What is 96,902,123 in expanded form

Answer:

Area original = 8

Area new = 24

Area final = 3 x area original

True

Step-by-step explanation:

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

a) original: 8

final: 24

b) 3

c) true

Step-by-step explanation:

You want to leave a 18% tip on a meal that cost $150.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or

0.18 x $150.00=$27.00.

So, the amount of tip you are going to leave is $27.00.

This makes the total cost of your meal (to write on your charge slip or other payment)

$150.00 + $27.00 = $177.00.

-By TheRealMarinette

Please do not copy N Paste This Answer.

Ar of triangle = 3b , Ar of triangle = 6a a = 12/root3

Answer: No

Step-by-step explanation: You can use the Vertical Line Test, a straight up and down line, to tell if it is a function or not. Although the ends are not interfering with other parts of the graph, it matters where you put the line.

Answer

If I am not mistaken it's not a function

Step-by-step explanation:

So I am not a mathematician or anything but for a function to be graphed, it can only have one output (which is y), and one input (which is x), in this case, there seems to be more than just those outputs/inputs which is why I believe it is not a function. I hope this helped. (I'm so sorry if I was mistaken)

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Answer:

Step-by-step explanation:

So, to go about your question, we must first ask, how many hours a week is being worked?

In this problem, that is 9 hours per week.

Next, we must question how much per week is made

That is $92 per week

Finally, we must determine if the allowance is occuring many times in the week or just once.

In this problem, that is only occuring once for the week.

So, the equation we must setup is 9x +20 =92.

To solve the equation, we need to subtract 20 on both sides to isolate the variable, x.

9x+20=92

     -20     -20

Now our equation is

9x=72

Now, to finally get x by itself or to isolate x, you should divide 9 on both sides to cancel out the 9 being multiplied by the x.

9x=72

9     9

x=8 because of 72/9 is equal to 8.

I hope this helps, and I will answer any questions you have.

-5x3 +9

Step-by-step explanation:

because 5 x 3 is 15 and you have negative marks by the numbers so 15 - 6 would be 9 So you'd add 9 to the fifteen and then you have negative 6

The ratio of the area to the perimeter of an equilateral triangle with side length s is (sqrt(3)s²/4)/(3s), which simplifies to sqrt(3)s/12.

To calculate the ratio of the area to the perimeter, we first find the area and perimeter of the equilateral triangle. The area of an equilateral triangle with side length s can be found using the formula A = (sqrt(3)s²)/4. The perimeter is the sum of all side lengths, so for an equilateral triangle, it is P = 3s.

Now, we find the ratio by dividing the area by the perimeter: (sqrt(3)s²/4)/(3s). We can simplify this expression by cancelling the s term from both the numerator and the denominator: sqrt(3)s/12. This is the ratio of the area to the perimeter of an equilateral triangle in simplest radical form.

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The linear velocity of the International Space Station is 17,638 miles per hour.

To find the linear velocity in miles per hour of the International Space Station (ISS), you'll need to use the given information about its orbit and the number of orbits it makes per day.

1. The ISS orbits approximately 250 miles above the Earth's surface.

2. It makes 16 orbits per day.

To find the linear velocity, you first need to determine the circumference of the orbit. The orbit's radius is the sum of the Earth's radius (3,959 miles) and the altitude of the ISS (250 miles).

Step 1: Calculate the orbit's radius

Orbit radius = Earth's radius + altitude of ISS

Orbit radius = 3,959 miles + 250 miles

Orbit radius = 4,209 miles

Step 2: Calculate the circumference of the orbit

Circumference = 2 * pi * orbit radius

Circumference ≈ 2 * 3.1416 * 4,209 miles

Circumference ≈ 26,458 miles

Step 3: Determine the total distance the ISS travels in a day

Total distance = circumference * number of orbits

Total distance = 26,458 miles * 16

Total distance ≈ 423,328 miles

Step 4: Calculate the linear velocity in miles per hour

Linear velocity = total distance / 24 hours

Linear velocity ≈ 423,328 miles / 24 hours

Linear velocity ≈ 17,638 miles per hour

Rounded to the nearest whole number, the linear velocity of the International Space Station is approximately 17,638 miles per hour.

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Answer:

\(2x - 3 + \frac{1}{x-1}\)

Step-by-step explanation:

Attachment :)

We use long division

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

The answer is 5

Step-by-step explanation:

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The diagonal of the rectangular soccer field is approximately 125.2 meters long.

To find the distance of the diagonal of the rectangular soccer field, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the two sides are the length and width of the field.

Using this formula, we can find the length of the diagonal as follows:

\(diagonal^2 = length^2 + width^2\)

\(diagonal^2 = (105)^2 + (68)^2\)

\(diagonal^2 = 11,025 + 4,624\)

\(diagonal^2 = 15,649\)

diagonal ≈ 125.2 meters

Running the diagonal of a soccer field can be a challenging task, but it can also be a great way to improve endurance, speed, and agility. To make the most of this exercise, it is important to warm up properly, wear comfortable and supportive shoes, and maintain proper form and technique throughout the run. Additionally, varying the speed and distance of the diagonal run can help to keep the workout interesting and challenging.

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Therefore, the (positive) margin of error for the 90% confidence interval is approximately 7.82 when the sample mean is 100, the sample standard deviation is 19, and the sample size is 16.

