in mathimativille, a speeding ticket is issued once someone goes over the post limit. The speeding fine is $75.00 plus $5.00 exceeding the post limit. write an equation to show the relationship between the fines (F) and the speed (S) over the posts limit.

1728 three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

Repetition: The act of repeating, or doing, saying, or writing something again; repeated action, performance, production, or presentation. repeated utterance; reiteration. something made by or resulting from repeating.

it is asked to find how many three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

if repetitions are allowed then there is chance for every alphabet to repeat

i.e., 12x12x12=1728

1728 three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

To learn more about repetitions visit:

brainly.com/question/15386448

#SPJ4

The total length of the tapes will be 21.762 inches solved using the concept of multiplication.

Given that paper is 8.06 inches long. each paper length is 8.06 inches long

we have some pieces of paper. She tapes 5.4 pieces together end-to-end what will the total length be?

here we will use the concept of multiplication.

Multiplication is a method of calculating the product of two or more numbers in mathematics. It is one of the most fundamental arithmetic operations that we use every day. Multiplication tables are the most common application.

The multiplication of two numbers in arithmetic represents the repeated addition of one number with respect to another. These can be whole numbers, natural numbers, integers, fractions, and so on. If m is multiplied by n, it means that m has been added to itself 'n' times or vice versa.

She tapes 2 pieces of paper together if we consider 1 paper then we can find the total length will be 8.06*5.4 = 43.524 now we have to divide by 2. final answer will be 43.524 /2 = 21.762.

So the Total length will be 21.762 inches.

To know more about multiplication here:

https://brainly.com/question/5992872

#SPJ4

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

To know more about polynomial function refer here:

https://brainly.com/question/29054660#

#SPJ11

Answer:

The volume of the prism is 243 cm³

Step-by-step explanation:

The volume of the prism is V = B × H, where

∵ The prism is a triangular prism

∴ Its base is a triangle

∵ The base of it is a right triangle

∴ Its area B = \(\frac{1}{2}\) b h, where b and h are the legs of the right angle

→ We have one leg of the right angle and the hypotenuse, so we

   must use the Pythagoras Theorem to find the other leg

∵ (5.4)² + h² = (7.8)²

∴ 29.16 + h² = 60.84

→ subtract 29.16 from oth sides

∴ h² = 31.68

→ Take √  for both sides

∴ h = 5.6284989 cm

→ Now find the area of the base

∵ B = \(\frac{1}{2}\) (5.4)(5.6284989)

∴ B = 15.196947 cm²

→ Let us use the rule of the volume above

∵ V = B × H

∵ H = 16 cm

∴ V = 15.196947 × 16

∴ V = 243.151153 cm³

→ Round it to 3 significant figures

∴ V = 243 cm³

∴ The volume of the prism is 243 cm³

A. 63

The angle shown is 90 degrees, if you take 90 and subtract 27 you get 63.

Answer:

14

Step-by-step explanation:

\( - 98 = - 7h \\ \\ - 98 \div - 7 = h \\ \\ 14 = h\)

Answer:

siskwksjsjsiwkwjjansaooakwkwiwiwo

Answer:

15 +36+39=90

Step-by-step explanation:

15+36+39=90[right angle triangle]

It has proved that the equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear and the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.

The equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear because it can be written in the standard form of a linear first-order ordinary differential equation, which is:
dy/dx + P(x) * y = Q(x)

In this case, we can divide both sides of the equation by \(e^{(x)}\) to obtain:
dy/dx = y * (dy/dx)

Now, we can compare this to the standard form and observe that P(x) = 0 and Q(x) = y * (dy/dx).

Since the equation is in the standard form, it is linear.

On the other hand, the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.

While it may seem similar to the standard linear form, the presence of the \(x^2 * e^{(x)} * y\) term is what makes it non-linear.

In a linear equation, the term involving y should be of the form P(x) * y, where P(x) is a function of x only.

However, in this case, the term \(x^2 * e^{(x)} * y\) involves both x and y, making the equation non-linear.

