At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance.

Answer:

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x + 2

3x + 3y = 6

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

(0, 2)

Step-by-step explanation:

Since y is x + 2, we can replace y with x + 2

3x + 3y = 6

3x + 3(x+2) = 6

3x + 3x + 6 = 6

6x + 6 = 6

6x = 0

x = 0

y = x + 2

y = 2

Now we can check by replacing x with 0

3x + 3y = 6

3(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 2

Translating the triangle DEF involves moving the triangle along the coordinate plane

The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1

From the figure the coordinate of D is:

D = (-2.5,5)

The rule of translation is given as:

(x, y) → (x + 6, y – 4)

So, we have:

(x, y) → (-2.5 + 6, 5 – 4)

Evaluate the sum and the difference

(x, y) → (3.5, 1)

Remove the x-coordinate

y → 1

Hence, the y-coordinate of point D after the translation is 1

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Answer:

10       10 \(\sqrt{2}\)

4        8

16       16\(\sqrt{3}\)

\(\sqrt{18}\)      \(\sqrt{18}\)

11          22

384      192

Step-by-step explanation:

mark me brainliest pls

they are in order

Answer:

AB=1

Step-by-step explanation:

Colinear means all points are on the same line. We need to find the measure of AB.

Using the segment addition postulate,

ab+bc=ac

Subsitue this for our known values

\(2x + 15 + 9 = x + 17\)

Solve for x

\(2x + 24 = x + 17\)

\(x + 24 = 17\)

\(x = - 7\)

Plug this in for AB

\(2( - 7) + 15 = 1\)

Answer:

10 puppies, 5 parrots.

Step-by-step explanation:

Puppies have twice the ammount feet, so it will be double the amount of parrots. 10 twice the amount of 5, so their would be 10 puppies, 5 parrots

The rectangular form of the complex number z is -20 - 20√3i. To convert a complex number from trigonometric form (polar form) to rectangular form, we use Euler's formula, which states that e^(iθ) = cos(θ) + i sin(θ). In this case, z = 40(cos(7π/6) + i sin(7π/6)).

Using the values provided, we have:

cos(7π/6) = -√3/2 and sin(7π/6) = -1/2.

Substituting these values into the formula, we get:

z = 40(-√3/2 + i(-1/2)).

Simplifying the expression, we have:

z = 40(-√3/2 - i/2).

Further simplifying, we get:

z = -20√3 - 20i. Therefore, the rectangular form of the complex number z is -20 - 20√3i.

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Answer:

Step-by-step explanation:

\(-2x+9 < x-9\)           (now add 9 to both sides of inequality)

     \(-2x < x-18\)         (now subtract \(x\) to both sides of inequality)

     \(-3x < - 18\)             (now divide both sides of inequality by -3)

          \(x > 6\)                 (REMEMBER: swap directions when dividing or

                                     multiplying by a negative)

SOLUTION:  A

Answer:

c = 400h

Step-by-step explanation:

When two variables are directly proportional then:

\(\boxed{y=kx}\)

where:

The constant of proportionality is the constant value of the ratio between two variables.

Given variables:

Therefore:

If the bakery can produce 400 cookies each hour, then the constant of proportionality is 400.

Therefore, the equation that models the total number of cookies, c, that can be produced in h hours is:

\(\large\boxed{c = 400h}\)

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

i believe is is 3/2

Step-by-step explanation:

as y goes up 30 x goes over 20

30/20 simplified is 3/2

Answer: slope = 3/2

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Step-by-step explanation:

Answer:

Step-by-step explanation:

D) a = 24, c = 48, e = 22, i = 80

Answer:

4.5

Step-by-step explanation:

i had that question before

Answer:

4.5

Step-by-step explanation:

π ≅ 3.14

4² < 23 < 5²

4 < √23 < 5

3.14 < √23 < 5

Answer:

220

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Given,

f(x) = -x² + 4x - 1 and x = 0

Putting the value of x we get,

f(0)= \(-0^{2}\) + (4 X 0) - 1

    = -0+0-1

    =-1

∴f(x)= -1

So, the required value is -1

The volume of the Solid -

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

What is volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or a region. It quantifies the extent or size of a solid object or a container. In simpler terms, volume is a measure of how much space an object takes up.

What is integral?

In mathematics, an integral is a fundamental concept in calculus that allows us to compute the total accumulation of a quantity over a given interval. It is used to find the area under a curve, the length of a curve, the volume of a solid, and many other applications.

To find the volume of the solid enclosed by the paraboloid z = 3x^2(y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 2, we need to set up a triple integral over the given region.

The limits of integration for x, y, and z are as follows:

x: -2 to 2

y: 0 to 2

z: 1 to 3x^2(y - 2)^2

The volume V can be calculated as follows:

V = ∫∫∫R dz dy dx

where R represents the region defined by the given planes.

V = ∫∫∫R 3x^2(y - 2)^2 dz dy dx

To evaluate this triple integral, we integrate with respect to z first, then y, and finally x, using the given limits of integration:

V = ∫[-2,2] ∫[0,2] ∫[1,3x^2(y-2)^2] 3x^2(y - 2)^2 dz dy dx

Performing the integration:

V = ∫[-2,2] ∫[0,2] [3x^2(y - 2)^2z]∣[1,3x^2(y-2)^2] dy dx

V = ∫[-2,2] ∫[0,2] 3x^2(y - 2)^2[3x^2(y-2)^2 - 1] dy dx

V = ∫[-2,2] [x^2(y - 2)^2(3x^2(y-2)^2 - 1)]∣[0,2] dx

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

Evaluate this integral using appropriate techniques or numerical methods, such as numerical integration or computer software, to find the volume of the solid enclosed by the paraboloid and the given planes.

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Answer:

3 1/3

Step-by-step explanation:

super easy, just multiply them

5/1*1/3 and you get 10/3 and you simplify and get 3 1/3 pizza

Answer:

3 1/3 pizzas

Step-by-step explanation:

Take 2/3 and multiply it by 5/1. You get 10/3, which is an improper fraction. You take that and simplify it. I know 9 goes into 3 3 times, so that means those boys had 3 1/3 pizzas.

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The domain of the function f(x) = 5x - 10 is the set of all real numbers.

If the range of the function f(x) = 5x - 10 is given by the set of all positive real numbers, we can determine the domain of the function based on this information.

The range of the function is the set of all possible output values (y-values) that the function can produce.

The range is specified as all positive real numbers.

To find the domain of the function, we need to consider the values of x for which the function is defined and produces valid outputs.

The function f(x) = 5x - 10 is a linear function, which means it is defined for all real numbers.

The domain of a linear function is unrestricted, meaning it includes all real numbers.

Moving on to Exercise 2, graphing each of the given functions would require the specific functions to be provided.

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The Six Sigma process is a quality management approach that aims to reduce the number of defects in a process by identifying and eliminating the causes of variation. True.

It is a data-driven approach that seeks to improve the quality of products or services by reducing variability and increasing process efficiency.

One of the defining characteristics of the Six Sigma process is that it requires the specification limits to be set at least six standard deviations away from the mean of the process.

This means that the process is designed to produce products or services that are within the specifications with a high degree of certainty, as the chances of the output falling outside of the specification limits are very low.

The Six Sigma approach involves several steps, including defining the problem, measuring the process, analyzing the data, improving the process, and controlling the process.

It is a rigorous approach that requires the involvement of all levels of the organization and relies on statistical tools and techniques to identify and eliminate the causes of variation in the process.

The Six Sigma process has been widely adopted by many organizations in various industries, including manufacturing, healthcare, finance, and services, to improve their processes, reduce defects, and increase customer satisfaction.

It has proven to be an effective approach for improving the quality of products and services, reducing costs, and increasing profitability.

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Answer:

B: 2800 hydrogen atoms

C: 6760 hydrogen atoms

D: y=amount of oxygen atoms*2

Step-by-step explanation:

B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.

C: Same thing as B. 3380*2=6760

D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.

Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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population at 1992 = 3590

Population after Seven years (1999) = 4500

Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.

p1 = (1992, 3590) and p2 = (1999, 4500)

m= ΔP/Δt

m= ((4500-3590))/((1999-1992))

m = 910/7

m=130 is the slope

The linear population function P(t) is

P(t)=130t + P0

Find the Y-Intercept P0

The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.

P (1) =130 (1) + P0 = 4500

P0 = 4370

P(t)=20t+4630

The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.

t= 1990, P (0) =4370

t =1992, P (1) =130 (1) + 4370 = 4500 matches data

t=1999, P (2) = 130(2) + 4370 = 4630

t=2006, P (3) = 130(3) + 4370 = 4760

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Answer:  y = 1.125x  

Step-by-step explanation:

Divide the amount in dollars by the number of euros.

9/8 = 1.125

45/40 = 1.125

Since the constant change is 1.125, the input the  1.125 into the formula y=kx for k  to get the equation   y = 1.125x  

Answer:

Option C. Side a 1.5 inches long, side b is 2 inches long and side c is 2.5 inches long

Step-by-step explanation:

The scale factor=4:1=4/1

Scale factor=(Scale drawing)/object

4/1=6/a

4a=6

a=6/4

A=1.5 inches

4/1=8/b

4b=8

b=8/4

B= 2 inches

4/1=10/c

4c=10

c=10/4

C=2.5 inches

Therefore, side a is 1.5 inches long and side b is 2 inchea long and side c is 2.5 inches long

Answer:

C

Step-by-step explanation:

with the scale factor being 4:1 (meaning shape A is bigger then shape B by 4 times) we can divide the larger shapes dimensions by 4 to get ur answer

The correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.

To simulate a variable uniformly distributed between 100 and 200 using a random number x between 0 and 1, you can use the formula:

Variable = 100 + (200 - 100) * x

Let's break down the formula:

a. 100 + x: This will give a variable that ranges from 100 to 101, not between 100 and 200.

b. 200 - x: This will give a variable that ranges from 199 to 200, not between 100 and 200.

c. 100 + 100x: This formula is correct and will give a variable that ranges from 100 to 200, with x ranging from 0 to 1.

d. 200x: This formula will give a variable that ranges from 0 to 200, not between 100 and 200.

Therefore, the correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:

Step-by-step explanation:

Given:

a= -3i

g=2i - 1lj

Solve:

-a - g

If l is an L then

-(-3i) - (2i-1lj)

i + lj

If I is an i then

-(-3i) - (2i-1ij)

i + ji