7(r − 1) = 6(r + 1) please show work

The given historical date have time difference. So the Historical Dates From 800 BC to 1800 AD is a interval data. So the option a is correct.

In the given question we have to classify the historical dates from 800 BC to 1800 AD.

All real numbers that fall inside any two of the set's numbers are known as members of an interval, which is a set of real numbers.

Data that may be labelled or categorized into groups that are mutually exclusive within a variable is known as nominal data. There is no logical order in which to place these categories.

Ordinal data is a categorical statistical data type when the distances between the categories are unknown and the variables have naturally occurring, ordered categories.

A type of numerical data is ratio data. It evaluates variables on a continuous scale, with equal distance between neighbouring values.

As we can see that the given historical date have time difference. So the Historical Dates From 800 BC to 1800 AD is a interval data. So the option a is correct.

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The critical points are (0, 0) and (1/2, 1/8).

To find the critical points of the function f(x, y) = 8x^3 + y^3 - 6xy + 2, we need to find the points where the partial derivatives of f with respect to x and y are equal to zero.

a.) Finding the critical points:

∂f/∂x = 24x^2 - 6y = 0

∂f/∂y = 3y^2 - 6x = 0

From the first equation, we have:

24x^2 - 6y = 0

4x^2 - y = 0

y = 4x^2

Substituting y = 4x^2 into the second equation:

3(4x^2)^2 - 6x = 0

48x^4 - 6x = 0

6x(8x^3 - 1) = 0

This gives two possible cases:

6x = 0, which implies x = 0.

8x^3 - 1 = 0, which implies 8x^3 = 1 and x^3 = 1/8. Solving this equation, we find x = 1/2.

For x = 0, we can substitute it back into y = 4x^2 to find y = 0.

So, the critical points are (0, 0) and (1/2, 1/8).

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Answer:

m = 8

Step-by-step explanation:

I looked at the line 8 and looked at m and noticed they're literally the same length. so m = 8.

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

The first plant produces 5x+22 more items daily than the second plant.

Step-by-step explanation:

Given that:

Production level of first plant = 8x+15

Production level of second plant = 3x - 7

We will find the difference of both plants manufacture levels.

Difference = First plant - Second Plant

Difference = (8x+15)-(3x-7)

Difference = 8x+15-3x+7

Difference = 5x+22

Hence,

The first plant produces 5x+22 more items daily than the second plant.

Answer:

Let's call the daily production level of the first plant "A" and the daily production level of the second plant "B". Then we can write:

A = 8x + 15

B = 3x - 7

To find out how many more items the first plant produces than the second plant, we need to subtract B from A:

A - B = (8x + 15) - (3x - 7)

= 8x + 15 - 3x + 7 (remember to distribute the negative sign to -7)

= 5x + 22

Therefore, the first plant produces 5x + 22 more items daily than the second plant.

The option is B. Emerson is painting the outside of a cube for a math project. he knows the area of each face is 145 square inches.

the place is the quantity that expresses the quantity of vicinity on the plane or on a curved floor. The area of a plane vicinity or aircraft location refers to the area of a shape or planar lamina, while surface location refers to the region of an open floor or the boundary of a three-dimensional object. the place can be understood as the quantity of material with a given thickness that might be necessary to fashion a model of the shape, or the amount of paint essential to cowl the surface with a single coat. it's by far the 2-dimensional analog of the period of a curve (a one-dimensional concept) or the volume of a stable (a three-dimensional idea).

The region of a form can be measured by using comparing the form to squares of a set size. within the global system of devices (SI), the standard unit of the region is the rectangular meter (written as m²), which is the place of a rectangular whose aspects are one meter long. A shape with an area of 3 square meters might have an equal area to 3 such squares. In mathematics, the unit square is defined to have area one, and the place of some other form or floor is a dimensionless real number.

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The solution after multiplying is 238 \(y^2\)

We are given two terms which are polynomials. We need to multiply these two polynomials. The polynomials are 14 y and 17y. The result of adding, subtracting, multiplying, and dividing two polynomials is a polynomial only. Therefore, when we multiply 14 y and 17 y we will get a polynomial as a result.

Multiplying the given two terms;

14 y × 17 y

We will multiply the constants and variables separately and then combine the answer.

(14 * 17) ( y * y)

(238) (\(y^2\))

= 238 \(y^2\)

Therefore, when we multiply 14 y and 17 y, we get the polynomial answer as 238 \(y^2\).

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Answer:3

Step-by-step explanation:

The HCF of 3 and 9 is 3. To calculate the HCF (Highest Common Factor) of 3 and 9, we need to factor each number (factors of 3 = 1, 3; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 3 and 9 . i.e 3.

The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.

The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".

Here,

Curved surface area of cone=πrl

=140π

l=5 cm

140π=πr*5

r=140/5

r=28 cm

The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.

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Answer:

$48

Explanation:

24 Divided by 5 = 4.8 times 10 =48

Answer:

$56

Step-by-step explanation:

$10 divided 5＝$2

one bag $2

28bags＝$2 multiply 28＝$56

The flow rate of water in each steel pipe at 25°C is as follows:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.

Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.

Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.

