Income tax is 5% on the first $50,000.00 of income or less, and 8% on any income in excess of $50,000.00. Let T(x) be a function of the income x.

Answer:

i think is C

I'm not sure about it

The sag in the cable for problem 5/160 is approximately 24.4 meters.

To solve the problem of finding the sag in a cable, we can use the catenary equation. The equation is given by:

y = a cosh(x/a)

For problem 5/159, we were given a cable weighing 25 N/m and spanning a distance of 160 m. We can find the tension in the cable by using the formula:

T = wL/2

Substituting in our values, we get:

T = (25 N/m)(160 m)/2 = 2000 N

Now we can solve for a by using the formula:

a = T/(w*g)

where g is the acceleration due to gravity. Substituting in our values, we get:

a = (2000 N)/((25 N/m)*9.81 m/s^2) ≈ 8.13 m

Finally, we can find the sag at the midpoint of the cable (x = L/2) by plugging into the catenary equation:

y = a cosh(x/a) = (8.13 m) cosh(80 m/8.13 m) ≈ 24.6 m

Therefore, the sag in the cable is approximately 24.6 meters.

For problem 5/160, we are given a similar situation but with a shorter span of 159 meters. Using the same method as above, we find that:

T = (25 N/m)(159 m)/2 = 1987.5 N

a = (1987.5 N)/((25 N/m)*9.81 m/s^2) ≈ 8.06 m

y = a cosh(x/a) = (8.06 m) cosh(79.5 m/8.06 m) ≈ 24.4 m

Therefore, the value obtained is approximately 24.4 m.

To know more about acceleration refer here:

https://brainly.com/question/30499732#

#SPJ11

Answer:

D

Step-by-step explanation:

1/5*12x/1=

12x/5

1/5*-10=

-2

D=12x/5-2

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

Learn more about taylor polynomials at https://brainly.com/question/31978863

#SPJ11

The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.

To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.

First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).

Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).

To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.

After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.

To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.

Plugging in the values we calculated, we get:

(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.

Know more about percent here:

https://brainly.com/question/28670903

#SPJ11

Answer:

5

Step-by-step explanation:

7^2 = (2(6)^1/2)^2 + BC^2 (Pyth. theorem)

BC = 5

Answer:

its supposed to be 6.08 but we can take of..08 so 6

Step-by-step explanation:

\(a + b = c \\ ( 2 \sqrt{6} ) {}^{2} + {b}^{2} = {7}^{2} \\ 2 \times 6 + {b}^{2} = 49 \\ {b}^{2} = 49 - 12 \\ {b }^{2} = 37 \\ \sqrt{b} {}^{2} = \sqrt{37} \\ b = 6.08 \: or \: 6\)

Based on the provided information regarding measurement, the way 3 in Kali's number compares to the 3 in Lauren's number is that Kali's digit is in the ones place and Lauren's digit is in the hundreds place.

Measurement refers to the process of comparing an unknown quantity with a standard of the same quantity. It quantifies the characteristics of an object or event, which we can compare with other things or events. It is the most commonly used term when dealing with the division of a quantity. When considering measurement, the value before decimals reads as ones, tens, hundreds etc. As Kali measures a countertop in the classroom that is 5,743 mm long or 5,743.0 mm the 3 just before the decimal is one place. As Lauren finds that the distance on a map between New York City and Washington D.C. is drawn as 364.1 mm, the 3 is hundreds place. Therefore, Kali's digit is 1/100 of the value.

Learn more about Measurement:

https://brainly.com/question/777464

#SPJ4

Answer:

$0.75

Step-by-step explanation:

Consider any one of the values given in the table.

Cost of 5 tickets = $3.75

So, cost of 1 ticket

= $3.75/5

= $0.75

Verification:

Verify the answer by other values.

Cost of 10 tickets = $7.50

So, cost of 1 ticket

= $7.50/10

= $0.75

Cost of 15 tickets = $11.25

So, cost of 1 ticket

= $11.25/15

= $0.75

Cost of 20 tickets = $15.00

So, cost of 1 ticket

= $15.00/20

= $0.75

The cost of 1 ticket is same in all cases.

Hence, verified.

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Hey there!

Convert the fraction to decimals.

-3/5 = -0.6

-0.6 < -0.4

Hence, -3/5 is not equal to -0.4.

Answer = NO

Hope it helps ya!

Answer:

it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3

The correct symbol used for a column alias containing spaces is C. " " (quotation marks).

In SQL, when we want to assign a column alias containing spaces, we enclose the alias within double quotation marks. This is done to differentiate the alias from other SQL keywords or to handle cases where the alias includes special characters, spaces, or is case-sensitive.

For example, consider the following SQL query:

SELECT column_name AS "Column Alias"

FROM table_name;

In this query, we are selecting a column named "column_name" from the table "table_name" and assigning it the alias "Column Alias" containing spaces. By enclosing the alias within double quotation marks, we indicate to the database that it should treat the entire string as a single identifier or alias.

Using other symbols such as '', ||, or // will not achieve the desired result of creating an alias with spaces. These symbols have different meanings in SQL.

'' (two single quotation marks) typically represents an empty string or a string literal in SQL.

|| (double vertical bars) is the concatenation operator in some SQL dialects, used to combine strings or values.

// (double forward slashes) is commonly used for comments in various programming languages and does not have any special meaning for column aliases in SQL.

Therefore, the correct symbol to use for a column alias containing spaces is C. " " (quotation marks).

For more such question on  column alias visit;

https://brainly.com/question/30175165

#SPJ8

Answer:

22.39

Step-by-step explanation:

angle D + angle F + angle E = 180 (angle of triangle)

30 +60 + E = 180

E = 180 - 90

E = 90

so triangle DEF is right angled triangle

we know that,

sin 30 = EF /DF

OR, 1/2 = 6/ DF

OR, DF= 12

again,

cos 30 = De/DF

root3 /2 = DE /12

DE= 10.39

hence DF +DE

= 12 + 10.39

= 22. 39

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

The value of f(2) is 12.

x in terms of m, M, g, and h is x = y^2 / (mgh). M is an additional variable introduced, which was not mentioned in the initial problem statement.

To solve the given equations for x in terms of m, g, and h, we will solve each equation step-by-step:

Equation 1: 6x = 9y + 5y^2 = mgh

Step 1: Rearrange the equation to isolate x:

6x = mgh - 9y - 5y^2

Step 2: Divide both sides by 6:

x = (mgh - 9y - 5y^2) / 6

Therefore, x in terms of m, g, and h is:

x = (mgh - 9y - 5y^2) / 6

Equation 2: mx = (m + M)y^2 / (m + M)gh

Step 1: Simplify the equation by canceling out (m + M) on both sides:

mx = y^2 / gh

Step 2: Divide both sides by m:

x = y^2 / (mgh)

Therefore, x in terms of m, M, g, and h is:

x = y^2 / (mgh)

Please note that in Equation 2, M is an additional variable introduced, which was not mentioned in the initial problem statement. If you have any specific values for M or any further information, please provide it, and I can adjust the solution accordingly.

Learn more about variable here

https://brainly.com/question/28248724

#SPJ11

Answer:

The answer is 44

Step-by-step explanation:

How you find your answer is you add up all of the numbers IN ORDER( you get 352) then you divide by how many numbers are it the parentheses and you get 44 as your answer.

The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

Learn more about parallelogram  :

https://brainly.com/question/29147156

#SPJ4

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Basically, we are given the diagonal of the square to be 13.5 feet. We need to find the side length of the square.

The formula that relates diagonal and side length of a square is:

Where

d is the diagonal

s is the side length

We substitute and find our answer:

The side length is about 9.5 feet

Answer choice B

Answer:

31.9

Step-by-step explanation:

15 + 3.6 + 18.6

Answer:

The number of weeks Abe has been working out is the independent variable in the equation.

Step-by-step explanation:

Since Abe's weight is given by the equation

y = 250 − 3x

Every increase or decrease in the value of x in the equation will invariably lead to a change in the value of y.

If for instance Abe works out 5 weeks, her weight would be:

y= 250- 3*5

y=250-15

y=235

If she works out 3 weeks, her weight would be

y=250-3*3

y=250-9

y=241

Hence y weight is dependent variable while x weeks worked out is the independent variable in the equation

The y-intercept represents a. the maximum weight allowed in a shipment.

Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.

What is a graph?

A graph is a diagram or the representation of variations between two or more variables with respect to each other.

A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.

What is y-intercept?

The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.

Let's solve the question:

It is given in the question that the graph is of  Amount of allowed weight remaining Vs the Number of boxes.

As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.

Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.

Hence the answer is a. the maximum weight allowed in a shipment.

Know more about "graphs" here: https://brainly.com/question/16608196

#SPJ4

Disclaimer: The given question is incomplete. The complete question is mentioned below:

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

a. the maximum weight allowed in a shipment.

b. the minimum weight of a single box of screws.

c. the minimum number of screws in a single box.

d. the maximum number of single boxes for a shipment.

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

Know more about vector field here;

https://brainly.com/question/102477

#SPJ11

Answer: 7

Step-by-step explanation:

\(Mean = \frac{Sum of terms}{Number of terms}\)

          = \(\frac{7+6+6+7+6+9+7+8}{8}\)

          = \(\frac{56}{8}\)

          = 7

Hope it helps and please mark as brainiest!

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

Learn more about Stoichiometry here

brainly.com/question/28780091

#SPJ11

Answer:

$5.61

Step-by-step explanation:

Divide 1.87 (sales tax Charged) By 22 (cost of meal) to get sales tax 0.085

66 x 0.085 =$ 5.61

Answer:

Step-by-step explanation:5.61

y is defined as a function of x implicitly by the given equation for all values of x that satisfy -6x² - 10 ≥ 0.

To find where y is defined as a function of x implicitly by the equation 1 - 6x² - y² = 11, we need to solve for y in terms of x.

Rearranging the equation, we have:

-6x² - y² = 10

Subtracting 10 from both sides, we get:

-6x² - y² - 10 = 0

Now, we can write y as a function of x implicitly:

y(x) = ±√(-6x² - 10)

Therefore, y is defined as a function of x implicitly by the given equation for all values of x that satisfy -6x² - 10 ≥ 0.

To know more about function refer here:

https://brainly.com/question/17882317#

#SPJ11

The expected number of rolls until all faces have appeared in some order in six consecutive rolls is 1 / [1 - (5/6)^6].

To find the probability that all faces have appeared in some order in six consecutive rolls of a 6-sided die, we can use the principle of inclusion-exclusion.

Let's calculate the probability of the complement event first, which is the probability that at least one face is missing from the sequence in six consecutive rolls.

In the first roll, there are 6 possibilities for the face that appears. In the second roll, there are 5 possibilities remaining, and so on. Therefore, the probability of missing a face in one roll is (5/6).

Since we want to find the probability of missing a face in six consecutive rolls, we multiply the probabilities together: (5/6)^6.

Now, to find the probability of all faces appearing in some order in six consecutive rolls, we can subtract the probability of the complement event from 1.

Probability = 1 - (5/6)^6.

For the expected number of rolls until such a sequence appears, we can use the concept of geometric distribution. The expected number of rolls for a geometric distribution is equal to 1 divided by the probability of success.

Learn more about consecutive rolls here :-

https://brainly.com/question/31815165

#SPJ11

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:135 degrees