Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

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Answer

B

Step-by-step explanation:

SÓLO SUSTITUYES x POR 3

F(3) = 5(3) -9 = 6

Check the picture below.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill\)

\(\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}\)

The values of x and y on the line are 22 and 152

The complete question is added as an attachment

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

The parallel lines and the transversal

Given that the line a and b are parallel line, we have the following equation:

6x + 8 = y - 12

6x + 8 = 7x - 14

So, we have

7x - 6x = 14 + 8

Evaluate

x = 22

Recall that

6x + 8 = y - 12

So, we have

6(22) + 8 = y - 12

This gives

y = 6(22) + 8 + 12

Evaluate

y = 152

Hence, the value of x is 22

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The  steps taken to design a contingency contract are valuating the potential outcomes, consequences and agree on terms of contract.

Identify the potential outcomes. Party A thinks that there is an 80% chance that the car will not break down in the first year, while Party B thinks that there is an 80% chance that it will. These are the two potential outcomes that need to be identified.

Determine the consequences of each outcome. Next, the consequences of each outcome should be determined. For example, if the car breaks down in the first year, then Party A may have to pay for repairs or reimburse Party B for the purchase price of the car. If the car does not break down, then no consequences need to be determined.

Agree on the terms of the contract. Finally, both parties need to agree on the terms of the contract. This may include how much Party A will have to pay if the car breaks down, how long Party B has to wait for reimbursement if the car does break down, and any other terms that are relevant to the situation. Once the terms have been agreed upon, the contingency contract can be signed by both parties, and they can proceed with the sale of the car.

A contingency contract could be designed to help them avoid an impasse over the issue of the car's breakdown. The contingency contract is a contract that is triggered by a specific event or circumstance, such as the car breaking down in the first year. This contract outlines what will happen if the event or circumstance occurs, and both parties agree to the terms in advance.

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Answer:

\(\boxed{-i}\)

Step-by-step explanation:

\(-i^5\)

Use identity : \(i^5 =i\)

\(-(i)\)

(a) True. The parameters in a linear probability model can be interpreted as measuring the change in the probability that y = 1 due to a one-unit increase in an explanatory variable.

In a linear probability model, the dependent variable (y) takes on binary values, typically 0 or 1, representing two possible outcomes.

The linear probability model assumes a linear relationship between the explanatory variables and the probability of the dependent variable being equal to 1.

The parameters in the linear probability model represent the effects of the explanatory variables on the probability of y being equal to 1.

Specifically, the coefficient associated with an explanatory variable can be interpreted as the change in the probability that y = 1 for a one-unit increase in that variable, holding other variables constant.

For example, if we have a linear probability model with an explanatory variable X and the corresponding coefficient is β, then a one-unit increase in X would lead to a β increase in the probability that y = 1, all else being equal.

However, it's important to note that the linear probability model has certain limitations.

Since probabilities are bounded between 0 and 1, the predicted probabilities from the model may exceed this range.

Additionally, the model assumes constant effects across all levels of the explanatory variables, which may not always hold true in practice.

Despite these limitations, the interpretation of the parameters in a linear probability model as the change in the probability of y = 1 due to a one-unit increase in an explanatory variable is generally valid.

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Answer:

4

Step-by-step explanation:

d=2

\( \sqrt{ - 6 + 11(2)} \)

-6+22

16 square rooted

4

Answer:

Step-by-step explanation:

From science fiction to science fact, there is a concept that suggests that there could be other universes besides our own, where all the choices you made in this life played out in alternate realities. The concept is known as a "parallel universe," and is a facet of the astronomical theory of the multiverse.

Answer:

7

Step-by-step explanation:

We want to evaluate the fraction below for x = 3. We will put the value of x to be 3:

\(\dfrac{7^2}{x^2-2}\\\\= \dfrac{7^2}{3^2-2}\\\\= \dfrac{49}{9-2}\\\\= \dfrac{49}{7} = 7\)

The answer is 7.

Answer:

Step-by-step explanation:

goodluck khan academy users

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 7 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 6, - 9 ) into the partial equation

- 9 = - 18 + c ⇒ c = - 9 + 18 = 9

y = 3x + 9 ← equation of parallel line

Answer:

a

Step-by-step explanation:

I go it right on my test

;)

The work required to raise the bucket and the grain to the top is 220 J.

