Answer:
Step-by-step explanation:
value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16
What is the slope of a line perpendicular to the line whose equation is 3x+18y=108.
The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).
We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.
Given a line 13x + 18y=108, this slope intercept form can be written as,
3x + 18y = 108
18y = 108 - 3x
y = (108 /18) - (3/18)x.
y = (6) - 1x/6.
y = -(1/6)x + 6.
Hence the slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).
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PLEASE PLEASE HELP
ILL MARK BRAINLIEST ANSWER
Answer:
Please show me the anwers
Step-by-step explanation:
Answer: domain: (-∞,∞), {x |x∈ R}
range: (0,∞), { y | y > 0 }
asymptote: y=0
y-intercept: (0,1)
discuss the continuity of the function. f(x, y) = sin(xy) xy , xy ≠ 0 1, xy = 0
The function f(x,y) is at origin \(\left|\frac{\sin x y}{x y}-1\right| < \varepsilon\).
We can treat this function as h=xy and then it will looks like sin h/h because if we choose any path passing through original it will always continuous so above f(x,y) is continuous
\($$f(x, y)= \begin{cases}\frac{\sin x y}{x y,} & \text { if } x y \neq 0 \\ 1, & \text { if } x y=0\end{cases}$$\)
Choose y=mx path y→0, x→0
\($$\begin{aligned}\lim _{\substack{x \rightarrow 0 \\y=\infty}} f(x, x) & =\lim _{x \rightarrow 0} \frac{\sin m x^2}{m x^2} \\& =\lim _{x \rightarrow 0} \frac{\cos m x^2 \cdot 2 m x}{2 m x}=1\end{aligned}$$\)
Now consider,
\($|f(n, y)-L 1=| \frac{\sin x-1}{n y}-1 \mid < \varepsilon$\)
\($$$\forall \varepsilon > 0$, and $|n| < \delta,|y| < d$$$=\left|\frac{\sin x y}{x y}-1\right| < \varepsilon$$\)
Hence f(x,y) is continues at origin.
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Discuss the continuity of the function:
\($$f(x, y)= \begin{cases}\frac{\sin x y}{x y,} & \text { if } x y \neq 0 \\ 1, & \text { if } x y=0\end{cases}$$\)
Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour
4/10 in simplest terms/ simplified
Answer:
2/5
Step-by-step explanation:
divide 4 by and the 10 by two.
Answer: 2/5
Step-by-step explanation:
To simplify a fraction you can divide the top and bottom by the same number as long as it goes in evenly
\(\frac{4/2}{10/2} =\frac{2}{5}\)
Select the correct answer.
The variable y varies directly as x When x= 20, y= 12. What is the value of ywhen x = 15?
The value of y when x = 15 is 9.
In this problem, we are dealing with direct variation, which means that y is directly proportional to x. This can be represented by the equation y = kx, where k is the constant of proportionality. To find the value of k, we can use the initial values given: when x = 20, y = 12. Plugging these values into the equation, we get 12 = k(20), which simplifies to k = 0.6. Now that we know the value of k, we can use it to find the value of y when x = 15: y = 0.6(15) = 9. Therefore, the answer is 9.
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What are the x coordinate and the y coordinate of the center of mass for the uniform plate shown in Figure below if L=5.0 cm?
From the X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.
According to the Question:
Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at
(x₁, y₁) = (−5.0cm,−2.5cm).
Now,
The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).
Now,
The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃) = (5cm,−15cm).
(a) The x coordinate of the center of mass for the plate is
\(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)
= -0.45 cm
(b) The y coordinate of the center of mass for the plate is
\(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)
= -2.0 cm.
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When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?
Original Equation:
3
+
(
2
+
x
)
=
3+(2+x)=
5
5
First Step:
First Step:
(
3
+
2
)
+
x
=
(3+2)+x=
5
5
Answer: Associative Property of Addition
Step-by-step explanation: She had moved the parenthesis to make it easier to add the like terms and this action in the Associative Property of Addition.
