hey can someone pls help me with this drag and drop assignment? I’ll appreciate it :)

f(n) = f(n-1) + 3

substitute n= 2 in the above

f(2) = f (2-1) + 3

= f(1) + 3

= 5 + 3

= 8

substitute n = 3 in the formula

f(3) = f(3-1) + 3

= f(2) + 3

= 8 + 3

= 11

substituite n = 4

f(4) = f(4-1) + 3

= f(3) + 3

= 11 + 3

= 14

The first four terms are 5, 8, 11 and 14

Given that

The figure is given on the coordinate plane. And we have to find the vertices of the figure after a 90-degree clockwise rotation.

Explanation -

So the figure will be rotated from its position clockwise as

Since the given points are J(-9, -8)

K(-2, -8)

L(-2, -3)

M(-9, -3)

After rotating the points will be

J(

K(-7, -3)

L(-2, -3)

M(-2, 4)

22.187 mi

1 mi = 5280 ft

22.187 mi = 22.187 x 5280 ft = =117147.36 ft

Answer:

117,147.36 ft

The general equation of a vertex of a parabola is given by

If we compare the general equation with that given in question 2

We can infer that

Thus, the vertex is

To determine if it is maxima or minima, we will use the graph plot

We can observe that we have a minimum value.

Usually, we can determine this also from the value of a.

If a is negative, we have a maxima

If a is positive, we have a minimum

The value of a =2 (Positive)

Hence, we have a minimum

Explanation:

Definition or rational roots theorem:

Rational root theorem is used to find the set of all possible rational zeros of a polynomial function (or) It is used to find the rational roots (solutions) of a polynomial equation

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate algebra Use the rational zeros theorem to find all the real zeros of the polynomial function.

Rational Zero Theorem. If a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form ± p / q, where p is a factor of the constant term and q is a factor of the leading coefficient.

Hence,

The final answer is TRUE

since 349 can be also written as 300+40+9

write the number like so in the multiplication

apply the distributive property

Let's define the next variables

x: amount of money invested in one account

y: amount of money invested in the other account

Milan had $10,000 to invest, then

x + y = 10000 (eq. 1)

The interest Milan gets after one year are: 0.06x and 0.09y. He received a total of $840 in interest, then

0.06x + 0.09y = 840 (eq. 2)

Isolating x from equation 1:

x = 10000 - y

Replacing this result into equation 2,

0.06(10000 - y) + 0.09y = 840

0.06(10000) - 0.06(y) + 0.09y = 840

600 + 0.03y = 840

0.03y = 840 -600

0.03y = 240

y = 240/0.03

y = 8000

Then,

x = 10000 - y

x = 10000 - 8000

x = 2000

He invested $2000 in the account that paid 6% simple interests per year and $8000 in the account that paid 9% simple interests per year

The value of x is 16.64.

Given that 14 is tangent to the circle and 9 is a radius, this is a right triangle.

From the figure, we have

Using the Pythagoras theorem,

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

By taking the square root of each side, we get

sqrt(277) = sqrt(x^2)

sqrt(277) =x

x = 16.64

Pythagoras theorem:

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem. In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas.

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Given the sentence:

The y-value is three less than twice the X-value.

Let's write the sentence as an equation then graph the equation.

The equation that represents the sentence is:

y = 2x - 3

To graph the eqautaion, let's find and plot three points, then connect the points using a straight edge.

• When x = 1:

Substitute 1 for x and solve for y.

y = 2(1) - 3

y = -1

• When x = 2:

Substitute 2 for x and solve for y.

y = 2(2) - 3

y = 4 - 3

y = 1

• When x = 3:

Substitute 3 for x and solve for y.

y = 2(3) - 3

y = 6 - 3

y = 3

• When x = 0:

y = 2(0) - 3

y = -3

Thus, we have the points:

(1, -1), (2, 1), (0, -3), and (3, 3)

The graph is attached below.

