The algebraic expression and equation are defined below, the two examples of phrases are "3x+5y" and "2x-7=15", it's translation is explained below.
An algebraic expression is defined as a mathematical phrase that contains numbers, variables, and the number s and variables are joined by arithmetic operations.
An equation, on the other hand, is defined as a statement that shows the equality of two expressions using an equal sign (=).
The two examples of phrases and their translations:
Example(i) : the Algebraic Expression is : 3x + 5y,
The Translation is : The sum of three times the value of x and five times the value of y.
Example(ii) : the Equation is : 2x - 7 = 15,
The Translation is : The difference between twice the value of x and seven is equal to fifteen.
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The given question is incomplete, the complete question is
Define the algebraic expression and equation. Create two examples of phrases and translate.
Frances can complete 919191 oil changes in 777 days.
How many oil changes can Frances complete in 111111 days?
show your work or not
Answer:
Frances will complete 131,444,313 oil changes.
Step-by-step explanation:
919191 oil changes=777days
? =111111 days
=(919191*111111)/777
=131,444,313 oil changes
Which equation is correct?
which equation is correct? a. tanx=1/secx b.sinx=1/cosx c.cscx=1/sinx d.cosx=1/cotx
Answer:
Step-by-step explanation:
csc and sin are inverses of one another, therefore, c is the correct statement.
differentiate. f(y) = 1 y2 − 9 y4 (y + 3y3)
The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.
To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:
f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)
Using the product rule, we can differentiate each part separately:
f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'
The derivative of the first part is:
(1 y^2 - 9 y^4)' = 2y - 36y^3
Now we need to differentiate the second part using the chain rule. Let's call the inner function u:
u = y + 3y^3
Using the power rule, the derivative of u with respect to y is:
u' = 1 + 9y^2
Now we can substitute these values back into our original equation:
f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)
Simplifying further:
f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2
Combining like terms:
f'(y) = -9y^6 - 33y^4 + 84y^2
Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.
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HELP ME RN THIS IS DUE SOON PLEASE
Answer:
4
Step-by-step explanation:
11=4x-5
11+5=4x
16/4=x
x=4
Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.
Answer:
\(x=9.6cm\)
Step-by-step explanation:
\(x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm\)
What percent is represented by the shaded area?
Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?
Answer:
Check Explanation
Step-by-step explanation:
The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.
Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.
These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.
Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.
The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.
Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.
In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.
Hope this Helps!!!
is the measure of how much the values in a data set vary, or deviate, from the mean; it tells us how spread out the data is from the mean.
Answer:
Standard deviation
Step-by-step explanation:
The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.
Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $1040. This year, the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year. How many bats did the team purchase each year?
Answer:
22
Step-by-step explanation:
x = number of bats bought
y = number of gloves bought
20x + 12y = 1040
25x + 16y = 1350
multiply equation 1 by 4 and equation 2 by 3 and then subtract equation 2 from equation 1 :
80x + 48y = 4160
- 75x - 48y = -4050
-----------------------------
5x + 0 = 110
5x = 110
x = 22
just in case also to check how many gloves were bought :
20x + 12y = 1040
20×22 + 12y = 1040
440 + 12y = 1040
12y = 600
y = 50
so, 50 gloves were bought.
A radio station had 175 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
A radio station had 175 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. The radio station gave away 35 tickets to employees.
Let's assume that the radio station gave away "x" tickets to employees. According to the given information, they gave away 4 times as many tickets to listeners as to employees.
So, the number of tickets given away to listeners would be 4x.
The total number of tickets given away is the sum of the tickets given to employees and listeners, which is x + 4x = 5x.
We are also given that the radio station had 175 tickets in total. Therefore, 5x = 175.
To find the value of x, we can solve the equation:
5x = 175
Dividing both sides of the equation by 5:
x = 35.
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please solve for x!!!
Answer:
x = 20
Step-by-step explanation:
The two angles are verticals angles and vertical angles are equal
7x -99 = 2x+1
Subtract 2x from each side
7x-99-2x =2x+1-2x
5x-99 =1
Add 99 to each side
5x-99+99 = 1+99
5x =100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
x=20
set them equal to eac hother
7x-99=2x+1
-2x+99-2x+99
---------------------
5x=100
---- ------
5 5
x=20
i need help with #2 and #6 pleaseeeeee
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
It's asking to find X
Answer: 50 degrees
Step-by-step explanation:
the middle angles are vertical (equal to eachother) so you just have to do 180-80=100 and divided by two is fifty
consider the function f (x, y) = 1 x2 y2. draw a contour map for f (x, y).
A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.
1. On the two-dimensional coordinate plane, create a grid.
2. Give each of the x and y coordinates a value.
3. Determine the value of f (x, y) for every pair of x and y.
4. Plot the grid points based on the values of f. (x, y).
5. To create the contour map, connect the points with equal values along a curved line.
In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.
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What is the name of the green segment in the hyperbola below
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
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Fuel costs have risen quickly during recent years as consumption, refining and production costs have risen sharply. Supply and demand conditions in the perfectly competitive domestic crude oil market are: QS = -250 + 7P (Supply) QD = 260 - 7P (Demand) where Q is quantity in millions of barrels per day, and P is price per barrel. Find the market equilibrium price. Note: To be at equilibrium, QS must equal QD
Answer:
The market equilibrium price is approximately $36.43 per barrel.
Step-by-step explanation:
To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).
Given:
QS = -250 + 7P
QD = 260 - 7P
Setting QS equal to QD:
-250 + 7P = 260 - 7P
Now, let's solve for P:
Add 7P to both sides:
-250 + 7P + 7P = 260 - 7P + 7P
Combine like terms:
14P - 250 = 260
Add 250 to both sides:
14P - 250 + 250 = 260 + 250
Simplify:
14P = 510
Divide both sides by 14:
14P/14 = 510/14
Simplify:
P = 36.43
The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.
In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:
-250 + 7P = 260 - 7P
Simplifying the equation, we get:
14P = 510
Dividing both sides by 14, we find:
P = 36.43
Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.
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the term ________ is best described as a stream of equal installments made at equal time intervals.
The term annuity is best described as a stream of equal installments made at equal time intervals.
An annuity is a term used to define a series of payments of equal size at equal intervals. Equal time intervals such as months, quarters, or years, and uniform payments are the two characteristics that make a series of payments an annuity. Therefore, a series of payments can be an annuity however all series of payments are not annuities. If the series of payments is of different values or at different intervals, it is not considered to be an annuity. An annuity that provides for payments for the remainder of a person's lifetime is known as a life annuity.
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What is the volume of each cube?
a) 10 cm
b) 8.5 cm
Answer:
a) V = 1000 cm³
b) V = 614.125 cm³
Step-by-step explanation:
a) side length a = 10 cm
face diagonal f = 14.142135623731 cm
solid diagonal d = 17.320508075689 cm
surface area S = 600 cm²
volume V = 1000 cm³
___________________________
b) side length a = 8.5 cm
face diagonal f = 12.020815280171 cm
solid diagonal d = 14.722431864335 cm
surface area S = 433.5 cm²
volume V = 614.125 cm³
_____________________________
Formula: V=a³
A water spout is filling a large container with water. After 5 hours the container held 24L of water. After 8 hours the container held 30L of water. At this rate, how much water was in the container at 2 hours?
Answer:
Step-by-step explanation:
This is a direct proportionality. If a water spout is filling a large container with water, hence the time taken to fill the container is directly proportional to the volume v of water. MAthematically;
t = kV
If after 5 hours the container held 24L of water, then;
5 = 24k
k = 5/24
Also if after 8 hours the container held 30L of water
8 = 30k
k = 8/30
To get the rate of the container at 2 hrs
After a data set was partitioned, the first partition contains 43 cases that belong to Class 1 and 12 cases that belong to Class 0, and the second partition contains 24 cases that belong to Class 1 and 121 cases that belong to Class 0.
a. Compute and list the Gini impurity index for the root node. (Round your answer to 4 decimal places.)
b. Compute and list the Gini impurity index for partition 1. (Round your answer to 4 decimal places.)
c. Compute and list the Gini impurity index for partition 2. (Round your answer to 4 decimal places.)
d. Compute and list the Gini impurity index for the split. (Round your answer to 4 decimal places.)
a. The Gini impurity index for the root node is 0.469
b. The Gini impurity index for partition is 0.3208
c. The Gini impurity index for partition 2 is 0.2249
d. The Gini impurity index for the split is 0.2514.
a. The Gini impurity index for the root node can be calculated as follows:
Total cases in both partitions = 43 + 12 + 24 + 121 = 200
Proportion of Class 1 cases in root node = (43 + 24) / 200 = 0.335
Proportion of Class 0 cases in root node = (12 + 121) / 200 = 0.665
Gini impurity index = \(1 - ((0.335)^2 + (0.665)^2) = 0.469\)
b. The Gini impurity index for partition 1 can be calculated as follows:
Total cases in partition 1 = 43 + 12 = 55
Proportion of Class 1 cases in partition 1 = 43 / 55 = 0.782
Proportion of Class 0 cases in partition 1 = 12 / 55 = 0.218
Gini impurity index =\(1 - ((0.782)^2 + (0.218)^2) = 0.3208\)
c. The Gini impurity index for partition 2 can be calculated as follows:
Total cases in partition 2 = 24 + 121 = 145
Proportion of Class 1 cases in partition 2 = 24 / 145 = 0.1655
Proportion of Class 0 cases in partition 2 = 121 / 145 = 0.8345
Gini impurity index =\(1 - ((0.1655)^2 + (0.8345)^2) = 0.2249\)
d. The Gini impurity index for the split can be calculated as follows:
Weighted average of the Gini impurity index for partition 1 and partition 2:
[(55/200) × 0.3208] + [(145/200) × 0.2249] = 0.2514
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Please help me
Which equation below best represents the relationship between corresponding values in the table above?
Answer:
D
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
I was to lazy to provide an explanation
\(\left[\begin{array}{ccc}1&&10\\2&&15\\3&&20\end{array}\right]\)Whats the verbal rule and the tenth term?
Answer:
أنا بصراحة لا أعرف
Step-by-step explanation:
أنا بصراحة لا أعرف
أنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرف
write the largest open interval on which f is the antiderivative for f.
The largest open interval on which f is the antiderivative for f is called the indefinite integral of f, and it is denoted by ∫f(x)dx. This interval can be determined by finding all the antiderivatives of f and then taking the union of their domains. Note that the antiderivative of f is not unique, as it can differ by a constant, so the indefinite integral of f is only determined up to an arbitrary constant.
To find the largest open interval on which a function f is the antiderivative for f', we'll first need to know the function f' (the derivative of f). However, you didn't provide the function f' in your question.
To give you a general idea of how to approach this problem, follow these steps:
1. Given the function f'(x), find the critical points by setting f'(x) equal to 0 and solving for x.
2. Determine the intervals based on the critical points.
3. Check the behavior of f'(x) in each interval to see where it's continuous and increasing.
4. The largest open interval on which f is the antiderivative for f' will be the interval in which f'(x) is continuous and increasing.
If you provide the function f'(x), I can help you find the largest open interval for the antiderivative.
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7 (-2) - 15 =
Find the value of the expression.
Answer:
-29?
Step-by-step explanation:
How do you graph linear inequalities 2x 3y 12?
Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.
let's first try to understand what is linear inequalities?
A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.
the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.
x - coordinate of the given line 2x - 3y =12
y =0 2x = 12 x = 6 (6,0)
y - coordinate of the given line -3y = 12 y = -4 (0,-4)
line passes through (6,0) and (0,-4).
Given Question is incomplete complete Question here:
How do you graph linear inequalities 2x - 3y< 12?
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(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)\)
\(m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}\)
\(m=4\)
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
\(y = mx+b\)
where m is the slope and b is the y-intercept
Given the function
\(g(x) = 2x-7\)
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
\(g(x) = 2x - 7\)
comparing with the slope-intercept form (y = mx+b)
\(y = mx+b\)
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
Which of the following graphs represents the equation y- 4 =3(x-1)
A. Graph A.
B. Graph B
C. Graph
D. Graph D
please help
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
find the y intercept of y=4x-2
Answer:
y intercept: -2
Step-by-step explanation:
hope this helps :)
Answer:
Slope=4 and the intercept on the y-axis is -2
Step-by-step explanation:
Use the formula y=mx+c
m=slope
c is the intercept on the y-axis
y=4x-2 can be like this
Y=4x+(-2)
That is why slope is 4 and intercept on y-axis is -2
:)
If g(x) = −3x + 4, what is the value of g(−3)?
A. 13
B. 5
C. −5
D. -13
Answer:
13
Step-by-step explanation:
g(x) = -3x + 4
g(-3) = -3 × -3+4
g(-3) = 9 + 4
g(-3) = 13 ........
what is the average number of a question
Answer:
Overall, across all grades and subjects, the average test question count is 10, the second favorite number of questions is 5. A major contributor in determining the question count for an assignment is its assessment type.
Hope I helped!! If I did please give brainliest because I cant level up without having 1 more ;(
<3 Enjoy,
Dea
Answer:
that's so ez
Step-by-step explanation:
but idc.......!!!!!!!!