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Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'
Answer:
I think that it would be -40
Step-by-step explanation:
I think this because they had to go back 40 spaces because 8 x 5 = 40.
The required number is 40 which represents that player's movements for those 5 turns.
Given that,
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that player's movements for those 5 turns.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,
Total spaces back = 5 * 8
= 40
Thus, the required number is 40 which represents that player's movements for those 5 turns.
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Point G is on line segment
F
H
‾
FH
. Given
G
H
=
8
,
GH=8,
F
H
=
3
x
+
3
,
FH=3x+3, and
F
G
=
2
x
,
FG=2x, determine the numerical length of
F
G
‾
.
FG
.
The numerical length of the line segment FG is 10 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Point G is on FH, hence:
FH = FG + GH
Given that GH = 8, FH = 3x + 3, FG = 2x, hence:
3x + 3 = (2x) + 8
x = 5
FG = 2x = 2(5) = 10
The numerical length of the line segment FG is 10 units.
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6 Jada has a compound interest savings
account for college as shown below. The
account is compounded monthly. How much
money is in Jada's account at the end of
3 years?
Principal, p
Interest
Rate,r
Additional
Time, te
Deposit
$100 at end of
$100
5%
3 years
each year
A $419.52
B $423.76
C $427.52
D $431.76
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4
This table shows points on the graph of function n, a transformation of the parent rational function. Use the table to determine key features of function n.
X: 0, 6, 12, 24, 30, 36
Y: -1.5, 0, -0.75, -0.9, -0.923, -0.938
Select the correct answer from each drop-down menu.
The x-intercept is at x = ___, and the y-intercept is at y = ___. As x approaches positive infinity, y approaches ___.
The x-intercept is at x = 0, and the y-intercept is at y = -1.5. As x approaches positive infinity, y approaches -0.938, as the fraction that makes up the function decreases as x increases.
The x-intercept is at x = 0, and the y-intercept is at y = -1.5. As x approaches positive infinity, y approaches -0.938. The formula for this function is\(n(x) = -(3/2x - 4)/(x-2)\). When x = 0, the numerator of this fraction is equal to -3/2(0) - 4, which is equal to -4. The denominator is equal to 0 - 2, which is equal to -2. Thus, the fraction is equal to -2, and the y-value at the x-intercept is -1.5. As x increases, the denominator of the fraction decreases, while the numerator remains the same. Thus, the fraction will decrease, and y will approach -0.938 as x approaches positive infinity.
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Seven hundred fifty people, or 22% of the respondents, said they would save the money. How many people responded to the survey
Answer:
In other words, 740 is 22% of "some number."
"per cent" means "out of 100." So...
Set up a proportion: 22/100 = 740/n
Cross-multiply so that 22n = 74,000
Then divide both sides by 22 to get...
n = 3363.6, but since you can't have .6 of a person, round up to 3364.
Hope this helps!
A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. A new accessory, the Laser Saber, has sales equal to 1.5 times the difference of the number of Invisible Shields and X-Ray Vision Glasses.Part AWrite an expression to represent the number of Laser Sabers sold.Part BHow would you write an equivalent expression for the price in simplified form? Explain.Part CAdd the expressions to find the total number of all four accessories sold.Part DIf the toy store sold 78 of the latest action figure, how many accessories did it sell? Explain.
Answer:
a) 12d + 9
c) 30d + 12
d) 207
Explanation:
First, we need to write an expression for each accessory.
Since d is the number of boxes, we get:
Turbo Jet Pack. Six times the number of boxes plus seven
6d + 7
X-Ray Vision Glasses. Five less than two times the number of boxes
2d - 5
Invisible Shield. One more than ten times the number of boxes
10d + 1
Part A.
Then, the Laser Saber has sales equal to 1.5 times the difference of the number of Invisible Shields and X-Ray Vision Glasses.
1.5((10d + 1) - (2d - 5))
Because 10d + 1 is the number of invisible shields and 2d - 5 is the number of X-Ray Vision Glasses.
Now, we can simplify the expression as
1.5(10d + 1 - 2d + 5)
1.5(8d + 6)
1.5(8d) + 1.5(6)
12d + 9
Part C.
Then, we need to add all the expressions before to get:
(6d + 7) + (2d - 5) + (10d + 1) + (12d + 9)
(6d + 2d + 10d + 12d) + (7 - 5 + 1 + 9)
30d + 12
Therefore, the total number of all four accessories is 30d + 12
Part D.
To know how many accessories did it sell, first, we need to find how many dozens are 78 action figures, so
78/12 = 6.5
Therefore, they sold 6.5 boxes of the action figure. Now we can find the number of accessories sold, replacing d with 6.5 in the expression of part C, so
30d + 12
30(6.5) + 12
195 + 12
207
Then, they sold 207 accessories.
a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone
A bag contains 3 red marbles, 2 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
1/9 ≅ 0.11
Step-by-step explanation:
why is the axis of action also called the 180-degree system?
The 180-degree system and the axis of action are fundamental principles of filmmaking that help create a cohesive and engaging visual experience for the viewer.
The axis of action is a fundamental principle in film and video production, which is used to ensure that the continuity of a scene is maintained and that the viewer's spatial orientation is not disrupted.
It is also known as the 180-degree system because it is based on a visual guideline that involves maintaining a consistent spatial relationship between the camera and the subjects within the scene.
The 180-degree system establishes an imaginary line, also known as the axis of action, between two subjects or objects in a scene. The camera is then positioned on one side of this line, and the subjects are positioned on the other side, allowing the viewer to maintain their spatial orientation throughout the scene.
By maintaining a consistent axis of action, filmmakers can avoid disorienting the viewer and maintain continuity throughout the scene. This technique is especially important in dialogue scenes where the interaction between characters is a critical component of the story.
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7. Of all the planets in our solar system, Jupiter has the greatest gravitational strength. a. If a 0.5 kg pair of running shoes would weigh 11.55 newtons on Jupiter, what is the strength of gravity there?
Answer:
Step-bGiven that,
Mass of pair of shoes, m = 05 kg
Weight of the shoes on Jupiter, W = 11.55 N
To find,
The strength of gravity on Jupiter.
Solution,
Weight of an object is given in terms of mass as follows :
W=mgW=mg
g is strength of gravity on Jupiter.
\begin{gathered}g=\dfrac{W}{m}\\\\g=\dfrac{11.55\ N}{0.5\ kg}\\\\g=23.1\ m/s^2\end{gathered}
g=
m
W
g=
0.5 kg
11.55 N
g=23.1 m/s
2
So, the strength of gravity on Jupiter is 23.1\ m/s^223.1 m/s
2y-step explanation:
Help me with number 23 plsssssss
The Answer is:
p=15
5x3=15
So that must mean 15/5=3
Hi! I'm happy to help!
To make this equation easier, we can use the inverse operation, multiplication (instead of division).
p÷5=3
3×5=p
Doing this will give you the same answer, it just makes it easier. 3 times 5 is 15, so p=15
We can double check our answer by putting in 15 for p.
p÷5=3
15÷5=3, this is true, so our answer is correct.
I hope this was helpful, keep learning! :D
is 2 to the power of 3 bigger then the square root of 5?
Answer:
Yes.
Step-by-step explanation:
Let's write out each problem:
\(\sqrt{5}\) = 2.3
\(2^3\) = 8
Now that we have both answers to each expression, we can tell that \(2^3\), in fact, is larger than the square root of 5.
So your answer is, "Yes, \(2^3\) is bigger than the square root of 5.
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Have an amazing day!
