Answer:
1. LHJ
2. AB
3. Acute
4. Complement 30, supplement 120
5. AOD
6. 61
7. acute
8. 36
9. Octogon
Step-by-step explanation:
What integer is closet to n
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
The 4th and 7th terms of a geometric sequence are T₁ = 27 and T = 1 respectively Determine the first term a and the common ratio r of the sequence. a= T T=
The first term a is 27 and the common ratio r is 1/3.
To solve this problem, we can use the formula for the nth term of a geometric sequence:
Tₙ = ar^(n-1)
We are given the values of T₁ and T₇, which we can substitute into this formula to get two equations:
T₁ = ar^(1-1) = a
T₇ = ar^(7-1) = 1
Simplifying the second equation, we get:
ar^6 = 1
Dividing both sides by a, we get:
r^6 = 1/a
Taking the sixth root of both sides, we get:
r = (1/a)^(1/6)
Substituting this expression for r into the first equation, we get:
T₁ = a = 27
So the first term of the sequence is 27. Substituting this value for a into the expression we found for r, we get:
r = (1/27)^(1/6) = 1/3
So the common ratio of the sequence is 1/3. Therefore, the first term a is 27 and the common ratio r is 1/3.
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A student was asked to simplify the expression 2(x+3)+(4x−8)−7x .
Answer:
-x -2
Step-by-step explanation:
1- Apply the Distributive Property
2- Calculate the product or quotient
3- Determine the sign
4- Reorder and gather like terms
Collect coefficients of like terms
Calculate the sum or difference
The following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 what is the median?
The median of all these numbers in dollars is 7.5.
How to obtain median when no. of given data are odd ?When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.
According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.
First we observe that no. of people is even so there will be two middle nos.
Now lets arrange these nos. in an order from least to greatest which is
1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.
So, to find the median of all these nos. we will divide these two middle nos. by 2.
∴ ( 7 + 8 )/2
= 15/2
= 7.5.
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g (b) show that among a group of 621 people, there are at least 21 who are born on the same day of the month (e.g., the 21st or the 12th, etc.). is the same fact true if there are only 620 people?
There would be 20 more of us (620-600). There would have been a day when more than 20 people would have been born.
A counting-based argument is known as a combinatorial argument or combinatorial proof. This line of reasoning has already been used, for instance in the section on Stirling numbers of the second sort.
It is mentioned that 620 persons shared the same month of birth. Assume that there were 30 days in the month to avoid losing generality. We'll demonstrate that through contradiction, assuming there were no more than 20 births on any one day throughout that month.
(Beyond that, we have the outcome.)
Now within Thirty Days, 30 * 20 births made up the total. However, since the population was 621 strong, another 21 persons had to be born on a day within that month. Note that the pigeon-hole principle was used in this instance. As a result, someday x, more than twenty people will be born. Consequently, there are at least 21 people who share a birthday.
The outcome would be the same whether there were 620 people. The discussion we had led to this. Keep in mind that in this scenario, we would have 20 more people (620-600). Therefore, a day when more than 20 people were born would have come.
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The sum of two numbers is 10. The larger number is 4
times the smaller number. What are the two numbers?
Original system: x + y = 10,
y = 4x
Slope-intercept form:
y = -x + 10
y = 4x
Answer:
x=8 and y=2
Step-by-step explanation:
x+y=10
x=4y
x+y=10
4y+y=10
5y=10(divide both sides by 5)
y=2
x=4y=4*2=8
Answer:
2 and 8.
Step-by-step explanation:
y = -x + 10
y = 4x
If we subtract we eliminate y:
0 = -x + 10 - 4x
0 = -5x + 10
5x = 10
x = 2.
and y = 4 * 2 = 8.
Which point is located at (–1, 3)? On a coordinate plane, point A is 1 unit to the right and 3 units down. Point B is 3 units to the left and 1 unit up. Point C is 1 unit to the left and 3 units up. Point D is 3 units to the right and 1 unit down. A B C D
Answer:
Point C.
