A map has a scale of 1/2 inch = 20 miles.
Quinn wants to travel an actual
distance of 70 miles. What will the
length on the map be?

Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.

So, we can write the following equations:

x = (3/4) * y

y = (4/5) * z

Where y is the value of car 2, and z is the value of car 3.

Adding all the values, we have:

x + y + z = 1115900

We can substitute the values of y and z in terms of x:

x + (3/4) * x + (4/5) * (3/4) * x = 1115900

Simplifying the expression on the left side, we get:

7/4 * x = 1115900

Finally, dividing both sides by 7/4, we get:

x = 359900

So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.

Step-by-step explanation:

Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Step-by-step explanation:

Let's call the value of car 1 "x".

From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.

So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.

From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.

So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.

The total value of all three cars is $1115900, so we can set up an equation to solve for x:

x + 4/3 * x + 3/4 * x = 1115900

Expanding and simplifying the right side:

x + 4/3 * x + 3/4 * x = 1115900

8/3 * x = 1115900

x = 1115900 * 3 / 8

x = 467125

So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

A table which could be used to verify that the functions they represent are inverses of each other include the following:

C. Table 3.

D. Table 4.

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

This ultimately implies that, if the ordered pair (x₁, y₁) is a member of a functional relation, then the ordered pair (y₁, x₁) would be a member of its inverse function.

Based on table 3 and table 4, we can reasonably infer and logically deduce that the ordered pair (627, -120) and the ordered pair (-120, 627) represents a function that are inverses of each other.

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Answer:

358 feet²

Step-by-step explanation:

Answer:

358

Step-by-step explanation:

A= 12 x 5

= 60

x 2 = 120

A= 5 x7

= 35

x 2 = 70

A = 12 x 7

= 84

x2 =168

(I multiply by 2 because 2 sides are equall)

Add:

120 + 70 + 168 = 358

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

\(\frac{1}{5}x-5\)

-5/5

-1

Hopes this helps please mark brainliest

Answer:  The answer is -1 or 1

Given:

Required:

We need to solve the given inequality.

Explanation:

Consider the given equation.

Divide both sides of the inequality by (-7) and reverse the inequality because dividing by the neative number.

Final answer:

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

Without any further information or clarification on the angle or its context, it is not possible to provide a specific numerical value for cos 28728°.

The trigonometric function cosine (cos) is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. However, the given angle of 28728° is not within the range of standard angles typically used in trigonometry (0° to 360°). As such, we cannot directly compute the cosine of this angle using traditional trigonometric methods.

It is worth noting that 28728° is an extremely large angle, far beyond the usual range of angles encountered in mathematics and real-world applications. In this case, it is possible that the angle was specified incorrectly or there was a typographical error.

If there is additional information or if the angle is corrected or rephrased within a valid range, I would be happy to help you compute the cosine or provide any other relevant information.

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88 because you multiply 66 by 8 then divide by 6 and you get 88

Answer:

88

Step-by-step explanation:

6:8=66:x

66×6=528

528=6x

x=88

Examples of Linear function are 6x + y = -1; and y = x + 5;

A linear function is the function that consists of one independent variable and one dependent variable without any exponents or powers.

The order of a linear function is always 1.

An example of such an equation can be:

6x + y = -1

Another definition of a linear function is the function that represents a straight line on the graph.

Except y=0; x=0; As y=0 represents the y-axis on the graph while x=0 represents the x-axis on the graph. Any other straight line other that these are known as Linear function.

Example of such a linear function can be:

y = x + 5

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The general solution to the differential equation y'' - 9y = 9x/e³ˣ is y(x) = (c₁ + c₁e³ˣ) + (c₂ + c₂e⁻³ˣ)x + c_3e⁻⁹ˣ, where c₁, c₂, and c₃ are constants.

To solve the differential equation y'' - 9y = 9x/e³ˣ by variation of parameters, we first need to find the general solution to the homogeneous equation y'' - 9y = 0:

The characteristic equation is r² - 9 = 0, which has roots r = ±3. Therefore, the general solution to the homogeneous equation is

y_h(x) = ce³ˣ + c₂e⁻³ˣ

To find the particular solution y_p(x), we can assume that it takes the form

y_p(x) = u_1(x)e³ˣ + u_2(x)e⁻³ˣ

where u₁(x) and u₂(x) are functions to be determined.

Taking the first and second derivatives of y_p(x), we get

y'_p(x) = u'₁(x)e³ˣ + 3u₁(x)e³ˣ - u'₂(x)e⁻³ˣ + 3u₂(x)e⁻³ˣ

y''_p(x) = u''₁(x)e³ˣ + 6u'₁(x)e³ˣ + 9u₁(x)e³ˣ - u''₂(x)e⁻³ˣ + 6u'₂(x)e⁻³ˣ - 9u₂(x)e⁻³ˣ

Substituting these into the differential equation and simplifying, we get

(u''₁(x) + 6u'₁(x) + 9u₁(x))e³ˣ + (u''₂(x) + 6u'₂(x) - 9u₂(x))e⁻³ˣ = 9x/e³ˣ

To satisfy this equation for all x, we can equate the coefficients of e³ˣ and e⁻³ˣ to the functions on the right-hand side

u''₁(x) + 6u'₁(x) + 9u₁(x) = 0

u''₂(x) + 6u'₂(x) - 9u₂(x) = 0

The solutions to these equations are

u₁(x) = c₁ + c₂x

u₂(x) = c₃e⁻⁶ˣ

where c₁, c₂, and c₃ are constants to be determined.

Substituting these solutions back into the expression for y_p(x), we get

y_p(x) = (c₁ + c₂x)e³ˣ + c₃e⁻³ˣ⁻⁶ˣ

= (c₁ + c₂x)e³ˣ + c₃e⁻⁹ˣ

Therefore, the general solution to the differential equation y'' - 9y = 9x/e³ˣ is

y(x) = y_h(x) + y_p(x) = c₁e³ˣ + c₂e⁻³ˣ + (c₁ + c₂x)e³ˣ + c₃e⁻⁹ˣ

= (c₁ + c₁e³ˣ) + (c₂ + c₂e⁻³ˣ)x + c₃e⁻⁹ˣ

where c₁, c₂, and c₃ are constants.

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The given question is incomplete, the complete question is given

Solve the differential equation y''-9y =9xe³ˣby way of variation of parameters."

The length of the third side is 4.

Given information:

A right-angled triangle is provided in the diagram.

So, as per the diagram,

The hypotenuse leg = √(97)

Opposite leg = 9

Let the length of the adjacent leg, which is the third side be x. By the Pythagorean theorem, we have:

x² + 9² = √(97)²

Simplifying the right side, we get:

x² + 81 = 97

Subtracting 81 from both sides, we get:

x² = 16

Apply square root property, we get,

x = +/- 4

Since the length of a side of a triangle must be positive, the length of the third side is 4.

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There are two real number solutions for x2 − 5x + 7 = 0: x = 2 and x = 7.

1. x2 − 5x + 7 = 0

2. (x - 2)(x - 7) = 0

3. x = 2 or x = 7

When solving for the real number solutions of x2 − 5x + 7 = 0, we first need to factor the equation into two linear terms: (x - 2)(x - 7) = 0. From here, we can use the Zero Product Property to determine that x = 2 and x = 7 are the two real number solutions of this equation. This means that when x is equal to 2 or 7, the equation will equal 0 and all other values of x will result in a non-zero answer. Therefore, the only two real number solutions of x2 − 5x + 7 = 0 are x = 2 and x = 7.

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Answer:

The answer is D

Step-by-step explanation:

Give the other person brainlest

Answer:

d

Step-by-step explanation:

i took the quiz

Answer:

D=3x+5, I=4x+8, -1x-3

Step-by-step explanation:

You don't know how many chocolates are in the boxes, so that's x. Always look at "and" and think + something. You know how many extra chocolates there are so you don't need to put the x. Remember, and=plus. Remember the equation is Mx+b.

The two expressions together is 3x+5=4x+8. Move the 4x to the other side with 3x+5 and make it negative. Same for eight. Hopefully that helps.

We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

Now first we are required to find the perimeter of the circle

Perimeter of the circle is given by the formula 2πr

Hence, perimeter of the circle = 2πr= 2π x 10 =20π=62.851cm

Hence value of arc in radians = 40/62.851 x 2π =0.636 x 2 π =1.272π

Radian can be converted to degree by multiplying the radian measure by 180/π

Therefore, angle subtended by arc in degrees =1.272 π x 180 /π =229.1 °

Hence the angle subtended by arc is 229.1°

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an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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The measure of angle A  is 17.8

The correct  option is (A)

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

As,  perpendicular from B to side AC

In triangle BDC,

its angles are 30°, 60° and 90°

So, the sides ratio be 1 :√3 : 2

Now,

BD : DC : BC = 1 :√3 : 2

= 11√3/2 : 11/2 : 11

Now, using trigonometry

Sin A = P /H

Sin A = BD/AB

=(11/2)/18

= 11/36

= 0.3055

m<A = 17.79 ≈ 17.8°

hence, the measure of A  is 17.8°.

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Answer:

$24

Step-by-step explanation:

Let the total amount of her allowance = a

We are told that she spent $8 on belt

And the total amount she spent = $22

The Fraction of allowance spent on

Shirt = 1/4

Skirt = 1/3

Hence, the equation is given as:

1/4 × a + 1/3 × a + $8 = $22

Collect like terms

a/4 + a/3 = $22 - $8

a/4 + a/3 = $14

The Lowest Common Denominator = 12

3a + 4a/12 = $14

7a/12 = $14

Cross Multiply

7a = $14 × 12

7a = $168

a = $168/7

a = $24

Therefore, her total allowance = $24

Answer:

its 24 i took the quiz :)

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

One

Step-by-step explanation:

Only one student watch six movies

A hotel has a rectangular shaped meeting room that is 13.4 yards wide and 15.1 yards long. If the carpenter cost $ 1.71 per feet² what would be the cost of carpenting the room ?

Given :

Need to find :

Solution :

THIS QUESTION IS BASED ON MEANSURATION TO SOLVE THIS QUESTION FIRST WE WILL CALCULATE THE AREA OF THE MEETING ROOM AND THEN WE WILL CALCULATE THE COST OF CARPENTING THE MEETING ROOM.

Calculating the area of the meeting room

\( \star \: \large \boxed{\sf{ Area_{(rectangle)} = Length × Breadth }}\)

\( \large\rm{ Area_{(rectangle)} = (15.1 × 13.4) yard² = 202.34 \: yards²}\)

Area of the meeting room = 202.34 yard²

Calculating the cost of carpenting the meeting room

First we will convert yards into feet

We know,

1 yard = 3 feet

202.34 yard = 202.34 × 3 = 607.02 feet

Now calculating the cost of carpenting the meeting room

Rate of carpenting = $ 17.1 per feet²

Cost of carpenting = $ ( 17.1 × 607.02) = $10,380.04

Final Answer -

\( \rule{180pt}{3pt}\)

Answer:

Step-by-step explanation:

Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.

The value of n in the equation is 15. The equations are equal.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, let's find the exponent n in the equation as follows:

1.8 x 10ⁿ= (6 x 10⁸)(3 x 10⁶)

(6 x 10⁸)(3 x 10⁶)

we have to add the exponents

(6 x 10⁸)(3 x 10⁶) = 6 × 3 × 10⁸⁺⁶

(6 x 10⁸)(3 x 10⁶) = 18 × 10¹⁴

Therefore,

(6 x 10⁸)(3 x 10⁶) = 1.8  × 10¹⁴⁺¹

(6 x 10⁸)(3 x 10⁶) =  1.8  × 10¹⁵

Therefore,  n = 15. The equations are equal.

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Dy/dx for the given parametric curve is 2..

to determine dy/dt in terms of t for the given parametric curve x = -1 + 3t and y = 5 + 6t, we can differentiate the equation for y with respect to t using the chain rule:

dy/dt = d/dt (5 + 6t) = 6

this means that the rate of change of y with respect to t is a constant value of 6, which is not dependent on the value of t.

to find dy/dx, we can use the chain rule to express dy/dx in terms of t:

dy/dx = (dy/dt) / (dx/dt)

     = 6 / 3      = 2

parametric curve. Answer parts a and b. X= -1 + 3t, y = 5 + 6t; t = 3 a. Determine dy/dt in terms of t and evaluate it at the given value of t. Dy/dx =

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d)An error because d cannot be negative.

According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.

Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:

However, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.

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