Question 8 of 10
Solve 4x- c= k for x.
A. x= 4(k+ c)
B. x=k-c/4
C. x = 4(k-c)
D. x=k+c/4
SUBMIT

The height of the flagpole is 26.0 feet.

Height is the vertical distance between two points.

To calculate the height of the flagpole, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Answer:

A: [|8.40−8.96|/8.96]⋅100,

B. 6.25%

Step-by-step explanation:

A.

% error =[ | calculate density - accepted density|/ accepted density]*100%

A: [|8.40−8.96|/8.96]⋅100

B.  |8.40−8.96|/8.96⋅100 = 6.25%

The usual statistical distribution of phenotypes for a quantitative character in a population is a bell-shaped curve known as a normal distribution.

In a population, a quantitative character refers to a trait that can be measured and varies along a continuum, such as height, weight, or blood pressure. The distribution of phenotypes for such characters is often influenced by various factors, including genetic and environmental factors. However, assuming that disruptive selection, which favors extreme phenotypes, is not occurring, the distribution of phenotypes tends to follow a normal distribution.

The normal distribution arises due to the central limit theorem, which states that when a large number of independent random variables contribute to a trait, their combined effect tends to follow a normal distribution. This is applicable to many biological traits where multiple genetic and environmental factors influence the phenotype.

Overall, the assumption of a normal distribution for quantitative traits in a population provides a useful framework for understanding the expected distribution of phenotypes and analyzing statistical patterns in relation to these traits.

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Answer:

The slope the parallel one is 2

the slop for the perpendicular one is -1/2

Step-by-step explanation:

the slope of two parallel lines are the same.

the slope of the two perpendicular lines are the opposite reciprocal.

Answer:

Let's simplify step-by-step.

x2−4+(4)(6)x+3

=x2+24x−1

I hope it helps

Option A is showing the right multiplication of the given expression that is  6x³-24x²+24x +3x²+12x+12

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given expression is:-

The multiplication will be given as:-

=  (  x² - 4x + 4 )   x    (  6x + 3 )

=  ( 6x³-24x²+24x )  +  (  3x²+12x+12  )

Therefore the Option A is showing the right multiplication of the given expression that is  6x³-24x²+24x +3x²+12x+12

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The solutions of the quadratic equation are:

x = 7/4

x = -1/4

Here we have the quadratic equation:

2x^2 - 3x = 1

Remember that the general quadratic equation:

a*x^2 + b*x + c = 0

Has the solutions:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Then our quadratic equation:

2x^2 - 3x = 1

2x^2- 3x - 1 = 0

The solutions are:

\(x = \frac{3 \pm \sqrt{(-3)^2 - 4*2*-1} }{2*2}\\\\x = \frac{3 \pm 4}{4}\)

So the two solutions are:

x = (3 + 4)/4 = 7/4

x = (3 - 4)/4 = -1/4

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The given statement that Adverse selection occurs because of asymmetric information is true . Because it happens when one party have no idea about other party .

Adverse Selection:

Adverse selection generally refers to the situation in which the seller has information that the buyer does not have or, conversely, knows about aspects of the product's quality. In other words, it is a case of misusing asymmetric information. Information asymmetry, also known as information impairment, occurs when one party to a transaction has more important knowledge than the other party.

For example, corporate managers may be more willing to issue stock if they know that the stock is overvalued relative to its true value. Buyers may suffer losses by purchasing overvalued stocks. In the used car market, sellers can learn about vehicle defects and charge buyers extra fees without disclosing the problem.

A common consequence of negative selection is that consumers lack information from sellers and manufacturers, increasing costs and creating market asymmetries.

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Answer:

1/4 chance it is a diamond

Step-by-step explanation:

In a deck of cards there are 13 diamond cards. In total there are 52 cards. 13/52=1/4

Therefore, the probability of drawing exactly 3 aces, 2 queens, and 1 king is approximately 0.000682.

We can solve this problem using the multiplication rule for independent events. The probability of drawing a specific card from a standard deck is 1/52, since there are 52 cards in the deck and each is equally likely to be drawn. We can use this probability to find the probability of drawing a specific combination of cards.

