please simplify this

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

Yes they both are equal

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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A. Probability Experiment F or G = {5, 6, 7, 8, 9, 10, 11, 12}

B. Probability Experiment F or G = {5, 6, 7, 8, 9, 10, 11, 12}

C. Probability Experiment P(F or G) = 8/12 = 0.667

The outcomes in F or G are the elements that are present in either F or G or both. Therefore, the list of outcomes in F or G is as follows:

F or G = {5, 6, 7, 8, 9, 10, 11, 12}

P(F or G), we count the number of outcomes in F or G and divide it by the total number of outcomes in the sample space.

Number of outcomes in F or G = 8

Total number of outcomes in the sample space = 12

P(F or G) = Number of outcomes in F or G / Total number of outcomes in the sample space

P(F or G) = 8/12 = 0.667 (rounded to three decimal places)

Using the general addition rule, we can express P(F or G) as the sum of the individual probabilities of events F and G minus the probability of their intersection.

P(F or G) = P(F) + P(G) - P(F and G)

P(F) = Number of outcomes in F / Total number of outcomes in the sample space = 5/12

P(G) = Number of outcomes in G / Total number of outcomes in the sample space = 4/12

P(F and G) = Number of outcomes in both F and G / Total number of outcomes in the sample space = 1/12

Substituting these values into the general addition rule:

P(F or G) = P(F) + P(G) - P(F and G) = 5/12 + 4/12 - 1/12 = 8/12 = 0.667 (rounded to three decimal places)

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The question is incomplete the complete question is :

A Probability Experiment Is Conducted In Which The Sample Space Of The Experiment Is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, Event F={5, 6, 7, 8, 9}​, And Event G={9, 10, 11, 12}. Assume That Each Outcome Is Equally Likely. List The Outcomes In F Or G. Find P(F Or G) By Counting The Number Of Outcomes In F Or G. Determine P(F Or G) Using The General

A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}​, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.

List the outcomes in F or G. Select the correct choice below​and, if​ necessary, fill in the answer box to complete your choice.

A. F or G = { _____ }

​(Use a comma to separate answers as​ needed.)

B. F or G = { }

Find P(F or G) by counting the number of outcomes in F or G.

P(F or G) =________

​(Type an integer or a decimal rounded to three decimal places as​ needed.)

Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.

​(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as​ needed.)

A. P(F or G)=_______+_______−________=_______

B. P(F or G)=_______+_______=________

Answer:

Step-by-step explanation:

Since the line segment RST is perpendicular to OM, the length of RT can be determined by using the Pythagorean Theorem.

Let RT = x

We know that:

OS = OM - OS = 7 cm

Using the Pythagorean Theorem, we can solve for x:

x^2 = OS^2 + RT^2

x^2 = (7 cm)^2 + x^2

2x^2 = 49 cm^2

x^2 = 24.5 cm^2

x = √24.5 cm = 4.94 cm

Therefore, the length of RT = 4.94 cm

In mathematics 4 is called a numerical term or a number.

A mathematical expression is a combination of two or more terms along with operator or symbols. Here, term defines the numbers and variables. variables are denoted by alphabets. When an expression contains only numbers and symbols then it is called numerical expression.

As example 1024 + 234 is a numerical expression.

4 is a whole number. In a mathematical expression 4 is a numerical term.

A numerical term can be acted as a constant or coefficient depending on the types of expression given.

Suppose we have an expression 2x + 3Y - 4 in where 4 is a number act as a constant term. In the other hand, we imagine an expression

16z- 3y + 4x -10 in where 4 is a number accompanied by variable x so 4 is the coefficient of x.

If we write a linear equation, y = 4X + 5

        here, 4 is the slope of equation

Whenever we write a square root of √16

                                                 we get 4

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Answer:

  f(-2) = 0

Step-by-step explanation:

The value of the function for a particular x-value can be read from the graph.

The graph is a map showing the value of f(x) for each value of x for which the function is defined. The x-values are identified by the numbers on the horizontal x-axis. The corresponding function values are found by referencing the vertical y-axis.