The table below shows the number of people that attended a family reunion each year. (Need help ASAP)
The table of attendees in the family reunion is a linear regression
The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th yearHow to draw the scatter plot?To do this, we represent the years on the x-axis and the attendees on the y-axis
See attachment for the scatter plot
The equation of the line of best fit?The scatter plot passes through the points
(0, 112) and (5, 136.5)
Start by calculating the slope, m using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (136.5 - 112)/(5 - 0)
m = 4.9
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 4.9 * (x - 0) + 112
y = 4.9x + 112
Hence, the equation of the line of best fit is y = 4.9x + 112
The attendees in the 15th yearThis means that x = 15.
So, we have:
y = 4.9 * 15 + 112
Evaluate
y = 186
Hence, 186 attendees are expected in the 15th year
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Given a polynomial equation of degree n , explain how you determine the number of roots of the equation.
By following these steps, you can determine the number of roots of a polynomial equation of degree n. Remember that the Fundamental Theorem of Algebra guarantees that there will be exactly n roots, considering multiplicities.
To determine the number of roots of a polynomial equation of degree n, we can use the Fundamental Theorem of Algebra, which states that a polynomial equation of degree n has exactly n complex roots, counting multiplicities.
Here's a step-by-step process to determine the number of roots:
1. Identify the degree: The degree of the polynomial equation is the highest power of the variable present in the equation. For example, in the equation \(f(x) = ax^n + bx^(n-1) + ... + cx + d\), the degree is n.
2. Count the number of roots: If the polynomial equation is of degree n, then it will have exactly n roots. However, these roots can be real or complex.
3. Real roots: To determine the number of real roots, you can use Descartes' rule of signs. The rule states that the number of positive real roots of a polynomial equation is equal to the number of sign changes in the coefficients of the terms, or it is less than that by an even number. For example, if you have the equation f(x) = 2x^3 - 4x^2 + x - 3, you observe two sign changes (from positive to negative), so there are either two or zero positive real roots.
To determine the number of negative real roots, you apply the same rule to the equation f(-x). In this case, if there are sign changes, it implies the existence of negative real roots.
It's important to note that the rule of signs only provides an upper bound on the number of real roots. It doesn't guarantee the exact count.
4. Complex roots: If the number of real roots is less than n, then the remaining roots must be complex. Complex roots always come in pairs because complex roots occur conjugate to each other. For example, if a + bi is a complex root, then its conjugate a - bi is also a root.
5. Multiplicity: The concept of multiplicity refers to the number of times a root appears in the equation. For example, a root with multiplicity 2 means it appears twice. The multiplicity can be determined by factoring the polynomial equation or by examining its graph.
Overall, by following these steps, you can determine the number of roots of a polynomial equation of degree n. Remember that the Fundamental Theorem of Algebra guarantees that there will be exactly n roots, considering multiplicities.
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if you use uv and see only one spot on your tlc plate, you can be sure your product is pure.
while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).
Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.
While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:
The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.
The impurity may be present in such a small amount that it is not visible on the TLC plate.
The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.
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2 1/3 expressed as a precent is…?
determine the magnitude of the force f the man at c must exert to prevent the pole from rotating, i.e., so the resultant moment about a of both forces is zero. true or false
The resultant moment about a both forces is zero. The statement is true.
A man B exerts a force on the rope, P = 30 lb
To find:
The magnitude of force, F
Consider a statement:
"The resultant moment about A of both forces is Zero."
Diagram attached at the end of the solution
\($ \theta=\tan ^{-1}\left(\frac{3}{4}\right) \\\)
\(& \theta=36.87^0\)
To prevent the pole from rotating, so that the resultant moment is about A = 0
We will apply the equilibrium Equation \($\sum \mathrm{M}_{\mathbf{A}}=0$\)
Here force \($P \times \sin (45)$\) and \($F \times \sin (\theta)$\) will not produce the moment at A.
Taking clockwise moment as a negative and anticlockwise moment as a positive.
\(& \mathrm{P} \times \cos (45) \times(18)-\mathrm{F} \times \cos (\theta) \times 12=0 \\\)
\(& 30 \times \cos (45) \times(18)=\mathrm{F} \times \cos (\theta) \times 12 \\\)
\($ \mathrm{~F}=\frac{30 \times \cos (45) \times(18)}{\cos (36.87) \times 12} \\\)
F = 39.77 lb
Based on the given parameters,
The magnitude of force, F = 39.77 lb
So there exists the force by considering the resultant moment about an of both forces as zero.
The statement is true.
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Five years ago the price of a regular package of skittles is $1.56. The current price of the package is $3.06.
What is the rate of change in the price of the skittles?
The rate of change in the price of the skittles is 0.37
How to calculate the rate of change in the price of the skittles ?Five years ago the price of a regular package of skittles is $1.56
The current price is $3.06
The rate of change can be calculated as follows
= 3.06-1.56/3.06
= 1.5/4
= 0.37
Hence the rate of change in the price of skittles is 0.37
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A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width. A farmer will only purchase the land if it measures 240 ft^2. Create an equation in terms of w that models this situation.
Given:
a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.
b.) A farmer will only purchase the land if it measures 240 ft.
From the given description of the measurement of the land, we generate the following equations:
Width = w
Length = w - 8
Area of the Land = 240 ft.^2
Area = Width x Length
240 = (w)(w - 8)
240 = w^2 - 8w
w^2 - 8w - 240 = 0
Question 1: Create an equation in terms of w that models this situation.
Answer: 240 = w^2 - 8w
Factoring out 240 = w^2 - 8w, we get:
240 = w^2 - 8w
w^2 - 8w - 240 = 0
w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0
First possible measure of the width,
w - 20 = 0
w = 20 ft.
Second possible measure of the width,
w + 12 = 0
w = -12 ft.
A dimension must never be a negative value, therefore, the width must be equal to 20 ft.
Let's determine the length,
Length = w - 8
= 20 - 8
Length = 12 ft.
Summary:
The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240
The measure of the length = 12 ft.
The measure of the width = 20 ft.
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
5. The volume of a cube is 125 cubic centimeters. How many centimeters long iseach edge of the cube?5 centimeters11 centimeters15 centimeters42 centimeters
Answer: 5 cm
Step-by-step explanation:
A cube means all sides have an equal length. therefore you need to find what number times itself 3 times will equal 125
to do this you can also do the cube root(∛) of 125 which will give you 5 cm
to verify your answer, simply do 5 x 5 x 5 which is 125
A square tile has a width of 1/4 foot how many tiles will fit end to end along a 4 food wall?
Answer:
16 tiles
Step-by-step explanation:
Use the graph of the greatest integer function, y=Lx], to find the limits given below.LO(a) lime0-4+(b) lim0-4-(a) Select the correct choice below and fill in any answer boxes within your choice.LOOA.lim00-4+(Type an integer or a simplified fraction.)OB. The limit does not exist
a)
\(\lim _{\theta\rightarrow-4^+}\frac{\lvert\theta\rvert}{\theta}=\frac{-4}{\theta}=\frac{-4}{-4}=1\)answer: 1
b)
\(\lim _{\theta\rightarrow-4^-}\frac{\lvert\theta\rvert}{\theta}=\frac{-5}{\theta}=\frac{-5}{-4}=\frac{5}{4}\)answer: 5/4
(a) How many ways can 8 people be arranged on 8 chairs in a row?
(b) How many ways can 8 people be seated around a circular table? (Note that rotating the chairs around the table does not change the seating) (c) Let {P.P2, P3, ...Ps} be eight people. How many committees can be selected from the people if ps has to be the chair of the committee (and so a member of the committee)?
There would be 40,320 ways can 8 people be arranged on 8 chairs in a row. There are 5,040 ways can 8 people be seated around a circular table. There are 128 committees can be selected from the people if ps has to be the chair of the committee
(a) The number of ways that 8 people can be arranged on 8 chairs in a row is 8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320. This is because there are 8 choices for the first chair, 7 choices for the second chair, and so on until there is only one choice for the last chair.
(b) The number of ways that 8 people can be seated around a circular table is (8-1)! = 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040. This is because we can fix one person in one seat and then there are 7 choices for the next seat, 6 choices for the next seat, and so on until there is only one choice for the last seat.
(c) The number of committees that can be selected from the 8 people if Ps has to be the chair of the committee is 2^(8-1) = 2⁷ = 128. This is because there are 7 people left to choose from and each person can either be on the committee or not on the committee, which gives us 2 choices for each person.
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Please help!
Provide an appropriate response and show your work. Assume that the random variable X is normally distributed, with mean=90 and standard deviation=12. Compute the probability P(57 < X < 105).
The probability that X is between 57 and 105 is 0.8914.
How to solveGiven:
* X is normally distributed with mean=90 and standard deviation=12
* P(57 < X < 105)
Solution:
* Convert the given values to z-scores:
* z = (X - μ) / σ
* z = (57 - 90) / 12 = -2.50
* z = (105 - 90) / 12 = 1.25
* Use the z-table to find the probability:
* P(Z < -2.50) = 0.0062
* P(Z < 1.25) = 0.8944
* Add the probabilities to find the total probability:
* P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914
Therefore, the probability that X is between 57 and 105 is 0.8914.
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1+1 = ??????????????????
Answer:
2
Step-by-step explanation:
one apple and another equals to 2.
Answer: 11
Step-by-step explanation: you put one and one together lol
sample size and statistical power considerations in high-dimensionality data settings: a comparative study of classification algorithms
In high-dimensionality data settings, sample size and statistical power considerations play a crucial role in the performance and effectiveness of classification algorithms. Sample size refers to the number of observations or data points available for analysis in a dataset.
In such settings, where the number of variables or features is large, the sample size becomes even more important. With a limited sample size, there is a risk of overfitting, where a model performs well on the available data but fails to generalize to new, unseen data.
This is because the model may be capturing noise or random fluctuations in the data rather than true patterns or relationships.
Statistical power refers to the ability of a statistical test to detect an effect or relationship if it truly exists in the population. In high-dimensional settings, statistical power can be compromised due to the "curse of dimensionality."
As the number of variables increases, the amount of data required to achieve a desired level of statistical power also increases.
To address these challenges, researchers often employ techniques like cross-validation and resampling to estimate model performance and assess the robustness of the results.
Additionally, feature selection or dimensionality reduction methods can be used to reduce the number of variables and improve the sample size to variable ratio.
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I need help on this question, please help me!!
Answer:
1/3
Step-by-step explanation:
The simulation will say that Jeffrey collected three different toys if the numbers in a group of three are either 0 or 1, a number more than 1 and less than 6, and a number 6 or more.
The groups {3, 7, 1}, {5, 1, 7}, {9, 2, 0}, {3, 0, 6} and {4, 6, 0} all simulate collection of all three toys from three boxes of cereal. Of the 15 simulated sets of three boxes, that is a probability of 5/15, or 1/3.
_____
Additional comment
The simulated toy numbers can be grouped in different ways. For example, we could take a vertical column of numbers as representing the purchase of 3 boxes of cereal. Doing that, we find 3 different toys only for the simulated values {4, 0, 6}, the last digits in the 4th column. The probability from considering the simulation that way is 1/15.
From this group of 45 numbers, one could calculate P(car) = 10/45, P(bus) = 19/45, and P(airplane) = 16/45. These vary a little from the theoretical values. Overall, with these values, the probability of 3 different toys from 3 boxes is about 0.200, only slightly different from the theoretical probability of 0.192.
Find the area of this circle. Use 3 for π.
A = πr²
[?] in²
14 in