ANSWER:

Equation: y = 2x - 3

Given data:

The original cost of dinner C=$20.00.

The sale price is 80% of the original cost.

Thus, the final sale price is $16.00.

It is known that 1 meter = 1000millimeter.

Therefore, 16 meters = 16X 1000 millimeters

16 meters = 16, 000 millimeters.

Hence, option D is the correct answer.

Solution

- The solution steps are given below:

Answer

The answer is -8

Let the function be,

Put -3 for x in the function to find f(-3) implies,

Thus, f(-3) is 24.

The amount of each payment to 2 decimal places = $90406.80

Explanation:

t = 18 year

Principal = P = $18,000

r = 9% 0.09

Using compound interest formula:

n = number of times it was compounded in a year.

since it is monthly, n = 12

The amount of each payment to 2 decimal places = $90406.80

Solution

For this case we have the following function given:

y=f(x)= x

And we want to find the inverse so we can do the following steps:

1) replace y with x

x= y

2) solve for y

y = x

Then the folution would be:

A) f-1 (x) =x

ok

5/6 = 0.833333 or

The line means that number three is repeated till infinty

we have the equations

x^2+y^2=9

this is the equation of a circle centered at the origin with a radius of 3 units

y=x

this is the equation of a line

therefore

1) The first thing we need to do in this question, is to find the sample space, i.e. the total number of outcomes, in this case, fishes.

2) Since no one could pick simultaneously two types of fish, then we can tell that these events are mutually exclusive. So, we can write the following:

Note that by "drum" we are including black and red drum.

That is the answer.

Law of Cosines.

- For a triangle ABC with sides labeled a,b, and c:

Since we are asked to look for angle B, we will use

Given:

a = 12 cm

b = 8 cm

c = 15 cm

Substituting the given values to our equation:

Since we are asked to round the answer to its nearest tenth, the final answer would be 32.1 degrees.

The given points are

(352, 150)

(352, 175)

(456, 150)

(456, 175)

Each point represents one vertex of the rectangle.

The points that have the same x-coordinate are in the same vertical line, this means that the diference between the y-coordinates of the point determine the length of the width of the rectangle.

Since is a rectangle both vertical sides are equal.

Using the points

(352, 150)

(352, 175)

You can calculate the width as:

The points that have the same y-coordinate are in the same horizontal line, if you calculate the difference between the x-coordinates of said points, you can determine the length of the rectangle.

Using the points

(456, 150)

(352, 150)

You can calculate the length as

So the rectangle has a length of 104 and a width of 25. Using these values you can calculate the area:

step 1

Divide 2250 degrees by 360 degrees

so

2,250/360=6.25

that means

6 complete circles and 0.25 circle

0.25 circle is equal to 90 degrees and she is facing East

If figure the skater is facing north when she begins to spin to her right. She spins at 2250 degrees. She faces the east direction when she finishes her spin.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that, a figure skater is facing north when she begins to spin to her right. She spins at 2250 degrees.

Since one rotation of the circle form 360 degree.In order to find the angle when she finishes her spin is,

=2,250/360

=6.25

6.25 shows that 6 complete circles and 0.25 circles and 0.25 circle is equal to 90 degrees and she is facing East.

Thus, if figure the skater is facing north when she begins to spin to her right. She spins at 2250 degrees. She faces the east direction when she finishes her spin.

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There are 200 perfect squares less than 1000 that have a ones digit of 2,3 or 4.

To check that perfect squares that have a ones digit of 2,3 or 4 :

First we will check the squares of 0-10 numbers.

[tex]0^{2} = 0[/tex]                        [tex]1^{2} = 1[/tex]                             [tex]2^{2} = 4[/tex]

[tex]3^{2} = 9[/tex]                        [tex]4^{2} = 16[/tex]                           [tex]5^{2} = 25[/tex]

[tex]6^{2}=36[/tex]                      [tex]7^{2}=49[/tex]                            [tex]8^{2}=64[/tex]

[tex]9^{2}=81[/tex]                      [tex]10^{2}=100[/tex]

As we can see, only 2,8 have the squares which have 2,3 or 4 at ones place.