Step-by-step explanation:
When the x-value is negative, the point is moving left. In this case, the point is moving left 1.
When the y-value is positive, the point is moving up. In this case, the point is moving up 3.
Only Point C fits the description.
Answer:
point c
Step-by-step explanation:
hope i helped c:
You chose a tile at random from a bag containing 4 A’s, 3 B’s, and 4 C’s. You replace the first tile in the bag and then chose again. Find P(B and B)
The probability of P ( B and B ) is given by the equation A = 9/121
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of P ( B and B ) be represented as A
Now , the equation will be
The number of A's in the bag = 4 A's
The number of B's in the bag = 3 B's
The number of C's in the bag = 4 C's
So , the total number of tiles in the bag = 4 A's + 3 B's + 4 C's
Total number of tiles in the bag = 11 tiles
Now , the probability of choosing a B from the bag = number of B's in the bag / Total number of tiles in the bag
Substituting the values in the equation , we get
Probability of choosing a B from the bag P ( B ) = 3/11
Now , the tile is replaced
And , the The probability of P ( B and B ) = P ( B ) x P ( B )
Substituting the values in the equation , we get
P ( B and B ) = P ( B ) x P ( B )
A = ( 3/11 ) x ( 3/11 )
A = ( 9 / 121 )
Therefore , the value of A is 9/121
Hence , the probability P ( B and B ) is 9/121
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Michael buy a baket of mangoe on ale for \$ 4$4 before tax.
The ale tax i 12%.
What i the total price Michael pay for the baket of mangoe?
Total price paid by Michael for the basket of mangoes is $4.48.
For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -
Total price = 4 + 12%×4
Calculating the percentage of sales tax on Right Hand Side of the equation
Total price = 4 + 12×4/100
Solving the percentage part on Right Hand Side of the equation
Total price = 4 + 0.48
Performing addition on Right Hand Side of the equation
Total price = $4.48
Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.
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Now you can place a division block at your point and divide it into four equal-sized pieces. Then you will know where x is on the number line 0Use the number line to help solve the equation. )4x= 134x+2+3 40 12567891011121314
The equation to solve is
\(4x=13\)We need to isolate x.
That means dividing 13 by 4.
So,
\(\frac{13}{4}=3\frac{1}{4}\)This is the value of x, 3 and 1/4th.
In the number line, it is just past "3".
Answer is
\(3\frac{1}{4}\)If n = 8 and 16 • 2m = 4n – 8, then m = ?
Answer:
m = 0.75
Step-by-step explanation:
16 x 2m = 4x8 - 8
32m = 24
m = 24/32
W= 2.8
6 = 7
Help needed
Answer:
D.
Step-by-step explanation:
Answer:
w = 2.4
Step-by-step explanation:
Point A is located at (-3, 2) and point B is located at (1, 8). What is the x coordinate of the midpoint?
Answer: Midpoint (xM, yM) = (4, 5)
The positivist research paradigm and design:____.
A. assume that reality is subjective.
B. generate numerical or statistical data.
C. employ qualitative research (e.g., interviews).
D. take a context-sensitive approach.
The positivist research paradigm and design generate numerical or statistical data. (option b).
The positivist research paradigm and design emphasize the use of objective and measurable data. Positivism is based on the belief that there is an objective reality that can be studied and understood through scientific methods. This approach seeks to generate numerical or statistical data to test hypotheses, establish causal relationships, and make generalizations about the population under study.
Positivist researchers aim to collect empirical evidence through controlled experiments, surveys, or observations, and analyze the data using statistical analysis to draw conclusions. This approach contrasts with subjective or qualitative research methods that focus on understanding meaning, subjective experiences, and contextual interpretations. The correct option is b.
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Help please due asappp
Suppose that the functions f and g are defined as follows
x and x⁴-16x²+56 are the resulting composite functions respectively.
