Answer:
Cos (5π/3)
Cos (π/6)I think this one
Answer:
Below in bold.
Step-by-step explanation:
The sine is positive in the first and second quadrants and negative in other 2.
The cosine is positive in the first and 4th quadrants and negative in other 2.
Note that sin(pi/6) = 1/2 and cos(pi/3 = 1/2).
sin(7pi/6) = 1/2
cos(5pi/3) = 1/2
sin(5pi/6) = 1/2
A football tournament with 12 teams is organised.
Each team will play each other exactly once.
b) Work out the total number of games played
Answer:
66 gamesStep-by-step explanation:
Team 1 will play the rest 11 teams = 11 gamesTeam 2 = 10 gamesTeam 3 = 9 games...Team 11 = 1 gameTotal games:
11 + 10 + 9 + .. + 1 = (1 + 11)*11/2 = 66Find the missing slant height
Answer:
\(\ell=\frac{77}{4}\)
Step-by-step explanation:
Because these two cones are similar, we can set up the following proportion:
\(\frac{11}{4}=\frac{\ell}{7}\)
Solving, we get:
\(\ell=\frac{7\cdot11}{4},\\\ell=\fbox{$\frac{77}{4}$}\).
A triangle with angles 89.9°, 50.1°, and 40.0° what type of triangle is it
Answer:
Triangle=89.9 + 50.1 + 40(flat)= 140+40=180 and 180 is a straight angle ABC
\ /
89.9+50.1=140
A doll-making company has been able to streamline their production process by having three jobs: assembling the doll, putting clothing on the doll, and putting the doll in the box. The table below illustrates the mean times (in seconds) and standard deviation for each task. Mean Standard Deviation
Assembly 36 2.5
Clothing 22 1.8
Boxing 8 0.75
The distribution of times for each step are approximately normal and independent. What are the mean and standard deviation of the total time (in seconds) to complete all three tasks? A. µx = 60.6 σx= 3.17 B. µx= 60.6 σx== 5.05
C. µx = 66 σx = 0.88 D. µx= 66 σx= 3.17
E. µx = 66 σx = 5.05
The mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.
To find this:
The total time to complete all three tasks is the sum of the time taken for each task. The mean time to complete all three tasks (µx) can be calculated by adding the mean time for each task: µx = 36 + 22 + 8 = 66. The standard deviation (σx) of the total time can be calculated using the standard deviation of each task and the square root of the number of tasks (n).
Using the formula: \(\sigma x = \frac{\sqrt{\sigma1^2 + \sigma2^2 + \sigma3^2}}{\sqrt n}\),
where σ1, σ2, σ3 are the standard deviations of each task, n = 3.
Plugging in the values, we get
\(\sigma x = \sqrt(2.5^2 + 1.8^2 + 0.75^2)/\sqrt3 \\= \sqrt{6.25 + 3.24 + 0.5625}/\sqrt3 \\= \sqrt{10.0525}/\sqrt3 = 3.17\)
Hence, the mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.
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which term describes the percent of voters casting ballots?
The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.
The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.
The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.
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List the outcomes in F or G. Select the correct choice belowand, if necessary, fill in the answer box to complete your choice.
A. F or G = { _____ }
(Use a comma to separate answers as needed.)
B. F or G = { }
Find P(F or G) by counting the number of outcomes in F or G.
P(F or G) =________
(Type an integer or a decimal rounded to three decimal places as needed.)
Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.
(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)
A. P(F or G)=_______+_______−________=_______
B. P(F or G)=_______+_______=________
A. Probability Experiment F or G = {5, 6, 7, 8, 9, 10, 11, 12}
B. Probability Experiment F or G = {5, 6, 7, 8, 9, 10, 11, 12}
C. Probability Experiment P(F or G) = 8/12 = 0.667
The outcomes in F or G are the elements that are present in either F or G or both. Therefore, the list of outcomes in F or G is as follows:
F or G = {5, 6, 7, 8, 9, 10, 11, 12}
P(F or G), we count the number of outcomes in F or G and divide it by the total number of outcomes in the sample space.
Number of outcomes in F or G = 8
Total number of outcomes in the sample space = 12
P(F or G) = Number of outcomes in F or G / Total number of outcomes in the sample space
P(F or G) = 8/12 = 0.667 (rounded to three decimal places)
Using the general addition rule, we can express P(F or G) as the sum of the individual probabilities of events F and G minus the probability of their intersection.
P(F or G) = P(F) + P(G) - P(F and G)
P(F) = Number of outcomes in F / Total number of outcomes in the sample space = 5/12
P(G) = Number of outcomes in G / Total number of outcomes in the sample space = 4/12
P(F and G) = Number of outcomes in both F and G / Total number of outcomes in the sample space = 1/12
Substituting these values into the general addition rule:
P(F or G) = P(F) + P(G) - P(F and G) = 5/12 + 4/12 - 1/12 = 8/12 = 0.667 (rounded to three decimal places)
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The question is incomplete the complete question is :
A Probability Experiment Is Conducted In Which The Sample Space Of The Experiment Is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, Event F={5, 6, 7, 8, 9}, And Event G={9, 10, 11, 12}. Assume That Each Outcome Is Equally Likely. List The Outcomes In F Or G. Find P(F Or G) By Counting The Number Of Outcomes In F Or G. Determine P(F Or G) Using The General
A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.
List the outcomes in F or G. Select the correct choice belowand, if necessary, fill in the answer box to complete your choice.
A. F or G = { _____ }
(Use a comma to separate answers as needed.)
B. F or G = { }
Find P(F or G) by counting the number of outcomes in F or G.
P(F or G) =________
(Type an integer or a decimal rounded to three decimal places as needed.)
Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.
(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)
A. P(F or G)=_______+_______−________=_______
B. P(F or G)=_______+_______=________
There are 24 people using a gun. the ratio of men to women is 2 : 1. how many men are using the gym
The number of men using the gun is 8, using the given ratio of men to women as 2:1.
In the question, we are given that the ratio of men to women using a gun is 2:1, and a total of 24 people use a gun.
We are asked to find the number of men using the gun.
By the given ratio, we take the number of men using a gun to be 2x, whereas the number of women using a gun is x.
Thus, the total number of people using the gun = the number of men using a gun + the number of women using the gun,
or, the total number of people using the gun = 2x + x = 3x.
But, the total number of people using the gun is given to be 24.
Thus, we get an equation 3x = 24.
On solving this, we get:
3x = 24,
or, 3x/3 = 24/3,
or, x = 8.
Now, the number of men using a gun = 2x = 2*8 = 16.
The number of women using a gun = x = 8.
Thus, the number of men using the gun is 8, using the given ratio of men to women as 2:1.
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David worked 73⁄4 hours each day, Monday through Friday. If he was paid $11.90 per hour, what is his
straight pay?
Answer:
$ 92.23Step-by-step explanation:
To solve this question we use ratio and proportion
From the question
1 hour = $11.90
Then 7.75 hours =
\( \frac{7.75 \times 11.9}{1} = 92.225\)
We have the final answer as
$ 92.23Hope this helps you
Finding Angle Measures When Parallel Lines Are Cut By a Transversal
The measures of the following angles are:
∠6 = 124°, ∠2 =124°, ∠3 = 124° ∠5 = 56°, ∠7 = 124° ∠1 = 56°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
∠4 = 56° ( corresponding angles are equal)
∠1 =∠4 ( vertically opposite angles are equal)
∠1 = 56°
∠7 + 56° = 180 ( angles on a straight line sum up to 180°)
∠7 = 180 - 56
∠7 = 124°
∠7 = ∠6 ( vertically opposite angle are equal)
∠6 = 124°
∠3 = ∠6 ( alternate angles are equal)
∠3 = 124°
∠2 = ∠3 ( vertically opposite angle)
∠2 = 124°
∠5 = 56° ( vertically opposite angles)
The unknown angles are: ∠1 = 56° ∠2 = 124°, ∠3 = 124°, ∠4 = 56°, ∠5 = 56°, ∠6 = 124° ∠7 = 124°
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Can Someone Please Solve This By Using The Formula a^2+b^2=c^2
Considering the figure drawn using the formula given a = 40 cm
How to find the value of ainformation given in the question
hypotenuse = 85 cm
opposite = 75 cm
adjacent = a
The problem is solved using the Pythagoras theorem is applicable to right triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let a be the required dimension
85² = 75² + a²
7225 = 5625 + a²
7225 - 5625 = a²
a² = 1600
a = √1600
x = 40
The adjacent of the right triangle is solved to be 40 cm
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I really need help for this geometry question, I would appreciate any help thank you.
find the slope of the line passing through the origin which forms an angle 7pi/8 with a positive x axis
The slope of the passing line through the origin is 112.5°.
