Find a recursive formula for the arithmetic sequence 24,32,40,48,... . Please someone help

A) For the y-intercept. The cost of the rental fee at 0hour is $100.

B)  The rate of the price of the hall with respect to the time is 66.7 dollars/hour

The y-intercept of the graph is the point where the line cuts the y axis. From the graph, we can see that the line cuts the y-axis at y = 100

This means that the cost of rental fee at 0 hour is $100.

To get the slope of the graph, we will use the coordinate point (0,100) and (3,300)

\(Slope =\frac{300-100}{3-0}\\Slope = \frac{200}{3}\\Slope = 66.7\)

This shows that the rate of price of the hall with respect to the time is 66.7 dollars/hour

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Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

The answer is 58

Step-by-step explanation:

12 times 4 = 48

48 plus 10 = 58

1 foot = 12 inches

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The rank of the points having a maximum moment of inertia is c > a > b.

The figure of 25 % snipped off square-shaped uniform metal plate.

We can rank the points according to the moment of inertia using the relation between the moment of inertia and the radius of gyration of the elements.

The formulae are as follows:

I = mh²

Where h = Radius of gyration, m is mass, and I is the moment of inertia.

Here,

I = mh²

So, the final moment of inertia will be maximum for the axis, which consists of elements having more h (which are more distant from the axis).

From this, it can be concluded that the moment of inertia about an axis through point c is maximum, followed by (a) and then (b).

Rank is c > a > b

Therefore, the points can be ranked according to the moment of inertia about the axis passing through it using its relationship with the radius of gyration.

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Answer:

Step-by-step explanation:

Answer:

<YTZ

Step-by-step explanation:

Vertical angles are congruent.

<VTW measures 40°.

<YTZ is vertical to angle VTW.

m<YTZ = m<VTW

m<YTZ = 40°

Answer: <YTZ

Answer:

55

Step-by-step explanation:

All triangles have a sum of 180°

180 - 40 = 140

Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.

140 / 2 = 70

Now that we know that the measurement of the two base angles is 70, we can find h.

2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.

180 - 70 = 110

Now, we can divide 110 by 2 to find h.

110 / 2 = 55

So, h equals 55. So, the answer is the third option.

Answer:

n = 20/3

Step-by-step explanation:

Theory about the discriminant, and how solutions are acquired via the quadratic formula

One variable quadratic equations in the form \(0=ax^2+bx+c\) have exactly one solution when the discriminant \((b^2-4ac)=0\).

This is because for quadratic equations of the original form, the two solutions are given by the quadratic formula:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

which is equivalent to \(x=\dfrac{-b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\).

The \(x=\dfrac{-b}{2a}\) is the axis of symmetry, and the \(\dfrac{\sqrt{b^2-4ac}}{2a}\) part is how much the solutions deviate from the axis of symmetry.  If the deviation is zero, then the two solutions are both ON the axis of symmetry, and are the same number, giving exactly one solution.

Addressing the given equation

Putting it into standard form

Given the given equation...

\((n-4)u^2+6=8u\)

subtract 8u from both sides to obtain an equation that looks like the standard form equal to zero...

\((n-4)u^2-8u+6=0\)

The variable here is "u" instead of "x", so the solutions to this equation would be \(u=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\), where \(a=n-4\), \(b=-8\), and \(c=6\).

Identifying the discriminant

The discriminant then, with values of a, b, and c, substituted, becomes:

\(Discriminant=(-8)^2-4(6)(n-4)\)

If we want the discriminant to equal zero (so that there is exactly one solution for "u"), substitute zero on the left side of the equation, and solve for n.

Solving for n

\(0=(-8)^2-4(6)(n-4)\)

\(0=64-4(6)(n-4)\)

\(0=64-24(n-4)\)

Add -24(n-4) to both sides...

\(24(n-4)=64\)

Divide both sides by 24...

\(n-4=\dfrac{64}{24}\)

Reduce the right hand side...

\(n-4=\dfrac{8}{3}\)

Add 4 to both sides...

\(n=\dfrac{8}{3}+4\)

Find a common denominator...

\(n=\dfrac{8}{3}+\dfrac{12}{3}\)

Find a common denominator...

\(n=\dfrac{20}{3}\)

So, if \(n=\dfrac{20}{3}\), then the equation \((n-4)u^2+6=8u\) has exactly one solution.  Furthermore, this is the only value of "n" for which the equation has exactly one solution, because it is the only value of "n" for which the discriminant is zero.

Answer step 1

Step-by-step explanation:

Trust me

Answer:

Its A.

Martin should have multiplied 150 by 8

Step-by-step explanation:

I think.

I hope this helps

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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the question says stalk of corn grew 42 inches in a week

so we should get the unit ratio in inches per day

recall that,

we have 7 days in a week

so,

per day (one day) = 42 inches/7 days

= 6 inches/1 day

The price of a pair of gloves is $6.

The first step is to determine the total amount spent on sports equipment.

Amount spent on sports equipment = 25 % x $300

0.25 x $300 = $75

Now, calculate the amount spent on the racket and a pair of ski.

Amount spent on the racket and ski = $30 + $30 = $60

The third step is to determine the amount that is left to purchase the tennis balls and the gloves.

Amount left = $75  $60 = $15

Let the price of gloves be represented with x

Price of balls = 2x - 3

2x -  3 + x = $15

3x = $18

x = 18 / 3

x = $6

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Answer: B or C sorry if its wrong and sorry if i got u wrong

Step-by-step explanation:

have a nice day

Answer: It would take him 15 days to load 390 pallets.

Step-by-step explanation: 26×15=390 Hope this helps   :-)

Answer:

\(1\ inch = 2\ feet\)

Step-by-step explanation:

Given:

\(Real\ tank\ measurement\ = 24\ feet\)

\(Scale\ measurement\ = 12\ inches\)

Required:

Scale Ratio.

To get the scale ratio, we simply divide the actual measurement by the scale measurement

This is done as follows:

\(Scale\ Ratio = \frac{Actual\ Measurement}{Scale\ Measurement}\)

\(Scale\ Ratio\ = \frac{24\ feet}{12\ inches}\)

[Divide numerator and denominator by 12]

\(Scale\ Ratio\ = \frac{2\ feet}{1\ inch}\)

[Convert the above expression to ratio]

\(Scale\ Ratio = 2\ feet : 1\ inch\)

The interpretation of this is that 1 inch on the scale measurement represent 2 feet on the actual measurements

The opponent to Citizens United v. Federal Elections Commission (2010) would most likely argue that corporate and special interest influence in elections should be limited to prevent corruption and maintain a fair and level playing field for all candidates.

The opponent to Citizens United v. Federal Elections Commission (2010) would most likely argue that the decision to allow unrestricted corporate and special interest spending in elections has had a negative impact on the integrity of the democratic process. They would point to the increased influence of money in politics and the dangers of corruption that come with it. They would argue that the decision has allowed wealthy entities to have an outsized influence in elections, creating an unfair and unequal playing field for candidates. Furthermore, they would argue that the decision has weakened the regulation of campaign spending and has allowed for the creation of so-called "dark money" groups, which can spend money on elections with little to no transparency. In short, the opponent to Citizens United v. Federal Elections Commission (2010) would argue that allowing unlimited corporate and special interest spending in elections has created an unequal playing field and should be limited in order to protect the integrity of the democratic process.

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Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

Y(0,13)

X(13,0)

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)

\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)

\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)

\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)

\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)

\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)

If 3 people take the day off, they will need (9 + 3/5) hours to mow the lawn. The correct option is B.

Let's say that each person works at a rate R.

8 people can mow the lawn in 6 hours, then we can write:

(8*R)*6 hours = 1 lawn.

Solving for R:

R = (1/48 lawns per hour).

If 3 people take the day off, then the lawn is mowed by 5 people in a time T, then we need to solve:

(5*R)*T = 1 lawn.

Replacing the value of R:

(5/48 lawns per hour)*T = 1 lawn.

Then we have:

T = (48/5) hours.

We can rewrite that as:

T = (45/5 + 3/5) hours

T = 9 + 3/5 hours.

Then we conclude that the correct option is B.

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Answer: The answer is 42

Step-by-step explanation: how I got 42 is I made that shape into a rectangle then I counted the boxes inside then I got 42.

Answer:

y = - \(\frac{2}{3}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - \(\frac{2}{3}\) x + 1 ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

• Parallel lines have equal slopes , then

y = - \(\frac{2}{3}\) x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - \(\frac{2}{3}\) x - 2 ← equation of parallel line

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

Answer:

Step-by-step explanation:

x+y = -17

x-y = 41

------------

2x = 24

x = 12

y = -x-17 = -29