On the following number line, what number would you plot at point C?
A
+++
6
06.038
6.408
6.82
6.983
6.1
6.2 6.3
B
++++
6.4 6.5 6.6
6.7
C
D
++++
6.9
7
6.8
Answers
The correct option is 6.82; the value of C on the number line is 6.82.
How do you defines the number line?A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.
A number line can be stretched in any direction indefinitely and is typically represented horizontally.The numbers here on number line rise as one moves left to right and fall as one moves right to left.A number line can be employed to depict both negative and positive integers.Creating numbers on the a number line facilitates number comparison. The numbers on the left of the number line have been smaller than numbers on the right.For, the given number line in the question;
As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.
Thus, the only option which shows this condition is 6.82.
Therefore, the value point C on the number line is 6.82.
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Related Questions
Please help thank you
Answers
Step-by-step explanation:
Y = 3x + 2
Putting value of y in equation 2
x + 12 = 3x + 2
12 - 2 = 3x - x
10 = 2x
10/2 = x
5 = x
Putting value of x in equation 1
Y = x + 12
Y = 5 + 12
Y = 17
Option D is the correct answer
I need some help here please
Answers
Answer:
d. raíz de 44
\( \sqrt{48 \\ } \)
That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps
Find five consecutive integers if the sum of the first three is 7 more that the sum of the last two
Answers
the consecutive integers are 11, 12, 13, 14, 15 using the given condition.
What is an integer?The group of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic processes, including addition, subtraction, multiplication, and division. It's a good idea to have a backup plan in case something goes wrong. "Z" stands for a number.
Let the consecutive integers be n, n+1, n+2,n+3,n+4.
n+n+1+n+2=7+n+3+n+4
3n+3=14+2n
n=11
therefore the integers are 11, 12, 13, 14, 15.
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Please someone work out x - 2/7 = 5
Answers
We know that:
Given equation: \(x - \frac{2}{7} = 5\)1. Add 2/7 both sides.\(x - \frac{2}{7} = 5\)=> \(x - \frac{2}{7} + \frac{2}{7} = 5 + \frac{2}{7}\)=> \(x = 5 + \frac{2}{7}\)2. Make the denominators equivalent.=> \(x = 5 + \frac{2}{7}\)=> \(x = \frac{5 \times 7}{7} + \frac{2}{7}\)=> \(x = \frac{35}{7} + \frac{2}{7}\)3. Simplify the equation and find the value of x.=> \(x = \frac{35}{7} + \frac{2}{7}\)=> \(\bold{x = \frac{37}{7} = \frac{35}{7} + \frac{2}{7} = 5 + \frac{2}{7} = 5\frac{2}{7} }\)determine whether the geometric series is convergent or divergent.
Answers
A geometric series is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio. To determine whether a geometric series is convergent or divergent, we need to examine the value of the common ratio.
1. If the absolute value of the common ratio (|r|) is less than 1, the geometric series is convergent.
- Example: Consider the series 2 + 4 + 8 + 16 + ...
The common ratio is 4/2 = 2. Since |2| is greater than 1, the series is divergent.
2. If the absolute value of the common ratio (|r|) is equal to 1, the geometric series is divergent.
- Example: Consider the series 3 - 3 + 3 - 3 + ...
The common ratio is -3/3 = -1. Since |1| is equal to 1, the series is divergent.
3. If the absolute value of the common ratio (|r|) is greater than 1, the geometric series is divergent.
- Example: Consider the series 5 + 10 + 20 + 40 + ...
The common ratio is 10/5 = 2. Since |2| is greater than 1, the series is divergent.
To summarize, a geometric series is convergent if |r| is less than 1 and divergent if |r| is equal to or greater than 1. Remember to always check the value of the common ratio to determine the convergence or divergence of a geometric series.
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You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?
Answers
Answer:
15 x 150 = 2250
2250 + 1000 = 3250
you make $3250,00
Use a parameterization to find the flux doubleintegral_S F middot n do of F = 5xy i - 2z k outward (normal away from the z-axis) through the cone z = 6 squareroot x^2 +y^2 0 lessthanorequalto z lessthanorequalto 6. The flux is (Type an exact answer, using pi as needed.)
Answers
The flux of the vector field F through the cone is zero.
To find the flux of the vector field F = 5xy i - 2z k outward through the cone z = 6 square root x^2 +y^2 with 0 ≤ z ≤ 6, we need to first parameterize the cone. Let x = r cos θ and y = r sin θ, where r ≥ 0 and 0 ≤ θ ≤ 2π, then we have z = 6r for the cone.
Now we can compute the unit normal vector n as n = (zr/6) cos θ i + (zr/6) sin θ j + (z/6) k, and then calculate the dot product F · n as F · n = 5xy (zr/6) - 2z (z/6) = (5/6)zr^2 cos θ sin θ - z^2/3.
The double integral of F · n over the cone is then given by:
doubleintegral_S F · n dS = doubleintegral_R (5/6)zr^2 cos θ sin θ - z^2/3 r dr dθ
where R is the region in the xy-plane that corresponds to the base of the cone.
