Final answer:
To find the value of x in the given ellipse equation centered at (4.619, 5.425), substitute the expressions for x and y and rearrange the tangent equation to solve for x, resulting in x = 78.5.
Explanation:
To find the value of x, you are given the information related to the center and the major axis of the ellipse. First, substitute the given expressions for x and y into their respective places in the equation.
Then, using the equation for a tangent to an ellipse, rearrange it to match the form provided. This rearranged equation will give you the needed value of x.
By following the steps outlined and applying the given information correctly, you can determine that the value of x is 78.5.
an airplane flies 105 miles in 1/2 hour . how far can it fly in1 1/4 hours at the same rate of speed.
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
4 tulips to 6 daffodils in ratio
The ratio of 4 tulips to 6 daffodils will be 2:3.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The ratio of 4 tulips to 6 daffodils will be calculated as below:-
Ratio = 4 tulips : 6 daffodils = 2 tulips : 3 daffodils
Therefore, the ratio of 4 tulips to 6 daffodils will be 2:3.
To know more about ratios and proportions follow
https://brainly.com/question/12024093
#SPJ2
solve for w.
7w=11.2
the football team offense began a drive from their 20 yard line. They gained 8 yards, lost 12 yards and lost 2 yards before having to kick the ball. What yard line were they on when they had to kick the ball
The coordinates of three vertices of rectangle are A(1,-5),B(1,3),and C(10,3). Find the coordinates of the fourth vertex. Then, find the area of the rectangle.
-0.09 as a fraction , but the 09 is repeating
What value does 4 represents in the number 487.009 ?
3rd place to the left of the decimal point is the hundreds place
so the number 4 represents 4 hundred
NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
(5, 17), because one of the lines passes through this point
(5, 17), because the point lies between the two axes
(4, 14), because the point does not lie on any axis
(4, 14), because both lines pass through this point
Answer:
answer D
Step-by-step explanation:
HELP QUICK !!!!!! Give an example of an absolute value problem with no solution
Examples in real life and physics provide contexts for understanding situations where a direct solution is not possible or applicable.
An absolute value problem with no solution is one where the absolute value expression is set to a negative number. Since the absolute value of any number represents its distance from zero on a number line, it can never be negative. Consequently, an equation like |x| = -3 has no solution because there is no real number x that, when taken as an absolute value, results in a negative number.
Real-world Example...
In everyday life, think of a scenario such as locking oneself out of an encrypted system without any means of retrieval. The problem can't be solved directly (as there is no way to bypass encryption), but one might approach the matter sideways by resetting the system entirely, which doesn't address the original issue of being locked out.
Physics Context
In physics, an example of a situation where there is a force and a displacement but no work is done is when the force is applied perpendicular to the direction of the displacement. Since work is defined as the dot product of force and displacement, when the angle between them is 90 degrees, this product and thus work is zero.
What is 6x+34=8x+14?
Create a scenario that leads to an inequality of the form ax + b > c.
Answer:
Ben needs more than 200 points to unlock the next level in the game
He already has 45 points
For every win, he receives 5 points
No. of wins required: x
5x + 45 > 200
A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water?
Answer:
The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of where
is the volume of water in the can after minutes
is the changing rate
is the initial volume when time is 0
Substitute all the values into the form we have
Step-by-step explanation:
y=0.15x +5
Write 18/13 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 4.25
A fraction is a way to describe a part of a whole. The given fraction 18/13 in the form of a decimal will be equal to 1.38.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction 18/13 in the form of a decimal can be written as,
18/13
= 1 5/13 (In the form of a mixed fraction)
= 1 + 0.384615
= 1.384615 ≈ 1.38 (In the form of a Decimal)
Hence, The given fraction 18/13 in the form of a decimal will be equal to 1.38.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
What is the product of 4xy and y2 + 2x?
4xy + 4xy 3
8x 2y + 4xy2
8x 2 + 4xy 3
8x 2y + 4xy3
et x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that x has a normal distribution with μ = 11 feet per year and σ = 2 feet per year. Under the influence of prevailing wind patterns, what is the probability of each of the following? (Round your answers to four decimal places.) (a) an escape dune will move a total distance of more than 90 feet in 7 years
Given the following which is the mean and standard deviation of the dune’s movement over one year and need to find out what the ten year mean and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per decade. The ten-year standard deviation is somewhat more complicated. Multiple independent trials accumulate standard deviation as the square root of the number of trials since an unusually high level of movement ten years in a row. The decade is going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
90 < 110 + z (6.32 feet)
-20 < z (6.32 feet)
z > - 3.16
By using the z table, it shows the probability of 0.9992. This result shows that as 90 feet is lesser than the mean travel that is expected over decade.
To find the probability that a sand dune moves more than 90 feet in 7 years, one must calculate a z-score using the mean annual movement, standard deviation, and the 7-year period, then find the corresponding probability in a standard normal distribution table or calculator.
Explanation:The question involves calculating the probability that a random variable, X, will exceed a certain value over a period using the normal distribution. The random variable X in this context represents the movement of sand dunes per year, which is assumed to be normally distributed with mean (μ) of 11 feet per year and a standard deviation (σ) of 2 feet per year.
To find the probability of the dune moving more than 90 feet in 7 years, we first calculate the mean movement for 7 years, which is 7 × μ = 7 × 11 feet = 77 feet. Next, we calculate how much more than 77 feet does 90 feet represent. This difference is 90 - 77 = 13 feet. Then, we standardize this difference by dividing by the standard deviation over the square root of 7 years to get the z-score:
Z = (90 - 7×11) / (σ × √7) = (90 - 77) / (2 × √7) = 13 / (2 × √7)
The z-score helps us find the probability that X is more than the calculated mean for 7 years. We look up this z-score in the standard normal distribution table or use a calculator to find the probability that corresponds to this z-score. This gives us the probability that a dune will move more than 90 feet in 7 years. The answer should be rounded to four decimal places as per the instruction in the question.
Learn more about Probability Calculation here:https://brainly.com/question/33594301
#SPJ3
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month?
if x=2 , y=3 , and z=4 , what Is xyz?
Silvia e Rebecca acquistano on line 10 cubi di polistirolo da rivestire di stoffa.Le dimensioni di ogni cubo riportate nel sito sono 150x150x150mm.
Possono essere sufficenti 2m^2 di stoffa?
Si perché?
No perché?
Which of these is mostly likely to describe the change received from a cash purchase?
A.Whole Number
B.Negative Integer
C.Rational Number
D.Irrational Number
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?
To determine the actual size of an ice fishing hut from a 1:35 scale model, multiply each model dimension by 35, resulting in a real hut approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
The dimensions of the actual ice fishing hut, based on the 1:35 scale model, can be found by multiplying each dimension of the model by 35. To find the height, multiply 17 cm by 35, which gives 595 cm or 5.95 meters. To find the width, multiply 18 cm by 35, which gives 630 cm or 6.3 meters. Finally, to find the length, multiply 19.7 cm by 35, resulting in 689.5 cm or 6.895 meters. Therefore, the actual dimensions of the ice fishing hut are approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
the cost per month of one cell phone plan is $30 plus and additional nickel for each text. write an equation that defines the total monthly cost,c, as a function of the number of taxts,t
In a public opinion poll,624 people from a sample of 1,100 indicated they would vote for a specific candidate.how many votes can the candidate expect to receive from a population of 40,000
Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?
value = v
v = 0.05n + 0.10d
Answer: v = 0.05n + 0.10d
Step-by-step explanation:
make a word problem with the problem of 30 + 2d ex the outcome of 1,000 divided by x
The plant where you work has a cylindrical oil tank that is 2.5 feet across on the inside and 10 feet high. The depth of the oil in the tank is 2 feet. About how many gallons of oil ate in the tank
Answer:
There are 73.38 gallons in the tank.
Step-by-step explanation:
The diameter of the tank is = 2.5 feet
So, the radius is = [tex]2.5/2=1.25[/tex] feet
The depth of the tank = 2 feet
The volume of the cylinder is = [tex]\pi r^{2} h[/tex]
V=[tex]3.14\times(1.25)^{2} (2)[/tex]
= 9.81 cubic feet
Now, 1 cubic feet = 7.48 gallons
So, 9.81 cubic feet = [tex]7.48\times9.81=73.38[/tex] gallons
So, there are 73.38 gallons in the tank.
1) Lee y plantea una ecuación que sea útil para resolver cada ecuación.
a. El perímetro de un jardín rectangular es de 58 m. Si el lado mayor mide 11 m mas que el lado menor.¿Cuanto mide los lados del jardín?
Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.
Please I have no clue