Answer:
n=30
Step-by-step explanation:
40/36=1.111111
1.111111 times 27=30
Answer:
n=30
Step-by-step explanation:
solve by simplifying both of the equations , the isolating the variable
Reduce the fraction with 9 27/36 divide top and bottom by 9 = 3/4
n/40=3/4 cross multiplication 4n = 120 ( divide both sides by 4 )
n=30
What is the value of x?
A. 6
B. 6√2
C. 12
D. 12√2
Answer:
the answer is c
Step-by-step explanation:
i got it right on my test. Hope This helps!
There is a unique parabola whose symmetry axis is parallel to the y-axis, and that passes through the three points (1, 1), (−2, −2), and (0, −4). Write an equation for it. Given any three points, must there be a parabola that will pass through them? Explain.
The equation for this parabola is y = -2x² - 2x + 4.
What is Equation?An equation in which is the highest power of to the variables 1 is knowns as the linear equation. Mathematically: it is an algebraic equations that can be also written in the form of ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.
No, there does not have to be a parabola that will pass through any three points. For a parabola to pass through three points, the three points must be collinear, meaning that they must lie on the same straight line. If the three points are not collinear, then there is no parabola that will pass through them.
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please helpppppp!!!!!
9514 1404 393
Answer:
A + 2×BD - 2×CStep-by-step explanation:
The shaded area contains area A and two of area B. The expression for that area can be written ...
Area of trapezoid = A + 2×B
__
The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...
Area of trapezoid = D - 2×C
Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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Marco needs to buy some dog food. At the nearest store, 5 bags of dog food cost $27.50. How much would Marco spend on 3 bags of dog food?
Answer:
$16.50
Step-by-step explanation:
$27.50/5=5.5
5.5*3=16.5
Answer:
What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:
27.50/5 = 5.50 dollars
Now, we know how much does one bag cost, so we multiply it by three:
5.50 * 3 = 16.50
Now, we know 3 bags cost 16.5 dollars
the world series in baseball continues until either the american league team or the national league team wins four games. how many different orders are possible (e.g., annaaa means the american league team wins in 6 games) if the series goes four games?
There are 7 different orders possible if the series goes four games.
How to find orders if the series goes four games?If the series goes exactly four games, then one team must win at least three of those games in order to win the series.
Without loss of generality, let's assume that the American League (AL) team wins the series in four games.
There are several possible ways that this could happen:
AL team wins the first 4 games (AAAA)AL team wins the first 3 games, then the National League (NL) team wins the fourth game (AAAN)AL team wins the first 2 games, then NL team wins the third game, and AL team wins the fourth game (AANAA)AL team wins the first 2 games, then NL team wins the third and fourth games (AANNN)AL team wins the first game, then NL team wins the second game, and AL team wins the third and fourth games (ANAAA)AL team wins the first game, then NL team wins the second and third games, and AL team wins the fourth game (ANANAA)AL team wins the first game, then NL team wins the second, third, and fourth games (ANANNN)Therefore, there are 7 different orders possible if the series goes four games.
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how much volume in one grain of rice
A grain of rice contains about 0.029 milliliters of volume.
A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.
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If the angles of a triangle are in the ration of 3 : 4 : 5, find them.
Answer:
the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.
Step-by-step explanation:
Let's denote the angles of the triangle as 3x, 4x, and 5x, where x is a constant.
Since the sum of the angles of a triangle is 180 degrees, we can write the following equation:
3x + 4x + 5x = 180
Simplifying this equation, we get:
12x = 180
Dividing both sides by 12, we get:
x = 15
Therefore, the angles of the triangle are:
3x = 3(15) = 45 degrees
4x = 4(15) = 60 degrees
5x = 5(15) = 75 degrees
So the angles of the triangle are 45 degrees, 60 degrees, and 75 degrees, and they are in the ratio of 3 : 4 : 5.
Three vertices of parallelogram DEFG are
D(0, 2), E(-1, 5), and G (4, 0). Find
the coordinates of F.
Answer:
F(3,3)
Step-by-step explanation:
The coordinate of F is (3, 3).
GivenThree vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).
What is the formula to find the midpoints?Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\)
Let (x, y) = coordinates of vertex F.
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of EG
Then,
The midpoint of D(0, 2) and F(x, y) is;
\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}\)
The midpoint of E(-1, 5) and G(4, 0) is;
\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}\)
Comparing the equation;
\(\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3\)
\(\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3\)
Hence, the coordinate of F is (3, 3).
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a diagonal walkway through a park is 38 meters long if the park is a square how long is one of its sides to nearest hundredth of a meter
The length of one side of the square park is approximately 26.87 meters.
To find the length of one side of the square park, we can use the Pythagorean theorem. In a square, the diagonal walkway forms a right-angled triangle with two equal sides (the sides of the square).
Let the length of one side be x meters. According to the Pythagorean theorem, the sum of the squares of the two shorter sides (x^2 and x^2) equals the square of the longest side (38^2).
x^2 + x^2 = 38^2
Combine the x^2 terms:
2x^2 = 38^2
Divide by 2:
x^2 = (38^2) / 2
Now, take the square root of both sides to find the length of one side:
x = √((38^2) / 2)
x ≈ 26.87 meters
The length of one side of the square park is approximately 26.87 meters.
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What is the quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation
Answer:
Da answer issss...7.4 x 10^4..I tink
The quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation is 7.4*10⁴.
Given numbers are:
\(5.846*10^7\)
\(7.9*10^2\)
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
For example, 850,000,000 can be written in scientific notation as 8.5 ✕ 10^8.
So, \(\frac{5.846*10^7}{7.9*10^2}\)
\(=\frac{5.846}{7.9} *\frac{10^7}{10^2}\)
\(=0.74*\frac{10^7}{10^2}\)
We know that \(\frac{a^m}{a^n} =a^{m-n}\)
So, \(0.74*\frac{10^7}{10^2} = 0.74*10^5\)
\(=7.4*10^4\)
Hence, the quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation is 7.4*10⁴.
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In parallelogram ABCD, the measure of angle A is 99 degrees. Explain why the
measure of adjacent angle B must be 81 degrees.
Answer:
The measure of angle B must be 81° because angles A and B are interior supplementary angles
Step-by-step explanation:
Let us revise the properties of a parallelogram
In any parallelogram:
Every two opposite sides are parallelEvery two opposite sides are equal in lengthEvery two opposite angles are equal in measureEvery to adjacent angles are interior supplementary anglesLet us solve our question
In parallelogram ABCD
∵ AD and BC are opposite sides
∴ AD // BC
∵ ∠A and ∠B are adjacent angles
→ That means ∠A and ∠B are interior supplementary angles
∴ ∠A and ∠B are supplementary angles
∵ The sum of the measures of the supplementary angles is 180°
∴ m∠A + m∠B = 180°
∵ m∠A = 99°
∴ 99° + m∠B = 180°
→ Subtract 99° from both sides
∴ 99° - 99° + m∠B = 180° - 99°
∴ m∠B = 81°
The measure of angle B must be 81° because angles A and B are interior supplementary angles
Given quadrilateral ABCD and its image under a dilation centered at the origin, find the scale factor. (note: orange is original image)
The scale factor of the image under a dilation centered at the origin is 2.
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Let us assume that quadrilateral ABCD have vertices at A(2, 1) while its image has vertices at A'(4, 2), hence:
Scale factor = 4/2 = 2/1 = 2
The scale factor of the image under a dilation centered at the origin is 2.
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plsss i need help with this asap !!
helppp!! i need help with this question
Answer:
I believe it would be A
Step-by-step explanation:
Which polygon matches this set of ordered pairs? A(1,3), B(1,9). C(4,9), D (4,3) 10 С O A. 5 3 2 4 5 6 7 8 9 10 10 9 8 B. 3 2 1 2 3 4 5 6 7 8 9 10 10 o
ANSWER
Option A
EXPLANATION
We want to find the polygon that matches to given ordered pairs.
To do this, we have check for the coordinates of the vertices of each polygon to cross-check with the given vertices if they match.
Doing this, we see that the polygon with that matches the set of ordered pairs is Option A.
Answer:
it is pretty much option A
Step-by-step explanation:
Determine which equation below has a solution of x = 2.
A. 5x + 8 – 12x = -6x + 2x - 3
B. 6x + 4 – 12x = -10x + 18x - 3
C. 48-6 +x= -2x + x - 10
D. -3x - 8 + x = -4x + x - 10
Answer:
I am not sure, I might have did my math wrong. But..
Step-by-step explanation:
5(2)+8-12(2) = -6(2)-3
10+8-12=-12-3
6=-15
6(2)+4-12(2)=-10(2)+18(2)-3
12+4-24=-20+36-3
-8=13
48-6+2=-2(2)+2-10
44=-4+2-10
44=-12
-3(2)-8+2=-4(2)+2-10
-6-8+2=-8+2-10
-14+2=-6-10
-12=-16
Answer:
Step-by-step explanation:
A, B and C
how would i do both of these, show work pls
Answer:
-12.5%
-14.29%
Step-by-step explanation:
For #2:
Original price is $2.00, that price decreased by $0.25 is $1.75. First figure out what $0.25 out of $2.00 is as a percent:
0.25/2.00 = 0.125 = 12.5%
Then, since the price DECREASED by $0.25, the percent would be negative.
For #4:
Original price is $3.50, that price decreased by $0.50 is $3.00. Like #2, you need to figure out what $0.50 out of $3.50 is as a percent:
0.50/3.50 = 0.1429 = 14.29%
Then, since the price DECREASED by $0.50, the percent would be negative.
Solve the system of equations.
5y - 4x = -7
2y + 4x = 14
X=
y =
Step-by-step explanation:
7y = 7
y = 1
2(1) + 4x = 14
4x = 12
x = 3
David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?
Answer:
$37.80
Step-by-step explanation:
Add the cost of the 2 video games together to get 77.85
Subtract 77.85 from the total, $115.65
$37.80
Hope this helps :-)
Can someone please help me?!
Answer:
The answer is 5^10 or 9765625
Step-by-step explanation:
Can someone help me with 12
Answer:
5p+4>14 (A)
Step-by-step explanation:
Open dot means that the value is not included.
How do you find the area of a contour?
5^x + 5^x+1= 150
Find x
Help me pls i need soon
Tksss
Answer:
\(x=2\)
Step-by-step explanation:
So we have the equation:
\(5^x+5^{x+1}=150\)
First, separate the second term:
\(5^x+(5\cdot5^x)=150\)
Let u equal 5ˣ. So:
\(u+5u=150\)
Combine like terms:
\(6u=150\)
Divide both sides by 6:
\(u=25\)
Substitute back u:
\(5^x=25\)
Take the base 5 logarithm of both sides:
\(\log_5(5^x)=\log_5(25)\)
The left cancels:
\(x=\log_5(25)\)
Evaluate the right:
\(x=2\)
So, our answer is 2.
And we're done!
help with these 2 questions! i will give brainlist
Answer:
8. 117°
9. 6.5
Step-by-step explanation:
8. x =½(201+33)= ½(234)= 117°
9. x = 9-2.5 = 6.5
J.D. Power and Associates surveys new automobile owners to learn about the quality of recently purchased vehicles. The following questions were asked in the J.D. Power Initial Quality Survey, May 2012.a. Did you purchase or lease the vehicle?b. What price did you pay?c. What is the overall attractiveness of your vehicle’s exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional)d. What is your average miles-per-gallon?
(a) Lease the vehicle is Categorical
(b) Price pay Quantitative
(c) The overall attractiveness of your vehicle's exterior is Categorical
(d) Average miles-per-gallon is Quantitative
Now, According to the question:
a. Did you purchase or lease the vehicle? CATEGORICAL DATA
b. What price did you pay? QUANTITATIVE DATA
c. What is the overall attractiveness of your vehicle's exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional) CATEGORICAL DATA
d. What is your average miles-per-gallon? QUANTITATIVE DATA
Quantitative data can be measured in numbers, e.g. 20 miles per gallon. While categorical data refers to non-numerical responses, e.g. higher quality, better looks, and is generally obtained by choosing one response from a group of available answers.
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Pls help.
Question above
Answer:
\(m = \frac{5}{2} \)
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• \( \sqrt{a} = {a}^{ \frac{1}{2} } \)
• \( \frac{1}{a} = {a}^{ - 1} \)
Logarithm
• \( log_{a}( {x}^{n} ) = n log_{a}(x) \)
\( log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) \)
\( = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) \)
\( = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) \)
\( = \frac{5}{2} log_{m}(2) \)
3. A figure KLMN is a square centered at the origin.
M is in quadrant I, L is in quadrant II, K is in
quadrant III, and N is in quadrant IV. The side
length of the square is 3z. What are the coordinates
of the vertices?
Step by step answer please, I’m begging
Step-by-step explanation:
hope you can understand
Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?
The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.
The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.
For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).
The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).
To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.
The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
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What is an equation of the line that passes through the points (-6,3) and
(-6, -3)?
Answer: The equation: x=-6
Step-by-step explanation: Use desmos for graphing equations