Integrating with respect to r first, from 0 to 6, we get:
doubleintegral_S F · n dS = integral_0^(2π) integral_0^6 (5/18)z^3 cos θ sin θ - (1/9)z^3 r dr dθ
Evaluating the integral with respect to r and then θ, we obtain:
doubleintegral_S F · n dS = 0
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need the answers for the 2 boxes :)
Answers
Answer:
(2, 2 )
Step-by-step explanation:
Given the 2 equations
3x + 6y = 18 → (1)
- 3x + 4y = 2 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
0 + 10y = 20
10y = 20 ( divide both sides by 10 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (1)
3x + 6(2) = 18
3x + 12 = 18 ( subtract 12 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
solution is (2, 2 )
determine if the order pair (-4,5) is a solution of the given linear equation -2x -3 write or no as your final answer
please help
Answers
Yes ordered pair (-4,5 ) is a solution to this linear equation
What is linear equation?
If an equation is expressed as axe + by + c=0, where a, b, and c are real integers and x and y's coefficients, it is said to be a linear equation in two variables.
Main body:
According to question:
y = -2x-3
point = (-4,5)
so as to find whether this point satisfies the equation or not, we need to put the value of any variable and check whether other value holds true or not.
Now substituting x= -4 in the given equation
⇒ y = -2(-4) -3
⇒y 8-3
⇒y= 5
which is given in the ordered pair
hence (-4,5) are a solution to this equation.
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Someone help me plz.
Answers
20%
Explanation:
What we know:
- there are 25 cans in total
- 5 of them are root beer cans
Using this information, we can say that 5/25 cans are root beer cans. To find the percent, we change the fraction into a decimal and then multiply it by 100.
To change 5/25 into a decimal, we divide the numerator and denominator.
5/25=0.2
And we multiply the decimal by 100 to get the percent:
0.2*100=20
Therefore, 20% of Cam’s cans are root beer cans.
I hope this helps!
What is the radius of convergence of a power series function?
Answers
The radius of convergence of a power series function is a positive real number R that determines the interval of values for which the power series converges.
It represents the distance from the center of the power series expansion, within which the series converges. The radius of convergence is determined by the properties of the coefficients in the power series. Specifically, it is defined as the reciprocal of the limit superior of the absolute values of the coefficients. Mathematically, if we have a power series function of the form:
f(x) = ∑(n=0 to ∞) aₙ(x - c)ⁿ
where aₙ represents the coefficients and c is the center of the series, then the radius of convergence R is given by:
R = 1 / lim sup |aₙ|^(1/n)
The power series converges for all values of x within the interval (c - R, c + R). If |x - c| > R, the series diverges.
It's important to note that the radius of convergence can be zero, indicating that the power series only converges at the center point (x = c), or it can be infinite, indicating that the series converges for all values of x.
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What is the derivative of the function
f(x) = cos(x²-x)?
Select one:
a. 3(2x-1) cos(x2-x) sin(x2-x)
b. -3(2x-1) cos² (x² - x) sin(x² - x)
c. -3(2x-1) cos(x²-x)
d. -3cos² (x²-x)
Answers
The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)
To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.
The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.
In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.
The derivative of the outer function cos(u) is -sin(u).
To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.
Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.
Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:
df/dx = \(-sin(x^{2} - x) * (2x - 1)\)
Simplifying, we have:
df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)
Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).
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Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions.
Equation: −6x2−6=−7x−9
Discriminant: Answer
Solutions:
Answers
Answer:
-6x² - 6 = -7x - 9-6x² + 7x - 6 + 9 = 0-6x² + 7x + 3 = 06x² - 7x - 3 = 0Discriminant:
D = (-7)² - 4*6*(-3) = 49 + 72 = 121Since D > 0, there are 2 real solutions:
x = (- (-7) ±√121 )/12x = (7 ± 11)/12x = 1.5, x = -1/3
which statement about the points (1, −8) and (-1, -8) is true?
plot the points on a coordinate plane to help you answer the question.
A. (1, -8) and (-1, -8) are reflections of each other over the x-axis.
B. (1,-8) and (-1,-8) are in the same quadrant.
C. (1,-8) and (-1, -8) are reflections of each other over both axes.
D. (1,-8) and (-1, -8) are reflections of each other over the y-axis.
Answers
Answer:
The answer is D I'm pretty sure.
Step-by-step explanation:
I used a graph for this one. A is incorrect as both of them are on the same side of the X axis. B is incorrect as they are on opposite quadrants. C is incorrect as its only reflected on one quadrant and not the other. D is correct because they are reflected over the Y axis.
How much time will it take for the laptop to receive one mtu-size (1500 byte) packet?
Answers
The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.
Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.
First, let's convert the packet size from bytes to bits:
Packet size = 1500 bytes
1 byte = 8 bits
1500 bytes * 8 bits/byte = 12000 bits
Now, we need to divide the packet size by the network speed to calculate the time:
Time = Packet size / Network speed
For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:
Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds
Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
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Karen has a square rug that covers 76.5 ft^2 of her living room floor. Which measurement is closest to the side length of this rug in feet?
A. 8 ft
B. 9 ft
C. 19 ft
D. 20 ft
E. 38 ft
F. None of the above
Answers
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
Answers
d² + 9² = 15²
d = √(225 - 81)
d = 12
Answer: diameter = 12.
HELP AND HURRY UP pleas
Answers
Answer:
I believe the answer is 0, -1
Helped by QueenTLoveHave an nice day
what is the property of equality of 2y − 40 = -18?
Answers
Answer:
Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;
2y-40 + 40 =-18+40
2y = 40-18
2y = 22
We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.
Dividing the resulting equation by 2:
2y/2 = 22/2
y = 11
Step-by-step explanation:
\((x^\frac{4}{3} times x^\frac{2}{3}\)
Answers
Answer: \(x^2\)
Step-by-step explanation:
When you multiply two exponents, you add them
\(\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2\)
So, the answer is \(x^2\)
William sunk 25% of the shots he made on the basket. If he threw 80 shots, how many did he miss?
Answers
Answer:
Step-by-step explanation:
He missed 20 shots
Write 25% as 25100.
25100 of 80 = 25100 × 80.
Therefore, the answer is 20.
Answer:
60
plz mark me brainliest
Step-by-step explanation:
25% of 80 is 20 shots made plus 60 shots missed= 80 shots
Exponential smoothing with α = .2 and a moving average with n = 5 put the same weight on the actual value for the current period. True or False?
Answers
False. Exponential smoothing gives more weight to recent data points. Exponential smoothing and a moving average with the specified parameters do not put the same weight on the actual value for the current period.
Exponential smoothing with α = 0.2 assigns 20% weight to the current period's value and the remaining 80% to the smoothed values from previous periods. The weight distribution follows an exponential pattern, with more recent data points receiving higher weights.
In contrast, a moving average with n = 5 assigns equal weight (1/5 or 20%) to each of the last five data points, including the current period. This means the most recent five data points each have the same significance in the calculation of the average, without any preference for more recent data.
As a result, the influence of older data decreases as we go further back in time. On the other hand, a moving average with n = 5 calculates the forecast by averaging the previous 5 periods' actual values. In this case, each of these 5 values receives an equal weight of 1/5 or 20%.
Therefore, exponential smoothing gives more weight to recent data points, while a moving average treats all data points within the specified range equally. The two methods do not apply the same weight on the actual value for the current period.
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PLEASE I NEED SOME HELP!!!?!?
Answers
Answer:
the desired element lies in the 3rd row and 1st column, and is 25.
Step-by-step explanation:
We are given a 3 by 3 matrix: There are 3 rows and 3 columns.
The symbol a represents the element of this matrix that lines in row m and column 1. Thus, the desired element lies in the 3rd row and 1st column, and is 25.
mn
julie's lamp is 8 inches shorter than her closet.her closet is 82 inches. tall how tall julie's lamp?
Answers
Answer:
74
Step-by-step explanation:
Round 0.731 to the nearest hundredth.
Answers
Answer: 0.73
Step-by-step explanation:
Answer:0.73
Step-by-step explanation: none the answer is right
Suppose initially that the United States is consuming 18 boots and 2 shirts and Canada is consuming 4 boots and 12 shirts, as indicated in the figure. Then, suppose the United States and Canada specialize by each only producing the good for which they have a comparative advantage and then trade. In particular, suppose the United States trades Canada half of its production for half of what Canada produces.
The United States will have ___ additional shirt(s) after the trade (enter a numeric response using an integer) and __ additional boot(s). At the same time, Canada will be able to consume ___ additional shirt(s) as a result of the trade and ___ additional boot
Answers
The United States will have 16 additional shirt(s) after the trade (enter a numeric response using an integer) and 0 additional boot(s). At the same time, Canada will be able to consume 14 additional shirt(s) as a result of the trade and 0 additional boot
With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.
With commerce, the US will consume 18 boots. 18-18=0
0 additional boots.
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What is the volume of the cylinder when the radius is 10 and the height is 15
Answers
v=pi*10^2*15
v=4712.39u^3
Answer:
V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898
Savannah is making pots and plates to sell at a local art fair. Each pot weighs 2 pounds and each plate weighs 1 pound. Savannah cannot carry more than 50 pounds to the fair. She only has enough clay to make 40 plates. In addition, she only has enough clay to make 24 pots. She will make $12 profit on every plate and $25 for every pot that she sells. How many pots and how many plates should Savannah make to maximize her profit?
Answers
Answer:
24 pots 2 plates
Step-by-step explanation:
Answer:
24 pots and 2 plates
Step-by-step explanation:
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
Answers
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
How to carry out transformation reflection?
From the given first image, we see that it is in the first quadrant but by the second image, we see that it is now mirrored along the horizontal axis. Thus, we can say that it is reflected across the x-axis.
After reflection, across the x-axis, we see that it was translated down by 2 units.
The last transformation is that we see it is now in quadrant 3 which means it was now reflected across the y-axis.
The transformation of the given image follows the pattern; Reflection across the x-axis, then translation by 2 units downwards, the reflection across the y-axis.
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When simplified, which choice is equivalent to a2b3a−1b2c
Answers
Answer:ab power of 5 c
Step-by-step explanation: bc it stayed