Anthony bikes a 16.2-mile long trail. If he bikes it 4 times, how faw will he have traveled

The piecewise function of the tax expressed below

From the question, we have the following parameters that can be used in our computation:

The table of values

To determine the piecewise function, we make use of the following variables:

x = taxable income

f(x) = tax

Using the above and the table of values as guides, we have the following:

f(x) = 0.1x, 0 ≤ x ≤ 9700

f(x) = 970 + 0.12(x - 970), 9701 ≤ x ≤ 39475

f(x) = 4543 + 0.22(x - 39475), 39476 ≤ x ≤ 84200

f(x) = 14382.5 + 0.24(x - 84200), 84201 ≤ x ≤ 160725

f(x) = 32748.5 + 0.32(x - 160725), 160726 ≤ x ≤ 204100

f(x) = 46628.5 + 0.35(x - 204100), 204101 ≤ x ≤ 510300

f(x) = 153798.5 + 0.37(x - 510300), x > 510300

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Answer:

x>-7

Step-by-step explanation:

x-5>-12

x>5-12

x>-7

x > -7.

[tex]x-5 > -12[/tex]

[tex]x-5+5 > -12+5\\ \\x > -7[/tex]

If x >-7 is the correct answer, then substituting x by "-7" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).

Substituting:

[tex](-7)-5 > -12\\ \\-12 > -12[/tex]

That's correct! x > -7 is the correct answer.

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Is 9 kg bigger than 4 pounds? Nine kilograms is definitely heavier, as one kilogram is equivalent to 2.2 pounds.

the real limits are; Lower Real Limits = 249.5 and Upper Real Limits = 250.5

Given the data in the question;

1 minute being the smallest unit on the scale

so we say; 1/2 which 0.5 minutes which we will use to calculate pur real limits time;

given that; the first subject sleeps 250 minutes

so

Lower Real Limits will be;

Lower Real Limits will = 250 - 0.5 = 249.5

Also our Upper Real Limits will be;

Upper Real Limits = 250 + 0.5 = 250.5

Therefore; the real limits are;

Lower Real Limits = 249.5

Upper Real Limits = 250.5

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The point that is a solution if the inequality:

y < (2/3)*x + 2

is (1, 2).

Here we want to find a solution for the inequality below:

y < (2/3)*x + 2

To check if an ordered pair is a solution, then we need to replace the values of the ordered point and check if the inequality is true.

If we try with the first point we will get:

3 < (2/3)*0 + 2

3 < 2

That is false.

The correct option is (1, 2)

2 < (2/3)*1 + 2

2 < 8/3

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The bearing from point point A to point B is given as follows:

57º.

From the text in this problem, the bearing from point B to point A is given as follows:

237º.

To obtain the inverse bearing, that is, the bearing from point A to point B, we must subtract the bearing from point B to point A given in this problem by 180º, as follows:

237 - 180 = 57º.

Hence the bearing from point point A to point B is of 57º.

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With equal probability and flip it, given that the flip was heads, the probability that I flipped the two-headed coin is: 0.6667

Let's call the event of flipping the fair coin "F" and the event of flipping the two-headed coin "T".

The probability of flipping heads given that we flipped the fair coin is 1/2, so P(heads | F) = 1/2.

The probability of flipping heads given that we flipped the two-headed coin is 1, so P(heads | T) = 1.

The probability of flipping the fair coin is 1/2 and the probability of flipping the two-headed coin is 1/2, so P(F) = P(T) = 1/2.

Using Bayes' Theorem, we can find the probability that we flipped the two-headed coin given that the flip was heads:

Plugging in the values, we get:

So the probability that we flipped the two-headed coin given that the flip was heads is 2/3, or approximately 0.6667.

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Answer:

(5x-2)=3x4

Step-by-step explanation:

add that's in the () first

Answer: .

Step-by-step explanation:

The linear function for the cost is:

f(x) = 6.5*x + 2.5

A general linear function is something like:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we know that there is a fixec charge of $2.50 plus $6.50 for each sweatshirt, then if you buy x of these, the cost will be modeled by the linear function below:

f(x) = 6.5*x + 2.5

The slope is the cost of each item and the y-intercept is the fixed cost.

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The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.

Let the number is n.

The phrase can be expressed as,

2n - 4.

Therefore, the expression is 2n - 4.

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For the given triangle find the exact value for cos(A) will be 5/13.

The sine is the side that faces away from the angle being examined.

