h(-1) is undefined in the real number system since the square root of a negative number is not a real number.
What is the real number?
Real numbers are a set of numbers that include all rational and irrational numbers. They can be represented on the number line and are often used to represent physical quantities such as distance, time, and temperature.
To find h(-1), we substitute -1 for x in the given equation for h(x) and simplify:
h(x) = (√x+5)/(6x-2)
h(-1) = (√(-1)+5)/(6(-1)-2) [Substitute x=-1]
= (√(-1) is not a real number, since the square root of a negative number is not real]
Therefore, h(-1) is undefined in the real number system since the square root of a negative number is not a real number.
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The probability density function of X, the lifetime of a certain type of device (measured in months) is given by f(x) = 0 if x < 2121/x^2 if x > 21 f(x) Find the following: P(X > 48) = The cumulative distribution function of X: f(x)= if x < 21if x > 21 The probability that at least one out of 7 devices of this type will function for at least 44 months:
The probability that at least one out of 7 devices of this type will function for at least 44 months is 1 - 0.9779167, or 0.0220833.
The probability density function of X, the lifetime of a certain type of device, is given by \(f(x) = 0 if x < 21; 1/x^2 if x > 21.\)To find the probability that X > 48
we can use the cumulative distribution function of\(X: f(x) = 0 if x < 21; 1 - 1/x^2 if x > 21\). Therefore, the probability that\(X > 48\) is 1 - 1/48^2, or 0.9609375.To find the probability that at least one out of 7 devices of this type will function for at least 44 months
we can use the binomial distribution formula.
The probability is given by \(P(X ≥ 1) = 1 - P(X = 0)\). Using the cumulative distribution function.
The probability that X = 0 is given by \(1 - 1/44^2, or 0.9779167.\)
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Challenge A movie theater sends out a coupon for 30% off the price of a ticket. Write an equation
for the situation, where y is the price of the ticket with the coupon, and x is the original price of the
ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be
in the first quadrant.
The equation is y=
Answer:
The equation is y= 0,65 x
Step-by-step explanation:
Use molar volume to calculate each of the following at STP:
Part A
The number of grams of Ne contained in 25.0 L of Ne gas
Part B
The volume, in liters, occupied by 32.0 g of Ar gas
At STP (standard temperature and pressure), the molar volume of an ideal gas is 22.4 L/mol. To calculate the grams of Ne (neon) gas in 25.0 L, we first need to find the moles of Ne gas and then convert it to grams using its molar mass.
1. Find moles of Ne:
25.0 L Ne * (1 mol Ne / 22.4 L) = 1.1161 mol Ne
2. Convert moles to grams:
Ne has a molar mass of 20.18 g/mol.
1.1161 mol Ne * (20.18 g/mol) = 22.51 g Ne
Answer: There are 22.51 grams of Ne contained in 25.0 L of Ne gas at STP.
Part B:
To find the volume in liters occupied by 32.0 g of Ar (argon) gas at STP, we first need to find the moles of Ar gas and then convert it to volume using the molar volume at STP.
1. Find moles of Ar:
Ar has a molar mass of 39.95 g/mol.
32.0 g Ar * (1 mol Ar / 39.95 g) = 0.8010 mol Ar
2. Convert moles to volume:
0.8010 mol Ar * (22.4 L/mol) = 17.94 L Ar
Answer: 32.0 g of Ar gas occupies 17.94 liters at STP.
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The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
What is the term that relates to the way data tend to cluster around some middle or central value.
Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.
Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.
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what is the largest value of x that is not a solution to:
-(9x-4)+12+18x>79
Answer:
7Step-by-step explanation:
given the expression, we are expected to solve for the value of x
\(-(9x-4)+12+18x>79\)
we begin by opening the bracket
\(-(9x-4)+12+18x>79\\\\-9x+4+12+18x>79\\\\\)
collect like terms
\(-9x+4+12+18x>79\\\\-9x+18x+4+12>79\\\\9x+16>79\\\\\)
subtract 16 from both sides
\(9x+16>79\\\\9x>79-16\\\\9x>63\)
divide both sides by 9 we have
\(x>\frac{63}{9}\\\\ x>7\)
the greatest value of x that is not a solution is 7 since x is not equal to 7
6a−3b=5b solve for a:b ratio please help me if I don't get this my mom won't let me go to my best friends house for a sleepover
Answer:
6a -3b = 5b
6a = 8b
the a:b ratio = 6:8 which equals 3:4
Step-by-step explanation:
Answer:
3:4
Step-by-step explanation:
6a-3b=5b
Add 3b to both sides
6a=8b
Divide both sides by 2
Left with 3a=4b
\(\frac{3a}{a}\):\(\frac{4b}{b}\)
Cancel out the a on the left side and cancel out the b on the right side.
3:b
A family consisting of three persons—a, b, and c—goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. during a certain week, each member of the family visits the clinic once and is assigned at random to a station. the experiment consists of recording the station number for each member. suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. what is the probability that?
The probability of any one person visiting a particular station is 1/3. Since there are three people in the family, the probability that they would all visit the same station is 1/3 x 1/3 x 1/3, which is equal to 1/27.
The probability that all three members of the family visit the same station at the medical clinic is 1/27 (1/3 x 1/3 x 1/3). This is because each person has an equal chance of being assigned to any of the three stations and since there are three people in the family, the probability that they would all visit the same station is 1/3 multiplied by itself three times, which is equal to 1/27. The experiment is recording the station number for each member and since the incoming individuals are assigned to any of the three stations randomly, the probability that all three members visit the same station is 1/27.
The complete question is :
A family consisting of three persons—a, b, and c—goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. during a certain week, each member of the family visits the clinic once and is assigned at random to a station. the experiment consists of recording the station number for each member. suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that all three members visit the same station?
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Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})
A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.
To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:
Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.
Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.
Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.
The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.
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find the jacobian of the transformation x=3u, y=2uv and sketch the region g: 3<3u<6, 2<2uv<4
It is a rectangular region with u and v values ranging from 1 to 2.
To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.
Given:
x = 3u
y = 2uv
Calculating the partial derivatives:
∂x/∂u = 3
∂x/∂v = 0 (since x does not depend on v)
∂y/∂u = 2v
∂y/∂v = 2u
Now, we can construct the Jacobian matrix J:
J = [∂x/∂u ∂x/∂v]
[∂y/∂u ∂y/∂v]
Substituting the partial derivatives we calculated earlier:
J = [3 0]
[2v 2u]
Therefore, the Jacobian of the transformation is:
J = [3 0]
[2v 2u]
To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.
From the inequality 3 < 3u < 6, we have:
1 < u < 2
From the inequality 2 < 2uv < 4, we can divide both sides by 2:
1 < uv < 2
Since u and v must both be greater than 1, we can determine the range of v:
1 < v < 2
Now, we can sketch the region in the u-v plane bounded by the conditions:
1 < u < 2
1 < v < 2
It is a rectangular region with u and v values ranging from 1 to 2.
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how does this function compare to the logistic mean response function in part (a) of problem 14.4? b. for what value of x is the mean response equal to .5?
This function compare to the logistic mean response function in part is as following:
The equation is, E{Yi} = πi = Fl = (β0 + β1xi)
E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
A) plot the logistic mean response function. When βo = 20 and β1 = -0.2
Let,
E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
where,
βo = 20
β1 = -0.2
E{Yi} = 1/2
Xi = 100
B) = For what value of X is the mean response equal to 0.5
Mean response = 1/2
= E{Yi} = Exp(βo + β1Xi) / 1 + Exp(βo + β1Xi)
= 1/2
= Exp(βo + β1Xi)
Xi = -βo/β1
c) The odds when x = 125, when x = 126 and the ratio of the odds, when x = 126 to odds when x = 125
Odd = \(e^{\beta o + \beta 1 Xi}\)
Odd(125) = \(e^{\beta o + \beta 1 125}\)
odd(126) = \(e^{\beta o + \beta 1 +126}\)
Rate of odd = Odd126/odd125
Rate of Odd = \(e^{\beta 1}\)
One of the most popular techniques in data mining in general and binary data categorization in particular continues to be logistic regression (LR). The primary goal of this study is to provide an overview of the key LR features when applied to data analysis, specifically from an algorithmic and machine learning standpoint.
