what is the solution to this equation? 4x^2+98=0
Answers
Follow below steps;
The equation to solve is 4x² + 98 = 0.
1. Subtract 98 from both sides to get 4x² = -98.
2. Divide by 4 to obtain x² = -24.5.
3. Take the square root, remembering that √(-1) = i, so x = ±√24.5i.
Related Questions
The daily rainfall during two week period in april weeks was:1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. what was the mode during this two week peroid
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Answer:
0
Step-by-step explanation:
The mode of the data is 2 which occurs more frequently during these two weeks.
What is the mode?Mode is the number that appears most frequently in the given set of data. The Median represents the middle value of the given data when arranged in a particular order.
The daily rainfall during two week period in april weeks given as;
1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches.
Calculation of the mode:
First, we Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Since there is an even number of data, find the mode in the middle;
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Therefore, the mode of the data is 2 which occurs more frequently during this two-week peroid.
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Adrian has a square bedroom. The area of the room is 169 ft². How would you find the length of one side of his room?
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The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? plz show me how u got the answer
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The two sides, AB and BC are equal
By Pythagoras, we find the length of AC = [tex] \sqrt{1^+1^} [/tex] = [tex] \sqrt{2} [/tex]
Using the sin ratio ⇒ sin θ = opposite/hypotenuse, we have
[tex]sin(45)= \frac{1}{ \sqrt{2} }= \frac{ \sqrt{2} }{2} [/tex]
Using the cos ratio ⇒ cos θ = adjective/hypotenuse, we have
[tex]cos(45)= \frac{1}{ \sqrt{2} }= \frac{ \sqrt{2} }{2} [/tex]
Using the tan ratio ⇒ tan θ = opposite/adjective, we have
[tex]tan(45)= \frac{1}{1}=1 [/tex]
The values of sine, cosine, and tangent for angle θ, where (1, -1) is on its terminal side, are sin(θ) = -1, cos(θ) = 1, and tan(θ) = -1, knowing that the point lies in the fourth quadrant.
To find the values of the sine, cosine, and tangent of an angle θ where the point (1, -1) is on its terminal side, we first recognize that this point lies in the fourth quadrant of the coordinate system. In this quadrant, cosine is positive, and sine and tangent are negative.
The point (1, -1) gives us the x and y coordinates on the Cartesian plane, which correspond to the lengths of the adjacent side and the opposite side of the right-angle triangle formed by the radius (hypotenuse) from the origin to the point, and the axes. Assuming we're dealing with a unit circle (which has a radius of 1), we can directly use the coordinates (1, -1) to find the cosine and sine:
cos(θ) = x = 1sin(θ) = y = -1tangent (θ) = y/x = -1/1 = -1Hence, for angle θ, cos(θ) is 1, sin(θ) is -1, and tan(θ) is -1.
(-7/10+0.15) ÷ (-0.125)
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0.8 times negative 8 is negative 6.4
Solve for x.
14+x>18
Enter your answer, as an inequality, in the box.
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i need help with c. maybe b if i got it wrong too.
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Maryam earns a salary of $35,000 a year. Her benefits are equal in value to 35 percent of her salary. What is the value of Mayam's benefits?
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As per linear equation, the value of Mayam's benefits is $12250.
What is a linear equation?A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.
Given, Maryam earns a salary of $35,000 a year.
Her benefits are equal in value to 35 percent of her salary.
Therefore, the value of Mayam's benefits is
[tex]=[/tex] $[tex]\frac{(35000)(35)}{100}[/tex]
[tex]=[/tex] $12250
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A sample of n = 9 scores has a variance of s2 = 144. what is the standard deviation for this sample?
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The relationship between variance and standard deviation is simply:
s = standard deviation
s^2 = variance
s = sqrt (s^2)
Therefore calculating for s:
s = sqrt (144)
s = 12
So we get the standard deviation is simply 12 scores.
A $100 bill, Two $20 bills,three $10 bills, and four $5 bills are placed in the bag. If a bill is chosen at random and you have to pay $15 to play the game. what is the expected value for the game?
Answers
Final answer:
The expected value for the game is $4, which means on average a player would expect to gain $4 before the entry fee. However, after subtracting the cost to play ($15), the net expected value is -$11, indicating a loss on average for each play.
Explanation:
To determine the expected value of the game mentioned, we first identify the possible outcomes and their corresponding probabilities. Next, we multiply each outcome value by its probability, and sum up these products. Finally, we deduct the cost of the game ($15) from the sum to find the expected net gain or loss.
Probability of picking a $5 bill = 4/10
The expected value (EV) calculation would be:
EV = (1/10 * $100) + (2/10 * $20) + (3/10 * $10) + (4/10 * $5) - $15
EV = ($10) + ($4) + ($3) + ($2) - $15
EV = $19 - $15
EV = $4
Therefore, the expected value for the game is $4. This means on average you would expect to gain $4 per game before considering the entry fee. Since you pay $15 to play, you need to subtract this from the $4 gain to obtain the net expected value, which would be -$11, indicating a loss in the long run.
How to know whether to use sin or cos in physics?
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HELP ASAP!!!
Is the line through points P(-3, -2) and Q(2, 3) perpendicular to the line through points R(10, -1) and S(15, -6)? Explain.
a. No, their slopes are not opposite reciprocals.
b. No; their slopes are not equal.
c. Yes; their slopes have product -1.
d. Yes; their slopes are equal.
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slope = (3 + 2)/(2 + 3) = 5/5 = 1
line through points R(10, -1) and S(15, -6)
slope = (-6 + 1)/(15 - 10) = -5/5 = -1
perpendicular lines, slope is opposite and reciprocals
slope of line PQ = 1 and slope of line RS = -1
So they are perpendicular
answer
c. Yes; their slopes have product -1.
△FEB≅△CNB.
What is length of BN¯¯¯¯¯¯ ?
Enter your answer in the box.
units
Answers
The Answer to this problem is BN=3.8 Units.
The statement △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB, meaning their corresponding sides and angles are equal. However, without additional information, such as the length of a congruent side in △FEB, we cannot determine the exact length of BN.
Explanation:The given statement, △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB. In congruent triangles, corresponding sides and angles are equal.
However, to determine the exact length of BN, more information is needed. Examples of useful additional information would include the length of a corresponding side in △FEB, or the lengths of other sides in △CNB in relation to the length of BN, if these are also congruent sides.
Given the information provided in the question, it's not possible to provide an exact numeric value for the length of BN at this time. Please confirm if there are any additional details in your question or your course materials that could further clarify this issue.
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Translate this phrase into an algebraic expression
61 decreased by twice Vanessa's score
Use the variable v to represent Vanessa's score.
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this is because v would represent Vanessa's actual score and and it would be two times more so that is why there is a 2 in front of that v
The sum of the number x and 13 is 62
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x + 13 (-13) = 62 (-13)
x = 62 - 13
x = 49
hope this helps
Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. Find the sum of 4x3 + 2x2 - 4x + 3 and 7x3 -4x2 + 7x + 8.
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11x^3 - 2x^2 + 3x + 11 <==
** its just a matter of combining like terms
Answer:
11x^3 - 2x^2 + 3x + 11
Step-by-step explanation:
we need to find the sum of 4x^3 + 2x^2 - 4x + 3 and 7x^3 -4x^2 + 7x + 8
To find the sum we add both the polynomials
4x^3 + 2x^2 - 4x + 3 + 7x^3 -4x^2 + 7x + 8
To add the polynomials we combine like terms
4x^3 + 7x^3 = 11x^3
2x^2 - 4x^2 = -2x^2
-4x+7x= 3x
3+8 = 11
So final expression is 11x^3 -2x^2 +3x+11
Find all points on the curve x^2-y^2=1 passes through
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Each of the 25 students in Mr. McDonald's class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald's students raise?
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400 x 15 = 6000$
Answer is 6000
It takes Lee's cat about 20 days to finish a five pound bag of cat food. Which is the best estimate of the number of pounds of cat food Lee's cat eats In one year
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Based on the daily consumption calculated from the given data, Lee's cat eats approximately 91.25 pounds of cat food in a year.
Explanation:The question is asking for the estimated number of pounds of food that Lee's cat eats in one year. Lee's cat consumes a five-pound bag of food in 20 days. So, let's first determine how much he eats in 1 day. If 5 pounds is consumed in 20 days, then in 1 day, the cat eats 5/20, or 0.25 pounds.
Since there are approximately 365 days in a year, we multiply this daily consumption by 365. So, 0.25 pounds/day * 365 days/year = 91.25 pounds/year.
So, the best estimate for the amount of cat food that Lee's cat eats in one year would be approximately 91.25 pounds.
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Write the expression in complete factored form. q^2(u-9)+c (u-9)
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= (u-9)(q²+c) ← complete factored form
A parcel of air, with less than 100% relative humidity, that is rising because of heat energy derived from the surface is ______ stable. unstable. conditionally unstable.
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A tree is standing next to a 40-foot high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow. how tall is the tree, rounded to the nearest foot?
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The height of the tree will be 45 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A tree is standing next to a 40-foot-high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow.
Let x be the height of a tree. Then we have
x / 18 = 40 / 16
x = 45 feet
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Yuto left his house at 10 a. m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother? Riko will be behind Yuto when 0 ≤ t < minutes.
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-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto
every minute ... closing the gap at the rate of 0.1 mile per minute.
-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.
-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .
From the time when she left the house, she gained 0.35 - 0.25 = 0.1 mile on Yuto for every minute at the rate of 0.1 mile per minute.
If Riko can keep it up, she'll catch up to Yuto in 52.5 mins.
5.25 / 0.1 = 52.5 minutes.
Riko is behind her brother when 0 [tex] \leq [/tex] t < 52.5 minutes.
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3
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when m = 5:
2k = 5+3
2k = 8
k = 8/2
k=4
when m = 7
2k = 7+3
2k =10
k = 10/2
k = 5
when m = 9
2k = 9+3
2k = 12
k = 12/2
k = 6
k = {4,5,6}
A 20 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach? Round to the nearest tenth.
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a^2 + b^2 = c^2
8^2 + y^2 = 20^2
64 + y^2 = 400
y^2 = 336
y = √336 = 4√21 ≈ 18.33
What is the solution of the system of equations?
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We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns.
Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.
i) consider equations 1 and 3:
-3x-4y-3z=-7
5x-2y+5z=9
multiply the second equation by -2:
-3x-4y-3z=-7
-10x+4y-10z=-18
adding the 2 equations we have -13x-13z=-25
ii) consider equations 2 and 3. Multiply the third equation by -3:
2x-6y+2z=3
-15x+6y-15z=-27
adding the 2 equations we have -13x-13z=-24
So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.
Answer: the system has no solutions
Is this table represents function or not?
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Answer: Yes
Step-by-step explanation: This table does represent a function. A function is where each input has exactly one output. Since none of the x-values repeat, this would represent a function.
Please explain this math question to me!
6(4) ÷ 2 − 1 + 5
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How to solve 45 45 90 triangle given hypotenuse?
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So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
I need help solving this problem
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Payton created a presentation for his parents showing how his grades have improved over the past six months. what is an alternative data display that would better convey the information?
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I believe that aside from the bar graph, the line graph would actually best suits to convey this information. Because just like the bar graph, we can actually see the peaks of the grades. And through the peaks, we can easily compare the grades one by one.
Answer:
line graph