The form of the linear equation is
\(y=mx+b\)m is the slope
b is the y-intercept
Since the slope of the line is -4, then
m = -4
Since the y-intercept is 3, then
b = 3
Substitute them in the form of the equation above, then
\(y=-4x+3\)The equation of the line is y = -4x + 3
The answer is choice A (1st one)
hello please help thanks
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
dentify the values of `a`, `h`, and `k` in the given function.
`y=\frac{5}{x+6}-2`
The values of a, h, and k are 5, -6 and -2, respectively
Identifying the values in the function.In the given function:
y = 5/(x+6) - 2
The function is in the form of a rational function, f(x) = a/(x-h) + k, where a = 5, h = -6, and k = -2.
Therefore, the values of a, h, and k are:
a = 5 (the numerator of the fraction)h = -6 (the value subtracted from x in the denominator of the fraction)k = -2 (the constant term added or subtracted to the rational function)Read more about function at
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research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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The perimeter of the rectangle below is
118 units. Find the length of side AB
.
This a question about perimeter and equation, let's see how to solve that:
The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:
\(\boxed{AB + BC + CD + DA = 118}\)
We also know other informations: the side AB is equal to \(4y+3\) and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to \(4y+3\) and the side DA is equal to 3y.
Now, we have these datas:
\(AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y\)
Let's do and solve an equation:
\(AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8\)
So, the value of y is 8. Let's replace the value of y in the side AB:
\(4y + 3\\4\times 8 + 3 = 35\)
Therefore, the length of side AB is 35.
The soccer team lost three out of seven games so far this season approximately what percent of games has a team one
Answer:
They won 58% percent of their games
Step-by-step explanation:
3 is about 42% of 7 so just take 100 and subtract 42 to get the percentage of games they won.
WHICH OF FOLLOWING IS NOT POSSIBLE?
O A. AN OBTUSE ISOSCELES TRIANGLE
OB. AN ACUTE ISOSCELES TRIANGLE
OC. AN OBTUSE EQUILATERAL TRIANGLE
OD. AN ACUTE EQUILATERAL TRIANGLE
Answer:
The answer would be C. An obtuse equilateral triangle :)
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn
Answers:
Length = 270 feet
Width = 45 feet
========================================================
Work Shown:
x = width
6x = length, since it is 6 times the width
P = perimeter of rectangle
P = 2*(Length + Width)
P = 2*(6x + x)
P = 2*(7x)
P = 14x
Plug in the given perimeter P = 630 and solve for x.
P = 14x
14x = P
14x = 630
x = 630/14
x = 45
The width is 45 feet.
The length must be 6x = 6*45 = 270 feet.
The required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.
Given that,
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn is to be determined.
Perimeter is the measure of the figure on its circumference.
Here,
let the length be l and the width be w,
According to the question,
l = 6w
and
Perimeter of the lawn = 630
2 [l + w] = 630
2 [6w + w] = 630
14w = 630
w = 45
Now,
l = 45[6] = 270
Thus, the required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.
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solve the given initial value problem for y = f(x). dy 37. = (3 – 2x)2 where y = 0 when x = 0 dx
The solution to the initial value problem is y = -3 / \((3x-x^{2} )^{3}\) , where y = 0 when x = 0.
We can solve this initial value problem using separation of variables. First, we write the differential equation as:
dy/dx = \((3-2x)^{2}\)
Next, we separate the variables by moving all the y terms to one side and all the x terms to the other side:
1/\(y^{2}\) dy = \((3-2x)^{2}\) dx
We integrate both sides with respect to their respective variables:
∫1/\(y^{2}\) dy = ∫ \((3-2x)^{2}\) dx
Applying the power rule of integration on the left-hand side and simplifying the right-hand side by expanding the square, we get:
-1/y = \((3x-x^{2} )^{3}\) /3 + C
where C is the constant of integration. We can solve for C using the initial condition y(0) = 0:
-1/0 = \((3(0)-0^{2} )^{3}\)/3 + C
C = 0
Therefore, the solution to the initial value problem is:
-1/y = \((3x-x^{2} )^{3}\)/3
Multiplying both sides by -1 and taking the reciprocal, we get:
y = -3/ \((3x-x^{2} )^{3}\)
Correct Question :
Solve the given initial value problem for y = f(x). dy/dx = \((3-2x)^{2}\) where y = 0 when x = 0.
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9(x+1)=25+x solve for x
Answer:
x=2
Step-by-step explanation:
you'll have to take my word for it
Which function does the graph represent? f(x) = (x + 3)(x + 7) f(x) = (x – 3)(x – 7) f(x) = 3(x – 3)(x – 7) f(x) = 11(x + 3)(x + 7)
This question is incomplete because it lacks the picture of the graph. Find attached to the answer, the picture of the graph.
Question:
Which function does the graph represent?
a) f(x) = (x + 3)(x + 7)
b) f(x) = (x – 3)(x – 7)
c) f(x) = 3(x – 3)(x – 7)
d)f(x) = 11(x + 3)(x + 7)
Answer:
c) f(x) = 3(x – 3)(x – 7)
Step-by-step explanation:
The function of a graph or the the graph of a function is when
f(x) = y
From the attached graph, after reading it,
They are three specific points on the x - axis, where x = 3 and x = 7, x = 8
So, where x = 3 on the x axis, y =
f(3) = 0
where x = 7 on the x axis, y =
f(7) = 0
So, where x = 8 on the x axis, y =
f(8) = 15
Looking at the options in the question,
a) f(x) = (x + 3)(x + 7)
f(x) = y
where x= 3
f(3) = (3+3)(3+7)
= 60
where x= 7
f(7) = (7+3)(7+7)
= 140
where x= 8
f(8) = (8+3)(8+7)
= 165
This option is wrong
b) f(x) = (x – 3)(x – 7)
f(x) = y
where x= 3
f(3) = (3-3)(3-7)
= 0
where x= 7
f(7) = (7-3)(7-7)
= 0
where x= 8
f(8) = (8-3)(8-7)
= 5
This option is wrong.
c) f(x) = 3(x – 3)(x – 7)
f(x) = y
where x= 3
f(3) = 3(3-3)(3-7)
= 0
where x= 7
f(7) =3(7-3)(7-7)
= 0
where x= 8
f(8) = 3(8-3)(8-7)
= 3(5)(1)
= 15
This option is correct
d)f(x) = 11(x + 3)(x + 7)
f(x) = y
where x= 3
f(3) = 11(3+3)(3+7)
= 660
where x= 7
f(7) = 11(7+3)(7+7)
= 1540
where x= 8
f(8) = 11(8+3)(8+7)
= 1815
Therefore, function the graph represents is Option c) f(x) = 3(x – 3)(x – 7)
Answer: The answer is C. f(x)= 3(x-3)(x-7)
Step-by-step explanation:
¿Si tienes un cilindro de 12 m de diámetro y un prisma de base cuadrada de 12m de lado cual tiene mayor volumen si la altura es la misma?
Select two ways the setting impacts the narrator's experience.
It contributes to his desolate feeling.
It allows for the Raven to heighten the dark mood.
It alters the narrator's perception of time.
It soothes the concerns of the Raven.
It confirms the narrator's disdain for nature.
The setting in the story impacts the narrator's experience in two ways: it contributes to his desolate feeling and allows for the Raven to heighten the dark mood.
The desolate setting in the poem, described as a "midnight dreary" with "bleak December," contributes to the narrator's sense of isolation and sadness. The cold and gloomy environment reflects his inner turmoil and enhances the feeling of despair. Additionally, the dark and somber atmosphere created by the setting provides a perfect backdrop for the mysterious and foreboding presence of the Raven. The Raven's arrival and its interaction with the narrator become even more impactful and chilling due to the already bleak setting.
