Answer:
Step-by-step explanation:
Step One
The first step is to find the value of n.
h(x) = n(x) + 28
h(3) = 1
That means that 1 is on the left and wherever there is an x on the right, it will have a value of 3
Step Two
Substitute values
1 = n(3) + 28
Step 3
Solve
1 = 3*n + 28 Subtract 28 from both sides
1 + - 28 = 3n Combine
-27 = 3n Divide both sides by 3
-27/3 = 3n/3
- 9 = n
Step 4
Let x = - 6 on the right side of the original equation.
h(-6) = 3*-6 + 28
h(-6) = -18 + 28
Answer
h(-6) = 10
Caroline is the youngest of four siblings whose ages are consecutive odd integers. If
the sum of their ages is 96, find Caroline's age.
Caroline's age is 21 years which is an odd integer.
Integers are a subset of real numbers.
Integers are rational numbers except decimals and fractions.There are 3 types of integers positive , negative and Zero.Positive integers are 3, 6, 789 ...Negative integers are -87, -345, -234 ...Zero integers is 0It is given that Caroline is the youngest of 4 siblings and all of their ages are odd consecutive integers.
Let us consider the age of Caroline's age to be x years(x is an odd integer).
She is the youngest so the sibling's age who is just older than Caroline is given by x+2 which is also another odd integer.
Ages of the other two siblings will be x + 4 , x + 6 .
Now sum of their ages is 96.
Therefore: x + (x+2) + (x+4) + (x+6) =96
or, 4x + 12 = 96
or, 4x = 84
or, x = 21 (odd integer)
Carline's age is 21 years.
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The record high temperature in Green Bay, Wisconsin is 104 degrees, the record low
temperature is -36 degrees.
What is the difference between the record high and record low temperatures?
PLEASEEE I NEED ASAP
Which contributions did Galileo make to the model of the solar system? Select two options.
0 A mathamatical model for the orbits of the planet.
0 scientifically accurate data on planetary orbits
0 data that showed that planets reflected sunlight simular to earths moon
0 the idea that stars are suns that do not move
0 observations of the moons of jupitar rotating rotating around the gas giant.
WHOEVER ANSWERS GETS 1,000 YEARS OF GOOD LUCK. IF YOU CAN'T TELL, IM DESPERATE
Answer: It should be 3 and 5
Step-by-step explanation: I hope this helps <33
a sequence is determined by f (n) = -4 +2n for n > 1. which of the following statements is the recursive definition of f?
f(1)=-2, f(n)=f(n-1)+2 for n>2
f(1)=-4, f(n)=f(n-1)++2n for n>2
f(1)=-2, f(n)=f(n-1)+(-4) for n>2
f(1)=-4, f(n)=f(n-1)+2 for n >2
The statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2 for n > 2
How to determine which of the following statements is the recursive definition of f?The function definition is given as
f(n) = -4 +2n for n > 1
Start by calculating f(2), f(3) and f(4)
So, we have
f(2) = -4 +2(2)
f(2) = 0
f(3) = -4 +2(3)
f(3) = 2
f(4) = -4 +2(4)
f(4) = 4
In the above computation, we can see that the sequence is an arithmetic sequence with a common difference of 2
So, we have
f(n) = f(n - 1) + 2
Also, we have
f(1) = -4 +2(1)
f(1) = -2
Hence, the statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2 for n > 2
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PLEASE HELP ME YOU GET 100 POINTS
Answer: x=36
Step-by-step explanation: a straight line is 180 degrees. on one side, it is 144 degrees. 180-144 = 36.
Find the principal (positivt) square root of 16. If necessary, round the answer
to the nearest hundredth (two decimal places).
Multiply the total (36.45) by 0.07 to find the tax. Then find the total, including tax.
Answer:
39.0015
Step-by-step explanation:
36.45 x 0.07 = 2.5515
36.45 + 2.5515 = 39.0015
Examine the following graph of y=1/4x+2.
If the point (−4,b) is on this line, what is the value of b?
Enter your answer as the correct value, like this: 42
Answer:
b = 1
Step-by-step explanation:
they are asking what is y when x is -4. We can look on the graph and see that when x = -4, when is 1. It is the point (-4,1).