So, only numbers like 12,18,24,28.........,998 have a ones digit of 2,3 or 4.

Hence, there are 200 perfect squares less than 1000 that have a ones digit of 2,3 or 4.

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Answer: 6

Step-by-step explanation:

We can use brute force for this, because there are 31 numbers to try(32^2 is 1024, which is over 1000).

To begin with, there is no number that ends in 2 or 3 in the first 10 squares. If we move onto the ones digit of 4, we can see that:

2

8

12

18

22

28

Are the only numbers which end in a 4.

We add these up and we get the answer of 6.

Arranging the diameter in the ascending order,

1.31, 1.31, 1.33, 1.36, 1.43, 1.47, 1.48, 1.49, 1.49, 1.53, 1.53, 1.53, 1.58, 1.68, 1.69.

There are 15 data entry in the given data set.

The 78th percentile can be determined as,

Thus, the 12th data entry in the ascending order has 78th percentile. 1.53 is the required diameter.

For the given table representing the probability distribution, the probability of watching 2 movies is unknown.

The sum of all probabilities should be equal to 1. We can use that to calculate the unknown probability:

Adding all probabilities and equating to 1:

Solving for P(x=2)

Then: A. The probability of watching 2 movies next month is 0.13.

The complete table of probability distribution will look like this:

xP(x)

00.1

10.15

20.13

30.35

40.14

50.13

To calculate the probability of watching more than two movies we need to add the probabilities of watching 3, 4 or 5 movies. Those should be added because those are the cases where more than 2 movies are watched.

Then, B. The probability of watching more than 2 movies is 0.62.

The probability of watching 2 movies is equivalent to P(x>2) or P(x>=3).

On the other hand, to calculate P(X<4) or P(X<=3) we need to add the probabilities of watching 3 movies or less. That is, probabilities of watching 0, 1, 2 or 3:

The probability of watching 3 movies or less next month is 0.73.

To estimate how much we would expect to spend per month if we pay for each movie sepparately we need to calculate the expected value of movies per month.

We can estimate that with the probability distribution given in the table.

The expected value is the sum of the products between each event and their probabilities:

Let's call EV the expected value:

Then, we should expect to watch about 2.67 movies per month, on average.

I each individual movie costs $3.99, then, the total expenses per month will be:

Then, C. According to the given probability distribution, we should expect to watch about 2.67 movies per month, on average, and spend in total $10.65 per month. We would be spending more than we would if we selected the unlimited movies plan which costs only $7.99 per month, then, it would be wise to decide to change our subscription to that plan.

The points we have are:

(2,13) and (4,6)

I will label this points as follows:

To find the equation for this line, first we need to find the slope between the points with following slope formula:

Where m is the slope.

Substituting our known values:

Next, we need to use the point-slope equation:

And substitute our values, including the slope:

Using the distributive property to multiply -7/2 by x and by -2:

Answer:

In order to find the corresponding graph, let's find two points that are on the line.

To do so, let's choose values of x and then calculate the corresponding values of y:

So we have the points (0, 4) and (8, 0).

Looking at the options, the graph that has these points is the fourth graph.

SOLUTION

The diagram above satifies all the properties of a parallologram

Which are

But if from the rule of isoseleses triagle we can conclude that all the side of the figure above are equal

Hence the most specific description for GEFH is

Let the common sides have length x, i.e, we have 2 sides measuring x

the third side would measure 2x - 3.

The perimeter = x + x + 2x - 3 = 4x - 3 = 17

so, 4x = 17 + 3 ,

4x = 20

x = 20/4 = 5m

Therefore, the three sides are 5m , 5m and 2( 5 )-3 = 10 - 3 = 7m

We want to find the value of the given expression;

When x=5 and y=5;

Substituting these values in, we have;

Therefore, the answer to this question is zero.