write an equation in slope intercept form for a line that has given slope and passes through the given point: slope = -1/2, (6,-5)

Answer:

the answer to this question is 2.25

Con la balanza de 2 platillos y las 3 pesas de 1 Kg, 3 Kg y 9 Kg se pueden pesar 7 objetos de diferente peso.

Esto se puede calcular usando la fórmula de combinaciones: nCr, donde n es el número total de elementos y r es el número de elementos a seleccionar. En este caso, n es igual a 5 (2 platillos y 3 pesas) y r es igual a 2 (porque se están seleccionando 2 elementos). Por lo tanto, la fórmula se convierte en 5C2, lo que equivale a 10. Sin embargo, se descartan 3 combinaciones en las que se utilizan dos pesas iguales, lo que reduce el resultado a 7. Por lo tanto, con la balanza de dos platillos y las 3 pesas de 1 Kg, 3 Kg y 9 Kg se pueden pesar 7 objetos de diferente peso.

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Based on the addition property of equality, from the equation x=12, we can generate the following equations and solutions:

The addition property of equality states that you can add the same value to both sides of an equation and still maintain an equivalent equation.

It states that if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

If x = 12, using the addition property of equality, the following equations can be generated.

x+3 = 15 (12+3)

x+7 = 19 (12+7)

x+3 = 32 (12+20)

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Answer:

A) 15:30

B) 8 km

Step-by-step explanation:

a) At 15:30, Bethan's journey line intersects the y-axis, indicating her arrival at home from school.

b) Siobhan's journey line starts and ends at 2 km on the x-axis, which represents the distance from her home. Therefore, Siobhan travels a total of 4 km to school and 4 km back, so she travels a total distance of 8 km each day.

The average value of a function over the interval to be -π/4 + C/3π.

In this case, we need to calculate the average value of y=xsin(x) over the interval [0,3π/2]. To calculate this, we must first calculate the integral of the function over the interval. This is done by finding the antiderivative of the function and then evaluating the antiderivative at the upper and lower limits of the interval. The antiderivative of the function is -cos(x) + sin(x)x + C. Evaluating this at the lower and upper limits of the interval, we get 0-0 + 0 + C = C. To calculate the average value of the function, we divide the integral by the length of the interval. The length of the interval is 3π/2, so the average value of the function over the interval is the integral divided by 3π/2. Evaluating the integral, we get -cos(3π/2) + sin(3π/2)(3π/2) + C. Substituting in the values, we get -(-1) + 1(3π/2) + C = -π/2 + C. Finally, dividing this by 3π/2, we get the average value of the function over the interval to be -π/4 + C/3π.

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The true statement about the solution to the system is (e) none of the above

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

Solving a linear system

You get a final statement of 5 = 0

This equation is false

This is so because 0 and 5 do not have the same value

This statement creates a contradiction, which means that there is no solution to the linear system.

This means that the sytsem of equation has no solution and the solution to the system does not exist

Hence, the system has no solution

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Answer:

554433221100

is in form

and have to divide by 11

554433221100/11

50403020100 is the answer.

Answer: 9 numbers

Step-by-step explanation:

Answer:



Step-by-step explanation:

The length of PR from triangle PQR is 3.6

Since we know that ST is parallel to PQ, we can conclude that the triangle RST is somehow similar to triangle PQR. We can try to find each side pairs that share equals angles. Those side pairs are:

ST and PQ

RS and RP

TR and QR

From the question, we know that:

SR =2.4

PQ = 1.8

RQ = 3

ST = 1.2

We can find the lenght of PR by finding the ratio between the two triangles:

PQ =  PR

ST      SR

1.8 = PR

1.2      2.4

6   = PR

 4       2.4

PR = 3.6

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The explicit formula for the sequence generated by a₁ = 4, an an-1+5 where n = 2, 3, 4, .... is an = 5n + 4, where n = 1, 2, 3, ....

