Answer:
answer is here!!
Step-by-step explanation:
To find the next digit in the quotient using the standard algorithm, you follow these steps:
First, divide the largest possible multiple of the divisor (13) into the dividend (543) without exceeding it. In this case, 13 goes into 54 four times (4 × 13 = 52).
Subtract the product obtained in step 1 (52) from the dividend (543), resulting in a remainder of 543 - 52 = 491.
Bring down the next digit of the dividend (3) next to the remainder (491), creating the new number 4913.
Repeat step 1 by dividing the largest possible multiple of the divisor (13) into the new number (4913) without exceeding it. The largest multiple of 13 that fits into 491 is 37 (37 × 13 = 481).
Subtract the product obtained in step 4 (481) from the new number (4913), resulting in a remainder of 4913 - 481 = 4432.
At this point, you have obtained the next digit in the quotient. It is the result of dividing the new number (4432) by the divisor (13).
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The correct answer is (D) 6 x 6 x 6 x 6, which represents the number of possible outcomes when rolling the die 4 times.
The Fundamental Counting Principle states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things.
In this case, a die is rolled 4 times. Each time the die is rolled, there are 6 possible outcomes (numbers 1 to 6). Therefore, using the Fundamental Counting Principle, the number of possible outcomes for rolling the die 4 times can be calculated as:
6 * 6 * 6 * 6
Simplifying the expression, we get: 6^4
Note: Option (A) 4 x 3 x 2 x 1 represents the number of permutations of 4 distinct items, and option (B) 6 x 5 x 4 x 3 represents the number of permutations of choosing 4 items from 6 distinct items. Option (C) 6 x 4 does not account for rolling the die multiple times.
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A
B
X =
4x
2x
D
C
Use the rectangle shown above to solve for x.
A
Answer: x = 15
Step-by-step explanation:
4x + 2x = 90 (the square in the corner indicates a 90deg angle)
6x = 90
x/6 = 90/6
x = 15
Suvey of 300 people about transportation. Bus:Train ratio is 3:2, Bus:Cab ratio is 9:5. How many prefer the cab
Approximately 107 people prefer taking a cab based on the given ratios.
To determine the number of people who prefer taking a cab based on the given ratios, we need to find the common ratio between the number of people who prefer buses and cabs.
The ratio of Bus to Train is given as 3:2, which means out of every 5 people, 3 prefer the bus and 2 prefer the train.Similarly, the ratio of Bus to Cab is given as 9:5, which means out of every 14 people, 9 prefer the bus and 5 prefer the cab.
Since the ratios of Bus to Train and Bus to Cab need to be consistent, we can find the common ratio by determining the least common multiple of the denominators, which is 14.
So, for every 14 people, 9 prefer the bus and 5 prefer the cab.To find the number of people who prefer the cab, we need to calculate 5/14 of the total surveyed population:
(5/14) * 300 = 107.14 (approximately)
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Need help immediately will give more points
Answer:
49°
Step-by-step explanation:
since line PT is a tangent to the circle
angle OPT is 90°
and PTO is 41°
sum of angles in a triangle is 180°
angle PTO + angle OPT+ angle TOP=180°
41°+90°+ TOP=180°
angle TOP=180°-41°-90°
angle TOP=49°
Help with this look at the picture
One month Ashley rented 2 movies and 6 video games for a total of $38. The next month she rented 5 movies and 3 video games for a total of $32. Find the rental cost for each movie and each video game.
The rental cost for each movie (m) is approximately $3.25, and the rental Cost for each video game (v) is approximately $5.25.
The rental cost for each movie and each video game, let's assign variables to represent the rental cost per movie and per video game. Let's use "m" for the rental cost of a movie and "v" for the rental cost of a video game.
From the given information, we have two equations:
Equation 1: 2m + 6v = 38
Equation 2: 5m + 3v = 32
We now have a system of equations that we can solve to find the values of m and v.
We can start by multiplying Equation 1 by 5 and Equation 2 by 2 to eliminate the m variable:
10m + 30v = 190 ... Equation 3
10m + 6v = 64 ... Equation 4
Now, subtracting Equation 4 from Equation 3, we can eliminate the m variable:
(10m + 30v) - (10m + 6v) = 190 - 64
24v = 126
v = 126/24
v ≈ 5.25
Substituting the value of v into Equation 1, we can solve for m:
2m + 6(5.25) = 38
2m + 31.5 = 38
2m = 38 - 31.5
2m = 6.5
m = 6.5/2
m ≈ 3.25
Therefore, the rental cost for each movie (m) is approximately $3.25, and the rental cost for each video game (v) is approximately $5.25.
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the domain (input values) of the sine function is:
The commonly used domains for the sine function are options A, B, and C, depending on the specific context and requirements of the problem.
Option A, B, C are correct.
The domain of the sine function depends on the unit used to measure angles. The sine function is defined for all real numbers, but its values repeat periodically.
In trigonometry, angles are commonly measured in radians. The sine function is periodic with a period of 2π radians. This means that the values of the sine function repeat every 2π radians. Therefore, the domain of the sine function in radians is all real numbers, or in other words, angle measures can be any real number.
However, if we consider specific ranges or intervals, we can determine the domain within those intervals where the sine function takes on unique values. For example:
Option A: Angle measures between 0 and π radians
This represents the interval from 0 to 180 degrees. In this range, the sine function takes on unique values and has a one-to-one correspondence with the input values. So, option A is a valid domain for the sine function.
Option B: Angle measures less than 90°
This represents the interval from 0 to 90 degrees. Similar to option A, the sine function takes on unique values within this interval. So, option B is also a valid domain for the sine function.
Option C: Angle measures between 0 and 2π radians
This represents the interval from 0 to 360 degrees. In this range, the sine function completes one full period and repeats its values. So, option C is a valid domain for the sine function as well.
Option D: All angle measures, including negative angles
This option suggests that the domain of the sine function includes all possible angle measures, both positive and negative. However, negative angles would lead to repeated values since the sine function is periodic. Therefore, option D is not the typical or commonly used domain for the sine function. Option A, B, C are correct.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
D. Circle
Step-by-step explanation:
The horizontal cross section of a cone is a circle. This is because the cone is a three-dimensional object that has a circular base.
A
to
X =
38°
E
you
D
C
The image above shows a rhombus. Solve for angles x and y.
N
Which technique for sampling 20 tosses of a coin would most likely introduce a sampling error?
Choosing the first 10 events for the sample
Putting all the events into two groups of heads and tails and randomly selecting 5 events from each group
Numbering all the events and using a random number generator to select 10 events
Taking every other event until 10 events are selected
The sampling that would most likely introduce a sampling error is (a) Choosing the first 10 events for the sample
Selecting the sampling that would most likely introduce a sampling error?
From the question, we have the following parameters that can be used in our computation:
The list of options
Also, we have
Tosses = 20
From the list of options, we have
(a) Choosing the first 10 events for the sample
This techique will introduce a sampling error because the selection done by the sampling is not a random selection
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what number should be added to both sides of the equation to complete the square in x2+8x=17?
Answer:
〖(x+4)〗^2=33
Step-by-step explanation:
x^2+8x=17
∴Multiplying the coefficient of "x" with "1" /"2" and adding "square\"" of the answer of multiplication on both sides
x^2+1/2 (8x)+(4)^2=17+(4)^2
〖(x+4)〗^2=17+16
〖(x+4)〗^2=33
Problem:§
Three small squares are drawn inside of a larger square without overlapping. What is the length of the line a?
The length of line a is equal to sqrt(x^2/3).
To solve this problem, we need to use some basic geometry concepts. First, we can label the sides of the larger square as x, and thus the area of the larger square is x^2. We can also label the sides of the smaller squares as y, and thus the area of each smaller square is y^2.
Since the three smaller squares do not overlap, we know that their combined area is equal to the area of the larger square. Thus, 3y^2 = x^2.
We also know that line a is equal to the side length of one of the smaller squares, which is y. Thus, we need to solve for y in the equation 3y^2 = x^2.
Taking the square root of both sides, we get y = sqrt(x^2/3).
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How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Which is a negatively skewed distribution?
