We may multiply the y-values by -1 to flip the graph of y = (x - 2)^3 + 5 vertically. This will display the graph along the x-axis. The inverted graph's equation is y = -((x - 2)^3 + 5).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
To flip the graph of y = (x - 2)^3 + 5 vertically, we can multiply the y-values by -1. This will reflect the graph across the x-axis. The equation for the flipped graph is: y = -((x - 2)^3 + 5).
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The compound shape below is formed from a rectangle and a sector of a circle. Calculate the area of the compound shape. Give your answer in cm² to 1 d.p.
The area of the compound shape is given as follows:
154.2 cm².
How to obtain the area of a compound shape?The shape is composed as follows:
Rectangle with side lengths 8 cm and 13 cm.Sector of a circle, 41º when an entire circle is composed by 360º, with a radius of 4 cm.For the rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 13
Ar = 104 cm².
For the circle, the area is given by the multiplication of pi = 3.14 by the radius squared, hence:
Ac = 3.14 x 4²
Ac = 50.2 cm².
Hence the total area is given as follows:
A = Ar + Ac
A = 104 + 50.2
A = 154.2 cm².
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Which has a greater mass 9kg or 4.2 oh how much greater
Is 9 kg bigger than 4 pounds? Nine kilograms is definitely heavier, as one kilogram is equivalent to 2.2 pounds.
Please help me I’m begging you I’m so confused
Isosceles triangles have two equal angles. The two equal angles are the bottom left and bottom right.
X = 28
Y = 152
See picture for explanation
- Jeron
what is x-5>-12 solve for x
Answer:
x>-7
Step-by-step explanation:
x-5>-12
x>5-12
x>-7
x > -7.
Step-by-step explanation:1. Write the expression.[tex]x-5 > -12[/tex]
2. Add "5" ob both sides of the equation.[tex]x-5+5 > -12+5\\ \\x > -7[/tex]
3. Verify your answer.If x >-7 is the correct answer, then substituting x by "-7" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).
Substituting:
[tex](-7)-5 > -12\\ \\-12 > -12[/tex]
That's correct! x > -7 is the correct answer.
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If the side of a square is increased by 5 units, the area is increased by 4 square units. Find the length of the sides of the original square.
The length of the sides of the original square is -2.1 unit²
How to solve an equation?An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.
Let l represent the original side and A represent the original area. Hence:
Area = length * length
A = l * l
A = l²
The side of a square is increased by 5 units, the area is increased by 4 square units. Hence:
A + 4 = (l + 5) * (l + 5)
A + 4 = l² + 10l + 25
but A = l², hence:
l² + 4 = l² + 10l + 25
l = -2.1 units
The length is -2.1 unit²
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Please help asap!!
Try ur best <3
• will give u brainliest
The domain and range of this relation should be stated as follows;
Domain = {3, 3}.
Range = {1, ∞}.
Function: No.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
In this scenario, the points on this graph are given by the following ordered pairs:
(3, 1) and (3, ∞).
Therefore, the domain and range are as follows;
Domain = {3, 3}.
Range = {1, ∞}.
In conclusion, the relation is not a function because its input value (domain) is not uniquely mapped to an output value (range).
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Vocabulary: Below are 10 word pairs. For each numbered pair, write S in
the blank if the second word in the pair is a synonym or and A if the word is
an antonym.
1. impose (pg. 59-60): burden
2. retribution (pg. 58): retaliation
3. endeavored (pg. 63) : avoided
4. obstinate (pg. 63): tenacious
5. immolation (pg. 59): creation
6. impunity (pg. 58): exemption
7. succession (pg. 63) : precedence
8. precluded (pg. 58): included
9. recoiling (pg. 62): repulsing
10. connoisseurship (pg. 59): apprenticeship
Answer: 5π ft
Step-by-step explanation:
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.
Let the number is n.
The phrase can be expressed as,
2n - 4.
Therefore, the expression is 2n - 4.
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helpppppppppppppppppp
I don't really know I just gotta do the give an answer challenge, sorry bro
i have a fair coin and a two-headed coin. i choose one of the two coins randomly with equal probability and flip it. given that the flip was heads, what is the probability that i flipped the two-headed coin? enter your answer using four decimal places.
With equal probability and flip it, given that the flip was heads, the probability that I flipped the two-headed coin is: 0.6667
Let's call the event of flipping the fair coin "F" and the event of flipping the two-headed coin "T".
The probability of flipping heads given that we flipped the fair coin is 1/2, so P(heads | F) = 1/2.
The probability of flipping heads given that we flipped the two-headed coin is 1, so P(heads | T) = 1.
The probability of flipping the fair coin is 1/2 and the probability of flipping the two-headed coin is 1/2, so P(F) = P(T) = 1/2.
Using Bayes' Theorem, we can find the probability that we flipped the two-headed coin given that the flip was heads:
P(T | heads) = (P(heads | T) * P(T)) / (P(heads | T) * P(T) + P(heads | F) * P(F))Plugging in the values, we get:
P(T | heads) = (1 * 1/2) / (1 * 1/2 + 1/2 * 1/2) = 2/3So the probability that we flipped the two-headed coin given that the flip was heads is 2/3, or approximately 0.6667.
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How much water should be added to 14mL of 9% alcohol solution to reduce the concentration to 7%? We should add mL.
The water that should be added to 14mL of 9% alcohol solution to reduce the concentration to 7% is 4ml.
How much more water must be added to reduce a concentration?Here; In this problem we have a concentration problem, represented by the volume of the solvent divided by the volume of the entire solution. The initial and final concentrations of the solutions are presented in the following formulas;
Given;
14mL of 9% alcohol solution.
Initial concentration;
9/ 100 = x / 14
x = 63/50
Final concentration;
7 / 100 = x / (14 + y)
(14 + y)=x*100/7
y=18-14
y=4
Therefore, water must be added to reduce the concentration will be 4ml.
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the bearing of point B from point A is 237 find the bearing from A to B
The bearing from point point A to point B is given as follows:
57º.
How to obtain the bearing between the two points?From the text in this problem, the bearing from point B to point A is given as follows:
237º.
To obtain the inverse bearing, that is, the bearing from point A to point B, we must subtract the bearing from point B to point A given in this problem by 180º, as follows:
237 - 180 = 57º.
Hence the bearing from point point A to point B is of 57º.
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is 5/11 closer to 0,1/2,1
Based on the given task content; 5/11 is closer to 1/2.
How to solve fractions?A fraction is a number which has a numerator and a denominator. A numerator refers to the upper or top value while a denominator refers to the lower or bottom value of a fraction.
5/11
= 0.454545454545454
Approximately,
= 0.5
1/2 = 0.5
Hence, 1/2 is closer to 5/11
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Use this table to find all the missing expense values.
Expenses Budget Percent of Budget
Utilities
5%
Labor
15%
Supplies
30%
Rent $2,400 40%
Advertising
10%
TOTAL
100%
The missing expense values are given as follows:
Utilities: $300.Labor: $900.Supplies: $1800.Advertising: $600. Total: $6000.How to obtain the missing expenses?The missing expenses are obtained applying the proportions in the context of this problem.
The rent expense of $2,400 is 40% of the total expenses, hence the total expenses are given as follows:
0.4x = 2400
x = 2400/0.4
x = $6000.
The utilities expenses are 5% of that, hence:
0.05 x 6000 = $300.
The labor expenses are 15% of the total, hence:
0.15 x 6000 = $900.
The supplies expenses are 30% of the total, hence:
0.3 x 6000 = $1800.
The advertising expenses are 10% of the total, hence:
0.1 x 6000 = $600.
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eighty-four percent of products come off the line ready to ship to distributors. your quality control department selects 12 products randomly from the line each hour. let x represent the number of these products that are within specifications. looking at the binomial distribution, if x is less than , the outcome would be considered unusual, and the production line should be repaired. group of answer choices fewer than 7 fewer than 6 fewer than 9 fewer than 8
If 84% of products come off the line ready to ship to distributors, then the probability of a product being within specifications is 0.84.
Since we are selecting 12 products randomly from the line each hour, the number of products within specifications (x) follows a binomial distribution with parameters n = 12 and p = 0.84.
Using a binomial cumulative distribution function (CDF), we can calculate the probability that x is less than a certain value. For example, if x is less than 7, the probability of this outcome would be considered unusual and the production line should be repaired.
So, the answer is "fewer than 7".
