which term best represents the intersection of two pages of an open book? line startfragment, line, angle startfragment, angle, point startfragment, point, plane
Answers
The term that best represents the intersection of two pages of an open book is point.
What is intersection?A third item made up of everything that is simultaneously contained in all of the other things is called an intersection of two or more objects in mathematics. In Euclidean geometry, for instance, the intersection of two lines in a plane that are not parallel is where they come together. More broadly, the set of elements that are a part of all of the sets is what is meant by the intersection of sets in set theory. The items being considered do not need to be in a shared space, unlike the Euclidean concept.
A point is the most frequent shape for an intersection in plane geometry, while there are other shapes that can be used as well. An intersection is an item of lesser dimension that is incident to each in incidence geometry, which is typically applied to flats.
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Related Questions
How many solutions are there to the inequality x1 + x2 + x3 ≤ 11, where x1, x2, and x3 are nonnegative integers? [Hint: Introduce an auxiliary variable x4 such that x1 + x2 + x3 + x4 = 11.]
Answers
The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.
We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.
We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.
We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:
| ** | * | ****
This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.
We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.
Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
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where h is the altitude above sea level, in meters, and P is the pressure, in kilopascals.
What is the pressure at sea level?
Answers
The pressure at sea level is considered to be 101.325 kPa, and as altitude increases, the pressure decreases accordingly.
At sea level, the pressure is referred to as standard atmospheric pressure. The value commonly used for standard atmospheric pressure is 101.325 kilopascals (kPa) or 1 atmosphere (atm).
This value is derived from the average pressure observed at sea level under standard atmospheric conditions.
As altitude increases, the pressure decreases due to the decrease in the density of air molecules in the atmosphere. This decrease in pressure with altitude is primarily caused by the decreasing weight of the air column above.
For every 8.5 kilometers of altitude gain, the pressure approximately halves.
The relationship between altitude and pressure can be described by the barometric formula, which is based on the ideal gas law and takes into account factors such as temperature variations.
However, for simplicity, the common approximation is to consider a linear relationship where the pressure decreases by about 1 kPa for every 10-meter increase in altitude.
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John has to solve the equation 3x = 15. What should John do the the equation?
A. John should divide both sides of the equation by 3.
B. John should multiply both sides of the equation by 3.
C. John should add 3 to both sides of the equation.
D. John should subtract 3 from both sides of the equation.
Answers
Answer:
or,3x=15
or,x=15/3
the value of x is 5,,
3. What is the explicit rule for the geometric
sequence 3, 12, 48,...?
A f(n)=9n-1
B f(n)=3(4)n-1
C f(n)=4n-1+3
Answers
The explicit rule for the geometric sequence 3, 12, 48,... is:
f(n) = \(3 \times 4^{(n-1)\). B.
The explicit rule for the geometric sequence 3, 12, 48,... need to determine the common ratio, r.
We can do this by dividing any term by the previous term:
r = 12/3
= 48/12
= 4
Now that we know the common ratio can use the formula for the nth term of a geometric sequence:
\(a_n\) = \(a_1 \times r^{(n-1)\)
where:
\(a_n\) is the nth term
\(a_1\) is the first term (3 in this case)
r is the common ratio (4 in this case)
n is the term number
Substituting these values into the formula, we get:
\(a_n\) = \(3 \times 4^{(n-1)\)
So, the explicit rule for the geometric sequence 3, 12, 48,... is:
f(n) = \(3 \times 4^{(n-1)\)
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(Photo) will mark you branliest
Answers
Answer:
the percentage is 0.7 this is answer
Find x and y
Show all the work
Answers
Answer
x = 28
y = 32
Step-by-step explanation:
Non-vertical angles (top and bottom) are congruent
Thus
5x - 15 = 4x + 13
x = 28
and so each non-vertical is
5(28) -15 = 125
4(28) + 13 = 125
Diagonals bisect vertex angles (left and right) Thus we have one vertical angle as (y + y) = 2y
and another vertical angle as (y -9) + (y - 9) = 2y - 18
All the angles in a kite adds up to 360
So
125 + 125 + 2y + (2y - 18) = 360
250 + 4y - 18 = 360
4y = 128
y = 32
what is 52.56 rounded to nearest hundred
Answers
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
La abuela Gertrude dio 13 joyas y la abuela Fien y joyas a las hermanas Carlson para que se las dividieran equitativamente. Hay 5 hermanas Carlson.
Answers
Step-by-step explanation:
Given part in the question is :
No of pieces of jewelry given by Grandma Gertrude = 13
No of pieces of jewelry given by Grandma Fien = y
There are 5 Carlson sisters.
Total no of pieces = y + 13
No of pieces received by jewelry is y+13 divided by 5. So,
\(\dfrac{y+13}{5}\)
Hence, each sister will receive \(\dfrac{y+13}{5}\) pieces of jewelry.
Can someone help pls
Answers
Answer:
x = 0, x = 5
Step-by-step explanation:
x² - 5x = 0 ← factor out x from each term
x(x - 5) = 0
equate each factor to zero and solve for x
x = 0
x - 5 = 0 ⇒ x = 5
1. Solve for the value of x
Answers
Answer:
x = 18Explanation:
Line E B C Needs To Equal 180°Create An Equation3x + 5 + 3x + 4 + 3x + 9 = 180
Simplify Both Sides Of The Equation(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
Subtract 18 From Both Sides9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
x = 18Suppose the annual interest rate is 7.5% and the interest is compounded annually. How much will an investment of $1,000 be worth after 3 years?
Answers
The investment οf $1,000 will be wοrth $1,225.04 after 3 years.
What is Cοmpοund interest?Cοmpοund interest is interest οn the principal amοunt οr lοan which is calculated accοrding tο the number οf cοmpοunds in οne year.
In this, the interest earned in each periοd is based οn the tοtal amοunt, which includes bοth the principal and the accumulated interest.
The fοrmula used fοr cοmpοund interest is
\({\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}\)Here we have
The principal amοunt is $ 1000
The annual interest rate here is 7.5%
The interest is cοmpounded annually.
The time periοd is 3 years
Using the fοrmula,
\({\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}\)
A = 1,000 (1 + 0.075/1)⁽¹⁽³⁾⁾
= 1,000 (1.075)³
= $1,225.04
Therefοre,
The investment of $1,000 will be wοrth $1,225.04 after 3 years.
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The tax rate increased from 25% to 40%.a. What is the absolute change in percentage points? b. What is the relative change?
Answers
Answer:
a. 15%
b. 60%
Explanation:
Part a.
The absolute change in percentage points can be calculated as
\(\text{ Absolute change = Final value - Initial value}\)So, by replacing the final value with 40% and the initial value with 25%, we get
\(\text{ Absolute change = 40\%-25\% = 15\%}\)Therefore, the absolute change is 15%
Part b.
The relative change can be calculated as
\(\text{ Relative change = }\frac{\text{ Final value - Initial Value}}{\text{ Initial value}}\times100\)Replacing the final value with 40% and the initial value with 25%, we get
\(\begin{gathered} \text{ Relative change = }\frac{\text{ 40\% - 25\%}}{\text{ 25\%}}\times100 \\ \\ \text{ Relative change =}\frac{\text{ 15\%}}{\text{ 25\%}}\times100 \\ \\ \text{ Relative change = 0.6}\times100 \\ \text{ Relative change = 60\%} \end{gathered}\)Therefore, the relative change is 60%
What are the domain and range of the function below? Domain[0, ∞). range (-∞, ∞). Domain[0, ∞). Range (-∞,4). Domain(0,4). Range (-∞, ∞). Domain(-∞,4]. Range[0, ∞).
HELP IMMEDIATELY PLEASE
Answers
Answer:
Domain[0, ∞). Range (-∞,4).
Step-by-step explanation:
domain is your lowest x (zero) to your highest x (infinity)
range is the lowest y (negative infinity) to your highest y (four)
Answer:
its b
Step-by-step explanation:
What is the maximum value of this function on the interval [-2,0]
![What is the maximum value of this function on the interval [-2,0]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Rpj3w6WyL1zaLGtzR66719SbgdD8r9XG.png)
Answers
Answer:
2,0?
Step-by-step explanation:
To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)
What is equivalent expression to 2a
Answers
Answer:
2a
Step-by-step explanation:
up at the top is the answer
a² + 6 from 7
plzz answer i gave u half of my points plz
Answers
Answer:
a = 1
Step-by-step explanation:
First, you subtract 6 from both sides and you end up with a² = 1. Since one cannot be squared or square rooted, a = 1. I hope this helps!
first answer= brainliest
Answers
Answer:
768 cubic inches
Step-by-step explanation:
8x8x12=768
A circle has a diameter of 8cm calculate the circumfrence of the circle
Answers
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula C = πd, where d is the diameter of the circle and π is the mathematical constant pi, approximately equal to 3.14.
In this case, the diameter of the circle is 8 cm, so we can substitute this value into the formula to get:
C = πd
C = π(8 cm)
C = 25.12 cm
Therefore, the circumference of the circle is 25.12 cm (rounded to two decimal places).
Answer:
C = 8π or ≈ 25.13cm
Step-by-step explanation:
To solve for radius when given diameter:
Radius = diameter ÷ 2
Radius = 8 ÷ 2
Radius = 4
To solve for the circumference of a circle when given radius, we can use this equation:
C = 2πrInserting 4 into the equation:
C = 2π4C = 8πC ≈ 25.1327Therefore, a circle with a diameter of 8cm has a circumference of 8π or 25.13cm (rounded to 2 decimal places).
The entities on which data are collected are population samples elements None of the above
Answers
c). The entities on which data are collected are called elements.
Data collection is a process of gathering information from different sources which is later used for analysis and interpretation. Data is usually collected from elements, which are individual units like people, organizations, or any other physical or virtual entity.
Each element has a set of characteristics or attributes which are collected to form the data. For example, if data is being collected from people, the attributes would include age, gender, occupation, income, etc. This data is then collected and stored in some form that can be used for further analysis.
Data can also be collected from populations, which are a collection of elements or a group of elements with certain features in common. In this case, the data collected is the average of all the elements in the population, rather than data from individual elements.
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PLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!
Answers
Find the sum of the series. [infinity] Σn = 0 7(−1)^n ^(2n +1). 3^(2n +1) (2n + 1)!
Answers
The given series is a complex alternating series. By applying the ratio test, we can show that the series converges. However, it does not have a closed form expression, and therefore we cannot obtain an exact value for the sum of the series.
The given series can be written in sigma notation as:
∑n=0 ∞ 7\((-1)^n(\)2n +1) \(3^(2n +1)\) (2n + 1)!
To test for convergence, we can apply the ratio test, which states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely. Applying the ratio test to this series, we get:
lim|(7*\((-1)^(n+1)\) * 3\(^(2n+3)\) * (2n+3)!)/((2n+3)(2n+2)(3^(2n+1))*(2n+1)!)| = 9/4 < 1
Therefore, the series converges absolutely.
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clearly, the pattern for men is very similar to the pattern for women. but are the two lines getting closer together? here’s a timeplot showing the difference in average age (men’s age — women’s age) at first marriage, the regression analysis, and the associated residuals plot.
Answers
If the differences are decreasing, it suggests that the lines for men and women are getting closer together. Conversely, if the differences are increasing, it indicates that the lines are moving further apart.
Based on the information provided, it seems like you are analyzing the pattern of average age at first marriage for men and women.
However, you want to know if the two lines representing the average age for men and women are getting closer together.
You would need to examine the regression analysis and the associated residuals plot. The regression analysis helps determine the relationship between the variables, while the residuals plot shows the differences between the observed and predicted values.
By examining the residuals plot, you can see if there is a consistent pattern of the differences decreasing or increasing over time.
If the differences are decreasing, it suggests that the lines for men and women are getting closer together.
Conversely, if the differences are increasing, it indicates that the lines are moving further apart.
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Which equation a line that goes through the points (1, 5) and (-2,2)
y = x + 3
y = -x + 5
y = x + 4
y = -x + 3
Answers
Answer:
y= x+ 4
is the answer
hope it helpedxyz=A (solve for z).