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Complete question:
a. Plot the logistic mean response function (14.16) when = 20 and β,--.2
b. For what value of X is the mean response equal to.5:?
c. Find the odds when X 125, when X-126, and the ratio of the odds when X-126 to the odds when X-125. Is the odds ratio equal to exp(B,) as it should be?
Which list puts the following things in correct order from smallest to largest?
A.
Earth solar system galaxy universe
B.
solar system galaxy universe Earth
C.
Earth galaxy solar system universe
D.
solar system Earth universe galaxy
The correct order from smallest to largest here is A. Earth solar system galaxy universe.
What do we know about the solar system?The Sun and the things that circle it make up the gravitationally bound solar system. It was created 4.6 billion years ago when a massive interstellar molecular cloud collapsed because of gravity.
The Sun is home to the great majority (99.86%) of the system's mass, with Jupiter holding the lion's share of the remaining mass. The four planets of the inner solar system Mercury, Venus, Earth, and Mars are terrestrial planets because they are predominantly made of rock and metal. The four giant planets of the outer solar system are significantly more massive and bigger than the terrestrial planets.
Here, Earth, the solar system, and the cosmos should be listed from smallest to largest.
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The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
if Sophia took a bath at 9:36 and finish at 10:30 how much time did she use in taking a bath
Answer:
54 minutes
Step-by-step explanation:
1) There are 60 minutes in an hour. So, you can do 60-36 to find the first value. (24)
2) Add 24 minutes to 30 and get 54 minutes.
Please help fast this has to be done by today can you also leave how you solved the problem thank you I will give points.
Answer:
B
Step-by-step explanation:
First find the perdendicular slope (flip and change sign) : m= -\(\frac{1}{4}\)Then set up your equation using the given ordered paired to find your y-intersept: -1 = -\(\frac{1}{4}\) (5) + bCaluclate the product: -1 = -\(\frac{5}{4}\) + bMove the variable to the left-hand side and change its sign : -b - 1 = -\(\frac{5}{4}\)Calculate the sum: -b = - \(\frac{1}{4}\)Change the sign : b= \(\frac{1}{4}\)Use the slope and y-intersept to creat the equation: y = -\(\frac{1}{4}\)x + \(\frac{1}{4}\)the price of a ball should not be more than $2. which inequality can be used to represent this problem?
In summary, the inequality x ≤ 2 represents the problem "the price of a ball should not be more than $2" and means that the value of x (the price of the ball) must be less than or equal to 2.
An inequality is a mathematical expression that compares two values and indicates whether they are equal or not, or whether one is greater than or less than the other. In this case, we want to represent the problem "the price of a ball should not be more than $2" using an inequality.
Let x be the price of the ball. The expression "the price of a ball should not be more than $2" means that the price of the ball, represented by x, must be less than or equal to $2. We can write this inequality as:
x ≤ 2
The symbol "≤" means "less than or equal to," and it indicates that the value of x should be less than or equal to 2. For example, if the price of the ball is $1.50, then x is less than 2, and the inequality x ≤ 2 is true. However, if the price of the ball is $3, then x is greater than 2, and the inequality x ≤ 2 is false.
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What is the reciprocal of the divisor 3/ 2 ÷ 5 /6?
Answer:
1 and 4/5
Step-by-step explanation:
!Keep, flip, change. (KFC rule)!
Equation: 3/2 divided by 5/6
1st: Flip the 5/6 to become 6/5
2nd: Change division to multiplication
New equation: 3/2∙6/5
Answer: 1 and 4/5
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 12, 36,
Answer:
geometric (so it's a 1:3 ratio I believe)
Step-by-step explanation:
you're multiplying by 3 each time
Ana has 8 stamps. Together, Ricky and ana have 23 stamps. The equation 23 = r + 8 represents this situation,where r is the number of stamps Ricky has. Solve the equation to find the number of stamps ricky has
Ricky has the number of stamps in the number of 15 stamps.