(a) To find the probability of drawing exactly 3 aces, 2 queens, and 1 king, we can break it down into three steps:

Find the probability of drawing exactly 3 aces: There are 4 aces in the deck, so the probability of drawing an ace on the first draw is 4/52. Since we need exactly 3 aces, the probability of drawing 3 aces and 3 non-aces (out of the remaining 48 cards) is given by the binomial probability formula:

P(3 aces) = (4/52)^3 * (48/52)^3 * C(6,3)

where C(6,3) is the number of ways to choose 3 cards out of 6. Using a calculator, we get:

P(3 aces) = 0.0080

Find the probability of drawing exactly 2 queens: There are 4 queens in the deck, so the probability of drawing a queen on the first draw is 4/52. Since we need exactly 2 queens, the probability of drawing 2 queens and 4 non-queens (out of the remaining 48 cards) is given by:

P(2 queens) = (4/52)^2 * (48/52)^4 * C(6,2)

where C(6,2) is the number of ways to choose 2 cards out of 6. Using a calculator, we get:

P(2 queens) = 0.2123

Find the probability of drawing exactly 1 king: There are 4 kings in the deck, so the probability of drawing a king on the first draw is 4/52. Since we need exactly 1 king, the probability of drawing 1 king and 5 non-kings (out of the remaining 48 cards) is given by:

P(1 king) = (4/52)^1 * (48/52)^5 * C(6,1)

where C(6,1) is the number of ways to choose 1 card out of 6. Using a calculator, we get:

P(1 king) = 0.4017

Now we can use the multiplication rule to find the probability of drawing exactly 3 aces, 2 queens, and 1 king:

P(exactly 3 aces, 2 queens, 1 king) = P(3 aces) * P(2 queens) * P(1 king)

= 0.0080 * 0.2123 * 0.4017

= 0.000682

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Answer:

1. C.

2. D.

Step-by-step explanation:

1. All coordinates are doubled

2.  All coordinates are halved.

If the right-hand-side for the Labor Time constraint decreases to 400, the dual value (shadow price) will become a more negative number, such as -8.

This is because the constraint is tighter, and the reduced availability of labor time will make the resource more valuable in the cost minimization problem. The new allowable increase in the right-hand-side will be smaller and the allowable decrease will be larger, reflecting the increased importance of meeting the resource constraint. This is because the decrease in resource availability means that the value of an additional unit of that resource has increased, leading to a higher cost of not having enough of it.

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The difference in the present values if you are paid these annual amounts of money at the beginning of each year rather than at the end of each year is $9,470.

Let's start with the present value when the payments are made at the end of each year.PV1 = ($9,700 x [1 - (1 / (1 + 0.09)22)]) / 0.09= $119,737.13

Now let's find the present value when the payments are made at the beginning of each year. To do this, we need to adjust the interest rate and the number of periods.

The interest rate needs to be adjusted because it's an annual rate and the payments are being made at the beginning of each year, so we need to compound the interest for the year before we receive the payment.

The number of periods needs to be adjusted because we're receiving the payments one year earlier.

PV2 = ($9,700 x [1 - (1 / (1 + (0.09/1))21)]) / (0.09/1)= $129,207.86

Finally, we can find the difference between these two present values:

PV2 - PV1= $129,207.86 - $119,737.13= $9,470.73

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Answer:

85 - 40 = 45 ÷ 3 weeks = $15

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Answer:

Step-by-step explanation:

Distance formula:

d = rt

where d = distance, r = average speed and t = time travelled.

They told us that an object travels 30 meters in 20 seconds.

So we can say d = 30 and t = 20

If you put these values back into the distance formula you get:

d = rt

30 = r times 20

30 = 20 r

So now we want to find what "r" (average speed) is.

Divide both sides by 20.

20 r = 30

r =  \(\frac{30}{20}\) = 1.5 meters per second.

Answer:

1. 45 in²

2. 108 cm²

3. 104 m²

4. 75 in²

5. 1140 ft²

6. 166.5 mm²

Step-by-step explanation:

b=base, h=height

1. Area of triangle = \(\frac{1}{2}\) x bh

\(\frac{1}{2}\) x 10(9) = 45

2. \(\frac{1}{2}\) x 12(18) = 108

3. \(\frac{1}{2}\) x 16(13) = 104

4. Area of a trapezoid: \(\frac{1}{2}\) x h( length of base 1 +length of base 2)

\(\frac{1}{2}\) x 6(10+15) = 75

5. Area of kite = \(\frac{1}{2}\) x length of diagonal 1 x length of diagonal 2

diagonal 1 = 5*9 = 45

diagonal 2 = 8*8 = 64

\(\frac{1}{2}\) x 45(64) = 1140

6. \(\frac{1}{2}\) x 9 (13+24) = 166.5

Answer:

9.913 × 108

Step-by-step explanation:

Answer:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

11 distinct integers can be written as the sum of two, not necessarily different, special fractions.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. A fraction is a number that is a component of a whole. By breaking a whole into a number of components, it is assessed. A fraction only informs us of the number of components that make up the total. The slash that is written between the two numbers identifies a fraction. The numerator is the highest number, and the denominator is the lowest number.

Here,

The better explanation is in the image.

The sum of two special fractions, not necessarily different, can be expressed as 11 separate numbers.

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\(P = l + l + b + b\)

\(P = 2(2a + 3) + 2(8a - 12)\)

\(\boxed{\sf{P=20a-18}}\)

\(P = 20(3) - 18\)

\(P = 60 - 18\)

\(\boxed{\sf{P = 42 cm}}\)

\(P = (3b + 7) + (7b - 2) + (7b - 2)\)\(\boxed{\sf{P = 17b+3}}\)

\(P = 17(6) + 3\)

\(P = 102 + 3\)

\(\boxed{\sf{P = 105 \: m}}\)

while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent​

Let

x ------> amount that Curtis spent

we have that

10=2x-26 ------> equation that represent this situation

solve for x

2x=10+26

2x=36

x=$18

therefore

The factored form of the polynomial x³ - 36x is x(x + 6)(x - 6).


To factor the polynomial x³ - 36x, we look for common factors and apply factoring techniques.

The common factor in this polynomial is x. By factoring out x, we get x(x² - 36).

Next, we have a difference of squares expression x² - 36. This can be factored as (x + 6)(x - 6), where we use the pattern (a² - b²) = (a + b)(a - b).

Combining these factors, we obtain the factored form of the polynomial as x(x + 6)(x - 6).

To check the factored form, we can multiply the factors together and verify if it equals the original polynomial:

x(x + 6)(x - 6) = x(x² - 6x + 6x - 36) = x(x² - 36) = x³ - 36x.

As the result matches the original polynomial x³ - 36x, we can confirm that the factored form x(x + 6)(x - 6) is correct.

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Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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Question 1

\(0.1x=0.2(x+2)\\\\0.1x=0.2x+0.4\\\\-0.1x=0.4\\\\x=\boxed{-4}\)

Question 2

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

Multiplying both sides by 12,

\(2d+8=3(d-2)\\\\2d+8=3d-6\\\\8=d-6\\\\d=\boxed{14}\)

Answer:

14a-2

Step-by-step explanation:

The Answer is 95 miles using distance rule of maths.

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

So if we mark their position in x-y plane. one is not x line and another one is in y line.

So the coordinates of the points are (57,0) and (0,76)

The distance between them is √(y²+x²)

= √(57²+76²)

=√ (3249 + 5776)

= 95 miles

Hence the distance between them is 95 miles.

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Answer:

The slope of the line is 3 ---> m = 3

Step-by-step explanation:

To find the slope of the line, you can choose any two given points from the table. Let's do (1, 3) and (2, 6)

Slope formula:  

m = (y2 - y1) / (x2 - x1)

m = (6 - 3) / (2 - 1)

m = 3 / 1

m = 3

Answer:

m = 3

Step-by-step explanation:

3 is the slope.