Use the drop-down menus to correctly relate each pair of number using <>=


0.62 _0.062

0.62 _ 0.620

0.725 _0.75

0.65 _0.091

the ground speed of the plane is approximately 340.56 miles per hour.

To find the ground speed of the plane, we need to take into account the effect of the wind on the plane's motion. We can use vector addition to find the resultant velocity of the plane, which is the vector sum of its airspeed and the velocity of the wind.

First, we need to resolve the airspeed into its components, using trigonometry. The component of the airspeed in the eastward direction is given by:

340 cos(124°)

And the component in the northward direction is given by:

340 sin(124°)

The wind is blowing from the west, so its velocity has a magnitude of 45 miles per hour in the westward direction. Therefore, its components are:

-45 in the eastward direction

0 in the northward direction

Now, we can add the components of the airspeed and the wind to get the components of the resultant velocity. The eastward component of the resultant velocity is:

340 cos(124°) - 45

And the northward component is:

340 sin(124°) + 0

Using a calculator, we can evaluate these expressions as follows:

340 cos(124°) - 45 = -171.98

340 sin(124°) + 0 = 298.68

The negative sign on the eastward component indicates that the plane is flying in the westward direction, relative to the ground. Now, we can use the Pythagorean theorem to find the magnitude of the resultant velocity:

|v| = sqrt((-171.98)^2 + (298.68)^2) = 340.56

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perpendicularLines a and b intersect but are not perpendicular. Line c is perpendicular to line a and line d is Perpendicular to line b. what are the possible relationships between line c and line d​

If A and B were parallel, the lines perpendicular to these would also be parallel or there could even be a line that would pass through both

If A and B were permedicular the lines perpendicular to these would also be.

If A and B are neither parallel nor perpendicular, the lines perpendicular to them are neither

________________________

So then, since A and B intersect they are not parallel and according to the statement they are not perpendicular, so their perpendicular lines C and D are neither parallel nor perpendicular.

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer:

its 17

Step-by-step explanation:

Answer:

85%×20 is 17 Goodluck.

should be right

Answer:

4 i - 5

Step-by-step explanation:

Simplify the following:

4 + 12 i - 9 - 8 i

Hint: | Evaluate 4 + 12 i - 9 - 8 i.

4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:

Answer:  4 i - 5

Answer:

40°

50°

90°

Step-by-step explanation:

sum of angle in a triangle is= 180°

(50-x)° + (9x-40)° + 90° = 180°

50-x+9x-40 + 90 = 180

50- 40 +90 -x+9x =180

100 + 8x = 180

8x = 180 -100

8x = 80

x = 80/8 =10

x = 10°

measure of a= (50-x) = 50- 10 = 40°

measure of b = (9x-40)= 90- 40= 50°

measure of c = 90°

Answer:

Step-by-step explanation:

If base of variable is same, add the powers

1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹

2) -2n² * -n⁴ * 5n³ = (-2* -1*  5 ) *n²⁺⁴⁺³ = 10n⁹

3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰

Answer:

1. \(x^{11}\)     2. 10\(n^{9}\)   3.  6\(x^{10}\)

Step-by-step explanation:

1.   \(x^{11}\)

Imagine the expression is written like this:

(x)(x) *  (x)  * (x)(x)(x) * (x)(x)(x)(x)(x)

Simply add up the number of x's and have that number be the exponent.

There are 11 x's, so it will be \(x^{11}\)

2. 10\(n^{9}\)

Do the same as above, but this time remember that two negatives equal a positive.

10\(n^{9}\)

3. 6\(x^{10}\)

Again, two negatives equal a positive.

-3 x 2 x -1 = 6

Do the same as the above two.

6\(x^{10}\)

Answer:Can u sum it up?

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Step-by-step explanation:

(Base1 + Base2)/2 = midsegment

1. ((2x+15) + (6x-37))/2 = 3x+5

2. (8X-22)/2 = 3x+5

3. ((8x-22)/2))2 = (3x+5)2

4. 8x-22=6x+10

5. 2x-22=10

6. 2x-22+22=10+22

7. 2x=32

8. x=16

Now that you have solved for X add the value to line RS

RS = 2(16) + 15

RS = 32 + 15

RS = 47

If M and A represent integers M + A = A +M is an example of the commutative property.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The commutative property states that,

a + b = b + a

Now,

M + A = A + M

This is in the form of a + b = b + a.

