The three routes are I-405 N, WA-522 E, and WA-202 E. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles, via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.
There are several routes that one can take to get from Seattle to Duvall. One of the routes is using I-405 N. The distance between Seattle and Duvall via I-405 N is approximately 26.2 miles. Other routes include taking WA-522 E and WA-202 E. The distance between Seattle and Duvall via WA-522 E is approximately 23.9 miles, while the distance between Seattle and Duvall via WA-202 E is approximately 29.8 miles.
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In the Lincoln Grade School, 200 students are in the first grade, 150 are in the second grade, 300 in the third grade, 250 in the fourth grade, 200 in the fifth grade, and 275 in the sixth grade. Construct a bar graph that represents the number of students per grade at Lincoln Grade School. Label the bar graph with a title and the correct, consistent scale.
Answer:
In image
Step-by-step explanation:
-------------------
Which of the following polynomials is the correct simplified form of 2 y 5 + 4 y 5 − 3 y 3 − 5 y 3 ?
The correct simplified form of the given polynomial is 6y⁵ - 8y³.
Given polynomial is 2y⁵ + 4y⁵ - 3y³ - 5y³. We have to simplify this polynomial.
To simplify the polynomial, we need to combine the like terms.Similar terms are:2y⁵ and 4y⁵.
Combining these two terms, we get,2y⁵ + 4y⁵ = 6y⁵(-3y³) and (-5y³) are already like terms, so, we get,-3y³ - 5y³ = -8y³
Now, combining both, we get,2y⁵ + 4y⁵ - 3y³ - 5y³ = 6y⁵ - 8y³
So, the correct simplified form of the given polynomial is 6y⁵ - 8y³.
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what time is it so yea pls answer
Answer:
11:07 Pacific Time
Step-by-step explanation:
it depends on your time zone :)
The distance between the points (-10,-10) and (-1,2)
The distance between the points (-10, -10) and (-1, 2) is 15 units.
To calculate the distance between two points in a two-dimensional Cartesian coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the length of the hypotenuse of a right triangle formed by the two points and the origin.
Let's consider the two given points: Point A (-10, -10) and Point B (-1, 2).
The distance formula is as follows:
d = \(√((x2 - x1)^2 + (y2 - y1)^2)\)
Using the given points, we substitute the values into the formula:
d = \(√((-1 - (-10))^2 + (2 - (-10))^2)\)
= \(√((9)^2 + (12)^2)\)
= \(√(81 + 144)\)
= √225
= 15
We can visualize this by plotting the two points on a Cartesian plane. Point A (-10, -10) would be located in the third quadrant, and Point B (-1, 2) would be located in the second quadrant. The distance between these two points is the length of the straight line connecting them, which is 15 units.
It's important to note that the distance is always a positive value, as it represents the length between two points and does not have a direction associated with it.
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A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
You may need to use the appropriate appendix table or technology to answer this question.
Although studies continue to show smoking leads to significant health problems, 20% of adults in a country smoke. Consider a group of 450 adults.
(b)What is the probability that fewer than 80 smoke? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
(c)What is the probability that from 95 to 100 smoke? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
(d)What is the probability that 115 or more smoke? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
To find the probability that fewer than 80 adults smoke, we can use the normal approximation of the binomial distribution. The mean (μ) of the binomial distribution is given by μ = n × p, where n is the number of trials and p is the probability of success.
In this case, n = 450 and p = 0.2. The standard deviation (σ) is calculated as σ = \(\sqrt {(n X p X (1 - p))}\)
Using these values, we can standardize the variable and use the normal distribution table or a calculator to find the probability.
(c) To find the probability that from 95 to 100 adults smoke, we can again use the normal approximation of the binomial distribution. calculate the z-scores for both values and use the standard normal distribution table or a calculator to find the probabilities associated with those z-scores. Then, subtract the probability associated with 95 from the probability associated with 100 to get the desired probability.
(d) To find the probability that 115 or more adults smoke, use the normal approximation of the binomial distribution. calculate the z-score for 115 and use the standard normal distribution table or a calculator to find the probability associated with that z-score. Then, subtract that probability from 1 to get the probability of 115 or more adults smoking.
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There are 80 goldfish in the tank at the store. How many ways can salley choose 9 of them?
There are approximately 1,274,274 ways for Salley to choose goldfish in the tank at the store.
How to calculate the number of ways Salley can choose 9 goldfish out of a total of 80 goldfish?To calculate the number of ways Salley can choose 9 goldfish out of a total of 80 goldfish, we can use the concept of combinations.
The formula for calculating combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
Where n represents the total number of items (in this case, 80 goldfish) and r represents the number of items to be chosen (in this case, 9 goldfish).
Using the formula, we can calculate the number of ways as follows:
C(80, 9) = 80! / (9! * (80 - 9)!)
Calculating this expression:
80! = 80 * 79 * 78 * ... * 2 * 1 (factorial of 80)
9! = 9 * 8 * 7 * ... * 2 * 1 (factorial of 9)
71! = 71 * 70 * 69 * ... * 2 * 1 (factorial of 71)
C(80, 9) = 80! / (9! * 71!)
Performing the calculation:
C(80, 9) = (80 * 79 * 78 * ... * 2 * 1) / ((9 * 8 * 7 * ... * 2 * 1) * (71 * 70 * 69 * ... * 2 * 1))
Using a calculator or computer software, the value of C(80, 9) is approximately 1,274,274.
Therefore, there are approximately 1,274,274 ways for Salley to choose 9 goldfish out of the 80 goldfish in the tank at the store.
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Can a triangle have sides with the given engths? Explain. a=6 yd, b=11 yd, c=16 yd
A. No because the sum of the lengths of the two shorter sides is greater than the length of the third side, and this contradicts the triangle inequality theorem.
Answer:
Yes
Step-by-step explanation:
When the value of the two shorter sides are greater than the longest one, then that will form a triangle.
3) Uranus has a diameter of 50724000 metres. Calculate the volume of Uranus in m³,
giving your answer in standard form to 3 decimal places.
Note that the formula for volume of a sphere is V=r^3 where r is radius.
12
[1]
The volume of Uranus having a diameter of 50724000 m is 6.829 x 1022 m3.
What is meant by volume?Volume is defined as the quantity of the three-dimensional space occupied by a closed three-dimensional figure. In the case of any object, volume is measured in cubic units. In cases of solid objects, their volume is measured in cubic units of length, such as meters, centimeters, etc.
To calculate the volume of spherical objects, viz. for a planet (assuming it is an ideal sphere in shape), the following formula is applied:
Volume (V) = 4/3 π\(R^{3}\) cubic units
where R = radius and π = 3.14, a mathematical constant.
It is given that the diameter ( D ) of Uranus = 50724000 m.
Therefore radius ( R ) = D/ 2 = 50724000 m/ 2 = 25362000 m.
Therefore volume of planet Uranus = 4/3 π\(R^{3}\).
Substituting π by 3.14 and R by 25362000m, we get
Volume = 6.829 x 1022 \(m^{3}\)
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a) Transform the DE :( t^2-5t + 4)y" + ty' +2y = cot(t); y(2)=1, y' (2) = 0 into a system of two first order DE in matrix form. b) Give the interval of t for the FEUT to apply.
The interval for the FEUT to apply is: t ∈ (-∞, 0) U (0, ∞)
a) To transform the given DE into a system of two first order DE in matrix form, we first define:
y1 = y
y2 = y'
Then, we can rewrite the given DE as:
[t^2 - 5t + 4] y2' + [t] y2 + [2] y1 = cot(t)
Now, we can express this system in matrix form as:
[0 1] [y1'] [0]
[-2/t 5/t-4] [y2'] = [cot(t)/(t^2-5t+4)]
Therefore, the system of two first order DE in matrix form is:
y' = A(t) y + b(t)
where A(t) = [0 1; -2/t 5/t-4] and b(t) = [0; cot(t)/(t^2-5t+4)]
b) To determine the interval of t for the FEUT (Finite Element Unfitted Taylor) method to apply, we need to consider the singularities of the system matrix A(t). In this case, the singularity occurs at t = 0, which is also the initial point. Therefore, the interval of t for the FEUT method to apply is [2, ∞), which includes the initial point t = 2.
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Mr Castle shares out 48 marbles between Emily
and Asif in the ratio 5: 1
How many marbles does each child get?
Step-by-step explanation:
Hope it will help you a lot.
Complete this item. Do not multiply factors (i.e. (a - b)(a + 2b)).
Simplify:
2y2 - 7y -15 9y2 - 1 y2 + 3y-10
3y2 - 8y-3 472-92y2 - 9y+ 9
Answer:
i have no idea if this is right tbh i got it off another site- sorry its so late bro. maybe itll help other ppl
Step-by-step explanation:
[(2y + 3)(y - 5)]/[(3y + 1)(y - 3)][(3y - 1)(3y + 1)]/[(2y - 3)(2y + 3)[(2y - 3)(y - 3)/[(y - 2)(y + 5)] =
[(y - 5)(3y - 1)]/[(y - 2)(y + 5)]
The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)].
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
[(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9)
⇒ [(2y - 3)(y - 5)]/[(3y + 1)(y - 3) x [(3y - 1)(3y + 1)/[(2y + 3)(2y - 3)] + [(y + 2)(y + 5)\/[(2y - 3)(y - 3)]
⇒ [ (2y - 3)(y - 5) + (y - 2)(y + 5)]/(2y - 3)(y - 3)
⇒ (4y² - 13y - 5)/[(y - 3)(2y - 3)]
Hence "The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)]".
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PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answer: 1. 64 | 2. 32
Step-by-step explanation:
Formula for a rectangle is Area = Length*Width
Therefore: 8*8 = 64
Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width
Therefore: 1/2*8*8 = 32
Hope this helps :)
Help please!! Due today I'll give brainliest and a 5 star rating to everyone ILL DO ANYTHING JUST HELPADWIEFHRJ
Answer:
i think the answer would be B i think if its wrong i am sorry
Step-by-step explanation:
WHY are my cheeks so big and juicy what do I do
Answer:
Ask for a refund. Those fake buttox's aren't right for you,
Step-by-step explanation:
Answer:
You are Theodore from Alvin and the chipmunks, You can use them to store food
Step-by-step explanation:
ok
joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day. on days when he doesn't walk, he runs all that distance at the gym. but if he walks 2 blocks, he cuts of 1/12 a mile off his run. today joshua walked 12 1 12 blocks. how far will he run at the gym?
3.75 miles he run at the gym.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.
On days when he doesn't walk, he runs all that distance at the gym.
But he walks 2 blocks, he cuts of 1/12 a mile off his run.
Today Joshua walked 12 blocks.
As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.
He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.
4.25 - 6(1/12) = 3.75
Therefore, 3.75 miles he run at the gym.
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Given csc0=178, determine the values for "a" and "b" in cos0=ab
The value of a and b are respectively 15 and 17 respectively.
What are trigonometry ratios?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Given that csc θ = 17/8 and cos θ = a/b.
The reciprocal of sin θ is csc θ.
Therefore,
1/sinθ = 17/8
or, sin θ = 8 /17
Applying the trigonometry identity cos²θ = 1- sin²θ
cos²θ = 1- (8/17)²
cos²θ = 1- 64/289
cos²θ = 225/289
cos θ = 15/17
The value of a is 15 and the value of b is 17.
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the perimeter of the rectangle is 36 feet. the length is 2 less than 3 times the width. what is the length? what is the width
Answer:
Step-by-step explanation: 2 4 1 5 2 1 3 1 3 1 3 4 2 44 5 3 i dont know
Robbie made a scale drawing of a neighborhood park. A Soccer field in the park is 14 inches long
in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards
Answer:
14 it is not 14
Step-by-step explanation:
Answer:
ITS NOT 14
Step-by-step explanation:
I got it wrong anything besides that
what will be the result when you add all integers from -100 to 100?
Answer:
0
Step-by-step explanation:
The negative would just cancel the positives out. Therefore, since they are both adding together the same things the negatives would make the outcome 0.
Mike pays $285 in rent every week.
How much will he pay in rent for the entire year?
Answer:
14,820
Step-by-step explanation:
A year has 52 weeks. 285 x 52 = 14820
Answer:
$14820
Step-by-step explanation:
There are 52 weeks in a year. Therefore 285 x 52 = 14820
An antibiotic is attacking a bacterial infection so quickly that the number of bacteria is exponentially decreasing continuously. Originally there were 2 million bacteria and now there are 0. 5 million bacteria. Using k = 0. 05 for the hourly rate of decay, how many hours did it take to its current level?
about 13. 9 hours
about 9. 9 hours
about 16. 6 hours
about 27. 7 hours
It took approximately 13.9 hours for the antibiotic to reduce the number of bacteria from 2 million to 0.5 million, based on a decay rate of 0.05 per hour.
The decay of bacteria can be modeled using exponential decay, where the rate of decay is proportional to the current population. In this case, the decay rate is given as k = 0.05 per hour.
We can use the exponential decay formula: N(t) = N₀ * \(e^{-kt}\), where N(t) is the population at time t, N₀ is the initial population, k is the decay rate, and e is the base of the natural logarithm.
Given that N₀ = 2 million and N(t) = 0.5 million, we can solve for t. Plugging in the values into the formula, we get:
0.5 million = 2 million * \(e^{-0.05t}\)
Dividing both sides by 2 million, we have:
0.25 = \(e^{-0.05t}\)
Taking the natural logarithm of both sides to isolate the exponent, we get:
ln(0.25) = -0.05t
Solving for t, we have:
t = (ln(0.25)) / (-0.05) ≈ 13.9 hours
Therefore, it took approximately 13.9 hours for the antibiotic to reduce the number of bacteria from 2 million to 0.5 million.
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pls help
pls
pls
it's very hard
Answer:
Simplest Form. 2/3 * 3 3/5 = 125 = 2 25 = 2.4. Spelled result in words is twelve fifths (or two and two fifths).
Answer 12/5
Step-by-step explanation:
If i am wrong sorry :(
Haruka hiked several kilometers in the morning. She hiked only
6
66 kilometers in the afternoon, which was
25
%
25%25, percent less than she had hiked in the morning.
How many kilometers did Haruka hike in all?
Answer:
14 km
Step-by-step explanation:
6 = M - .25M = .75M
M = 6/.75 = 8 km in the morning
8 + 6 = 14
an x-bar--r chart has been in control for some time. if the range suddenly and significantly increases, the mean will:
If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.
The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.
If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.
To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.
This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.
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Use the diagram to answer the question.
Which of the following statements are true based on the diagram?
Points B, C, and D lie in Plane N.
Points B, C, and D are on line n
Points B and D are on line n, but Point C is not.
Answer:
Points B, C, and D are on line n
Step-by-step explanation:
Answer:
лттьло. ьнеь е екбюедку к е. еккд
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
For a ride on a rental scooter, Boris paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Boris's ride was $10.52 . For how many minutes did Boris ride the scooter?
Answer: 119 minutes
Step-by-step explanation:
What is 5 33/100 simplifed?
Answer:
it is simplified but you can turn it into a decimal 5.33
sam rolls 3 standard fair dice. that probability that the three numbers rolled on the dice are the sides of a triangle is , where are relatively prime positive integers. what is the value of ?
The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.
Here,
When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).
Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.
As a result, 186 outcomes or triplets are possible and satisfy this property.
Hence, the required probability is 186/216=31/36.
The required probability is 31/36 for three dice rolls to produce triangle sides.
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