A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible. What is his total annual premium?​

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice.

Then the number of grains of rice would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be

⇒ [(6 x 2 x 12) / (2 x 2 x 2)] x 468

⇒ (144 / 8) x 468

⇒ 18 x 468

⇒ 8424 grains

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

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Answer:   Slope = -1.000/2.000 = -0.500

 x-intercept = 0/1 = 0.00000

 y-intercept = 0/2 = 0.00000

Step-by-step explanation:

Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

Answer:

No

Absolute Value is the Distance From Zero, and distance is always NON-negative.

Step-by-step explanation:

Answer: No

Step-by-step explanation:  │ – 4│= 4 because it is four spaces away from zero  <---,----,----,--->

             -4   0    4

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

The product of -2³ + x - 5 and x³ -3x +4 is -5x³ + 16x - 28.

The given expression is:

-2³ + x - 5 x (x³ -3x +4)

We need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify -2³, which means -2 x 2 x 2 = -8, so we have:

-8 + x - 5 x (x³ -3x +4)

Next, we need to distribute the -5 to the terms inside the parentheses:

-8 + x - 5x³ + 15x - 20

Now we can combine like terms:

-5x³ + 16x - 28

Therefore, the product of -2³ + x - 5 and x³ -3x +4 is -5x³ + 16x - 28.

Now, to answer the second part of the question, we need to check if:

-2³ + x - 5 x (x³ -3x +4) = (x³ -3x +4) * (-2³ + x - 5)

We can simplify both expressions first:

-8 + x - 5x³ + 15x - 20 = -8 + x - 5x³ + 15x - 20

We can see that both expressions are identical, which means that the product of -2³ + x - 5 and x³ -3x +4 is equal to the product of x³ -3x +4 and -2³ + x - 5, regardless of the order in which we multiply the factors.

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Answer:

in 2 there are 10 fifths 10 fifths + 1 fifth = 11 fifths.

Answer:

A- 11

Step-by-step explanation:

Number = 2 1/5 = 11 / 5

Fifths = 1/5

Answer = 11/5 ÷ 1/5 = 11/5 x 5/1 =11

I hope im right!!

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.

The missing number is 14, all the circles equal to 30, therefore add 11 + 5 = 16

30-16 = 14

\( {\bf \red {\huge{answer : }}}\)

The money increased from 600 pounds to 621 pounds.

621 - 600 = 21

so , the money increased more 21 pounds.

\( \pink {\sf{hence , \frac{21}{621} \times 100 }}\)

\( \red{= \frac{21}{\cancel{621}} \times \cancel{100 } }\)

\( \red{= \frac{21}{\cancel{6.21}} \times \cancel{1 } }\)

\( \red{= \frac{\cancel{21}}{\cancel{6.21}} }\)

\( \red{= \frac{3 \frac{79}{207} }{1} }\)

\( \red{= 3 \frac{79}{207} }\)

Therefore , the dog's weight increased by 3 79/207%

The mean absolute deviation of the data: 45, 48, 50, 42, and 40 comes out to be 3.2

The mean of the number is defined as the average of the numbers that is the sum of the number to the total number of numbers

= 45 + 48 + 50 + 42 + 40 / 5

= 225 / 5

= 45

The mean absolute deviation is defined as the measure of how much the values in the data set are different from the mean of the data.

MAD = \(\frac{1}{n}\) * ∑ | x - mean |

where n is the number of data

x is the individual data

MAD = 1/5 * (|45-45| + |48-45| + |50-45| + |42-45| + |40-45|)

= 0.2 * (0 + 3 + 5 + 3 + 5)

= 0.2 * 16

= 3.2

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The period of the sinusoidal equation of the graph is 4 months.

The amplitude of the sinusoidal equation of the graph is 84 degrees Celsius.

The period and amplitude are two important characteristics of a wave.

Period: The period of a wave is the time it takes for one complete cycle of the wave to occur. The period of a wave determines its frequency, which is defined as the reciprocal of the period.

Amplitude: The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. In simpler terms, it represents the height or strength of the wave.

In then given graph, the period of the wave = 1 complete cycle in 4 months = 4 months/cycle = 4 months

Amplitude = 84 degrees Celsius.

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Answer:

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

The shape that represents the sample mean of the 81 students who are selected is; Approximately normal

When a distribution of data is defined as skewed, it means that it does not take the normal distribution's bell shape. Rather, it tends to distort with values either to the left or right of the center of the data.

Now, the Central Limit Theorem states specifically that the distribution of sample mean is normally distributed. It goes further to state that if the population values from which the sample originates is not normally distributed, the sample distribution will be normal. This effect will lead to  increases as sample size increases.

Thus, we can conclude that the shape is normally distributed

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Complete question is;

Suppose the mean GPA of School A students is 3.5 and the standard deviation is 0.7 it is well known that this distribution is left-skewed. A random sample of n = 81 students will be drawn. What is the shape of the sampling distribution of the random variable ¯X.  which represents the sample mean of the 81 students who are selected.?

- Left- skewed

- right-skewed

- approximately normal

- we cannot determine this from the information given.

Answer:

neither

Step-by-step explanation:

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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The length of side x in simplest radical form with a rational denominator is 2√38.

To find the length of side x in simplest radical form with a rational denominator, we can use trigonometric ratios. Here, we are given two angles and the hypotenuse of a right triangle. We need to find the length of one of the sides. Let's use the angle 30°.

First, we need to identify which trigonometric ratio involves the angle 30°. In this case, we will use the sine ratio:

sin(30°) = opposite / hypotenuse

We know the hypotenuse is √760, but we don't know the length of the opposite side. We can rearrange the equation to solve for the opposite side:

opposite = sin(30°) x √760

Now, we need to simplify this expression by rationalizing the denominator. To do this, we can multiply the numerator and denominator by √10:

opposite = sin(30°) x √760 x √10 / √10

opposite = sin(30°) x √7600 / 10

opposite = (1/2) x √7600 / 10

opposite = √1900 / 5

Now we know the length of the opposite side. We can use the same process to find the length of the adjacent side using the cosine ratio:

cos(30°) = adjacent / hypotenuse

adjacent = cos(30°) x √760

adjacent = cos(30°) x √760 x √10 / √10

adjacent = cos(30°) x √7600 / 10

adjacent = (√3/2) x √7600 / 10

adjacent = √5700 / 5

Now that we know the length of the opposite and adjacent sides, we can use the Pythagorean theorem to find the length of the missing side:

x^2 = (opposite)^2 + (adjacent)^2

x^2 = (√1900 / 5)^2 + (√5700 / 5)^2 \

x^2 = 1900/25 + 5700/25

x^2 = 760/5

x = √(760/5)

x = √(152)

x = 2√38

Therefore, the length of side x in simplest radical form with a rational denominator is 2√38.

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Answer:

The ratios are not equal, so this is not a dilation.

Step-by-step explanation:

4/3 is the first ratio

3/4 is the second ratio

Since these ratios are not equal there is not a dilation.

he may  have disappeared but he is probably alive

The answer is C. triangles B and C are similar.

Similar triangles only differs between them by the size. All angles must be the same and all sides must be multiplied by the same factor of scale to transform from one triangle from another.

the only 2 triangles that share the same angle values are B and C. thus, the answer is option C

Answer:

Step-by-step explanation:

2. ∠K≅∠L and ∠M≅∠N

3. Definition of similar triangles

4. ΔJKL ≈ ΔJMN

5. Addition Property

₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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Answer:

The shadow is 3/4 of the actual height.

24 foot shadow = 4/3 * 24 = 32 feet

Answer is a

Step-by-step explanation:

The statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (a, -b) "

"The graph of the function is said to be symmetric about Y-axis if whenever (a, b) is on the graph then so is (-a, b) "

"The graph of the function is said to be symmetric about X-axis if whenever (a, b) is on the graph then so is (-a, -b) "

For given question,

The parent cubic function is \(f(x)=x^3\)

The graph of the function  \(f(x)=x^3\) is as shown below.

From graph we can observe that, point (x, y) as well as (-x, -y) is on the graph.

This means, the graph of  the function  \(f(x)=x^3\) is symmetric about the origin.

Therefore, the statement that correctly describes  the symmetry of the cubic parent function is 'It is symmetric about the origin.'

The correct answer is option (c)

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