What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the last choice on accident
Answers
Move the x^2 to the other side
x^2=50
Now take the square root of both sides
x=+_(50)^1/2 (^1/2 means square root)(+_ is plus or minus. Sorry XD)
Now simplify the square root
X=+_5(2)^1/2
Voila. The answer is C
Answer:
Option C
Step-by-step explanation:
we need to find the solution(s) to the quadratic equation 50 – x^2 = 0
50 – x^2 = 0
Subtract 50 from both sides
– x^2 = -50
Now divide by -1 from both sides
x^2 = 50
To remove square , take square root on both sides
[tex]x=+-\sqrt{50}[/tex]
[tex]x=+-\sqrt{25*2}[/tex]
[tex]x=+-5\sqrt{2}[/tex]
Option C is the answer
Related Questions
The volume of a cylinder is 224π cubic centimeters and its radius is 4 centimeters. What is the height of the cylinder? Enter your answer in the box.
Answers
.. V = π*r^2*h
.. 224π = π*4^2*h
.. 224π/(16π) = h = 14
The height of the cylinder is 14 cm.
_____
You have not provided a box for me to enter my answer. (Please omit such directions.)
The height of the cylinder is 14 centimetres.
To find the height of the cylinder, we use the formula for the volume of a cylinder, which is given by [tex]\( V = \pi r^2 h \),[/tex] where V is the volume, r is the radius, and h is the height.
Given that the volume V is [tex]224\pi[/tex] cubic centimetres and the radius r is 4 centimetres, we can substitute these values into the formula to solve for the height h:
[tex]\[ 224\pi = \pi (4)^2 h \][/tex]
Simplifying the equation by dividing both sides [tex]\( \pi \) and \( (4)^2 \),[/tex]we get:
[tex]\[ \frac{224\pi}{\pi \cdot 16} = h \][/tex]
[tex]\[ \frac{224}{16} = h \][/tex]
[tex]\[ 14 = h \][/tex]
Therefore, the height h of the cylinder is 14 centimetres.
how dpyou find the area of a trapizoid
Answers
A = (1/2)×(b₁ +b₂)×h
where b₁ and b₂ are the lengths of the parallel bases, and h is the height (the perpendicular distance between the bases)
_____
This is one of several area formulas it pays to memorize.
Answer:
add the parallel sides and divide by 2
then multiply it by the perpendicular side so
Step-by-step explanation:
A=side one+side two x2
2
Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyrone works 40 hours per week and has no other sources of income, what is his total monthly cash inflow? (Hint: Assume that there are 4 pay periods per month.)
a. $273.60
b. $1,080.00
c. $1,800.00
d. $2,073.60
Would It Be D?
Answers
Read more on Brainly - https://brainly.com/sf/question/2415896
Answer:
Yes the Answer is
"D" $2,073.60
Step-by-step explanation:
Correct on edg. 2021
A culture started with 6000 bacteria after 3 hours ot grew to 7200 bacteria Predict how many bacteria will be present after 19 hours
Answers
Answer:
19038
Step-by-step explanation:
Given : A culture started with 6000 bacteria after 3 hours to grew to 7200 bacteria
To Find: Predict how many bacteria will be present after 19 hours
Solution:
General Form of exponential function: [tex]y=ab^x[/tex]
where y is the amount after x hours
x is the time
a is the initial amount
b is the growth factor
Bacteria initial amount= a = 6000
Time = x = 3 hours
Amount of bacteria after 3 hours = 7200
Substitute the values in the general form
[tex]7200=6000(b)^3[/tex]
[tex]\frac{7200}{6000}=(b)^3[/tex]
[tex]\sqrt[3]{\frac{7200}{6000}}=b[/tex]
[tex]1.06265856918=b[/tex]
Now we are supposed to find how many bacteria will be present after 19 hours
So, Bacteria initial amount= a = 6000
Time = x = 19 hours
Amount of bacteria after 19 hours = y
Substitute the values in the formula:
[tex]y=6000(1.06265856918)^{19}[/tex]
[tex]y=19038.488[/tex]
Hence there will be approximately 19038 bacteria present after 19 hours
Mia bought 10 1/9 lb of flour. She used 2 3/4 lb of flour to bake a banana cake and some to bake a chocolate cake. After baking two cakes, she had 3 5/6 lb of flour left. How much flour did she use to bake the chocolate cake?