Explicit formula is a mathematical expression that explicitly states the rule used to calculate the value of a function. It is a formula that provides a direct and unambiguous representation of a given calculation, without relying on any additional information.

The explicit formula for the sequence generated by a₁ = 4, an an-1+5 where n = 2, 3, 4, .... is an = 5n + 4, where n = 1, 2, 3, .... This can be derived by substituting n = 1 into the given recursive formula and solving for a₁. The result is that a₁ = 4, which can be written in the explicit form as a₁ = 5(1) + 4. This can be generalized to an = 5n + 4, where n = 1, 2, 3, ....

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Number C₃ = 5 is written in the center.

Matrices are the arrangement of numbers, variables, symbols, or expressions in the rectangular format, in the form of rows and columns.

Square matrix is a matrix with the same number of rows and columns.

Given,

Sum of neighbors of 6 and 8  is 10.

By the figure,

If C₁ = 6

then, 1 + C₃ + 2 = 10 ⇒ C₃ = 7

But if C₃ = 7, then sum for neighbors of any unknown column cannot be 10.

Now, C₂ = 5

then, 1 + C₃ + 4 = 10 ⇒ C₃ = 5

Considering

C₃ + 2 + 3 = 10 that are neighbors to C₄

5 + 2 + 3 = 10

Thus, C₄ = 8

Hence, C₃ = 5 is the number written in center.

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Histograms are a waste of time and provide no meaningful information about process variation are true statement

A machine should be calibrated closer to the lower spec limit than the upper spec limit if the cost of fixing output that is too high is greater than the cost of fixing output that is too low.

If the cost of fixing output that is too high is greater than the cost of fixing output that is too low then it make sense to calibrate the machine closer to the lower spec limit.

This way if the machine produces less output than is required, it can be fixed at a lower cost than if the machine had been set to the upper spec and produces output that is too high.

Histograms are a waste of time and provide no meaningful information about process variation

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When taking a measurement using a device with an analog scale, we can determine the last digit in the number you report by Add one estimated value aside from the value given by the analog scale. The estimate will be your best guess on where it falls relative to the object measured.

Analog scales are a type of scale operated manually without using electricity to determine the weight of a weighted object. The definition of scales can be concluded as a tool that has the function of measuring or knowing the mass of an object/substance.

Analog scales existed before the use of electronic/electrical technology on analytical scales. The working principle of analog scales is based on the gravitational swing arm balance.

This is where it is important for you to know the meaning of balances / scales and how to use them.

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So far they have painted 20% of the fence which is 70 feet long.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, It took Amair 2 hours to paint the first 14 feet of a 70-foot-long fence.

Therefore, The percentage of fences they have painted so far is,

= (14/70)×100%.

= 0.2×100%.

= 20%.

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The 15th element of the geometric sequence generated by exponential function y = 200 · (- 1 / 2)ⁿ⁻¹ is 25 / 2048.

In this question we find the case of geometric sequence, that is, a set of values generated by a exponential function, whose definition is shown below:

y = a · rⁿ⁻¹, n ≥ 1

Where:

If we know that y₄ = - 25 and y₉ = 25 / 32, then the expression that generates the geometric sequence is:

- 25 = a · r³

25 / 32 = a · r⁸

- 1 / 32 = r⁵

r = - 1 / 2

a = - 25 / r³

a = - 25 / (- 1 / 2)³

a = - 25 / (- 1 / 8)

a = 200

y = 200 · (- 1 / 2)ⁿ⁻¹

And the 15-th term of the geometric series is:

y = 200 · (- 1 / 2)¹⁴

y = 25 / 2048

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The cost of eight ruler and three pens is le79.125.

Let's call the cost of a pen x and the cost of a ruler y. From the first statement, we can create the equation:

x + 3y = 29

And from the second statement:

6x + 2y = 48

That is dividing by 2, 3x + y = 24

Now we have two equations with two variables and can use substitution or elimination method to find the values of x and y.