Learn more about linear equation:

https://brainly.com/question/2030026

#SPJ11

To find the percentage increase of the slave population from 1800 to 1860, we can use the following formula:

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

percentage increase = (new value - original value) / original value x 100

We know that in 1800 the slave population was 893,602 and in 1860 the slave population was 1,953,760. So we can plug in these values into the formula:

percentage increase = (1,953,760 - 893,602) / 893,602 x 100

percentage increase = (1,060,158) / 893,602 x 100

percentage increase = 1.1885 x 100

percentage increase = 118.85

So, the slave population increased by 118.85% from 1800 to 1860.

Learn more about percentage

brainly.com/question/24304697

#SPJ1

Answer:

the answer is 10

The constant term in the expression 5x + 10 is 10.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x + 10

5 is the coefficient of x.

10 is constant.

Thus,

The constant value is 10.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The measure of length RQ and RS are 3.

We have,

∠QRS = 90

QS = 3√2

Now,

In ΔQRS,

From trigonometry,

Where the two angles are 45 and one angle is 90.

We know that,

RS = 1

QS = √2

RQ = 1

But,

QS = 3√2

This means,

We multiply 3 on all sides.

So,

RS = 3

QS = 3√2

RQ = 3

Thus,

The measure of length RQ and RS are 3.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

Answer:

Slope = -4

Step-by-step explanation:

The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.

Answer:

11/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

44/60=22/30=11/15

11/15

(a) The probability that a randomly selected study participant has a height that is less than 56.5 inches is 0.004. This can be calculated using the Z-score formula, which is (x-mean)/standard deviation. (b) The probability that a randomly selected study participant has a height that is between 61 and 67 inches is 0.6826. This can be calculated by taking the difference of the Z-scores for the two points and subtracting the area under the curve for the lower value from the area under the curve for the higher value.

(c) The probability that a randomly selected study participant has a height that is more than 70.5 inches is 0.007. This can be calculated using the Z-score formula, which is (x-mean)/standard deviation. No unusual events are present in the data. The data follows a normal distribution, which is expected for the heights of adults. The mean and standard deviation are within the expected ranges, and the probabilities calculated by the Z-score formula are within normal ranges.

Know more about standard deviation here

https://brainly.com/question/23907081#

#SPJ11

Answer:

Answer is 41 ft

Step-by-step explanation:

From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h

Using Pythagora's theorem we have,

\( {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} \)

Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.

\(perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft\)

Therefore the perimeter of the triangle is 41 ft.

Answer:

x = 3

Step-by-step explanation:

By tangent secant segment theorem:

\(x \times 12 = 4 \times 9 \\ \\ \implies \: 12x = 36 \\ \\ \implies \: x = \frac{36}{12} \\ \\ \implies \: x = 3\)

Answer:

x=3

Step-by-step explanation:

By finding the intercept between the graphs of the equations, we can see that the solution of the system is (4, 0).

Here we have the system of equations:

3x − y = 12

x + 4y = 4

To solve it graphically, just graph both on the same coordinate axis and find the point where they intercept.

The graph of the system of equations is below. There we can see that the solution is (4, 0).

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

1500 g

Step-by-step explanation:

part a) is correct

part b)
The ratio of syrup to oats for one flapjack is 1:4

That means for each g of syrup you will require 4 g of oats

For 12 flapjacks you require 250 g

Therefore quantity of oats needed for 12 flapjacks = 250 x 4 = 1000 g

If you were to make 18 flapjacks then you would need 18/12 x quantity needed for 12 flapjacks

18/12 = 3/2  (dividing numerator and denominator by 6)

Quantity of oats needed for 18 flapjacks
= 18/12 x 1000

= 3/ 2 x 1000
= 3 x 500
= 1500 g

Answer:

8

Step-by-step explanation:

4(x-3)=20 8-3=5 4(5)=20

Answer:

the answer is 8 because 4 times 5 equals twenty and 8 minus 3 is 5. So 4(8-3)=20

Answer:

2/x

Step-by-step explanation:

It is improper to speak about the probability that the population mean is in a given confidence interval because a confidence interval is a statement about the precision of an estimate.

