For which values of x does the expression √x 11 make sense?

The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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For the complex numbers -3+5i and 2-i3, the real and imaginary parts are as follows:

-3+5i: Real part = -3, Imaginary part = 5

2-i3: Real part = 2, Imaginary part = -3

A complex number is expressed in the form a+bi, where a is the real part and bi is the imaginary part. In the given examples, we have:

-3+5i: The real part is -3, which represents the horizontal component of the complex number, and the imaginary part is 5, which represents the vertical component.

2-i3: The real part is 2, representing the horizontal component, and the imaginary part is -3, representing the vertical component.

The real part of a complex number represents the value on the real number line, while the imaginary part represents the value on the imaginary number line. The imaginary part is multiplied by the imaginary unit 'i', which is defined as the square root of -1. Together, the real and imaginary parts form the complex number and can be used to perform various operations in complex arithmetic.

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Answer:

Step-by-step explanation:

The radius of the planet is half the diameter, which is r = 1240/2 = 620 miles.

To find the volume of a sphere, we need to use the formula V = (4/3)πr^3, where r is the radius of the sphere. Since we are given the diameter of the planet, which is 1240 miles, we need to first find the radius by dividing the diameter by 2:

radius = diameter / 2 = 1240 / 2 = 620 miles

Now that we know the radius, we can plug it into the formula for the volume of a sphere:

V = (4/3)πr^3 = (4/3)π(620)^3 ≈ 672,508,160 cubic miles

Rounding to the nearest thousand, we get the volume of the planet to be approximately 672,508,000 cubic miles.

Therefore, the volume of the planet is approximately 672,508,000 cubic miles.

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The order of the scale from smallest to the largest is:

The smallest = 1 inch to 3 yards

The middle : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

A scale drawing is either a larger or smaller version of a diagram.  A scale factor provides information on the unit of conversion between the original image and the scale drawing.   A scale factor is the ratio of the length of the scale drawing to the length of the actual drawing.

The first step is to convert the given scale factors to the same units of measurement.

All of the measurements would be converted to yards

1 feet = 3 yards

1 inch to 3 yards

1.1 yards = 1 meter

1 inch to 1.1 yards

1 inch to 1 yard

The smallest = 1 inch to 3 yards

The next : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

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In this question, we want the equation after substituting the first (solved for y) into the second.

To do this, we need to solve for y in the first equation:

And now substitute it into the second equation, that is, we put 6x - 1 in place of every y.

By comparison, we can see that this is equivalent to the third alternative.

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

Answer:

y = (x - 6)^2 + 10.

Step-by-step explanation:

y = x^2 - 12x + 46

y = (x - 6)^2 - 36 + 46

y = (x - 6)^2 + 10.

Answer:

ans is 12/15

Step-by-step explanation:

cos= b\h b is 12 and h is 15

branliest ?

Answer: -5, 1

Step-by-step explanation:

Answer:

\(H=20(0.8)^{n}\)

Step-by-step explanation:

So, lets just go over this step by step and make sense of it.

20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.

Its what next that we dont know about.

We know that the ball rebounds 80% of its previous height.

It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.

Its now between b and c.

Lets just think about it.

Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.

What did we actually do there? We did 10*0.9^2

Pull out your calculator again and try 10* 0.9^2. Youll see that 0.9 squared is 0.81. This times 10 is 8.1, and that is exactly what you got before.

Understanding this, it is clear that we must use an exponent to fidn future values.

In answer b, it shows that you can just multiply by n.

In answer c however, it uses n as an exponent, which is the correct thing to do.

So c is your answer.

The actual formula for this is: \(first_.term(change)^t^e^r^m ^\)

The first term in this case is the first height, which is 20. The change is a rebound of 80%(0.8).

The term is just n, but in most problems n is time.

Hope this helps!

By engaging in these exercises, students can develop a deeper understanding of conditional statements and logical reasoning, which are essential skills for further studies in mathematics and logic.

In Unit 2 of a logic and proof course, homework 3 focuses on conditional statements.

Conditional statements are fundamental concepts in logic and mathematics, representing logical implications between two statements.

They are typically expressed in "if-then" format, where the "if" part is the hypothesis and the "then" part is the conclusion.

The homework may involve tasks such as:

Identifying conditional statements: Students are given a set of statements and asked to identify which ones are conditional statements.

They need to recognize the "if-then" structure and correctly identify the hypothesis and conclusion.

Analyzing the truth value of conditional statements:

Students may be given conditional statements and asked to determine whether they are true or false.

They need to evaluate the hypothesis and conclusion to determine if the implication holds in each case.

Writing converse, inverse, and contrapositive statements:

Students may be required to manipulate given conditional statements to form their converse, inverse, and contrapositive statements.

This involves switching the positions of the hypothesis and conclusion or negating both parts.

Applying the laws of logic:

Students may need to apply logical laws, such as the Law of Detachment or the Law of Modus Tollens, to deduce conclusions based on conditional statements.

Constructing counterexamples:

Students may be asked to provide counterexamples to disprove statements that are falsely claimed to be universally true based on a given conditional statement.

They also help students develop critical thinking and problem-solving abilities, as they have to analyze and manipulate logical structures.

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The total cost of fencing the garden to the nearest 660$

A circle is defined as a two-dimensional figure, which is round in shape where all the points on the surface of the circle are equidistant from the center point is called “P”. The distance from point P to the surface of the circle is called the radius of the circle (R). The twice of radius of the circle is called the diameter (D = 2R). A circle has no straight edges or corners. Similarly, the semicircle is half of the circle and also a quarter circle is formed by splitting the circle into four equal parts.

Circumference = 2 pi • radius

Circumference =2( 22/7) • 7

                         = 44 feet

The total cost of fencing the garden to the nearest $ = Length of the circumference in feet × ₱15 per foot

                    = 44 • 15 = 660

Hence,  total cost of fencing the garden 660$

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The given ratio of 0.42 to 1 means that for every 1 active subscription, there are 0.42 expired subscriptions.

What is a ratio?

The ratio is a comparison of two quantities that is expressed as a fraction. It is used to compare two values in mathematics. It is possible to write the ratio between a and b as:

a : b or a/b.

What does a ratio of 0.42 to 1 mean? The ratio of 0.42 to 1 means that there are 0.42 expired subscriptions for every 1 active subscription. It is worth noting that the ratio is less than 1, indicating that there are fewer expired subscriptions than active subscriptions.

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Answer:

5x⁴

Step-by-step explanation:

10x⁸÷2x⁴=

5x⁴

Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Answer: Look at the step-by-step

Step-by-step explanation:

Part A: We can use two right triangles that represent rise over run to explain the slope of points A and B which has the same slope of points A and C. Since there will be two right triangles, they are considered similar triangles.

AB: 154 - 110= 44

44/2= 22

AC: 154 - 66 = 88

88/2=44

This means that the slope of the two sets of points is 44, and it represents the rate of change of the shark travelling away from the ocean’s surface every minute.

Part B: The initial value is 66 (m), and it represents the initial position of the shark at 0 minutes.

The equation of line is y =  where y is the distance from ocean surface and x is the time taken in minutes , where the slope is m = 44 m/min

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of minutes be x

Let the distance from ocean surface be y

Let the first point be P ( 0 , 66 )

where P is the initial point of the graph

Let the second point be Q ( 2 , 110 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 110 - 66 ) / ( 2 - 1 )

Slope m = 44

And , the equation of line is

y - 66 = 44 ( x - 0 )

Adding 66 on both sides , we get

y = 44x + 66

Hence , the equation of line is y = 44x + 66

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The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

Answer:

x = 106º

Step-by-step explanation:

The interior angles of a triangle add up to 180º.

First let's find the third interior angle.

We already have: 37º & 69º.

Add them together.

= 106º

To find our third angle, subtract this value from 180º.

180 - 106 = 74º

This is our third interior angle.

x and 74º are supplementary angles, meaning they add up to 180º. This is because they lie on the same straight line and are divided by a single line which they share.

To find x, subtract 74 from 180.

180 - 74 = 106

x = 106º

This is your answer.

Hope this helps!

answer in the picture

Answer:

The illustration below shows the graph of yyy as a function of xxx.

Complete the following sentences based on the graph.

Initially, as xxx increases, yyy

Step-by-step explanation:

Answer:

C. One hundred twenty-five inches cubed

Step-by-step explanation:

To find the answer,

The volume of a cube is side * side * side

In a cube all the sides are the same.

5 * 5 * 5 = 125

Answer:

c

Step-by-step explanation:

bc i say so, And also With volume it is always cubed

Step 1) Find the total circumference

C = pi x d

d = r x 2

d = 5 x 2 = 10

C = pi x 10 = 10pi

Step 2) Find 1/4 of the circumference

10pi / 4 = 2.5pi = 7.85

Step 3) Add the two radii sides to the 1/4 circumference

7.85 + 5 + 5 = 17.85

C = 17.85 feet

Hope this helps! :)

Answer:

17.85ft

Step-by-step explanation:

the quarter circle is 90 degrees, so use this to find the length of the arc (the curve), by doing:

\(\frac{90}{360}\)x2x3.14x5

this will give you the answer of 7.85 ft

once you got the length of the arc, add 10 (the two radiuses), to get 17.85ft

hope this helps

Answer:

D

Step-by-step explanation:

From the triangle, we can see that:

\(ZW\cong XY, \angle W\cong \angle Y\text{ and } ZX\cong XZ\)

However, note that the angle is not between the two sides. Therefore, we cannot use SAS congruence.

Instead, this is SSA, which cannot prove congruence.

A is incorrect because we cannot say that WX is congruent to YZ from the given information.

B is incorrect because SAS cannot be applied.

C is incorrect because there is indeed another pair (ZX and XZ).

D is correct because there are two pairs of congruent sides and one pair of congruent angles, but the angles are not included (they are not between the sides). Hence, SAS cannot be applied and congruence cannot be proved.

The real-valued solution to the initial value problem is:

Y1(t) = (1/2)cos(√10t) - (3/2)sin(√10t)

Y2(t) = (5/2)cos(√10t) + (15/2)sin(√10t)

To find the eigenvalues and eigenvectors, we solve the characteristic equation:

|λ + 3 2 |

|-5 λ - 3| = 0

(λ + 3)(λ - 3) + 10 = λ^2 + 10 = 0

Solving this equation gives us the eigenvalues:

λ1 = √10i

λ2 = -√10i

For λ1, we have:

(λ1 + 3)x1 + 2x2 = 0

-5x1 + (λ1 - 3)x2 = 0

Substituting λ1 = √10i, we get:

3√10ix1 + 2x2 = 0

-5x1 + (√10i - 3)x2 = 0

Solving this system of equations, we get:

v1 = [2i, 3]

Similarly, for λ2, we have:

(λ2 + 3)x1 + 2x2 = 0

-5x1 + (λ2 - 3)x2 = 0

Substituting λ2 = -√10i, we get:

3(-√10i)x1 + 2x2 = 0

-5x1 + (-√10i - 3)x2 = 0

Solving this system of equations, we get:

v2 = [-2i, 3]

Therefore, the eigenvalues and eigenvectors are:

λ1 = √10i, v1 = [2i, 3]

λ2 = -√10i, v2 = [-2i, 3]

b. To find the real-valued solution to the initial value problem, we use the formula:

y(t) = c1e^(λ1t)v1 + c2e^(λ2t)v2

where c1 and c2 are constants determined by the initial conditions.

Substituting the given values, we get:

y(t) = c1e^(√10it)[2i, 3] + c2e^(-√10it)[-2i, 3]

Using Euler's formula e^(ix) = cos(x) + i sin(x), we can simplify this to:

y(t) = (c1 cos(√10t) + c2 cos(√10t))[2, 3] + (c1 sin(√10t) - c2 sin(√10t))[-2, 3]

Using the initial conditions y1(0) = 1 and y2(0) = -5, we get:

c1 = 1/4 and c2 = -3/4

Substituting these values, we get:

y1(t) = (1/2)cos(√10t) - (3/2)sin(√10t)

y2(t) = (5/2)cos(√10t) + (15/2)sin(√10t)

Therefore, the real-valued solution to the initial value problem is:

Y1(t) = (1/2)cos(√10t) - (3/2)sin(√10t)

Y2(t) = (5/2)cos(√10t) + (15/2)sin(√10t)

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Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

Answer:

About 8595 students

Step-by-step explanation:

If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!

Answer:

8595

Step-by-step explanation:

9/11 is the ratio of male to female

9/20 of students are male and 11/20 are female

If total number is 19100,

then male= 19100*9/20= 8595