To find the function value f(x) for x=-2, we locate the vertical grid line marked with -2 at the x-axis. We then locate the point on the graph of the function where it crosses that vertical grid line. Tracking horizontally from that point to the vertical y-axis, we can read the function value from the vertical scale.

The attachment has a red arrow pointing to the intersection of the graph with the grid line x=-2. That point of intersection lies on the x-axis, where the y-value is 0. That means ...

  f(-2) = 0

__

Additional comment

On this graph, the axis crossing point (x=0, y=0) is not labeled. It is halfway between x=-1 and x=1. Similarly, it is halfway between y=-1 and y=1. Based on this and on experience with similar graphs, you can assume that the axis crossing has coordinates (x, y) = (0, 0).

as a simplified fraction, the answer is 4/77

as a decimal it is about 0.0519480519480519

The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

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Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

The circumference of Monka's bicycle wheel is times larger than the circumference of Kevin's tricycle wheel.

Monica's bicycle wheel circumference = 2π × 16

= 2 × 3.14 × 16

= 100.48

Kevin's tricycle wheel circumference = 2π × 8

= 2 × 3.14 × 8

= 50.24

Monica's bicycle wheel circumference is 100.48 inches.

Kevin's tricycle wheel circumference is 50.24 inches.

100.48 ÷ 50.24 = 2

Therefore, the circumference of Monka's bicycle wheel is two times larger than the circumference of Kevin's tricycle wheel.

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The equatiοn οf the least squares regressiοn line which mοst clοsely matches the data set is y = 3.5 x + 43.8

Tο sοlve fοr the data set, lets lοοk at the table,

X            1190         1992          1994         1996           1998

Y             45             51               57            61               75

Let the equatiοn that shοws the abοve data be

y = b + a x ---------(1)

Where, a = Σy Σx² - Σx Σxy

And, b = (Σxy - Σx Σy) / n Σx² -(Σx)²

By the abοve table,

Σx=20

Σxy = 1296

Σx² = 120

Σy=289

By substituting these values in the abοve value οf a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equatiοn (1)

We get, the equatiοn that shοws the given data is,

y = 3.5 x + 43.8

Therefοre, οptiοn 3 is cοrrect.

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A good way to make sense of qualitative data is through quantitative analysis.

Qualitative data refers to non-numerical data that is descriptive, such as textual responses, interviews, observations, and open-ended survey questions. To make sense of qualitative data, quantitative analysis techniques are not applicable. Instead, qualitative data analysis methods are used.

Quantitative analysis is focused on numerical data and involves statistical techniques, such as linear regression, hypothesis testing, and data modeling. While these techniques are valuable for analyzing quantitative data, they are not suitable for analyzing qualitative data.

To make sense of qualitative data, researchers typically employ methods such as thematic analysis, content analysis, coding, categorization, and pattern recognition. These techniques involve organizing, coding, and interpreting the qualitative data to identify themes, patterns, and relationships.

Therefore, among the options provided, the most appropriate way to make sense of qualitative data is through qualitative analysis techniques rather than mental blocks, thinking units, or linear regression.

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Answer: 5

Step-by-step explanation:

Answer:

x=20, 3x=60, 2x=40

Step-by-step explanation:

3x+80+2x=180, so

x=20

Answer:

x=20

Step-by-step explanation:

That is a supplementary line, so all the angles added up should be 180°

3x+2x+80=180

First combine 2x and 3x

5x+80=180

Then subtract 80 from 180

5x=180-80

5x=100

Now divide both sides by 5

5x/5=100/5

x=20

The distance between the chord to the center of the circle is 42.70 units.

The line segment joining the two points in the circle, the diameter, is the longest chord of the circle.