Solving composite functionsGiven the following functions below
f(x) = 7/x
g(x) = x² - 8
We need to determine the composite functions (fof)(x) and (gog)(x)
(fof)(x) = f(f(x))
f(f(x)) = f(7/x)
Replace x with 7/x
f(7/x) = 7/(7/x)
f(7/x) = 7 * x/7
f(7/x) = x
Similarly:
(gog)(x) = g(g(x))
g(g(x)) = (x² - 8)² - 8
g(g(x)) = x⁴-16x²+64 - 8
g(g(x)) = = x⁴-16x²+56
Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56
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What helps find the volume of the figure? 6 × 6 × 7 8 × 6 × 6 6 × 7 × 8 6 × 6 × 7 × 8
The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape. It is also called a cuboid.
It is given that:
The volume of the rectangular prism is given by:
V = L×W×H
Here, V is the volume of the rectangular prism
L is the length of the rectangular prism
W is the width of the rectangular prism
H is the height of the rectangular prism
From the figure:
L = 6 cm
W = 7 cm
H = 6 cm
V = 6x7x6
or
V = 6x6x7
Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.
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Perform the indicated operation and simplify the result. x/5+x/6
Hello loll6591!
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Perform the indicated operation and simplify the result. x/5+x/6
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \frac{x}{5} + \frac{x}{6} \\ \)
First, find the LCM of 5 & 6, which is 30.
\( \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} \)
Now add 6x/30 with 5x/30.
\( \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}\)
__________________
Hope it'll help you!
ℓucαzz ッ
what is the range of the possible values of r2? 0 to 1 any positive numerical value -1 to 1 0 to 100
The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).
The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.
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‼️WILL MARK BRAINLIEST‼️
A line graph would be an appropriate data display to show the average height of all the plants during the month and how the heights vary.
What is line graph?A line graph is a visual representation that displays the relationship between two variables, in this case, the weekly heights of the sunflowers and the time in weeks. The x-axis would represent the weeks, and the y-axis would represent the height in inches. The line graph would show the trend in the data over time, and it would be easy to see how the heights of the sunflowers change over the weeks. Additionally, it would be possible to calculate the average height of all the plants during the month by adding up the heights of all the plants at each time point and dividing by the total number of plants. This average could then be represented on the graph as a horizontal line, showing how it compares to the actual heights of the sunflowers. Furthermore, the line graph could also be used to show the variability in the data by plotting error bars around the average line or displaying individual data points as dots or small lines. This would allow viewers to see how much the heights vary between plants and how consistent the growth is over time.
Here,
In summary, a line graph would be an appropriate data display to show the average height of all the plants during the month and how the heights vary. It would allow viewers to easily see the trends in the data over time, and how much the heights vary between plants, making it a useful tool for visualizing the growth of sunflowers.
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To what unit rate does 91/12 simplify?
Answer:
n a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
You can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number. Six twelfths can be simplified to one half, or 1 over 2 because both numbers are divisible by 6. 6 goes into 6 once and 6 goes into 12 twice.
THERE U go U SHOULD KNOW HOW TO DO IT NOW YW
Step-by-step explanation:
Damian is going to invest in an account paying an interest rate of 5.2% compounded
daily. How much would Damian need to invest, to the nearest ten dollars, for the
value of the account to reach $1,750 in 19 years?
Answer:
650
Step-by-step explanation:
651.606881968=P
round: 650
Answer:
650
Step-by-step explanation:
2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how many times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation.
The large rectangle is 8/3 times bigger than the small rectangle.
How to explain the area?Area of large rectangle will be:
= 4x(2x - 2)
= 8x² - 8x
Area of small rectangle will be:
= (3x - 3)x
= 3x² - 3x
The ratio will be:
= 8x² - 8x/3x² - 3x
= 8(x² - x)/3(x² - x)
= 8/3
The large rectangle is 8/3 times bigger than the small rectangle.
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-7+5x=5x+9 can you help me solve this
Answer:
There is no solution to this equation.