Answers
This is easiest done by converting the mixed numbers into improper fractions, finding a common denominator and subtracting (subtract the numerators and keep the denominator) as follows:
[tex]10 \frac{1}{9}-3 \frac{5}{6}= \frac{91}{9}- \frac{23}{6} =\frac{182}{18}- \frac{69}{18}= \frac{113}{18} [/tex]
That's how much flour she spent on both cakes. If we subtract from this what she spent on the banana cake 2 3/4 we will be left with what she used for the chocolate cake.
This is found as follows: [tex] \frac{113}{18} -2 \frac{3}{4} = \frac{113}{18} - \frac{11}{4} = \frac{226}{36} - \frac{99}{36} = \frac{127}{36}=3 \frac{19}{36} [/tex]
She used [tex]3 \frac{19}{36} [/tex] pounds of flour on the chocolate cake.
Mia used [tex]3\frac{19}{36}[/tex] lb of flour to bake the chocolate cake.
Further Explanation
Given:
Total flour [tex]10\frac{1}{9}[/tex] lbs
She used:
[tex]2\frac{3}{4}[/tex] for banana cake
x lbs for chocolate cake
Flour left [tex]3\frac{5}{6}[/tex] lbs
How much flour did she use to bake the chocolate cake?
so the flour that Mia use for banana cake is total flour subtract the flour that she used plus the left over.
x =Total flour - flour for banana cake - left over
[tex]\boxed {= 10\frac{1}{9} - 2\frac{3}{4} - 3\frac{5}{6} } \\[/tex]
I am going to put this into improper fraction
[tex]\boxed { = \frac{91}{9} - \frac{11}{4} - \frac{23}{6} }[/tex]
because the denominator is different, we are going to find the common denominator for 9, 4 and 6 which is 36
[tex]\boxed {= \frac{364-99-138}{36} }\\ \boxed {= \frac{127}{36} }\\\boxed {= 3\frac{19}{36} }[/tex]
So the flour that she use to bake the chocolate cake is [tex]3\frac{19}{36}[/tex] lbs
Learn MorePart to whole relationship https://brainly.com/question/11677654
Math word problem brainly.com/question/997374
Mixed fraction brainly.com/question/745462
Keyword: mixed fraction, subtraction, improper fraction, part to whole relationship
Which system of linear inequalities is represented by the graph?
x – 3y > 6 and y > 2x + 4
x + 3y > 6 and y > 2x – 4
x – 3y > 6 and y > 2x – 4
x + 3y > 6 and y > 2x + 4
Answers
y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
y ≥ 2x + 4
The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
y > -1/3x + 2
or
x +3y > 6
The graph seems to represent the inequalities
x +3y > 6 and y ≥ 2x +4
Answer:
So the answer is D
Step-by-step explanation:
suppose a new car that cost 20 000 depreciates by 15% each year. in how many year till the car costs 7500. use the equation 7500=(20,000)(0.85)^x
Answers
3 = 8 * (0.85)^x => 0.85^x = 3/8
next, we can take the log() on both sides, and use the fact that log(a^b)=b*log(a)
log(3/8) = log(0.85^x) => log(3/8) / log(0.85) = x
If you calculate this, you find x ≈ 6.03
#8 surface area please explain
Answers
Solving for the surface area:
Surface area of 2 triangles (top and bottom) + Surface area of 3 rectangles (sides)
2 [1/2 (2.6)(3.9)] + [ (4.3)(3.9) + (4.3)(2.6) + (4.3)(5.2) ] = 60.45 cm^2 surface area
Suppose u = f(x, y) with x = r cos θ and y = r sin θ. find ∂u ∂r .
Answers
Michael has a total of 15 bills that are either $1 bills or $5 bills. If the total amount of money he has is $47, how many $5 bills does he have?
Answers
Miguel is making an obstacle course for field day. At the end of every sixth of the course, there is a tire. At the end of every third of the course, there is a cone. At the end of every half of the course, there is a hurdle. At which locations of the course will people need to go through more than one obstacle?
Answers
People will need to go through more than one obstacle at locations 1, 2, and 3 on the course.
let's break it down:
Tires: Appear every sixth of the course.
Cones: Appear every third of the course.
Hurdles: Appear every half of the course.
To find where people need to go through more than one obstacle, we need to find the common multiples of these fractions.
