3x−2(x+1) simplification
Answers
Answer:
x -2
Step-by-step explanation:
Related Questions
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answers
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
\( 3.938 < \mu < 4.062 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is \(\= x = 4\)
The standard deviation is \(\sigma = 1.5\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{1.5 }{\sqrt{1501} }\)
=> \(E = 0.06196 \)
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
\(\= x -E < \mu < \=x +E\)
\(4 -0.06196 < \mu < 4 + 0.06196\)
=> \( 3.938 < \mu < 4.062 \)
Hence the true average times per week that college students across the nation eat out lies within this interval
Which expression is equivalent to (3x^4 - 6x^2 + 8x) - (x^4 + 8x^3 - 3x)?
view image!
Answers
Answer:
\(2x^{4} -6x^{2} +11x-8x^{3}\)
Step-by-step explanation:
1) Remove parentheses.
\(3x^{4} -6x^{2} +8x-x^{4} -8x^{3} +3x\\\)
2) Collect like terms.
\((3x^{4} -x^{4} )-6x^{2} +(8x+3x)-8x^{3}\)
3) Simplify.
\(2x^{4} -6x^{2} +11x-8x^{3}\)
Answer:
2x^4-8x^3-6x^2+11x
Step-by-step explanation:
im cool, ik.
Sophie bought a water fountain for her cat. The fountain holds 55 fluid ounces of water. To fill it, Sophie uses a jar that holds 1 pint. How many times must she fill the jar to fill the fountain completely? Enter your answer as a whole number.
Answers
Answer:
3.4375
Step-by-step explanation:
One pint = 16 fluid ounces
55 ÷ 16 = 3.4375
(So basically a bit more than 3)
The points (1,7) and (7,5) fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
Answer:
\(y-7=-\dfrac{1}{3}(x-1)\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}\)
To find the equation of a line that passes through two given points, first find its slope by substituting the given points into the slope formula.
Define the points:
(x₁, y₁) = (1, 7)(x₂, y₂) = (7, 5)Substitute the points into the slope formula:
\(\implies m=\dfrac{5-7}{7-1}=\dfrac{-2}{6}=-\dfrac{1}{3}\)
Therefore, the slope of the line is -¹/₃.
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
To find the equation in point-slope form, simply substitute the found slope and one of the given points into the point-slope formula:
\(\implies y-7=-\dfrac{1}{3}(x-1)\)
QUESTION 4 of 10: Market researchers often report discretionary income. Discretionary income is your disposable income minus your fixed
expenses. Your disposable income is $2,920. After you pay fixed expenses of rent, utilities, groceries, and a car payment, you have $900.
What percentage of your disposable income is discretionary?
a) 18%
b) 31%
c) 45%
d) 69%
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Answer:31
Step-by-step explanation:
Answer:
b) 31 %
Step-by-step explanation:
1 Simplify the ratio of 464: 128
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Answer:
29 : 8
.........................
If tan m=1/2 and tan n=-6 what is the exact value of tan (m+n)
Answers
Answer:
\(\frac{-11}{8}\)
Step-by-step explanation:
1) To find tan m = 1/2 on a calculator, you need to take the inverse to find m.
\(tan^{-1}\)(1/2) is about 26°.
So, m = 26°
2) To find tan n = -6 on a calculator, you also need to take the inverse.
\(tan^{-1}\)(-6) is -80, which is positive 280°. (360° - 80° = 280°)
n = 280°
3) SO, the exact value of tan(m + n) would be tan(26° + 280°), which is tan(306°).
tan(306°) is about -1.376.
The closest answer to -1.376 is the third answer choice, which is -11/8.
please. Will give brainliest
Answers
Answer:
The answer is c
scince I am not student so I don't use book n pen sorry
can you help me find this solution if you can explain it to me please also
Answers
100-48-14-2= 36%. Because the whole thing is 100% and I removed all the other animals to find the percentage of cats chosen.
Then we want to know the number of classmates:
Cat= 36% of 50 people = 0.36 x 50=18
Fish= 14% of 50 people = 0.14 x 50= 7
Now we see the difference between them :
18-7=11 people
The answer is D which is 11.
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
Answers
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.
C. The total value of Japanese imports is greater than the total value of the country's exports.
D. A French restaurant buys food from nearby farms to support the local economy.
Answers
Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.
Absolute advantage is the potential of an individual, a company, or a country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.
A factory in German has an absolute advantage because it can produce more sports car than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.
Therefore, the correct answer is option A.
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Suppose that 650lb of coffee are sold when the price is $4 per pound
Answers
Money earned = $162.50
Explanation:
650 / 4 – You make $4 for every pound sold
= 162.5
Which is $162.50
|3y - 7| - 10 = -5 solve for y:
Answers
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
What is 5/6 divided 3/4 expressed in simplest form
Answers
Answer:
the simplest form is 10/9
Answer:
\( \frac{5}{6} \div \frac{3}{4} \\ \\ \frac{5}{6} \times \frac{4}{3} \\ \\ \frac{5}{3} \times \frac{2}{3} \\ \\ = \frac{10}{9} \)
I hope I helped you^_^
Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0
Answers
Answer:
0, 7, ± iStep-by-step explanation:
Solving for x
- 2x^5 + 14x^4 - 2x^3 + 14x^2=0x^5 - 7x^4 + x^3 - 7x^2 = 0x^2 ( x^3 - 7x^2 + x - 7) = 0x^2( x^2(x - 7) + (x - 7)) = 0x^2(x^2 + 1)(x - 7) = 0x^2 = 0 ⇒ x = 0x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± ix - 7 = 0 ⇒ x = 7The solutions to the original equation -2x³ + 14x²- 2x³ + 14x² = 0 are x = 0, -0.391, 0.099, 7.293
To solve the equation algebraically, factor out an "x^2" term from each term:
x²(-2x³ + 14x²- 2x + 14) = 0
Now, we have two factors:
x² = 0
-2x³ + 14x² - 2x + 14 = 0
First, let's solve the first factor, which is a simple quadratic equation:
x² = 0
x = 0
Now, let's solve the second factor by factoring out a common factor of 2:
2(-x³ + 7x² - x + 7) = 0
Now,use the rational root theorem or synthetic division to find the roots of the cubic equation -x³ + 7x² - x + 7 = 0. However, in this case, the equation does not have any rational roots. Therefore, we need to use numerical methods or graphing techniques to find the approximate solutions.
Using numerical methods or graphing, we find that the approximate solutions for the equation -x³ + 7x² - x + 7 = 0 are:
x ≈ -0.391
x ≈ 0.099
x ≈ 7.293
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Kali wants to buy a long sandwich for a party store a sales a foot 5 foot sandwich for $42.50 store be sells a 6 foot sandwich for $49 and 50 Cent which store has the better buy show your work
Answers
Answer:
The second store with the 6 foot is better pricing.
Step-by-step explanation:
find out how much each foot cost on each sandwich
42.5/5=8.5
49.5/6=8.25
The first store sells each foot of sandwich for 25 cents cheaper.
What is 3,879 rounded to nearest 100
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Step-by-step explanation: Look at 3,879. The eight is in the hundreds place so the seven would tell it to round up or down. 5 or more means round up, so 8 would turn into 9. The other 2 numbers turn into zeros. Thus, 3,879 turns into 3,900.
Find the values of the 6 trigonometric functions of angle A.
Answers
The values of the trigonometric functions are
1. sin A = 12/13
2. cos A = 5/13
3. Tan A = 12/5
4. cot A = 5/12
5. cosec A = 13/12
6. sec A = 13/5
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. Examples of these functions are; sin, cos , tan cot, cosec , sec e.t.c
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
here the opposite side to angle A is 12 and the adjascent is 5 while the hypotenuse is 13.
Therefore,
1. sin A = 12/13
2. cos A = 5/13
3. Tan A = 12/5
4. cot A =1/tan A = 5/12
5. cosec A = 1/sin = 13/12
6. sec A = 1/cos = 13/5
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Lia swam in a 0.61 in the pool for 2 weeks everyday how many meters did she swim
Answers
Answer:
8.54 meters
Step-by-step explanation:
0.61x14=8.54
A line passes through the point -8, -5 and has a slope of -3/2 Write an equation in slope-intercept form for this line.
Answers
Answer:
\(y = - \frac{3}{2} x - 17\)
Step-by-step explanation:
\( - 5 = - \frac{3}{2} ( - 8) + b\)
\( - 5 = 12 + b\)
\(b = - 17\)
\(y = - \frac{3}{2} x - 17\)
Find the 11 term of the following geometric sequence.
10, 40, 160, 640, ...
Answers
Answer:
099 787 989
Step-by-step explanation:
Four less than the product of a number (x)
and 5 is equal to 8 more than 2 added to
3 times the number. Which of these equa-
tions could be used to find the value of x?
Answers
Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.
Step-by-step explanation:
Four less than the product of a number (x) and 5 = 5x - 4
8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10
Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10
5x - 3x = 10 + 4
2x = 14
x = 14/2
therefore, x = 7
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An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction
Answers
The basic ratio of minutes of painting to minutes of instruction is 7 : 6
What is the basic ratio of minutes of painting to minutes of instructionFrom the question, we have the following parameters that can be used in our computation:
Painting = 63 minutes
Instruction = 54 minutes
The ratio can be represented as
Ratio = Painting : Instruction
When the given values are substituted in the above equation, we have the following equation
Painting : Instruction = 63 : 54
Simplify
Painting : Instruction = 21 : 18
Simplify
Painting : Instruction = 7 : 6
This ratio cannot be simplified
Hence, the solution is 7 : 6
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rewrite without an exponent
Answers
Answer:
\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)
Step-by-step explanation:
Answer: -81, the product would just be 3∧4 but negative
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answers
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway how many tons of gravel will be spread in each square yard
Answers
Answer:
Is there any answer choices so I have some opions
Step-by-step explanation:
Guys plz solve this equation and help me
Answers
Answer:5a^2 + 6ab + 2b^2
Step-by-step explanation:
Answer:
i don't know if this helps
help with number 4 part a and b?
Answers
Part A
The vertex of a parabola is the lowest or highest point. The vertex in this graph is (2,-1).
Part B
You need to find the rate of change between the points when x=2 and x=3. When x=2, y=-1, and when x=3, y=0.5. You can find the average rate of change between these points by putting the difference of y over the difference of x. 0.5--1=1.5 and 3-2=1. The average rate of change is 1.5/1, or just 1.5.
Which expression shows the distance on the number line between −12 and 8?