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(-1,4), slope =-2
Write the point slope form of the equation of the line through the given point with the given slope. Then, rewrite the equation into slope intercept form.
The point slope form of the equation of the line through the given point with the given slope is y - 4 = -2(x + 1).
The equation in slope intercept form is y = -2x + 2.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (-1, 4), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = -2(x - (-1))
y - 4 = -2(x + 1)
Next, we would rewrite the equation in slope-intercept form as follows;
y - 4 = -2(x + 1)
y = -2x - 2 + 4
y = -2x + 2
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. the creators of spss statistics have combined ratio and interval variables into one category that they refer to as
Numeric Variables, as they are referred to by the creators of SPSS Statistics, are a combination of ratio and interval variables.
Numeric Variables are a type of data used in statistical analysis, and are a combination of both ratio and interval variables. Ratio variables are those that can be measured, counted, and compared, and include ratios and differences between values. Interval variables are those that measure an amount, such as temperature, but are not able to be compared in terms of ratios or differences. The creators of SPSS Statistics refer to these combined variables as Numeric Variables. Numeric Variables can be used to measure and compare data, as well as to create graphs and charts. They are particularly useful in understanding the relationships between different sets of data.
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Find a formula for the piecewise function where the taxable income is the input, and the tax is the output using the table.
PLEASE HELP I AM REALLY STRUGGLING WITH THIS
I have added a photo of the table.
The piecewise function of the tax expressed below
How to determine the piecewise functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
To determine the piecewise function, we make use of the following variables:
x = taxable income
f(x) = tax
Using the above and the table of values as guides, we have the following:
f(x) = 0.1x, 0 ≤ x ≤ 9700
f(x) = 970 + 0.12(x - 970), 9701 ≤ x ≤ 39475
f(x) = 4543 + 0.22(x - 39475), 39476 ≤ x ≤ 84200
f(x) = 14382.5 + 0.24(x - 84200), 84201 ≤ x ≤ 160725
f(x) = 32748.5 + 0.32(x - 160725), 160726 ≤ x ≤ 204100
f(x) = 46628.5 + 0.35(x - 204100), 204101 ≤ x ≤ 510300
f(x) = 153798.5 + 0.37(x - 510300), x > 510300
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find the values of the sine, cosine, and tangent of the angle a . you may assume angle c is a right triangle.
For the given triangle find the exact value for cos(A) will be 5/13.
The sine is the side that faces away from the angle being examined.
The sine of the angle under consideration is called the cosine.
or the hypotenuse divides the opposite side to get the sine.
or the hypotenuse divides the adjacent side by the cosine.
Cosine is adjacent/hypotenuse, so keep that in mind. The values provided for this triangle can be plugged in.
Cos(A) = 5/13.
Avoid using a decimal response because rounding would be required and you wouldn't be providing an accurate figure. 5/13 as your response.
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The complete question
For the given triangle find the exact value for cos(A) assume angle C is a right angle
The table gives the volume of cylinders where the height is a function of the radius of the base. Given radius, r, the height can be modeled with the function h(r), the base area of the of the cylinder with the function B(r), and the volume of the cylinder with the function V(r).
The volume of the cylinder will be 138.2 inches³
How to calculate the volumeFrom the information, the shape has a height 3 in more than 4 times the radius of the cylinder's base.
The volume of a cylinder is equal to V = πr²h
where
r is the radius of the base
h is the height
In the problem, h = 3 + 4r
r = 2 inches
To calculate h, h = 3 + 4 × 2
h = 11 inches
The volume of a cylinder is equal to:
v = πr²h
v = π × 2² × 11
v = 44π inches³
V = 138.2 inches³
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Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the cylinder's base. What is the volume of the cylinder when it has a radius of 2 in?
I need help with the 2 questions. What is the mean age of the employees to the nearest year?
What is the median age of the employees?
Evaluate the expressions
when a= -4, b=3,c=-6, and d = -1/2
-4d=?
a+b=?
c divided by b=?
Answer:
-4d= 2
a+b= -1
c divided by b= -2
Step-by-step explanation:
-4d -> -4(-1/2)=2
a+b -> -4+3=-1
c divided by b -> -6 divided by 3=-2
Which function is graphed?
