Answer:
they are 10km 32 degrees far from each other
Step-by-step explanation:
scott - 100km - 30 degrees
spork - 110km - 62 degrees
how far = difference between them
as spork's distance and degrees are greater than scott we substract Scott's from spork's
110 - 100 = 10 km
62 - 30 = 32 degrees
they are 10km 32 degrees far from each other
Answer:
they are 10km 32 degrees far from each other
Step-by-step explanation:
what is the solution to the exponential equation 8=3^x-1
Answer:
x=5
Step-by-step explanation:
First we will rewrite 81=3^4
Now we have that our equation is in form of
3^4=3^x-1
From this we have that
4=x-1
We can conclude that:
x=5
A class of 28 students had a mean score of 72 on a math test. After the teacher realized that one of the questions had an alternative correct answer, he gave 4 points each to the 7 students who had given the alternative answer. What is the new mean test score?
Answer:
73
Step-by-step explanation:
Jump To The Flag
Bob is trying to reach a flag that's some height above the ground. In his attempt to reach the flag, Bob can make any number of jumps up the rock wall where it's mounted. He can only move up the wall though, and he must end at exactly the height of the flag. There are 2 types of jumps:
1. A jump of height 1.
2. A jump of height j ;
Determine the minimum number of jumps it will take Bob to reach the flag's height exactly
The minimum number of jumps required to reach the flag's height is 3.
Let n be the height of the flag. We can use a recursive approach to determine the minimum number of jumps it takes to reach the flag's height.
For n = 0, it takes 0 jumps to reach the flag's height.
For n = 1, it takes 1 jump to reach the flag's height.
For n > 1, we can calculate the minimum number of jumps using the following equation:
minJumps(n) = 1 + min(minJumps(n-1), minJumps(n-j))
Where minJumps(x) is the minimum number of jumps required to reach the flag's height from ground level x.
For example, if the flag's height is 5 and Bob can jump a height of 2, the minimum number of jumps required to reach the flag's height is 3.
minJumps(5) = 1 + min(minJumps(4), minJumps(3))
= 1 + min(1 + min(minJumps(3), minJumps(2)), 1 + minJumps(2))
= 1 + min(1 + 1, 1 + 1)
= 3
Therefore, the minimum number of jumps required to reach the flag's height is 3.
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Find all the zeros for the function f(x) = 2x - 5x + 2x - 5
Answer:
The roots (zeros) are the
x
values where the graph intersects the x-axis. To find the roots (zeros), replace
y with 0 and solve for
x.
x=1/2,
5
Step-by-step explanation:
1. John is interested in determining if frequency of exercise affects pulse rate. John randomly samples individuals at a local gym to ask if they will participate in his study. 55 individuals agree, and they are divided into three groups of exercisers: 1 = high frequency, 2 = moderate frequency, 3 = low frequency. Next, John measures their pulse after their workout. Do pulse rates differ among individuals who exercise with high frequency versus those who exercise moderately versus those who exercise with low frequency?
John's study aims to determine if exercise frequency has an effect on pulse rate. Statistical analysis can be used to verify the alternate hypothesis.
John wants to determine whether the frequency of exercise affects pulse rate. To investigate this, he randomly selects individuals at a local gym who agree to participate in his research. John divides the 55 individuals who agree into three exercise frequency categories: high, moderate, and low.
Following their exercise, he calculates their pulse rates. Is there a difference in pulse rates among those who exercise frequently, moderately, and infrequently?The null hypothesis for this research question would be that there is no relationship between the frequency of exercise and pulse rate. The alternate hypothesis would be that there is a correlation between frequency of exercise and pulse rate. Statistical tools like ANOVA or T-test can be used to test the hypothesis.
In conclusion, John's study aims to determine if exercise frequency has an effect on pulse rate. Statistical analysis can be used to verify the alternate hypothesis.
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A panel for a political forum is made up of 14 people from three parties, all seated in a row. The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats. In how many distinct orders can they be seated if two people of the same party are considered identical (not distinct)?
Given that
A panel for a political forum is made up of 14 people from three parties, all seated in a row.
The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats.
For Republicans, they can be seated in 1 way.
For Green Party with 6 members, they can be arranged in
\(2,2,2=3\text{ways}\)While in 7 Democrats, they can be arranged in
\(2,2,2,1=4\text{ways}\)Therefore, if two people of the same party are considered identical, they can be arranged in
\(1\times3\times4=12ways\)Hence, they can be arranged in 12 distinct orders.
Amelia had some moneynsaved before she started saving $2 each week.After 3 weeks, her total savings were $16. how much money had amelia saved at the begining of 3 weeks?