Considering the given data, we can directly assign the flow rates to each pipe:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.

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Answer:

x = 3

Work below

Step-by-step explanation:

5x + 12 = 27

-12. -12

5x = 15

/5 /5

x = 3

Hope this helps!!

Answer:

3

Step-by-step explanation:

5x+12=27

subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3

Answer:

It is three.................

30 ÷ 3 = 3

Hope this helps :)

It is most likely that John and Dawn live in a "married couple with children" household. They have been married for over 20 years and have three children residing with them in their home in Northville, MI.

John and Dawn have been married for over 20 years and have lived in their home in Northville, MI with their three children for most of those years. To determine the type of household they live in, we can consider the various household classifications provided by the Census Bureau.

Married couple with children: This classification applies to households where a married couple resides with one or more children who are under the age of 18. Since John and Dawn have three children, it is possible that they fall under this category.

Married couple without children: This classification includes households where a married couple resides without any children under the age of 18. However, since John and Dawn have three children, this classification is not applicable to their situation.

Single-parent household: This classification applies when a single parent resides with one or more children under the age of 18. Since John and Dawn are married, this classification is not relevant in their case.

Other household types: There are several other household types defined by the Census Bureau, such as multi-generational households, unmarried partner households, and non-family households. However, based on the given information, none of these classifications seem to apply to John and Dawn's situation.

Considering the information provided, it is most likely that John and Dawn live in a "married couple with children" household. They have been married for over 20 years and have three children residing with them in their home in Northville, MI.

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Answer:

24

Step-by-step explanation:

=> 5x+2+2x+10 = 180 (Angles on a straight line add up to 180)

=> 7x+12 = 180

=> 7x = 180-12

=> 7x = 168

Dividing both sides by 7

=> x = 24

Answer:

x= 24

Step-by-step explanation:

(5x +2)° +(2x +10)°= 180° (adj. ∠s on a str. line)

5x+2 +2x +10= 180

7x +12= 180 (simplify)

7x= 180 -12 (-12 on both sides)

7x= 168

x= 168 ÷7

x= 24

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

Solution:-

now , put the given values in question:

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

The rules of the calculation are:

The complete question is added as an attachment

The equation is given as:

0.738 × 0.28 = 0.20664

When approximated, we have:

0.738 × 0.28 ≈ 0.21

The above approximation can mean any of the following:

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Answer:

10 and 3

Ten and three have a difference of three, and their sum is thirteen, with that being said, this should be correct.

Answer:

the answer is c

a) The parameter of interest is the percentage of mail items received at the dorm that are considered packages. This can be denoted as p, where p is the proportion of packages out of all mail items received at the dorm. A confidence interval would be most appropriate for this inference procedure.

b) The parameter of interest is the difference in the average number of packages sent from online retailers to a neighborhood in Champaign and the average number of packages sent from online retailers to a neighborhood in Urbana. This can be denoted as μ1 - μ2, where μ1 is the average number of packages sent to Champaign and μ2 is the average number of packages sent to Urbana. A hypothesis test would be most appropriate for this inference procedure.

c) The parameter of interest is the difference in store pick-up rates between all cookies and all cakes sold by the bakery. This can be denoted as p1 - p2, where p1 is the proportion of cookies that are picked up in store and p2 is the proportion of cakes that are picked up in store. A confidence interval would be most appropriate for this inference procedure.

d) The parameter of interest is the association between the weight of the package and the delivery time. This can be denoted as ρ, where ρ is the correlation coefficient between the weight of the package and the delivery time. A hypothesis test would be most appropriate for this inference procedure.

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Answer: Dime

Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.

50 + 25 = 75 cents.

75 + 10 = 85 cents.

A half-dollar + a quarter + a dime = 85 cents.

I hope this helps!

Correct answer is option A. The equation that can be used to find B, the area of the shaded base of the box in square centimeters is: B = (45.5)(25)

From the given figure, we can see that the shaded part represents one base of the container, which is in rectangle prism shape. The length and width of this rectangle can be determined from the dimensions given in the figure.

Length = 45.5 cm

Width = 25 cm

The area of the rectangle (the base of the container) can be calculated using the formula:

Area = Length x Width

Substituting the values we get:

Area = 45.5 x 25

Therefore, the equation that can be used to find B, the area of the shaded base of the box in square centimeters is:

B = (45.5)(25)

Hence, the answer is option A.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

\(\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}\)

By substituting the measures of the given sides,

\(\frac{4}{2}=\frac{6}{3}=\frac{2}{1}\)

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

Given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Recall:

Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):

Slope (m) = (4 - 3)/(0 - (-4)) = 1/4

y-intercept (b) = 4 (from the table, when x = 0, y = 4).

Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:

y = 1/4x + 4

Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:

y = 1/4(4) + 4

y = 1 + 4

y = 5.

Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.

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Answer:

Step-by-step explanation:

hello,

how many students ? 14 + 2 + 5 +3 = 24

how many students who had C and S ? 14 + 2 + 5 = 21

so P(C∪S)=21/24=(7*3)/(8*3)=7/8

hope this helps

Answer:

9.42 cm

Step-by-step explanation:

3.14*3=9.42

9.42*2=18.42

18.42/2=9.42