The slope of a line is given as a tangent ratio.
In this case we have the angle, so the slope would be given as
tan(7π/8).
Therefore,
The angle the line makes with the horizontal is given in radians here:
7π/8
In this degrees, we can use:
180° = π radians
1 radian = 180°/π
5π/8 radians = 5π/8 × 180° /π
=5π/8 × 180°/π
=112.5°
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Write in standard form using integers. (ASAP help)
Is it a, b, c or d?
Answer: D
Step-by-step explanation:
To get rid of denominator in x, multiply everything by 3
3y=2x+21
Move the variables to the left
-2x+3y=21
What are the three main types of spectra? Describe how each is formed, and draw a sketch (either hand-drawn or computer drawn, but it must be drawn by you!) showing how all three types of spectra can be observed from an object. This should be one drawing that shows how all three types are produced, not one drawing per type of spectra. (Hint: all that changes is the position of the observer...) Also: the Spectrum of the Sun is an absorption spectrum. Explain why.
The three main types of spectra are continuous, absorption, and emission spectra. The formation of each of these types is as follows:
1) Continuous Spectrum:
A continuous spectrum is produced when a solid, liquid, or dense gas is heated. The emission of light from this heated object covers a broad range of colors, producing a continuous spectrum. When this spectrum is observed through a prism, it shows a continuous rainbow of colors.
2) Absorption Spectrum:
An absorption spectrum is produced when a source of white light is passed through a cool, low-density gas, and the gas absorbs the light at specific wavelengths, producing dark lines at those points. An absorption spectrum is unique to the chemical elements in the gas.
3) Emission Spectrum:
An emission spectrum is produced when a high-voltage electric current is passed through a gas, causing the gas to emit light at specific wavelengths. An emission spectrum is unique to the chemical elements in the gas.Here's a drawing that shows how all three types of spectra can be observed from an object:
\(\frac{}{}\)
The spectrum of the sun is an absorption spectrum because the sun's atmosphere contains a thin, cool layer of gas that absorbs certain wavelengths of light from the sun's interior, producing dark lines in the spectrum. These dark lines, also known as Fraunhofer lines, are produced when the light from the sun passes through the gas layer, and some of it is absorbed by the gas at specific wavelengths, leaving dark lines in the spectrum.
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Betore Great puecession in 2008⋅9, unemployment rate in U.S, was 4 . At the end of 2009 , unemployment rate in U.S. was 9.9 percent and labor force participation rate was 63 percent. In mid 2010 , unemployment rate was still at 9.9 percent. however; Lbor force participatian rate went up to 65.2 percent. In mid 2010, imany economic analysts were suying that US cconomy is recovering as anticipation for labor marliet recovery is high., Why mary economists are assessing that the economy is recovering when unemployment rate says-at the same rate at 99 percent? Explaif succincely.
The US economy was recovering in mid-2010 despite the unemployment rate remaining at 9.9 percent. This assessment was based on the increase in the labor force participation rate from 63 percent to 65.2 percent.
The labor force participation rate is the percentage of the working-age population that is either employed or actively seeking employment. An increase in this rate indicates that more people are entering or re-entering the labor market, which is seen as a positive sign for the economy.
Even though the unemployment rate remained the same, the higher labor force participation rate suggests that individuals were becoming more optimistic about their job prospects and actively looking for work. This increase in labor force participation indicates an improvement in labor market conditions and reflects growing confidence in the economy's ability to provide employment opportunities.
Therefore, economists considered the rise in labor force participation as a positive indicator of economic recovery, despite the unemployment rate remaining unchanged.
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–v^2 + 4v − 1 = 0
Solve using the quadratic formula
what do I do?
Answer:
The quadratic formula is ax^2+bx+c=0.
The exact answer to this is v = 2 ± √ 3
Step-by-step explanation:
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 2613
feet and Plane B is just taking off. Plane A is gaining altitude at 20.25 feet per second and Plane B is gaining altitude at 70.5.
How many seconds will pass before the planes are at the same altitude?
What will their altitude be when they're at the same altitude?
What will their altitude be when they're at the same altitude?
The number of seconds that will pass before the planes are at the same altitude is 52 seconds.
The altitude when they're at the same altitude is 3666 feet.
What is an altitude?An altitude simply means a vertical measure from a particular reference point such as the sea level on Earth.
Let the number of seconds be represented by s
Plane A is at an altitude of 2613 feet and is gaining altitude at 20.25 feet per second. This will be represented as 2613 + 20.25s
Plane B is just taking off and is gaining altitude at 70.5. This will be 70.5s
Equate both equations
2613 + 20.25s = 70.5s
Collect like terms
70.5s - 20.25s = 2613
50.25s = 2613
Divide
s = 2613 / 50.25
s = 52
Number of seconds = 52 seconds
The altitude at this point will be:
= 70.5s
= 70.5 × 52
= 3666 feet
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35.928 using fractions and decimals
Step-by-step explanation:
35 . 928 is already in decimals
Thirty five and nine hundred and twenty-eight thousandths can be written as :
35 928/1000 which reduces to 35 116/125
1 divided by 4/9 lowest term
The number obtained 9/4 is the reciprocal of the number 4/9.
What is defined as the reciprocal of a number?The multiplicative inverse of the a number is defined as the reciprocal. In other words, a number's reciprocal is described as 1 divided by such a number. The product of a specific number and its reciprocal always equals one.The reciprocal of the a fraction can be calculated by swapping the numerator as well as denominator values.For the given number.
Divide 1 by 4/9
This can be written as;
= 1/(4/9)
= 9/4
Then, the number obtained 9/4 is the reciprocal of the number 4/9.
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The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. What is the present ages of father and son?.
The present ages of the father and son are 36 and 9, respectively.
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.
Let's denote the present ages of the father as "F" and the present age of the son as "S".
From the information given, we have two equations:
Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)
To solve this system of equations, we can use substitution or elimination method.
Let's solve it using the substitution method:
From Equation 1, we can express F in terms of S: F = 45 - S
Now, substitute F in Equation 2 with 45 - S:
(45 - S - 5)(S - 5) = 4(45 - S - 5)
Simplify the equation:
(40 - S)(S - 5) = 4(40 - S)
Expand and simplify:
40S - 5S - 200 + 25 = 160 - 4S
Combine like terms:
35S - 175 = 160 - 4S
Add 4S to both sides:
35S + 4S - 175 = 160
Combine like terms:
39S - 175 = 160
Add 175 to both sides:
39S = 335
Divide both sides by 39:
S = 335/39
Simplify:
S ≈ 8.59
Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:
S ≈ 9
Now, substitute S = 9 into Equation 1 to find the father's age:
F + 9 = 45
Subtract 9 from both sides:
F = 45 - 9
F = 36
Therefore, the present ages of the father and son are 36 and 9, respectively.
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Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150% . The horizontal measurement of the second garden is
Answer:
Step-by-step explanation:
A recent study by Rand’s National Defense Research Institute, examined 48,000 military jobs, such as Army attack-helicopter pilot and Navy gunner’s mate. It was found that 8,640 of the jobs were filled by women. What percent of these jobs are filled by women rounded to the nearest percent if necessary?
We have the next information
48000 represent the 100%
8640 represent the ?
\(\text{?}=\frac{8640\cdot100\text{\%}}{48000}=18\)ANSWER
8640 represent the 18%
–6x + 2y =-12
6x + 5y = 117
a. (7, 15) b. (15,9)
c.(-7,-15) d.(-15,-9)
.
I need help
Answer:
B (15,9)
Step-by-step explanation:
There you go
Answer:
a
Step-by-step explanation:
- 6x + 2y = - 12 → (1)
6x + 5y = 117 → (2)
Add the 2 equations term by term to eliminate the x- term
0 + 7y = 105
7y = 105 ( divide both sides by 7 )
y = 15
Substitute y = 15 into either of the 2 equations and solve for x
Substituting into (2)
6x + 5(15) = 117
6x + 75 = 117 ( subtract 75 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
solution is (7, 15 ) → a
PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLY
What are the integer solutions to the inequality below?
Answer:
3 ≤11 ≤ 11
Step-by-step explanation:
3x-4 = 2x +1
3x-5 = 2x
x-5 = 0
x= 5
3 ≤11 ≤ 11
Mccarthyism took off during a time in u.s. history where cold war anxieties were at a high. this mass fear of communism allowed certain liberties and rights to be suppressed in the name of national security.
what rights and liberties were ignored or suppressed during the mccarthy hearings? do you think the names communist conspirators gathered during the hearings were accurate? why or why not?
Rights suppressed during McCarthy hearings: freedom of speech, right to privacy, right to due process, association freedom. Accuracy of names gathered during hearings: questionable due to lack of substantial evidence and reliance on hearsay and political motivations.
What rights and liberties were ignored or suppressed during the McCarthy hearings, and were the names of communist conspirators gathered during the hearings accurate?
During the McCarthy hearings, several rights and liberties were ignored or suppressed, including:
Freedom of speech: Many individuals were intimidated and silenced for expressing their political beliefs or for being associated with leftist organizations.Right to privacy: Investigations and interrogations invaded the private lives of individuals, often without substantial evidence. Right to due process: Many individuals were subjected to unfounded accusations, blacklisting, and loss of employment without proper legal proceedings. Freedom of association: People were targeted based on their affiliations with groups or organizations deemed to have communist ties.Learn more about association freedom
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The pythagorean Theorem please help me with this asap!! this is due!!
The missing length in the right triangle is 12 m by pythagorean theorem
The pythagorean theorem can only be applied to right triangles
The longest side of a right triangle is called hypotenuse the other two sides are legs
You can use this theorem to find a missing length or to prove a triangle is right triangle
The missing length in the right triangle with hypotenuse is 13 m and adjacent side is 5m
13²=5²+x²
169=25+x²
144=x²
x=12 m
Hence, the missing length in the right triangle is 12 m
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x=13, x=1
Step-by-step explanation:
(x – 7)^2 = 36
Take the square root of each side
sqrt((x – 7)^2) = sqrt(36)
x-7 = ±6
Separate into two equations
x-7 = 6 x-7=-6
Add 7 to each side
x-7+7=6+7 x-7+7 = -6+7
x=13 x=1
i have a new hobby - a saltwater fish tank that will contain mostly live corals (called a reef tank). i am currently in the planning stage and am gathering knowledge to give me the best chance of success with my tank. as part of the planning stage, i reached out to 700 experienced central florida reefers (people who currently have a reef tank) and asked them to provide the following information: size of the tank (in gallons), type of lighting used (florescent, led, hybrid, or other), and how long (in years) they have been in the hobby. part of the analysis involves trying to estimate the proportion of all central florida reefers who use led lighting. a 95% confidence interval was constructed to be: (.648, .752) which of the following practical interpretations is correct? group of answer choices in repeated sampling, 95% of the intervals created will contain the population mean. we are 95% confident that the proportion of all central florida reefers who use led lighting falls between .648 and .752. we are 95% confident that the proportion of the sampled central florida reefers who use led lighting falls between .648 and .752. all central florida reefers use led lighting 95% of the time.
We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752.
The correct practical interpretation is: "We are 95% confident that the proportion of all central Florida reefers who use led lighting falls between .648 and .752."
This means that if we were to take multiple random samples of 700 experienced central Florida reefers, 95% of the intervals created would contain the true population proportion of reefers who use LED lighting.
So, based on this sample, we can say with 95% confidence that the true proportion of all central Florida reefers who use LED lighting is somewhere between .648 and .752.
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We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752 from mean.
The correct practical interpretation is: "We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752." This means that based on the sample of 700 experienced reefers, we can estimate with 95% confidence that the true proportion of all reefers in central Florida who use LED lighting is likely to be between .648 and .752.
This confidence interval was constructed using sampling techniques, and in repeated sampling, 95% of the intervals created would contain the population mean.
We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752.
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Factor the trinomial by grouping.
6x^2 - 7x-20
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
You have 6x^2 - 7x-20, you add and take 8x so now you have
6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize
6x^2 +8x = 2x( 3x +4 )
and you have -7x -8x-20 = -15x -20 factorize
-5(3x +4 ) add all up.
2x(3x +4) -5(3x +4) and you have
(3x+4)(2x-5)
what is 2878÷88087656
Answer: 0.000032672
Step-by-step explanation: use long division or a calculator to solve.