At the start of 2014 Mikes car was worth £12000. the value of his car decreased 30% every year.
work out the value of the car at the start of 2017

Answer:

4x 6y

Step-by-step explanation:

14x -10=4

The number of communication channels, 10 channels would five people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 5;

→ x = 5*(5 - 1)/2

     = 5*2

     = 10

The number of communication channels, 10 channels would five people require.

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Answer:

5.36/20

0.268 dollars per oz

plz brainliest :)

do you want an explanation?

23) The integral \(\int\limits x^{4} \sqrt{x^{5} +10} dx\) evaluates to \((2/15) (x^5 + 10)^{3/2} + C\).

24) The integral \(\int\limits \frac{(ln x)^{3}}{x} dx\) simplifies to \((ln x)^3 * x - 3 (ln x)^2 * x + 6x(ln x) - 6x + C\).

23) \(\int\limits x^{4} \sqrt{x^{5} +10} dx\)

Simplify the integral by using a substitution.

Let's substitute \(u = x^5 + 10\), then \(du = 5x^4 dx.\)

The integral becomes:

\(\int\limits (1/5) \sqrt{u} du\)

Now we can integrate u^(1/2) with respect to u:

\(\int\limits (1/5) \sqrt{u} du\) = \((2/15) u^{3/2} + C\)

Substituting back \(u = x^5 + 10\), we get:

\((2/15) (x^5 + 10)^{3/2} + C\)

Therefore, the integral of \(x^4 \sqrt{(x^5 + 10)}dx\) is \((2/15) (x^5 + 10)^{3/2} + C\).

24) \(\int\limits \frac{(ln x)^{3}}{x} dx\)

We can use integration by parts to solve this integral. Let's choose \(u = (ln x)^3\) and dv = dx.

Then \(du = 3(ln x)^2 (1/x) dx\) and v = x.

Applying the integration by parts formula:

\(\int\limits \frac{(ln x)^{3}}{x} dx\) = \(u * v - \int\limits v * du \\ = (ln x)^3 * x - \int\limits x * 3(ln x)^2 (1/x) dx \\ = (ln x)^3 * x - 3 \int\limits (ln x)^2 dx\)

Let's choose \(u = (ln x)^2\) and \(dv = dx\).

Then \(du = 2(ln x)(1/x) dx\) and v = x.

\(\int\limits \frac{(ln x)^{3}}{x} dx\) = \((ln x)^3 * x - 3 [(ln x)^2 * x - 2 \int\limits (ln x)(1/x) dx] \\ = (ln x)^3 * x - 3 (ln x)^2 * x + 6 \int\limits (ln x)(1/x) dx\)

The remaining integral can be solved as:

\(6 \int\limits (ln x)(1/x) dx = 6 \int\limits ln x dx \\ = 6 (x(ln x) - x) + C\)

Substituting this back into the previous expression:

\(\int\limits (ln x)^3 / x dx = (ln x)^3 * x - 3 (ln x)^2 * x + 6 (x(ln x) - x) + C\)

Simplifying further, we get:

\(\int\limits (ln x)^3 / x dx = (ln x)^3 * x - 3 (ln x)^2 * x + 6x(ln x) - 6x + C\)

Therefore, the integral of \((ln x)^3 * x - 3 (ln x)^2 * x + 6x(ln x) - 6x + C\).

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The correct question is:

Find the integral.

23) \(\int\limits x^{4} \sqrt{x^{5} +10} dx\)

24) \(\int\limits \frac{(ln x)^{3}}{x} dx\)

Answer:

For the top half add all of the numbers of a given set together, then divide by how many numbers there are.

1.) 9

2.) 7

3.) 4

4.) 3

5.) 47.5

6.) 67 1/3

For the bottom half questions, literally the same thing.

7.) 9

8.) 34

9.) 66

10.) -28

11.) -21

12.) 3

Step-by-step explanation:

your welcome for doing you 2 minute homework

The side x of the rectangle is 36.0 cm

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

All four angles of a rectangle are right angles.

The diagonal of a rectangle are equal in length to each other and they bisect each other at there point of intersection.

Therefore,

∠ COD = 48°

∠OCD = ∠ODC = 132 / 2 = 66°

Using sin law

OD / sin 66  = 16 / sin 48

OD sin 48 = 16 sin 66

OD =  16 sin 66 / sin 48

OD = 14.6167273223 / 0.74314482547

OD = 19.6687105931

OD = 19.7 cm

∠AOD = 180 - 48

∠AOD = 132°

∠OAD = ∠ODA = 48 / 2 = 24°

Hence, using sine law let's find x

19.7 / sin 24 = x / sin 132

x sin 24 = 19.7 sin 132

x = 19.7 sin 132 / sin 24

x = 14.6399530619 / 0.40673664307

x = 35.9935605802

Therefore,

x = 36.0 cm

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The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Answer:

Step-by-step explanation:

Write k for the divisor.

Write the coefficients of the dividend.

Bring the leading coefficient down.

Multiply the leading coefficient by k.

Add the terms of the second column.

Multiply the result by k.

Repeat steps 5 and 6 for the remaining columns.

Answer:

\(8t-3<37\) such that \(t<5\)

Step-by-step explanation:

Suppose Nicole rent a boat for t hours.

Cost of boat per hour \(=\$8\)

Discount coupon is of \(\$3\)

Total amount of rent is equal to \(8t-3\)

As Nicole spends less than $37,

\(8t-3<37\)

Now solve d the inequality.

\(8t-3<37\\8t<37+3\\8t<40\\t<\frac{40}{8} \\t<5\)

The equivalent system after eliminating the y-term is:

To eliminate the y-term from the third equation in the given system, we can use the first equation to express y in terms of x and z, and substitute it into the third equation. Let's solve the system step by step.

Given system of equations:

1) X - 7y + 2z = -1

2) y + z = -1

3) 4y + z = 1

To eliminate the y-term from the third equation, we'll solve equation 2) for y:

y = -z - 1

Now substitute this expression for y into equation 3):

4(-z - 1) + z = 1

-4z - 4 + z = 1

-3z = 5

z = -5/3

Now that we have the value of z, let's substitute it back into equation 2) to solve for y:

y + (-5/3) = -1

y = -1 + 5/3

y = -3/3 + 5/3

y = 2/3

Finally, we can substitute the values of y and z into equation 1) to solve for x:

X - 7(2/3) + 2(-5/3) = -1

X - 14/3 - 10/3 = -1

X - 24/3 = -1

X - 8 = -1

X = -1 + 8

X = 7

The new equivalent system after eliminating the y-term from the third equation is:

1) X = 7

2) y = 2/3

3) z = -5/3

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Answer:

x = 11

∠B = 80°

Step-by-step explanation:

∠A =∠B because they are corresponding angles

8x - 8 = 5x + 25

3x = 33

divide both sides of the equation by 3:

x = 11

∠B = 5(11) + 25 = 80°

The probability that the 25th flip will result in the counter landing on orange side up is fraction 1 over 2. The correct answer is D.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, Stephen has flipped the counter 24 times and he wants to know the probability of getting an orange side up on the 25th flip.

Since the counter has two sides - orange and brown, the probability of landing on the orange side is 1/2 or 0.5.

Each flip of the counter is independent of the others, so the previous flips do not affect the outcome of the 25th flip. Therefore, the probability of the 25th flip landing on the orange side up is still 1/2 or 0.5. The correct answer is D.

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Answer:

4:7

Step-by-step explanation:

i don't think that you can simplify it any further so you just change the / to a :

For the first fish population, we can model it with the equation y = 30x + 1250, where y represents the fish population and x represents the number of seasons plot the equations y = 30x + 1250 and y = 70x + 1100

To find the number of seasons it will take for the population to reach 1690 fish, we can set y equal to 1690 and solve for x:

30x + 1250 = 1690

30x = 440

x = 14.67

Since we can't have a fraction of season, we can round up to the nearest whole number. Therefore, it will take approximately 15 seasons for the population to reach 1690 fish.For the second fish population, we can model it with the equation y = 70x + 1100. To find the number of seasons when both populations have the same population, we can set the equations equal to each other:

30x + 1250 = 70x + 1100

40x = 150

x = 3.75

Again, rounding up to the nearest whole number, it will take approximately 4 seasons for both populations to have the same population. However, you can plot the equations y = 30x + 1250 and y = 70x + 1100 on a coordinate plane to visualize their graphs.

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The measure of ∠O is 56°. The solution has been obtained by using properties of circles.

What is a circle?

A circle is a round-shaped figure that has no sides or edges. A circle is a closed shape, a two-dimensional shape, and a curved shape in geometry.

We are given that m∠R = 28°.

Now, we take a point P on the circumference of the circle.

We know that in a circle, the angles that the same arc subtends on the circumference have equal measurements.

So, both the angles i.e. ∠P and ∠R are same as they are subtended by the same arc.

Therefore, we get

m∠P = m∠R = 28°

Moreover, an arc's angle at the circle's centre is twice as large as its angle at the circle's edge.

So, from this we get

⇒ m∠O = 2 * m∠P

⇒ m∠O = 2 * 28°

⇒ m∠O = 56°

Hence, the measure of ∠O is 56°.

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The complete question has been attached below

Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

The correct answer is (c) 42.1.

The F-statistic is used to test the overall significance of a regression model. In this case, we are given the values of the unadjusted coefficient of determination (r2ur), the adjusted coefficient of determination (r2r), the number of restrictions (p), and the degrees of freedom for error (n-k-1).

The F-statistic is calculated as F = ((r2ur - r2r)/p) / (1 - r2r)/(n-k-1)). Plugging in the given values, we get F = ((0.6873 - 0.5377)/3) / (1 - 0.5377)/(229) = 42.1.

The F-statistic is then compared to the critical value from the F-distribution table with p and (n-k-1) degrees of freedom and a significance level of α=0.05. If the calculated F-statistic is greater than the critical value, then we reject the null hypothesis and conclude that the model is statistically significant.

In this case, the calculated F-statistic of 42.1 is greater than the critical value, indicating that the model is statistically significant. Therefore, we can conclude that the regression model is a good fit for the data and that the independent variables are significantly related to the dependent variable.

In summary, the F-statistic is used to determine the overall significance of a regression model. It is calculated based on the unadjusted and adjusted coefficient of determination, the number of restrictions, and the degrees of freedom for error. The calculated F-statistic is then compared to the critical value to test the null hypothesis.

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0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Let's calculate the conversion for 0 degrees Celsius:

°F = (0 × 9/5) + 32

°F = 0 + 32

°F = 32

Therefore, 0 degrees Celsius is equal to 32 degrees Fahrenheit.

Now, let's consider the addition of 0 degrees Celsius and 0 degrees Celsius:

0 degrees Celsius + 0 degrees Celsius = 0 + 0 = 0

Since 0 degrees Celsius is equivalent to 32 degrees Fahrenheit, the sum of 0 degrees Celsius and 0 degrees Celsius is 0, not 64 degrees Fahrenheit.

So, 0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

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Answer::

Explanation:

Given the expression:

First, distribute the left bracket:

Next, open the bracket:

Answer:

3⅓ moves he have to make in garden

The fewest number of beads you must pick blindfolded to be absolutely sure there are 5 beads of the same color among the beads you have picked is 20 + 5 = 25 beads.

To ensure that there are at least 5 beads of the same color among the beads you pick blindfolded, you can apply the pigeonhole principle. The pigeonhole principle states that if you have n+1 objects distributed into n pigeonholes, there must be at least one pigeonhole containing more than one object.

In this case, we have 5 different colors, and we want to be absolutely sure that we have at least 5 beads of the same color. Therefore, we can consider each color as a pigeonhole, and we want to ensure that we have more than one bead in each of the 5 pigeonholes (colors).

Since there are 100 beads of each color, we can guarantee that we have more than one bead of each color by picking 4 beads of each color, which totals to 4 * 5 = 20 beads.

However, we want to ensure that we have at least 5 beads of the same color. To achieve this, we need to pick one additional bead from each color, which adds 5 more beads.

Therefore, the fewest number of beads you must pick blindfolded to be absolutely sure there are 5 beads of the same color among the beads you have picked is 20 + 5 = 25 beads.

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Answer ↣ 9.42 or 9.4.

Solution ↧

2πr

radius = 1/2 diameter

2(3.14)(1.5)

9.42 or ≈ 9.4

Hope this helps! :)

Answer:

The answer is: x-y-10=0

Answer:

\(B = \frac{3}{2} * 21,356\)

Step-by-step explanation:

Given

Represent Jimmy with J and Bob with B

\(J = 21,356\)

\(B = 1\frac{1}{2} * J\)

Required

Determine the expression for B

\(B = 1\frac{1}{2} * J\)

Substitute 21,356 for J

\(B = 1\frac{1}{2} * 21,356\)

Convert Mixed fraction to improper

\(B = \frac{3}{2} * 21,356\)

The above is an expression for B

Solving further, we have

\(B = \frac{3 * 21,356}{2}\)

\(B = \frac{64068}{2}\)

\(B = 32034\)

It shows the interval

[-2,8) or -2≤x<8

Answer:

Step-by-step explanation:

Area Formula= 1/2(base 1 + base 2) x height

You are missing base 1, which would be equal to 17. This is because base 2, which is 23, subtracted by 6 or (3+3), is 17.

So- Base1 = 17, Base2 =23, Height = 17

Formula with variables added= 1/2(17 + 23) x 17

When this equation is solved, the answer is - 340

Now

Area of trapezium

The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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