The piecewise function on the graph is the one in option C.
y = x² + 2 if x < 1
y = -x + 2 if x ≥ 1
Wich one is the graphed function?Here we have the graph of a piecewise function, and we can see that the jump is at x = 1.
The first part ends with a open circle, so its domain is x < 1
The second part starts with a closed circle, so its domain is x ≥ 1
Also, notice that the first part is quadratic and the second is linear, then the only option that meets all of these requiriments is the one in option C.
y = x² + 2 if x < 1
y = -x + 2 if x ≥ 1
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If a || b, then what is the value of x?
The value of x on the line is (d) 55
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The parallel lines and the transversal
Given that the line a and b are parallel line, we have the following equation:
x + 45 = 100
Subtract 45 from both sides of the equation
So. we have
x = 100 - 45
Evaluate
x = 55
Hence, the value of x is 55
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Clothing Online An online clothing company sells custom sweatshirts. The company charges $2.50 for shipping plus $6.50 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Use pencil and paper. Describe how the linear function rule would change if the shipping charge applied to each sweatshirt.
When there is a single shipping charge, the linear function rule is y =_____
The linear function for the cost is:
f(x) = 6.5*x + 2.5
How to write the linear function?A general linear function is something like:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here we know that there is a fixec charge of $2.50 plus $6.50 for each sweatshirt, then if you buy x of these, the cost will be modeled by the linear function below:
f(x) = 6.5*x + 2.5
The slope is the cost of each item and the y-intercept is the fixed cost.
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Which, if any, of the following equations are quadratic equations? How do you know?
x2=10
6x2+2=80
4x3-6=25
2(x+4)2=65
(5x-2)=3x4
Answer:
(5x-2)=3x4
Step-by-step explanation:
add that's in the () first
Answer: .
Step-by-step explanation:
Question 5 For the pair of functions, find the indicated sum, difference, product, or quotient. f(x) = 2-9x, g(x) = -5x² + 9 Find (f + g)(x).
The correct answer is (f + g)(x)= -5x²-9x+11.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
you have two functions f(x) and g(x) the sum of them f(x) + g(x) is represented as (f + g)(x)
then if our functions are f(x) =2-9x,
and g(x) = -5x² + 9
then (f + g)(x)
= f(x) + g(x)
= -5x²-9x+11
Hence, The correct answer is -5x²-9x+11.
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Find the mean, median, and mode for the set of numbers. if necessary, round the mean to one decimal place. 26, 31, 19, 23, 16
Answer:
Step-by-step explanation:
Mean = add up all numbers and divide on how many
26+31+19+23+16= 115
115/5= 23
Median = find the middle number
16, 19, 23, 26, 31
23
Mode = the most repeating number
there is none
Determine the equation of the parabola of this graph.
taking a looksie at the picture above, we can see the parabola has zeros/solutions at x = -2 and x = 1, we can also see that it passes through (0 , 2) as well, so
[tex]\begin{cases} x = -2 &\implies x +2=0\\ x = 1 &\implies x -1=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a( x +2 )( x -1 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that} \begin{cases} x=0\\ y=2 \end{cases} \\\\\\ a ( 0 +2 )( 0 -1 ) = 2\implies -2a=2\implies a=\cfrac{2}{-2}\implies \boxed{a=-1} \\\\[-0.35em] ~\dotfill\\\\ -(x+2)(x-1)=y\implies -(x^2+x-2)=y\implies {\Large \begin{array}{llll} -x^2-x+2=y \end{array}}[/tex]
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the distribution of the number of siblings for students at a large high school is skewed to the right with mean 1.8 siblings and standard deviation 0.7 sibling. a random sample of 100 students from the high school will be selected, and the mean number of siblings in the sample will be calculated.
The mean number of siblings for the sample of 100 students is likely to be close to 1.8 siblings, with a standard deviation of 0.7/√100 = 0.07 siblings.
A skewed distribution is one in which the data deviates from the normal distribution and has a longer tail on one side. In the case of the number of siblings, the distribution is skewed to the right, meaning that there are more students with higher numbers of siblings. The mean of 1.8 siblings and standard deviation of 0.7 sibling indicate the average and spread of the number of siblings in the entire student population of the high school. When a random sample of 100 students is selected, the mean number of siblings in the sample will be calculated. This mean will provide an estimate of the mean of the population, but there is still a chance of sampling error.
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