Let's use substitution:

x = 29 - 3y

Substituting this into the second equation:

3(29 - 3y) + y = 24

87 - 9y + y = 24

8y = 63

y = 63/ 8

y = 7.875

Now that we have the value of y, we can use the first equation to find the value of x:

x = 29 - 3y = 29 - 3 * 63/8

= 5.375

So, a pen costs le5.375 and a ruler costs le7.875. To find the cost of 8 rulers and 3 pens, we multiply:

8 * 7.875 + 3 * 5.375 = le79.125

The cost of 8 rulers and 3 pens is le79.125.

--The question is incomplete, the complete question is as follows--

"The cost of a pen and three ruler is le29 while two ruler and six pen cost le48. Find the cost of eight ruler and three pen."

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The value of the consecutive interior angles formed by the parallel lines is : ∠CGF = 61°

For the stated question:

∠HGD = ∠CGF = 119° (vertically opposite angles)

And,

∠AFG + ∠CGF = 180° (consecutive interior angles)

∠CGF = 180° - 119°

∠CGF = 61°

Thus, the value of the consecutive interior angles formed by the parallel lines is : ∠CGF = 61°

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Answer:

150.72

Step-by-step explanation:

area of a cylinder = top circle + bottom circle + lateral

lateral = perimeter of the circle * height = 2π*2 * 10 =40π

area of a circle = πr² = 4π

top & bottom =8π

total = 40π+8π =48π = 150.72

The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is [tex]$$150.8 \mathrm{~cm}^2$$[/tex].

The sum of the areas of all the faces or surfaces that surround a solid results in its total surface area. The tops and bottoms (bases) as well as the remaining surfaces make up the faces. The surface area of a solid without its bases is known as its lateral surface area.

The area of the cylinder is determined by adding the areas of the curving surface and its two circular bases.

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Total surface area [tex]$S=2 \pi r h+2 \pi r^2$[/tex]

Substitute the values in the above equation, we get

[tex]$$\Rightarrow \mathrm{S}=2 \pi \mathrm{r}(\mathrm{r}+\mathrm{h})=2 \times 3.1416 \times 2 \times 12$$[/tex]

simplifying the equation, we get

[tex]$$\Rightarrow \mathrm{S}=150.8 \mathrm{~cm}^2$$[/tex]

[tex]$\Rightarrow \mathrm{S} \approx 1.51 \times 10^4 \mathrm{~mm}^2$$[/tex]

Therefore, the surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is [tex]$$\mathrm{S}=150.8 \mathrm{~cm}^2$$[/tex].

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Answer:

Step-by-step explanation:

it will ride at 45 miles because if you know every 2 hours she rides 18 miles and your trying to see how many in 5 hours you just do 18 + 18 +9 because half of 18 is 9 and you get 45.

Your roommate shook 10 hands at the party you and your roommate hosted.

If each person at the party shakes hands with a different number of people, and each person did not shake hands with their own roommate, then the number of hands each person shakes will form a set of integers from 0 to 19, with no duplicates. Since there are 20 people at the party, the sum of the numbers from 0 to 19 is 20 * 19 / 2 = 190.

If we subtract the number of hands that each person shakes from this sum, we find that the number of hands that my roommate shook is equal to 190 - (0 + 1 + 2 + ... + 19) = 190 - (0 + 19) * 20 / 2 = 190 - 20 * (19 / 2) = 190 - 20 * 9.5 = 190 - 190 = 0. This is not possible, since each person must shake at least one hand. The only possible answer is 10, which satisfies the conditions.

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The Parallel , Meridian in the geographical coordinate system is defined below and zero Line is where prime meridian is at 0° longitude .

In a Geographic Coordinate system, a Meridian is a line of longitude that runs from the North Pole to the South Pole and is used to indicate the east-west position of a location on the Earth's surface.

A Parallel is a line of latitude that circles the Earth parallel to the equator and is used to indicate the north-south position of a location on the Earth's surface.