The sine of the angle under consideration is called the cosine.

or the hypotenuse divides the opposite side to get the sine.

or the hypotenuse divides the adjacent side by the cosine.

Cosine is adjacent/hypotenuse, so keep that in mind. The values provided for this triangle can be plugged in.

Cos(A) = 5/13.

Avoid using a decimal response because rounding would be required and you wouldn't be providing an accurate figure. 5/13 as your response.

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The complete question

For the given triangle find the exact value for cos(A) assume angle C is a right angle

Based on the given task content; 5/11 is closer to 1/2.

A fraction is a number which has a numerator and a denominator. A numerator refers to the upper or top value while a denominator refers to the lower or bottom value of a fraction.

5/11

= 0.454545454545454

Approximately,

= 0.5

1/2 = 0.5

Hence, 1/2 is closer to 5/11

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Answer:

Step-by-step explanation:

You can solve for a, b, and c by using a system of linear equations.

Starting with the first equation:

a + b + c = 90

You can isolate a by subtracting b and c:

a = 90 - b - c

Next, substitute the expression for a into the second equation:

12(90 - b - c) + 10b + 6c = 870

Expanding the equation:

1080 - 12b - 12c + 10b + 6c = 870

Combining like terms:

1070 - 2b + -6c = 870

Adding 2b and 6c to both sides:

1070 = 870 + 2b + 6c

Subtracting 870 from both sides:

200 = 2b + 6c

Dividing both sides by 2:

100 = b + 3c

Finally, subtracting 3c from both sides:

100 - 3c = b

To find c, substitute the expressions for a and b back into the first equation:

a + b + c = 90

90 - b - c + b + c = 90

90 - c = 90

-c = 0

Therefore, c = 0.

To find b, substitute c = 0 into the expression for b:

100 - 3c = b

100 = b

Therefore, b = 100.

Finally, to find a, substitute b = 100 and c = 0 into the expression for a:

a = 90 - b - c

a = 90 - 100 - 0

a = -10

Note that negative values for a, b, and c are possible, but not necessarily meaningful for this specific problem or context.

The solution is:

a = -10

b = 100

c = 0

Answer:

1. Women

Store

66-34= 32

Online

13

Total

32+13= 45

2. Men

Total

34+9=43

3. Total

online

13+9=22

total

66+22= 88

If 84% of products come off the line ready to ship to distributors, then the probability of a product being within specifications is 0.84.

Since we are selecting 12 products randomly from the line each hour, the number of products within specifications (x) follows a binomial distribution with parameters n = 12 and p = 0.84.

Using a binomial cumulative distribution function (CDF), we can calculate the probability that x is less than a certain value. For example, if x is less than 7, the probability of this outcome would be considered unusual and the production line should be repaired.

So, the answer is "fewer than 7".

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The congruency rule that shows us that ΔBLK ≅ ΔACK by; SAS Congruency Postulate

The image showing the triangles tell us that;

∠BKL ≅ ∠CKA by opposite angles theorem

Likewise we see that BL is parallel to AC and as such;

∠BLK ≅ ∠ACK by alternate angles theorem

Similarly, we will also see that;

∠LBK ≅ ∠CAK by alternate angles theorem

Finally, we see that BL ≅ CA and as such we can conclude that ΔBLK is congruent to ΔACK by SAS Congruence Postulate

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Isosceles triangles have two equal angles.  The two equal angles are the bottom left and bottom right.

X = 28

Y = 152

See picture for explanation

- Jeron

The point slope form of the equation of the line through the given point with the given slope is y - 4 = -2(x + 1).

The equation in slope intercept form is y = -2x + 2.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-1, 4), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -2(x - (-1))

y - 4 = -2(x + 1)

Next, we would rewrite the equation in slope-intercept form as follows;

y - 4 = -2(x + 1)

y = -2x - 2 + 4

y = -2x + 2

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taking a looksie at the picture above, we can see the parabola has zeros/solutions at x = -2 and x = 1, we can also see that it passes through (0 , 2) as well, so

[tex]\begin{cases} x = -2 &\implies x +2=0\\ x = 1 &\implies x -1=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a( x +2 )( x -1 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that} \begin{cases} x=0\\ y=2 \end{cases} \\\\\\ a ( 0 +2 )( 0 -1 ) = 2\implies -2a=2\implies a=\cfrac{2}{-2}\implies \boxed{a=-1} \\\\[-0.35em] ~\dotfill\\\\ -(x+2)(x-1)=y\implies -(x^2+x-2)=y\implies {\Large \begin{array}{llll} -x^2-x+2=y \end{array}}[/tex]

Check the picture below.

The volume of the cylinder will be 138.2 inches³

From the information, the shape has a height 3 in more than 4 times the radius of the cylinder's base.

The volume of a cylinder is equal to V = πr²h

where

r is the radius of the base

h is the height

In the problem, h = 3 + 4r

r = 2 inches

To calculate h, h = 3 + 4 × 2

h = 11 inches

The volume of a cylinder is equal to:

v = πr²h

v = π × 2² × 11

v = 44π inches³

V = 138.2 inches³

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Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the cylinder's base. What is the volume of the cylinder when it has a radius of 2 in?

The missing expense values are given as follows:

The missing expenses are obtained applying the proportions in the context of this problem.

The rent expense of $2,400 is 40% of the total expenses, hence the total expenses are given as follows:

0.4x = 2400

x = 2400/0.4

x = $6000.

The utilities expenses are 5% of that, hence:

0.05 x 6000 = $300.

The labor expenses are 15% of the total, hence:

0.15 x 6000 = $900.

The supplies expenses are 30% of the total, hence:

0.3 x 6000 = $1800.

The advertising expenses are 10% of the total, hence:

0.1 x 6000 = $600.

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Answer: 5π ft

Step-by-step explanation:

The mean number of siblings for the sample of 100 students is likely to be close to 1.8 siblings, with a standard deviation of 0.7/√100 = 0.07 siblings.

A skewed distribution is one in which the data deviates from the normal distribution and has a longer tail on one side. In the case of the number of siblings, the distribution is skewed to the right, meaning that there are more students with higher numbers of siblings. The mean of 1.8 siblings and standard deviation of 0.7 sibling indicate the average and spread of the number of siblings in the entire student population of the high school. When a random sample of 100 students is selected, the mean number of siblings in the sample will be calculated. This mean will provide an estimate of the mean of the population, but there is still a chance of sampling error.

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The correct answer is  (f + g)(x)= -5x²-9x+11.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

you have two functions f(x) and g(x) the sum of them f(x) + g(x) is represented as (f + g)(x)

then if our functions are f(x) =2-9x,

and g(x) = -5x² + 9

then (f + g)(x)

= f(x) + g(x)

= -5x²-9x+11

Hence, The correct answer is -5x²-9x+11.

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The water that should be added to 14mL of 9% alcohol solution to reduce the concentration to 7% is 4ml.

Here; In this problem we have a concentration problem, represented by the volume of the solvent divided by the volume of the entire solution. The initial and final concentrations of the solutions are presented in the following formulas;

Given;

14mL of 9% alcohol solution.

Initial concentration;

9/ 100 = x / 14

x = 63/50

Final concentration;

7 / 100 = x / (14 + y)

(14 + y)=x*100/7

y=18-14

y=4

Therefore, water must be added to reduce the concentration will be 4ml.

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The cubic regression equation is y = 27.13x^3 - 473.44x^2 + 2829.33x - 4381.69 and the estimated the number of graduates in 2001 is 5565

From the question, we have the following parameters that can be used in our computation:

See attachment

Using a graphing calculator, we have the following summary:

The model from the above summary is

y = 27.1349x^3 - 473.4406x^2 + 2829.3314x - 4381.6892

Approximate

y = 27.13x^3 - 473.44x^2 + 2829.33x - 4381.69

In the year 2001, we have

x = 11

So, we have

y = 27.13 * 11^3 - 473.44 * 11^2 + 2829.33 * 11 - 4381.69

Evaluate

y = 5565

The estimated the number of graduates in 2001 is 5565

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Numeric Variables, as they are referred to by the creators of SPSS Statistics, are a combination of ratio and interval variables.

Numeric Variables are a type of data used in statistical analysis, and are a combination of both ratio and interval variables. Ratio variables are those that can be measured, counted, and compared, and include ratios and differences between values. Interval variables are those that measure an amount, such as temperature, but are not able to be compared in terms of ratios or differences. The creators of SPSS Statistics refer to these combined variables as Numeric Variables. Numeric Variables can be used to measure and compare data, as well as to create graphs and charts. They are particularly useful in understanding the relationships between different sets of data.

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The percent of Dan's average did he score during this game is 11.11%

Dan's score in the high school basketball team during last game= 18 points

Dan's score in the high school basketball team during this season = 20 points

Percent of Dan's score during this game = (20 - 18) / 18 × 100

= 2/18 × 100

= 11.11%

In conclusion, Dan scored an average percentage of 11.11% during this game.

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