The work required to raise the bucket and the grain to the top can be calculated using the formula given below:

Work = (Total weight of the bucket and grain lifted) × (Height to which it is lifted)

Since the bucket weighs 2 kg, and there is 12 kg of grain left when the bucket is lifted to a height of 10 m, the total weight of the bucket and grain is (2 + 12) kg = 14 kg.

To raise the bucket and grain to a height of 20 m, the height through which it is lifted is

= 20 m - 10 m

= 10 m.

Thus, the work required to raise the bucket and the grain to the top is given by:

Work = (Total weight of the bucket and grain lifted) × (Height to which it is lifted)

Work = (14 kg) × (10 m)

Work = 140 J

Therefore, the work required to raise the bucket and the grain to the top is 220 J.

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Answer:

(x-3)^2+(y+4)^2=9

Step-by-step explanation:

The equation of a circle with center at (h,k) and radius r units is found using:

(x-h)^2+(y-k)^2=r^2

The given circle is centered at the (3,-4) and has radius 3 units,The equation of this circle is obtained by substituting the given values.

This gives us:

(x-3)^2+(y-(-4))^2=3^2

We simplify to get:

(x-3)^2+(y+4)^2=9

The format of a circle's equation is:

\(\mapsto\phantom{333}\bf{(x-h)^2+(y-k)^2=r^2}\)

where (h, k) is the circle's center, and r is the radius.

Sticking in the data, we get:

\(\mapsto\phantom{333}\bf{(x-3)^2+(y-(-4)^2=3^2}\)

Simplify:

\(\mapsto\phantom{333}\bf{(x-3)^2+(y+4)^2=9}\)

Hence, this is the circle's equation.

The total cost to the nearest cent = 2675 cents.

Given that:

The cost of backpack = $25

Tax = 7%

To calculate the total cost, we can also approach the problem in two ways:

1). Multiply the amount by 7% ($25 x 0.07 = $1.75, rounded up to the nearest cent at 175 cents or $1.75). This will tell us how much tax we will have to pay. Add this to the cost to get the total amount one has to pay (25 + 1.75 = $26.75 or 2675 cents).

2). Multiply the amount by 107%. This includes both steps from 1 in one step. ($25 x 1.07 = $26.75; $26.75 rounded to dollars).

We know that,

1 dollar ($) = 100 cents

Multiply both sides by 26.75

$ 26.75 = 2675 cents.

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Answer:

188.7

Step-by-step explanation:

Answer:

1258/3

Step-by-step explanation:

find the value of n first

\( \frac{45}{100} n = 255 \\ n = \frac{1700}{3} \)

then let the new value that we wanna find is x

\(x = \frac{74}{100} n \\ = \frac{74}{100} \times \frac{1700}{3} \\ = \frac{1258}{3} \)

done

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

the axis of symmetry is X = 1

Step-by-step explanation:

make sure to ask if you need any further guidance.

Answer:

36

Step-by-step explanation:

Triangle BCD:

base = 15

height = BC = ?

area = 60

Solve for height.

area = base × height / 2

base × height = 2 × area

height = 2 × area / base

height = 2 × 60 / 15 = 8

height = BC = 8

Triangle BAD:

base = 9

height = BC = 8

area = base × height / 2

area = 9 × 8 / 2 = 36

Answer: 36

The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Step-by-step explanation:

3×5×2 = 30 lorry trips to deliver 2,500 crates.

3 lorries, 5 trips per day, 2 days

that means that one lorry trip transports

2,500 / 30 = 250/3 = 83.33333... crates = 83 1/3 crates.

now we need x lorries each making 6 trips per day in 1 day (so, 6 trips, period) to transport 10,000 crates.

that looks like

x × 6 × 83.33333... = 10,000

x × 6 × 83 1/3 = 10,000

x × (6×83 + 6 × 1/3) = 10,000

x × (498 + 2) = 10,000

500x = 10,000

x = 20

so, we need 20 lorries each doing 6 trips in one day to transport 10,000 crates in one day.

these are altogether 20×6 = 120 lorry trips.

that is 4 times the number of the original scenario (30 trips).

and logically, when doing 4 times the work, we achieve 4 times the result (10,000 crates instead of 2,500).

Answer:

I think if you look up the equation on google there is a calculator and you may get some of your answers there

Step-by-step explanation:

Answer:

whats the answer

Step-by-step explanation:

Answer:

-6^2

Step-by-step explanation:

-6 x -6 = 36

Answer:

(−6)²

Step-by-step explanation:

(−6)⋅(−6)

This means the numbers are being multiplied.

A number is being multiplied by the same number. You can write an exponent for the number of times it's being multiplied by itself.

Example:

x = x¹

x·x = x²

x·x·x = x³

You are multiplying (−6) twice.

(−6)⋅(−6) = (−6)²

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

Given:

Amanda sold 13 rolls of plain wrapping paper and 12 rolls of holiday wrapping paper for a total of $208.

And,

Mofor sold 4 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $55.

Let, x be the cost of one roll of plain wrapping paper and y be the cost of one roll of holiday wrapping paper.

The equations are,

Solve the equations,

Put the value of y in equation (2),

Answer:

The cost of one roll of plain wrapping paper is x = $4.

The cost of one roll of holiday wrapping paper is y = $13.

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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the general solution in power series form is given by: \(y(x)=a 0​ ∑ n=0∞​ (2x) n\) \(where �0a 0​ is an arbitrary constant.\)

To find a power series expansion about \(\(x = 0\)\) for a general solution to the differential equation \(\(y' - 2xy = 0\),\) we can assume a power series solution of the form:

\(\[y(x) = \sum_{n=0}^{\infty} a_nx^n\]\)

where \(\(a_n\)\) are the coefficients to be determined.

First, let's differentiate \(\(y(x)\)\)with respect to \(\(x\)\):

\(\[y'(x) = \sum_{n=0}^{\infty} na_nx^{n-1}\]\)

Now, substitute \(\(y(x)\) and \(y'(x)\)\) into the differential equation:

\(\[\sum_{n=0}^{\infty} na_nx^{n-1} - 2x \sum_{n=0}^{\infty} a_nx^n = 0\]\)

We can rearrange the terms and combine like powers of \(x\):

\(\[\sum_{n=0}^{\infty} (na_n - 2a_{n-1})x^n - 2a_0 = 0\]\)

To satisfy this equation for all values of \(\(x\),\) each term inside the summation must be equal to zero:

\(\[na_n - 2a_{n-1} = 0\]\)

This is a recurrence relation for the coefficients \(\(a_n\)\).

To find a general formula for the coefficients, we can solve this recurrence relation. Let's start by determining the first few coefficients:

For\(\(n = 0\),\) the relation gives: \(0 \cdot a_\(0 - 2a_{-1} = 0\)\), which implies that \(\(a_{-1} = 0\).\)

For \(\(n = 1\),\)the relation gives:\(\(1 \cdot a_1 - 2a_0 = 0\),\)which implies that \(\(a_1 = 2a_0\).\)

For \(\(n = 2\),\)the relation gives: \(\(2 \cdot a_2 - 2a_1 = 0\),\)which implies that \(\(a_2 = a_1 = 2a_0\).\)

We can see a pattern emerging: \(\(a_n = 2a_{n-1}\) for \(n \geq 1\).\)By substituting this relation recursively, we find that:

\(\(a_n = 2^n a_0\) for \(n \geq 0\)\)

Therefore, the general formula for the coefficients is \(\(a_n = 2^n a_0\).\)

Now we can express the power series solution to the differential equation:

\(\[y(x) = \sum_{n=0}^{\infty} a_nx^n = \sum_{n=0}^{\infty} 2^n a_0 x^n\]\)

The power series expansion about\(\(x = 0\)\)for a general solution to the given differential equation is:

\(\[y(x) = a_0 \sum_{n=0}^{\infty} (2x)^n\]\)

In summary, the general solution in power series form is given by:

\(\[y(x) = a_0 \sum_{n=0}^{\infty} (2x)^n\]\)

where \(a_0\) is an arbitrary constant.

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Answer:

h= (2a)/b

Step-by-step explanation:

solved for equation