To pay for a $23,600 motorcycle, Raphael made a down payment of $3300 and took out a loan for the rest .on the loan, he paid monthly payments of $364.77 for 5 years. what was the total amount Rafael ended up paying for the motorcycle including the down payment and monthly payments? how much interest did Raphael pay on the loan?

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

Answer:

An item in a set is called an element.

Step-by-step explanation:

I hope this helps.

Step-by-step explanation:

14 < 6×?

6×3=18

therefore anything above 3 multiplied by 6 would be greater in value than 14

Answer:

Option B

Step-by-step explanation:

We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;

\(a^2 + b^2 = c^2,\\( 1 )^2 + ( 2 )^2 = c^2,\\\\1 + 4 = c^2,\\c^2 = 5,\\\\c = ( About ) 2.2\)

Solution; Option B

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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a) The angles outside the side PQ measure 65° and 25°

The angles outside the side QR measure 85° and 95°

The angles outside the side PR measure 55° and 35°

b) The arc PR, PQ and PR measure 120°

a)

Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.

Let side PR of triangle intersects the quadrilateral at points M and N.

So, we get a triangle DMN outside the equilateral triangle.

Here, ∠DMN = 55°, ∠D = 90°

So, ∠MND = 180 - (90 + 55)

                 = 35°

Similarly,  side PQ of triangle PQR intersects the quadrilateral at points X and Y.

So, we get a triangle AXY outside the equilateral triangle.

From triangle PXM we get the measure of angle PXM which is 65 degrees.

As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°

∠A = 90°

So, ∠AYX = 180° - (∠A + ∠AXY )

                 = 180° - (90° + 65°)

                 = 25°

Let the side QR of triangle PQR intersects the quadrilateral at points L and K.

so we get new quadrilateral LKBC

In this quadrilateral ∠B = 90°, ∠C = 90°

From triangle QYL, we get the measure of angle QLY = 95°

So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)

So, the remaining angle LKC of quadrilateral LKBC would be,

∠LKC = 360° - (∠B + ∠C + ∠KLB)

∠LKC = 360° - (90 °+ 90° + 95°)

∠LKC = 85°

b)

We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

so, the measure of arc PR = 120°

the measure of arc PQ = 120°

the measure of arc RQ = 120°

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Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

Answer:

24 sq yds

Explanation:

9 sq ft per sq yd

24*9=216 sq ft

The general equation of a line in slope-intercept form, is:

Where m is the slope and b is the y-intercept.

Starting with the equation of a line in standard form:

To write this equation in slope-intercept form, we have to isolate y. First, substract Ax from both sides of the equation:

If B is different from 0, divide both sides by B:

On the other hand, if we start with

Answer:

p=1.50$ per pound

n=3.00$ per pound

6x1.5=9

3x3=9

9+9=18

Answer:

1,3,5

Step-by-step explanation:

go ahead report my answer because brainly is always reporting answers even if they are original and correct. undelete my answers brainly thats not fair. each one of us helps get the answers i matter too.

Answer:

x = -3

Step-by-step explanation:

I assume we're solving for x.

9x -5x = -12

Combine like terms.

4x = -12

Divide both sides by 4.

x = -3

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Answer:

The binomial distribution has the following properties: The mean of the distribution (μx) is equal to n * P . The variance (σ2x) is n * P * ( 1 - P ).

Step-by-step explanation:

Answer: The binomial experiment is the experiment that will satisfy the 4 conditions, a fixed number of trials. And each trial is independent of the others. There will be 2 outcomes. The probability of each of the outcomes remains constant from each trial. (trial to trial.) Is that your question?

Step-by-step explanation:

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

To do the division:

eliminating the decimals we can multiply both numbers by ten then we have:

Now we reduced the fraction to its simplest form:

Hence the division is equivalent to:

But we know that if we divided any number by a multiple of 10 the answer is the numerator put in the corresponding decimal place that the denominator tells us; in this case the hundreth place; therefore the answer is:

Answer:

A. is the appropriate answer to carl's proof

In UVW, if XY || VW then UX/XV= UY/ YW. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Carl wants to prove that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

We know that if two triangles are similar, then the ratio of the corresponding sides will remain constant.

Let the triangle UVW and XY is parallel to the side VW.

Then the triangle UVW and UXY will be similar triangle.

Then the ratio of their corresponding sides will be

UX / XV = UY / YW

In UVW, if XY || VW then UX/XV= UY/ YW.

Then the correct option is A.

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Answer:

Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.

Answer:

0.05 metre

5×10^5 kilometer

1.9685

We have the formula of the perimeter

where

l=length

w=width

l=3+4w

the equation of the perimeter is

then we need to clear w

for the length

l=119 ft

w=29ft

Sequence 1: 13, 16, 19, 22, 25, Sequence 2: 15, 13, 11, 9, 7 and Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7).

what is sequence?

An ordered list of numbers is a sequence. The three dots indicate that the established pattern should move forward.

A. Sequence 1: 13, 16, 19, 22, 25

Sequence 2: 15, 13, 11, 9, 7

Ordered Pair: (13, 15), (16, 13), (19, 11), (22, 9), (25, 7)

B. Sequence 1: 1, 5, 17, 53, 161

Sequence 2: 6, 15, 33, 69, 141

Ordered Pair: (1, 6), (5, 15), (17, 33), (53, 69), (161, 141)

C. Input (x) | Output

1 | 17,  2 | 19, 3 | 21, 4 | 23

D. Input (x) | Output

1 | 30, 2 | 15, 3 | 7.5

To find the outputs, we use the formula: output = 60 ÷ 2x.

For x = 1, output = 60 ÷ 2(1) = 30

For x = 2, output = 60 ÷ 2(2) = 15

For x = 3, output = 60 ÷ 2(3) = 7.5

E. Input (x) | Output

1 | 23, 2 | 30, 3 | 37, 14 | 102, 15 | 109, 16 | 116, 27 | 205, 70 | 498

To find the outputs, we use the formula: output = 16 + 7x.

For x = 1, output = 16 + 7(1) = 23

For x = 2, output = 16 + 7(2) = 30

For x = 3, output = 16 + 7(3) = 37

For x = 14, output = 16 + 7(14) = 102

For x = 15, output = 16 + 7(15) = 109

For x = 16, output = 16 + 7(16) = 116

For x = 27, output = 16 + 7(27) = 205

For x = 70, output = 16 + 7(70) = 498

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Step-by-step explanation:

values of d, g, and n :

d = 118°

g = 62°

n = 96°

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Step-by-step explanation:

If journal prices increased by 15% each year, after 15 years the total price increase would be calculated as follows:

(1 + 0.15)^15 = 2.25

So the total price increase over 15 years would be 225%. This matches the increase reported in the library's report, which concluded that the price increase was 15% per year

Answer:

Answer B

Step-by-step explanation:

In 47,602, the six is in the hundreds place.

We can divide 100/10 to get what place value it should be in. This gives us the tens place.

Now, we can see which number has a six in the tens place: Answer B, because sixty is 6 * 10.

Answer:

21.7feet

Step-by-step explanation:

To get the height of the pole we will use the pythagoras theorem as shown;

Given

Hypotenuse = 37ft

Adjacent = 30ft

Required

opposite= x

37^2 = x^2 + 30^2

x^2 = 37^2  - 30^2

x^2 = 1,369 - 900

x^2 = 469

x = √469

x = 21.65

x ≈ 21.7feet

Hence the value of x is 21.7feet

The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

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From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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To solve this equation for x, we need to isolate x to one side of the equal sign, this way:

x has a value of 10.