what is the absolute value of -6 please help

In order to simplify 8x + 14 = 10x, combine similar terms and then add the similar terms together.

To simplify an equation means to write it using fewer numbers or variables. An equation is an expression that is used to express the equality of two quantities. An equation has an equal to sign that is used to connect the two expressions.

A linear equation is an equation that has a single variable that is raised to the power of one. When drawn on a graph, a linear equation is usually a straight line.

Given this equation : 8x + 14 = 10x

In order to simplify the equation, take the following steps:

Combine similar terms: 14 = 10x - 8x

Add similar terms together: 14 = 2x

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Answer:

A

Step-by-step explanation:

is the correct answershjjb-ajjdhbmn abhjdnn adofo seesorf annnf

According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.

Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.

This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.

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A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.

In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.

Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.

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Yes, monotone is a sequence.

We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.

Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.

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Answer:

A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.

So, 6500(0.857)3 = $4091.25

In 2D, tt can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D, on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

In 2D:

At a particular point P(h,k) to a curve y=f(y). Tangent vector is given by equation y(k) = f(h,k)*(x-k) which is unique for that point on the curve. Taking of length a tangent has no particular length. It can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D:

As a particular point P(h,k,1) to a surface f(x,y,z) = 0. Tangent plain is given by equation F(x)(x-h)+F(y)(y-k)+F(z)(z.1)=0 which is unique. For that point on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

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Based on the vertical line test, y is not a function of x in the given graph because the line drawn intercepts the graph at two points.

The vertical line test is used to test whether a relation that is graphed is a function or not.

To conduct the vertical line test, a vertical line is drawn to cut through the graph that represents a relation. If the line intersects the graph at exactly one point, then it is a function. If the line intersects the graph at more than one point, then the graph does not represent a function.

The image attached below shows the vertical line test. The line intercepts the graph at two points, therefore, the relation that is represented by the graph is not a function.

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Answer:

Being that every nickel is worth 5 cents you would set the equation up as 17  *  $0.10 = $1.70

Step-by-step explanation:

To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

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

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

Answer:

Julio's number is 40

Step-by-step explanation:

"If you subtract 17 from my number and multiply the difference by negative 4​, the result is negative 92​.

n= number

(n-17)*(-4) = -92

distribute

-4 *n - 17*(-4) = -92

-4n +68 = -92

subtract 68 from each side

-4n +68-68 = -92 -68

-4n = -160

divide each side by -4

-4n/-4 = -160/-4

n = 40

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.  

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

\(\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \text{ \: ( \: 5 \: , \: 7 \: )}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: let \: the \: points \: be \: A \: and \: B}}\)

\( \star{ \sf{ \: Let \: A ( 2 , 10 ) \: be \: ( x1 , y1 ) \: and \: B ( 8 , 4 ) \: be \: ( x2 , y2 )

}}\)

\( \underline{ \sf{ \: Finding \: the \: midpoint}}\)

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}\)

\( \hookrightarrow{ \sf{Midpoint \: = \: ( \frac{2 + 8}{2} \: , \: \frac{10 + 4}{2}})} \)

\( \hookrightarrow{ \sf{Midpoint = ( \frac{10}{2} \: \: , \: \frac{14}{2} }})\)

\( \hookrightarrow{ \sf{Midpoint = (5 \: , \: 7}})\)

\( \text{Hope \: I \: helped !}\)

\( \text{Best \: regards !!}\)

~\( \text{TheAnimeGirl}\)

Answer:

The other person who answered is correct i just finished answering that question and got it correct. So B

Step-by-step explanation:

Answer: $192.18

Step-by-step explanation:  531.49+240.42+281.67=1053.58

1053.58 - 275.66 = 777.92 - 48.29 = 729.63 - 107.64 = 621.99 - 429.81 = 192.18

The function that models the population t years after 2000 is22300 × e^(0.06t), The estimated fox population in the year 2008 is 36081. This can be answered by the concept of exponential function.

The question asks to find a function that models the population of foxes in a certain region with a continuous growth rate of 6 percent per year starting from the year 2000. It also asks to estimate the fox population in the year 2008 using this function.

a. Let P(t) be the population of foxes t years after 2000. Since the growth rate is continuous, we can use an exponential function with base e to model the population. We know that P(0) = 22300 (the population in the year 2000), and the annual growth rate is 6%. Therefore, we can write:

P(t) = 22300 × e^(0.06t)

b. To estimate the fox population in the year 2008, we need to find P(8) since t = 8 represents 8 years after 2000. Substituting t = 8 into the equation above, we get:

P(8) = 22300 × e^(0.06×8) = 22300 × e^0.48 ≈ 36081

Therefore, the estimated fox population in the year 2008 is 36081.

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Answer:

\(\huge\boxed{The\ area\ of\ square\ is\ greater.}\)

Step-by-step explanation:

Perimeter of Square:

P = 4(Length)

P = 4(40)

P = 160 cm

This means that the rectangle also has a perimeter of 160 cm

So, Finding the width of rectangle by Perimeter formula:

2L + 2W = Perimeter

2(50) + 2W = 160

100 + 2W = 160

Subtracting 100 to both sides

2W = 60

Dividing both sides by 2

W = 30

Now, Area of Square:

Area = Length * Length

Area = 40 * 40

Area = 1600 cm²

Area of Rectangle:

Area = Length * Width

Area = 50 * 30

Area = 1500 cm²

When we compare both of the area of the figure, we come to know that the area of square is greater.

Answer:

Step-by-step explanation:

(-5,8)

(2,1)

(0,1)

(-3,-20)

2. Evaluate the following expression: -1(5,-1) + 2(1,1)

(5,-2)

(-3,3)

(-5,2)

(7,1)

3. Evaluate the following expression (1,4) -5(1,1)

4. Let v=(8,-4) and w=(-4,2). Which of the following is true?

V * V =40

The x-component of V is 4

v= -2w

The y-component of w is 2

5. Which of the following vectors are orthogonal to (-1,3)? Check all that apply.

(1,3)

(-2,-3)

(3,1)

(-6,-2)

The absolute maximum value is 412 and the absolute minimum value is -617.

A function's absolute maximum point is the location at which it can reach its highest value. A similar absolute lowest point is where the function's maximum value is obtained.

The absolute maximum and minimum values of f(x) = 6x^3 − 9x^2 − 216x + 9 on the interval [-4, 5] can be found using the First and Second Derivative Tests.

First, find the critical points of f(x) by setting its first derivative equal to zero and solving for x:

f'(x) = 18x^2 - 18x - 216 = 0

Using the quadratic formula, we get x = 4,-3.

Next, use the second derivative test to determine if the critical points are maxima or minima:

f''(x) = 36x - 18

At x = 4, f''(x) > 0, so x = 6 is a local minimum.

At x = -3, f''(x) < 0, so x = -9 is a local maximum.

Finally, check the endpoints of the interval to see if they contain the absolute maximum or minimum:

At x = -4, f(-4) = 6(-4)^3 - 9(-4)^2 - 216(-4) + 9 = 345

At x = 5, f(5) = 6(5)^3 - 9(5)^2 - 216(5) + 9 = -546

At x= 4, f(4) = -617

At x= -3, f(-3) = 412

Therefore, the absolute maximum value is 412 and the absolute minimum value is -617.

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Answer:

Length of arc between two cars = 7 feet (Approx.)

Step-by-step explanation:

Given:

Radius of carinal wheel = 18 feet

Number of car equal distance = 16

Find:

Length of arc between two cars

Computation:

Angle between two cars = 360 / 16

Angle between two cars = 22.5°

Length of arc = [θ/360][2πr]

Length of arc between two cars = [22.5/360][(2)(3.14)(18)]

Length of arc between two cars = [0.0625][(6.28)(18)]

Length of arc between two cars = [0.0625][113.04]

Length of arc between two cars = 7.0625

Length of arc between two cars = 7 feet (Approx.)

C) Reasonableness, is the correct answer. The best solution for detecting the error of entering April 31 in the date field would be the programmed edit check of reasonableness.

Reasonableness checks are used to identify data that falls outside of expected or reasonable values. In this case, April 31 is not a valid date as April only has 30 days. Therefore, the reasonableness check would flag this error and prevent it from being entered into the system.

Mathematical accuracy checks are used to ensure that calculations are correct, but they would not be effective in detecting an error in the date field. Preformatted screens provide a standardized format for data entry, but they do not check for errors in the data itself.

Online prompting is a feature that prompts the user for additional information or confirmation before allowing data to be entered, but it would not necessarily detect an error in the date field unless specifically programmed to do so.

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Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

\(volume \ of \ cone = \pi r^2 \frac{h}{3}\)    =134.04cubic units

\(volume \ of \ cylinder = \pi r^2h\)  = 402.12 cubic units

\(volume \ of \ sphere = \frac{4}{3}\pi r^3\) = 268.08 cubic units

Answer:

Step-by-step explanation:

4

The population of cows at the free-range farm after 4 years with an initial population of 149 and a growth rate of 16% is approximately 252 cows.

To calculate the population of cows at a free-range farm after 4 years, given a growth rate of 16%, we can use the formula for exponential growth:

N = N0 * (1 + r)^t

where:

N0 is the initial population

r is the growth rate (as a decimal)

t is the time (in years)

N is the final population

We can use this formula to find the population of cows after 4 years, given that the initial population is 149 and the growth rate is 16% (or 0.16 as a decimal). Plugging in the values, we get:

N = 149 * (1 + 0.16)^4

Simplifying the equation by first adding 1 to the growth rate, then raising it to the power of 4, we get:

N = 149 * 1.69101696

Calculating the product on the right-hand side of the equation, we get:

N = 251.906

Rounding to the nearest whole number, we get:

N ≈ 252

Therefore, the population of cows at the free-range farm after 4 years with an initial population of 149 and a growth rate of 16% is approximately 252 cows.

In conclusion, the formula for exponential growth is a useful tool for predicting the growth of populations over time. In this case, we used the formula to calculate the population of cows at a free-range farm after 4 years, given an initial population of 149 and a growth rate of 16%. By understanding the formula and its applications, we can better understand how populations grow and change over time, and make predictions about future population trends.

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\(\\ \sf\bull\longmapsto 5.634\times 10^2\)

\(\\ \sf\bull\longmapsto 5634\times +0^{-3}\times 10^2\)

\(\\ \sf\bull\longmapsto 5634\times 10^{-1}\)

\(\\ \sf\bull\longmapsto 563.4\)

It will lie between 563 and 564

Answer:

Hey ian !

Answer: D. 563 and 564

\(\dashrightarrow \: { \tt{5.634 \times {10}^{2} = 563.4 }} \)

• Therefore:

\({ \tt{563 < 563.4 < 564}}\)