We can also see it algebraically. We can replace x with -4 and solve for y
y = 1/4 x + 2
y = 1/4((-4) + 2
y = -1 + 2
y = 1
2x + 3x = -25
Ingrese su respuesta
Step-by-step explanation:
2x + 3x = -25
5x = -25
x = -25 / 5
x = -5
(01.06 mc) craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, w
The fence is 33 feet long when measured in yards.
Here,
In order to erect a fence around a rectangular flower garden on his property, Craig has 72 feet of material.
If the fence must be 3 feet in width, then, assuming he uses the entire 72 feet of material, we must determine the fence's length in yards.
What is the rectangle's perimeter?
The rectangle's perimeter is 2 (l + b). l being the length. b=breadth (width).
Now,
A rectangular flower bed should be x feet long.
(Length + Width)2 = the perimeter of a rectangular flowerbed.
72 = 2 (x + 3)
36 = x + 3
x = 33 feet
Hence, The fence is 33 feet long when measured in yards.
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Please help soon!!
Asap!
Answer: FIRST ONE IS -1/7
The second one is 1
Step-by-step explanation:
The planet XYZ travels about the star ABC in an orbit that
is almost circular. Assume that the orbit is a circle with
radius 94,000,000 mi. Assume there are 24 hours in one
day on planet XYZ.
(a) Assume that XYZ planet year is 346 days, and find the
angle formed by XYZ's movement in one day.
(b) Give the angular speed in radians per hour.
(c) Find the linear speed of XYZ in miles per hour.
please help me!!!
Answer:
v = 2.33 10⁷ mi / h
Explanation:
For this exercise we must observe that the velocity module is constant, so we can use the kinematic relation v = d / tThe distance traveled in each orbit is the length of the circle L = 2π rThe time it takes in orbit is called period (T)Let's reduce the quantities r = 8.9 10⁷ mi t = 24 h (3600s / 1 h) = 86400 sWe replace v = 2π r / TLet's calculate v = 2π 8.9 10⁷/86400 v = 6.47 10³ mi / s v = 6.47 10³ mi / s (3600 s / 1h) v = 2.33 10⁷ mi / h
there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in 279 inches? enter the answer in the box.
There are 7 meters in 279 inches.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.The number of inches is given to be 279.Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.First of all, we need to convert inches to centimeters.1 inch equals 2.54 centimeters.279 inches equals 2.54*279 centimeters.279 inches equals 708.66 centimeters.Now, we need to convert these centimeters into meters.Meters in 100 centimeters = 1Meters in 1 centimeters = 1/100Meters in 708.66 centimeters = (1/100)*708.66Meters in 708.66 centimeters = 7.0866Thus, there are approximately 7 meters in 279 inches.To learn more about unit conversion, visit :
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what equation is equivalent to 4^x+3=64
Answer:
Step-by-step explanation:
Answer: x=64/7 Step-by-step explanation: 4x+3=64 7x=64
4x=−64
Divide both sides by 4.
x=
4
−64
Divide −64 by 4 to get −16.
x=−16
Need help with this I don’t understand what to do and how to do it helppppp
Answer: In the first graph, you plug in the numbers, so the rule would be "+9" and the term would be 9 for the first one, the second term is 18 and the rule stays the same. In the second one, the rule is that they each go up by (+7)
I hope that helps :)
The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.
Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.
Is 82 a passing score?The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.
There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.
Options for this question are:
Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.Find out more on percentile rank at https://brainly.com/question/24245405
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the area of a rectangle is (x3 – 5x2 3x – 15), and the width of the rectangle is (x2 3). if area
The length of rectangle is (x - 5).
We are given-
Area of rectangle = [tex]x^{3} - 5x^{2} + 3x - 15[/tex]
Width of rectangle = [tex]x^{2} + 3[/tex]
Using the formula, the length will be calculated by rewriting the formula as -
Length = Area/width
Keep the values in formula to find the length of rectangle.
Length = [tex]\frac{x^{3} - 5x^{2} + 3x - 15}{x^{2} + 3}[/tex]
In numerator, separating the common values and rewriting the equation -
Length = [tex]\frac{x^{2} (x - 5) +3 (x - 5)}{x^{2} + 3}[/tex]
Rewriting the equation to for ease of solving to find the length of rectangle -
Length = [tex]\frac{(x^{2} +3)(x - 5)}{(x^{2} +3)}[/tex]
Cancelling [tex](x^{2} + 3)[/tex] as it is common in both numerator and denominator. Now, we will get the value of length of rectangle.
