Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver. True or false

Answer:

a. (x-5) meters

b. 390 m²

Step-by-step explanation:

A. We get the equation x²+x-30.

We need to find two factors of 30, which equals 1.
6 and -5 are factors of 30.
Now, we can see that (x-5) and (x+6) are the equations. (x+6) cannot be applied, so the answer is (x-5)

B. We can substitute x with 20, and when we plug it in, we get 390 meters.

The adjacent angles are ∠GFD and ∠JIF. The correct option is D.

The lines and angles are denied as when the two parallel lines are intersected by the transversal lines it forms different types of angles the angles are adjacent angles, supplementary angles, opposite angles, and alternate angles.

The adjacent angle is defined as the angle which is just side by side with another angle.

Here in the given image, the two adjacent angles are ∠GFD and ∠JIF. Because the angle ∠GFD is just in front of the angle ∠JIF.

Therefore, the correct option is D the adjacent angles will be ∠GFD and ∠JIF.

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Answer:

Customers are charged $0.003 per gallon of water used.

Step-by-step explanation:

In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.

Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.

The value of the equation a - 32 = 47 is a = 79.

The correct option is D.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

An equation,

a - 32 = 47.

To find the value of a:

We will use some mathematical operations.

Add 32 to both sides of the equation,

we get,

a - 32 + 32 = 47 + 32

a - 0 = 79

a = 79

Therefore, the value of a is 79.

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Answer:

Common Multiple for #6

Step-by-step explanation:

Not sure if that's what you meant but hope this helps

Answer:

Step-by-step explanation:

a) To find the probability that Mateo will die in his 60th year, we use the value of the probability distribution given in the problem statement: P(x=60) = 0.01051.

To calculate the expected cost to Big Rock Insurance if Mateo dies in his 60th year, we multiply the death benefit of $50,000 by the probability of death:

Expected cost = P(x=60) * $50,000 = 0.01051 * $50,000 = $525.50.

So the expected cost to Big Rock Insurance if Mateo dies in his 60th year is $525.50.

b) To find the probabilities that Mateo will die in years 61, 62, 63, and 64, we use the values of the probability distribution given in the problem statement: P(x=61) = 0.01477, P(x=62) = 0.01744, P(x=63) = 0.02035, and P(x=64) = 0.02227.

To calculate the expected cost to Big Rock Insurance if Mateo dies in each of these years, we multiply the death benefit of $50,000 by the corresponding probability of death:

Expected cost if Mateo dies in his 61st year = P(x=61) * $50,000 = 0.01477 * $50,000 = $738.50.

Expected cost if Mateo dies in his 62nd year = P(x=62) * $50,000 = 0.01744 * $50,000 = $872.00.

Expected cost if Mateo dies in his 63rd year = P(x=63) * $50,000 = 0.02035 * $50,000 = $1017.50.

Expected cost if Mateo dies in his 64th year = P(x=64) * $50,000 = 0.02227 * $50,000 = $1113.50.

So the expected costs to Big Rock Insurance if Mateo dies in his 61st, 62nd, 63rd, and 64th years are $738.50, $872.00, $1017.50, and $1113.50, respectively.

c) To calculate the total expected cost to Big Rock Insurance over the years 60 through 64, we add up the expected costs for each year:

Total expected cost = Expected cost in year 60 + Expected cost in year 61 + Expected cost in year 62 + Expected cost in year 63 + Expected cost in year 64

Total expected cost = $525.50 + $738.50 + $872.00 + $1017.50 + $1113.50

Total expected cost = $4267.00

So the total expected cost to Big Rock Insurance over the years 60 through 64 is $4267.00.

d) If Big Rock Insurance wants to make a profit of $700 above the expected total cost payout for Mateo's death, it would need to charge a premium equal to the expected cost plus the desired profit:

Premium = Total expected cost + Desired profit

Premium = $4267.00 + $700.00

Premium = $4967.00

So Big Rock Insurance should charge a premium of $4967.00 for the policy if it wants to make a profit of $700 above the expected total cost payout for Mateo's death.