Answer:
genuinely hope no one answers your srs questions.
Step-by-step explanation:
also, I looked at all of your questions, this is a school app not a dating app. weirdo.
Help Solve the system of equations 2x+3y=02x+3y=0 and -4x-y=30−4x−y=30 by combining the equations. Look at screen shot im 14 thanks
The solution for the system of equations:
2x + 3y = 0
-4x - y = 30
is y = 7 and x = -10.5
How to solve the system of equations?
Here we want to solve the following system of equations:
2x + 3y = 0
-4x - y = 30
By combining the equations.
If we add two times the first equation and the second equation, we will get:
2*(2x + 3y) + (-4x - y) = 0 + 30
We can simplify that to get:
4x + 6y - 4x - y = 30
5y = 30
Now we can solve that for y.
y = 30/5
y = 7
Now to find the value of x, we can replace y by 7 in one of the equations of the system.
2x + 3*7 = 0
2x = -21
x = -21/2
x = -10.5
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The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
–13
–7
2
8
Answer:
(B)
Step-by-step explanation:
We have the equation:
\(y-3=-2(x+5)\)
Convert into Slope Intercept Form:
\(y-3=-2(x+5)\)
\(-2*x=-2x\\-2*5 = -10\)
\(y-3=-2x-10\)
\(y-3+3=-2x-10+3\\\boxed {y=-2x-7}\)
Slope-intercept form is \(y=mx+b\).
Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.
Option B should be the correct answer.
Answer:
y intercept is -7
Step-by-step explanation:
y - 3 = -2 (x+5)
This is point slope form
We want to get this to slope intercept form
y=mx+b where m is the slope and b is the y intercept
Distribute
y-3 = -2x-10
Add 3 to each side
y-3+3 = -2x-10+3
y = -2x-7
The slope is -2 and the y intercept is -7
Help me on Domain and Range
Answer:
Domain: 0 ≤ x < 9
Range: 0 < y ≤ 3
Step-by-step explanation:
The domain is the set of all values used for x-coordinates of all points on the curve.
The range is the set of all values used for y-coordinates of all points on the curve.
Look at the graph. The leftmost point is (0, 3). That point is included in the graph since there is no open circle there.
So far we know this:
Domain goes from 0 to ...
Range goes from 3 to ...
Now we look at the rightmost point. It is (9, 0), but there is an open circle on it, so that point itself is not included in the domain or range.
Now we know this:
Domain goes from 0 to just less than 9.
Range goes from 3 to to just more than 0.
Domain: 0 ≤ x < 9
Range: 0 < y ≤ 3
Solve the equation. y² + 3y - 11 = (y + 2)(y - 4) Select one: a. {2, -4} b. {3/5} c. (3/5, -3/5) d. {-2. 4}
none of the given answer choices {2, -4}, {3/5}, (3/5, -3/5), {-2, 4} is the solution to the equation y² + 3y - 11 = (y + 2)(y - 4).
The equation given is y² + 3y - 11 = (y + 2)(y - 4). To solve it, we need to find the values of y that satisfy the equation.
Expanding the right side of the equation, we have y² + 3y - 11 = y² - 2y - 4y + 8.
Combining like terms, we get y² + 3y - 11 = y² - 6y + 8.
Now, subtracting y² from both sides and combining like terms again, we have 3y + 6y = 8 + 11.
This simplifies to 9y = 19.
Dividing both sides of the equation by 9, we find y = 19/9, which is not one of the answer choices.
Therefore, none of the given answer choices {2, -4}, {3/5}, (3/5, -3/5), {-2, 4} is the solution to the equation y² + 3y - 11 = (y + 2)(y - 4).
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find the ratio (fraction) for Tan H.. I need it fast
Given:
In right triangle \(GHI,m\angle I=90^\circ,GH=7.5,HI=7.2,GI=2.1\).
To find:
The ratio (fraction) for Tan H.
Solution:
In a right triangle,
\(Tan\theta=\dfrac{Perpendicular}{Base}\)
In \(\Delta GHI\).
\(Tan H=\dfrac{GI}{HI}\)
\(Tan H=\dfrac{2.1}{7.2}\)
It can be written as
\(Tan H=\dfrac{21}{72}\)
\(Tan H=\dfrac{7}{24}\)
Therefore, the fraction for Tan H is \(\dfrac{2.1}{7.2}\) or it can be written as \(\dfrac{7}{24}\).
