The f -intercepts and r -intercepts of the function are (0, 180) and (6, 0), (-6, 0),(5, 0)
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
The function is f ( r ) = ( r − 6 ) ( r + 3 ) ( r − 1 )
Now,
Substituting r=0 for f -intercept
f(0) = (0-6)(0+6)(0-5)
f(0) = 180
The f-intercept is (0, 180);
Solving for the r-intercepts;
Set the function equal to 0.
0 = (r-6)(r+6)(r-5)
(r-6) = 0
r = 6
(r+6) = 0
r = -6
(r-5) = 0
r = 5
Therefore, the r-intercepts will be (6, 0), (-6, 0), and (5, 0)
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Ionosphere (Aurora)
Mesosphere
90 km
Stratosphere
18 km
Troposphere
50 km
Earth
Ozone
Layer
Tropopause
TASK 1
How much more of the atmosphere is nitrogen than all other
gases combined? Explain how to find the answer.
TASK 2
in the Tronosphere was separated out from
Answer: TASK 1: The answer to how much more of the atmosphere is nitrogen than all other gases combined can be found by measuring the atmospheric composition. Nitrogen makes up the largest fraction of the Earth's atmosphere, at around 78%. Oxygen makes up around 21%, while all other gases make up the remaining 1%. So, nitrogen makes up around 77% more of the atmosphere than all other gases combined.
TASK 2: I'm sorry, but there seems to be a typo in your prompt. Can you please clarify what you meant by "in the Tronosphere was separated out from"?
Step-by-step explanation:
What is the percentage increase in the estimated number of millionaire households from 2017 to 2018 ? Round to the nearest tenth of a percent
Answer:
Step-by-step explanation:
To calculate the percentage increase in the estimated number of millionaire households from 2017 to 2018, we need to follow these steps:
Determine the estimated number of millionaire households in 2017 and 2018. Let's call these numbers A and B, respectively.
Subtract the 2017 number from the 2018 number: B - A = C
Divide the result from step 2 by the 2017 number: C / A = D
Multiply the result from step 3 by 100 to convert it to a percentage: D * 100 = E
Round the result from step 4 to the nearest tenth of a percent.
In this case, we are given the percentage increase, so we can skip steps 1-4 and simply round the given percentage increase to the nearest tenth of a percent.
15. "Twice a number, increased by 13, is -21.“
Answer:
Step-by-step explanation:
(X=the number)
2x+13=-21
(-21)-13=34
34x2=68
5.3A Find Two Numbers Whose Product and Sum is as Indicated
Due to length restrictions, we kindly invite to read the explanation of this question for further details about two numbers related to a given sum and a given product.
How to find a set of two real numbers
In this problem we find 48 case of two numbers that must be found and whose sum and product are given. Mathematically speaking, the expressions describing the problem:
x₁ + x₂ = b
x₁ · x₂ = c
Whose solution can be found by numerical methods.
Now we proceed to determine the values for each cases:
(x₁, x₂) = (6, 1)(x₁, x₂) = (4, 9)(x₁, x₂) = (3, - 2)(x₁, x₂) = (- 4, - 9)(x₁, x₂) = (- 8, 2)(x₁, x₂) = (2, - 2)(x₁, x₂) = (4, - 2)(x₁, x₂) = (- 4, 3)(x₁, x₂) = (- 5, - 4)(x₁, x₂) = (5, - 3)(x₁, x₂) = (6, 2)(x₁, x₂) = (- 2, - 3)(x₁, x₂) = (- 2, - 7)(x₁, x₂) = (2, 8)(x₁, x₂) = (11, - 2)(x₁, x₂) = (5, - 4)(x₁, x₂) = (- 8, 1)(x₁, x₂) = (8, - 3)(x₁, x₂) = (7, 8)(x₁, x₂) = (8, 8)(x₁, x₂) = (6, 4)(x₁, x₂) = (6, 9)(x₁, x₂) = (3 - 2√2, 3 + 2√2)(x₁, x₂) = (9, - 4)(x₁, x₂) = (8, - 7)(x₁, x₂) = (- 4, - 9)(x₁, x₂) = (8, - 2)(x₁, x₂) = (- 9, - 9)(x₁, x₂) = (- 15, 3)(x₁, x₂) = (7, - 6)(x₁, x₂) = (- 7, - 7)(x₁, x₂) = (- 8, - 8)(x₁, x₂) = (12, - 3)(x₁, x₂) = (- 3, - 8)(x₁, x₂) = (4, - 3)(x₁, x₂) = (- 12 - √119, - 12 + √119)(x₁, x₂) = (7, - 4)(x₁, x₂) = (- 6, - 9)(x₁, x₂) = (5, 7)(x₁, x₂) = (- 8, 4)(x₁, x₂) = (- 7, 6)(x₁, x₂) = (5 / 2 + √73 / 2, 5 / 2 - √73 / 2)(x₁, x₂) = (5, 6)(x₁, x₂) = (- 10, 4)(x₁, x₂) = (- 9, 4)(x₁, x₂) = (- 9, 7)(x₁, x₂) = (6, 8)(x₁, x₂) = (- 7, 3)To learn more on real numbers: https://brainly.com/question/24908711
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In a regression equation (linear prediction rule), the "predicted score" for a person with a "predictor variable" score of 0 is 7. In this scenario, what is the "regression constant"?
The required value of "regression constant" is 7.
What is regression equation?Y = a + b X + e is the formula for the regression equation. The dependent variable (Y), which is being predicted or explained, has a value of Y. a, or Alpha, is a constant; it equals the value of Y when the value of X is 0, and b, or Beta, is a coefficient of X; it determines how much Y varies for each unit change in X and determines the slope of the regression line.
According o question:In a linear regression equation, the regression constant (also called the intercept) represents the predicted score when the predictor variable has a value of 0. In this scenario, the predicted score for a person with a predictor variable score of 0 is 7.
Therefore, the regression constant is 7.
The regression constant is usually combined with the regression coefficient of the predictor variable to form the complete regression equation, which is used to predict scores for individuals with different values of the predictor variable.
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mrs.musick splits her students into 2 equal groups. 2/3 of the first group have an A and 40% of second group have an A. what fraction of the class has a A
Hi there, here's your answer:
Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.
Also [tex]\frac{2}{3} rd[/tex] of group A have an A
While 40% of group B have an A
To find:
Fraction of the class that has A
Solution:
First, we find the % of students in group A who have an A:
Since [tex]\frac{2}{3} rd[/tex] of group A have an A,
[tex]\frac{2}{3}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)
[tex]= \frac{100}{3} = 33.33[/tex] (i)
Therefore, % of students in group A who have an A = 33.33%
Now, we find the % of students in group B who have an A:
Since 40% of group B have an A:
[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)
= 4 × 5 = 20 (ii)
Adding (i) and (ii), we get
33.33 + 20 = 53.33%
Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]
Hope it helps! Please mark as Brainliest!
A rectangular field is four times as long as it is wide. If the perimeter of the field is 400 yards, what are the field’s dimensions?
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note the perimeter of the rectangle is:
2 x Length + 2 x Width.
Answer:
2 x Length + 2 x Width.
Step-by-step explanation:
Given the following square, solve for x.
(7x+13) °
Answer:
x = 11
Step-by-step explanation:
square = a plane figure with four equal straight sides and four right angles.
so
7x + 13 = 90
7x = 90 - 13
7x = 77
x = 77 : 7
x = 11
------------------------
check
7 x 11 + 13 = 90
90 = 90
the answer is good
Help me with this question…….
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Lets solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 10[/tex]
[ taking square root on both sides ]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} } = \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm \sqrt{10} [/tex]
Both the values are appropriate here, as the square of both negative or positive value is same [positive value]
[tex] \huge\bold \large \bf{Solution }[/tex]
[tex] \rightarrow \large \displaystyle \sf \: {x}^{2} = 10 \: [/tex]
Transposing square on RHS , We get
[tex]\rightarrow \large \displaystyle \sf \: x \: = \sqrt{10} [/tex]
We know that,
10 does not even have a square root , so,
[tex]\rightarrow \large \displaystyle{\bf{ \pink{x \: = \pm \: \sqrt{10} }}}[/tex]
We know that the value of root is both negative and positive.
Option b is correct answer[tex] \purple {\rule{190pt}{4pt}}[/tex]
A train travelling at 105km/hr goes through a tunnel 1575m long. Calculate in seconds,the time a passenger on the train spends in the tunnel
Correct me if im wrong :)
Equation: -140
Answer: x =
= -10x
=
Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d. Justify your answer.2x + 4y = f
cx + dy = g."
