The park manager wants to make a time table for buses and mini buses leaving the park at different time of the day,from 8:00am to 5:00pm . Buses and mini buses leave the park at intervals of 40minutes and 50minutes respectively after loading . Both vehicles start loading at the same time TASK:Help the park manager to (a)Draw a departure time table for the 2vehicles from 8:00am to 5:00pm (b)Identify any time of the day when the two vehicles will leave the park at the same time. (c)How can traffic jam be controlled?​

Answer:

(800 x 9) + (10 x 9)

Step-by-step explanation:

Find out what 810 x 9 is:

810 x 9 = 7290

Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):

(800 x 9) = 7200

(10 x 9) = 90

7200 + 90 = 7290

Answer:

yes

Step-by-step explanation:

The "n" in the formula for calculating degrees of freedom for a correlation coefficient represents the sample size. The correct option is a.

Explanation: In statistics, the correlation coefficient measures the strength and direction of the linear relationship between two variables. When calculating the degrees of freedom for a correlation coefficient, the "n" represents the sample size. Degrees of freedom (df) refers to the number of independent observations in a statistical analysis. It represents the number of values that are free to vary after certain restrictions or conditions have been imposed.

In the context of correlation, the formula for degrees of freedom is given by (n - 2), where "n" is the sample size. The subtraction of 2 is because the calculation of the correlation coefficient involves estimating the parameters of the line that best fits the data, which requires two degrees of freedom. Subtracting 2 ensures that the degrees of freedom accurately reflect the number of independent observations available for analysis.

Therefore, the correct answer is (a) sample size. The larger the sample size, the greater the degrees of freedom, which generally improves the reliability and precision of the correlation coefficient estimate.

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Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

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Answer: x=4

Step-by-step explanation: as you saw everything is multiplied by 5 this means the 4 became a 20.

3x+8=20

-8 on both sides

3x=12

divide both sides by 3

x=4

Answer:

Measure of arc CD = 112°

Step-by-step explanation:

Since quadrilateral ABCD is a cyclic quadrilateral,

m∠A + m∠C = 180°

129° + m∠C = 180°

m∠C = 180° - 129°

m∠C = 51°

Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]

                           = 2(51°)

                           = 102°

Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°

102° + m(arc CD) + 146° = 360°

m(arc CD) = 360° - (102° + 146°)

                = 112°

Therefore, measure of arc CD is 112°.

The natural logarithm is commonly used to approximate growth rates in various fields such as finance, economics, and biology. However, there are potential problems that can arise when using the natural logarithm for this purpose. Some of these problems include:

1. Non-linear growth: The natural logarithm assumes a constant growth rate over time, which may not accurately represent real-world scenarios. In many cases, growth rates may change over time, leading to non-linear patterns that cannot be accurately captured using the natural logarithm.
2. Negative growth rates: The natural logarithm cannot handle negative growth rates. If a variable experiences negative growth, such as a population declining or a stock losing value, the natural logarithm will produce an undefined result. This limitation can hinder the use of the natural logarithm in situations where negative growth rates are present.
3. Sensitivity to small changes: The natural logarithm is highly sensitive to small changes in values. This means that even a slight deviation in the growth rate can result in a significant difference in the calculated approximation. This sensitivity can introduce errors and inaccuracies in the estimation of growth rates.
4. Lack of interpretability: While the natural logarithm provides a mathematical approximation of growth rates, it may not always have a clear interpretation in real-world terms. For example, if the natural logarithm yields a growth rate of 0.05, it may not be immediately obvious what this means in practical terms. This lack of interpretability can make it challenging to communicate and understand the results.

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The  six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 6x + 3y+ 2z = 8 are ,

dxdydz : 8-2z 8-3y-2z

dydxdz : 8-2z 8-6x-2z

dxdzdy : 8-4y 8-3y-2z

dzdxdy : 8-3y 8-6x-3y

dydzdx : 8-6x-2z

dzdydx : 8-6x-3y

The tetrahedron cut from the first octant by the plane 6x + 3y + 2z = 1 has vertices at (1/6, 0, 0), (0, 1/3, 0), (0, 0, 1/2), and (0, 0, 0). Here are six different iterated triple integrals for the volume of this tetrahedron:

\(\int_0^{1/2} \int_0^{2-4z/3}\int_0^{1-3y/2-2z/3} dx \, dy \, dz\)

\(\int_0^{1/6} \int_0^{1-6x}\int_0^{1-3y/2-2z/3} dy \, dz \, dx\)

\(\int_0^{1/6} \int_0^{1/3-2x/3}\int_0^{1-3y/2-6x/3-2z/3} dz \, dy \, dx\)

\(\int_0^{1/2} \int_0^{1/6-3z/2}\int_0^{1-6x-3y/2-2z/3} dy \, dx \, dz\)

\(\int_0^{1/3} \int_0^{1/2-2y}\int_0^{1-3y-2z-6x} dx \, dz \, dy\)

\(\int_0^{1/3} \int_0^{1/6-3y/2}\int_0^{1-6x-3y/2-2z/3} dz \, dx \, dy\)

Note that the order of integration doesn't affect the final result, as long as the limits are set up correctly.

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Since the line of best fit represents the best linear model given the data, we can see that if y = 44 (pounds), then we are looking at the expected length of a catfish that weighs 44 pounds.

Answer:

1.09 dollars/kg     0.92 kg/dollar

Step-by-step explanation:

Dollars/kg:  8.69 ÷ 8 = 1.09 dollars/kg

kg/dollars:  8 ÷ 8.69 = 0.92 kg/dollar

Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

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Answer:

56 cm, 1.8 ft, 20 in

Step-by-step explanation:

I just simply turned 1.8 ft and 20 in into centimeters

1.8 ft = 54.9 cm

20 in = 50.8 cm

56 cm = 56 cm

Answer:

x = 0

Step-by-step explanation:

→ Expand out the brackets

6 - 18x + 4x - 6  = 0

→ Collect all the like terms

-12x = 0

→ Now solve

x = 0

Answer:

0

Step-by-step explanation:

6 ( 1 - 3x ) + 2 ( 2x - 3 ) = 0

First solve the brackets

6 - 18x + 4x - 6 = 0

Now combine like terms

6 - 14x - 6 = 0

And now let us solve for x

-14x = 6 - 6

Divide both sides by (- 14)

-14x = 0

x = 0

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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3600 in. is equal to 25 square feet, calculated using two unit multipliers.

To convert 3600 in. to square feet, there are two unit multipliers we can use: 1 ft/12 in and (1 ft/12 in)^2. Here's how to perform the conversion:

Multiply 3600 in. by 1 ft/12 in (the first multiplier) to convert inches to feet:

3600 in. × (1 ft/12 in) = 300 ft

Multiply 300 ft by (1 ft/12 in)^2 (the second multiplier) to convert square feet back to square inches:

300 ft × (1 ft/12 in)^2 = 3600 sq in.

Since you initially had 3600 sq in, which is equivalent to 25 sq ft (because 1 sq ft = 144 sq in), your final answer is:

3600 in. = 25 sq ft

Therefore, 3600 in. is equal to 25 square feet.

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Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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Given:

Find-: Graph of inequality.

Sol:

Graph of inequality.

Inequality.

Graph is:

Graph of both inequality is:

Answer:

5/42 or 0.1190

hope this helps :)

Answer:

C.  y= 1/7x2

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

Answer:

2/3 or 0.667

Step-by-step explanation:

5/9 ÷ 5/6

5/9 * 6/5

1/3 * 2/1 (after cancelling off)

= 2/3

Given differential equation is `dy/dx = y(x) = 7√x - 3x√x + 6` and the particular point is `(1,4)`To find the particular function y(x) that satisfies the given differential equation, we need to solve the differential equation with the help of integration.

Separate the variables and integrate both sides with respect to x.∫`1/y dy =` ∫`(7√x - 3x√x + 6) dx`Taking integral, we get: `ln|y| + C = 2(√x)^3 - 3(√x)^2 + 6x + C_1` Here, C and C1 are the constants of integration.

Combining both of them we get:C2 = C1 − C where

C2 = constant of integration

= `ln|y|` − `2(√x)^3 + 3(√x)^2 − 6x`

Putting x = 1 and y = 4, we get: `ln(4) - 2 + 3 - 6 = C_2`=> `

ln(4) - 5 = C_2`

So, the required particular function is: Putting the value of `C_2` back into the equation and then simplifying it Taking antilogarithm on both sides Therefore, the particular function is: `y = ± e^(2√x(x + 3) − 5)`

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The required ratio of essential oils to jojoba oil is 1:24.

Given that,
You include 1/2 tablespoon of essential oils in a solution for every 12

tablespoons of jojoba oil.

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

Here,
tablespoon of essential oils = 1/2
tablespoons of jojoba oil = 12
Ratio = [1 / 2] / 12
Ratio = 1 / [2 × 12]
Ratio = 1 / 24

Thus, the required ratio of essential oils to jojoba oil is 1:24.

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There are B receives an amount of $35,733.33 more than C.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let "b" be the amount that B receives.

A receives 1/2 × b, and C receives 1/3 × b.

The total amount that A and C receive is 1/2 × b + 1/3 × b = 5/6 × b.

Since A, B, and C are to share $44,000 in the ratio a:b:c, the total amount that A and C receive is 5/6 × b = $44,000.

Solving this equation for b, we get:

b = $44,000 / (5/6)

b = $44,000 x (6/5)

Apply the multiplication operation, and we get

b = $53,600

Therefore, B receives $53,600, and C receives 1/3 x $53,600 = $17,866.67.

B receives $53,600 - $17,866.67 = $35,733.33 more than C.

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Applying synthetic division, the quotient between 8x³ + 26x² + 19x + 3 by 4x + 3 is:

2x² + 5x + 1.

In this context of this problem, the coefficients of the polynomial 8x³ + 26x² + 19x + 3 are given as follows:

8, 26, 19 and 3.

The divisor is found as follows:

4x + 3 = 0

4x = -3

x = -3/4

x = -0.75.

The resulting coefficients of the quotient are given as follows:

8, 20, 4 and remainder of 0.

Hence the quotient is:

8x² + 20x + 4.

Which can be simplified as:

2x² + 5x + 1.

The first coefficient of the polynomial, of 8, was moved down, the multiplied by -0.75 and added to 26, resulting in 20. Then the same procedure was done with 20(multiplied with -0.75 and added with the next coefficient of 19), until the last coefficient of 3.

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Answer:

1. 80 2. 40

Step-by-step explanation:

because it's parallel to the other side

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

\(0 \leqslant x \leqslant 3\)

20x,

\(3 < x \leqslant 6\)

10x,

\(x > 6\)

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

Answer:

x = 1
y = -3

Step-by-step explanation:

We will take our equation and substitute it, giving us:
6x - (-3x) = 9
Since there are two negatives We make it a positive. 6x + 3x = 9.
9x = 9
x = 1
Then we substitute, we will get 6 - y = 9.
6 = 9 + y
y = -3

We can now check this, substituting we get:
6 - (-3) = 9
6 + 3 = 9
Everything checks out.

2 [4( 2³ + 5)] - 4²

2 [ 4 (8 + 5)] - 16

2 [ 4 ( 13)] - 16

2 [ 52 ] - 16

104 - 16

88

Answer: b yes

Step-by-step explanation: the unit rate will be 48

Answer:

B

Step-by-step explanation:

yes, the proportional ratio is y/x=k

156/3.25=48

204/4.25=48

252/5.25=48

the ratio is 48