Solve -7 2/3 + (-5 1/2)+8 3/4=
Answer:
15 19/60
Step-by-step explanation:
-7 2/3 + (- 5 1/2) + 8 3/4 =
23/3 +(- 11/10) +35/4 =
LCM of 3,4 and 10 = 60
460/60 + (- 66/60) + 525/60 =
460+525= 985 - 66 = 919
919/ 60 = 15 19/60
Please help me with this question. the m is 6 and the d is 8
Step-by-step explanation:
so, we have
6x² + 8xy + 8y²
and
5x² + 3xy + 16y²
we can combine only terms of the same kind (defined by the type and exponent of the used variables).
this is like adding fruit.
e.g. when we have a mixture of 3 apples, 4 oranges and 5 plums, and we add a mixture of 6 apples, 2 oranges and 3 plums - what do we get ?
we get a new mixture of
3+6 = 9 apples
4+2 = 6 oranges
5+3 = 8 plums
and exactly the same thing happens with mixing terms when adding them up.
so, we get
6+5 = 11x²
8+3 = 11xy
8+16 = 24y²
so, the result is
11x² + 11xy + 24y²
it is really that simple.
backtracking is used to solve which of the problems: group of answer choices
a. to find all possible solutions b. problems that have sub-problems similar to divide and conquer c. any numerical problems d. optimal solution problems
Backtracking is primarily used to solve problems where the goal is to find all possible solutions.
(a) Backtracking is a technique commonly employed to explore all potential solutions to a problem. It involves incrementally building a solution by making choices and then undoing those choices if they lead to a dead end. This process continues until all possible solutions have been explored. Backtracking is particularly effective when the problem involves a search space with multiple decision points and requires exhaustive exploration.
While backtracking can be used in some situations that involve sub-problems or optimization, its main strength lies in finding all possible solutions rather than specifically targeting problems with sub-problems similar to divide and conquer or seeking optimal solutions. Therefore, option (a) "to find all possible solutions" is the most accurate choice among the given options.
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A teacher wants to compare the mean geology scores of two different classes. She is testing the null hypothesis that there is no difference in the population mean scores of the two classes. The difference of the sample means is 51. 4. If the standard deviation of the distribution of the difference of sample means is 16. 66, what is the 95% confidence interval for the population mean difference?.
The confidence interval for the population mean difference is between -33.2 and + 33.2
You have a 5% probability of being incorrect with such a 95% confidence interval. You have such a 10% probability of becoming incorrect with a 90% confidence interval. In contrast to a 95 % confidence interval, a 99 per cent confidence interval would be larger (plus or minus 4.5 per cent as opposed to 3 per cent, for example).
The answer in this situation would be +/-(2 * 16.6) from the mean, or -33.2 and +33.2 points from the sample mean because the 95% confidence interval is equal to two standard deviations on either side of the mean. This would result in an answer of A.
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Your question is incomplete, but probably the full question was:
A teacher wants to compare the mean geology scores of two different classes. She is testing the null hypothesis that there is no difference in the population mean scores of the two classes. The difference of the sample means is 51.4. If the standard deviation of the distribution of the difference of sample means is 16.66, what is the 95% confidence interval for the population mean difference?
A)between -33.2 and + 33.2
B)between -49.9 and +49.9
C)between -102.8 and +102.8
D)between -154.2 and +154.2
The speed limit on a road is 50 mph. A car drives 19 miles in 22 minutes. Is the car breaking the speed limit? You must show your workings.
Answer: Yes, the car is breaking the speed limit
Work Shown:
22 min = 22/60 = 0.36667 of an hour approximately
distance = rate*time
rate = distance/time
rate = (19 mi)/( 0.36667 hr)
rate = 51.818 mph approximately
The car is slightly over the 50 mph speed limit.
Use the series formula to find the sum of the geometric sequence -5,15,45,135 Use the series formula to find the sum of the geometric sequence. Find the sum of the first 10 terms.
The sum of the first 10 terms of the sequence -5, 15, 45, 135 is 295240.
We can use the following formula to determine the sum of a geometric sequence:
S = a(1 - r^n) / (1 - r) (1 - r)
where an is the first term, r is the common ratio, and n is the total number of terms, S is the sum of the sequence.
