Answer: F, D, B
Step-by-step explanation:
Answer:
C,E,A
Step-by-step explanation:
What factors of 12n2- 10n+2
Answer:
2(2n-1)(3n-1)
Step-by-step explanation:
Answer:
((22•3n2) - 10n) + 2
STEP 1 :
Equation at the end of step 1
((22•3n2) - 10n) + 2
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
12n2 - 10n + 2 = 2 • (6n2 - 5n + 1)
Trying to factor by splitting the middle term
3.2 Factoring 6n2 - 5n + 1
The first term is, 6n2 its coefficient is 6 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 6 • 1 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + -1 = -7
-3 + -2 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2
6n2 - 3n - 2n - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3n • (2n-1)
Add up the last 2 terms, pulling out common factors :
1 • (2n-1)
Step-5 : Add up the four terms of step 4 :
(3n-1) • (2n-1)
Which is the desired factorization
Final result :
2 • (2n - 1) • (3n - 1)
Step-by-step explanation:
solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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Out of 210 racers who started the marathon, 190 completed the race, 18 gave up, and 2 were
disqualified. What percentage did not complete the marathon?
%
Give your answer accurate to at least 1 decimal place.
Answer:
9.5%
Step-by-step explanation:
(20/210) * 100
9.5%
The slope-intercept form of a line is y=mx+b.
What do m and b represent?
Answer:
M = the mean/slope b = y intercept hope this helps :)
Step-by-step explanation:
2) A 25 foot ladder leans against a house. The base of the ladder is 7 feet
away from the house. What is h, the height of the house? #2 pleasee
Rationalize the denominator of sqrt32/(sqrt16-sqrt2). The answer can be written as )AsqrtB+C)/D, where A, B, C, and D are integers, D is positive, and B is not divisible by the square of any prime. Find the minimum possible value of A+B+C+D.
Answer:
Step-by-step explanation:
\(\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)\)
It says it can be written in the form of
\(\frac{A\sqrt{B} + C }{D}\)
where A, B, C and D are integers, D is positive and B is not divisible by square of any prime
Rationalize equation 1:
\(\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}\)
in denominator, use (a + b)(a - b) = \(a^{2} - b^{2}\)
After multiplying numerator and denominator you should get
\(\frac{16\sqrt{2} + 8}{14}\)
this is in the form
\(\frac{A\sqrt{B} + C }{D}\)
where A = 16, B = 2, C = 8, and D = 14
hope this helps you ^^
If the Mona Lisa is 2 1/2 feet by 1 3/4 feet and they want to put it on a 11 x 9 notebook what is the scale factor
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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What is the value of the rational expression below when xis equal to 4?
Answer:
answer = 2
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
Step-by-step explanation:
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
PLEASE HELP ME
Answer:
4
Step-by-step explanation:
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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When solving the equation below using the quadratic formula, what would be the value inside or under the radical? (Hint: simplify first!)
2x 2 − 10 = 7x
The values under and inside the radical is 4 and 129 respectively
What is a quadratic equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.
A quadratic equation is given as ax²+ bx+ c=0
this can be solved using formula x=( -b±√b²-4ac)/2a.
in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0
a= 2, b= -7 and c= -10
x= -(-7)±√(-7)²-4×2×-10)/2×2
x= 7±√49+80)/4
x= 7/4 ± √129/4
therefore the values inside and under the radical is 129 and 4
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help me asap. my exam is tomorrow.
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
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Melissa will take the 11:50 AM train to San Diego. The train is estimated to arrive in San Diego in 4 hours 26 minutes. What is the estimated arrival
time?
A video game system and several games are sold for 504$ . The cost of the game is 3 times as much as the cost of the system . Find the cost of the system and the cost of the games
We get the cost of the system and cost of the games as $126 and $378 respectively.
Given, the price of the video game and several games are sold for $504.
The cost of the game is 3 times as much as the cost of the system.
we need to determine the cost of the system and the cost of the game = ?
Let x = the cost of the games.
Let y = the cost of the system.
therefore, x+y=504
and y = 3x
substitute the value of y.
⇒ x + y = 504
⇒ x + 3x = 504
combine like terms.
⇒ 4x = 504
Divide both sides by 4.
⇒ x = 504/4
⇒ x = 126
The cost of the system is $126.
Use y = 3x substituting 126 for x.
g = 3(126)
g = 378
The cost of the games is $378.
Hence we get the cost of the system and cost of the games as $126 and $378 respectively.
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A function h(x) has an average rate of change equal to 7 on the interval 5 ≤x≤9. If h(5)=12, then which
of the following must be the value of h(9)?
(1) 28
(2) 36
(3) 40
(4)52
The required value of h(9) must be 40 which is the correct answer would be option (3).
The function h(x) has an average rate of change of 7 on the interval 5 ≤ x ≤ 9. This means that, on average, the output of the function increases by 7 for every unit increase in the input.