Answers
Answer:
z=0
Step-by-step explanation:
Hope this helps and have a great day!
martha and axel went to the store to buy 3 apple, but only had a buget of 5 dollars
Answers
Answer:
i need more information to answer your question
Step-by-step explanation:
Struggling with this one..
Answers
Answer:
Step-by-step explanation:
I'm not exactly sure what you want here but the action Sally took has produced a figure which is symmetrical about the line BC.
A cooler contains 4 l of water. the cooler has marks on it at every 0.2 l. water bottles are filled with water from the cooler, and each bottle holds approximately 4/9 l. after 4 water bottles are filled, between which two marks is the water level in the cooler?
Answers
As per the unitary method, the place of marks in the water level in the cooler is 2.0 and 2.2 respectively.
Here we have given cooler contains 4 l of water. the cooler has marks on it at every 0.2 l.
And here we also know that water bottles are filled with water from the cooler, and each bottle holds approximately 4/9 l.
Then the marking on the cooler are written as 0.2, 0.4, 0.6, 0.8, ...
Here we know that the water bottle will hold 4/9l of water
Here we have to convert the fraction into decimal form, then we get,
=> 4/9
=> 0.44
Then the water that can be filled on 4 bottle is calculated as,
=> 4 x 0.44
=> 1.76
Then the remaining water is calculated as,
=> 4 - 1.76
=> 2.24
Then the level of water mark in the cooler is 2.0 and 2.2
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Can anyone help me with this please .
Answers
Answer:
Left: yes it is linear
Right: No it is not.
Step-by-step explanation:
Left Problem
The table on the left is linear. It's general form is
y = 6x + 7
x = 5
y = 5*6 + 7
y = 37
-------------------
x = 8
y = 6*8 + 7
y = 48 + 7
y = 55
------------------
y = 6*12 + 7
y = 72 + 7
y = 79
=============
Right Problem
The right problem looks like it is linear. It is not, I don't think. Do the same thing you did above.
y = 62x
x = 2
y = 2*62
y = 124
-----------------------
y = 62x
x = 6
y = 62 * 6
y = 372
---------------------
y = 62*x
x = 9
y = 62 * 9
y = 558
It should be 558 not 552
A trainer working for the circus trains a lion to jump through a hoop by rewarding small steps (like walking near the hoop, walking through the hoop, and so on) that eventually lead to this desired, more complex behavior. this trainer is using ____________________. shaping classical conditioning observational learning latent learning
Answers
The trainer is using the technique of shaping to train the lion to jump through a hoop. Shaping is a method of operant conditioning where desired behaviors are gradually achieved by reinforcing successive approximations of the target behavior.
The trainer is using shaping to train the lion. Shaping involves rewarding small steps or behaviors that are closer and closer to the desired behavior, gradually shaping the lion's behavior towards the ultimate goal of jumping through the hoop. The trainer starts by reinforcing simpler behaviors, such as walking near the hoop, and then progressively rewards more complex behaviors, like walking through the hoop, until the lion successfully jumps through the hoop.
Shaping is a technique derived from operant conditioning, a type of learning where behaviors are strengthened or weakened by the consequences they produce. By using positive reinforcement, in the form of rewards, the trainer motivates the lion to continue exhibiting behaviors that lead to the desired outcome. Through shaping, the lion learns to associate the hoop with positive reinforcement and is gradually shaped to perform the complex behavior of jumping through the hoop.
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NEEEEEEEEEEEEEEEEEEEDDDDDDDD HELP
Answers
Answer:
Step-by-step explanation:
1.
19² = 17² +x²
19² - 17² = x²
√361-289 =x
√72 = 8.5 ≈ x
Area = base*h/2 = 17*8.5/2 ≈ 72.3
Perimeter = 19+17+8.5= 44.5
and so on...
2.
x²= 5² +13²...
A= 5*13/2 =...
P= 5+13+x=...
3.
20² = 10² +x²...
A=10*x/2=...
P=20+10+x=...
4.
x² = 5² +14²...
A=5*14/2 =...
P= 5+14+x = ...