Adjust the window so you can find all of the points of intersection for the system of equations. What are the roots of the original polynomial equation? Check all that apply. –6 0 6 –4 3 8
Answer:
Your answer would be 6, -4, and 3
Step-by-step explanation:
The roots of the original polynomial equation are 6, -4 and 3
How to determine the root of the polynomial?The polynomial equation is given as:
P(x) = (x - 6)(x + 4)(x - 3)
Set the polynomial to 0
(x - 6)(x + 4)(x - 3) = 0
Split the equation
(x - 6) = 0, (x + 4) = 0 and (x - 3) = 0
Solve for x in each split
x = 6, x = -4 and x = 3
Hence, the roots of the original polynomial equation are 6, -4 and 3
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Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation.
Answer:
5
Step-by-step explanation:
6/7 x 5/7 = 35/7
35/7 = 5
How many bars of soap are in each package?
Answer:
3 bars of soap in each packet Pls mark me brainliest
Step-by-step explanation:
question 4 a data analyst creates a scatterplot with a lot of data points. it is difficult for the analyst to distinguish the individual points on the plot because they overlap. what function could the analyst use to make the points easier to find?
The analyst could use the geom_jitter() function to make the points easier to find.
It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
We need to find a function that could the analyst use to make the points easier to find.
We know that overplotting is caused due to discreteness in smaller datasets.
A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.
Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.
Therefore, geom_jitter() make the points easier to find.
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The analyst could use the geom_jitter() function to make the points easier to find.
It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
We need to find a function that could the analyst use to make the points easier to find.
We know that overplotting is caused due to discreteness in smaller datasets.
A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.
Whereas the function geom_point() adds a layer of points to a given plot, which creates a scatterplot.
Therefore, geom_jitter() makes the points easier to find.
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What is the next term of the geometric sequence?
4/9,-4/3,4
The forth term of the sequence will be, -12
Geometric Sequence:
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
In other words, Its a type of sequence in which the ratio between two consecutive term is constant. The constant ratio is known as common ratio.
Example:-
\(a ,ar ,ar^{2} ,ar^{3} ........................\)
where,
a is first term
r is common ratio
Hence,
the general term will be
\(a_{n} = ar^{n-1}\)
Here the given sequence is,
4/9 , -4/3 ,4 .........
First term(a) = 4/9
Common ratio(r) = -3
We have to find the forth term of the sequence
\(a_{4} = ar^{4-1} \\\\ =ar^{3}\)
Substituting the value of a and r we get,
\(a_{4}= 4/9 * (-3)^3\)
= - 4/9 * 27
= -12
thus the forth term of the sequence will be, -12
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
–14, –13, –12, –11, ...
Answer:
\(a_{n}\) = n - 15
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 13 - (- 14) = - 12 - (- 13) = - 11 - (- 12) = 1
this indicates the sequence is arithmetic with nth term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 14 and d = 1 , then
\(a_{n}\) = - 14 + 1 (n - 1 ) = - 14 + n - 1 = n - 15
Last week’s and this week’s daily high temperatures are shown in the table below.
High Temperatures for This Week and Last Week
High Temperatures
This Week (Degrees Fahrenheit)
65
73
73
74
73
75
71
High Temperatures
Last Week (Degrees Fahrenheit)
68
51
62
66
85
72
72
How much greater is this week’s median temperature than last week’s median temperature?
2 degrees
3 degrees
4 degrees
5 degrees
Answer:
5 degrees
Step-by-step explanation:
This week in order:
65, 71, 73, 73, 73, 74, 75 (Median= 73)
Last week in order:
51, 62, 66, 68, 72, 72, 85 (Median= 68)
73-68 is 5
Answer:
5 degrees
Step-by-step explanation:
A set of data is described as: The data is around 20. If another measurement were taken it would probably be around 20. Which group of measures would not lead to this conclusion?
a.) Range- 6
Mode- 20
Median- 20
Mean- 19
b.) Range- 5
Mode- 20
Median- 18
Mean- 18
c.) Range- 7
Mode- 20
Median- 18
Mean- 20
d.) Range- 7
Mode- 19
Median- 20
Mean- 20
Using statistical concepts, it is found that the following option would not lead to this conclusion.
b.) Range- 5
Mode- 20
Median- 18
Mean- 18
-----------------------
The data being around 20 means that the at least one of the mean and the median should be of 20.In options a, c and d, at least one of them are 20.However, in option b, none of them are 20, thus would not lead to this conclusion, and is the answer to this question.For more on statistical measures, you can check https://brainly.com/question/12723657
Consider the function represented by the table.
The ordered pair given in the bottom row can be written using function notation as
f(9)=5.
f(5)=9.
f(5, 9)=14.
f(9, 5)=14.