Tires (1/6 of the course):
Locations of tires: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 (which is the end)
Locations: 1, 2, 3, 4, 5, 6
Cones (1/3 of the course):
Locations of cones: 1/3, 2/3, 3/3 (which is the end)
Locations: 1, 2, 3
Hurdles (1/2 of the course):
Locations of hurdles: 1/2, 2/2 (which is the end)
Locations: 1, 2
Now, let's find where there are overlaps:
Location 1: There's a tire, a cone, and a hurdle.
Location 2: There's a tire and a cone.
Location 3: There's a tire and a cone.
Location 4: There's a tire.
Location 5: There's a tire.
Location 6: There's a tire.
So, people need to go through more than one obstacle at locations 1, 2, and 3.
how many different combinations of 1 odd number and 1 shape are possible
Answers
Luke purchased a motorcycle for $8,765. It depreciates about 5.3% each year. What is the value of the motorcycle after five years?
Answers
A picture shows that 3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box.
Answers
Final answer:
To find the mass of each box in this scenario, calculate the total mass of the cans first, then divide by the number of boxes. Each box weighs 10 grams.
Explanation:
A picture shows that 3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box.
To find the mass of each box, we first calculate the total mass of the 3 cans: 3 cans * 30 grams/can = 90 grams. Since the 3 cans have the same mass as 9 identical boxes, each box's mass is: 90 grams / 9 boxes = 10 grams per box.
HELP PLEASE! −3.64⋅|−5.3|−1.53
^
Absolute value of -5.3
Answers
To solve −3.64⋅|−5.3|−1.53, calculate the absolute value of −5.3, which is 5.3, then multiply by −3.64 to get −19.292, and finally, subtract 1.53 to result in −20.822.
Explanation:You have presented a mathematical expression involving absolute value and multiplication: −3.64⋅|−5.3|−1.53. Let's solve this step by step:
First, determine the absolute value of −5.3, which is 5.3 because absolute value represents the distance of a number from zero without considering direction.Next, multiply −3.64 by the absolute value you just calculated: −3.64 * 5.3.Once you have the result of that multiplication, subtract 1.53 from it to get the final answer.
Now performing the operations:
−3.64 * 5.3 = −19.292−19.292 - 1.53 = −20.822Therefore, the result of the given expression −3.64⋅|−5.3|−1.53 is −20.822.
Solutions for the system 10x^2 -y=48
2y=16x^2+48
Answers
Solutions are (x, y) = (-6, 312) and (6, 312).
_____
Divide the second equation by 2, then substitute the expression for y into the first equation. Solve the quadratic for x.
.. 10x^2 -(8x^2 +24) = 48
.. 2x^2 -72 = 0
.. 2(x -6)(x +6) = 0
.. x = -6 or 6
.. y = 8x^2 +24 = 8*36 +24 = 312 . . . for either value of x
Answer:
Solutions are (x, y) = (-6, 312) and (6, 312).
Step-by-step explanation:
Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Answers
the average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes with a standard deviation of 3.6 minutes assume the variable is normally distributed what is the probability that a patron Will Wait less than 18 minutes or more than 25 minutes
Answers
To determine the probability of a patron waiting less than 18 minutes or more than 25 minutes at a restaurant, we calculate the Z-scores for each time, look up the corresponding probabilities in a standard normal distribution table, and add the probabilities together.
To find the probability that a patron will wait less than 18 minutes or more than 25 minutes at a restaurant with an average waiting time of 23.5 minutes and a standard deviation of 3.6 minutes, assuming a normal distribution, we need to calculate two separate probabilities and then add them together.
First, we calculate the Z-score for 18 minutes, which is (18 - 23.5) / 3.6. Then, we find the corresponding probability from the standard normal distribution table. This gives us the probability of waiting less than 18 minutes.
Secondly, we calculate the Z-score for 25 minutes, which is (25 - 23.5) / 3.6. The corresponding probability gives us the probability of waiting more than 25 minutes. However, we want the probability of waiting longer, so we subtract this probability from 1 to find the probability of waiting more than 25 minutes.
Adding both probabilities gives us the total probability of a patron waiting either less than 18 minutes or more than 25 minutes.
a fish is 12 meters above the surface of the ocean. what is its elevation
Answers
the level of the surface of the ocean is level zero
therefore
the elevation of the fish is = 0+12=+12 meters (the positive sign tells me that it is above the surface of the ocean)
the answer is 12 meters
What is the least whole number that has exactly 9 factors, including 1 and itself?
