8x - 4y = 16
8x+4y= 16

Answer:

C.

Step-by-step explanation:

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Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Answer:

\(\frac{4}{5}\)x-2=x

\(\frac{4x}{5}\)-2=x

\(\frac{4x}{5}\)+\(\frac{5(-2)}{5}\)=x

\(\frac{4x+5(-2)}{5}=x\)

x= -10

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

4/10 are left. We can reduce it and get 2/5.

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Answer:

Option A is correct.

Step-by-step explanation:

Between B and C, the value of height (y) remains constant, as shown as a horizontal line on the graph.

Answer:

115% increase.

Step-by-step explanation:

129 - 60 = 69 / 60 = 1.15

1.15 x 100 = 115

SOLUTION

(a) All the vertices have 3 lines emanating from them with the exception of C which has 2 lines. That is points A, B, D, and E have 3 lines emanating from them. So their degree is 3.

Therefore, the degree of vertex A is 3

(b) The even vertex is the one that has 2 lines emanating from it. So, the even vertex is C, and the odd vertices are A, B, D, and E. Because they have 3 lines.

(c) All the vertices that are adjacent to E are all the lines drawn to touch all the other vertices. So, A, B, and D are connected to E.

Therefore the vertices adjacent to E are A, B, and D

Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

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Answer:

Step-by-step explanation:

Area:

A = 6 in · 10 in - 2 in · 3 in = 60 in² - 6 in² = 54 in²

Perimeter:

P = 2·6 in + 10 in + 6 in + 3 in + 1 in + 2·2 in = 12 in + 20 in + 4 in = 36 in

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

The equation using slope - intercept from the given point.

(a) y=8x-46

(b) 8x-y=46

what is slope ?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

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There are 3432 bit strings of length 14 with the same number of 0s as 1s.

(a) How many bit strings of length 14 have exactly three 0s?
To find this, we can use the combination formula: C(n, k) = n! / (k!(n-k)!), where n = 14 (length of the bit string) and k = 3 (number of 0s).
C(14, 3) = 14! / (3!(14-3)!) = 14! / (3! * 11!) = 364
So, there are 364 bit strings of length 14 with exactly three 0s.

(b) How many bit strings of length 14 have the same number of 0s as 1s?
Since the bit string has 14 bits, we need 7 0s and 7 1s for the same count.

C(14, 7) = 14! / (7!(14-7)!) = 14! / (7! * 7!) = 3432
So, there are 3432 bit strings of length 14 with the same number of 0s as 1s.

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The predicted value (in dollars) for maintenance expenses when a truck is 7 years old is $626.3.

In this question,

The equation for least regression line to this data set is

y' = 76.82x + 88.56 ------- (1)

Number of years, x = 7

The general form of equation for least regression line is

y' = a + bx

where y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.

The predicted value (in dollars) for maintenance expenses when a truck is 7 years old can be calculated as

y' = 76.82x + 88.56

Substitute the value of x in the above equation, we get

y' = 76.82(7) + 88.56

y' = 537.74 + 88.56

y' = 626.3

Hence we can conclude that the predicted value (in dollars) for maintenance expenses when a truck is 7 years old is $626.3.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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The Kansas City Chiefs has a better chance of winning the super bowl 2023.

In 1967's Super Bowl I, Las Vegas sportsbooks gave the Green Bay Packers a 14-point advantage against the Kansas City Chiefs. Nevada was the only state up until 2018 to allow legal Super Bowl sports betting.

The reigning champion Kansas City Chiefs are the early favorited in the Super Bowl 58 odds, according to the top NFL betting companies. At BetMGM, the Super Bowl 58 odds for the Kansas City Chiefs are +600. You can evaluate the odds on a team you prefer to discover the best price because competing sportsbooks provide different odds for each team to win the Super Bowl.

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Answer:

28x + 4, 0 < x < 10

22x + 8, x ≥ 10

Step-by-step explanation:

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and 22x + 8, x ≥ 10.Option A is correct.

A connection between independent variables and the dependent variable.is defined by the function.

Given data;

Trout costs for each pound are, $28,

Shipping charges,$4

x is the number of orders

Given condition;

Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The total amount is found as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒28x + 4,

For condition 2 the total value is represented as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒ 22x + 8

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and  22x + 8, x ≥ 10.

Hence, option A is correct.

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:

See proof below

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC

If C is the midpoint of BD then BC = CD

Using the transitive property of equality, if a = b and  b = c  then a =c

We apply this to the above line segments and get

If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length

So AB is congruent to CD

The residual for this case is approximately -0.4.

The predicted response for the given case can be obtained by substituting the values of X1, X2, X3, and X4 into the regression equation:

Y = 45.32 - 6.556X1 + 1.697X2 + 1.404X3 + 0.426X4

Substituting X1 = 10, X2 = 8, X3 = 6, and X4 = 48:

Y = 45.32 - 6.556(10) + 1.697(8) + 1.404(6) + 0.426(48)

Y ≈ 24.4

The predicted response for this case is approximately 24.4.

The residual is calculated by subtracting the predicted response from the actual response:

Residual = Actual response - Predicted response

Residual = 24 - 24.4

Residual ≈ -0.4

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Answer:

D or 6.4

Step-by-step explanation:

-6.3*(-2) + 2(-2 - 1.1)

- 6.3 * - 2 = 12.6 Notice that the two minus signs become a +

(-2 - 1.1)= (-3.1)   Multiply -3.1 * 2 = - 6.2

12.6 - 6.2 = 6.4

Step-by-step explanation:

(a+b)² = (a+b) × (a+b)

= a(a+b) × b(a+b)

= a² +ab + ba + b²

= a² + b² + 2ab

103² = (100 + 3)²

= 100² + 3² + (2×100×3)

= 10000 + 9 + 600

= 10609

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The ratio shown above is :

it can be more simplified as :

Answer:

3.482 x 10^9

Step-by-step explanation:

3, 4, 8 and 2 are the only numbers that aren't zero, so they're in the first part of the equation. 3 is the first number, so it goes before the decimal while the others are behind it. There are 9 total spots behind the 3, which is why it's 10 to the 9th power in this notation.

b. y=x/3+7

we divide x=3t by 3 to just get t, which gives us x/3=t, so if this is the value of t, we can put it in the main equation giving us y = x/3+7 so b.

Using combinations, we know that 4 different types of items will be selected.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We can choose the components of combos in any order.

Permutations and combinations can be mixed up.

Combination formula: \(n C r=\frac{n !}{(n-r) ! r !}\)

So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.

We, therefore, have 4 objects, and a person chooses 3 at random.

\(\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}\)

Therefore, using combinations, we know that 4 different types of items will be selected.

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The equation of this circle in standard form include the following: D. (x + 7)² + (y - 10)² = 11².

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters:

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-7))² + (y - 10)² = 11²

(x + 7)² + (y - 10)² = 11²

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