A confidence interval is constructed based on a sample from the population and is meant to provide an estimate of the range within which the true population parameter, such as the mean, is likely to fall. The confidence level associated with the interval represents the long-term success rate of the method used to construct the interval.

However, once the interval is constructed, it either contains the true population mean or it does not. The population mean is not a random variable that has a probability of being within a particular interval. Rather, it is a fixed but unknown value. Therefore, it is incorrect to assign a probability to the population mean being in a given confidence interval.

Instead, the correct interpretation of a confidence interval is that if the same sampling procedure were repeated many times, a certain percentage (represented by the confidence level) of the resulting intervals would contain the true population mean.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The null hypothesis is rejected whenever "there is a low probability that the obtained results could be due to random error." The correct answer is Option B.

The null hypothesis is a statistical hypothesis used to test the difference between two sample data groups. The null hypothesis is the hypothesis that the sample statistics are not significantly different. Any significant differences between the sample data are seen as supporting the alternative hypothesis.

A null hypothesis is often expressed as "no difference," "no correlation," or "no significant effect." For example, the null hypothesis for an experiment comparing two groups of people could be "there is no difference between the two groups." When the null hypothesis is rejected, it means that the results of the experiment are statistically significant, and the alternative hypothesis is supported.

Therefore, the null hypothesis is rejected whenever there is a low probability that the obtained results could be due to random error.

Learn more about null hypothesis here: https://brainly.com/question/29576929

#SPJ11

Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.

Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.

When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).

For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.

This is known as constructive interference.

On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.

This is known as destructive interference.

To know more about Interference visit:

https://brainly.in/question/54791961

#SPJ11

Answer:

x=-10

Step-by-step explanation:

4.5(8-x)+36=102-2.5(3x+24) first you multiply 10 to both sides

4.5(8-x)x10+36x10=102x10-2.5(3x+24)x10

Then you have to refine the equation

45(8-x)+360=1020-25(3x+24)

Then you expand it

45(8-x)+360

=360-45x+360

Simplify

360-45x+360 -45x+720

Expand it one more time

-45x+720=-75x+420

Subtract 720 from each side

-45x+720-720=-75x+420-720

Simplify

-45x=-75x-300

Add 75x to both sides

-45x+75x=-75x-300+75x

Simplify

Divide both sides by 30

30x/30=-300/30

Then you get -10

For the given figure:

According to the statements provided, we will name the lines that are parallel to each other:

1) ∠1 ≅ ∠3; The parallel lines are (c, d)

2) ∠6 ≅ ∠9; the parallel lines are (a, b)

3) ∠6 is supplementary to ∠10; the parallel lines are (a, b)

4) ∠1 ≅ ∠11: Not enough info

5) ∠5 is supplementary to ∠8; the parallel lines are (c, d)

6) ∠3 ≅ ∠11; The parallel lines are (a, b)

7) ∠1 ≅ ∠6; Not enough info

8) ∠1 ≅ ∠14: the parallel lines are (a, b)

9) ∠15 is supplementary to ∠16; Not enough info

10) ∠13 ≅ ∠15; the parallel lines are (c, d)

The population size at the end of 2017 is 8775.

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction.

To add, one must add two or more numbers or values to produce a new number. For instance, if we multiply 2 by 3 we get 5.

2 + 3 = 5

To subtract is to take away from another value in order to obtain the desired value.

For instance, 2 is the result when 3 is subtracted from 5.

5 – 3 = 2

Given that the population at the beginning of the 2017 is 8615.

There were 173 births, 69 deaths, 85 immigrants, and 29 emigrants, thus the new population is:

N = 8615 + 173 - 69 + 85 - 29

N = 8775

Hence, the population size at the end of 2017 is 8775.

Learn more about addition here:

https://brainly.com/question/29464370

#SPJ1

Answer:

x = 3

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.