Step-by-step explanation:
Two-Step EquationsTwo-step equations are equations that require two steps to solve. Essentially, we would move the variable terms to one side. Then, we would perform a mathematical operation to move the constant to the other side. This would render an answer in the form of a variable equivalent to a numerical value.
SolveTo solve the equation, we want to isolate the variable, which in this case is x. We start with our initial equation:
\(-7 + 5x = 5x + 9\)
We can simplify by subtracting 5x from both sides of the equation:
\(-7 + 5x - 5x = 5x - 5x + 9\\\\-7 = 9\)
-7 cannot equal 9. Since this is the solution we have calculated, it is impossible for this equation to have a correct solution. The equation has no solution.
Final AnswerTherefore, there is no solution to the equation.
Answer:
No solutions
Step-by-step explanation:
Pre-SolvingWe are given the following equation:
-7 + 5x = 5x + 9
We want to solve it.
To solve, we need to isolate the variable (in this case, x) onto one side.
SolvingTo start, we can add 7 to both sides to move -7 from the left side.
-7 + 5x = 5x + 9
+7 +7
_____________
5x = 5x + 16
Now, we can subtract 5x from both sides to get 5x off the right side.
5x = 5x + 16
-5x -5x
____________
0 = 16
As you can see, we have cleared out our variable completely, and we are left with 0 = 16, which is untrue.
This means that there are no values of x that will make the equation true, because no matter what the value of x will be, it will always simplify to become the untrue statement, 0 = 16.
Therefore, the equation has no solutions.
can someone please help me asap, thank youu!!!
Answer:
2 or (3-^7)²
Step-by-step explanation:
Hope it helped u
Step-by-step explanation:
(a + b) (a - b) = a² - b² (identity)
3² - (√7)²
9 - 7
2 ans.
hope this helps you !
A hot air balloon starts at an elevation of 300 feet. Then, it ascends at a rate of 600 feet per minute. what is the slope of the line?
Answer:
m = 600 feet/minute
Step-by-step explanation:
In this scenario, the elevation of the hot air balloon can be represented as a linear function of time. Let's use t to denote time in minutes and h(t) to denote the elevation of the balloon in feet at time t.
We know that the balloon starts at an elevation of 300 feet, so we can write the equation of the line as:
h(t) = 600t + 300
The slope of the line represents the rate of change of the elevation with respect to time, which is the same as the rate at which the balloon is ascending. Therefore, the slope of the line is equal to the ascent rate of the balloon, which is 600 feet per minute.
So the slope of the line is:
m = 600 feet/minute
As of 2016, Tunisia holds the world record for the largest version of a national flag. It was almost as long as four soccer fields. The flag has a circle in the center, a crescent moon inside the circle, and a star inside the crecen moon Complete each scale with the value that makes it equivalent to the scale of 1 to 2,000
Answer:
See attachment 2
Step-by-step explanation:
See attachment 1 for complete question
\(Scale= 1 : 2000\)
Required
Fill in the table
The scale implies that:
To fill in the gaps of actual measurements, we simply multiply the scale measurement by 2000
To fill in the gaps of scalar measurements, we simply divide the actual measurement by 2000
For the flag height, we have:
\(Scale\ Measurement = 13.2\ cm\)
Using the analysis above:
\(Actual = 2000 * 13.2\ cm\)
\(Actual = 26400\ cm\)
Convert to meters
\(Actual = 26400m/100\)
\(Actual = 264m\)
For the flag length, we have:
\(Actual\ Measurement = 396\ m\)
Using the analysis above:
\(Scale\ Measurement = 396\ m /2000\)
\(Scale\ Measurement = 0.198\ m\)
Convert to centimeters
\(Scale\ Measurement = 0.198\ cm * 100\)
\(Scale\ Measurement = 19.8\ cm\)
For the height of crescent moon, we have:
\(Actual\ Measurement = 99\ m\)
Using the analysis above:
\(Scale\ Measurement = 99\ m /2000\)
\(Scale\ Measurement = 0.0495\ m\)
Convert to centimeters
\(Scale\ Measurement = 0.0495\ cm * 100\)
\(Scale\ Measurement = 4.95\ cm\)
See attachment 2 for completed table
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0.