Not quite sure what is meant by the question "what can you say." My only thought so far is that If the system is consistent, that means x and y have the same value for both equations:
x(2 + c) + y(4 + d) = f + g, which, if c = f+g, fits into the form ax + by = c. But that's about it.
We can know that she can be any value but these 15 times the value of C. The given system is consistent to all the possible values of f and g, the reduction of the row of the augmented matrix must not result in the row of form [0 0 ... 0 | b]where B is nonzero.
By looking the row reduction in the system we can see the 2nd row reduces to [0 0 ...0 | d-15c-g+f]. Since f and g can be any values we can make them both 20 which denotes d - 15 C is equals to zero, or d equals to 15C.
d-15c = 0, or d = 15c.
Therefore we can know that she can be any value but these 15 times the value of C.
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Answer Quick
Factor what the image says
Answer:
49u² - 154u + 121 factored is (7u - 11)²
Step-by-step explanation:
To factor the given quadratic expression, 49u² - 154u + 121, rewrite in the form a² - 2ab + b².
Rewrite 49 as 7² and 121 as 11²:
[tex]\implies 7^2u^2-154u+11^2[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^n \cdot c^n=(ac)^n:[/tex]
[tex]\implies (7u)^2-154u+11^2[/tex]
Rewrite 154u as 2 · 7u · 11 :
[tex]\implies (7u)^2-2 \cdot 7u \cdot 11+11^2[/tex]
Compare with the form a² - 2ab + b²:
a = 7ub = 11Apply the perfect square formula: a² - 2ab + b² = (a - b)²
[tex]\implies (7u)^2-2 \cdot 7u \cdot 11+11^2=(7u-11)^2[/tex]
If one factor of 2 numbers is 2860 is 13,what is the other factor
The factors of numbers let us know that the other factor of 2860 is 220.
Factors of a number.Multiples and factors are connected to one another. The number that divides a given quantity exactly, leaving no residue, is said to be a factor of the quantity.
We may write a × b = c to represent any given integer. c is a multiple of "a" and "b". "a" and "b" are factors of c according to the concept of factors and multiples since c may be divided by both a and b.
Given there are two numbers in which one factor is 13 and the multiple is 2860, then we can write it as:
13 × b = 2860
where;
b = the other factor
b = 2860/13
b = 220
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
4 is subtracted from the product of 5 and a number.
I need answer
The mathematical Expression is 5x- 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
We have the unknown variable x.
4 is subtracted from the product of 5 and a number.
Now, Translating the word problem (sentence) into an algebraic expression, we get
= 5x - 4
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darius spend 35% of his time doing math homework. Alex spends 2/5 of his time doing math homework. Who spend more home work time on math. explain
Answer:
Alex spends more time 2/5 of 100 is 40%
What is the correct answer answer asap for brainlist
According to the information, it can be inferred that the option that the quote explains is: The outcome... is situational irony because the opposite of what was expected is what happening.
How to identify the correct option that explains the quote?To identify the correct option that explains the quote we must read the text carefully and the options. Once we have read and understood this information, we can infer which option explains the quote.
In accordance with the above, option A would be the one that explains the quote because options B and C by discarding are fragments of the quote. So these fragments could not explain the same quote that is being used in the text. On the contrary, the paragraph of option A does explain the situation clearly.
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Find the echelon form of this augmented matrix, written so there are 1's on the diagonal. 1 - 1 2 400 100 900 1 -3 7 - 300
To find the echelon form of the augmented matrix, we will use row operations to transform the matrix into a triangular form.
How to solve for the matrix
Starting matrix:
[ 1 -1 2 | 400 ]
[100 900 1 | -3 ]
[ 1 -3 7 | -300 ]
Subtracting the first row from the second and third rows, respectively:
[ 1 -1 2 | 400 ]
[ 0 901 -199 | -403 ]
[ 0 -2 5 | -700 ]
Dividing the second row by 901 to get a leading 1:
[ 1 -1 2 | 400 ]
[ 0 1 -199/901 | -403/901 ]
[ 0 -2 5 | -700 ]
Adding 2 times the second row to the third row:
[ 1 -1 2 | 400 ]
[ 0 1 -199/901 | -403/901 ]
[ 0 0 5 - (2*199/901) | -496/901 ]
Dividing the third row by 5 to get a leading 1:
[ 1 -1 2 | 400 ]
[ 0 1 -199/901 | -403/901 ]
[ 0 0 1 - (2*199/901) | -496/901 * (1/5) ]
Subtracting 2 times the third row from the second row:
[ 1 -1 2 | 400 ]
[ 0 1 0.12985349611 | -1.45323773515 ]
[ 0 0 1 - (2*199/901) | -0.21964542252517706 ]
Subtracting 2 times the third row from the first row:
[ 1 -1 0.640177312 | 1.82816635434407 ]
[ 0 1 0.12985349611 | -1.45323773515 ]
[ 0 0 1 - (2*199/901) | -0.21964542252517706 ]
This is now in row echelon form with 1's on the diagonal. Therefore, the echelon form of the given augmented matrix is:
[ 1 -1 0.640177312 | 1.82816635434407 ]
[ 0 1 0.12985349611 | -1.45323773515 ]
[ 0 0 1 - (2*199/901) | -0.21964542252517706 ]
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What is the average speed of a car that traveled 300 miles in 5.5 hours? Round answer to the nearest hundredths
place.
O 150 mph
O 54.54 mph
Answer: 54.54 mph
Step-by-step explanation: To calculate the average speed of a car that traveled 300 miles in 5.5 hours, you can divide the total distance traveled by the total time taken: Average speed = Total distance / Total time-average speed = 300 miles / 5.5 hours = 54.55 miles per hour (mph)So, the average speed of the car is 54.55 mph.
solve for x
....................
The solution of x in the rhombus is 3
How to determine the solution of x in the shapeFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
LN = 14
AN = x + 4
Using the above as a guide, we have the following equation:
LN = 2 * AN
substitute the known values in the above equation, so, we have the following representation
2 * (x + 4) = 14
Evaluate the expression
x + 4 = 7
Subtract 4 from both sides
so, we have the following representation
x = 3
Hence, the solution is 3
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Help with question 12 (a & b):
A beginning employee will produce 3 items per day
An experienced employee will produce 17 items per day
The number of items per dayBeginning employee
From the question, we have the following parameters that can be used in our computation:
[tex]P\left(d\right)=3\ +\ 15\left(1-e^{-0.2d}\right)[/tex]
Next, we plot the graph (see attachment)
A beginner employee is represented as d = 0
From the graph, we have
P(0) = 3
An experienced employee
Using the graph as a guide, we have
The maximum number of production approximates to 17
This represents the number of items per day for an experienced employee
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Solve the question with Steps
The solution of the question sin(50)sin(80)cos(50)cos(80) is cos^2(80o), the correct option is D.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
Given;
sin(50)sin(80)cos(50)cos(80)
Now,
=sin(20°)cos(80°) – cos(20°)sin(80°)
=sin(A-B) = sinA.cosB – cosA.sinB
=sin(20°-80°)
=sin(-60°)
=cos^2(80o)
Therefore, by trigonometry the answer will be cos^2(80o).
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Distance formula is D=~^ (X2-X1)*2 + (Y2- Y1)*2
pls help!
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P1(\stackrel{x_1}{6}~,~\stackrel{y_1}{3})\qquad P2(\stackrel{x_2}{-3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ P1P2=\sqrt{(~~-3 - 6~~)^2 + (~~5 - 3~~)^2} \implies P1P2=\sqrt{( -9 )^2 + ( 2 )^2} \\\\\\ P1P2=\sqrt{ 81 + 4 } \implies P1P2=\sqrt{ 85 }[/tex]
Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14). If necessary, round to three decimal places
The statistical measurement known as the Z-score describes the connection between a value and the mean of a set of values and the required z-score to the three decimal places is −2.714.
What is the z-score?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score.
Standard deviations from the mean are used to measure Z-score.
A Z-score of zero means the data point's score is the same as the mean score.
Your observed value is 2.5 standard deviations from the mean if your Z-score is 2.5, and so on.
Your value is more closely aligned with the mean the closer your Z-score is to zero.
Your value is further from the mean the farther your Z-score is from zero.
So, let's say Rosetta wins the game on Thursday with 110 points.
When x=110, the z-score is -2.714.
The average is 148.
You can see from this z-score that x=110 is 2.714 standard deviations away from the mean.
This formula can be used to determine the z-score:
z = x−μ/σ
=110−148/14
=−38/14
≈−2.714
Therefore, the required z-score to the three decimal places is −2.714.
