13.5 x 12.1 what does it equal

The money he would have after 20 years is $29,102.87

Compounding occurs when both the principal and the interest already accrued earns interest.

The formula for calculating future value:

FV = P (1 + r)^nm

$8000 x (1.0667)^20 = $29,102.87

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The following statements are true:

A:The car makes a complete revolution in 10 seconds

B:The maximum height of the Ferris wheel is 65 feet

A full rotation or turning around a focal point is referred to as a revolution. Revolution is the act of rotating around a fixed point or axis . Examples of this include the rotation of a planet around its star or a wheel around its axle.

A. The car makes a complete revolution in 10 seconds:

This can be deduced from the fact that the height of the Ferris wheel car returns to 35 feet after 10 seconds, which means that it has completed one full revolution.

B. The maximum height of the Ferris wheel is 65 feet:

This can be seen from the table, where the height of the Ferris wheel car reaches 65 feet at 2.5 seconds and 12.5 seconds.

C. If the car is loaded at 0 seconds, then the people are loaded at the lowest point of the Ferris wheel: This can be seen from the table, where the height of the Ferris wheel car is 35 feet at 0 seconds.

It is not possible to determine the radius of the Ferris wheel based on the given information alone.

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Answer:

B 24 inches

hope this helps UwU

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16

Step-by-step explanation:

Given: The equation x² = 5x + 4

We have to draw the the graph for the given equation.

Consider the given equation,

x^2 - 5x - 4 = 0  

The vertex of the parabola of the form f(x) = ax^2 + bx + c   is given by x = -b/2a

Here,

a= 1

b= -5

c= -4

vertex = x = 5/2= 2.5

Also, the y coordinate at x = 2.5 is,

y = (2.5)^2 -5(2.5)-4

y = -10.25

Thus the vertex of parabola is (2.5 , -10.25)

y - intercept is the point where x = 0

put x = 0 in given equation

f(x) = 0 - 0 -4

f(x) = -4

hence y intercept is at (0, -4).

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

x^2 - 5x - 4 = 0

by using quadratic formula,

x = -b ±√b² - 4ac/2a

x=5 ±√-5² - 4 (1)(-4)/2

x= 5±√41/2.

Hence with the obtained values the graph of the equation is obtained.

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The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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Answer:

i need this answer too

Answer:

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

Step-by-step explanation:

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.

In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units.

Answer:

Hence, n 3 −n=n(n+1)(n−1) is divisible by 6.

Step-by-step explanation:

The condition for any number to be divisible by 6 is that the number must be individually divisible by 3 and 2.

Check whether n 3−n is divisible by 3.

n3−n=n(n+1)(n−1)

When a number is divided by 3 then by the remainder theorem, the remainder obtained is either 0 or 1 or 2.

n=3p or n=3p+1 or n=3p+2, where p is some integer.

If n=3p, then the number is divisible by 3.

If n=3p+1, then n−1=3p+1−1=3p. The number is divisible by 3.

If n=3p+2, then n+1=3p+2+1=3(p+1). The number is divisible by 3.

So, any number in the form of n

3

−n=n(n+1)(n−1) is divisible by 3.

Check whether n

3

−n is divisible by 2.

When a number is divided by 2, the remainder obtained is either 0 or 1 by the remainder theorem.

n=2p or n=2p+1, where p  is some integer.

If n=2p, then the number is divisible by 2.

If n=2p+1 then n−1=2p+1−1=2p. The number is divisible by 2.

So, any number in the form of n

3

−n=n(n+1)(n−1) is divisible by 2.

Since, the given number n

3

−n=n(n+1)(n−1) is divisible by both 3 and 2. Therefore, according to the divisibility rule of 6, the given number is divisible by 6.

Answer:

Step-by-step explanation:

Let's simplify the equation first:

(n-3)(n+2)-(n-3)(n+8)

= n² - n - 6 - (n² + 5n - 24)

= n² - n - 6 - n² - 5n +24

= -6n - 18

Divisible means that the equation can be divided by 6 with no remainder.