The equation of the plane passing P (1,2,1) and orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is -3x-2y-z+8=0.
Equation of plane passing through (x1,y1,z1) is given by
A(x-x1)+B(y-y1)+C(z-z1)=0
where, A, B, and C are direction ratios
In the question, it is given that the plane passes through (1,2,1)
So, the equation of the plane will be in the form,
A(x-1)+B(y-2)+C(z-1)=0
It is also given that the plane is perpendicular to give 2 planes.
So, their normal to the plane would be perpendicular to the normal of both planes.
So, the required normal is a cross-product of the normals of planes
x-y-z-10=0 and x-2y+z-2=0
i.e,
-3i-2j-k=0
so, the direction ratios,
A=-3, B=-2, C=-1
putting the direction ratios in the previous equation of the plane,
-3(x-1)-2(y-2)-1(z-1)=0
-3x+3-2y+4-z+1=0
-3x-2y-z+8=0
is the required equation of the plane
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2. The tensions T₁, T2 and 7 in a simple framework are given by the equations 5T₁ +3T2 +5T3=70 T₁ +2T₂ +4T3 = 24 4T1 +2T2= 40 Use Guases elimination ONLY to find T₁, T2. T 3.
The value of tensions are:
T₁ = 231/74
T₂ = -329/66
T₃ = 8/33
We can use Gaussian elimination to solve the system of equations:
5T₁ + 3T₂ + 5T₃ = 70
T₁ + 2T₂ + 4T₃ = 24
4T₁ + 2T₂ = 40
First, we'll use the third equation to eliminate T₂ from the first two equations:
4T₁ + 2T₂ = 40 (equation 3)
T₁ + 2T₂ + 4T₃ = 24 (equation 2)
Multiplying the third equation by 2 and subtracting it from the second equation:
T₁ + 2T₂ + 4T₃ = 24 (equation 2)
- 8T₁ - 4T₂ = -80 (2 × equation 3)
------------------------
-7T₁ + 4T₃ = -56
Now we have two equations:
5T₁ + 3T₂ + 5T₃ = 70 (equation 1)
-7T₁ + 4T₃ = -56 (from previous step)
Multiplying the first equation by 7/5 and adding it to the second equation:
5T₁ + 3T₂ + 5T₃ = 70 (equation 1)
-7T₁ + 4T₃ = -56 (from previous step)
------------------------
T₁ + 7T₃ = 14
Now we can use the third equation to eliminate T₂ from the first equation:
4T₁ + 2T₂ = 40 (equation 3)
5T₁ + 3T₂ + 5T₃ = 70 (equation 1)
Multiplying the third equation by 3/2 and subtracting it from the first equation:
4T₁ + 2T₂ = 40 (equation 3)
-11T₁ - T₃ = -35 (3 × equation 3 - 5 × equation 1)
Now we have two equations:
T₁ + 7T₃ = 14 (from previous step)
-11T₁ - T₃ = -35 (from this step)
Multiplying the second equation by -7 and adding it to the first equation:
T₁ + 7T₃ = 14 (from previous step)
74T₁ = 231
Therefore, T₁ = 231/74.
Substituting this value back into the equation T₁ + 7T₃ = 14, we get:
(231/74) + 7T₃ = 14
7T₃ = (74/231) × 20
T₃ = 8/33
Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:
-11(231/74) - (8/33) = -329/66
Therefore, T₂ = -329/66.
So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33
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A equivalent ratio of 3:7 is?
3:9
6:10
9:12
Answer:
it is none of these options
Step-by-step explanation:
after multiplying it by 1,2 or 3 none of the option comes up
..