The ordered pair given in the bottom row can be written using function notation as f(9)=5 thus, option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given,
At x = 9 , f(x) = 5 or f(9) = 5
Hence "The ordered pair given in the bottom row can be written using function notation as f(9)=5".
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Consider the system of equations4x + 9y 165x - 3y 10Multiply every term in the second equation by some number so that the y-terms will have opposite coefficients,Write the new equation
Step 1: Write the system of equations
\(\begin{gathered} 4x\text{ + 9y = 16} \\ 5x\text{ - 3y = 10} \end{gathered}\)Step 2: Using Elimination method
\(\begin{gathered} 4x\text{ + 9y = 16 }\ldots\ldots\ldots\ldots\ldots..(1) \\ 5x\text{ -3y = 10 }\ldots\ldots\ldots\ldots\ldots\ldots(2) \\ m\mu\text{ltiply all equ (1) by coefficient of y in equ (2) and multiply all equ (2) by coefficient oy y in equ (1) } \\ \times\text{ 3 (4x + 9y =16)} \\ \times9\text{ (5x - 3y = 10)} \\ 12x\text{ + 27y = 48 }\ldots\ldots\ldots\ldots\ldots..(3) \\ 45x\text{ - 27y = 90} \end{gathered}\)Hence the new equations are
\(\begin{gathered} 12x\text{ + 27y = 48 } \\ 45x\text{ - 27y = 90} \end{gathered}\)Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.
The given question can be solve using quadratic formula.
The correct option is (c) \(3x^2 +8x -10=-8\).
Given:
The given equation is,
\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)
Write the general quadratic equation.
\(ax^2 + bx +c=0\)
Write the quadratic formula.
\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)
Compare equation (1) and (2).
\(a=3\\b=8\\c=-2\)
Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.
\(3x^2 +8x -2=0\)
Subtract \(8\) from each side of above equation.
\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)
Thus, the correct option is (c) \(3x^2 +8x -10=-8\).
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What is the equation of the line that contains the point (-1, 4) and has a slope of 3?
A four-person crew can put water on the fire how much quicker than a two-person crew?
a) Twice as quick
b) Three times as quick
c) Four times as quick
d) Five times as quick
A four-person crew can put water on the fire twice as quickly as a two-person crew.
The number of crew members directly affects the speed at which they can put water on the fire. In this scenario, we compare a four-person crew to a two-person crew. Assuming that each crew member has the same level of efficiency and skill, the four-person crew will be able to distribute the workload and carry out tasks more efficiently than the two-person crew. This division of labor allows them to cover more ground, coordinate efforts, and execute firefighting tasks more rapidly. As a result, the four-person crew can put water on the fire twice as quickly as the two-person crew.
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As long as N is significanly less than K, logistic growth is indistinguishable from exponential O True O False if dN/dt > 0, then N O equals to zero O decreases O remains stable O increases
The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.
The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."
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Are these utility functions risk-averse on some given interval [a,b] ? a. f(x)=ln(x),g(x)=e^x, h(x)=−x^2
b. f(x)=−ln(x),g(x)=−e^−x, h(x)=−4x^2−10x
c. f(x)=ln(x), g(x)=−1/(e^2x), h(x)=−x^2 + 2000x
d. f(x)=ln(x),g(x)=1/(e^2x), h(x)=−x^2+10,000x
e. f(x)=ln(−2x), g(x)=−1e^2x, h(x)=x^2−100,000x
f. f(x)=ln(−2x),g(x)=−1e^2x, h(x)=x^2−100,000x
The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].
In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.
For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).
On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].
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Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...
Answer:
F(0)= 0, 0
F(3)= -21, 3
F(2)= -12, 2
Step-by-step explanation:
explanation
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 320.38 rupees. If the current
much do the spices cost in U.S. dollars?
$0.04
$4.35
$22.99
$23,595.99
If Porter is visiting India and would like to purchase some local spices. He finds some spices that cost the amount of 320.38 rupees. The amount that spices cost in U.S. dollar is : $4.35.
Amount in U. S dollarGiven data :
Cost of spices = 320.38 rupees
Current exchange rate = 1 dollar : 73.6500 rupees
Now let determine or find the amount in U. S dollar using this formula
Amount in U. S dollar = Cost of spices / Current exchange rate
Let plug in the formula
Amount in U. S dollar = 320.38 / 73.6500
Amount in U. S dollar = $4.35
Therefore the amount is $4.35.
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The complete question is:
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 320.38 rupees. If the current exchange is 1 dollar : 73.65.00 rupees . How much do the spices cost in U.S. dollars?
$0.04
$4.35
$22.99
$23,595.99
$3100 boat; 5.5% sales tax
Answer:
the total cost would be $3270.50
Step-by-step explanation: