The correct option is A. (8 × 10) (1 × 1/10) (6 × 1/100). The given number is 80.106. It can be written in expanded form as (8 × 10) + (0 × 1) + (1 × 0.1) + (0 × 0.01) + (6 × 0.001). This is because:8 is in the tens place (second place) from the left of the decimal point.
So, it is multiplied by 10.0 is in the ones place (first place) from the left of the decimal point. So, it is multiplied by 1.1 is in the tenths place (first place) to the right of the decimal point.
So, it is multiplied by 0.1.0 is in the hundredths place (second place) to the right of the decimal point. So, it is multiplied by 0.06 is in the thousandths place (third place) to the right of the decimal point. So, it is multiplied by 0.001.
Therefore, the correct option is A. (8 × 10) (1 × 1/10) (6 × 1/100).
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CAN ANYONE FIND THE SLOPE OF THIS LINE WITHIN THE NEXT COUPLE OF MINUTES PLSS
Answer:
Hello.
Slope= y=-0.5x + 1.5
Step-by-step explanation:
give explanation please, thank
you.
(b) Let S = {x|x = 1 - 1, n = 1,2,3,... ..}.. i) What is the set of boundary points of S? ii) What is the set of interior points of S. iii) Is S an open set? Briefly explain. iv) Is S a closed set? Br
(i) The set of boundary points of S is {1}.
(ii) There are no interior points in S.
(iii) S is not an open set because it does not contain any interior points.
(iv) S is a closed set because it contains all of its boundary points.
Let's analyze the set S step by step:
(i) Boundary points of S:
A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.
(ii) Interior points of S:
An interior point of a set is a point that has an open neighborhood contained entirely within the set.
In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.
However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.
Therefore, there are no interior points in S.
(iii) S as an open set:
An open set is a set that contains all of its interior points.
Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.
Therefore, S is not an open set.
(iv) S as a closed set:
A closed set is a set that contains all of its boundary points.
In this case, the set of boundary points of S is {1}, and this set is contained within S itself.
Therefore, S contains all of its boundary points and is considered a closed set.
In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.
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the acceleration of an oscillator undergoing simple harmonic motion is described by the equation ax(t)=−(18m/s2)cos(33t) , where the time t is measured in seconds.
The equation \(ax(t) = -(18 m/s^2)cos(33t)\) describes the acceleration of an oscillator. The acceleration varies sinusoidally with time, following a cosine function, and has a maximum value of \(-18 m/s^2\).
The given equation \(ax(t) = -(18 m/s^2)cos(33t)\) represents the acceleration of an oscillator undergoing simple harmonic motion. In this equation, t represents time measured in seconds.
The term cos(33t) indicates that acceleration varies sinusoidally with time. The cosine function has a period of 2π, meaning it completes one full cycle over the interval [0, 2π]. The coefficient 33 in front of t determines the frequency of oscillation. In this case, the oscillator completes approximately 33 cycles per second.
The negative sign indicates that the acceleration is directed opposite to the displacement of the oscillator. As the oscillator moves in one direction, the acceleration pulls it back in the opposite direction, causing it to oscillate around a stable equilibrium position.
The maximum acceleration is given by \(-18 m/s^2\), which represents the amplitude of the oscillation. The acceleration varies between \(-18 m/s^2\) and \(18 m/s^2\), with the maximum magnitude occurring when the cosine function is at its peak value of 1 or -1.
Overall, the equation describes the acceleration of an oscillator undergoing simple harmonic motion, providing information about its amplitude, frequency, and direction of motion.
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If f(x) = 2 (3x) + 1 , what is the value of f(2) ?
Answer:
13
Step-by-step explanation:
f(x)=2(3x)+1
f(2)=2(3X2)+1
f(2)=2(6)+1
f(2)=12+1
f(2)=13
The value of function f(2) is 13.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given function; f(x) = 2 (3x) + 1
We need to find the value of f(2) .
f(x) = 2(3x)+1
f(2) = 2(3 * 2)+1
f(2) = 2(6)+1
f(2)=12+1
f(2)=13
Therefore, the value of function f(2) is 13.
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There are 56 people on a bus t, people get off at the next stop and 3 more people get on how many people are on the bus now
*when you look up every math question instead of using your brain*
Me:.....
Answer:
For real, Also, would you mind giving me brainliest?!
Step-by-step explanation:
Ty if u give me brainliest and ty for the points <3
FRACTIONAL INDICIES - PLEASE HELP
Answer:
1) 2/5
b) 5/2
2) C
3) 1/3
4) X = - 3/2
5) middle right left
•°|NO LINKS PLEASE, LOOKING FOR REAL ANSWERS|°•
What is the formula for finding the surface area of a square pyramid?
Answer:
a2 + 2al (or) a2 + √a24+h2 a 2 4 + h 2
Step-by-step explanation:
Answer:
SA=L²+2L√(L²/4+H²)
Step-by-step explanation:
Where H is the height and L is the length
Learning Task 1: Determine the number if it is a multiple of another number. Encircle your answers.
1.) 72 - 2 3 4 5 6 7 8 9 10 11 12
2.) 472-2 3 4 5 6 7 8 9 10 11 12
3.) 960 - 2 3 4 5 6 7 8 9 10 11 12
4.) 220 - 2 3 4 5 6 7 8 9 10 11 12
5.) 828 -2 3 4 5 6 7 8 9 10 11 12
Answer:
1.) 2 3 4 6 8 9 12
Step-by-step explanation:
my answer was deleted cause it somehow violated Brainly's guidelines
7968 divided by 22 estimating
Answer:
363
Step-by-step explanation:
Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0. 85p, where p is the original price of the car. He also knows he has to pay 9% sales tax on the car. The price of the car with tax is f(c) = 1. 09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car. C[f(c)] = 1. 94c f[c(p)] = 0. 9265p c[f(c)] = 0. 9265c f[c(p)] = 1. 94p.
The composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.
What is a composite function?A composite function is a function that is in another function, such that on solving the composite function the result is the same as the function solve individually.
We know that the sale price of Jonah's car is c(p) = 0. 85p, where p is the original price of the car. Also, the tax on the car is 9% of the sale price, and the final price of the car is f(c) = 1. 09c, including tax, therefore, the composite function can be written as,
\(f(c) = 1.09 c\)
We already know the value of c, therefore,
\(f(c(p)) = 1.09 (0.85p)\\\\f(c(p)) = 10.9265(p)\)
Hence, the composite function that can be used to calculate the final price of Jonah's car is f[c(p)] = 0. 9265p.
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I will give you 40 points if you answer correctly
What is the distance of segment FG?
Answer:
dmfirnwudodnwbdovnwidovnwjchehqodnvnwocnfbwbxocjejajxkfek
The value of "y" varies directly with "x".
If y = 100, then x = 20.
Solve for k.
k = [?
Remember: y=kx
The value of the constant k is 5
What is direct variation?Direct variation can be defined a type of variation in mathematics in which there is a simultaneous increase in the value of the variables.
As the value of one of the variable increases, the value of the other variable also increases and as the value of one of the variables decreases, the value of the other variable also decreases.
From the information given, we have that;
y ∝ x
Determine the constant
y/x = k
Where , 'k' is the constant of variation
Substitute the value of x and y, we have;
k = 100/20
divide the values
k = 5
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what is 2 7/15 x 1 3/7
Answer:
The answer is 3 11/21
Step-by-step explanation:
Answer:
\(\underlie{\bold{\ 3\frac{11}{21}\ }}\)
Step-by-step explanation:
\(2\frac7{15}\cdot1\frac37=\frac{2\cdot15+7}{15}\cdot\frac{1\cdot7+3}{7}=\frac{37}{15}\cdot\frac{10}{7}=\frac{37}{3}\cdot\frac{2}{7}=\frac{37\cdot2}{3\cdot7}=\frac{74}{21}=\frac{3\cdot21+11}{21}=3\frac{11}{21}\)
What is the equation helppp
Answer:
y=2x+4
Step-by-step explanation:
Answer:
The slope-intercept equation is y=2x+4
Step-by-step explanation:
The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run. I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.
Here is a triangle:
(a) Work out the size of the angle marked a.
(b) Work out the size of the angle marked b.
Answer:
a.) 130°
b.) 70°
Step-by-step explanation:
For a given triangle
a.)The sum of all angles on a straight line is equal to 180°
Now,
50° + a = 180°
Subtract 50° from each side we get,
50° - 50° + a = 180° - 50°
a = 130°
Thus, The size of the angle marked a is 130°
b.)The sum of all angles in a triangle is equal to 180°
Now,
b + 50° + 60° = 180°
b + 110° = 180°
Subtract 110° from both side we get,
b + 110° - 110° = 180° - 110°
b = 70°
Thus, The size of the angle marked b is 70°
-TheUnknownScientist 72
Each of these relationships reflects a correlation. Which relationship most likely reflects correlation and causation? a. Drinking iced coffee more often is associated with using a fan more often. b. Drinking iced coffee more often is associated with wearing shorts more often. c. Drinking iced coffee more
Drinking iced coffee more often is associated with feeling more awake is most likely correlation and causation.
A relationship that most likely reflects correlation and causation is "Drinking iced coffee more often is associated with feeling more awake." The reason for this is that drinking iced coffee directly affects the level of alertness, which causes a change in the feeling of being awake.
This relationship suggests a cause-and-effect relationship between drinking iced coffee and feeling awake.
On the other hand, "Drinking iced coffee more often is associated with using a fan more often" and "Drinking iced coffee more often is associated with wearing shorts more often" do not reflect a cause-and-effect relationship.
The two variables are merely associated with each other, but there is no direct cause-and-effect relationship between them. It could be that both variables are related to a third factor, such as the weather, or that they are simply independent of each other.
In conclusion, when determining whether a relationship reflects correlation and causation, it is important to consider if there is a direct cause-and-effect relationship between the two variables.
Hence, the correct answer is c.
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--The given question is incomplete; the complete question is
"Each of these relationships reflects a correlation. Which relationship most likely reflects correlation and causation?
a. Drinking iced coffee more often is associated with using a fan more often.
b. Drinking iced coffee more often is associated with wearing shorts more often.
c. Drinking iced coffee more often is associated with feeling more awake."--
Someone helppppppppppppp
Answer:
Answer is 18
Step-by-step explanation:
18x3=54
54+54=108
18+2=20
20+20=40
108+40=148
In a circle the difference of circumference and diameter is 180 cm, find its diameter
Open-Ended A baseball team scores a steady number of runs in each of the first 5 innings. After thatthey do not score a run the rest of the game, which lasts 10 innings. Let x represent the inning of thegame, and y represent the total number of runs. Sketch a graph that shows the relationship between xand y. Use pencil and paper. What would happen to the graph if the innings in which they score runschanges?Choose the correct graph below.O A.OC.Baseball GameBaseball GameBaseball GameTotal Number of RusOB.CC
EXPLANATION:
Given;
We are told that a baseball team scores in each of their first 5 innings. After that they do not score a run for the next 10 innings.
Let x represent the inning of the game and y represent the total number of runs.
Required;
Sketch a graph that shows the relationship between x and y.
Step-by-step explanation;
With each run the team scores points, that simply means as x increases, y also increases. That signifies a positive relationship between both variables. A positive relationship will be an upward sloping line (from left to right). At the point where the team does not score any more points, the line does not rise.
So the innings (the x-axis) moves towards the right while the runs does not move at all up till 10 innings.
This is best described by the graph labelled C.
ANSWER:
Graph C best represents the situation described
A survey of 3,000 who bought a new car showed that 900 people had
mechanical issues within the first 2 year.
a. What is the relative frequency of the people that had mechanical issues?
b. What is the relative frequency of the people that did not have mechanical
issues?
c. What does the relative frequencies in part (a) and (b) tell you about the
new car and how reliable it has been? Explain your reasoning.
A. The relative frequency of the people that had mechanical issues is 30%.
B. The relative frequency of the people that did not have mechanical issues is 70%.
C. The relative frequencies in (a) and (b) suggest that the new car has been relatively unreliable, as 30% of buyers experienced mechanical issues within the first two years. This suggests that the car has not been built to a high standard of quality, and that buyers should be prepared for potential issues with the car.
a multiple regression model has the form . as x1 increases by 1 unit (holding x2 constant), is expected to increase by how many units?
Y is expected to increase by 2 units.
What is Multiple Regression ?A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
In a multiple regression, the impact of numerous explanatory variables on a particular outcome is taken into account. When all other factors in the model are kept constant, it assesses the relative impact of these independent or explanatory variables on the dependent variable.
Multiple regression model =>
\(Y = 7 + 2x_1 + 9x_2\)
So, here coefficient of \(x_1\) is 2 this means that as x 1 increases by 1 unit holding x 2 constant , y is expected to increase by 2 units.
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The given question is incomplete, complete question is:
A multiple regression model has the form Y = 7 + 2x1 + 9x2
As x1 increases by 1 unit (holding x2 constant), y is expected to O a. increase by 2 units O b. increase by 9 units O c. decrease by 9 units O d. decrease by 2 units
Make a table of values and a graph for the functionWhat is the domain?What is the range?
Answer and Explanation:
Given:
\(f(x)=(0.2)^x-3\)Let's go ahead and chose different values of x and corresponding values of y;
When x = -2;
\(\begin{gathered} f(-2)=(0.2)^{-2}-3 \\ =25-3 \\ =22 \end{gathered}\)When x = -1;
\(\begin{gathered} f(-2)=(0.2)^{-1}-3 \\ =5-3 \\ =2 \end{gathered}\)When x = 0;
\(\begin{gathered} f(0)=(0.2)^0-3 \\ =1-3 \\ =-2 \end{gathered}\)When x = 1;
\(\begin{gathered} f(1)=(0.2)^1-3 \\ =0.2-3 \\ =-2.8 \end{gathered}\)When x = 5;
\(\begin{gathered} f(5)=(0.2)^5-3 \\ =0.00032-3 \\ =-2.99 \end{gathered}\)With the above values, we can go ahead and graph the function as seen below;
The domain of a function is the set of possible input values(x-values) for which the function is defined. On a graph, it is the set of x-values from left to right.
Looking at the given graph, we can see that the domain is;
\(Domain:(-\infty,\infty)\)The range of a function is the set of possible output values(y-values). It is the set of y-values from the bottom to the top of the graph.
Looking at the given graph, we can see that the range is;
\(Range:(-3,\infty)\)Write the equation in standard form for the hyperbola with vertices (-2,0) and (2,0) and a conjugate axis of length 14
Solution
- The equation of a hyperbola is given s:
\(\begin{gathered} \frac{(x-h)^2}{a}-\frac{(y-k)^2}{b}=1 \\ \\ where, \\ coordinates\text{ of the vertices}=(h\pm a,k) \\ Length\text{ of conjugate axis}=2b \end{gathered}\)- Thus, we can find that:
\(\begin{gathered} (\pm2,0)=(h\pm a,k) \\ \\ k=0 \\ \therefore h+a=2 \\ h-a=-2 \\ \text{ Subtract both equations, we have:} \\ 2a=4 \\ a=\frac{4}{2}=2 \\ \\ h+a=2 \\ h+2=2 \\ h=2-2=0 \\ \\ \text{ Thus, we have that the center of the hyperbola is: }(h,k)=(0,0) \\ \\ 2b=14 \\ \text{ Divide both sides by 2} \\ b=\frac{14}{2}=7 \end{gathered}\)Final Answer
The equation of the parabola is:
\(\frac{x^2}{2^2}-\frac{y^2}{7^2}=1\)what does m equal?please help me.
Answer:m is greater than or equal to 1/2
Step-by-step explanation:
Describe each polynomial expression by type and components based on the example
shown.
3x² + 2x
2x²–5x+3
• 6x
Answer:
The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms). The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term). Not sure if that's what you were looking for.
Step-by-step explantion:
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint?
Answer: 300 drops of paint
Step-by-step explanation:
6X5=30 6X50=300
Check the photo. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
4/25
Step-by-step explanation:
Its 4/25 as a fraction
evaluate sin 315 without a calculator
Answer:
-0.7071.
Step-by-step explanation:
The value of function sin 315 is -1/2.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Sin 315 degrees can be found by using the unit circle.
The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.
Every point on the unit circle is a point that is one unit away from the origin.
The unit circle is used to help find the exact values of the trigonometric functions at specific angles.
The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.
Using the x-coordinate, we can calculate the sine to be -1/2.
Hence, the value of function sin 315 is -1/2.
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What is the circumference os the circle shown below? (Round your answer to the nearest tenth.)
Answer:
Option C(66.0)
Step-by-step explanation:
C = 2πr
C=Circumference
π=3.14(pi)
r=radius
C=2x3.14x10.5
3.14x10.5=32.97
32.97x2=65.94
65.94 rounded to nearest tenth is 65.9, so basically 66.0.