Given that, a circle has 100 cm of chord and 26 cm of radius, we need to find the distance between them,

Let the chord be AB and the radius be CA and the distance between them be AD,

Please refer to the figure,

We see that, the arrangement of the radius and chord are making a right triangle,

Therefore, using Pythagoras theorem,

AC² = AD² + CD²

50² = 26²+CD²

CD = 2500-676

CD = 42.70

Hence, the distance between the chord to the center of the circle is 42.70 units.

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Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

Answer:

\(\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

*Note:

Treat a as an arbitrary constant.

Step 1: Define

Identify

\(\displaystyle y = a\sqrt{\tan (5x - 7)}\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

The least possible positive integer value of n is 18.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers.

let x denote the number of adults. since the no. of adults is equal to the no. of children we can say that,

a single bench can hold either 7 adults or 11 children, so

\(N = \frac{x}{7} + \frac{x}{11}\)

\(N = \frac{18x}{77}\)

according to the question both N and x have to be positive integers, therefore x has to be equal to 77. and therefore N = 18.

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The average burnout time of a large number of bulbs has a sampling distribution that is close to the normal is known as central limit theorem states.

The Population Distribution is a form of a probability distribution that measures the frequency with which the items or variables that make up the population are drawn or expected to be drawn for a given research study.

In statistics, the frequency (or absolute frequency) of an event can be said as the number of times the observation has occurred/recorded in an experiment or study.

Probability in statistics denotes the possibility of the outcome of any random event. The term means to check the extent to which any event is likely to happen.

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The sum of the expressions -6x² + 3 and 4x² - 2 is -2x² - 2x + 3.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expressions are,

-6x² + 3        (1)

And 4x² - 2x     (2)

To find sum of expressions,

Add expression (1) and (2),

= -6x² + 3 + 4x² - 2x

= -2x² - 2x + 3.

The required sum of the expressions is -2x² - 2x + 3.

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Answer:no

the answer is c

Step-by-step explanation:

Answer:

sorry, it's one down

Step-by-step explanation:

y-intercept=1

rate of change=-2

GOOD LUCK!!

Explanation

Step 1

let x represents the numbers of days you can stay at the beach

then,

You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare.

so

but, you have only $1200, so the total needs to be smaller or equal than 1200

Step 2

solve the inequality

it means you can stay maximum 6 days

I hope this helps you

The 15th term in the sequence a (n) = 9n - 12 as required to be determined in the task content is; 123.

It follows from the task content that the 15th term in the sequence whose nth term is defined by the equation; a (n) = 9n - 12 is to be determined.

Since tye formula for the nth term of the sequence is; a (n) = 9n - 12.

To determine the 15th term, we must substitute 15 for n in the equation as follows;

a (15) = 9 (15) - 12

a (15) = 135 - 12

a (15) = 123.

In conclusion, the 15th term of the sequence whose nth term is as defined is; 123.

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Answer:

let KL be the string PL be perpendicular distance between them. and KL be height of kite flying.

in right angled triangle

relationship between perpendicular and hypotenuse is given by sin angle

sin 31°=p/h

h=65/sin31

KP=126.2m

the length of string is 126.2m

Answer:

127.45 m

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Here we need to find out the length of the string here if we imagine a right angle triangle in which the height of the kite will be the perpendicular of the triangle and the length of the string will be the hypotenuse of triangle .

And the angle between the the string and the ground will be 31°.

Here we can use ratio of sine as ,

> sin∅ = p/h

> sin 31° = 65m/ h

> h = 65m/sin 31°

> h = 65m/0.51

> h = 127 .45 m

Answer:

its 5 down.

Step-by-step explanation:

point d` is 5 away from the start (D) there fore it goes 5 units and then its just a matter of up or down. because the two x units are the same, if you draw it on a graph then you will see the d prime is 5 units below D. So answer is 5 units down.

Answer:

Asuming this is a triangle: C = 32.5

Step-by-step explanation:

Asuming this is a triangle:

Use the pythagorean Therom:

\(A^2 + B^2 = C^2\)

\(26^2 + 19.5^2 = C^2\)

\(676+380.25=1056.25\)

\(C= \sqrt{1056.25}\)

\(C= 32.5\)