We can see that the first term in the series -5, 15, 45, 135 is -5, and the common ratio is 3. (since each term is obtained by multiplying the previous term by 3). The series contains 4 terms, hence n is equal to 4. Adding these values to the formula yields the following results:
S = -5(1 - 3^4) / (1 - 3) (1 - 3)
S = -5(1 - 81) / (-2) (-2)
S = 5(80) (80)
S = 400
The total of the numbers 5, 15, 45, and 135 equals 400.
We may once more use the following formula to determine the sum of the first 10 entries in the same sequence:
S = a(1 - r^n) / (1 - r) (1 - r)
Instead, we will use a = -5, r = 3, and n = 10 this time. By replacing these values, we obtain:
S = -5(1 - 3^10) / (1 - 3) (1 - 3)
S = -5(1 - 59049) / (-2) (-2)
S = 5(59048) (59048)
S = 295240
The result is 295240 for the first 10 terms in the series, which are -5, 15, 45, and 135.
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How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
PLEASE HELP!!!
You make 4 out of 5 extra points in a game. What PERCENT of extra points where made?
Answer:
80% I am thinking is correct
Answer:
i don't know but you can get sarcratic it scan questions and tell you answers
Step-by-step explanation:
1 gram is equal to how many kilograms
1 gram is equal to 0.001 kilogram.
To convert grams to kilograms, divide grams by 1000.
Square ABCD is translated 9 units to the right, followed by a translation 6 units down
Square ABCD is reflected across the y-axis, followed by a translation 6 units down
Square ABCD is translated 6 units down, followed by a translation 9 units to the right
Answer:
71
Step-by-step explanation:
ndndnrbrjen3n3nn3b2n2b2b
Evaluate 1 1/2 + 3/4 ÷ (-1/3) - 2/3 Enter your answer as a mixed number in simplest form in the box
The result of the expression as a mixed fraction is -1 5/12
Given the expression
\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Write as an improper fraction
\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Using the PEDMAS rule;
\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)
Find the LCM of the result
\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)
Hence the result of the expression as a mixed fraction is -1 5/12
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a fish is reeled in at a rate of foot per second from a point feet above the water (see figure). at what rate is the angle between the line and the water changing when there is a total of feet of line from the end of the rod to the water?
(-10/252) x (1/0.9165) = 0.0175 rad/sec is the equation for theta/dt.
Angle theta in the displayed figure can be expressed as
Theta sin = 10/sin
The angle will change at the following rate:
(-10/x2)(dx/dt) = cos theta(theta/dt)
Now, when x equals 25 feet, we require d theta/dt.
The fishing line is reeled in at a rate of
dx/dt = -1 ft/sec.
Now, if x equals 25, then Cosine equals
[ (x2-100)]
Cosine equals [ (252-100)]/25 = 0.9165So,
(-10/x2)(dx/DT)(1/cos theta) = theta/DT
The formula for theta/it is (-10/252)x(1/0.9165) = 0.0175 rad/sec.
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est.
nas
ge
5. In a survey, of the students at one
25
school said they wanted to become
doctors and 16% of the students
at
the same school said they wanted to
become teachers. The rest of the
students were undecided. Which of
the following represents the students
who were undecided?
Percentage of students who were undecided is 59% of the students were undecided about their future careers.
what is Percentage?
A percentage is a fraction or ratio expressed as a fraction of 100. It is a way of expressing a part of a whole as a proportion of the whole. It is denoted by the symbol '%'. For example, if there are 100 students in a class and 20 of them are girls, then the percentage of girls in the class is 20%.
In the given question,
To solve the problem, we need to first find out the percentage of students who were undecided. We know that 25% of the students wanted to become doctors and 16% wanted to become teachers. The percentage of students who were undecided can be found by subtracting the sum of the percentages of those who wanted to become doctors and teachers from 100%:
Percentage of students who were undecided = 100% - (25% + 16%) = 59%
Therefore, 59% of the students were undecided about their future careers.
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image below thx god bless you :)
Answer:
C
Step-by-step explanation:
what ever way the < > is facing that is the way you "shaded" and if the < > has a line under it the # that has the circle the Circle will be colored in if the < > does not have a line under it then its a open circle
Answer:
The answer is C
Step-by-step explanation:
the reason why it is C is because this > symbol is facing towards the left.
Kristina walks from her house, around the park, to the store. She is interested in taking a shortcut through the park to save time. Approximately how far away from her house is the store, if she were to follow the path shown by the dotted line in the graphic below?* HOUSE PARK 80 m 100 m STOR O 134 m O 128 m O 180 m 200 m nal. If a 65 inch television has 1 point
If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.
How to calculate the distance between her house and the store?To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;
C² = a² + b²
where;
a= 80
b= 100
c= ?
That is;
c²= 80²+100²
= 6400+10000
= 16,400
c = √16400
= 128.1m
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find the probability of rolling a 2 with a pair of dice. (round your answer to three decimal places.)
The total number of possible outcomes when rolling two dice is 6 × 6 = 36 (assuming the dice are fair and six-sided).
The number of ways to roll a 2 is 1, since a 2 can only be obtained by rolling a 1 on one die and a 1 on the other die.
Therefore, the probability of rolling a 2 is 1/36, which is approximately 0.028 (rounded to three decimal places).
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quadrilateral rstu has vertices R(2,4) ,s (-2,2), T(-1,0)and (3,2)
Verify:
i) quadrilateral rstu is a rectangle
ii) the diagonals of the rectangle bisect each other and are equal in lengths .
As RS=TU and ST=UR by distance formula, The given quadrilateral RSTU is rectangle and The diagonals RT=US so they are equal and bisect each other at right angle.
What is rectangle?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel. An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional shape. The rectangle's longer side is its length, and its shorter side is its width.
Here,
Calculate the length of sides by distance formula.
RS=√(y2-y1)²+(x2-x1)²
=√(2-4)²+(-2-2)²
=√4+8
=√(12
=2√3 units
ST=√(y2-y1)²+(x2-x1)²
=√(0-2)²+(-1-(-2))²
=√(4+1)
=√5 units
TU=√(y2-y1)²+(x2-x1)²
=√(2-0)²+(3-(-1))²
=√(4+8)
=√12
=2√3 units
UR=√(y2-y1)²+(x2-x1)²
=√(4-2)²+(3-2)²
=√(4+1)
=√5 units
RT=√(y2-y1)²+(x2-x1)²
=√(0-4)²+(-1-2)²
=√(16+9)
=√25
=5 units
US=√(y2-y1)²+(x2-x1)²
=√(2-2)²+(-2-3)²
=√(0+25)
=√25
=5 units
Because the given quadrilaterals, RS=TU and ST=UR, are rectangles and the diagonals, RT=US, are equal and at right angles to one another, according to the distance formula.
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Four graphs are shown below:
Graph A
Graph B
Graph C
Graph D
Which graph best shows the line of best fit? (1 point)
The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of two per sheet. What percent of these sheets have no air bubbles
The percentage of the sheets with no air bubbles is given as follows:
13.53%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are listed and explained as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.The mean for this problem is given as follows:
\(\mu = 2\)
The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:
P(X = 0) = e^-2 = 0.1353 = 13.53%.
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Teresa has a $100 gift card to her favorite restaurant. Each day, she uses her gift card to buy the same lunch for $8.50. Colin has a $75 gift card to the same restaurant. His lunches cost $6 each. For what numbers of lunches will Teresa's gift card balance be greater than Colin's gift card balance?
Answer:
12 lunches.
Step-by-step explanation:
Theresa:
$8.50 * 11 = $93.50 so she can buy 11 lunches with her gift card.
Colin:
$6 * 12 = $72 so he can buy 12 lunches with his gift card.
So Colin can buy one more lunch than Theresa. Therefore, if Theresa buys 12 lunches, she will go over her gift card.
What is f(4) for the function f(x) = 6x +3?
f(4)=0
The value of function f(4) is 27.
It is required to find the value of function f(4).
What is function?
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given that:
The function is
f(x) = 6x +3
Now put the value x=4 in the given function, we get
f(4)=6(4) +3
= 24+3
=27
f(4)=27.
Hence, the value of function f(4) is 27.
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x-3/4 = 5/6 Solve for x.
Simplify your answer as much as possible.
Answer:
x = 1 + 7/12
Step-by-step explanation:
First find the common denominator for the fractions
Then you should get x - 18/24 = 20/24
Add 18/24 to both sides to get x = 38/24 or 1 and 7/12
Answer: The value of x is 19/12
Step-by-step explanation: