Find n 5|6n+15|+2=-43

Answer:

Step-by-step explanation:

n = 8

c(n) = -6+5(n - 1)

c(8) = -6+5(8 - 1)

c(8) = -6+5( 7)

c(8) = -6+5(7)

c(8) = -6+35

c(8) =  29

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

Here is the series.

-6

-1

4

9

14

19

24

29

Answer:

$22.10

Step-by-step explanation:     Cost of tickets without discount $8×2+5×2=16+10=26

Cost with discount: 26× 100−15/100 = 26×85/100 = 2210/100 = 22.10.

Hope this helps :)

Answer:

Step-by-step explanation:

[tex]y^{3} - 2y^{2} - 35y[/tex]

[tex]y(y^{2} - 2y - 35)[/tex]

[tex]y(y - 7)(y + 5)[/tex]

The possible dimensions of the freezer are given by the factors y, (y - 7), and (y + 5), representing the length, width, and height of the freezer respectively.

The question is asking for the possible dimensions of a freezer with a volume represented by the trinomial y^3-2y^2-35y. To find the dimensions, we will factor this expression.

We can factor out the common factor y first:

y(y^2 - 2y - 35)

Next, we need to factor the quadratic equation. We look for two numbers that multiply to give -35 and add to give -2. These numbers are -7 and +5.

y(y - 7)(y + 5)

Now we have the factors of the trinomial. These factors represent the possible dimensions of the freezer: a length of y units, a width of (y - 7) units, and a height of (y + 5) units, where y is a positive real number because physical dimensions must be positive.

to get the inverse of any expression, we start off by simply doing a quick switcheroo on the variables, and then solving for "y".

[tex]\bf g(x)=4y\implies \stackrel{switcheroo}{g(y)=4x}[/tex]

Answer:

12x-3=

Step-by-step explanation:

x=12+3

=15

=5×+7=

×=7-5

=2

5

To solve for x, one must understand the type of equation provided. Unfortunately, the original question does not provide clear context or an equation. Therefore, various methods such as algebraic manipulation, proportions, or the quadratic formula may be used to solve for x depending on the equation at hand.

The information provided in the question seems fragmented and lacking context. To solve for x in algebra, one would typically rearrange the equation and isolate the variable x. Here are various ways that might be relevant:

For linear equations, you can divide or multiply both sides of the equation by a number to isolate x.

When dealing with proportions, like 12 inches/1 foot = x inches/3.5 feet, you would cross multiply to solve for x.

If given a quadratic equation such as ax² + bx + c = 0, you can use the quadratic formula to find the roots or solutions for x.

In cases where the provided information is insufficient, clarifying the original equation or context is essential to provide an accurate solution.

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Answer:

The location of the sum is 2 units before P (left to P)

Step-by-step explanation:

* Lets describe the number line

- A number line is a horizontal straight line with numbers placed at

 an equal units

- A number line can be extended infinitely to the left and to the right

- A number line represents both positive and negative integers

- The numbers come on it from left to right

- The negative numbers come on the left of zero and the positive

  numbers come on the right of zero

- Ex: -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 part of the numbers on the

 number line

- To add numbers on the number line we start from first number of

  the addition and if this number is added by a positive number we

  go to right , if the number is added by a negative number

  we go to left

- Ex: 5 + 3 ⇒ go from 5 to the right 3 units, then your position is at 8

 2 + (-3) ⇒ go from 2 to the left 3 units then your position is at -1

* Now lets solve the problem

- The sum of P + (-2)

∵ Your location is P

∵ You will add P by (-2)

- Negative number means you go to the left

∴ Your position will be before P by two units

∴ The location of the sum is 2 units before P (left to P)

The sum of p + (-2) will always be located to the left of p on a number line.

To describe the location of the sum P+(−2) on a number line, you would start at the point represented by

P and then move 2 units to the left.

This is because adding a negative number is equivalent to moving to the left on the number line.

For example, if P is located at the number 5 on the number line, then

P+(−2) would be located at 5−2=3.

So, the sum is 3 units to the left of the point P on the number line.

Answer:

there are 9 canoes on the lake

Step-by-step explanation:

divide 18 by 2

Answer:

10

Step-by-step explanation:

you must divide the number of all the people for the number of the people who can stay on tbe canoes (18:2=9) then ypu should add angela couse she didn't count herself (9+1=10)

Answer: X intercept= (-3,0) Y intercept= (0,4)

Step-by-step explanation:

Answer:

The origin represents no potatoes, thus no money.

The variation is 0.99 per pound.

Step-by-step explanation:

If the price of 3 pounds is $2.97, that means each pound costs $0.99

So, the price of 4 pounds of potatoe, is 4 x $0.99 = $3.96

Same for 6 and 10:

6 x $0.99 = $5.94

10 x $0.99 = $9.90

So, the variation is $0.99 for pound of potatoe

Answer: The unit rate is $0.99.

and the origin represents no potatoes means no money i.e. (0,0).