The negatively skewed distribution is option A.
We have,
A negatively skewed distribution means that the distribution is skewed to the left.
In this case, the mean will be less than the median, indicating that the tail of the distribution is elongated to the left side.
Now,
We see that,
Option B is a normal distribution.
Option C is also a normal distribution.
Option D is distributed on both sides.
But,
Option A is a negatively skewed distribution.
Since the distribution is skewed to the left.
Thus,
The negatively skewed distribution is option A.
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A towns population is 50,000 in 2018. The population has been growing at a rate of 3.7% each year. What is the estimated population of 2025? Show the equation you used and the answer
Answer:
65,150
Step-by-step explanation:
Plugging in the given values, we get: P(2025) = 50,000 * (1 + 0.037)^7 P(2025) = 50,000 * 1.303 P(2025) = 65,150 Therefore, the estimated population of the town in 2025 is 65,150 (rounded to the nearest whole number)
Answer:Therefore, the estimated population of the town in 2025 is approximately 63,825.
Step-by-step explanation: To estimate the population of the town in 2025, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (population in 2025)
P = Initial amount (population in 2018)
r = Annual growth rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
Given:
P = 50,000
r = 3.7% = 0.037 (converted to decimal)
n = 1 (compounded annually)
t = 2025 - 2018 = 7 years
Substituting the values into the formula, we have:
A = 50,000(1 + 0.037/1)^(1*7)
A = 50,000(1 + 0.037)^7
A = 50,000(1.037)^7
A ≈ 50,000(1.2765)
A ≈ 63,825
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. [tex]7(3x^2-2x-8)[/tex]; -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Solve for x. Round your answer to the nearest tenth and type it in the blank
The numerical value of x in the triangle is approximately 2.67.
What is the numerical value of x?The figure in the image are two similar triangles.
Side length A of the smaller triangle = 8
Side length B of the smaller triangle = 6
Side length A of the bigger triangle = ( 8 + x )
Side length B of the biger triangle = ( 6 + 2 )
To solve for the value of x, we use ratios and proportions, since the triangles are similar.
Hence:
Side length A of the smaller triangle : Side length B of the smaller triangle = Side length A of the bigger triangle : Side length B of the biger triangle
Plug in the values:
8 : 6 = ( 8 + x ) : ( 6 + 2 )
8/6 = ( 8 + x ) / ( 6 + 2 )
Cross multiply:
6( 8 + x ) = 8( 6 + 2 )
6( 8 + x ) = 8( 8 )
6( 8 + x ) = 8( 8 )
48 + 6x = 64
6x = 64 - 48
6x = 16
x = 16/6
x = 2.67
Therefore, the value of x is approximately 2.67.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
c) Explain why dividing each side of 3x² = 6x by 3x is not a reliable way to solve the equation.
Dividing by 3x is not a reliable way to solve the equation
Dividing by 3x is not a reliable way to solve the equation because it captures only one solution of the equation, instead of the two solutions.
How to solve the equation?The equation in the context of this problem is defined as follows:
3x² = 6x.
We must bunch together all the terms with the variable x, hence:
3x² - 6x = 0
3x(x - 2) = 0.
Hence, applying the factor theorem, the solutions are given as follows:
3x = 0 -> x = 0.x - 2 = 0 -> x = 2.Dividing both sides, we have that:
3x = 6
x = 2.
Hence only one solution would be captured.
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24,31,12,38,12,15
find the mean, median, mode, and range
Answer:
Mean=22
Median=19.5
Mode=12
range=26
Step-by-step explanation:
mean - 12 +12+15+24+31+38 = 132 / 6 =22
median - 15+24 / 2 = 39/2=19.5
mode - 12
range - 38-12 = 26
Find a formula for this function.
7.2
www
2.4
2.5
17.5
y = [?] cos(2(x-[]))+ []
Enter
The formula for the given function y = 0.9cos(2π/4(x - 0.55)).
Amplitude: The given function oscillates between a maximum value of 0.9 and a minimum value of -0.9.
Period: From the graph, we can see that the function completes one full cycle between x = 0 and x = 4.
Phase Shift: The function is horizontally shifted to the right. We need to find the amount of this shift.
The distance between x = 0 and x = 2.2 is 2.2 units.
Since the period of the function is 4 units, the phase shift is 2.2/4 = 0.55 units.
Vertical Shift: The vertical shift of the function is also 0.
Frequency: From the period, the frequency of the function is 1/4.
So, the formula of function is y = 0.9cos(2π/4(x - 0.55)).
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B.) 108
Step-by-step explanation:
V=1/2 bhl
If PEPE has 2 dollars and BILLY takes away 20, how how much does PEPE have now?
Answer:
-18$
Step-by-step explanation:
Pepe will have a loan of 18$ since they don't have 20 dollars but Billy took it away
peep have 18dollars.
20-2
=18
What is the fraction of 4’-4” + 6’ -2
The fraction of the given expression which is 4’-4” + 6’ -2 is 114/1.
What is fraction?First step is to convert the measurements to a common unit.
4' = 4 x 12 = 48 inches
4" = 4 inches
6' = 6 x 12 = 72 inches
2 = 2 inches
Now let substitute the values
48 inches - 4 inches + 72 inches - 2 inches
= 114 inches
To express this as a fraction we need to find the denominator. Let's choose the common denominator of 1 inch.
So, the fraction is:
114 inches / 1 inch
= 114/1
= 114
Therefore the fraction of 4'-4" + 6' - 2 is 114/1.
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WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Find the equation of the line shown in the graph.
Answer:
x = -5
Step-by-step explanation:
You want the equation of the vertical line with x-intercept -5.
Vertical lineEvery point on a vertical line has the same x-coordinate. The y-coordinate can be anything. The equation of such a line is ...
x = c . . . . . . . for some constant c
When the line passes through points with an x-coordinate of -5, the constant (c) in the equation is -5.
The equation of the line is x = -5.
<95141404393>
How many distinct proper subsets are there of the set N = {2, 50, 62, 13, 40}?
To find the number of distinct proper subsets of a set, we need to consider that a proper subset is a subset that includes some, but not all, of the elements of the original set.
The set N = {2, 50, 62, 13, 40} contains 5 elements. For each element, we have two choices: include it in a subset or exclude it. This means that for each element, there are 2 possibilities: it can be in the subset or not in the subset.
Therefore, the total number of distinct subsets of a set with 5 elements is 2^5, which is equal to 32.
However, since we are looking for proper subsets, we need to exclude the empty set and N itself from the count. So, the total number of distinct proper subsets of the set N = {2, 50, 62, 13, 40} is 32 - 2 = 30.
Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
<95141404393>
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
A.) 5541.8
Step-by-step explanation:
Answer:
A. 5541.8 cm²
Step-by-step explanation:
The surface area of a sphere is given by the formula [tex]\boxed{\bold{SA = 4\pi r^2}}[/tex], where r is the radius of the sphere.
In this case, we know that the diameter ips 42 centimeters. This means that the radius is [tex]r = \frac{d}{2} = \frac{42}{2} = 21[/tex] centimeters.
Substituting this into the formula, we get:
[tex]SA = 4\pi (21)^2 = 1764\pi[/tex]
To the nearest tenth, this is 5541.8 square centimeters. Therefore, the surface area of the sphere is 5541.8 square centimeters.
Question 10 of 10
The circle below is centered at the point (3, 1) and has a radius of length 2.
What is its equation?
D
D. (x-3)2 + (y-1)2 = 2²
10
O A. (x+3)2 + (y + 1)² =
4
O B. (x-1)2 + (y - 3)² = 4
O C. (x + 1)² + (y+ 3)² =
2
The circle centered at the point (3, 1) and has a radius of length 2 is,
⇒ (x - 3)² + (y - 1)² = 2²
Given that,
Center ⇒ (3, 1)
Radius ⇒ 2
We know that,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center
And the standard equation of circle is,
(x - a)² + (y - b)² = r²
Where (a, b) is center of circle
R is radius of circle
So here,
(a, b) = (3, 1)
r = 2
Therefore the required equation of circle is,
⇒ (x - 3)² + (y - 1)² = 2²
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