Estimate the area of the figure. Each square represents 1 square foot.

The resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

According to the given information, the current in an electrical conductor varies inversely to the resistance of the conductor. Inverse variation can be represented mathematically as follows:

Current * Resistance = Constant

Let's denote the constant as 'k'. We can use the initial values to find the value of 'k'.

When the resistance is 240 ohms and the current is 12 amperes:

12 * 240 = k

k = 2880

Now that we have the value of 'k', we can use it to find the current when the resistance is 540 ohms:

Current * 540 = 2880

Current = 2880 / 540

Current ≈ 5.33 amperes

Therefore, when the resistance is 540 ohms, the current in the conductor is approximately 5.33 amperes.

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Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

Answer

5k dollars

Step-by-step explanation:

Answer:

The answer is C: 96cm2

Step-by-step explanation:

Formula of a triangle is half of the base times height. 16 times 12 is 192 divided by 2 is 96.

We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

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Answer:

where is your diagram?

Step-by-step explanation:

The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data

1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.

2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.

3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.

4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.

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Answer:

Below

Step-by-step explanation:

Angle 4 + 60 + 61 = straight line = 180 °

angle 4 = 180 - 60 - 61 = 59°

First we need to find r

in this case

x=0

y=-3

Because the x-coordinate is 0 and the y-coordinate is negative the angle is 270°=3/2pi

ANSWER

Answer: 15 weeks

Ringo has $100 in the bank and is adding $50 each week

Total savings for Ringo = s

s = 100 + 50 x number of weeks

Let the number of weeks = w

s = 100 + 50w ---------- equation 1

George has $250 in the bank and is adding $40 each week

s = 250 + 40 * w

s = 250 + 40w --------------- equation 2

To calculate the number of weeks that will make their savings equal, we need to equate equation 1 and 2

100 + 50w = 250 + 40w

Collect the like terms

100 - 250 = 40w - 50w

-150 = -10w

-10w = -150

Divide both sides by -10

-10w/-10 = -150/-10

w = 15 weeks

Therefore, it will take 15 weeks for their savings to be equal

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Answer:

  h > 5

  h < 0

Step-by-step explanation:

We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.

As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...

  17 < 3h +2   or   3h +2 < 2

Subtracting 2 from the inequality gives ...

  15 < 3h < 0

Dividing by 3 gives ...

  5 < h < 0

There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...

  h > 5

  h < 0

Answer: 46

Step-by-step explanation:

10 (3 +1) + 6

30 + 10 + 6

46

Answer:

68 units sq

Step-by-step explanation:

You have to find the total area of all the shapes and subtract the unshaded.

(9 + 17) * 8 / 2, formula

26 * 4 = 104

Then find the unshaded part

9 * 8 / 2

9 * 4

= 36

104 - 36 = 68

Answer:

68

Step-by-step explanation:

The formula of a trapezoid is \(A = \frac{a+b}{2} h\)
Use the values given in the equation:
\(A = \frac{17+9}{2} *8\)
A = 13*8

A=104 (This the area of the overal trapezoid)

To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36

Then subtract 36 from 104 and you get 68

Answer:

don't know what to help you with you are smart enough to know

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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The distance from (1, 1, 1) to (2, 3, 4) by finding the length of this vector is given by \(\sqrt{14}\).

The definition of a vector is an entity with both magnitude and direction. The movement of an item between two points is described by a vector. The directed line segment can be used to geometrically represent vector maths.

The magnitude of a vector is the length of the directed line segment, and the vector's direction is indicated by the angle at which it is inclined. A vector's "Tail" and "Head" points are the beginning and finishing points, respectively.

A mathematical structure is referred to as a vector. It has a wide range of uses in physics and geometry. We understand that the coordinates of the points on the coordinate plane can be expressed using an ordered pair, such as (x, y).

If we have two general points P1(x1, y1, z1) and P2(x2, y2, z2) , then the vector P1P2 will be given by -

P1P2= (x1-x2, y1-y2, z1-z2)

Here we have the points P1 (1,1,1) and P2 (2,3,4) -

So the vector  P1P2 = (1-2, 1-3, 1-4)

P1P2 = (-1,-2,-3)

Other vector will be in direction opposite to this which is (1,2,3).

Now the length of this vector will be given by -

\(\begin{vmatrix} P1P2 \end{vmatrix}=\sqrt{(x1-x2)^{2}+(y1-y2)^{2}+(z1-z2)^{2}}\)

\(\begin{vmatrix} P1P2 \end{vmatrix}=\sqrt{(1-2)^{2}+(1-3)^{2}+(1-4)^{2}}\)

\(\begin{vmatrix} P1P2 \end{vmatrix}=\sqrt{(-1)^{2}+(-2)^{2}+(-3)^{2}}\)

\(\begin{vmatrix} P1P2 \end{vmatrix}=\sqrt{1+4+9}\)

\(\begin{vmatrix} P1P2 \end{vmatrix}=\sqrt{14}\)

The distance between the two points is \(\sqrt{14}\).

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The new graph after the given transformations would have an equation; y = -f (x + 2).

It follows from the task content that the pre-image graph; y = f (x) is to be translated 2 units to the left and afterwards reflected across the X axis.

First, when a function, f (x) is translated k units to the left, the resulting function is; f (x + k).

Hence, when the graph is translated w units to the left, the resulting function is; y = f (x + 2).

Additionally, when a function, f (x) is reflected across the x-axis, the resulting function is; -f (x).

Ultimately, the resulting graph upon reflection over the x-axis is; y = -f (x + 2).

Complete question: The graph is reflected over the x-axis.

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Answer:

7 rectangular and 6 round

Step-by-step explanation:

that would use up 8 tables that you can afford however that would only be the answer if you don't need to use exactly 10 tables

The statement -7 < y < 12 meant y is greater than -7 and less than 12.

{-7 < y < 12}

This is a compound inequality.

A compound inequality is a type of inequality which combones two or more simple inequality.

-7 < y < 12

This can be broken down into two parts;

This can also be written together as y is greater than -7 and less than 12.

This means y is between the values that are greater than -7 but less than 12

So,

y could be -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Therefore, y can be said to be within the range of values between -6 and 11

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Answer:

no no es un numero natura,los numeros naturales son los que estan completos como el 1 el 2 el 3 y mas numeros los que son menos o con punto decimal no lo son

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The standard deviation of the mileage for the sample of convertibles is 1.98977 miles.

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

In order to determine the standard deviation, take the following steps:

(25 + 25 + 24 + 21 + 21 + 21 + 20) / 7 =22.43

(25 - 22.43)² = 6.6049

(25 - 22.43)² = 6.6049

(24 - 22.43)² = 2.4649

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(20 - 22.43)² = 5.9049

Sum of squared difference = 27.7143

√27.7143 / 7 = 1.98977

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Answer:

We want to create sentences that are false (this means that the truth value is F

False ---> true: then the statement is false

true-----> false: then the statement is false.

For the first option we have:

"If the GCD of 5 and 12 is 1,____"

the left side is true, so the right side must be false:

"If the GCD of 5 and 12 is 1, then 12 is less than 5"

this means that the truth value is false, because the left side is true and the right side false.

For the second sentence we have:

The sum of 5 and 12 is 7 if and only if _______

The left side is false, so the right side must be true, the only true option is 12 is greater than 5, so the sentence is:

"The sum of 5 and 12 is 7 if and only if 12 is greater than 5."

Answer:

All you have to do is write how you feel about this it's simple :|

Step-by-step explanation:

Answer:

Assuming "she" in the question is a typo and it should be "if", here's the solution:

If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:

P = 567 * (1 - 0.015)^20

where P is the population after 20 years.

Simplifying this expression, we get:

P = 567 * 0.742 = 420.414

Rounding this to the nearest whole number, we get:

P ≈ 420

Therefore, after 20 years, the population of the small town would be approximately 420.

The total out-of-pocket expense for one month is $677. The correct option is D.

The first step is to calculate the amount of the prescription costs that will be covered by the insurance plan.

Since the family will fill 6 prescriptions per month and the total cost is $850, the average cost per prescription is $850/6 = $141.67 per prescription.

The insurance plan covers 90% of the first $450 in prescription costs, which is $450 * 0.9 = $405.

The remaining $141.67 - $405 = -$263.33 of the first prescription is not covered, since it is below the $450 threshold. This means that the family will have to pay the full cost of the first prescription, and the insurance will not contribute anything to it.

For the remaining 5 prescriptions, the insurance will cover 80% of the cost, since they are over the $450 threshold. The remaining 20% will be the family's responsibility.

The cost of the remaining 5 prescriptions is $141.67 x 5 = $708.35.

The insurance will cover 80% of this amount, which is $708.35 x 0.8 = $566.68.

The family will be responsible for the remaining 20% of the cost, which is $708.35 x 0.2 = $141.67.

Adding up all the costs, the total out-of-pocket expense for one month is:

$405 (first prescription) + $141.67 (20% of remaining prescription costs) + $48 (monthly premium) = $594.67

Therefore, the correct answer is option D: $677.

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