You leave your house and drive 7 miles north, then turn left and drive 24 miles west. How far are you from your house?

Answer:

1. The first step is to  add 1.72  on both sides.

2. The second step is to  multiply by 4/3  on both sides.

3. The solution is x =  -6.8

Step-by-step explanation:

EDGE 2020

The value of x in the the two-step equation is -6.80.

In order to determine the value of x, take the following steps:

The first step is to combine similar terms together:

3/4x = -6.821 + 1.72

Add similar terms

3/4x = -5.101

Divide both sides of the equation by 4/3

x = -6.80

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The function either sorts elements and loops the array or uses a hash set to check for adjacent elements differing by 1.

def solution():

   # Take user input as a comma-separated string and split it into an array

   A = input("Enter the array elements: ").split(",")

   A = [int(elem) for elem in A]  # Convert the strings to integers    

   # Create a hash set to store the elements

   seen = set()    

   # Loop through the array and check if any element's neighbors differ by 1

   for elem in A:

       if elem - 1 in seen or elem + 1 in seen:

           return True        

       seen.add(elem)  

   # If no adjacent elements differ by 1, return False

   return False

# Call the function and print the result

print(solution())

Explanation:

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The the increase to first order in Ar of f(x) = 4x2 + 3x + 2 when I is increased by Ar is Ar (8x + 3) = Ar (8D + 3) = D

To find the increase to first order in Ar, we need to find the derivative of the function f(x) with respect to x and then evaluate it at x = D:

f(x) = 4x^2 + 3x + 2

f'(x) = 8x + 3

So the increase to first order in Ar

f'(D) × Ar = (8D + 3) × Ar

= 8D Ar + 3Ar

Therefore, the increase to first order in Ar of f(x) is 8D Ar + 3Ar, which can be simplified as follows:

8D Ar + 3Ar

= Ar (8D + 3)

Substituted D for x

= Ar (8x + 3)

Therefore, the result is Ar (8x + 3) = Ar (8D + 3) = D.

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The given question is incomplete, the complete question is :

Find the increase to first order in Ar of f(x) = 4x2 + 3x + 2 when I is increased by Ar. Your answer should be in terms of 2 and Ar

Answer: Okay, the answer is x^2/68+(y+3)^2/17=1.

Step-by-step explanation: Step. 1 Complete the square for 4y^2+24y: 4(y+3)^2−36.

Step 2. You’ll need to substitute 4(y+3)^2−36 for 4y^2+24y in the equation x^2+4y^2+24y=32: x^2+4(y+3)^2–36=32.

Step 3. So you’ll need to move –36 to the right side of the equation by adding 36 to the both sides: x^2+4(y+3)^2=32+36.

Step 4 You add 32 and 36: x^2+4(y+3)^2=68.

Step 5. You divide each term by 68 to make the right side equal to one: x^2/68+4(y+3)^2/68=68/68.

And step 6. You’ll need to simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation be 1: x^2/68+(y+3)^2/17=1. I hope you download Math-way app to calculate this ellipse in standard form to be extremely helpful, please mark me as brainliest, and have a great weekend! :D

Answer:

48

Step-by-step explanation:

because 36 divided by 6 is 6 and that is how much dough she produces in an hour so if you added two more 6s to 6 to make it 8 meaning you are adding 12 because that is how much dough she makes in an hour

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the \(\triangle ADC \text { and }\triangle AEB :\)

1. \(\angle B = \angle C = 90^\circ\)

2. \(\angle A\) is common to both the triangles.

3. Two angles are common, so the third angle \(\angle E\) is also equal to \(\angle D\).

All the three angles in the \(\triangle ADC \text { and }\triangle AEB\) are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

BC = 55 units

AB = AC - AB = 33 units

Let side AE = \(x\) units

Side AD = AE + ED

So, AD = \(x + 72\)

Using the ratio:

\(\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units\)

So, AE = 43.2 units

Answer:

Your answer is yes. I hope this helped you!

Answer:

Yes

Step-by-step explanation:

The all solutions of Ax = 0 in parametric vector form, we need to find the special solutions by setting up a system of equations using the given matrix.

