Josiah cell phone plan allows a number of minutes of air time for $20 a month each minute costs 0.02 $ how many minutes of air time is he allowed?

The recursive formula which is used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75. The correct option is B.

Given the time spent by making a hat is shown in attached image.

We have to find the recursive formula which is used to satisfy the given condition.

A recursive formula relates each term in the sequence to the previous term in the sequence. This is different from the explicit expression.

As it is given that f(1)=1.5, f(2)=2.2.5, f(3)=3.0 and f(4)=3.75

According to the definition of recursive formula, we will firstly find the difference between f(2) and f(1), we get

f(2)-f(1)=2.25-1.5

f(2)-f(1)=0.75

f(2)=f(1)+0.75,

Now, we will find the difference between f(3) and f(2), we get

f(3)-f(2)=3.0-2.25

f(3)-f(2)=0.75

f(3)=f(2)+0.75,

Similarly, we will find for others.

.....

f(n+1)=f(n)+0.75

This is the arithmetic sequence with common difference 0,75.

Hence, according to the question, the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75.

Learn more about the recursive formula from here brainly.com/question/1980730

#SPJ4

Answer:

The answer is 48, I hope this helps!

Step-by-step explanation:

would you like me to explain?

So the integral to find the volume of the solid is: ∫∫∫dV = ∫0^2 ∫0^2π ∫ρ2^(4-ρ^2) dz dθ dρ

The solid enclosed by the paraboloids y = x2 + z2 and y = 8 − x2 − z2 can be visualized as the region between two "bowl-shaped" surfaces that intersect at the origin. To find the limits of integration for this solid, we need to determine the intersection curve of the two paraboloids.
Setting y = x2 + z2 equal to y = 8 − x2 − z2, we get:
x2 + z2 = 8 − x2 − z2
Simplifying this equation, we get:
2x2 + 2z2 = 8
Dividing both sides by 2, we get
x2 + z2 = 4
This is the equation of a circle centered at the origin with radius 2 in the xz-plane. We can use cylindrical coordinates to describe the solid:
- The limits of integration for ρ will be from 0 to 2, since that's the radius of the circle.
- The limits of integration for θ will be from 0 to 2π, since we want to sweep around the circle completely.
- The limits of integration for z will be from x2 + z2 to 8 − x2 − z2. Since the intersection curve is a circle centered at the origin, we can write this as z = 4 − ρ2.
So the integral to find the volume of the solid is:
∫∫∫dV = ∫0^2 ∫0^2π ∫ρ2^(4-ρ^2) dz dθ dρ

To know more about integral visit:-

https://brainly.com/question/18125359

#SPJ11

Answer:

\(\frac{9\pm\sqrt{61}}{2}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)

To calculate the number of ways to arrange the books on a shelf, we can use the formula for permutations.

The formula for permutations is  \(\frac{n!}{(n-r)!}\)  

where:  n is the total number of items

              r is the number of items being selected.

a. In this case, there are 8 books total (3 blue + 3 green + 2 red), and we are arranging all of them.

so n= 8 and r = 8, the number of arrangements is

\(\frac{8!}{(8-8)!}\) = 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 =  40320

So the answer to (a) is 40320.

b. To calculate the number of arrangements if the books of the same color are grouped, we can consider each group as one item.

There are 3 groups (blue, green, red), and we are arranging those

so n = 8 and r = 3.

Hence, the number of arrangements is

\(\frac{8!}{(8-3)!}\) = \(\frac{8!}{5!}\) = \(\frac{8x7x6x5x4x3x2x1}{5x4x3x2x1}\) = 336

So the answer to (b) is 336.

More about Permutation here

https://brainly.com/question/1216161

#SPJ4

If there are 25 people and a profit of $325, we solve the system of equations to find that there were 10 children and 15 adults.

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

For our system, we say that:

Total of 25 people, thus:

\(x + y = 25 \rightarrow x = 25 - y\)

Profit of $325, thus, considering that each ticket for a child costs $10 and for an adult $15:

\(10x + 15y = 325\)

Since \(x = 25 - y\)

\(10(25 - y) + 15y = 325\)

\(5y = 75\)

\(y = \frac{75}{5}\)

\(y = 15\)

\(x = 25 - y = 25 - 15 = 10\)

There were 10 children and 15 adults in the visit.

A similar problem is given at https://brainly.com/question/17096268

Answer:Complete the question pls

Step-by-step explanation:

The distance that exists from the point Z is given as 150,75 feet

The larger triangle is represented by the letters B, A, and C, and the smaller triangle is located here. These points are denoted as z and y, respectively, therefore we have supplied The value of b y is 201. A c equals 512 r, p equals 384 feet, and the z  must now be located. Triangles c, a, and b are simply comparable to triangles r, p, and q, which means that a c upon r p

To solve the problem we have

Δ RPG = ΔCAB

Δc / ΔB = by / zq

ZQ = BY * RP / Ac

= 201 * 384 / 512

= 150 . 75 FEET

Read more on distance here:https://brainly.com/question/2854969

#SPJ1

a police officer is determining where to park his vehicle in order to observe traffic at the red light. if AC=512 feet, RP= 384 feet, and point Y is 201 feet from point B, how far is point Z from point Q

A: To determine when the lizard is back on the water, we need to find the time when the height (h) is equal to 0. So we set the equation -12t^2 + 6t = 0 and solve for t.

-12t^2 + 6t = 0

Factor out common terms:

-6t(2t - 1) = 0

Set each factor equal to 0:

-6t = 0 or 2t - 1 = 0

Solving each equation:

-6t = 0 --> t = 0

2t - 1 = 0 --> 2t = 1 --> t = 1/2

So the lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: The height of each jump can be determined by substituting the time (t) values into the equation h = -12t^2 + 6t.

For t = 0 seconds:

h = -12(0)^2 + 6(0)

h = 0

For t = 1/2 seconds:

h = -12(1/2)^2 + 6(1/2)

h = -12(1/4) + 6/2

h = -3 + 3

h = 0

So each jump has a height of 0 feet.

C: To find the time it takes to reach the highest point, we need to find the vertex of the parabolic equation -12t^2 + 6t. The time at the vertex represents the highest point.

The formula for the x-coordinate of the vertex of a quadratic equation in the form ax^2 + bx + c is given by -b/(2a). In this case, a = -12 and b = 6.

t = -6/(2(-12))

t = -6/(-24)

t = 1/4

So it takes 1/4 seconds to reach the highest point.

Therefore, the answers are:

A: The lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: Each jump has a height of 0 feet.

C: It takes 1/4 seconds to reach the highest point.

Answer:

a) x=-2 then y=10

   x=-1 then y=5

   x=1 then y=1

   x=3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

a) We have the formula \(y=x^{2} -2x+2\)

Instead of x, we will plug in the given value to find y.

If x=-2:

\(y=(-2)^{2} -2*(-2) +2\\y=4+4+2\\y=10\)

If x=-1:

\(y=(-1)^{2} -2*(-1)+2\\y=1+2+2\\y=5\)

If x=1:

\(y=1^{2} -2*1+2\\y=1-2+2\\y=1\)

If x=3:

\(y=3^{2} -2*3+2\\y=9-6+2\\y=5\)

b) We know when x=0 then y=2

We need to move two boxes up to get to y=4

We can estimate that x = -0.75;x=2.75

We are supposed to round it to the 1. decimal place.

x=-0.8;x=2.8

Answer:

a) x=-2 then y=10

  x=-1 then y=5

  x=1 then y=1

  x3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

your formula

Answer:

54.07

Step-by-step explanation:

Answer:

Step-by-step explanation:Okay so first you have to find out if -2 is your growth or y-axis.Your y-axis is when the line hits the up and down graph line.Your -2 is most likely your growth now you need to create a starting point it can be 10 for example then you would subtract 2 from it everytime you place a new dot like (0,10) and then (1,8) and so on.If u make a table the x will be on the left side this is where u will put the number 0,1,2,3.for everytime you make a dot on the graph.

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

To learn more about range

https://brainly.com/question/16444481

#SPJ11

To Approximate the length of a marsh,

A Surveyor walks 430 meters from point A to point B,

Then turns 75° and walks 220 meters to point C.

We need to find the Length AC of the marsh.

To find the length AC of the marsh, we will use the Law of Cosines.

The Law of Cosines is given by the Formula: c² = a² + b² - 2ab cos(C)

Where c is the length of the side opposite the angle C,

And a and b are the lengths of the other two sides.

We know that AB = 430 m and BC = 220 m, and the angle ABC is 75°.

Applying the Law of Cosines, we have:AC² = AB² + BC² - 2AB(BC)cos(ABC)AC² = (430)² + (220)² - 2(430)(220)cos(75°)AC² = 184900 + 48400 - 2(430)(220)(0.2588190451)AC² = 245940.63

Therefore, AC = √245940.63AC = 495.91 m (rounded to two decimal places)

Therefore, the length of the marsh is approximately 495.91 meters.

to know more about Law of Cosines visit :

brainly.com/question/30766161

#SPJ11

The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

Learn more about conditionals here:

https://brainly.com/question/17388479

#SPJ8

Answer:

4

Step-by-step explanation:

I used a calculator

Answer:

area of triangle=1/2×base×height

area of triangle =1/2×4×2

area lf triangle =4 unit²

The new dimensions of the lot is length = 22 meters and width = 20 meters

The corner lot that originally was square

Consider the  side of the lot = x

The area of the square = Length × length

Therefore,

x × x = \(x^2\)

one of the adjacent streets which is widened by 3 m and the other was widened by 5

Therefore

(x-3) × (x-5) = \(x^2\) - 185

open the brackets

\(x^2-5x-3x+15=x^2-185\)

The x square term will cancel each other

-5x-3x = -185-15

-8x = -200

x = 25 meter

The new length of the lot = x-3

= 25-3

= 22 meter

The new width of the lot = 25-5

= 20 meters

Hence, the new dimensions of the lot is length = 22 meters and width = 20 meters

Learn more about square here

brainly.com/question/1658516

#SPJ1

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

Parsing and leftmost derivation for the statement A=D+D*(B*(C+A)) using the given grammar. The parse is attached with the answer.

<assign> => =<expr>

        => =<expr> + <expr>

        => =<id> + <expr>

        => =D + <expr>

        => =D + <expr> * <expr>

        => =D + <id> * <expr>

        => =D + B * <expr>

        => =D + B * (<expr>)

        => =D + B * (<expr> + <expr>)

        => =D + B * (<id> + <expr>)

        => =D + B * (C + <expr>)

        => =D + B * (C + <id>)

        => =D + B * (C + A)

The parse tree for the statement A=D+D*(B*(C+A)) is as follows.

Correct Question :

Using the below grammar, show a parse tree and a leftmost derivation of the following statement:

A=D

+D∗

( B*

(C+A)) Grammar:

< assign >→=< expr >

< id >→B∣C∣D

< expr >→+

∣< id ><

∣(< expr >)

∣< id >

To learn more about derivation here:

https://brainly.com/question/25324584

#SPJ4

Answer:

3321

Step-by-step explanation:

6+5=11

11*6=66

11*5=55

66+55=121

3200+121=3321

Answer:

Step-by-step explanation:

∠EMC  = ∠EMD + ∠DMC

∠EMC = 90

∠EMD + ∠DMC = 90

∠EMD + 20 =90

∠EMD  = 90 - 20

∠EMD  = 70

∠FMD + ∠DMB = 180  {Linear pair}

90 + ∠DMB = 180

        ∠DMB = 180 - 90

       ∠DMB = 90

The sum of the interior angles of a nonagon (a 9-sided polygon) is 1,450°.

1. The interior angles of a polygon can be calculated by subtracting 2 from the number of sides, then multiplying the result by 180°.

2. For a nonagon (a 9-sided polygon), the calculation is

(9-2) × 180° = 1,450°.

The sum of the interior angles of any polygon can be calculated using the formula

(n-2) × 180°,

where n is the number of sides of the polygon. This formula works because the sum of the interior angles of any polygon is always equal to (n-2) times the measure of a single interior angle. For a nonagon, a 9-sided polygon, the calculation is

(9-2) × 180° = 1,450°.

This means that the sum of the interior angles of a nonagon is 1,450°.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Answer:

Step-by-step explanation:

-x+4y=16

-x=16-4y

x=(16/-1)-(4y/-1)

x=-16+4y

Answer:

x= -16+4y

Step-by-step explanation:

You first have to isolate x. To do so you subtract 4y on both sides. (-x= 16-4y) Now to make x positive you divide by -1 on both sides. (x= -16+4y) This leads us to our answer which is (x= -16+4y).

If you liked my answer please mark it as the brainliest it would be much appreciated. Thanks! :D

The general solution of the homogeneous equation is:

y_h(x) = c1 * e^(2x) * cos(2x) + c2 * e^(2x) * sin(2x), where c1 and c2 are constants.

Find the solution of the equation when f(x) = 0:

To find the solution when f(x) = 0, we need to solve the homogeneous equation:

y'' - 4y + 8y = 0.

The characteristic equation for this homogeneous equation is:

r^2 - 4r + 8 = 0.

Solving this quadratic equation, we find two complex conjugate roots:

r = 2 + 2i and r = 2 - 2i.

Therefore, the general solution of the homogeneous equation is:

y_h(x) = c1 * e^(2x) * cos(2x) + c2 * e^(2x) * sin(2x), where c1 and c2 are constants.

Find the form of a particular solution when f(x) = x^2 + cos(x) - exp(2) * sin(2x):

To find a particular solution, we assume a particular solution of the form:

y_p(x) = A * x^2 + B * cos(x) + C * sin(x) + D * exp(2x) * cos(2x) + E * exp(2x) * sin(2x).

Now, we substitute this particular solution into the original differential equation and solve for the coefficients A, B, C, D, and E.

Find a particular solution when f(x) = sin(2x):

Following the same method as in part 2, assume a particular solution of the form:

y_p(x) = A * sin(2x) + B * cos(2x).

Substitute this particular solution into the original differential equation and solve for the coefficients A and B.

Question 2:

To provide the recurrence formula and the 6 first terms of the power series solution, we need the full equation. The given equation seems to be incomplete or has some typographical errors. Please provide the complete equation for a more accurate answer.

Question 3:

Find the eigenvalues and eigenvectors of the matrix A = [[-2, 4, 4], [4, -2, 4], [4, 4, -2]]:

To find the eigenvalues, we solve the characteristic equation |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix.

The characteristic equation becomes:

|[-2-λ, 4, 4], [4, -2-λ, 4], [4, 4, -2-λ]| = 0.

Solving this equation, we find three eigenvalues: -6, 2, and 2.

To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI)v = 0 and solve for the eigenvectors v.

Find a fundamental set of real-valued solutions of the system:

To find a fundamental set of solutions, we need to find linearly independent eigenvectors corresponding to the eigenvalues.

For each eigenvalue, solve the system (A - λI)v = 0 to find the eigenvectors. The number of linearly independent eigenvectors should match the number of distinct eigenvalues (3 in this case).

Once you find the eigenvectors, they form a fundamental set of solutions for the system X'(t) = AX(t).

To learn more about equation visit;

https://brainly.com/question/10413253

#SPJ11

The null and the alternative hypotheses for "Test if the mean weight of cereal in a cereal box differs from 18 ounces." is H0: μ = 18; HA: μ ≠ 18. So the option 2 is correct.

We need more details about the particular test or experiment being undertaken in order to determine the null and alternative hypotheses.

The alternative hypothesis (HA) is a claim that disputes the null hypothesis and implies the existence of an effect or difference, whereas the null hypothesis (H0) asserts that there is no effect or difference.

The following alternative and null hypotheses are appropriate for the test:

H0: μ = 18 (A box of cereal typically contains 18 ounces of cereal.)

HA: μ ≠ 18 (The average amount of cereal in a box varies from 18 ounces.)

As a result, option 2 accurately reflects the null and alternative hypotheses:

H0: μ = 18; HA: μ ≠ 18

To learn more about hypotheses link is here

brainly.com/question/28331914

#SPJ4

Answer:

Step-by-step explanation:

\(6.25\times (0.74)^{5}=\)

Answer:

The answer is 1.38687914 but if you round it to the nearest tenth then it is 1.4

Step-by-step explanation: