An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.
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please help me on this
Answer:
answe are ,
1). (n+10)
2) (3n+4)
3). (7x -9)
4). (x+6)
5). (5x+2)
6). (x+10)
A current of 2.5 A delivers 3.5 of charge
1 Ampere = 1 Coulomb of charge per second
2.5 A = 2.5 C of charge per second
Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)
Time = (3.5 / 2.5) (C / C-sec)
Time = 1.4 sec
A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.
Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.
The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H
Midpoint of a line is a point that divides a line into two equal parts.
If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:
\(M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\\)
Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4
\(X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1\)
Get the coordinates Y:
\(Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3\)
This shows that the coordinate of E will be (1, -3)
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g a biker is riding along a trail at 13ft/s . she spots an aspen tree that is 15 feet away from a traffic cone located along the trail at the shortest distance from the trail to the aspen tree (see diagram). how fast is the angle between her line of sight and the trail changing when she is 25 feet away from the tree?
Therefore, the angle between the biker's line of sight and the trail is changing at a rate of approximately 0.039 radians per second when she is 25 feet away from the tree.
To solve this problem, we need to use trigonometry and calculus. Let's call the angle between the biker's line of sight and the trail θ, and let's call the distance from the traffic cone to the aspen tree x. Then we can use the tangent function to relate θ and x:
tan(θ) = x/15
We can also use the Pythagorean theorem to relate x and the distance d between the biker and the tree:
d^2 = x^2 + 25^2
Taking the derivative of both sides with respect to time t, we get:
2d (dd/dt) = 2x (dx/dt)
Now we can substitute the equation for x in terms of θ and solve for (dθ/dt):
tan(θ) = x/15
sec^2(θ) (dθ/dt) = (1/15) (dx/dt)
(dθ/dt) = (1/15) (dx/dt) sec^2(θ)
We can use the equation for d to solve for x:
x^2 = d^2 - 25^2
2x (dx/dt) = 2d (dd/dt)
(dx/dt) = (d/dd) (sqrt(d^2 - 25^2)) (dd/dt)
(dx/dt) = (d/ sqrt(d^2 - 25^2)) (dd/dt)
Now we can substitute this expression for (dx/dt) into the previous equation and evaluate it when d = 25 and θ = arctan(15/25):
(dθ/dt) = (1/15) [(d/ sqrt(d^2 - 25^2)) (dd/dt)] sec^2(arctan(15/25))
(dθ/dt) = (1/15) [(25/ sqrt(25^2 - 25^2)) (13)] sec^2(arctan(15/25))
(dθ/dt) = (13/375) sec^2(arctan(15/25))
(dθ/dt) ≈ 0.039 radians per second
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Meghan sells handmade sweaters and hats at her store. Let A represent the event that a randomly selected customer buys hat, and let B
represent the event that a randomly selected customer buys a sweater.
What does the notation P(AJB) represent in terms of the context?
A the probability that a customer buys a hat or a sweater
B the probability that a customer buys both a hat and a sweater
C the probability that a customer buys a hat given that the customer has bought a sweater
D the probability that a customer buys a sweater given that the customer has bought hat
Answer:
Step-by-step explanation:
C the probability that a customer buys a hat given that the customer has bought a sweater.
Solve 2k-3(4-k)=3k+4.
Answer: what he said^
Step-by-step explanation: i like the points
use the Simplex method to find the minimum value of the objective function w = 9x1 + 6x2 Subject to the constraints: x1 +2x2 ≥ 5 2x1 + 2x2 ≥ 8 2x2 +x2 ≥ 6 Where x1 ≥ 0 and x2 ≥ 0
The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.
Our problem can be rewritten as follows:
Minimize w = 9x1 + 6x2
Subject to:
x1 + 2x2 + x3 = 5
2x1 + 2x2 + x4 = 8
x1 + 2x2 + 2x3 = 6
where x1, x2, x3, and x4 are all non-negative variables.
Next, we set up the initial simplex tableau:
Basic Variables x1 x2 x3 x4 RHS
x3 1 2 1 0 5
x4 2 2 0 1 8
x5 1 2 2 0 6
z -9 -6 0 0 0
The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.
To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.
To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:
Row 1: 5/1 = 5
Row 2: 8/2 = 4
Row 3: 6/1 = 6
The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.
To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:
Basic Variables x1 x2 x3 x4 RHS
x3 0 1 1 -1 1
x1 1 1 0 1/2 4
x5 0 1 2 -1 2
z 0 -3 9 9/2 -18
We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.
Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.
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Which tatement correctly compare the meaure of center of the data in the dot plot
A statement that correctly compares the measures of center in the two sets of data is: Both the mean and median are greater for Plot A than for Plot B.
The correct answer is an option (A)
Consider plot A.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 6, 6, 7, 7, 10
Using the formula of mean, the mean of Plot A would be:
mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10
mean = 57/10
mean = 5.7
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 6)/2
= 11/2
= 5.5
Consider plot B.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 5, 6, 6, 6, 7
mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/10
mean = 51/10
mean = 5.1
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 5)/2
= 5
Hence, both the mean and median are greater for Plot A than for Plot B.