Length = (x - 5)
Hence, the length of rectangle is (x - 5).
The complete question is -
The area of a rectangle is [tex]x^{3} - 5x^{2} + 3x - 15[/tex], and the width of the rectangle is [tex]x^{2} + 3[/tex]. If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
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I need help with this question.
The question is (if you cant see the picture well) :
ANALYZE Determine whether the statement is sometimes, always, or never true. Justify your argument using a counterexample or proof.
In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex.
The statement that "In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex" is always true
How to determine whether the statement is sometimes, always, or never true?The statement is given as:
In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex.
As a general rule;
If any two angles are congruent in a triangle, then it means that the sides that opposite the two congruent angles are congruent sides.
The above is an illustration of the base angle theorem
The base angle theorem goes hand-in-hand with the isosceles triangle theorem which is illustrated by the given statement
Hence, the statement that "In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex" is always true
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Please help me solve this
Answer:
25. 0 < x < 22.9
26. 0 < x ≤ 3.3
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
Question 25
[tex]\begin{aligned}\sf Perimeter & < 51.3\\\implies 14.2+14.2+x & < 51.3\\28.4+x & < 51.3\\28.4+x -28.4& < 51.3-28.4\\x & < 22.9\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x < 22.9$}[/tex]
Question 26
[tex]\begin{aligned}\sf Perimeter & \leq 18.7\\\implies 6.4+4.9+4.1+x& \leq 18.7\\15.4+x& \leq 18.7\\15.4+x-15.4& \leq 18.7-15.4\\x& \leq 3.3\\\end{aligned}[/tex]
[tex]\textsf{As length is positive: $0 < x\leq 3.3$}[/tex]
What is the perimeter of quadrilateral HIJK, with vertices H( – 4,6), I(4,9), J(2,3), and K(7, – 4).
The perimeter of the quadrilateral is approximately 50.47 units
A quadrilateral is polygon which has 4 sides. The perimeter of a quadrilateral is the sum of the side - lengths of all sides of the quadrilateral .the side lengths are calculated by using the distance formula between two points on the cartesian plane which is given by [tex]{\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}.}[/tex]Given the vertices of the quadrilateral: H(– 4,6), I(4,9), J(2,3), K(7, – 4).
Let us calculate the distances of HI , IJ , JK and KH
[tex]{\displaystyle HI={\sqrt {(4-(-4))^{2}+(9-(6))^{2}}}.}[/tex]
or, HI = 17 units
[tex]{\displaystyle IJ={\sqrt {(2-(4))^{2}+(3-(9))^{2}}}.}[/tex]
or, IJ = 10
[tex]{\displaystyle JK={\sqrt {(7-(2))^{2}+(-4-(3))^{2}}}.}[/tex]
or, JK = √74 = 8.602... ≈ 8.60
[tex]{\displaystyle KH={\sqrt {(7-(-4))^{2}+(-4-(6))^{2}}}.}[/tex]
or, KH = √221 = 14.866... ≈ 14.87
Now perimeter = HI + IJ + JK + KH
or, perimeter = 8.60 + 14.87 + 10 + 17 = 50.47 units.
Therefore the perimeter of the quadrilateral is 50.47 units.
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Find the value of x.
S
34°
X =
W
U
S
V
(x + 6)°
(3x - 2)°
HELP EMERGENCY PLSI’ll make you brainlist
Question is …What is the constant proportionality?Write your answer as a whole number or decimal…
Answer:
y=5x
Step-by-step explanation:
He has 10 carrots every 2 square feet
We can simplify it to 5 carrots every 1 square foot and if we put it into an equation with the variables, then we get:
y = 5x
the given equation is either linear or equivalent to a linear equation. solve the equation. (if there is no solution, enter no solution. if all real numbers are solutions, enter reals.)
The given equation has one solution which is x = 6 (which is a REAL number).
What is a solution of linear equation?Linear Equation Solutions are the values of a variables in linear equations that give all possible solutions. Linear equations represent real-world problems by involving unknown quantities with in form with one or more variables.