The augmented matrix [A | 0] is:

[ 1  4  -2  5 | 0 ]

[ 0  1  -5  5 | 0 ]

The row operations to bring the augmented matrix to its reduced row-echelon form:

1. Row 2 - 4 * Row 1:

[ 1  4  -2  5 | 0 ]

[ 0 -3   6 -15 | 0 ]

2. Divide Row 2 by -3:

[ 1  4  -2  5 | 0 ]

[ 0  1  -2  5 | 0 ]

3. Row 1 - 4 * Row 2:

[ 1  0   6 -15 | 0 ]

[ 0  1  -2   5 | 0 ]

Now, we have the reduced row-echelon form of the augmented matrix.

From this, we can write the system of equations:

x + 6x_3 - 15x_4 = 0

y - 2x_3 + 5x_4 = 0

The solutions in parametric vector form, we can set x_3 = t and x_4 = s as free variables:

x = -6x_3 + 15x_4 = -6t + 15s

y = 2x_3 - 5x_4 = 2t - 5s

Therefore, the solutions to Ax = 0 in parametric vector form are:

x = -6t + 15s

y = 2t - 5s

z = t

w = s

Where t and s are arbitrary parameters.

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The value of the missing length √5

What Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given,

Hypotenuse = 3cm

One side = 2cm

Let the one side given be Base

Then, base = 2cm

Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle

By Pythagoras Theorem:

H² = P² + B²

If we have to find perpendicular then,

P² = H² - B²

or,

P = √H² - B²

Putting the values we get,

P = √(3)² - (2)²

P = √(9 - 4)

P = √(5)

P = √5

Hence, The missing length of the triangle is √5

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The association between lung function (FEV) and age can be observed through the analysis of the provided output from R.

The output from R likely includes statistical measures such as correlation coefficients or regression analysis results to determine the relationship between FEV and age. These calculations can help quantify the association between the two variables. For example, a correlation coefficient can indicate the strength and direction of the relationship, where a positive value suggests a positive association between FEV and age.

Based on the provided output from R, it can be concluded that there is an association between lung function (FEV) and age. However, without the actual output or specific statistical measures, it is challenging to provide further details or draw more precise conclusions. It is important to consider that the association between FEV and age may not necessarily imply causation, as other factors such as lifestyle, health conditions, and genetics can also impact lung function. Further analysis and additional data would be necessary to fully understand the nature and significance of this association.

Overall, it is reasonable to conjecture that lung function (FEV) changes with age, but a comprehensive analysis of the provided output and additional research would be required to establish the precise relationship between the two variables.

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The area of the composite figure is 210 square units

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Add the areas of triangle , rectangle and parallelogram

Triangle:

Base (b) = 20 , height (h) = 6

Area = 0.5*b* h = 0.5 * 20* 6 = 60 square units

Rectangle:

length, l= 10 , width, w= 5

Area = l*w = 10*5 = 50 square units

parallelogram:

l= 10, h= 10

Area = l*h = 10 * 10 = 100   square units

total area= 60+ 50+ 100 = 210 square units

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Dividing in math is the process of finding the quotient of two numbers.

The formula for dividing two numbers is a/b = c, where a and b are the two numbers being divided and c is the quotient.

Division is a mathematical operation that is used to split a whole number into parts. It is the opposite of multiplication, which combines numbers together. The formula for division is A / B = C, where A is the dividend (the number being divided), B is the divisor (the number dividing the dividend), and C is the quotient (the result of the division). To calculate, you divide the dividend by the divisor and the quotient is the resultTo calculate the quotient, you must divide a by b. For example, if we wanted to divide 8 by 4, we would divide 8 by 4 to get 2. The calculation would look like this: 8/4 = 2. As a result, 8 divided by 4 is equal to 2.

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Answer:

\(y=3x-8\)

Step-by-step explanation:

Answer:

The answer should be 25% off

Step-by-step explanation:

sorry if wrong

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

hope this helps :) have a nice day !!

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

Answer:

the mixed number equivalent of 66.0416666667 is 66 1/24

Step-by-step explanation:

To convert 66.0416666667 to a mixed number, we need to perform two steps. First, we need to divide the number 66.0416666667 by 1 to obtain the whole number part of the mixed number. Since 66.0416666667 divided by 1 is equal to 66, the whole number part of the mixed number is 66. Next, we need to find the fractional part of the mixed number by subtracting the whole number part from the original number and simplifying the resulting fraction. In this case, the fractional part of the mixed number is 0.0416666667, which can be simplified to 1/24.