We are given that h(5)=12, which means that the function has an output value of 12 when the input is 5.
To find the value of h(9), we can use the average rate of change to calculate the expected increase in the function's output over the interval 5 ≤ x ≤ 9.
Since the average rate of change is 7, we expect the function's output to increase by 7 × (9-5) = 28 over this interval.
So, the expected value of h(9) is:
⇒ 12 + 28 = 40.
Therefore, the required value of h(9) must be 40.
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Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected and the diameter is measured. The resulting data (in millimeters) are as follows: No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24 Use the data above to calculate a 95% two-sided confidence interval on the mean rod diameter. Assume the data are normally distributed. (a) Calculate the sample mean and standard deviation. Round the sample mean and the sample standard deviation to 2 and 3 decimal places respectively (e.g. 98.76 and 98.765). (b) Calculate the 95% two-sided confidence interval on the true mean rod diameter. Round your answers to 3 decimal places (e.g. 98.765).
Answer:
(8.213 ; 8.247)
Step-by-step explanation:
Given the data :
No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24
Sanple size, n = 15
Sample mean, xbar = Σx / n = 123.45 / 15 = 8.23
The sample standard deviation, s = √(x -xbar)²/n-1
Using calculator :
Sample standard deviation, s = 0.03116
s = 0.031 (3 decimal places)
The 95% confidence interval :
C.I = xbar ± (Tcritical * s/√n)
Tcritical at 95%, df = 15 - 1 = 14
Tcritical = 2.145
C.I = 8.23 ± (2.145 * 0.031/√15)
C.I = 8.23 ± 0.0171689
C.I = (8.213 ; 8.247)
What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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Find the surface area
Check the picture below.
so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)
so now let's get the areas of those triangles and those rectangles.
\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
Hi hello it’s me again this is kinda weird but this do I give someone brainliest I will literally give the person who says it first brainliest so yep and like I don’t know 15 points and uh yep it’s not an emergency so don’t worry about me go help others first
Answer:
Give the other guy brainliest he earns it
Step-by-step explanation:
DUE SOON! PLEASE HELP! QUESTION DOWN BELOW!
Answer:
a)not quadratic
b)quadratic
c)quadratic
d)not quadratic
a) x=-3
b) maximum is (-3,4)
c)\((-3-\sqrt{2},0)\) and\((-3+\sqrt{2},0)\)
d)(0,-14)
e) Domain: (-∞,∞), {xIx∈ℝ}
Range: (-∞,4), {yIy≤4}
Step-by-step explanation:
Hope this helps!
6th grade math help me. :D.....
Answer:
(1) 4x + 28 (2) 18x- 27
Step-by-step explanation:
the first question 4(x + 7) can be simplified by multiplying the number outside the parenthesis (4) by both of the values inside:
4x + 28 or the last answer choice
in the second question you can use the same method:
9 (2x) = 18x
9 ( -3) = -27
therefore the correct answer choice is 18x - 27
hope this helps :)
15/4= simplify it please
Answer:
\(The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .\)
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction \(3 \frac{3}{4} \)
The fraction \( \frac{15}{4} \)
is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
The fraction 15/4 is equivalent to 3 3/4.
Here, we have,
To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.
The GCD of 15 and 4 is 1 since there are no common factors other than 1.
Dividing both the numerator and denominator by 1, we get:
(15 ÷ 1) / (4 ÷ 1) = 15/4
This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).
So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.
The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.
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What is the midpoint of AB?
Answer:
the answer is weenie I THINK i coudl be wrong tho
Step-by-step explanation:
:)
Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3
Answer:
x=0, y=3/2. (0, 3/2).
Step-by-step explanation:
7x-8y=-12
-4x+2y=3
----------------
7x-8y=-12
4(-4x+2y)=4(3)
-----------------------
7x-8y=-12
-16x+8y=12
----------------
-9x=0
x=0/-9
x=0
7(0)-8y=-12
0-8y=-12
8y=0-(-12)
8y=0+12
8y=12
y=12/8
simplify
y=3/2
if cosø = -5/13 and sin ø<0 what is tan ø
Answer:
12:5
Step-by-step explanation:
Help will give thanks to the first to answer
Answer:
x-4
Step-by-step explanation:
because a number could be x and all you have to do is subtract 4 from a number making it x-4
Answer:
4-x
Step-by-step explanation:
Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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A biologist must make a medium to grow a type of bacteria. The percentage of salt in the medium is given by S=0.01x^2y^2z , where S is the percentage expressed as a decimal. And where x, y, and z are the amounts in liters of 3 different nutrients mixed together to create the medium. The ideal salt percentage for this type of bacteria is 29.6%. The costs of the x, y, and z nutrient solutions are respectively 9 , 6, and 9 dollars per liter. Determine the minimum cost that can be achieved.