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The complete question is:
Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.
PLEASE HELP ASAP!! Giving all the points I can!!
Which is an example of a sensitive survey question?
In what city do you live?
How often do you use social media?
What is your weight?
How many hours of sleep do you usually get?
Answer: I would have to say in what city do you live.
Step-by-step explanation: I agree with this because surveys usually ask what state instead of city i would feel really weird and uncomfortable knowing that a complete stranger knows the city where i live.
Answer: C) What is your weight?
Step-by-step explanation: A sensitive survey question is one that might make the respondent feel uncomfortable, embarrassed, offended, or threatened. A sensitive question could also reveal personal or private information that the respondent might not want to share with others. A sensitive question could affect the quality and validity of the survey data, as the respondent might refuse to answer, lie, or give a socially desirable response.
The question “What is your weight?” is an example of a sensitive question because it could make the respondent feel self-conscious, ashamed, or judged about their body image. It could also reveal information that the respondent might consider personal or confidential. The question might discourage some respondents from participating in the survey or influence them to give inaccurate or misleading answers.
The other questions are not examples of sensitive questions because they are unlikely to cause discomfort, embarrassment, offense, or threat to the respondent. They are also unlikely to reveal personal or private information that the respondent might not want to share. The questions are relatively neutral and objective and do not touch on sensitive topics such as religion, politics, sexuality, health, income, etc.
Brainliest please?What is the slope of line that passes through points (-6,-7)and(-24,7)write your answer in simplest form
Answer:
-7/9
Step-by-step explanation:
the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.
Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.
The 'rise' of this line is 7 - (-7), which equals 14
The 'run' would then be -24 - (-6), which equals -18
Thus the slope is 14/(-18). Reducing this fraction gives us an answer of -7/9.
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80). What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J? x = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 (40, 96) (85, 105) (80, 104) (96, 72).
The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is (85, 105).
Given
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
CoordinatesThe coordinates point any point can be found by using the following formula.
\(\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1\)
The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;
\(\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ X = \dfrac{3}{3+5}(-40-160)+160\\\\ X = 3 \times (-25)+160\\\\\X = -75+160\\\\ X = 85\\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\ Y=\dfrac{3}{3+5}(80-120)+120\\\\Y =- 3\times 5 +`120\\\\Y=-15+120\\\\Y=105\)
Hence, the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is (85, 105).
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Answer:
B
Step-by-step explanation:
The Post Office delivers packages everyday. They notice that 5 out of every 20 packages weigh over 8 pounds. What percent weigh over 8 pounds?
PLZZZ HELP- O.O
A toy rental store charges a $100 anual fee, then $5 for each toy you rent. What is the average cost per toy if you rent 20 toys in a year?
Answer:
the answers 200
Step-by-step explanation:
Answer:
200$
Step-by-step explanation:
for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$
What is the solution for the system of linear equations shown in the graph?
a coordinate grid with one line that passes through the points 0 comma 0 and 1 comma 3 and another line that passes through the points 0 comma 2 and 1 comma 1
negative one half comma one half
one half comma three halves
three halves comma one half
three halves comma three halves
To find the solution for the system of linear equations shown in the graph, we need to find the point of intersection of the two lines.
The first line passes through the points (0,0) and (1,3). We can find the equation of this line using the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line can be found using the two given points:
m = (y2 - y1) / (x2 - x1)
m = (3 - 0) / (1 - 0)
m = 3/1
m = 3
The y-intercept of the line is (0,0), so b = 0.
Therefore, the equation of the first line is:
y = 3x
The second line passes through the points (0,2) and (1,1). We can find the equation of this line using the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line can be found using the two given points:
m = (y2 - y1) / (x2 - x1)
m = (1 - 2) / (1 - 0)
m = -1/1
m = -1
The y-intercept of the line is (0,2), so b = 2.
Therefore, the equation of the second line is:
y = -x + 2
To find the point of intersection of these two lines, we can set their equations equal to each other:
3x = -x + 2
Solving for x, we get:
4x = 2
x = 1/2
Substituting x=1/2 into either equation, we can find y:
y = 3x
y = 3(1/2)
y = 3/2
Therefore, the point of intersection of the two lines is (1/2, 3/2).
So, the solution for the system of linear equations shown in the graph is:
x = 1/2
y = 3/2
Therefore, the correct response is:
one half comma three halves
I'm very confused on how to even figure out the question and what I'm supposed to do
I was gone when we where learning this
Answer:
To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations. I hope this helped!
Helpppp meee pleaseee
Answer:
Refraction trust me I am in high school biology
Step-by-step explanation:
I looked it up it said the reflection hope its right
How much of a circle does a 100-degree angle turn through?
1
100
180
50
c
360
100
360
let x denote t he subset (-1, 1) x 0 of r2 , and let u be the open ball b(o; 1 ) in r2 , which contains x. show t here is no e > 0 such that the e-neighborhood of x in rn is cont ained in u
The statement that no ε > 0 such that the e-neighborhood of x in rn is cont ained in u is true, and no such ε exists.
To show that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is contained in the open ball B(o; 1), we can consider the point y = (0, ε/2) in ℝ^2.
Since y lies on the y-axis and has a positive y-coordinate, it is in the ε-neighborhood of x. However, y does not lie within the open ball B(o; 1) since its distance from the origin o is √(0^2 + (ε/2)^2) = ε/2, which is less than 1.
Therefore, for any ε > 0, there exists a point y in the ε-neighborhood of x that is not contained in the open ball B(o; 1). This implies that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is entirely contained in B(o; 1).
Hence, we have shown that the statement is true, and no such ε exists.
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please answer fast!!!!
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 130 and a standard deviation of 10. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 120 and 140?
Answer:
Average systolic would be 130
and a positive constant binomial (x 5) is a factor of x2 8x 15. what is the other factor? (x 3)(x 7)(x 12)(x 13)
To find the other factor when (x-5) is a factor of the quadratic expression \(x^2 - 8x + 15\), we can use polynomial division or factoring techniques.
We can perform polynomial division as follows:
\(x - 5 | x^2 - 8x + 15\)
\(- (x^2 - 5x)\)
---------------
-3x + 15
- (-3x + 15)
---------------
0
The result of the division is 0, which means that (x-5) evenly divides \(x^2 - 8x + 15\). Therefore, the other factor is the quotient obtained during the division, which is x - 3.
So, the two factors of \(x^2 - 8x + 15\) are (x - 5) and (x - 3).
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Using your knowledge of prime factorisation, find “m” if 3x m3 = 375
(Show sufficient workings)
Answer:
is 300 trust me
Step-by-step explanation:
Evaluate 5a+ 4b2 when a = 7 and b = 6
Answer:
179
Step-by-step explanation:
5a+ 4b^2
Use PEMDAS:
P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction
5(7) + 4(6)^2 = 5(7) + 4(36) = 35 + 144 = 179
6^2 = 6 x 6 = 36
5 x 7 = 35
4 x 36 = 144
if this is correct please give me Brainliest.
A plant is already 9 centimeters tall, and it will grow one centimeter every month.
Let be the plant's height (in centimeters) after months.
Write an equation relating to . Then graph your equation using the axes below.
Answer:
p + (m × 1) = t
If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:
(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)
p + (m × 1) = tTherefore, the equation you can use is p + (m × 1) = t.
18+343334333544/5
need help on other questions too
Answer:
68666866726.8
Step-by-step explanation:
69 students bought tickets to a concert. The students made up 46% of the total amount of people. How many people were at the concert
Answer:
150
Step-by-step explanation:
Answer:
150 people
Step-by-step explanation:
If you turn 69/150 into a percent it will in fact give you 46%
Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sentence is given below.
One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.
Convert the sentence into an expression. Then we have
⇒ (1/14)x³y + (3/14)xy²
Simplify the expression, then we have
⇒ (1/14)x³y + (3/14)xy²
⇒ (1/14)xy ·[x² + 3y]
The equation that represents the sentence will be (1/14)xy ·[x² + 3y].
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FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1
Answer:
y
\( y2 - 2y - 3\)
\((y - 1)(y + 3) \)
\((3y - 1)(3y + 3)\)
Step-by-step explanation:
you multiple the 3 with the 1
then factor
then divide by 3 again but the denominator goes in front of the y.
India bought a bag of grapes that weighed 3 pounds, 5 ouncesShe already had a bag at home that weighed pound, 12 ounces. How many pounds/ ounces of grapes does she have altogether?
Answer:
4Pounds 1ounce
Step-by-step explanation:
First bag is 3pound 5ounces
Second bag 12ounces
Add both
3 Pounds and 17ounces
16ounces make 1Pound so 17ounces becomes 1Pound and 1ounces
Add to the 3Pounds
You have 3 Pounds + 1 Pound 1ounce
100 points crown if you answer all of these and explain your answer
The angles of a triangle are equal to 5x + 10, 8x − 20 and 3x + 30. Find the value of x
The acute angles of a right triangle measure (48 − x ) and (3x − 10). What is the value of
Triangle ABC is a right scalene triangle. If ∠ = 72°, what is the measure of ∠A?
An obtuse isosceles triangle contains an angle that measures 162°. What is the measure of another interior angle within this triangle?
The angles of a triangle are equal to 5x, 2x + 8, and 3x + 12. What is the measure of the smallest angle of the triangle?
The angles of a triangle are equal to x, x + 4 and 20. What is the measure of the largest angle of the triangle?
Answer:
Step-by-step explanation:
Answer: He will need 49 tiles.
Step-by-step explanation:
Given: The patio will measure 13.5 feet by 43 feet.
Area of patio = 13.5 feet x 43 feet [Area = length x width]
= 580.5 sq. feet
Since area of each concrete tile = 12 sq. inch
Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)
= 580.5 ÷ 12
= 48.375 sq. inch ≈49
please someone help me asap i will give brainliest to correct answer!
Answer:
C
Step-by-step explanation:
it's c because this is a false statement, which means that the original statement is also a false one
so it doesn't have any answer