Answer:
0.444444
How's that?
Drag the numbers to order them from greatest to least, with the greatest at the top. 5.03709 4.923935 17 12
The order from greatest to least is:
10π
✓101
0.99853
9.92749
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
Solution:
Given that we have to order the numbers from greatest to least
Given are:
9.92749
✓101
0.99853
10π
Let us convert them all to decimal numbers.So that comparison would be easy
✓101 = 10.049
We know that,
10π = 10 * 3.14
Therefore,
10π = 31.4
Now compare the numbers
The numbers are:
9.92749 , 10.049875, 0.99853, 31.4
Arrange them from greatest to least
31.4
10.049875
9.92749
0.99853
Thus the order is:
10π
✓101
0.99853
9.92749
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complete question:
Help!!! Drag the numbers to order them from greatest to least, with the greatest at the top.
9.92749
✓101
0.99853
10π
Simplyfiy the fraction 220/4 please.
Answer:
55
Step-by-step explanation:
You just need to divide 220 ÷ 4 = 55
Hope this helps :)
Pls brainliest...
The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is
.
Answer:
x = 11
Step-by-step explanation:
2(x - 5) = 12 ← divide both sides by 2
x - 5 = 6 ( add 5 to both sides )
x = 11
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)
\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)
Match to the correct one
Answer:
1. b_ 2. a_ 3. c_ 4. d
Step-by-step explanation:
1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.
In class, we developed the formula
(a) Use the formula (using appropriate substitutions) to find the closed form for ∑2
= 2
(b) Use the formula in the notes for ∑
= 13 to find the closed form expression form for
∑
= 3 (assume a ≥ 1 and a ≤ b)
(c) In class, we developed the formula
Use this formula and some algebra to derive a closed form for the sum ∑
= 0( ― 1)2 ― 1
(d) Test your closed form solution in (c) to find the value of ∑3
= 0( ― 1)2 ― 1 and see if
it matches the manual computation of the 4 terms of the sum.
(a) The closed form for ∑2 is 2.
(b) The closed form expression for ∑3 is 24.
(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.
(d) The value of -3 matches the manual computation of the four terms.
Our closed form solution is correct.
To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:
∑2 = n(a + l) / 2
In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.
We also know that there is only one term, so n = 1.
Substituting these values into the formula, we have:
∑2 = 1(2 + 2) / 2
= 4 / 2
= 2
The formula for the sum of the first n terms of an arithmetic series is:
∑n = n(a + l) / 2
In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).
Substituting these values into the formula, we get:
∑3 = 3(3 + 13) / 2
= 3(16) / 2
= 48 / 2
= 24
The formula we developed in class is:
∑n = n(a + a + (n - 1)d) / 2
In this case, we have a = 0 (the first term) and d = -1 (the common difference).
Substituting these values into the formula, we get:
∑n = n(0 + 0 + (n - 1)(-1)) / 2
= n(0 - n + 1) / 2
= n(1 - n) / 2
To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):
∑3 = 3(1 - 3) / 2
= 3(-2) / 2
= -6 / 2
= -3
Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:
0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1
= 0 - 1 - 2 - 3
= -6
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Help me with this question no explanation needed or just give it to me
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
Divide (3x⁴ -21x³+29x²-3x+28) ÷ (x−5)
Show steps
Answer:
-12
Step-by-step explanation:
\((3x⁴ -21x³+29x²-3x+28) ÷ (x−5)\)
\(\\ 3x⁴ -21x³+29x²-3x+28 \\ x - 5\overline{)3x⁴ -21x³+29x²-3x+28} \\3x {}^{4} - 15x {}^{3} \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - 6 {x}^{3 } + 29 {x}^{2} - 3x + 28 } \\ - 6 {x}^{3 } + 30 {x}^{2} \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - {x}^{2} - 3x + 28} \\ - {x}^{2} + 5x \: \: \: \: \: \: \: \: \: \\\overline { - \: \: \: 8x + 28} \\ \: \: \: \: \: 8x + 40 \\ - 12\)
Sobre una embarcación de 160 kg que está en reposo con su proa apuntando a la orilla, comienza a caminar una persona de 70 kg desde la proa hacia la popa, a 0.80 m/s respecto a la embarcación. ¿Cuáles son las velocidades de la embarcación y de la persona respecto a la orilla? Desprecia la resistencia del agua al movimiento.
The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.
How to calculate the velocityWe can use the conservation of momentum equation:
(mboat + mperson) * vboat = mperson * vperson
(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)
230 kg * vboat = 56 kg * (0.80 m/s + vperson)
vboat = (56/230) * (0.80 m/s + vperson)
vperson = 0.80 m/s + vboat
vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)
(174/115) * vperson = (504/115) * m/s
Dividing both sides by (174/115), we get:
vperson = 2.896 m/s
vboat = (56/230) * (0.80 m/s + vperson)
Substituting the value of vperson, we get:
vboat = 1.337 m/s
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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.
which could be a possible root of 3x4 10x3 9x2 40x 12 0
\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root
What is a root ?
Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.
Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
3x^4 -10x^3 -9x^2 + 40x - 12
=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)
=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)
= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)
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What fraction is equivalent to 0.46464646...
A)
46∕999
B)
46∕99
C)
23∕50
D)
46∕100
Answer:
Hello,
answer is B
Step-by-step explanation:
\(0.\overline{46}=\dfrac{46}{99}\)
The answer is a fraction with numerator is the period (46) and the denominator is a number made with 9 as longer that there are digits in the periode (here 2 digits ==> 99)
Which choice is equivalent to the fraction
Answer:
The answer is D
Step-by-step explanation:
The answer is D
Answer:D
Step-by-step explanation:5÷12 is the alternative form for 5/12
Solve sin^2θ−4sinθ−5=0 for 0°≤θ≤360°
Answer:
\(\theta=270^\circ\)
Step-by-step explanation:
Given Equation and Parameters
\(sin^2\theta-4sin\theta-5=0,\: 0^\circ\leq\theta\leq 360^\circ\)
Calculation
Let \(u=sin\theta\), thus:
\(u^2-4u-5=0\\\\(u+1)(u-5)=0\\\\u=-1,\: u=5\)
\(sin\theta=-1\\\\\theta=270^\circ\)
\(sin\theta=5\\\\\theta=unde fined\)
Conclusion
\(\theta=270^\circ\)
Hello! I need help thanks!
Answer:
On brainly we help each other what need help with
Step-by-step explanation:
Answer:
There shouldn't be any divison with this problem. If one gallon gets you thirty miles, then 13 gallons would get you 13 x 30 miles. There's no need for fractions. (He'd drive 390 miles on 13 gallons, by the way)
Step-by-step explanation:
when calculating the size of the labor force, the bureau of labor statistics counts not only people who are employed, but also
people who are unemployed but actively searching employment.
The Bureau of Labor Statistics (BLS) is a US government agency that provides data on labor market activity, working conditions and price movements in the economy.
Part of the U.S. Department of Labor, it is responsible for the collection, analysis, and public dissemination of economic data. BLS produces a wide range of statistical information, including data on employment, unemployment, wages, productivity, consumer price inflation, and occupational injuries and illnesses.
They also conduct research and publish reports on various labor market and business issues. The BLS is an invaluable resource for policy makers, businesses, workers and others who need reliable and up-to-date information on the state of the economy and labor market.
The workforce is defined as the total number of people who are employed or unemployed but are actively looking for work. Pensioners, students and housewives are not included. To be considered an active job seeker, you must have taken certain steps to find a job within the last four weeks. The size of the labor force is an important indicator of the health of the economy as a whole, as it reflects the number of people contributing to economic activity or looking for work.
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Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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the distance on a ruler between 8cm and 26cm =
Answer:
18 cm
Step-by-step explanation:
To find the distance, take the larger number and subtract the smaller number
26 cm - 8 cm
18 cm
The linear parent function, f(x) = x, is transformed to g(x)=3x-2. Which statement correctly compares the graphs of the functions?
In general, the greater the slope of a line, the steeper it is.
On the other hand, the slope-intercept form of a line is
\(\begin{gathered} y=mx+b \\ m\rightarrow\text{ slope} \\ b\rightarrow\text{ y-intercept} \end{gathered}\)Therefore, in our case,
\(\begin{gathered} f(x)=x=1*x+0 \\ \Rightarrow slope=1,\text{ y-intercept}=0 \\ g(x)=3x-2 \\ \Rightarrow slope=3,\text{ y-intercept}=-2 \end{gathered}\)Thus, the slope of g(x) is greater than that of f(x), and g(x) is f(x) shifted 2 units down.
The answer is option C. g(x) is the steeper one, and the y-intercept has been shifted down.I don’t understand pls help
Answer:
one solution is the correct answer
if you guys can make it out can you help me find the length of the small right triangle? sorry its really bad drawn
Answer:
32.0
Step-by-step explanation:
i really can't explain it but comment if need more help
and can u take better picture
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
find the perimeter of each shape.
2.5x − 3 square
2x - 2 triangle
The value of x is 2 and the perimeter of the square is 3 and perimeter of the triangle is 2.
Given that,
The equilateral triangle and the square have the same perimeter.
The side of the triangle is 2x-2 and the side of the square is 2.5x-3.
We have to find the value of x.
We have,
Triangle's perimeter is equal to the square's perimeter.
2.5x-3= 2x-2
2.5x-2x=-2+3
0.5x=1
x=1/0.5
x= 2
The perimeter of the square is 2.5(2)-3=5-2=3
The perimeter of the triangle is 2(2)-2=4-2=2
Therefore, The value of x is 2 and the perimeter of the square is 3 and perimeter of the triangle is 2.
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please help im stuck in this answer pls pls pls help me
Mary Sue was a dedicated company employee. She worked for the same company for 32 years
(1986 to 2018). Mary Sue once noted “When I started working here in 1986, I was making $20,000.
Now I’m making about $60,000!”
a) By what percent has Mary Sue’s salary increased over the years?
b) Inflation from 1986 to 2018 was about 130%, meaning increase $1 in 1986 by 130% to get its
equivalent value in 2018:
130% of $1: $1(1.3) = $1.30
Increase by 130%: $1 + $1.30 = $2.30.
So, $1 in 1986 has the same value as $2.30 in 2018.
Knowing this, what might someone say was Mary Sue’s “true” percent increase in salary over
the years? (i.e., what is her percent salary increase when adjusted for inflation?).
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
L,M,N are midpoints altitude to ac
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Divide Using Synthetic Division
The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
What is polynomial?A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.
The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.
To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:
Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:
-3 | 1 8 9 -18 0
Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.
-3 | 1 8 9 -18 0
-3
Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.
-3 | 1 8 9 -18 0
-3
-3
Step 4: Add the result to the 8, and place the new result in the next row.
-3 | 1 8 9 -18 0
-3
-3
5
Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.
-3 | 1 8 9 -18 0
-3
-3
5
-15
-15
18
Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0
d 8, write the equation of the plane passing through p with normal vector n in (a) normal form and (b) general form.
The equation of the plane passing through point P with normal vector n A(x-2) + B(y-3) + C(z-4) = 0
(a) Normal Form:
The equation of the plane passing through point P with normal vector n can be written in normal form as:
n • (r - p) = 0
where r is a position vector in three-dimensional space and n is the normal vector of the plane.
Given n = (1,2,3) and p = (2,3,4).
Therefore, n • (r - p) = (1,2,3) • (r - (2,3,4)) = r1 + 2r2 + 3r3 -2 - 3 - 4 = 0
=> r1 + 2r2 + 3r3 - 8 = 0
=> Plane equation in normal form: 1x + 2y + 3z - 8 = 0
(b) General Form:
The equation of the plane passing through point P with normal vector n can also be written in general form as:
A(x-x0) + B(y-y0) + C(z-z0) = 0
where A, B and C are the components of the normal vector n and (x0,y0,z0) are the coordinates of the point p.
Given n = (1,2,3) and p = (2,3,4).
Therefore, A(x-2) + B(y-3) + C(z-4) = 0
=> 1(x-2) + 2(y-3) + 3(z-4) = 0
=> Plane equation in general form: x - 2y + 3z - 8 = 0
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Provide complete question here:Write the equation of the plane passing through p with normal vector n in (a) normal form and (b) general form.
If the first equation is multiplied by 3 and then the equations are added, the resut is
3x+ y=3
x-3y=2
Kelli Lenz has a family plan. Her HMO premium is $16,850. Her employer pays 65% of the cost. a) How
much does Kelli pay annually? b) How much is deducted from her semimonthly paycheck?
a) Kelli pays $5,897.50 annually. b) approximately $245.73 is deducted from Kelli's semimonthly paycheck.
Answers to the questionsa) To calculate how much Kelli pays annually, we need to subtract the amount paid by her employer from the total premium.
Amount paid by Kelli = Total premium - Employer contribution
Amount paid by Kelli = $16,850 - (65% * $16,850)
Amount paid by Kelli = $16,850 - $10,952.50
Amount paid by Kelli = $5,897.50
Therefore, Kelli pays $5,897.50 annually.
b) To calculate how much is deducted from Kelli's semimonthly paycheck, we need to divide the annual amount paid by Kelli by the number of semimonthly pay periods in a year.
Number of semimonthly pay periods in a year = 12 months * 2 = 24 pay periods
Amount deducted from Kelli's semimonthly paycheck = Amount paid by Kelli / Number of pay periods
Amount deducted from Kelli's semimonthly paycheck = $5,897.50 / 24
Amount deducted from Kelli's semimonthly paycheck ≈ $245.73 (rounded to two decimal places)
Therefore, approximately $245.73 is deducted from Kelli's semimonthly paycheck.
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Help. Please and thanks.
Answer:
(2,6)
Step-by-step explanation:
What is a dilation?
A dilation is a type of transformation that resizes an object.
To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor
Applying the dilation rule
We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2
Current coordinates of the triangle :
A(1,1) B(1,3)C(3,1)Coordinates after dilation
A' = (1,1) ===> (1×2,1×2) ===> (2,2)
B' = (1,3) ===> (1×2,3×2) ===> (2,6)
C' = (3,1) ===> (3×2,1×2) ===> (6,2)
The coordinate of the vertex B after the dilation is (2,6)