3x(x-2) = 0
in standard form and its roots
Answers
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
3x(x−2)=0
Step 1: Simplify both sides of the equation.
3×2−6x=0
For this equation: a=3, b=-6, c=0
3×2+(−6x)+0=0
Step 2: Use quadratic formula with a=3, b=-6, c=0.
\(x=\frac{-b ±\sqrt{b^2-4ac} }{2a}\)
x=2 or x=0
hope it helps other wise I am sorry
Related Questions
A recreational swimming lake is treated periodically to control harmful bacteria growth. Suppose t days after a treatment, the concentration of bacteria per cubic centimeter is given by C(t) = 30t^2 - 240t + 500, 0 ≤ t ≤ 8 a. How many days after a treatment will the concentration be minimal? b. What is the minimum concentration?
Answers
Minimum concentration is 260 bacteria per cubic centimeter.
How to calculate minimum concentration?a. To find when the concentration is minimal, we need to find the minimum point of the quadratic function C(t) = 30t² - 240t + 500. To do this, we can take the derivative of C(t) and set it equal to zero:
C'(t) = 60t - 240
0 = 60t - 240
t = 4
Therefore, the concentration will be minimal 4 days after a treatment.
b. To find the minimum concentration, we substitute t = 4 into the equation for C(t):
C(4) = 30(4)^2 - 240(4) + 500
C(4) = 260
Therefore, the minimum concentration is 260 bacteria per cubic centimeter.
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Highest common factor of 72 and 96
Answers
Answer:
24
Step-by-step explanation:
Prime Factorise 72:
\(72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2\)
Prime factorise 96:
\(96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3\)
Multiply the common factors of \(2^3*3^2\) and \(2^5*3\):
\(2^3*3=24\)
A circular patio has a diameter of 16 feet . how many square feet of tile will it take to cover the patio
Answers
Answer:
201.1 square feet
Step-by-step explanation:
The radius (r) of the patio is 16/2 = 8
Area of a circle is π\(r^{2}\) so \(8^{2}\)π = 201.0619298 or 64π
Answer:
It will take 113.10 ft² of tiles to cover the patio.
Step-by-step explanation:
area of a circle formula: A = πr²
The diameter is twice the length of the radius. To find the radius, divide the diameter by 2:
16/2 = 8
To find the area of the circular patio, apply the radius to the formula A = πr²:
A = π6²
A = 113.10 ft²
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?
$0.55
$1.30
$2.65
$5.30
Answers
Answer:
$5.30
Step-by-step explanation:
To find the answer, you would need to divide $26.50 / .20 which would equal $5.30
Hope this helps and pls do mark me brainliest if you can:)
She should pay if she doesn’t want to leave pennies on the table $5.30,
the correct option is D
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \tim\)
Given;
The bill for the food is $26.50
She has to pay 20% tip
Now,
20% of $26.50 be x;
x*100/26.50=20
x=20*26.50/100
x=5.3
Therefore, the answer by 20 percent will be $5.30
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which of these numbers is between 2 and -3 on the number line
Answers
.
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of o feet.
She descends for 89 seconds at a speed of 2.2 feet per second.
• She then ascends for 96 seconds at a speed of o.8 feet per second.
At this point, what is her elevation, in feet?
+
Answer:
ft
Submit Answer
Answers
I realized I was wring again. give me a minute
In the diagram, the figures are similar. Use proportions to find x.
Answers
Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
3
Select the correct answer.
3567745
, if x+ 0 and y+ 0?
Which expression is equivalent to
OA 2x2y Try?
OB. 8ry87 24 y²
OC. 8x273/7xy2
OD. 2x422977
Answers
Answer:
Option A
Step-by-step explanation:
Given expression is \(\sqrt[3]{56x^7y^5}\).
\(\sqrt[3]{56x^7y^5}=(56x^7y^5)^{\frac{1}{3}}\)
\(=[(2)^3(7)(x^2)^3(x)(y)^3(y)^2]^{\frac{1}{3}}\)
\(=[(2)^{\frac{3}{3} }(7)^{\frac{1}{3} }(x^2)^{\frac{3}{3} }(x)^{\frac{1}{3}}(y)^{\frac{3}{3} }(y)^{\frac{2}{3} }]\)
\(=3x^2y[(7)^{\frac{1}{3}}(x)^{\frac{1}{3}}(y^2)^{\frac{1}{3}}]\)
\(=3x^2y\sqrt[3]{7xy^2}\)
Option A is the correct option.
How many mile did they travel in all ?
Answers
Answer:
25 miles
Step-by-step explanation:
At 1 p.m. the maximum travel distance is reached. This is 25 miles.
A car is driving at 60 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answers
The car will travel a distance of 33.34 meter in 2 sec.
What is velocity?The definition of velocity is a vector estimate of the rate & direction of motion.
Some features abut the velocity are-
Simply put, velocity is the rate that something moves in a single direction. The velocity of a car moving north on the a major motorway and the velocity of a rocket ascending into space may both be measured.The velocity vector's scalar (absolute value) magnitude is, as you might expect, the speed of motion. Velocity is the very first derivative of position with reference to time in calculus. A simple formula that involves rate, distance, and time can be used to calculate velocity.Now according to the question-
A car is driving at 60 kilometers per hour.
That means car is travelling 60 km in 1 hour.
Velocity of the car = 60km/hr
convert the velocity in m/s
1 km = 1000 m
1 hour = 3600 second.
velocity = (60×1000m)/3600s
velocity = 100/6 m/s
Now, the distance covered by the car in 2 seconds
Distance = velocity×time
Distance = (100/6)×2
Distance = 100/3
Distance = 33.24 (approx)
Therefore, distance covered by the car in 2 second is 33.34 meters.
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Solve for h:
2h-4x=-6y
Please provide steps also
Answers
That’s ur answer because you have to add 2x to the other side where 6y and then you divide the 2 from both sides and then 4 divided by 2=2 and then 6 divided by 2=3
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
5. Which equation is solved for the height of the cone based on theinformation given below?The equation V = 1 r represents the volume of a cone, where is the radius of the cone andh is the height of the coneh=V - Tr?h= } #r?VB3V - #r2 = h3Vha?D
Answers
We need to make h the subject of formula:
\(\begin{gathered} All\text{ the variables on the right are multiplied together.} \\ \text{First we get rid of the 1/3 by multiplying both sides by 3:} \\ 3(V)\text{ =3( }\frac{1}{3}\pi r^{2}h) \\ 3V\text{ = }\pi r^{2}h \end{gathered}\)\(\begin{gathered} \text{For h to stand alone on the right side, we divide both sides by }\pi r^2h \\ We\text{ apply division beause all the variables were ultiplied together} \\ So\text{ to undo it, we divide} \\ \frac{3V}{\pi r^{2}}=\text{ }\frac{\pi r^{2}h}{\pi r^{2}} \\ \frac{3V}{\pi r^2}=\text{ }h \end{gathered}\)\(h\text{ = }\frac{3V}{\pi r^{2}}\text{ (option D)}\)What is the value of the one in 45.12
Answers
Answer:
Step-by-step explanation:
1 is in the tenth place
\(\sf 1's \ value = \dfrac{1}{10}\)
Find the center of mass of a thin plate of constant density d covering the given region.
1. The region bounded by the parabola y=x2 and the line y=4.
2. The region bounded by the parabola y=25−x2 and the x-axis.
Answers
The center of mass of the region bounded by the parabola y = x^2 and the line y = 4 is located at the point (0, 8/3).
1. The center of mass of a thin plate with constant density covering the region bounded by the parabola y = x^2 and the line y = 4 can be found using calculus.
The center of mass of the given region is located at the point (0, 8/3).
To find the center of mass, we need to calculate the x-coordinate, denoted as x_cm, and the y-coordinate, denoted as y_cm, separately. The x-coordinate is given by the formula:
x_cm = (1/A) ∫[a,b] x * f(x) dx,
where A is the area of the region and f(x) is the equation of the boundary curve.
In this case, the boundary curves are y = x^2 and y = 4. To find the x-coordinate, we need to calculate the area A and evaluate the integral:
A = ∫[a,b] (f(x) - g(x)) dx,
where f(x) = 4 and g(x) = x^2. Setting f(x) - g(x) = 0, we find the limits of integration: x = -2 and x = 2.
A = ∫[-2,2] (4 - x^2) dx = 16/3.
Now, we can calculate the x-coordinate:
x_cm = (1/A) ∫[-2,2] x * (4 - x^2) dx.
Evaluating the integral, we get:
x_cm = (1/(16/3)) ∫[-2,2] (4x - x^3) dx = 0.
This means that the center of mass lies on the y-axis, at x = 0.
To calculate the y-coordinate, we use the formula:
y_cm = (1/A) ∫[a,b] (1/2) * (f(x)^2 - g(x)^2) dx.
Using the same limits of integration, we have:
y_cm = (1/(16/3)) ∫[-2,2] (1/2) * ((4 - x^2)^2 - x^4) dx.
Evaluating the integral, we get:
y_cm = (1/(16/3)) ∫[-2,2] (1/2) * (16 - 8x^2 + x^4 - x^4) dx = 8/3.
Therefore, the center of mass of the given region is located at the point (0, 8/3).
The center of mass of the region bounded by the parabola y = x^2 and the line y = 4 is located at the point (0, 8/3). This means that the point of balance for the thin plate with constant density lies on the y-axis, at x = 0.
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a major disadvantage of correlations is that they cannot make a(n) blank statement. multiple choice question.
Answers
A major disadvantage of correlations is that they cannot make a cause-and-effect statement.
What are correlations?Correlations are statistical measures that describe the size and direction of a relationship between variables.
Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.
The disadvantages of correlations include:
There are no causes and effects.Results can find no inference.The strength of the relationship is not explained.There is the possibility of a confounding factor.Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.
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Question 1 (10 points)
(03.01 MC)
A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game.
Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay.
Henri finds 70% of the original price and then calculates 110% of the sale price.
Will Pat's strategy calculate the correct total? Explain the calculations.
Will Henri's strategy calculate the correct total? Explain the calculations.
Do they each have enough to purchase the game?
Explain your answers using complete sentences and show your work. (50 points)
Answers
Answer:
hiiii we meet again.......
Select all ratios equivalent to 4:16
5:8 3:12. 15:32
Answers
Answer:
3:12 is equivalent 4:16
Step-by-step explanation:
5:8 = 0.625
3:12 = 0.25
15:32 = 0.48...
and 4:16 is 0.25, equal to 3:12
:]
(Brainliest would help a lot) Tell me if this is incorrect!
The three principles that result in high reliability include having a _____ sample, less-variable observations, and many cases.
Answers
High reliability is a term used in scientific research that describes measures that are consistent, valid, and trustworthy. Reliable measures are crucial in any discipline where research is conducted, including psychology. It is important to have reliable measures because researchers want their results to be consistent and replicable.
There are three principles that result in high reliability: large sample sizes, less-variable observations, and numerous cases. A large sample size is necessary to ensure research results are consistent and more representative of the population. In addition, less-variable observations are needed to avoid extraneous variables that could influence observations and lead to inconsistencies over time. Researchers can create controlled settings to eliminate extraneous variables, and by doing so, develop more reliable measures.
Finally, researchers must test the same theory or hypothesis on many cases. By doing so, researchers can observe whether their hypothesis is valid across a large number of cases. This is important because observing many cases allows researchers to generalize their findings to the population. These three principles combined contribute to the development of more reliable measures, resulting in high reliability.
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In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE DO NOT COPY OTHER PEOPLE AND RIGHT THISBased on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:
Moon doesn't produce its light but rather takes or reflects the light from the Sun.
Moon only reflects about 12 percent maximum of lights that shines on it from the sun.
Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.
Also, Sun is about 400 times bigger than the Moon.
Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth. MAKE IT SIMPLE
Answers
Answer:
Since the moon has no atmosphere, all wavelengths of sunlight reach the ground by traveling straight through space. Our sun appears white because it produces all visible wavelengths approximately equally. The sun will appear the same size whether viewed from Earth or the Moon since Earth and the moon are relatively close to the sun. The sun and moon both have an apparent size of one-half of a degree when viewed from Earth.
Step-by-step explanation:
What is the area of the rectangle?
Answers
Answer:
1/3
Step-by-step explanation:
2/5 times 1/3 equals 1/3
josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes
Answers
Answer:
25500
Step-by-step explanation:
15% of 30000 is (multiply 30000 by .15 to get this) 4500
Subtract 4500 from 30000 and you got the answer
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Answers
Answer:
she paid 68 so it is d i think
find the circumference of the circle with radius r cm
Answers
Answer:
red
Step-by-step explanation:
1 and 21 1 1 1 1 1111111111
= 2 π r
Answer: The formula to find the circumference C of a circle of radius r is C = 2 π r.
The population of bats in a large cave is 4800 and is growing exponentially at 16%
per year. Write a function to represent the population of bats after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.
Answers
Answer:
f(t)=4800(1.0378)^4t
3.78%
Step-by-step explanation:
f(t)=
f(t)=a(1+r)^t
f(t)=4800(1+0.16)^t
f(t)=4800(1.16)^t
The diameter of a circle is 7 m. Find the circumference to the nearest tenth
Answers
Answer:
22 m
Step-by-step explanation:
Diameter d = 7 m
Circumference of the circle C =?
\(C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m\)
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100. 0 and σ=15. 0. A random sample of 45 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 96? Round your answer to 4 decimal places, if necessary
Answers
We are given that IQ scores are normally distributed with mean μ = 100 and standard deviation σ = 15. We want to find the probability of a random person on the street having an IQ score of less than 96.
To do this, we need to standardize the IQ score using the z-score formula:
z = (x - μ) / σ
where x is the IQ score we're interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
Plugging in the given values, we get:
z = (96 - 100) / 15 = -0.267
Now, we look up the probability of getting a z-score less than -0.267 in a standard normal distribution table or using a calculator. The probability is approximately 0.3944.
Therefore, the probability of a random person on the street having an IQ score of less than 96 is 0.3944 (rounded to 4 decimal places).
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Kelly separated 618 cookies into baggies. Each baggie contained 3 cookies. How many baggies of cookies did Kelly make?
Answers
Answer:
206
Step-by-step explanation:
618/3=206
Part B
2-³ times how much is 2¹? Does the answer match your answer from question 3b? Why or why not?
Answers
Answer:
no because if you do 2×2 you whood get 4 and 1×3 is 3 so your answer will be 7
Marcus is training for a bike race and has biked 25 miles this week. He needs to bike at least 80 miles this week to complete his training. How many miles should Marcus bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution
Answers
40 points please give the right answer
Answers
Step-by-step explanation:
dk if this makes sense