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Show the expression ^2−−6 in factored form and explain what the solution would mean for the equation.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
What is Factoring an expression?
A numerical or algebraic expression is factored when it is written as a product of factors. The distributive property can be used to factor expressions.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
The solutions for this equation would be x = √6 or x = -√6. These are the values of x that make the expression equal to zero.
Factoring the expression in this way can be useful in solving related equations or in finding the roots of a quadratic function. It also helps in visualizing the graph of the function, as the factored form shows the x-intercepts, which are the points where the graph crosses the x-axis.
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Find the dimensions of a rectangular Persian rug whose perimeter is 22 ft and whose area is 10 ft squared
rectangular Persian rug's measurements are 10 ft in length and 1 ft in width.
How to calculated dimensions of a rectangular Persian rug?Let's say that the Persian rug is rectangular, with length "l" and width "w".
The total of a rectangle's four sides is known as the perimeter, and it can be calculated as follows:
Perimeter = 2l + 2w
Given that the distance around it is 22 feet, we can write:
2l + 2w = 22
When we simplify this equation, we obtain:
l + w = 11
A rectangle's area is determined by the product of its length and breadth, which may be written as follows:
l x w = area
Given that the space is 10 square feet, we can write:
l x w = 10
Two equations with two variables are now available:
L+W = 11, and L x W = 10.
To find l and w, we can utilise substitution or elimination. For instance, we can solve for w from the first equation in terms of l:
w = 11 - l
Using this expression as w's replacement in the second equation, we obtain:
l x (11 - l) = 10
The result of expanding and rearrangement is a quadratic equation:
l² - 11l + 10 = 0
Using the quadratic formula or factoring, we can solve this quadratic problem. Factoring results in:
(l - 10)(l - 1) = 0
so either l = 10 or l = 1 is true.
w = 1 if l = 10, otherwise. w equals 10 if l = 1.
As w is always smaller than l, we have
The rectangular Persian rug's measurements are 10 ft in length and 1 ft in width.
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9.5 less than a number n equals 27
Answer:
N-27 = 9n + 5
Step-by-step explanation:
write equation to the word sentence 9.5 less than a number n equals 27 the answer n-27 = 9n + 5 that is posted to this question on your website is wrong according to my homework check.
For example:The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5
Given that,
A statement,
"9.5 less than a number n equals 27"
To solve for the value of "n",
we can start by subtracting 9.5 from both sides of the equation,
9.5 less than a number n = 27
So, it can be written as,
n - 9.5 = 27
n = 36.5
Therefore, 9.5 less than a number n equals 27 the answer n-27 = 9n + 5
(1 point) Find an equation of a line perpendicular to 2 = 10 and passing through the point (3,2). The line is
An equation for a line perpendicular to the line 2 = 10 can be found by finding the slope of that line and then finding the slope of the perpendicular line. The slope of the line 2 = 10 is 0, so the slope of the perpendicular line would be undefined.
The equation of a line with slope m passing through the point (x1, y1) can be written in the form:
y - y1 = m(x - x1)
Since the slope of the line is undefined, the equation of the line would be in the form:
x - x1 = constant
To find the equation of the line that passes through the point (3, 2), we substitute the values into the equation:
x - 3 = constant
So the equation of the line that is perpendicular to the line 2 = 10 and passes through the point (3, 2) is:
x - 3 = constant
or simply:
x = 3.
The figure below shows a rope that circles the Earth. The radius of the Earth is
6371
63716371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.
Answer:
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Where r is the radius of the circle.
Plugging in the value for the radius of the Earth, we have:
Circumference = 2π(6371 km) = 12,742 km
So the length of the rope, assuming it makes a perfect circle around the Earth, would be 12,742 km = 2π(6371) kilometers.
Step-by-step explanation:
If it takes 6 people 8 hours to finish the job, how long would it take 4 people?
12 hours
If it takes 6 people 8 hours to finish a job, then 24 would take 2 hours, and then 4 would take 12 hours
Answer:
5.333 hours.
Step-by-step explanation:
Put this on a chart:
6 people = 8 hours
4 people = ? hours
To find ? Use crisscross multiplication and solve:
? = (4 * 8) / 6
? = 32 / 6
? = 5.333
Therefore, if it takes 6 people 8 hours to finish a job then it will take 5.333 hours for 4 people to finish a job.