Step-by-step explanation:

Since we have given the table.

Cost of 3 potatoes = $2.97

Cost of 4 potatoes = $3.96

Since there is direct variation.

So, unit rate would be

[tex]\dfrac{2.97}{3}=\dfrac{3.96}{4}=\$0.99[/tex]

Hence, the unit rate is $0.99.

and the origin represents no potatoes means no money i.e. (0,0).

Answer:

π/4 in^2.

Step-by-step explanation:

The exact value = π r^2

= π * (1/2)^2

= π/4 in^2.

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6[/tex]

Answer:

Part a) 920 rods

Part b) 2,530 fathoms

Step-by-step explanation:

we have that

The Kentucky Derby distance is  23 furlongs

Part a) How far is the Kentucky Derby in​ rods?

Remember that

[tex]1\ furlong= 40\ rods[/tex]

so

To convert furlongs to rods multiply by 40

[tex]23\ furlongs=23(40)=920\ rods[/tex]

Part b) How far is the Kentucky Derby in​  fathoms?

Remember that

[tex]1\ furlong= 110\ fathoms[/tex]

so

To convert furlongs to fathoms multiply by 110

[tex]23\ furlongs=23(110)=2,530\ fathoms[/tex]

Answer:

x = [tex]\frac{+}{-}[/tex] 7

Step-by-step explanation:

[tex]x^{2}[/tex] = 49

[tex]\sqrt{49}[/tex] can equal 7 or -7

7 x 7 = 49.  -7 x -7 = 49

Suri made the error of only finding one solution for the equation x squared = 49. The correct solutions are x = 7 and x = -7.

Suri made an error when solving the equation x squared = 49 by only finding one value for x. In fact, there are two solutions to this equation, as the square root of 49 can be both positive and negative. So the correct solutions are x = 7 and x = -7.

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square root of 3, √3

Answer:

A

Step-by-step explanation:

You must first find a Y value and plug it into both equations and then plug the solution in then simplify to see if they equal each other or not. the one that equals to each other is the solution

Answer:

18 weeks

Step-by-step explanation:

Total amount of money saved up to buy the printer is T(w), where w is the number of weeks.

Then T(w) = $100 + ($20/wk)w

Setting this equal to $460, we solve the resulting equation for w to determine the number of weeks it took Hugo to save up $460 total:

$460 = $100 + ($20/wk)w, or

$360 = ($20/wk)w, or

w = $360/($20/wk) = 18 weeks

Hugo's savings over time can be represented by the equation 100 + 20w = 460. Here, w is the number of weeks saved. Solving this equation shows that Hugo saved for 18 weeks to have enough money for the printer.

The problem can be solved by setting up an equation related to Hugo's savings. Hugo had $100 and he saved $20 per week until he had a total of $460.  If we let w represent the weeks, we could represent this situation with the equation 100 + 20w = 460.

To solve the equation, we subtract 100 from both sides giving us 20w = 360. Then divide both sides by 20 to get w = 18. Therefore, it took Hugo 18 weeks to save enough money for the printer.

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Answer:

C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

The average rate of change for the function f(x) from [tex]x_1=a[/tex] and [tex]x_2=b[/tex] is

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

It is a measure of how much the function changed per unit, on average, over that interval.

Actually, this is the slope of the line passing through two points on the graph of the function.

If the average rate of change of the function f(x) between m = 36 and m = 60 is -0,04, it means that the value of the comic book decreased (because of negative number -0.04) by an average of $0.04 each month (a unit in this case is a month) between m = 36 and m = 60.

Answer:

C. The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

Step-by-step explanation:

To have an annual income greater than $65,000, a car salesperson needs to achieve sales of at least $375,000.

To determine the sales needed to have an annual income greater than $65,000, we need to set up an equation.

Let's represent the sales amount as 'x'.

The equation will be: $35,000 + 0.08x > $65,000.

To isolate 'x', subtract $35,000 from both sides: 0.08x > $30,000.

Finally, divide both sides by 0.08 to find the sales needed: x > $375,000.

Therefore, the sales needed to have an annual income greater than $65,000 is $375,000.

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Answer: 153 trees in each row

Step-by-step explanation:

You would divide 1,224 by 8 to get 153 trees in each row.

Answer:

Step-by-step explanation:

23 = 5x - 2y.

2y = 5x -23. Rearrange to make y the subject

y = (5/2)x - 23/2

23 = 5x – 2y

move 5x to the other side

sign changes from +5x to -5x

23-5x= 5x-5x-2y

23-5x= -2y

divide both sides by -2 to get y by itself

23/-2-5x/-2= -2y/-2

Answer:

y=-23/2+5x/2 or y=5x/2-23/2

Answer:

1. 0.03

2. 0.066

3. 0.20833

4. 0.42105263157

Step-by-step explanation:

Answer:

Angle TSU

Step-by-step explanation:

Two lines extend from point S to create a right angle TSR, where the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.

A third line extends right and up from point S through point U (see attached diagram for details).

Consider angle UST. We can name angles by using three capital letters like: UST. The middle letter is called the vertex of the angle. In your case, the vertex is at S. Two consecutive letters shows the rays which form the angle. In your case, SU (ray from S to U) and ST (ray from S to T) form the angle. If we consider rays ST and SU, then we get angle name TSU.

The way to name angle UST is the angle TSU.

Two lines extend from point S to create a right angle TSR, when the vertical line extends from point S through point R and the horizontal line extends right from point S through point T.

A corner whether constituting a projecting part of a partially enclosed space.

A third line extends right and up from point S through point U (see attached diagram for details).

Consider angle UST.

We can name angles by using three capital letters like: UST.

The vertex of the angle is the middle letter.

In this case, the vertex is at S.

Two consecutive letters show the rays which form the angle.

In case, SU and ST form the angle.

We consider rays ST and SU, So we get the angle name UST.

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Answer:  The required expression for -g(x) is -x+6.

Step-by-step explanation:  We are given the following function :

[tex]g(x)=x-6.[/tex]

Also, the opposite of g(x) is -g(x).

We are to find the expression for g(x).

According to the given information, we have

[tex]-g(x)\\\\=-(x-6)\\\\=-x+6.[/tex]

Thus, the required expression for -g(x) is -x+6.

Answer:cube

Step-by-step explanation:

Answer:

Cube

Step-by-step explanation:

Take a cube, or draw one. You can count the faces.

Knowing that a cube has 6 faces, we will count the edges.

There are 12 edges on a cube.

So, 12÷6=2.

Anything that you multiply by two is half the product.

Answer:

Step-by-step explanation:

Given a trapezoid WXYZ. In a trapezoid one pair of opposite sides are parallel .Parallel lines have same slope.Slope of line parallel to x axis is 0.If the line starts at the bottom left and goes towards the top right it has negative slope.

All that is true for Trapezoid WXYZ are:

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept

Answer:

+140.68 m/h

Step-by-step explanation:

17.33 h

2438.1/17.33 = 140.68

+140.68 m/h

Final answer:

The woman's average flight speed is 140.7 miles/hour, calculated by using the formula for speed (v = d/t) on the provided distance (2438.1 miles) and the converted time (17 hours 20 minutes to 17.333 hours).

Explanation:

Calculating Average Speed

The question is asking to calculate the average speed of a woman's flight given the distance traveled and the time taken. To convert the time from hours and minutes to just hours, we use the fact that 20 minutes is ⅓ of an hour (20/60). Therefore, 17 hours 20 minutes is equivalent to 17 + ⅓ = 17.333 hours.

We use the formula for speed, v = d/t, which tells us that speed (v) is the distance (d) divided by the time (t). Plugging in the given values:

Distance (d) = 2438.1 miles

Time (t) = 17.333 hours

Applying these values to the formula gives us:

v = 2438.1 miles / 17.333 hours = 140.7 miles/hour.

So, the final answer is that the woman's average speed during her flight was 140.7 miles/hour.

Answer:

1.)Will this career choice be a good fit for you?

2.)Does choosing a profession in this field require you to relocate?

3.)Will this profession pay you what you want or need to survive?

Step-by-step explanation:

Decision-making involves balancing the pros and cons of what you have been researching and experimenting with. Will this career choice be a good fit for you? Does choosing a profession in this field require you to relocate? Will this profession pay you what you want or need to survive? Honest answers to these questions will help you make the best decision. Also, consider when you plan to enter the industry. If it is a job that requires a lot of training or years of education, this time may be far in the future, so you need to be flexible with your plans and make allowances for changes as they come.

Answer: salary, education requirements, work/life balance

Step-by-step explanation:  edge 2022

After converting all volumes to the same unit (milliliters), we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters. Therefore, Marie's bucket holds the least amount of water.

To answer this question, we first need to convert all the volume measurements to the same unit. In this case, we'll convert everything to milliliters. We know that 1 liter equals 1000 milliliters. Therefore, Marie's bucket holds 2,030 milliliters (2 liters equal 2000 milliliters plus 30 milliliters), and Katie's bucket holds 2,350 milliliters (2 liters equal 2000 milliliters plus 350 milliliters).

Now that all the volumes are in the same units, we can compare them. Sammy's bucket holds 2,530 milliliters, Marie's bucket holds 2,030 milliliters, and Katie's bucket holds 2,350 milliliters.

From this comparison, we can see that Marie's bucket holds the least amount of water.

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