So,

M + A = A + M is an example of the commutative property

Thus,

M + A = A + M is an example of the commutative property.

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The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

How do I calculate a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

Given: theta angle (central) = 7.2°; arc length S = 800 km

This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).

By definition, "An arc's length is a portion of a circle's diameter."

Therefore, we must first establish what percentage of the circle the specified arc length represents.

360° is a complete circle.

Thus, the fraction equals 7.2°/360°, or 1/50.

As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.

Thus, the whole circumference is 800 x 50, or 40000 km.

Alternately, you can calculate circumference using the formula below:

360° center angle x arc length as the circumference (theta)

Values substituted: circumference 800 = 360° 7.2°

circumference = 360°, 800°, and 7.2°, or 40000 kilometers

Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

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Answer:6

Step-by-step explanation:

Answer:

18 : 9 · 3 = 2 · 3 = 6

Step-by-step explanation:

The constant torque required to bring the flywheel up to an angular speed of 400 rev/min in 8.00 s, starting from rest, is 5755.17 N m.

The constant torque required to bring the flywheel up to an angular speed of 400 rev/min can be calculated using the rotational kinematic equation:

ω = ω0 + αt

where ω0 = 0 (initial angular velocity), ω = (400 rev/min)(2π rad/rev) = 4188.79 rad/s (final angular velocity), α is the angular acceleration, and t = 8.00 s is the time interval.

The angular acceleration can be determined using the rotational analog of Newton's second law, τ = Iα, where τ is the torque applied to the flywheel and I is its moment of inertia:

α = τ/I

Substituting this expression for α into the first equation, we get:

ω = (τ/I)t

Solving for τ, we get:

τ = Iω/t

Substituting the given values, we get:

τ = (1.10 kg m²)(4188.79 rad/s)/8.00 s = 5755.17 N m

Therefore, the constant torque required to bring the flywheel up to an angular speed of 400 rev/min in 8.00 s, starting from rest, is 5755.17 N m.

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ANSWER

Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

EXPLANATION

Given:

Rectangle with length = 12 and breadth = 7.

Semi-Circle with diameter = 4

Desired Outcome:

The area of the shaded region.

Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.

Determine the Area of a semi-circle

Area of a semi-circle is half of the area of a circle

Area of the Rectangle

Determine the area of the shaded figure

Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

Answer: Jerry will have to grow 24 more inches to reach his max Height of 72 inches. If you put this into an inequality it would be 48 plus a number that is more significant than or equal to 72

Step-by-step explanation:

48+X_>72

Answer:

Step-by-step explanation:

okay so it’s gonna be 11.400

The probability their average salary is less than $33,200 is = 0.6554

Given that,

Mean = $32,000

Standard deviation = $3,000

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Standard deviation (SD) is a widely used measurement of variability used in statistics. It shows how much variation there is from the average (mean). A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.

The Z score is used to calculate how many standard deviations above or below the mean the raw score is. It comes from,

z = (x- μ) / σ           (Equation-1)

Where,

x=raw score,

μ=mean,

σ=standard deviation

μ=32,000,

σ=3,000

Average salary is less than $33,200

x < 33,200

We can substitute values in Equation-1,

z = (33,200-32,000)/3000

z = 1200/3000

z = 0.4

Using the normal distribution table as a guide,

P(x < 33,200) = P(z < 0.4)

P(x < 33,200) = 1-P(z>0.4)

P(x < 33,200) = 0.6554

Therefore,

The probability their average salary is less than $33,200 is = 0.6554

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This condition ensures that the distribution is not too skewed and allows us to use the Z-score to calculate probabilities.

(a) When we have a large sample size, the sample mean, X, follows a normal distribution with mean μ and standard deviation σ/√n, where σ is the population standard deviation. However, since we usually do not know the population standard deviation, we estimate it using the sample standard deviation, s. In this case, we use the t-distribution with n-1 degrees of freedom to calculate the 2-score, which has a slightly wider distribution than the standard normal distribution. To adjust for this wider distribution, we divide by the standard error, which is s/√n, instead of the population standard deviation a.

(b) We do not need the Central Limit Theorem to find P(X <72) if our sample size is 9 because the distribution of X is already normal. This is because the sample size is not too small, and we know the population standard deviation, so we can use the Z-score to calculate the probability directly.

(c) In order to convert 2 to a chi-square random variable, we need the assumption that the population follows a normal distribution. Specifically, if we have a random sample of size n from a normal population, then the sample variance s2 follows a chi-square distribution with n-1 degrees of freedom.

(d) In the Central Limit Theorem for 1 Proportion, we need to check the success/failure condition to ensure that the sample proportion, p, follows a normal distribution. Specifically, if np ≥ 10 and n(1-p) ≥ 10, then the sample proportion follows a normal distribution with mean p and standard deviation √(p(1-p)/n). This condition ensures that the distribution is not too skewed and allows us to use the Z-score to calculate probabilities.

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Answer:

C

Step-by-step explanation:

f(x).g(x) is

(x+12).(x-5)=x^2-5x+12x-60(add like terms)

=x^2+7x-60, the answer is C

the slope of the tangent line to f(x) = x³ at any point (x, f(x)) is 3x².

The derivative of f(x) = x³ can be found using the power rule of differentiation. According to the power rule, the derivative of xⁿ is \(nx^(n-1).\)

Applying the power rule to f(x) = x³, we get:

f'(x) = \(3x^(3-1)\)

f'(x) = 3x²

Now, to find the slope of the tangent line at a specific point (x, f(x)), we substitute the x-coordinate of the point into the derivative function f'(x).

So, the slope of the tangent line to f(x) = x³ at the point (x, f(x)) is given by:

slope = f'(x) = 3x²

Therefore, the slope of the tangent line to f(x) = x³ at any point (x, f(x)) is 3x².

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Answer:

The equation representing the relationship is;

Amount charged to work a dog once a day = $1.25 * Number of days

Step-by-step explanation:

Here, we want to find the equation representing the relationship between the charges and the number of days

Firstly, he charges $6.25 to walk a dog a day for 5 days, the amount charged per day will be $6.25/5 = $1.25

For the 7 days, amount charged = 8.75/7 = $1.25

This means he charges an amount of $1.25 to walk a dog once a day

The equation that represents the relationship is thus;

Amount charged = $1.25 * Number of days

Answer:

y = xplus1 sorry, new keyboard and it doesn't have a plus sign

If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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Answer:

3

Step-by-step explanation:

|2x + 5| = 11

2x + 5 = 11

2x = 11 - 5

2x = 6

x = 3

Answer:

260 miles

Step-by-step explanation:

set up a proportion:

6.5/d = 1/40

cross-multiply:

d = 40(6.5) which equals 260 miles

Answer: 19,990,000 times

Step-by-step explanation: Land area of Russia = 20000000

Land area of Puerto Rico = 10000

20000000 -  10000 = 19,990,000

Answer:

(5, 7) or x = 5 and y = 7

Step-by-step explanation:

Since we are given y, we can use the substitution method and substitute x+2 into y since they are equal. With this, you would have 5x - 4(x+2) = -3. You can distribute the -4 into x and 2 to get 5x - 4x - 8 = -3.

We can simplify 5x-4x to get x and get x - 8 = -3. Afterwards we can add 8 to both sides to get x = 5. We can now replug x into the first equation to get y = 5 + 2. Simplified, y = 7.

So the answer would be (5, 7) or x = 5 and y = 7.

Brainliest would be appreciated!

4 andfirst find x by finding its smallest factor

The solution to the given system of equation is -7 and 7

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given:

4x² = 196

4x²/4= 196/4

x² = 49

x=√49

x= ±7

Hence, the solution to the given system of equation is -7 and 7

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