A lion runs 50 mph and a cheetah runs 74 mph. How far does the cheetah run in the time it takes the lion to run 75 miles? heLp plEaz

Answer:

Given that

x² + y² = 6xy

or, (x + y)² - 2xy = 6xy

or, (x + y)² = 8xy

or, (x + y)² = 2³xy

Taking (log) in both sides, we get

log (x + y)² = log (2³xy)

or, 2 log (x + y) = log (2³) + logx + logy

or, 2 log (x + y) = 3 log2 + logx + logy

Hope this helps :D

The  probability that exactly 5 runners will pass by Roger's house in a day is approximately 0.051, rounded to the thousandths digit.

This is a problem of the Poisson distribution. We can use the formula:

P(k events in interval) = (lambda^k * e^(-lambda)) / k!

where lambda is the expected number of events in the interval, and k is the number of events we want to calculate the probability for.

In this case, lambda = 9 and k = 5. So we can plug in the values and calculate:

P(5 events in a day) = (9^5 * e^(-9)) / 5! = 0.051

So the probability that exactly 5 runners will pass by Roger's house in a day is approximately 0.051, rounded to the thousandths digit.

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Answer:

Step-by-step explanation:

x+3 - x = 3 = width

2(x+3) = 2x + 6 = length

2x + 6 +2x +6 +3 +3 = 4x + 18 = Perimeter of T

|z|= 2 √(5), |2z|=4 √(5)  and |3z|=6 √(5).  |2z|= 2|z|  this relationship holds true.

In mathematics, the modulus, also known as the absolute value or magnitude, is a function that returns the positive value of a number regardless of its sign. The modulus function is denoted by the vertical bars surrounding the number or expression, for example, |x| or |a-b|.

The modulus of a number is defined as the distance of that number from zero on the number line. For example, the modulus of 5 is 5, while the modulus of -5 is also 5. This is because both 5 and -5 are located at a distance of 5 units from zero on the number line.

The modulus function can also be used to express the distance between two numbers. For example, the modulus of the difference between two numbers a and b is written as |a-b|. This gives the distance between the two numbers on the number line, regardless of their signs.

We are given that z = 4 - 2i.

The magnitude (absolute value) of a complex number a + bi is given by |a + bi| = √(a² + b²).

Therefore, we have:

|z| = |4 - 2i| = √(4² + (-2)²) = √20) = 2 √(5)

To find |2z| and |3z|, we multiply z by 2 and 3, respectively, and then take the magnitude:

|2z| = |2(4 - 2i)| = |8 - 4i| = √(8² + (-4)²) = √(80) = 4 √(5)

|3z| = |3(4 - 2i)| = |12 - 6i| = √(12² + (-6)²) = √(180) = 6 √(5)

Finally, we can investigate if |2z| = 2|z|:

|2z| = 4 √(5)

2|z| = 2(2 √(5)) = 4 √(5)

Since |2z| = 2|z|, this relationship holds true.

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The calculation for calculating the number of days the youngsters ate the bars for lunch is 11 = 32 - 3x.

An equation is a mathematical expression that represents the equivalence of two or more mathematical expressions.

When someone asks you to solve an equation, they typically want to determine the unknown values for which the equation is true (the equality between expressions should hold true for those values).

An equation's solutions are the values of the variables involved in the equation for which the equation holds true.

Given that Ms Jordan purchases a box of 32 granola bars every day, each of her three children consumes one granola bar for lunch, there are only 11 bars remaining.

The algorithm for calculating the number of days the youngsters ate the bars for lunch;

11 = 32 - 3x

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Answer:

The average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

Step-by-step explanation:

To obtain the average rate of change of a function from x1 to x2, you can use the formula:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

In this case, you are given the function f(x) = -2x + 15, and the values x1 = 0 and x2 = 3.

First, calculate the values of f(x1) and f(x2) by substituting x1 and x2 into the function:

f(x1) = -2(0) + 15 = 15

f(x2) = -2(3) + 15 = 9

Now we can substitute these values into the formula for average rate of change:

Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)

= (9 - 15) / (3 - 0)

= -6 / 3

= -2

Therefore, the average rate of change of the function f(x) = -2x + 15 from x1 = 0 to x2 = 3 is -2.

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An intention-to-treat (ITT) analysis is a widely used method in clinical trials for evaluating treatment effectiveness by comparing the outcomes of patients based on their initially assigned treatment groups. The cumulative incidence ratio (CIR) is a measure of the relative risk of an event, such as recurrent stroke, occurring in one treatment group compared to another.

In this case, the standard of care is used as the reference group. To calculate the cumulative incidence ratio for recurrent stroke using the standard of care as the reference, you would follow these steps:

1. Determine the cumulative incidence of recurrent stroke in both the experimental group and the standard of care group. Cumulative incidence is calculated as the number of new events (recurrent strokes) divided by the total number of subjects at risk during a specific time period.

2. Calculate the ratio of the cumulative incidences between the experimental group and the standard of care group. This is done by dividing the cumulative incidence in the experimental group by the cumulative incidence in the standard of care group.

The resulting value is the cumulative incidence ratio for recurrent stroke using the standard of care as the reference. A CIR greater than 1 suggests that the risk of recurrent stroke is higher in the experimental group compared to the standard of care group, while a CIR less than 1 indicates a lower risk in the experimental group. A CIR equal to 1 signifies no difference in risk between the two groups.

Keep in mind that the intention-to-treat  ITT analysis helps to preserve the randomization process in clinical trials and reduce bias, providing a more conservative estimate of treatment effectiveness.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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In circuit training, exercises are usually set up so that the same muscle group is worked in back to back exercises is a "false" statement.

A circuit workout consists of six or more exercises that are alternated with brief rest intervals and performed for either a predetermined number of reps or a certain duration of time.

Some features of circuit training exercise are-

Benefits of doing circuit training exercise-

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The complete question is -

In circuit training, exercises are usually set up so that the same muscle group is worked in back to back exercises.(True/False)

Answer:

Step-by-step explanation:

f(x)=2x^2-9x-18

(2x+3)(x-6)

Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

Answer:

Co me he re tjyvynoqtu guys

Answer:

Translated up by 2, translated to the right by 3

Step-by-step explanation:

Answer:

x = 120

Step-by-step explanation:

A regular polygon for something that has 3 sides (triangle) will have equal angles and sides, making this an equilateral and equiangular triangle. Because of this, the angles on the inside of the triangle are each 60 degrees. Angle x and the angle of the triangle make a straight line, x+60=180. This makes x equal to 120.

Answer: To determine how the distances compare, we need to first find the total distance Mark covered in each activity for the given number of days.

For 3 days:

Biking: 1 mile/day x 3 days = 3 miles

Running: ⅖ mile/day x 3 days = 3/5 mile

Swimming: ¼ mile/day x 3 days = 3/4 mile

For 5 days:

Biking: 1 mile/day x 5 days = 5 miles

Running: ⅖ mile/day x 5 days = 1 mile

Swimming: ¼ mile/day x 5 days = 5/4 mile

For 6 days:

Biking: 1 mile/day x 6 days = 6 miles

Running: ⅖ mile/day x 6 days = 6/5 mile

Swimming: ¼ mile/day x 6 days = 3/2 mile

Now, we can compare the distances:

For 3 days: Mark biked 3 miles and swam 3/4 mile. Since 3 miles is greater than 3/4 mile, Mark biked more than he swam in 3 days.

For 5 days: Mark biked 5 miles and swam 5/4 mile. Since 5 miles is greater than 5/4 mile, Mark biked more than he swam in 5 days.

For 6 days: Mark biked 6 miles and swam 3/2 mile. Since 6 miles is greater than 3/2 mile, Mark biked more than he swam in 6 days.

Therefore, in all cases, Mark biked more than he swam. This is because biking covers a greater distance per unit time than swimming, so even though he swam the same distance each day as he biked, he covered less total distance overall.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

please the second probability is true

Answer: I believe it's False

Hope this helps love<3

Answer:

B.) is the answer bro I got the same test bro like just trust me and give me 5 start and like and give a heart

Considering the images (a),(b),(c),(d),(e),(f) the oriented path is

(a) Negative

(b) Positive

(c) Positive

(d) Zero

(e) Zero

(f) Zero

calculating each quadrant's line integral and symmetry.

In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.

What does a Line integral mean?

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Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John and Elijah are both driving from New York City to Richmond.

John leaves at 7:20 and averages 60 mph (miles per hour) on the way.

Elijah leaves at 7:30 and averages 62 mph on the way.

The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.

y = 60x + 10 ...1

y = 62x        ...2

The time is taken by Elijah to cross John will be

62x = 60x + 10

 2x = 10

   x = 5 hours

The distance traveled in 5 hours will be

y = 62 (5)

y = 310 miles

Elijah will pass John after 5 hours, and they each will have traveled 310 miles.

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

i took the quiz

Answer:

B, 5 gallons

Step-by-step explanation:

I am going to use the first one named "a" and the second "b"

A= unit rate 13.99.

B= 67.45/5=13.49

Answer:

same. me too❤

The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x which will be the required transformation.

Taking into account that f(x) = x becomes f(x) = x+11

This shows a horizontal displacement of x of 11 units to the left.

This is true since the original graph's origin is the x intercept. for a new purpose

x's intercept is -11.

The option it contains is the right one.

11 units to the left, I shifted.

x is taken away from by a negative -11.

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry. The majority of proofs in geometry are built upon object transformations. Any image in a coordinate plane can be altered using transformations.

Disclaimer : the complete question is :

How will the input of f(x + 11) affect the graph of f(x) = x? Explain.

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

The volume of the object is 9.771 cubic meters.

The volume of a 4422 kg object with a density of 452 kg/m³ can be calculated using the formula: volume = mass / density. In this case, the volume is equal to 4422 kg divided by 452 kg/m³.

To find the volume of the object, we can use the formula: volume = mass / density. Given that the mass of the object is 4422 kg and the density is 452 kg/m³, we can substitute these values into the formula.

volume = 4422 kg / 452 kg/m³

To divide these quantities, we need to convert the units to match. The density is given in kg/m³, so we keep it as it is. The mass is given in kg, which is already in the correct unit.By dividing the mass (4422 kg) by the density (452 kg/m³), we can determine the volume of the object. The resulting value will have the unit cubic meters (m³), representing the volume.

Performing the calculation:

volume = 4422 kg / 452 kg/m³ = 9.771 m³

Therefore, the volume of the object is 9.771 cubic meters.

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Answer:

f(7) = 12

Step-by-step explanation:

When we have a number in the parentheses here, that is the x value. So, we plug in -7 for x!

f(7) = 5 - (-7)

f(7) = 5 + 7

f(7) = `12

So, our answer is:

f(7) = 12

Answer/conclusion -

\(f(-7)=12\)

Explanation -

When solving for a value of a function \(f(x)\), substitute the number instead of x (this number should be given to you) aand solve

The function here is \(f(x)=5-x\). Now let's get down to answering the given activity.

      \(f(-7)=5-(-7)\)

      \(f(-7)=5+7\) (over here the minuses cancel into +)

              \(=12\)

Answer:

45 sqft

Step-by-step explanation:

Split the shaded area into a rectangle and a triangle. The area of the rectangle is 3x10=30 and the area of the triangle is 3x10/2=15 30+15=45

Or 10x6=60 10*3/2=15 60-15=45

Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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