In conclusion, the setting in "The Raven" influences the narrator's experience by intensifying his desolate feelings and providing a suitable environment for the Raven to heighten the dark mood. The combination of the desolate setting and the presence of the Raven creates a haunting and melancholic atmosphere that contributes to the overall impact of the story.
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I’ll $ashapp you $2 if you can answer the first 3 boxes!!!
Answer:
4
10
10^3
Step-by-step explanation:
Hope this helps .
What is the value of x to the nearest tenth ?
Answer:
C = 14.4
Step-by-step explanation:
The triangle is right angled. So we can use pythagoras' theorem.
a^2 + b^2 = c^2
a^2 + 7^2 = 16^2
a^2 = 16^2 - 7^2
a^2 = 207
a= square root of 207
a= 14 387..
a= 14.4 (1dp)
4(2x-1)+2x+2= 28
solve for X
Answer:
X=3
Step-by-step explanation:
First you can distribute the 4 to 2x-1 making is 8x-4
8x-4+2x+2=28
Now add like terms
8x+2x-4+2=28, 10x-2=28
Add 2 to both sides
10x=30
Divide both sides by 10
x=3
f(x)=2x+3, g(x)=-x^2+5, (f \circ g)(x)
(f ◦ g)(x) = -2x^2 + 11.
What is Composition of two functions ?
The new function obtained by performing f first and then g is the combination of two functions g and f.
The composition of two functions f and g, denoted by (f ◦ g)(x), is defined as the function that maps x to f(g(x)).
Given the functions f(x) = 2x + 3 and g(x) = -x^2 + 5, the composition of these two functions is:
(f ◦ g)(x) = f(g(x)) = f(-x^2 + 5) = 2(-x^2 + 5) + 3 = -2x^2 + 11
So, (f ◦ g)(x) = -2x^2 + 11.
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What’s the answer to this
Answer:
\(\pi = \)
236+453
What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Give your answer rounded to 2 DP.
Answer:
1135.28
Step-by-step explanation:
1102 * (1.02) = 1124.04
1124 * (1.01) = 1135.28
The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)
The type of variable that represents the names of the automobile manufacturers would be the categorical variable.
What are variables in research work?A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.
There are various types of variables that include the following:
categorical variables.Nominal variables. Ordinal variables. Numeric variables. Continuous variables. Discrete variables.Learn more about variables here:
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the grand bakery produces 60 special sourdough rolls every day. any rolls that are not sold each day are given to the employees. they have collected sales data from the past week: day rolls sold 1 50 2 50 3 48 4 60 5 53 6 60 what is the value of f6 if they use a 3-day weighted moving average with w1
Thus, the value of f6 using a 3-day weighted moving average with w1 is 60.
To calculate the 3-day weighted moving average with w1 for the value of f6, we need to first calculate the weighted average for the past three days.
The formula for weighted moving average is:
WMAt = [(P1 * w1) + (P2 * w2) + (P3 * w3)] / (w1 + w2 + w3)
where:
- WMAt is the weighted moving average for time t
- P1, P2, P3 are the values of the variable for the three time periods being averaged
- w1, w2, w3 are the weights assigned to each period (in this case, w1 = 1 and w2 = w3 = 0)
For the past three days, we have:
- Day 4: 60 rolls sold
- Day 5: 53 rolls sold
- Day 6: 60 rolls sold
Using the formula above with w1 = 1 and w2 = w3 = 0, we get:
WMA6 = [(60 * 1) + (53 * 0) + (60 * 0)] / (1 + 0 + 0) = 60
Therefore, the value of f6 using a 3-day weighted moving average with w1 is 60.
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5. Write an equation that models exponential decay.
Answer:
Step-by-step explanation:
y = ab^x where 0<b<1 for exponential decay
an example would be y = 3(1/7)^x
The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z =4
volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).
limits
z= 0 to z = 4-y-2x
y= 0 to y = 4- 2x
x= 0 to x= 2
volume
v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)
v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)
v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)
dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)
v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)
= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0
= [16+ 16/3- 16]
v= 16/3
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Complete Question
Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron
henry's pizza sells pizza by the slice for lunch. an employee recorded how many slices of each type of pizza were sold today.
Onion = 4
Pepperoni = 36
Cheese = 20
Supreme = 6
Veggie = 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?
he experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza is approximately 0.2439 or 24.39%.
To calculate the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza, we need to use the information given about the number of slices of each type of pizza sold today.
The total number of slices sold is:
4 + 36 + 20 + 6 + 16 = 82
The number of slices of cheese pizza sold is 20.
Therefore, the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza is:
Number of slices of cheese pizza sold / Total number of slices sold
= 20/82
= 0.2439
what is number?
A number is a mathematical concept used to represent a quantity or value. It can be used to count, measure, compare, and calculate. There are different types of numbers, including whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers.
Whole numbers are the set of counting numbers (1, 2, 3, ...) plus zero (0). Integers include all whole numbers and their negative counterparts (-1, -2, -3, ...).
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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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find the mean median range and standard deviation 45,48,42,44,35,58,32,60,21,71,59,36,62,8
Answer:
Mean: 4.307
Median: 44
Range: 63
Step-by-step explanation:
i think its correct
Which values are solutions to the inequality?
3r≤4r−6
Select each correct answer.
Responses
r = 4
r = , 4
r = 5
r, = 5
r = 6
r, = 6
r = 7
Answer:
3r < = 4r - 6
3r - 4r < = -6
-r < = -6
r > = 6........it is 6 and 7
Step-by-step explanation:
Answer:
your answer would be 6, and 7.
Step-by-step explanation:
nine more than twice a number is is greater than negative eleven
The expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.
Given,
Nine more than twice a number is greater than negative eleven.
We need to write an expression.
What do the mathematical terms mean?We have,
Twice of M = 2x M
Greater than = >
Negative of M = -M
3 more than M = M + 3
3 less than M = M - 3
We have,
Nine more than twice a number is greater than negative eleven.
Let the number be M.
Twice a number = 2M
Nine more than twice a number = 2M + 9
Greater than negative eleven = > -11
Now,
We have,
2M + 9 > -11
Thus the expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.
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how to count to 20 in spanish?
Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:
1 - uno
2 - dos
3 - tres
4 - cuatro
5 - cinco
6 - seis
7 - siete
8 - ocho
9 - nueve
10 - diez
Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.
11 - once (diez + uno)
12 - doce (diez + dos)
13 - trece (diez + tres)
14 - catorce (diez + cuatro)
15 - quince (diez + cinco)
16 - dieciséis (diez + seis)
17 - diecisiete (diez + siete)
18 - dieciocho (diez + ocho)
19 - diecinueve (diez + nueve)
20 - veinte
As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."
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Answer:
1 uno
2 dos
3 tres
4 cuatro
5 cinco
6 seis
7 siete
8 ocho
9 nueve
10 diez
11 once
12 doce
13 trece
14 catorce
15 quince
16 dieciséis
17 diecisiete
18 dieciocho
19 diecinueve
20 veinte
Step-by-step explanation:
Lin says, "When you add or multiply two complex numbers, you will always get an answer you can write in a + bi
form."
Noah says, "I don't think so. Here are some exceptions I found:"
(7+2)+(3-2) = 10
(2+2)(2+2) = 8i
Check Noah's arithmetic. Is it correct?
O Yes
O No
No, Noah's arithmetic is not correct.
Lin is correct that when you add or multiply two complex numbers, the result can always be written in the form a + bi.
In the first example, (7+2)+(3-2), we can simplify by adding the real and imaginary parts separately: (7+3)+(2-2) = 10 + 0i, which can be written in the form a + bi.
In the second example, (2+2)(2+2), we can expand using FOIL: 2(2) + 2(2i) + 2i(2) + 2i(2i) = 4 + 4i + 4i - 4 = 8i, which can also be written in the form a + bi.
Therefore, Noah's exceptions are not valid, and the statement made by Lin is true.
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