If I divide the equation by 6, I get (-n-3)

It goes in evenly, therefore it is divisible by 6

Answer:

sept one

Step-by-step explanation:

Answer:

150×500=30, i got you man

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

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The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

Answer:

Since AB = BC,

3m + 5 = 4m - 10

m = 15

Answer:

a parallel line: is coplanar lines that never interact

a skew: is lines that are not on the same plane and never intersect

an interior angle: is interior lines that lie on the same side of transversal

an exterior angle: is a line that lies between parallel lines that are cut by transversal

a consecutive interior angle: is a line that lies on the same side both parallel lines and the transversal

a corresponding angle: lies in the region not between parallel lines that are cut by transversal

a tranversal: is a line that interacts 2 or more coplanar lines at 2 different points

Have a great day love!

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

x = 7

Step-by-step explanation:

Both equations have the same value, you have to solve for x

Let's make an equation:

2x-3   = x+4

Now you isolate one of the sides,, I will isolate the x on the first side so I will get rid of both x and 4

 2x - 3 = x + 4

-x           -x

=

x -3 = 4

Then you have to isolate x, so you add 3 on both sides

x - 3 = 4

   + 3 +3

x=7

So, the answer is x=7

Hope this helps!!

-Ketifa

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

For the zeros of the function, we have to solve h(r)=0, therefore:

then, the smaller r is -8 and the larger is -1.

Now, to find the vertex of the parabola, we can find the x-coordinate of the vertex from the general rule:

In this case, we have the following:

now that we have the x-coordinate of the vertex, we just evaluate the function on that point to find the y-coordinate of the vertex:

therefore, the vertex of the parabola is the point (-9/2,-49/4)

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

The answer choice which is a function among the given answer choices is; Choice B as they are all correct.

From conventional mathematics, a function from a set x to a set y assigns to each element of X exactly one element of Y.

The set of values x is called the domain of the function and the set of values y is called the codomain/range of the function.

Functions basically represents the idealization of how a varying quantity depends on another quantity.

It therefore follows from the paragraph above that all of the answer choices are functions.

Therefore, the answer choice which is a function among the given answer choices is; Choice B as they are all correct.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

See below.

Step-by-step explanation:

These work just like ordinary algebraic expresssions, except you have to remember always:  i^2 = -1    i squared is negative one!

(4 - 3i)(4 + 3i)   "FOIL" the expression to get 16 - 3i + 3i - 9i^2.  But i^2 = -1, so this is the same as 16 - 3i + 3i + 9.  Combine like terms.

Ans. 25

(4 - 3i)(i)  Distribute the i to the two terms of the binomial.

4i - 3i^2 = 4i - 3(-1)

Ans. 4i + 3

(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)

Ans. 24i -18

(6i)(i) = 6i^2 = 6(-1)

Ans. -6

(-5)(4 + 3i) = -20 - 15i   That's it; there's no i^2 to deal with.

Ans. -20 - 15i

(-5)(i)   = -5i  Again, that's all there is to it.

Ans. -5i

The value of x, in dollars, so that they have equal weekly pay is $18,000.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is a set of values that have the potential of coming out as outputs of a function.

We are given that Guy and Jim earn the same weekly pay.

Then g(x) = f(x)

So, 185 + .03x = 275 + .025x

Rearranging terms so that the x's are together and the constants are together:

0.005x = 90

∴ x =  18,000

Thus, the value of x, in dollars, so that they have equal weekly pay is $18,000.

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Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

Answer:

y = -4x + 3

Step-by-step explanation:

y - y₁ = m(x - x₁)

⇒ y - (-1) = -4(x - 1)

⇒ y + 1 = -4x + 4

⇒ y = -4x + 3

We have the following:

1.

There is no limitation on the input values, the domain is all real numbers.

2.

Yes, it has an axis of symmetry at the point (0,0)

3.

The graph point upward in the interval:

The graph point downward in the interval:

I will tackle this problem by dividing the figure into 4 visible rectangles and 1 L shaped figure which i will add together to get the total area.

Rectangle (1)= h×w =4×5=20 cm²

Rectangle (2)= h×l =4×5=20 cm²

Rectangle (3)= h×l =4×5=20 cm²

Rectangle (4)= h×w =4×5=20 cm²

L-shaped polygon which i will divide into 2 parts

Part 1's area: l×w= 5×5=25 cm²

Part 2's area: l×w= 10×5=50 cm²

Total area=(20+20+20+20+25+50)

Total area=155 cm²