According to the question, the given parameters can be used to form the expression by using simplification method and the parameters are as follows:
Stamps for Ana: 8
Stamps for Ricky and Ana: 23
Given equation: 23 = r + 8
The equation formed by the simplification method is: r + a = 23
Solving above two equations, we get a = 8 stamps and r = 15 stamps.
Hence, Ricky has the number of stamps in the number of 15 stamps.
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
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What does line segment AB represent?
Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.
Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.
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1. Solve for X Y Z when (hint: use row operation not matrices. Also, you may get negative
values and decimal points for the unknowns, it is fine.)
2 + 4 + 2 = 144
+ 0.5 + 0.25 = 60
1.5 + 0.5 + = 36
The solution to the system of equations is:
X = -171, Y = -531, and Z = 363.
To solve the system of equations:
2X + 4Y + 2Z = 144 (Equation 1)
0.5X + 0.25Y = 60 (Equation 2)
1.5X + 0.5Y + Z = 36 (Equation 3)
We can use row operations to simplify and solve the system.
Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:
2X + Y = 240 (Equation 4)
Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:
-4X - 2Y = -480 (Equation 5)
2X + 4Y + 2Z = 144 (Equation 1)
2Y + 2Z = -336 (Equation 6)
Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:
-3Y - 3Z = 1008 (Equation 7)
1.5X + 0.5Y + Z = 36 (Equation 3)
1.5X - 2.5Z = -972 (Equation 8)
We now have a simplified system of equations:
2Y + 2Z = -336 (Equation 6)
1.5X - 2.5Z = -972 (Equation 8)
-3Y - 3Z = 1008 (Equation 7)
Now, we can solve this system by using additional row operations.
Multiply Equation 6 by 1.5 and add it to Equation 8:
-4Z = -1452
Solving for Z, we get Z = 363.
Substituting the value of Z back into Equation 6, we can solve for Y:
2Y + 2(363) = -336
2Y = -1062
Y = -531.
Finally, substituting the values of Y and Z into Equation 7, we can solve for X:
-3(-531) - 3(363) = 1008
X = -171.
Therefore, the solution to the system of equations is:
X = -171, Y = -531, and Z = 363.
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Mary had a chance to select a number from 1 to 20 randomly. What is the probability that the number is divisible by 3?
The answer is 9 because it is divisible by 3
Step-by-step explanation:
9/3=3
Answer:
6/20 = 3/10
Step-by-step explanation:
There are 6 numbers divisible by 3 between 1-20
Being: 3 6 9 12 15 18
With that information, we know that there are 6 numbers out of 20 that are possible to meet the criteria, hence, the chances of Mary getting a number divisible by 3 is 6/20, or 3/10 simplified.
I WILL GIVE BRAINLIEST TO TE CORRECT ANSWER
Two situations are given in the table below.
Drag the words to show which situation is modeled by an expression and which is
modeled by an equation.
Answer:
Matthew drank 4 more glasses of water than Nicole: equation
Four more glasses of water than Nicole: expression
Step-by-step explanation:
We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:
\(m=n+4\)
However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.
supersciencestudy is correct, an equation must include an equality.
The price of a pair of shoes increases from $61 to $76. What is the percent increase to the nearest percent?
Answer:
25%
Step-by-step explanation:
Answer:Either 24% or 25%
Step-by-step explanation: 61x.24= 14.64 and 61x.25= 15.25
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is \(\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }\). Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
\(\rm a_n = a\ r^{n-1}\)
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
\(\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }\)
The explicit rule that describes the sequence is \(\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }\). Then the correct option is C.
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A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyramid is 88.2 in. What is the height of the pyramid?
Answer:
The height is 87.5 inStep-by-step explanation:
We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle
the slant height is equivalent to the hypotenuse
the height is equivalent to the opposite
while the base(half) is the adjacent
Given
the base of the pyramid= \(22.2 in\)
the adjacent is = \(\frac{22.2}{2} = 11.1 in\)
the slant height (hypotenuse)= \(88.2 in\)
we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').
\(c^2=a^2 + b^2\)
\(hyp^2=opp^2+adj^2\)
substituting we have
\(88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in\)
what is the difference between points F (2,9) and G (4,14) round to the nearest whole number.
Answer:
3,15
Step-by-step explanation:
took the test boi
What is the value of the expression 22 + 62 ÷ 22? (1 point)
10
13
16
36
Answer:
none of these
Step-by-step explanation:
none of these is the correct answer because if this is pemdas it would be 24.818
and if it is not pemdas it would still be 3.818.
The way pemdas would be solved is 62 divided by 22 first which is 2.818
and then 2.818 + 22 which= 24.818.
But if your just doing it in order and it isn't pemdas than you would do 22 + 62 which=84 and then 84 divided by 22=3.818
So your answers are wrong I wanted to let you know that is there an option od none of theres or is there more to the question I can help you with.
I hope I can help and that this helps have a awesome day:)
formula used to measure area is
Answer:
The formula for measuring the area differs according to shape.
The formula for area of square = a*a
The formula for area of rectangle = l*b
The formula for area of triangle = 1/2*base*height
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Answer:
Step-by-step explanation:
It depends on the shape
For rectangle it is length x breadth
For triangle it is 1/2 x base x height
For square it is L^2
For circle it is pi x r^2
Etc
Standard Unit Vectors The vector with magnitude 1 in the x-direction is called "1", and the vector with magnitude 1 In the y-direction is called "- In other words, i = (1,0) and ] = (0,1). Practice Simplify -107 +(-3)i + (-5)] +(-8) i and write your answer in: a. Tj-form: b. component-form: Simplify 5) + (-10) 7 +(-8)+ 27 and write your answer in; a ij-form: b. component-form: Simplify - 8) +91 + 107 +(-8)7 and write your answer in: a Tj-form: b. component-form: Simplify -37 +(-4)7 +4+ 61 and write your answer in: a ij-form: b. component-
The given expression, -37 +(-4)7 +4+ 61 can be written in component-form as (-4, 4) and in the ij-form as -4i + 4j.Hence, the final answers are:a. (-118)i - 5jb. (-118, -5)a. 75i + 51jb. (75, 51)a. -4i + 4jb. (-4, 4)
The vector with magnitude 1 in the x-direction is called "1" and the vector with magnitude 1 in the y-direction is called "- In other words, i
= (1,0) and ] = (0,1).
To simplify the given expression, we need to perform the addition of the given terms.-
107 +(-3)i + (-5)] +(-8) i
==> -107 + (-3) (1, 0) + (-5) (0, 1) + (-8) (1, 0)
==> -107 + (-3, 0) + (0, -5) + (-8, 0)
==> (-107 - 3 - 8, -5 + 0)
==> (-118, -5)
The given expression, -107 +(-3)i + (-5)] +(-8) i can be written in component-form as (-118, -5) and in the Tj-form as (-118)i - 5j.- 8) +91 + 107 +(-8)7
==> (-8, 0) + (91, 0) + (0, 107) + (-8, -56)
==> (91 - 8 - 8, 107 - 56 + 0)
==> (75, 51)
The given expression, - 8) +91 + 107 +(-8)7 can be written in component-form as (75, 51) and in the ij-form as 75i + 51j.-37 +(-4)7 +4+ 61==> (-37, 0) + (-28, 0) + (0, 4) + (61, 0)==> (-37 - 28 + 61, 0 + 4)==> (-4, 4).
The given expression, -37 +(-4)7 +4+ 61 can be written in component-form as (-4, 4) and in the ij-form as -4i + 4j.Hence, the final answers are:a. (-118)i - 5jb. (-118, -5)a. 75i + 51jb. (75, 51)a. -4i + 4jb. (-4, 4).
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