Answers
All squares of primes have exactly three factors.
So start with perfect squares (skipping perfect squares of primes)
4^2=16 {1,2,4,8,16} 5 factors.
6^2=36 {1,2,3,4,6,9,12,18,36} 9 factors.
Answer: 36 is the least whole number that has exactly 9 factors.
a book normally costs $21.50. today it was on sale for 15.05. what percentage discount was offered during the sale?
Answers
Discounted Price / Original Price = 1 - Discount %
15.05 / 21.5 = 1 - Discount %
Subtract 15.05 / 21.5 from both sides and add Discount % to both sides to get the following equation.
Discount % = 1 - 15.05 / 21.5 = 1 - 0.7 = 0.3 = 30% discounted
Final answer:
To calculate the percentage discount of a book, subtract the sale price from the original price, divide by the original price, and multiply by 100. The detailed calculation shows that the book had a 30% discount during the sale.
Explanation:
The question asks how to calculate the percentage discount of a book that has been reduced from its normal price to a sale price. To find the percentage discount, we subtract the sale price from the original price, and then divide this difference by the original price. Finally, we multiply by 100 to get the percentage.
Step-by-Step Solution:
Calculate the difference in price: $21.50 (original price) - $15.05 (sale price) = $6.45 (amount discounted).Divide the discount by the original price: $6.45 / $21.50.Convert the result to a percentage: ($6.45 / $21.50) × 100 = 30%.The percentage discount offered on the book during the sale was 30%.
What is the measure of
Answers
<ABC = 120 / 2
<ABC = 60
answer
A. 60
m∠ABC = (75+45)/2 = 60°
How do I convert 12 ounces into grams. Please help
Answers
To find out how many grams equals 12 ounces, multiply 28.35 by 12.
Final answer should be 340.2 grams = 12 oz.
Hopefully this helps!
:)
What is the slope of a line that is perpendicular to the line shown? (0, 2) (3, 0)
Answers
slope = (2-0)/(0-3) = -2/3
perpendicular lines, slope is opposite and reciprocal
so the slope of a line that is perpendicular to the line is 3/2
answer
3/2
Mr Richards science class is conducting a variety of expirements with projectiles and falling objects DROP DOWN ANSWERS ARE GROUPS A-D
Answers
a = g
vf = g * t + vo
rf = (1/2) * g * t ^ 2 + vo * t + ro
g: gravity
t: time
vf: final speed
Vo: initial speed
For this case what we should do is to choose the equation that best suits each statement.
We have then:
GroupA: h (t) = - 4.9 * t ^ 2 + 19 * t
Group B: h (t) = - 16 * t ^ 2 + 50 * t
Group C: h (t) = - 4.9 * t ^ 2 +19
Group D: h (t) = - 16 * t ^ 2 +50
math hw..................
Answers
Cheryl paid 37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
Answers
Answer:
A quart of ice cream costs $0.775
Step-by-step explanation:
This problem can be solved by a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of gallons of ice cream
- The cost
As the number of gallons increases, so will the cost that Cheryl paid. So, the relationship between the measures is direct and we have the following rule of three.
12 gallons - $37.20
1 gallon - $x
12x = 37.20
[tex]x = \frac{37.20}{12}[/tex]
x = $3.1
Each gallon cost $3.1. Each gallon also has 4 quarts, so the cost of 4 quarts is $3.1. To find the cost of a quart of ice cream
4 quarts - $3.1
1 quart - $x
4x = 3.1
[tex]x = \frac{3.1}{4}[/tex]
x = $0.775
A quart of ice cream costs $0.775
find the length of arc ac, cb=60degrees, ab=12ft(diameter)
Answers
Radius= diameter ÷2 =12÷2=6
And put in ur values to obtain the answer
Final answer: arc ac = 120
Suppose that △ XYZ is isosceles with base YZ . Suppose also that = m ∠ X + 2 x 52 ° and = m ∠ Y + 4 x 34 ° . Find the degree measure of each angle in the triangle.
Answers
At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a person who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see.
Answers
The person who is 36 feet above the water ⇒ √36=6
A person 49 feet above the water ⇒ √49=7
So, by proportions, you have:
(7/6)x7.4= 8.63 miles
Therefore, the answer is: a person 49 feet above the water can see 8.63 miles