Which equation is related to √x+10-1=x ? The square root is over the x+10
x + 10 = x2 + x + 1
x + 10 = x2 + 2x + 1
x + 10 = x2 + 1
x + 10 = x2 – 1

Answer:

1. d

2. c

3. b

4. a

To determine the best car rental plan based on the given probabilities and scenarios, a simulation with a size of 500 can be conducted. Histograms can be built using the frequency function technique for each car rental scenario.

In order to evaluate the different car rental plans, a simulation approach can be employed. This involves generating random samples based on the given probabilities and scenarios, and then analyzing the outcomes. For each of the three car rental plans, the simulation can be performed for a sample size of 500.

For option (a), the cost of renting a car for a week with additional charges for mileage can be calculated by generating random samples for the number of days needed for engine repair (two, three, or four) based on the given probabilities. The total cost for each simulated scenario can be determined by adding the fixed cost of $150 to the mileage charges.

For option (b), the daily rental cost of $50 with unlimited mileage remains constant, and the simulation can be conducted by randomly selecting the number of days needed for engine repair (two, three, or four) based on the given probabilities.

For option (c), the daily rental cost of $20 is applicable, and additional mileage charges need to be considered.

A simulation can be performed by generating random samples for the number of days needed for engine repair and simulating the daily mileage based on the given normal distribution (mean = 50 miles, standard deviation = 10 miles). On the fourth day, an additional round-trip to the airport with a 250-mile distance needs to be considered with 80% probability.

By running the simulation for each car rental scenario, 500 outcomes can be obtained. Using the frequency function technique, histograms can be constructed to visually represent the distribution of costs for each scenario and analyze the different car rental options.

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Answer:

D. 105°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Population density is:

Correct option is A

The fraction of the recipes has she not made is 112/125

How many new recipes can be made in a year?

The number of new recipes that can be made in a year is a function of the number of recipes per week and the number of weeks in a year

Total recipes in 1 year=2 recipes per week*52 week

Total recipes in 1 year=104 recipes

Out of the 1,000 recipes , only 104 recipes would have been made in a period of 1 year, which means that the recipes not yet made is 1000 recipes minus 104 recipes

recipes yet to be made=1000-104

recipes yet to be made=896

The fraction of the recipes has she not made=recipes yet to be made/total recipes

The fraction of the recipes has she not made=896/1000

divide both numerator and denominator by 8

The fraction of the recipes has she not made=112/125

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Your formula would be A/B if you were comparing data points A and B. This implies that you are dividing Information A by Information B.

The ratio formula is used to compare the connection between two numbers or quantities.

The ratio is defined as the comparison of the amounts of two or more objects, and it shows how much of one object is present in the other.

A ratio between two quantities, let's assume a and b, is represented generally as

a : b

where,

If a = Antecedent, b = Consequence,

In the sections below, we'll go over the ratio formula in more detail.

Example :

A line is drawn connecting points A, B, C, and D in the manner AB = 2BC = CD.

The ratio of BD to AD is thus

BD / AD = BC + CD / AB + BC + CD

= BC + 2BC / 2BC + BC + 2BC

= CD = 2BC and also AB = 2BC

=3BC / 5.BC

= 3/5  after division.

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Answer:

SIX MILLION THIRTY ONE THOUSAND SEVEN HUNDRED THIRTY NINE POINT FOUR TWO

6,031,739.42 in word form is written as six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths.

In word form, numbers are written out using words rather than numerical symbols. When we write 6,031,739.42 in word form, we break down the number into its different place values and express each place value using words.

Here's the breakdown:

- Six million (6,000,000) represents the millions place.

- Thirty-one thousand (31,000) represents the thousands place.

- Seven hundred thirty-nine (739) represents the hundreds place.

- And forty-two hundredths (0.42) represents the decimal part.

Putting it all together, we say "six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths" to express the number 6,031,739.42 in word form.

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The first derivative of a function is a mathematical tool that tells us how the function is changing at any given point. More specifically, it tells us whether the function is at that point. If the first derivative is positive, the function is increasing;

1. Calculate the first derivative of the function, which represents the slope of the tangent line at each point.
2. Identify the critical points, which are the points where the first derivative is either zero or undefined.
3. To determine if the function is increasing or decreasing, examine the sign of the first derivative in the intervals created by the critical points:
  a. If the first derivative is positive in an interval, the function is increasing in that interval, as the tangent line has a positive slope.
  b. If the first derivative is negative in an interval, the function is decreasing in that interval, as the tangent line has a negative slope.

By following these steps, you can use the first derivative to determine where the function is increasing and decreasing.

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Answer:

false

Step-by-step explanation:

percent can't be negative I don't think

Answer:

False

Step-by-step explanation:

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

\(hyp^{2}\) = \(adj 1^{2}\) + \(adj 2^{2}\)

\(x^{2}\) = \(8^{2}\) + \(15^{2}\)

   = 64 + 225

   = 289

x = \(\sqrt{289}\)

  = 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2ab Cos θ

\(x^{2}\) = \(8^{2}\) + \(15^{2}\) - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

\(x^{2}\) = 289 + 120

   = 409

x = \(\sqrt{409}\)

 = 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

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The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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ANSWER:

13.35 hours

EXPLANATION:

Given:

Time Kristen takes to harvest = 10.2 hours

Time Kayla takes to harvest = 16. 5 hours

Let X represent the time it would take them to work together.

Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:

It would take them 13.35 hours if they worked together.

Answer:

a=3

Step-by-step explanation:

hypotenuse theorem: c^2=a^2+b^2

plug it in, where c=5 and b=4.

5^2=a^2+4^2

25=a^2+16

subtract 16 from both sides:

9=a^2

the square root of 9 is 3, so a=3.

Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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Magnification of the image when 1.7 m tall

shoplifter stands infront of 2.4 m from a convex mirror is 0.0823.

The magnification of an image in a mirror is the ratio of the height of the image to the height of the object. Magnification is commonly used to describe how the image is visually enlarged or reduced (larger or smaller).

A magnification greater than 1 indicates that the image appears is larger  as compare to the object and less than 1 indicates that the image is smaller.

In this case, the height of the shoplifter is the height of the object and the height of the image in the mirror.

Object height =  1.7 m (Given)

Image height = 14 cm = 0.14 m (Given)

Magnification (M) = Object height/ Image height

Substituting the vales, we can get magnification of image

M = 0.14 m / 1.7 m

M = 0.0824

Therefore, the magnification of the image in the convex security mirror is approximately around 0.0824.

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To solve the differential equation y' = λy using the backward Euler method, we approximate the derivative by backward differencing. The backward Euler method is an implicit method, given by the formula:

y_n+1 = y_n + Δt * f(t_n+1, y_n+1),

Substituting the given differential equation, we have:

y_n+1 = y_n + Δt * λ * y_n+1.

Rearranging the equation, we get:

(1 - Δt * λ) * y_n+1 = y_n.

Solving for y_n+1, we have:

y_n+1 = y_n / (1 - Δt * λ).

Now, let's consider the absolute value of y_n+1:

|y_n+1| = |y_n / (1 - Δt * λ)|.

Since λ < 0, Δt > 0, and taking the absolute value of a negative number results in a positive value, we can say that |Δt * λ| > 0.

Therefore, 1 - Δt * λ > 1, and the denominator (1 - Δt * λ) in the expression for y_n+1 is greater than 1.

Hence, |y_n+1| = |y_n / (1 - Δt * λ)| < |y_n|.

This inequality implies that the absolute value of y_n+1 is always smaller than the absolute value of y_n, regardless of the value of Δt.

Thus, we can conclude that |y_n| ≤ 1 for any time step Δt > 0, as long as λ < 0.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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For the linear equation 12 = 2x+4y, the value of ordered pairs are (0,3) and (6,0).

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The given linear equation is 12 = 2x + 4y

Substitute the value of x as 0 to find the value of y -

12 = 2x + 4y

12 = 2(0) + 4y

12 = 4y

y = 12/4

y = 3

Therefore, the value for y is obtained as 3.

Substitute the value of y as 0 to find the value of x -

12 = 2x + 4y

12 = 2x + 4(0)

12 = 2x

x = 12/2

x = 6

Therefore, the value for x is obtained as 6.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

Therefore, two ordered pairs are obtained as (0,3) and (6,0).

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Answer:

1362−271x/4

​

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

  (3/4 * (3x+6))-14*(5x-24)          

STEP  2 :

Simplify   3/4

Equation at the end of step  2 :

  3                

 (— • (3x + 6)) -  14 • (5x - 24)

  4                

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x + 6  =   3 • (x + 2)  

Equation at the end of step

4

:

 9 • (x + 2)    

 ——————————— -  14 • (5x - 24)

      4          

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

                     14 • (5x - 24)     14 • (5x - 24) • 4

   14 • (5x - 24) =  ——————————————  =  ——————————————————

                           1                    4          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • (x+2) - (14 • (5x-24) • 4)     1362 - 271x

——————————————————————————————  =  ———————————

              4                         4      

Final result :

 1362 - 271x

 ———————————

      4  

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

Answer:

The answer to 10 + 10 is 20 :)

Answer:

4 :)

Step-by-step explanation:

Answer:

77 years old

Step-by-step explanation:

Answer:where is the question

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12 tablespoons= 1/4 cup

So 24= 1/2 cup

Answer:

\(14\sqrt{2}\)

Step-by-step explanation:

In a 45°-45°-90° triangle, the legs = x and the hypotenuse = \(x\sqrt2}\)

x = 14

\(x\sqrt{2} =14\sqrt{2}\)

Answer:

d

Step-by-step explanation:

14 startroot 2 endroot cm

Answer:-6r+5

Step-by-step explanation:you just combine like terms and add or the positive 5

Answer:

-6r+5

Step-by-step explanation:

(combine like terms)

-4r - 2r = -6r

The value of the equation A as c as the subject is c = ( 3p² - 8 ) / ( a - p² )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the equation will be

p = √ ( ac + 8 ) / ( 3 + c )   be equation (1)

On simplifying the equation , we get

Taking square on both sides of the equation , we get

p² = ( ac + 8 ) / ( 3 + c )

Multiply by ( 3 + c ) on both sides of the equation , we get

p² ( 3 + c ) = ac + 8

3p² + p²c = ac + 8

On simplifying the equation , we get

Subtracting p²c on both sides of the equation , we get

ac + 8 - p²c = 3p²

Subtracting 8 on both sides of the equation , we get

ac - p²c = 3p² - 8

Taking c as the common factor , we get

c ( a - p² ) = 3p² - 8

Divide by ( a - p² ) on both sides of the equation , we get

c = ( 3p² - 8 ) / ( a - p² )

Therefore , the value of A is ( 3p² - 8 ) / ( a - p² )

Hence , the equation as c as the subject is c = ( 3p² - 8 ) / ( a - p² )

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