To find the margin of error for a 90% confidence interval, we need to use the formula:

Margin of Error = Critical Value * Standard Error

The critical value is obtained from the z-table for a 90% confidence level. For a 90% confidence level, the critical value is approximately 1.645.

The standard error can be calculated as the sample standard deviation divided by the square root of the sample size. In this case, the sample standard deviation is 19 and the sample size is 16.

Standard Error = 19 / sqrt(16) = 19 / 4 = 4.75

Now we can calculate the margin of error:

Margin of Error = 1.645 * 4.75 ≈ 7.82

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Answer:

.........................................

Step-by-step explanation:

.............................................................................................................................................................................................

Answer:

11x + 26

Step-by-step explanation:

5x + 4x + 2x = 11x

6+8+2+10=26

11x + 26

Given the position function r(t) = ti + (2t^2 + 7)j, we can find the velocity and acceleration vectors by taking the first and second derivatives of r(t) with respect to time t.

1. Find the velocity vector v(t) by taking the first derivative of r(t):

v(t) = dr(t)/dt

= (d(t)/dt)i + (d(2t^2 + 7)/dt)j v(t)

= (1)i + (4t)j

2. Find the acceleration vector a(t) by taking the second derivative of r(t):

a(t) = dv(t)/dt

= (d(1)/dt)i + (d(4t)/dt)j a(t)

= (0)i + (4)j

Now we can find the velocity and acceleration vectors at t = 0:

v(0) = (1)i + (4*0)j

= i a(0)

= (0)i + (4)j

= 4j

So the velocity vector at t = 0 is v(0) = i, and the acceleration vector at t = 0 is a(0) = 4j.

To sketch them as vectors on the curve, draw the parabola y = 2x^2 + 7. At the point (0,7), which corresponds to t = 0, draw the velocity vector as a horizontal arrow pointing to the right (since it is i), and draw the acceleration vector as a vertical arrow pointing upward (since it is 4j).

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As per the question, All four students A, B, C, and D are loss-averse over money and have the same value function as below:v(x dollars)={√x     x ≥ 0   {-2√-x  x < 0They are also loss averse over mugs and have the same value function.

v(y mugs)={3y y ≥ 0
        {4y y < 0
Now, we have to find the values of a, b, c and d as below:
- Student A owns a mug and is willing to sell it for a price of a dollars or more. i.e v(a) = v(0) + v(a-A), where A is the initial endowment of A. According to the given function, v(0) = 0, v(a-A) = 3, and v(A) = 4.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. i.e v(B-b) = v(B) - v(0), where B is the initial endowment of B. According to the given function, v(0) = 0, v(B-b) = -4, and v(B) = -3.
So, b ≤ B+1/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. i.e v(c) = v(0) + v(c), where C is the initial endowment of C. According to the given function, v(0) = 0, v(c) = 3.
So, c = C/2
- Student D is indifferent between losing a mug and losing d dollars. i.e v(D-d) = v(D) - v(0), where D is the initial endowment of D. According to the given function, v(0) = 0, v(D-d) = -3.
So, d = D/2
2) In this case, value function for money changes to:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
However, the value function for mugs remains the same:v(y mugs)={3y y ≥ 0
         {4y y < 0
Therefore, values for a, b, c, and d will remain the same as calculated in part (1).
3) In this case, students are not loss-averse. Value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs:v(y mugs)={3y y ≥ 0
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 3 initially and he would sell it for 3 or more.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3
4) In this case, value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs: Mug will have a value of 4 for someone who owns it and 3 for someone who does not own it.
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 4 initially and he would sell it for 4 or more.
So, a ≥ A+2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially and he would like to buy it for 3.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3.

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Answer:

8+8

Step-by-step explanation:

Answer: candle burns down 1 cm per hour

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

Answer:

The answer is 64.

Step-by-step explanation:

16-12=4.

4×16×1=64.

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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Answer:

95 minutes

Step-by-step explanation:

Add together how long it has been cooking plus how long it needs to cook

48+47 = 95

95 minutes

Answer:

155

Step-by-step explanation:

Add 60 and 48 to get 108 then add 108 and 47 to get 155

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

\( \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5\)

Answer:

5

Step-by-step explanation:

Answer: The SOLUTION SET, x < 3, of the inequality 50 + 10x ≤ 80 represents the number of events the family can attend and still be within their budget.

To understand why, let's break it down:

The left-hand side of the inequality, 50 + 10x, represents the total amount spent on the museum entry fee ($50) plus the cost of attending x events at $10 per event.

The right-hand side of the inequality, 80, represents the maximum budget the family has for the trip.

The inequality 50 + 10x ≤ 80 states that the total amount spent on museum entry fee and events should be less than or equal to the maximum budget.

Now, we are looking for the SOLUTION SET of the inequality. The expression x < 3 indicates that the number of events attended, represented by x, should be less than 3. This means the family can attend a maximum of 2 events (x can be 0, 1, or 2) and still stay within their budget.

Therefore, the SOLUTION SET, x < 3, represents the number of events the family can attend and still be within budget.

Answer:

3

Step-by-step explanation:

If a family went to the museum and paid $50 to get in, we would have 30 dollars left.  The family can go to three events total before they reach their budget.