check your solution for 12(2w-3)=6w​

Answer:

no it doesn't

Step-by-step explanation:

\( \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ \)

( x - 1 )s simplifies

\( \frac{ {x}^{2} + x + 1 }{x + 1} \\ \)

_________________________________

Thus ; the expression doesn't simplify to x.

Answer: \(-2 \leq x \leq 9\)

Step-by-step explanation:

The domain is the set of x-values for which the relation is defined.

The domain of the graph will be -2 ≤ x ≤ 9 which is shown in the given figure.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

The domain of a graph is the set of all possible input values (also called the independent variable) that can be plotted on the graph. In other words, it is the range of values that the horizontal axis (also called the x-axis) of the graph covers.

To determine the domain of a given graph, you will need to look at the labels and scale of the x-axis.

The domain of a graph is the set of all possible input values in intervals as -2 ≤ x ≤ 9 that can be plotted on the graph.

Thus, the domain of the graph will be  -2 ≤ x ≤ 9, as indicated in the illustration.

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For a negative answer, subtract the greater number from the smaller number.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction. For example, in the following image, there are 5-2 peaches, which is 5 peaches with 2 removed, for a total of 3 peaches. As a result, the difference between 5 and 2 is 3; that is, 5-2 = 3. While traditionally linked with natural numbers in mathematics, subtraction may also refer to the removal or reduction of physical and abstract quantities utilizing a variety of objects such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices.

For a negative answer, subtract the greater number from the smaller number.

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By using the concept of sample, it can be concluded that-

Individual members of a sample are referred to as participants.

What is sample?

At first it is important to know about population

The set of items from where the data can be taken for statistical survey or research purpose is called population.

A subset of population is called sample.

Population and sample is an important tool in mathematics and statistics especially for doing testing of hypothesis and other statistical research.

In testing of hypothesis, a population is taken and sample are drawn from the population for testing purpose

Individual members of a sample are referred to as participants.

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The formation's height is 31 meters to the closest meter.

In mathematics, height is defined as the vertical distance between an object's top and bottom. It is also referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height, altitude, and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height is a standard bodily measurement that is commonly measured in feet (ft) + inches (in) in the United States and centimeters (cm) abroad. Because they are length measurements, the SI unit would be meters.

We can use the tangent function to calculate the formation's height, h.

tan ( 36°) = h/43

Here, we have to multiply both sides by 43 we get,

43tan (36°)= h

h=31m

Therefore, the height of the formation to the nearest meter is 31m.

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Answer:

2064.19 km^3

Step-by-step explanation:

Formula for volume of a sphere

V = 4/3 pi r^3

  = 4/3  *  3.14  * 7.9^3  =

Answer:

\(2064\ km^3\)

Step-by-step explanation:

Volume of a Sphere: \(\frac{4}{3}\pi r^3\)

\(V=\frac{4}{3}\pi r^3\)

\(V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3\)

Therefore, the volume of the sphere is \(2064\ km^3\)

Hope this helps!

Answer:

6 inches

Step-by-step explanation:

So first you would make 2 3/7 a dismal. So that is 2.43. Then you add 2.43 and 3.56 to get 5.99 inches tall. The you round to the nearest whole number to get 6 inches.

Answer: x = 174, and x < 174.

Let the number be x.

Then 1/3 of the number = 1/3*x

1/3*x is decreased by 36 is the same as 1/3*x - 36

If 1/3*x - 36 is at most 22, we can write:

1/3*x - 36 is less than or equal to 22.

Therefore,

1/3*x - 36 <= 22

1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)

From (i):

1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.

From (ii):

1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.

Therefore,

x = 174, and x < 174.

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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Answer:

Are you stuck step-sis?

Step-by-step explanation:

Answer:

Step-by-step explanation:

weekend 1 : 3+2= 5

weekend 2 : 5.5+3.5=9

difference: 9-5=4

increase/initial value [times] 100

4/5(100)= 80%

Answer: d

Step-by-step explanation:

Answer:

B: Range of round 1 were higher than the range of Round-2.

Step-by-step explanation:

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The 25th number in the arithmetic sequence is 197.

The sequence starts with the number 5 and counts by 8s. To find the 25th number in the sequence, we need to find the number that comes after the 24th number.

To do this, we can use the formula for the nth term of an arithmetic sequence, which is given by the formula:

aₙ = a₁ + (n - 1)d

In this case, a₁ is the first term of the sequence (5), n is the number of terms (25), and d is the common difference (8). Plugging these values into the formula, we get:

a₂₅ = 5 + (25 - 1) * 8

Simplifying this expression, we get:

a₂₅ = 5 + 24 * 8
    = 5 + 192
    = 197

Therefore, the 25th number in the sequence is 197.

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Answer:

Step-by-step explanation:

The triangles are similar but NOT congruent.

3 corresponding angles mean the sides are proportional in length but not necessarily equal.

Answer:they are the same size and length

Step-by-step explanation:

The equation of the perpendicular bisector is of the form \($y = mx + b$\), where \($m = -\frac{1}{2}$\)  and \($b = 4$\).

The equation of the perpendicular bisector of the line segment connecting the points \($(-3,8)$\) and \($(-5,4)$\)has the form \($y = mx + b$\).

To find the equation of the perpendicular bisector, we first need to find the midpoint of the line segment connecting the two points. The midpoint formula is given by:

Midpoint \(= $ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $\)

Using the given points $(-3,8)$ and $(-5,4)$, we can calculate the midpoint as follows:

Midpoint\(= $ \left( \frac{-3 + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4, 6) $\)

Now that we have the midpoint, we need to determine the slope of the line segment connecting the two points. The slope formula is given by:

Slope \(= $ \frac{y_2 - y_1}{x_2 - x_1} $\)

Using the coordinates $(-3,8)$ and $(-5,4)$, the slope can be calculated as follows:

Slope \(= $ \frac{4 - 8}{-5 - (-3)} = \frac{-4}{-2} = 2 $\)

The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment. Therefore, the slope of the perpendicular bisector is $-\frac{1}{2}$.

Now, using the midpoint $(-4, 6)$ and the slope $-\frac{1}{2}$, we can find the equation of the perpendicular bisector by substituting these values into the slope-intercept form equation $y = mx + b$:

$6 = -\frac{1}{2} \cdot (-4) + b$

Simplifying the equation:

$6 = 2 + b$

$b = 6 - 2 = 4$

Therefore, the equation of the perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ is:

$y = -\frac{1}{2}x + 4$

Hence, the equation of the perpendicular bisector is of the form $y = mx + b$, where $m = -\frac{1}{2}$ and $b = 4$.

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The slope of the regression line is  b=61.02 and y-intercept is a=3.12

Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the

Given,

The regression line is y=3.12+61.02 s

Here the slope is b=61.02

The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.

And the y-intercept is a=3.12

It is the distance estimated by this model if the speed is zero miles per hour.

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We can say that 219 respondents believed that growth in Utah Valley had deteriorated the quality of life.

Percentage, which represents a proportion of the total sample size. To be more specific, it indicates that 54% out of the 405 Utah County residents surveyed believed that growth in Utah Valley had deteriorated the quality of life.

To calculate the actual number of respondents who held this view, we can multiply the percentage by the total sample size:

54% x 405 = 218.7

Rounding up to the nearest whole number, we can say that 219 respondents believed that growth in Utah Valley had deteriorated the quality of life.

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

1,637.984

hope this helps

Answer:

It's B

Step-by-step explanation:

I did the test

Answer:

350 ml

Step-by-step explanation:

there are 3 sugar parts so each one is worth 70

70x5 = 350

Answer:

10918.21688

Step-by-step explanation:

well 24 converted into grams is= 10886.21688

and 1/4 converted into grams is= 32

you just simply add 10886.21688 and 32 together, which gives you 10918.21688.

i hope this helped, good luck.

The Cartesian function x = \(\sqrt\sqrt25-y^2\) can be expressed in polar form as r = 5.

In Cartesian coordinates, the given function x = \(\sqrt\sqrt25-y^2\) represents a circle centered at the origin with a radius of 5. By rearranging the equation, we can see that x is equal to the square root of the quantity 25 minus y squared.

This implies that x can take on any non-negative value up to 5 as y varies from -5 to 5. In polar coordinates, we express the location of a point using its distance from the origin (r) and its angle (θ) with respect to the positive x-axis.

Converting the equation into polar form, we replace x with r and obtain r = 5, which indicates that the distance from the origin is a constant value of 5, regardless of the angle.

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The probability of being dealt a hand consisting of the 7, 8, 9, 10, and Jack, all from the same suit, from a standard 52-card deck is 1/129,948.

In a standard deck, there are 4 suits: hearts, diamonds, clubs, and spades. Each suit contains 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King).

Since we want all 5 cards to be from the same suit, we need to choose one of the four suits. Once we choose a suit, there are 5 specific cards in that suit that we want (7, 8, 9, 10, and Jack).

Therefore, the number of favorable outcomes is:

Number of suits to choose from = 4

Number of specific cards in each suit = 5

Number of favorable outcomes = 4 × 5 = 20

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 20 / 2,598,960

Simplifying the fraction:

Probability = 1 / 129,948

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Answer:

it cannot be simplified

Step-by-step explanation:

Answer: it is already simplified

61/82

Answer:

1.Suppose 3 | 2x. Then we can write 2x = 3k for some integer k. Rearranging, we have x = (3/2)k. Since k is an integer, (3/2)k is also an integer, which means that x is divisible by 3. Hence, 3 | x.

First, suppose 3 | (2n^2 + 1). Then we can write 2n^2 + 1 = 3k for some integer k. Rearranging, we have 2n^2 = 3k - 1. Since 3k - 1 is odd, we can write it as 2m + 1 for some integer m. Substituting, we have 2n^2 = 2m + 1, which implies that n^2 = m + (1/2). But since m is an integer, (1/2)m is not an integer, which means that n^2 is not an integer. This is a contradiction, so our assumption that 3 | (2n^2 + 1) must be false.

Now suppose 3 - n. Then we can write n = 3k - 1 for some integer k. Substituting, we have 2n^2 + 1 = 18k^2 - 12k + 3. Factoring out 3, we have 2n^2 + 1 = 3(6k^2 - 4k + 1). But 6k^2 - 4k + 1 is always an integer, so if 3 - n, then 3 | (2n^2 + 1).

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Step-by-step explanation: