2(x+5)=3x+1 ++____________++

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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We have the point (3, 22.5), which means every 3 candles, Victor gains 22.5 dollars.

Similarly to the point (7, 52.5), which means every 7 candles, Victor gains 52.5 dollars.

-> Every 1 candle, Victor gains 7.5 dollars.

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

7.9 or 79/10

Step-by-step explanation:

-12.166 / -1.54

12.166 / 1.54

7.9

Answer:

Adding two negative numbers is the same as adding two positive numbers except, the sum is negative.

Add.

-13.706

Convert to fraction (number of zeroes in the denominator is the number of places after the decimal point).

-13 706/1000

Divide the numerator and the denominator by 2.

-13 353/500

Hope this helps! :)

Answer:

13. Bestie literally 9+4

Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.

You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?

You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.

Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:

9 - 4 = 5

Step-by-step explanation:

Answer:

What he did right was doing the first part correctly, wher it;s 46000x1.05, which is 48300. But then the student thought that every year, Carlos' salary will increase by 48300, and after 3 years it got to 144900, which is nuts. The real thing is to do 46000 x 1.15, because on the 3rd year, your salary will be 115% of your salary, if that makes sense, you do 5x3 = 15, then you add 15% to 100 which is 115 % =1.15. then you do 46000x1.15= 55545$

hope that answers your question

comment if your confused about something.

Step-by-step explanation:

Salary after 3 years of increment by 5% annual rate is given as $53,250.

Carlos accepts a new job with a starting salary of $46,000. He will earn a 5% increase after each year. What will be his salary after 3 years.

It is defined as the fee you pay to borrow money or the fee you levy to lend money. Interest is considerable and frequently recalled as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Incorrect solution,
$46,000 • 1.05 • 3 = $144,900 is Carlos’ salary after 3 years.

Correct solution,
Principal amount = $46,000
rate of increase in salary each year = 5%
After t = 3 years what will be the salary = ?

following identity is used to calculate the increments in principal amount.
\(Amount = principal(1+r)^t\)

\(Amount = 46000(1+0.05)^3\\Amount = 46000(1.05)^3\\\)
Amount = 456000 * 1.16
Amount = 53,250

Thus, salary after 3 years of increment is given as $53,250.

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The factor are (x^2 - 6)(x + 5).

We have given the polynomial of \(x^3 + 5x^2 - 6x - 30.\)

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.

\(x^3 + 5x^2 - 6x - 30.\)

factor out the x^2 from first two term and write the remaining term in the bracket

similarly,factor out 6 from the 3rd and 4th term we get

\(x^2(x+5)-6(x+5)\)

by grouping are we get

\((x^2 - 6)(x + 5).\)

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Answer:

14000Kilolitres

Step-by-step explanation:

\( 1megalitre = 1000kilolitres \\ \)

\(14megalitres = xkilolitres\)

Cross multiply

\(14 \times 1000 = xkilolitres\)

\(14megaitres = 14000kilolitres\)

Answer:

12+96=108

Step-by-step explanation:

======================================================

Work Shown:

c = number of chairs

1 chair costs $12, so buying c of them costs 12c dollars.

She spent $108 total, meaning the equation is 12c = 108. That solves to c = 9 when you divide both sides by 12.

So that means she paid for 9 chairs. We're told that she gets a free chair for every 4 she buys. Since 9/4 = 2.25, it tells us that buying two batches of four chairs will get her 2 bonus chairs free of charge. Therefore, the total amount of chairs she receives is 9+2 = 11

The equation of a parabola is y²+12x=0.

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).

as per the given question:

We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).

The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is

(x−(−3))² + (y−0)² = (x−3)²

or (x+3)² + y² = (x−3)²

or x² + 6x + 9 + y² = x² − 6x + 9

or y² + 12x =0

Hence, The equation of a parabola is y²+12x=0.

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Non-response could cause the results of the survey to be biased because those people who did not respond in the survey may differ from those who did respond.

In the question, we are given;

A total of 2,000 people on a survey

we are told 317 (sample)  people returned the survey

The data given in the question is a non-response bias, therefore;

We can say that, people who did not respond in the survey may differ from those who did respond to the survey

Usually, in non-response bias, the samples that are given or chosen by people, are not capable of participating in the survey.

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Answer:

15

Step-by-step explanation:

Replace each instance of 'x' with '(-6):'

f(-6) = 3 - 2(-6)

       = 3 + 12 = 15

In analyzing the domestic and foreign cars using the "Sysuse auto" dataset, several variables should be considered: price, mileage, and trunk space. Firstly, a dummy variable can be created to identify the top 25% of prices, indicating whether a car falls within this range or not. This variable can be labeled accordingly.

To compare the average values for the selected variables between the domestic and foreign car groups, Stata can be used to calculate the averages. By grouping the data based on the car's origin, we can analyze and compare the average price, mileage, and trunk space for both domestic and foreign cars. The results will provide insights into the differences between the two groups

In addition to the primary variables, there may be other factors that your friend considers important. These variables should be listed and analyzed in terms of their averages between the domestic and foreign car groups. By comparing the averages, we can identify any notable differences that may influence the decision-making process.

Considering the analysis results, it is recommended that your friend chooses a car from either the domestic or foreign group based on the following factors: price, mileage, trunk space, and any additional variables that were considered important. By comparing the averages for these variables between the two groups, your friend can make an informed decision. The logical explanation should consider factors such as affordability, fuel efficiency, and storage capacity, as well as personal preferences and priorities.

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Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

i have no idea

Step-by-step explanation:

jhdjicjfhdj

Answer:

-4, -5

Step-by-step explanation:

The first step to solving this problem is to rearrange the equation into the form y = a number.

Step 1: subtract 2.7 from both sides

4.4-2.7 = -0.4y

1.7 = -0.4 y

Step 2: divide both sides by -0.4

1.7÷(-0.4) = y

-4.25 = y

Since y = -4.25, the closest integers to it are -4 and -5.

I'm not sure what table would be applicable here, but this problem was solved using order of operations and the concept of a number line.

Answer

Check Explanation

Explanation

a ≡ b (mod n)

This means a and b have the same remainder when they are divided by n

So, to check if this question works out, we divide what is on the left hand side and what is on the right hand side by what is after the mod.

1) 67 × 73 ≡ 1 × 3 (mod 5)

4891 ≡ 3 (mod 5)

So, to check,

(4891/5) = 978 remainder 1

(3/5) = 0 remainder 3

The remainders are different.

So, this equation is wrong and does not work.

This equation is false.

2) 83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)

Noting that it is the units digit that determines the remainder

3 raised to the power of a multiple of 4 gives 81 raised to the power of a positive integer

5 raised to power of a multiple of 4 gives 625 raised to the power of a positive integer

So, using these numbers,

83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)

81 ≡ 625 (mod 17)

(81/17) = 4 remainder 13

(625/17) = 36 remainder 13

The remainders are the same.

So, this equation is correct and it works.

This equation is true.

Hope this Helps!!!

Answer:

729

Step-by-step explanation:

Write the recursive formula through the pattern:

\(a_{n+1}=-3a_{n}\)

Find terms of sequence through 9, -27, 81, -243 :

729

I hope this helps you

:)

Answer:

27x7=189.

189x5= ***945cm***

The sum of all interior angles of a nonagon is given as (n - 2) × 180° where n is the number of sides. Since a nonagon has 9 sides, this can be expressed as:

(9 - 2) × 180° = 1260°

If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be:

138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°

To find the measure of the two remaining angles, we can subtract the sum of the known angles from the sum of all the interior angles of a nonagon:

1260° - 974° = 286°

Thus, the sum of the measure of the two remaining angles is 286°. Since there are two remaining angles, we can divide this by 2 to find the measure of each angle:

286° ÷ 2 = 143°

Therefore, each of the two remaining angles in a nonagon measure 143°. The given problem is to find the measure of the two remaining angles of a nonagon when the measure of seven angles in a nonagon measure 138 154 145 132 128 147 and 130.

First, we need to know that the sum of all interior angles of a nonagon is given as (n - 2) × 180° where n is the number of sides. Since a nonagon has 9 sides, this can be expressed as (9 - 2) × 180° = 1260°.

If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be 138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°.

To find the measure of the two remaining angles, we can subtract the sum of the known angles from the sum of all the interior angles of a nonagon. 1260° - 974° = 286°.

Thus, the sum of the measure of the two remaining angles is 286°. Since there are two remaining angles, we can divide this by 2 to find the measure of each angle. 286° ÷ 2 = 143°.

Therefore, each of the two remaining angles in a nonagon measure 143°.

The sum of the measure of all angles of a nonagon is given as (n - 2) × 180°, where n is the number of sides. If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be 138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°. Subtracting this sum from the sum of all the interior angles of a nonagon gives the sum of the two remaining angles, which is 286°. Dividing this by 2 gives the measure of each of the two remaining angles, which is 143°.

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Answer: \(5x^{2} +6x\)\(-4\)

Step-by-step explanation:

Synthetic division

Answer:

148

Step-by-step explanation:

Answer:

\(\frac{131}{90}\)

Step-by-step explanation:

We require 2 equations with the repeating 5 placed after the decimal point.

let x = 1.4555... ( multiply both sides by 10 and 100 )

10x = 14.55... → (1)

100x = 145.55... → (2)

Subtract (1) from (2) , eliminating the repeating 5

90x = 131 ( divide both sides by 90 )

x = \(\frac{131}{90}\)

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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According to given conditions \($\cos(\theta - \phi)$\) is approximately equal to $0.6706$.

An angle is a measure of the amount of rotation between two rays with a common endpoint, called the vertex of the angle. Angles are typically measured in degrees or radians, and they are used to describe the relative position or orientation of two lines or planes, or the shape of a geometric figure. The size of an angle is determined by the amount of rotation between the two rays, which can range from 0 degrees (when the rays are parallel) to 180 degrees (when the rays form a straight line) to 360 degrees (when the rays form a complete circle). Angles are an important concept in mathematics, physics, and engineering, among other fields.

We can use the identity \($\cos(a - b) = \cos(a)\cos(b) + \sin(a)\sin(b)$\) to evaluate \($\cos(\theta - \phi)$\) in terms of \(sin \theta$, $\cos \phi$, $\sin \phi$, and $\cos \theta$.\)

First, we need to find \($\sin \phi$\), which is given by \($\sin^2 \phi + \cos^2 \phi = 1$\). Since \($\phi$\) is a first quadrant angle, we have \($\sin \phi = \sqrt{1 - \cos^2 \phi} = \sqrt{1 - 0.8125^2} = 0.5833$\) (rounded to four decimal places).

Next, we can use the given values of \(sin \theta$ and $\cos \phi$\) to find \($\cos \theta$\) and \($\sin \phi$\), respectively. Since both \(\theta$ and $\phi$\) are first quadrant angles, we know that \(\sin \theta$ and $\sin \phi$\) are both positive, and \(\cos \theta$ and $\cos \phi$\) are both nonnegative.

Thus, we have:

\($$\sin \theta = 0.5625$$$\cos \phi = 0.8125$$$\sin \phi = 0.5833$$\)

\($$\cos \theta = \sqrt{1 - \sin^2 \theta} = \sqrt{1 - 0.5625^2} = 0.8269$$\) (rounded to four decimal places)

Now, we can substitute these values into the formula for \(\cos(\theta - \phi)$:\)

\($$\cos(\theta - \phi) = \cos(\theta)\cos(\phi) + \sin(\theta)\sin(\phi)$$$$= (0.8269)(0.8125) + (0.5625)(0.5833)$$$$= 0.6706$$\)

(rounded to four decimal places)

Therefore,according to given conditions \($\cos(\theta - \phi)$\) is approximately equal to $0.6706$.

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The image is formed behind the mirror, and the image is upright.

Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u

Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20

Simplifying the above equation, we get;v = -40 cm

This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.

Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.

The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:

Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.

The image is formed behind the mirror, and the image is upright.

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Answer:

the 5y-23 equals 4  2x+13 equals 6.500

Step-by-step explanation:

thats what i worked out  and got

ANOVA is a powerful statistical tool that can be used to compare means across multiple groups. By following these guidelines, researchers can be confident that the ANOVA results are valid and accurate.

The required condition for using an ANOVA procedure on data from several populations is that the selected samples are dependent on each other.

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