Some key concepts regarding the solution of linear equation are-
Linear equation solutions are the points where the lines or planes indicating the linear equations intersect or meet. A solution set of a linear equation system is the collection of all possible solutions' values for the variables. While solving linear equations, for example, one can depict the solution of such a system of simultaneous linear equations by having drawn two linear graphs and locating their intersection point.Now, for the given question;
The linear equation is -
4x + 9 = 33
Solving this;
4x = 33 - 9
4x = 24
x = 24/4
x = 6
Therefore, the solution of the given linear equation is (x=6), where 6 is the real number.
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The complete question is-
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
4x + 9 = 33
consider an infinite set of pairwise independent random variables which are uniformly distributed between 0 and 1. what's the expected number that you need to add to get a number that exceeds 1.
When two random variables X and Y are considered to be independent, it means that neither X's distribution nor Y's values have any bearing on the other.
What do you mean by independent random variable?A random variable is a variable used in an experiment, such as the number of coin tosses or card draws. An independent random variable is a random variable in your experiment that doesn't affect the other random variables. In other words, it has no impact on the likelihood that another event will occur. For illustration, suppose you randomly selected 50 bags of sugar from various grocery stores in order to determine the average weight of a bag of sugar. The factors are independent since you wouldn't anticipate the weight of one bag having an impact on another. A dependent random variable, on the other hand, does have an impact on the probability of other random variables.
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ason works on commission and earns $30 for each computer he sells. The store's manager, Sandra, earns a base salary of $1200 a
month plus $15 for each computer she sells. Let J represent Jason's earnings and let S represent Sandra's earnings for selling c
number of computers. Which system best represents this situation?
Answer:
30J + 15S = $1,200
Step-by-step explanation:
Since Jason earns $30 per computer and Sandra earns $15 per computer therefore the equation will be written as $30J + $15S = base salary per month.
30J + 15S = $1,200
A person covers a distance of 1500 meter in 3 minutes.Calculate the speed of a person
Answer:
The person runs 30km/h or 30000m/h
Step-by-step explanation:
First let's find speed per minute
➟ 1500/3
➟ 500
Now let's calculate speed per hour
1 hour = 60 minutes
➟ 500 × 60
➟ 30,000 meters
If you would like the meters to be in miles
then Formula divide the meter value by 1000
➟ 30000/1000
➟30
∴ The person runs 30km/h or 30000m/h
The speed of the person is 300 km/hour.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance covered in 3 minutes = 1500 meters.
1 hour = 60 minutes
3 minutes = 15000 meter
Multiply 20 on both sides.
60 minutes = 300,000 meter
1 km = 1000 meter
Multiply 300 on both sides.
300 km = 300,000 meter
Now,
60 minutes = 300 km
Speed = 300 km/hour
Thus,
300km/hour is the speed of the person.
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Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 -1 2 14 5 29 8 44
The equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4
Linear equationsThe equation of a line in point-slope form is expressed as y = mx + b
where
m is the slope
b is the intercept
Using the coordinate points (-1,-1) and (2, 14)
Slope = 14+1/2+1
slope = 15/3
Slope = 5
For the intercept;
14 = 5(2) + b
14 = 10 + b
b = 4
The y-intercept is at the point (0,4)
Determine the equation
y = mx + b
y = 5x + 4
Hence the equation of the linear function represented by the table below in slope-intercept form is y = 5x + 4
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
(x – 4)² + y² = 36
(x + 6)² + y² = 144
Step-by-step explanation:
All other questions are parabolas!
which expression is equivalent to 4(23)? 4(20 3) 4 left parentheses 20 plus 3 right parenthesis 4(2 13) 4 left parentheses 2 plus 13 wright parentheses 4(20 30) 4 left parentheses 20 plus 30 right parenthses 4(2 3)
4 • 23 = 92 so the correct answer is a 4(20+3).
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Expressions can be simplified to form an answer. For example, 3+6-2 is an expression that can be simplified to 7. There are two different ways to simplify arithmetic expressions and algebraic expressions. We use the bracket open division multiplication addition subtraction rule which means the operations are performed in the given manner to simplify them.
For example, 2x+5x results in 7x, whereas 7ab-b is an expression that has two unlike terms, which cannot be added.
Checking for all the options:
option a) 4 (20+3)=4 * 23 = 92
option b) 4 (2 + 13) = 4 * 15 =60
option c) 4 (20 + 30) = 4 * 50 =200
option d) 4 (2 + 3) = 4 * 5 = 20
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