Answer:

Use given values of h and j, and find the value of k:

The equation is now:

Find the value of g when h is 2 and j is 3:

Correct choice is D

Answer:

D. 144

Step-by-step explanation:

A mathematical description of hexagon is given above.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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The surface area of the hemisphere with radius r = 19 cm. is 3400.62 square centimeters

The radius is given as:

r = 19

The surface area of a hemisphere is:

Area = 3πr²

So, we have:

Area = 3 * 3.14 * 19²

Evaluate

Area = 3400.62

Hence, the surface area of the hemisphere is 3400.62 square centimeters

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The correct representation of 6/1 is in figure A.

Given:

The four figures with shaded regions and unshaded regions.

To find:

The figure with the correct representation of 6/1.

Solution:

In figure A

Fraction of one box =\(\frac{1}{1}\)

There are six individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{1}\)

In figure B

The number of shaded regions = 5

The total number of regions = 6

The representation will be :

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{5}{6}\)

In figure C

Fraction of one box =\(\frac{1}{1}\)

There are five individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{5}{1}\)

In figure D

The number of shaded regions = 1

The total number of regions = 1

The representation will be:

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{1}{6}\)

The correct representation of 6/1 is in figure A.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer:

156.

Step-by-step explanation:

That is 364 * 3/7

= 52 * 3

= 156.

Toby cycles 12 miles each day.

To find out how far Toby cycles each day, we need to add up the distance he covers during his morning and afternoon trips. Here are the steps we need to follow:

Step 1: Determine Toby's cycling distance from his house to his schoolDistance from Toby's house to his school = 4 miles west. Toby bicycles this distance every day. Therefore, his one-way cycling distance from home to school is 4 miles.

Step 2: Determine Toby's cycling distance from his school to Erica's house.Distance from Toby's school to Erica's house = 3 miles south. Toby cycles this distance every day after school. Therefore, his one-way cycling distance from school to Erica's house is 3 miles.

Step 3: Determine Toby's cycling distance from Erica's house to his house.Distance from Erica's house to Toby's house = we don't know. But we know that Toby takes a bike path that goes straight from Erica's house to his own house. Therefore, we can assume that the distance from Erica's house to Toby's house is the hypotenuse of a right-angled triangle with legs of 3 miles (south) and 4 miles (west).

We can use the Pythagorean Theorem to find the hypotenuse: c2 = a2 + b2c2 = 32 + 42c2 = 9 + 16c2 = 25c = √25c = 5 milesTherefore, Toby cycles 5 miles every day on his bike path from Erica's house to his own house.Step 4: Add up Toby's one-way cycling distances to find out how far he cycles each day.Toby's one-way cycling distance from home to school = 4 milesToby's one-way cycling distance from school to Erica's house = 3 milesToby's one-way cycling distance from Erica's house to his house = 5 milesTotal cycling distance = 4 + 3 + 5Total cycling distance = 12 miles.

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Answer:

need a pic

Step-by-step explanation:

sorry

Given the following values of a equals 17 and b equals 9, solve the equation 3a + 4b.

So, in order to solve the equation 3a + 4b, we have to plug in the values for the variables.

a = 17

b = 9

Plug it in.

3(17) + 4(9) = ?

51 + 36 = 87

Thus, the answer of the equation 3a + 4b is 87.

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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The solution of each expression is

(1) (-2×-5-3)+(2×-2)  = - 10

(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)

= -2x - 8 + 2x - 2

= -8 - 2

= - 10

(2) (3/4 x-1)-(1/3 x +4)

(-3/4) x- (1/3) x - 1 - 4

= -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2

= (-6.5+ 3.3) +11 -2

= - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6)

= (-3.6x-1.9x)+9.4 - 3.6

= -5.5 x + 5.8

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Answer:

The inverse of a 2x2 matrix [a b; c d] can be calculated using the formula: (1/(ad-bc)) * [d -b; -c a].

Let’s apply this formula to matrix C = [9 7; 8 6]. The determinant of C is (96) - (78) = -14. Since the determinant is not equal to zero, the inverse of C exists and can be calculated as:

(1/(-14)) * [6 -7; -8 9] = [-3/7 1/2; 4/7 -9/14]

So the correct answer is B) The inverse matrix of C is equal to a matrix with 2 rows and 2 columns. Row 1 is negative 3 comma 3.5, and row 2 is 4 comma negative 4.5.

The correct inverse of the given matrix C which has 2 rows and 2 columns with elements [9, 7; 8, 6] is [-1, 7/6; 4/3, -3/2].

The given matrix C is a square matrix with elements [9, 7; 8, 6]. To determine the inverse of this matrix, one must perform a few algebraic steps. Firstly, calculate the determinant of the matrix (ad - bc), which is (9*6 - 7*8) = -6. The inverse of a matrix is given as 1/determinant multiplied by the adjugate of the matrix where the elements of the adjugate are defined as [d, -b; -c, a]. Here a, b, c, and d are elements of the original matrix. Thus, the inverse matrix becomes 1/-6 * [6, -7; -8, 9], which simplifies to [-1, 7/6; 4/3, -3/2]. Therefore, none of the given answers A, B, C, or D are correct.

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Answer:

yes iam help to you. have a nice day

The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.

Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.

This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.

For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.

In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.

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the perimeter of triangle ABC is approximately 15.8 units.

why it is and what is a triangle?

To find the perimeter of triangle ABC, we need to find the length of each side and then add them up. We can use the distance formula to find the length of each side:

AB = √((x2 - x1)²2 + (y2 - y1)²2)

BC = √((x3 - x2)²2 + (y3 - y2)²2)

AC = √((x3 - x1)²2 + (y3 - y1)²2)

Plugging in the coordinates of A(5,-1), B(-1,1), and C(0,-3), we get:

AB = √((-1 - 5)²2 + (1 - (-1))²2) = √(36 + 4) = √(40) ≈ 6.3

BC = √((0 - (-1))²2 + (-3 - 1)²2) =√(1 + 16) =√(17) ≈ 4.1

AC = √((0 - 5)²2 + (-3 - (-1))²2) = √(25 + 4) = √(29) ≈ 5.4

Therefore, the perimeter of triangle ABC is:

Perimeter = AB + BC + AC ≈ 6.3 + 4.1 + 5.4 ≈ 15.8

Rounding to the nearest tenth, the perimeter of triangle ABC is approximately 15.8 units.

A triangle is a three-sided polygon. It is a simple closed figure consisting of three line segments that intersect pairwise at three non-collinear points, which are called vertices. The line segments that connect the vertices are called the sides of the triangle.

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Answer:

a. \(\frac{x+2}{x+6}\)

Step-by-step explanation:

\(\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}\)

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

The surface area of the rectangular prism is 462 square feet.

Length, L = 10 ft

Width, W = 6 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(10×7 + 10×6 + 6×7)

= 2(70+60+42)

= 2(172)

= 344 square feet

Surface area of the missing prism:

Length, L = 5 ft

Width, W = 2 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(5×2 + 5×7 + 2×7)

= 2(10 + 35 + 14)

= 2(59)

= 118 square feet

Therefore, the surface area of the figure

= 344 square feet + 118 square feet

= 462 square feet

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Answer:

A) (x + 4)(x + 8).

B) (x - 8)(x - 6)

C) (x - 2)(x - 1)

Step-by-step explanation:

Answer:

x + y = 4 ,  x − y = 2

x + 2 y = 4 ,  x − y = − 3

x 2 − y = 2 ,  2 x − y = − 1

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

x-8=2x-4

+8        +8

---------------

x=2x+4

-2   -2

-----------

-x=4

-1    -1

----------

x=-4

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

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Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

The table that represents the speed of the car that increases and decreases as time increases is Table B.

Option B is the correct answer.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values is given using this formula.

We have,

From the table,

We see that,

Time      5     6     7      8     9

Speed   45   47   49   48   47

This indicates that,

As time increases, the speed increased from 5 minutes to 7 minutes and decreases from 7 minutes to 9 minutes.

Thus,

The table that represents the speed of the car that increases and decreases as time increases are in Table B.

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The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.

Here, we have,

In real world scenario it means how many laps they can complete per minute.

Let us consider the coordinate on the y-axis and the x-axis be ,

( x₁ , y₁ ) = ( 0, 24 )

( x₂ , y₂ ) = ( 6, 0)

The slope of a line represents the rate of change between two variables.

Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

        = ( 0 - 24 ) / ( 6 - 0 )

        = -4

Since the slope of the line is -4, this means that for every one minute that passes.

The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.

So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.

And that they will finish the race after 6 minutes when they have completed all 24 laps.

Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.

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Answer:

The slope of the line is -1/2, which means that the swimmer completes a lap in 1/2 of a minute

Step-by-step explanation:

The number of steel beam the truck can carry  given the truck's  capacity is 182.37.

In order to determine the number of steel beam the truck can carry divide the capacity of the truck by the weight of each steel beam.

Division is the mathematical operation that is used to group a number into equal parts using another number. The sign used to denote division is ÷. Other operations used in mathematics are addition, subtraction and multiplication.

Number of steel beams the truck can carry = capacity of the truck / number of steel beams

6,000 / 32.9 = 182.37

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The derivate of a function f(x) is determinated as:

For the function

First we have to determine de f ( x + h ) as follow:

Then we calculate and simplify the coeficient in the first formula

------------------------------------------------------------------------------------The equation of the tangent:

First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function

And the equation to thist tangent in a specific point will be find using the next formula:

We have to calculate the slope in the point x =4 using the derivate:

In the point x=4

Calculate the value of f(x0) substituting in the function the given point x:

Knowing that we put the value of m and f(x0) in the equation of the tangent:

---------------------------------------------------------------------------

The normal line

The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:

So in this situation is:

The equation of the normal line is given by the next formula:

Replacing the data we obtain:

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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