The requried, Daniel could expect to find 18 red skittles in the big bag.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Assuming that the ratio of red skittles to the total number of skittles in the bag is the same for both the small bag and the big bag, we can use proportions to solve the problem.

The proportion of red skittles to the total number of skittles in the small bag is,

= 9/45

Simplifying this fraction by dividing both the numerator and denominator by 9, we get 1/5. This means that one-fifth of the skittles in the small bag is red.

To find out how many red skittles Daniel could expect in the big bag, we need to multiply the total number of skittles in the big bag by one-fifth,

= 90 * 1/5 = 18

Therefore, Daniel could expect to find 18 red skittles in the big bag.

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The correct diagnosis code to report a tibial closed fracture, a proximal end, of the left leg, the initial encounter is A.S82.191A.

Explanation:

Diagnosis codes are used to accurately report a patient's condition or injury. The code S82.191A specifically refers to a closed fracture of the proximal end of the tibia on the left leg, with this being the initial encounter for treatment.

The other options, S82.191B, S82.102A, and S82.102B do not accurately describe the condition or injury in question. S82.191B refers to a subsequent encounter for the same injury, while S82.102A and S82.102B refer to a closed fracture of the right leg's upper end of the tibia.

Therefore, the correct answer is A.S82.191A.

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Answer:

D) Several planets will be very small and difficult to represent.

According to the information it can be inferred that the heaviest dog is 20 ounces heavier than the lightest dog.

To calculate the difference in weight between the heaviest and lightest dogs we must identify the values of the lines according to the above, it can be inferred that the lightest dog is in the 0.5 pound position, while the heaviest dog is in the the 1.75 pound position.

To know the difference in ounces we must convert these values to ounces with the following information:

So, we must apply a rule of three as shown below:

Based on the above, the difference in ounces would be 20 ounces.

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Answer:

-1 9/10, -1.7, -1.5, -1 1/10

Step-by-step explanation:

The numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

A number system is defined as a system of writing to express numbers.

The given numbers are

-1.5, [tex]-1\frac{9}{10}[/tex], -1.7, [tex]-1\frac{1}{10}[/tex]

Now let us simplify each number or fraction

Convert mixed fractions to improper and find the decimal value.

[tex]-1\frac{9}{10}[/tex]=-81/10

[tex]-1\frac{9}{10}[/tex]=-8.1

[tex]-1\frac{1}{10}[/tex]=-9/10

[tex]-1\frac{1}{10}[/tex]=-0.9

So least to greatest is -8.1, -1.7, -1.5, -0.9

least to greatest is  [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

Hence, the numbers from least to greatest is   [tex]-1\frac{9}{10}[/tex], -1.7, -1.5,[tex]-1\frac{1}{10}[/tex]

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Part A. The calculated correlation coefficient is incorrect.

Part B. A causal relationship for strawberries picked on the farm is the relationship between rainfall and number of strawberries picked.

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.

Given,

Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated.

Observing the scatter-plot, the data is moderately correlated,  as the days increase, the number of strawberries also increase, following upward trend,

r = 0.01 means that 1% of the variation in y is explained by the variation in x.

that means both quantities are very weakly correlated.

but the scatter-plot shows otherwise, so r = 0.01 is not an accurate value for the data.

Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm.

A causal relationship exists when one variable in a data set has a direct influence on another variable. Thus, one event triggers the occurrence of another event. A causal relationship is also referred to as cause and effect.

Here, rainfall could be reasonable variable that can effect the number of strawberries picked. when there is heavy rainfall, strawberries picked will be less.

Thus, the scenario could be:

Amount of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

      50                                                      40

      25                                                      80

     12.5                                                    160

     6.25                                                   320

The amount of rainfall is a cause that affect the number of strawberries picked.

Hence,

The calculated correlation coefficient is false.

Another causal relationship for strawberries picked on the farm can be of rainfall in mm and number of strawberries picked on the farm.

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His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

A relationship among two expressions or concepts that is not equal in mathematics is referred by the term inequality. Hence, inequalities results from imbalance. In mathematics, an equality establishes the connection between two quel numbers. Egality and inequality aren't the same thing. Use the not equal symbol most frequently when two quantities are not equal (). Values of any size can also be contrasted using a variety of inequalities. By changing the two sides until only components are left, many straightforward disparities can be solved. All the same, a host of mechanisms support inequality: Both sides' lowest values are split or added. Switch the left and the right.

given

It costs $2.50 to ship a card.

Buying a package will cost you $6.50.

Suppose x is the number of packages

Moreover, if y represents the number of cards

The situation is described by a system of inequalities that is

At least 16 more cards than packages make up the total number of cards.

⇒y ≥ 2x +16

Reiko wants to keep his postal expenses to a maximum of $357.50.

⇒6.5x +2.5y ≤ 357.5

⇒13x +5y ≤ 715

His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

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Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.

Here,

Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:

Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:

Force exerted by hand H on box A (largest force)

Force exerted by hand H on box B

Force exerted by box A on hand H

Force exerted by box B on hand H

Force exerted by box A on box B (smallest force)

Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.

Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.

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Terminal point is a term used in mathematics to describe the endpoint of a line segment. It is the point at which the line or curve terminates or comes to an end. It is important to note that a terminal point is not necessarily the same as a vertex or an intersection point; the terminal point is simply the endpoint of the line segment, the point at which it begins and ends.

For example, the terminal points of a line segment that connects the points (3, 5) and (7, 9) are (3, 5) and (7, 9). The line segment does not terminate at any other point.

The reference number is 41, and the given formula is t = 6π.

Therefore, 6π = 41

π = 41/6

π ≈ 6.83

The terminal point is determined by the given formula (r cos θ, r sin θ).

Since r = 1, substitute the values for θ and r into the formula:

(1, cos 6.83, 1, sin 6.83) = (3.5, 2.5)

Therefore, the terminal point determined by the given reference number t = 41 is (3.5, 2.5).

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Answer:

A right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

Step-by-step explanation:

A right triangle is a type of triangle that has one angle which measures exactly 90 degrees, which we call the right angle. The other two angles are called acute angles and they are always less than 90 degrees.

A right triangle has a special property: the side opposite the right angle is called the hypotenuse. This is the longest side of the triangle and it is always opposite to the right angle. The other two sides are called legs.

One important thing to note is that the Pythagorean theorem only works for right triangles. This theorem tells us that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This formula is often written as a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

There are actually several different types of right triangles. For example, if the two legs have the same length, we call it an isosceles right triangle. If one of the acute angles measures exactly 45 degrees, we call it a 45-45-90 triangle, and if one of the acute angles measures exactly 30 degrees and the other measures 60 degrees, we call it a 30-60-90 triangle. These triangles have special properties that make them useful in many different areas of math and science.

In summary, a right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

Answer:

Where is the question??

Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Quadrilateral RSTV is dilated with the origin as the center of dilation using the rule (x, y) = (3/2x, 3/2y) to create quadrilateral R'S'T'V'.

Here, All the coordinates of vertex of Quadrilateral RSTV are,

R = (- 3, - 2)

S = (- 2, 3)

T = (2, 2)

V = (3, - 1)

Hence, By applying rule we get;

All the coordinates of vertex of Quadrilateral R'S'T'V' are,

R' = (- 3 × 3/2, - 2× 3/2) = (- 9/2. - 3)

S' = (- 2 × 3/2, 3 × 3/2) = (- 3, 9/2)

T' = (2 × 3/2, 2× 3/2) = (3, 3)

V' = (3 × 3/2, - 1 × 3/2) = ( 9/2. - 3/2)

Now, Distance between R and S;

RS = √ (- 3- (- 2))² + (- 2 - 3)²

     = √1 + 25

     = √26

And, Distance between R' and S';

R'S' = √ (- 3- (- 9/2))² + (- 3 - 9/2)²

     = √(3/2)² + (15/2)²

     = √9/4 + 225/4

    = √234/4

Hence, The scale factor is,

⇒ RS / R'S' = √26 / (√234/4)

                  = 2√26/ √234

                  = 2/3

                  = 0.67 < 1

Thus, Quadrilateral R'S'T'V' is smaller than Quadrilateral RSTV because a scale factor is less then 1.

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Therefore, the equation for the line tangent to the curve when x = 4 is y = (7/4) x + 7.

An equation is a mathematical statement that shows the equality between two expressions. Equations are used to solve problems and find solutions to mathematical or real-world problems. They typically involve variables, which are symbols that represent unknown values, and constants, which are known values that are used in the equation. Equations can take many forms, but they generally follow the pattern: expression = expression. Equations are an important tool in mathematics, science, and engineering, and they can be used to model and analyze many different types of systems and processes.

Here,

a. To find the equation for the secant line through the points where x has the given values, we need to find the slope of the line passing through the two points. The two points we need to consider are (4, 14) and (9, 21):

slope = (change in y) / (change in x)

= (21 - 14) / (9 - 4)

= 7 / 5

Now we can use the point-slope form of a line to find the equation of the secant line passing through these two points:

y - 14 = (7/5) (x - 4)

Simplifying this equation, we get:

y = (7/5) x + 6.6

Therefore, the equation for the secant line passing through the points where x has the given values is y = (7/5) x + 6.6.

b. To find the equation for the line tangent to the curve when x has the first value, we need to find the derivative of the function y = 7sqrt(x) with respect to x:

y' = (7/2) x*(-1/2)

Evaluating this derivative at x = 4, we get:

y'(4) = (7/2) (4*(-1/2)) = 7/4

This is the slope of the tangent line at x = 4. We can use the point-slope form of a line to find the equation of the tangent line at this point:

y - 14 = (7/4) (x - 4)

Simplifying this equation, we get:

y = (7/4) x + 7

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Answer:

The Equation is (300-36)÷6.

Step-by-step explanation:

$300-$36=$264 (The budget after paying the set up fee)

$264/6=44 months. That's how many months she can rent.

So the equation would be (300-36)÷6.

All the given relations represent the functions.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

For a given relation to be a function, for one value of {x}, there should be only one unique value of {y}. From the given tables and functions, it can be seen that for the given values of {x}, there exist a unique value of {y}. All the given relations represent the functions.

Therefore, all the given relations represent the functions.

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A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.

In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.

In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.

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The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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Answer:

102

Step-by-step explanation:

Angles in a quadrilateral is 360

120+85+53=258

360-258=102

Hope this helps!

The distance from Philadelphia to Outer Banks is given by A = 10.294 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance on the map be represented as

1 inch = 50 miles

So , the distance between Philadelphia to Outer Banks is = ( 7 / 34 ) inches

And , the distance between Philadelphia to Outer Banks = ( 7/34 ) x 50 miles

On simplifying the equation , we get

The distance between Philadelphia to Outer Banks A = 0.20588 x 50

The distance between Philadelphia to Outer Banks A = 10.294 miles

Hence , the distance is 10.294 miles

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Answer:

15.4 is the answer

Stepson

Answer:

Step-by-step explanation:

[tex]\mathrm{10+2x-3x=-\left(x+2\right)}[/tex]

*2x-3x=-x*

[tex]\mathrm{10-x=-\left(x+2\right)}[/tex]

Expand:-

[tex]\mathrm{10-x=-x-2}[/tex]

Cancel the x from both sides:-

[tex]\mathrm{10=-2}[/tex]

and since 10=-2 is false, there is no solution.

__________________

Hope this helps!