The Zero Line  is the line of longitude that is defined as 0° and runs from the North Pole to the South Pole, passing through Greenwich, England. The equator is the line of latitude that is defined as 0° and circles the Earth at an equal distance from the North and South Poles.

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2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

y = 0.08x - 2.50

Where x is the number of copies and y is the cost of printing x copies.

Now,

From the equation,

y = 0.08x - 2.50

2.50 is the coupon amount.

0.08 is the cost for one copy.

Thus,

2.50 is the coupon amount.

0.08 is the cost for one copy.

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Answer:

We can't solve this problem if there is no context given. Since nothing is mentioned, it is safe to assume that PR and QR are line segments. Based on the nomenclature, it may be a collinear system of 3 points: P, Q and R. The equation should be:

PR = PQ + QR

Assume x is referred to line PQ

(9x - 31) = x + 43

9x - x = 43 + 31 = 74

8x = 74

x = 9.25

The rationalization of the given surd gives the answer as √2/3

Rationalization is a process that finds application in elementary algebra, where it is used to eliminate the irrational number in the denominator.

Given here:  The surd 2/√18

Thus rationalizing we get as follows:

2/√18

=2×√18/√18×√18  ( multiplying both numerator and denominator by √18)

=2√18/√18² ( since 18²ˣ¹/₂=18)

=2√18/18

=2√3²×2 / 18  ( ∵ 18=3²×2)

=2×3×√2/18

=(6/18) × √2

=(1/3)×√2

=√2/3

Hence, The rationalization of the given surd gives the answer as √2/3

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all sets are equal because all the sets contains only three elements in it that elements are 6,7,8

What is a set?

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

a = {6, 7, 8}

b = {x is in r| 5 ≤ x < 9}

c = {x is in r| 5 < x < 9}

d = {x is in z| 5 < x < 9}

e = {x is in z | 5 < x < 9}

Hence all sets are equal because all the sets contains only three elements in it that elements are 6,7,8

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Assuming neither item has changed in price, the cost of a book is $13.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

Firstly, you should convert the text of the problem into equations, thus you can write:

11b+8m=207 (1)

16b+9m=280 (2)

where: b=book and m= movie

From the substitution method, you can solve this question following the steps below:

The equation 1, you can re-write as: b=(207-8m)/11. This relation, you can apply in equation2. See below.

16b+9m=280

[tex]{16*\frac{(207-8m)}{11} }+ 9m=280 \\ \\ \frac{3312-128m}{11} + \frac{99m}{11} =\frac{3080}{11} \\ \\ 3312-128m+99m=3080\\ \\ -29m= -232\\ \\ m=8[/tex]

If m=8, you can find the value of the cost of a book from the relation (207-8m)/11. Then,

[tex]b=\frac{(207-8m)}{11}=\frac{207-8*8}{11} =\frac{207-64}{11} \\ \\b=\frac{143}{11} =13[/tex]

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Answer:

t = 4 years

Step-by-step explanation:

Simple Interest = Prt where r = rate in decimal, t = time in years, P = principal

r = 5/100 = 0.05

Plugging in knowns
120 = 600 x 0.05 x t

120 = 30t

30t = 120

t = 120/30

t= 4 years

The simplified equation is y = 10,312.50 + 0.25x - 18,672.50

What is the linear equation?

Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.

(a) The $10,312.50 represents the fixed amount of income tax owed for the range of incomes between $74,900 and $151,200.

(b) The 0.25(x - 74,900) represents the additional amount of income tax owed based on a tax rate of 0.25 (25%) of the income above $74,900. The x-74,900 term represents the amount of income that is above $74,900, and multiplying by 0.25 calculates the additional tax owed for this portion of the income.

(c) To simplify the equation:

y = 10,312.50 + 0.25(x - 74,900)

y = 10,312.50 + 0.25x - 74,900 * 0.25

y = 10,312.50 + 0.25x - 18,672.50

Hence, the simplified equation is y = 10,312.50 + 0.25x - 18,672.50

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If marc r v = marc v u , the value of marc v u is given as 64°.

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

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