As given by the question

(17)

There are given that the equation

Now,

From the general solution for the given equation

Then,

Solve above solution

So, divide by 3 on both side of the equation

Hence, the value of the given equation is shown below:

Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

The equation representing the value of the stock, V(t), in dollars, t years after 1940 is V(t) = $1.25 * \(1.07^t\).

Let V(0) be the value of the stock in 1940, which is given as $1.25. Then, the value of the stock after t years (t > 0) can be found by multiplying the initial value with the growth factor of 1.07 raised to the power of the number of years of growth. Thus, the equation representing the value of the stock, V(t), in dollars, t years after 1940 is:

V(t) = V(0) * \((1 + 0.07)^t\)

Substituting the given value of V(0) = $1.25, we get:

V(t) = $1.25 * \((1 + 0.07)^t\)

Simplifying this expression, we get:

V(t) = $1.25 * \(1.07^t\)

Therefore, the equation representing the value of the stock, V(t), in dollars, t years after 1940 is V(t) = $1.25 * \(1.07^t\).

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Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

Answer:

YES

Step-by-step explanation:

Answer: NONE OF THE ABOVE jk.......the answer is  

The distance between the two new numbers is the same as a + (-b)

Step-by-step explanation:hope this helps:) (i took the checkpoint)

The type of ANOVA used when there are two independent variables each with more than two levels, and with different participants taking part in each condition is called a Two-Way Between-Subjects ANOVA.

This type of ANOVA examines the effects of two independent variables on a dependent variable. The two independent variables are referred to as factors, and each factor has multiple levels or conditions. The between-subjects design means that each participant only takes part in one condition of each factor.

This type of ANOVA allows researchers to determine if there are significant main effects and interactions between the two independent variables on the dependent variable.

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Answer:

Let's denote the horizontal distance of the support beam from the bottom of the ladder as "x" meters.

According to the given information, the ladder is resting against a vertical wall that is 1.8m high, and the support beam is placed 0.6m away from the wall. The length of the support beam is 0.6m.

We can use similar triangles to solve for "x". The triangles formed by the ladder, the support beam, and the vertical wall are similar triangles.

The height of the vertical wall (1.8m) corresponds to the length of the ladder along the wall, and the horizontal distance from the wall to the support beam (0.6m) corresponds to "x" meters on the ladder.

Using the concept of similar triangles, we can set up the following proportion:

(Height of wall) / (Horizontal distance from wall to support beam) = (Length of ladder) / (Distance from bottom of ladder to support beam)

Plugging in the given values:

1.8 / 0.6 = (Length of ladder) / x

Simplifying the proportion:

3 = (Length of ladder) / x

To find the length of the ladder, we can use the Pythagorean theorem, which states that the square of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides (height of wall and horizontal distance from wall to support beam).

Length of ladder = √(height of wall)^2 + (horizontal distance from wall to support beam)^2

Length of ladder = √(1.8)^2 + (0.6)^2

Length of ladder = √3.24 + 0.36

Length of ladder = √3.6

Length of ladder ≈ 1.897 m (rounded to three decimal places)

Plugging this value back into the proportion:

3 = 1.897 / x

Solving for "x":

x = 1.897 / 3

x ≈ 0.632 m (rounded to three decimal places)

So, the horizontal distance of the support beam from the bottom of the ladder is approximately 0.632 meters.

The limit of the given function as x approaches infinity is infinity.

To find the limit of the given function as x approaches infinity, we need to analyze the behavior of the function for very large values of x.

First, we can observe that the term 49x^2 dominates the other terms in the function as x gets very large. This is because the square of any number grows much faster than a linear function (x) or a constant function (-7x).

Therefore, we can simplify the given function as follows:

lim x→[infinity] (49x^2 + x − 7x) = lim x→[infinity] 49x^2

Now we can directly evaluate the limit by applying the rule that states if a function is of the form ax^n where a and n are constants and x approachesinfinity, then the limit is infinity if n > 0 and negative infinity if n < 0.

In this case, a = 49 and n = 2, which is greater than 0. Therefore, the limit as x approaches infinity is infinity.

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Answer:

Ok

Step-by-step explanation:

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.

Here,

given :

Points  = C(8,6) and D(8,2).

Thus ,

For midpoint:

=> x = (x1 + x2) /2

=>  x = (8 + 8 )/2

=> x =16/2

=> x = 8

For y :

=> y = (y1 + y2) /2

=> y = (6 +2) /2

=> y = 8/2

=> y =4

Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.

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Answer: i think its 8x - 9 = 158

Step-by-step explanation: