25/8 is the value of k will the roots of the equation 2x^2-5x+k=0 be real and rational numbers
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We need to find the value of k will the roots of the equation 2x²-5x+k=0 be real and rational numbers.
A quadratic equation has real roots when the discriminant is positive or zero (not negative).
b²-4ac≥0
b=-5, a=2, c=k
(-5)²-4((2.k)≥0
25-8k≥0
25≥8k
Divide both sides by 8
25/8≥k
k≤25/8
Hence, 25/8 is the value of k will the roots of the equation 2x^2-5x+k=0 be real and rational numbers
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Shown here is a frequency distribution for the rise in tides at 30 selected locations in the U.S.Find the variance and standard deviation
What is the product written in scientific notation? (5.91×10−3)⋅(8.7×1010)
Answer:
Product [tex]5.1417 *10^{8})[/tex].
Step-by-step explanation:
Given : [tex](5.91* 10^{-3} )(8.7*10^{10})[/tex].
To find : What is the product written in scientific notation.
Solution : We have given
[tex](5.91* 10^{-3} )(8.7*10^{10})[/tex].
Combine like terms
[tex]5.91 * 8.7 * 10^{-3}*10^{10})[/tex].
[tex]51.417 * 10^{-3}*10^{10})[/tex].
[tex]51.417 *10^{7})[/tex].
In scientific notation
[tex]5.1417 *10^{8})[/tex].
Therefore, Product [tex]5.1417 *10^{8})[/tex].
Customers have two options when renting video games from a rental store. Plan A requires a $5 monthly fee and $1 per video rental. Plan B requires an $8 monthly fee and $0.75 per video rental. How many video rentals would be required each month for the plans to cost the same amount?
Cindy spends 2 hours doing English, Geometry and History homework. It takes her 35 minutes to do English homework and 55 minutes to do Geometry homework. How much time does Cindy spend on History homework? Question 7 options: A.Cindy spends 30 minutes on History homework. B.Cindy spends 25 minutes on History homework. C.Cindy spends 65 minutes on History homework. D.Cindy spends 60 minutes on History homework.
With a tail wind, a plane traveled 840 miles in 3hrs. With the same wind as a head wind, the return trip took 30 minutes longer. Find the plane's airspeed(in still air) and the wind speed....
So lost smh
To find the plane's airspeed (in still air) and wind speed, we can use the concept of relative velocity. By setting up a system of equations using the distances and times for the outbound and return trips, we can solve for the values of the airspeed and wind speed. Solving these equations, we find that the plane's airspeed is 230 mph and the wind speed is 70 mph.
Explanation:To find the plane's airspeed and wind speed, we can use the concept of relative velocity. Let's assume the plane's airspeed (in still air) is P mph and the wind speed is W mph.
On the outbound trip, with a tailwind, the plane's groundspeed (the speed relative to the ground) will be the sum of its airspeed and the wind speed: P + W mph. Since the distance traveled is 840 miles and the time taken is 3 hours, we have the equation: Distance = Speed * Time, where Speed is the groundspeed. Therefore, we can write the equation as: 840 = (P + W) * 3.
On the return trip, with the same wind as a headwind, the plane's groundspeed will be the difference between its airspeed and the wind speed: P - W mph. As it took 30 minutes longer, the time taken will be 3 hours + 0.5 hours = 3.5 hours. Using the same equation, we have: 840 = (P - W) * 3.5.
Now we have a system of equations, which we can solve to find the values of P and W. Solving these equations, we get:
Airspeed (in still air) = 230 mph
Wind speed = 70 mph
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arlene grossman earns $235 per week her federal income tax is $36.00 her FICA tax is 6.2% arlene is also subject to a 3% state income tax and a 1% city tax whats her net pay
A pet store has 24 Tiger fish and 3 aquariums. Each aquarium has the same number of fish. How many tiger fish are in each aquarium?
Final answer:
To find the number of tiger fish per aquarium, divide the total number of fish (24) by the number of aquariums (3), resulting in 8 tiger fish per aquarium.
Explanation:
The question asks us to determine how many tiger fish are in each aquarium if a pet store has 24 tiger fish and 3 aquariums, with each aquarium having the same number of fish.
To find the answer, we need to divide the total number of tiger fish by the number of aquariums:
Total number of tiger fish = 24
Number of aquariums = 3
We calculate the number of fish per aquarium by performing the division 24 ÷ 3, which equals 8. Therefore, there are 8 tiger fish in each aquarium.
For questions 1-3 match the graph to the table of values
Question 1 Options:
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Question #2 Options
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Question #3 Options
A. Time | Height
1 5
2 10
3 15
4 20
B. Time | Height
1 2
2 3
3 5
4 9
C. Time | Height
1 4
2 3
3 5
4 7
Answer: (1) The correct option is B. (2) he correct option is (C). The correct option is (A).
Explanation:
(1)
In the graphs the x-axis represents the time and the y-axis represents the height.
From given figure 1 it is noticed that the height is consistently increases as the time increases but not in the same proportion.
Because the points are not lies on a single straight line, it means the height increases but not in the same rate.
Therefore, the correct option B.
(2)
From figure 2 it is noticed that at initial state the height decreases after that height increases.
The option 1 represent the increase at constant rate, option 2 represent the increase in height but not at constant rate and option 3 represents the fluctuation in height.
Therefore the correct option is C.
(3)
From figure 3 it is noticed that all the pints lies on a single straight line, therefore the height increases at a constant rate.
So, the correct option is A.
what is the estimate of 39% of 120
Prove the alternating series test by showing that (sn) is a cauchy sequence.
Match the following items.
Am I right
1. 2x + x + 4 = -17
2
combine like terms
2. 3x + 4 = -17
3
subtraction
3. 3x = -21
4
division
4. x = -7
1
Given
A 120 lb person would weight about 20 lb on the earth's moon .A 150 lb. person would weight 28lb. on lo, a moon of jupiter.
Which of these variables is least likely to have a normal distribution?
a.annual income for all 150 employees at a local high school
b.lengths of 50 newly hatched pythons
c.heights of 100 white pine trees in a forest
d.amount of soda in 60 cups filled by an automated machine at a fast-food restaurant
e.weights of 200 of the same candy bar in a shipment to a local supermarket?
Answer:
Annual income for all 150 employees at a local high school
Step-by-step explanation:
The normal distribution is also called the Gaussian distribution. It is the most common type of distribution for statistical analysis. The normal distribution is based on a probability distribution. The data near the mean are more frequent than the data away from the mean. It is based on two parameters: the mean and the standard deviation.
As per options, option A which states ‘annual income for all 150 employees at a local high school’ the data is within the standard deviation.
I am doing Geometry and I don't know how to do this!
Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information
To find the measure of angle d, you can use the dot product formula and inverse cosine function.
Explanation:To find the measure of angle d, we need to consider the given information about vectors A and B. The vector A is represented as (122 cm, <145°) and the vector B is represented as (110 cm, <270°). The angle between two vectors can be found using the dot product formula: cos(theta) = A · B / (|A| * |B|). So, we can calculate the dot product and magnitude of vectors A and B, and then use the inverse cosine function to find the angle between them. The measure of angle d is __ degrees.
Find the value of 7 + 32 (-5 + 1) ÷ 2.
25
32
-11
-11 would be your answer since i'm guessing that the answer is 3^2 and not 32
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
If a circle takes 8 rotations to roll 5 meters, what is its radius?
What is the square root of 99 simplified?
Step-by-step explanation: To simplify the square root of 99, first create a factor tree that has 2 branches.
99 factors as 11 × 9 and 9 factors as 3 × 3.
Since we have a pair of 3's in our factor tree, a 3 can come out of the radical. Since we have a 11 that doesn't match up, it stays inside the radical and this gives us the answer of [tex]\sqrt[3]{11}[/tex].
I have also attached my work in the image provided.
The square root of 99, when simplified as much as possible, is approximately 9.94987437.
We have,
The square root of a number is a value that, when multiplied by itself, gives the original number.
In the case of the square root of 99, there is no whole number that can be multiplied by itself to result in 99.
Therefore, the square root of 99 is an irrational number.
To find an approximate value for the square root of 99, we can use a calculator or mathematical methods.
The square root of 99 is approximately 9.94987437.
This means that when we multiply 9.94987437 by itself, we get a value close to 99.
Since 9.94987437 cannot be simplified further as a whole number or a simplified radical, it is the most accurate representation of the square root of 99.
Thus,
The square root of 99, when simplified as much as possible, is approximately 9.94987437.
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What is the relationship between 9.6×10^−2 and 9.6×10^−5 ? Select from the drop-down menus to correctly complete the statement. 9.6×10−2 is ? times ? than 9.6×10−5 .
[tex]9.6\times 10^-^2[/tex] is 1000 times greater than [tex]9.6\times 10^-^5[/tex]
Explanation
The given numbers are: [tex]9.6\times 10^-^2[/tex] and [tex]9.6\times 10^-^5[/tex]
Dividing the two numbers, we will get.....
[tex]\frac{9.6\times 10^-^2}{9.6\times 10^-^5} = \frac{10^-^2}{10^-^5}= 10^-^2\times 10^5 = 10^3 = 1000[/tex]
As, [tex]\frac{9.6\times 10^-^2}{9.6\times 10^-^5} > 1[/tex]
So, [tex]9.6\times 10^-^2>9.6\times 10^-^5[/tex]
Thus, [tex]9.6\times 10^-^2[/tex] is 1000 times greater than [tex]9.6\times 10^-^5[/tex]
Question 20 read the question and type your response in the box below the question. your response will be saved automatically. write an example of a linear equation with one variable and infinitely many solutions.
You are designing a rectangular sign for your school’s football team. The sign will be 6 yd wide and 9 ft high. How many square yards of material do you need?
Hurry please!! Use any model you choose to solve the story problem. Zoey found that box of dog food was left in the pantry. She shared this food equally among her 4 dogs. What fraction of the full box of dog food did each dog get?
I need to know how to do this question
graph the linear equation. find three points that solve the equation, then plot on the graph -5x+2y=11
To graph the linear equation -5x+2y=11, choose x values and solve for y to find points for plotting. Three example points are x = 0, 2, and -5 with y values of 11/2, 8, and 21 respectively.
Explanation:Graphing the Linear Equation -5x + 2y = 11:
To find points, we can choose values for x and then solve for y.Choose x = 0, x = 2, x = -5 as examples.For x = 0, y = 11/2; for x = 2, y = 8; for x = -5, y = 21. Plot these points on a graph and draw a straight line through them.What is the slope?
What is the y intercept?
What is the x intercept?
What is the equation of the line in slope intercept form?
What is the equation of the line in standard form?
Answer: Slope- (-1/2)
Y intercept- (-4)
the x intercept is -8
the equation of the line in slope intercept form is y= -1/2x-4
the equation of the line in standard form is -1/2x-4y=0
Liam bought a picture frame that cost $12 plus 8% sales tax. He wrote the expression 1.08(12) to find his total cost.
Which expression is equivalent to the total cost?
(12+0.08)12
12 + 0.08
1+0.08(12)
(1+0.08)12
The Answer Is D.(1+0.08)12
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The expression which is equivalent to the total cost comprising of the cost of frame and sales tax is (1 + 0.08)12
Given the Parameters :
Cost of frame = $12 Sales tax = 8% = 0.08The total cost can be expressed thus :
Cost of frame = 100% of $12
Sales tax amount = 8% of $12
This can be expressed as :
(100% + 8%) × 12 (1 + 0.08) × 12Therefore, the appropriate expression ls (1 + 0.08)12
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Solve using quadratic equation:
3x(^2)-2x+1=0
[^2 means 2 squared]
If you ask three strangers about their birthdays, what is the probability:
Find the perimeter of the figure. 2 1/4 in, 4 1/12in, 3 2/3in