Answer:
The total cost of groceries if the state sales tax of 6.4% added $9.60 to the original cost would be $159.60. To calculate this, multiply the original cost by 1.064, which is the amount of the sales tax in decimal form. For example, if the original cost was $150, then the total cost would be $150*1.064 = $159.60.
ABC has vertices A (0, -1), B (3,4), and C (3,1).
Reflect it across x-axis
Need as soon as possible...
ABC has vertices A (0, -1), B (3,4), and C (3,1). The coordinates of the image after reflection over the x axis is
A' (0, 1)B' (3, -4)C' (3, -1)How to find the coordinate's after reflectionReflection is a method of transformation that creates mirror image.
The transformation rule for reflection over the x axis is as below
(x, y) → (x, -y)
Applying the rule we have
A (0, -1), B (3, 4), and C (3, 1) will result to
A' (0, 1), B' (3, -4), and C' (3, -1)
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What is the area and the perimeter of the shape in the screenshot?
5+2+3+7+2=19:19 is the perimeter
translate the sentence into equation
Twice the difference of a number and 8 is 7.
Answer:
x = 11.5 This is the answer to the equation.
Step-by-step explanation:
2 · (x - 8) = 7 This is the equation as it is written.
x - 8 = 7/2
Find the area of a regular 12-gon inscribed in a unit circle.
Shown below is a regular octagon. Each of the four red regions has area 12. What is the area of the blue region?
Isosceles triangle OPQ has legs OP=OQ, base PQ=2, and angle POQ=45 degrees. Find the distance from O to PQ.
ABCDEF is a regular hexagon with area 1. The intersection of triangle ACE and triangle BDF is a smaller hexagon. What is the area of the smaller hexagon?
A, B, C, D, and E are points on a circle of radius 2 in counterclockwise order. We know AB=BC=DE=2 and CD=EA. Find [ABCDE].
To find the area of the regular 12-gon inscribed in a unit circle, first calculate the area of a regular octagon. The area of a regular octagon is equal to two times the length of one side squared, multiplied by the constant π/2. Since all the sides of a regular octagon inscribed in a unit circle have length 1, we can calculate the area of the octagon as 21^2(π/2) = π.
Next, divide the octagon into four red regions, each with an area of 12. To calculate the area of the blue region, subtract the total area of the four red regions (12*4 = 48) from the area of the octagon (π). This gives us an area of π - 48 = 8 for the blue region.
To find the distance from O to PQ in the isosceles triangle OPQ, use the Pythagorean theorem. Since the base of the triangle has length 2, and the legs of the triangle have length OP=OQ, we can calculate the distance from O to PQ as the square root of 2^2 - (OP)^2, which is equal to √2.
To find the area of the smaller hexagon, subtract the area of triangle ACE from the area of triangle BDF. The area of an equilateral triangle with side length 2 is √3/4, so the area of triangle ACE is (√3/4)2 = √3/2. Similarly, the area of triangle BDF is (√3/4)2 = √3/2. Subtracting these two values gives us an area of 0.5 for the smaller hexagon.
Lastly, to find the measure of [ABCDE], use the fact that the sum of the interior angles of a regular polygon is equal to (n-2)180°, where n is the number of sides of the polygon. In this case, n = 5, so the measure of [ABCDE] is (5-2)180° = 120°.
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what is the probability that vowels occupy even places in 'jvuyojzrxccome'
Answer: The probability that vowels occupy even places in the word "jvuyojzrxccome" is 3/7.
Step-by-step explanation:
1) To find the probability that vowels occupy even places in the word "jvuyojzrxccome", we can use the following steps:
2) Break down the word into individual characters: "jvuyojzrxccome"
3) Identify the vowels in the word: "u, o, o, e"
4) Count the number of vowels in the word: 4
5) Count the number of even-positioned characters in the word: (1st, 3rd, 5th, 7th, 9th, 11th, 13th) 7
6) Identify the vowels in the even positions: "u, o, e"
7) Count the number of vowels in the even positions: 3
Use the formula for probability: P(vowels in even positions) = (number of favorable outcomes) / (number of total outcomes)
8) P(vowels in even positions) = 3/7
Therefore, the probability that vowels occupy even places in the word "jvuyojzrxccome" is 3/7.
the whole numbers are written consecutively in rows as shown. each row contains two more numbers than the previous row. 123{,}000 is the m th number in the n th row (counting from the left). enter the values of m and n in this order, separated by a comma.
The number of terms in the nth row is n + 1. The sum of the terms in the first n rows is equal to the sum of the first n + 1 triangular numbers, which is given by the formula n(n + 1)(n + 2)/6.
So to find m and n, we need to solve the following two equations simultaneously:
n(n + 1)(n + 2)/6 + m = 123000
n + 1 = 2m
Substituting the second equation into the first equation, we get:
m(2m + 1)(2m + 2)/6 = 123000
We can then solve for m using a numerical method, such as the bisection method or Newton-Raphson method. The solution is approximately m = 142.
So the values of m and n are 142 and 284, respectively.
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Exercise 2: A researcher collected data from college students on the number of hours they slept
the night before a major exam. He collected the following set of data:
2 6 4 4 3 6 7 5 4 8
4 5 8 3 5 5 7 6 1 4
a) What is the sample size? (n = ?)
b) Organize the data in the frequency distribution table below. Start with the highest X
value. Then, compute proportions, relative frequencies, and percentages
For the given frequency distribution table the answer of the following questions are:
a. sample size is equal to n = 20.
b. Proportion , relative frequency , and the percentage are :
f Proportion Relative frequency Percentages
1 0.05 0.05 5
2 0.1 0.1 10
3 0.15 0.15 15
4 0.2 0.2 20
5 0.25 0.25 25
a. Sample size of the number of hours students slept before exam is :
n = 2+ 2 + 3+ 4+ 5 + 2+ 1+ 1
= 20
b. Organization of the data in the form of frequency distribution table form is:
X f Proportion Relative frequency Percentages
8 2 2/20 = 0.1 2/ 20 = 0.1 0.1 × 100 = 10
7 2 2/20 = 0.1 2/ 20 = 0.1 0.1 × 100 = 10
6 3 3/20 = 0.15 3/ 20 = 0.15 0.15 × 100 =15
5 4 4/20 = 0.2 4/ 20 = 0.2 0.2 × 100 = 20
4 5 5/20 = 0.25 5/ 20 = 0.25 0.25 × 100 = 25
3 2 2/20 = 0.1 2/ 20 = 0.1 0.1 × 100 = 10
2 1 1/20 = 0.05 1/ 20 = 0.05 0.05 × 100 =5
1 1 1/20 = 0.05 1/ 20 = 0.05 0.05 × 100 =5
20
Therefore, the sample size of the frequency distribution is 20 and the proportion , relative frequency ,and percentage are shown in the above table.
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Please help me with this
Extra points
The intersection is - 7< <x< 4 after resolving the compound inequalities -20< 2x - 6 <2.
what is inequality ?A relation between two terms or concepts that is equal in mathematics is referred to by the term inequality. Thus, disparity originates from imbalance. In economics, an inequality explains the connection between two non-equal numbers. Egality and equality are not the same. Use the same equal symbol most frequently when two results are not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two aspects until only the variables are left, many straightforward inequalities can be solved. However, a range of variables support inequality: Both sides' negative values are split or added. Exchange the left and the right.
given
-20 < 2x - 6 < 2
Divide a system of inequalities into compound inequalities:
1) 2x - 6 > -20
2) 2x - 6 > 2
x> 7 and x < -4
the intersection, then: - 7 < x < 4
The intersection is - 7< x< 4 after resolving the compound inequalities -20< 2x - 6 <2.
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The complete question is :-
Solve the following compound inequality:
-20< 2x - 6 <2.
How can you help me with that please
The grouping of all numbers with the formula a+bi is referred to as the complex number set. If b0, the number is also referred to as an imaginary number. The quantity is referred to be a real number if b=0.
Explain about the Complex numbers and real number?A real number and an imaginary number added together is referred to by this phrase. It is symbolized by the letter z and has the formula a + bi.
Any number that is composed of both rational and irrational numbers is considered to be real. R is used to write these numbers, which may be native or positive.
Complex numbers are those that are expressed as a+ib, where a, b are actual numbers, and I is a fictitious number termed a "iota." I = (-1) is the value. A complex number, such as 2+3i, is one where the real number 2 (Re) and the imaginary number 3 I are both present (Im).
The number that is represented by the square root of a particular negative number is referred to by this phrase.
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Please help.
Complete the equation for the function that is represented by the graph.
f(x)=?
Does this represent exponential growth or exponential decay?
The function represents an exponential decay, as it is a decreasing function.
How to classify a function as exponential growth or exponential decay?A function is classified as exponential growth if it is an increasing function, that is, the function is increasing over it's entire domain.
A function is classified as exponential decay if it is an decreasing function, that is, the function is decreasing over it's entire domain.
As the function in this problem is decreasing, it is an exponential decay function.
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can someone just try to answer this ?:(
Ima fail
Answer:
x >5 and x <-2
Step-by-step explanation:
x >5 and x <-2
the following are the weights (in pounds) of seven people: 100, 115, 135, 140, 180, 197, 230. find the 36th percentile? A.175 B.227 C.140 D.197
In the weights of seven people, the 36th percentile is 135.
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230
We have to determine the 36th percentile.
The term "percentile" describes how a score contrasts with other scores from the same collection. The percentage of values in a set of data scores that fall below a specific value is a typical way to represent percentile, despite the fact that there is no single meaning for this term.
The formula is:
= Percentile/100 × Total number of weights
There have total weights of 7 people and percentile is 36.
Now putting the value
= 36/100 × 7
= 2.52
= 3(approx)
To find the percentile value we count from left to right.
The 3rd number from left to right is 135.
So the 36th percentile is 135.
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Find an equation of a horizontal line containing the point (−1,4)
Answer:
y = 4
Step-by-step explanation:
You want the equation of the horizontal line containing the point (-1, 4).
Horizontal lineOn a horizontal line, the y-coordinates of every point are the same. The equation can be written ...
y = constant
ApplicationIn order for the horizontal line to go through a point with y-coordinate 4, the constant must be 4. The equation is ...
y = 4
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please help me will give u extra points :)
•
Therefore , the solution of the given problem of compound sentence's comes out to be { x|–2< x < 5}
What is Compound Inequalities?Indicated by the conjunction "or," the compound sentence is true as long as either of the two statements is true. In other words, it is the union or combination of the solution sets for each unique assertion. The term "conjunction" refers to a compound inequality that contains the word "and". The words "and" and "or," which are considered to be variables of speech, have a different meaning in mathematics than they do in grammar.
Here,
Given :
=> On the number line
=> -5 to -2
and 5 to infinity .
So,
Both x| x > -2 and x < 5
The following is another method to state this solution set:
{ x|–2< x < 5}
It is assumed that the word "and" will always be used in compound inequality expressions when neither "and" nor "or" is explicitly used. You say, "x is more than -2 and (reading to the right) x is less than 4," reading from the "x" position as "x|-2" "x," "x," and "x," respectively. This is the solution set's graph.
The Complete Question.
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17. ______________________ the set of all the possible outcomes in a probability experiment.
A sample space the set of all the possible outcomes in a probability experiment.
How to complete the statementThe sample space in probability theory is the set of all possible outcomes of a random experiment.
It is the set of all possible results of an action, experiment, or random process. In other words, it is the set of all possible values that a random variable can take.
For example, in a coin flip experiment, the sample space could be defined as the set {heads, tails}.
In a dice roll experiment, the sample space could be defined as the set {1, 2, 3, 4, 5, 6}.
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–10x + 4y + 14 = 0 in slope intercept form
Slope intercept form is written as follows:
[tex]y=mx+b[/tex]
With this information, isolate y on the left side of the provided equation:
[tex]4y=10x-14[/tex]
Now, divide both sides of the equation by 4:
[tex]y=\frac{10}{4} x-\frac{7}{2}[/tex]
This equation cannot be simplified anymore, and is therefore the answer!
[tex]y=\frac{10}{4} x-\frac{7}{2}[/tex]
Answer:
y = (5/2)x - (7/2)
Step-by-step explanation:
–10x + 4y + 14 = 0
-14 -14
-----------------------------
-10x + 4y = -14
+10x + 10x
--------------------------------
4y = 10x - 14
÷4 ÷4 ÷4
----------------------
y = (10/4)x - (14/4)
simplified
y = (5/2)x - (7/2)
I hope this helps!
Use the table to add 48 +689 vertically. The top row will be for regrouping (numbers that are "carried"). The bottom row will be for
your answer. The addends have already been filled in for you.
Hundreds
Tens
Regrouping
First Addend
Second Addend 6
Sum
4
8
Ones
8
9
The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.
What is the column ?A column is a vertical structure that acts as a support for a building or is used as a decorative object. It is commonly used in architecture and comes in many different styles, shapes, and sizes. Columns can be made from a variety of materials such as stone, marble, iron, and brass. They are often adorned with intricate carvings and detailed designs. Some ancient structures like the Parthenon in Athens, Greece, are famous for their impressive use of columns.
Hundreds
Tens
Regrouping
First Addend
Second Addend 6
Sum
4
8
Ones
7
7
The regrouping column is used to carry numbers from the ones column to the tens column. In this case, there is a 1 that must be carried from the ones column to the tens column. The sum of 48 + 689 is 737.
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The Lorenz curve of income distribution of a small island nation is
f(x) = 0.3x^4 +0.3x³ +0.4x²
The Gini coefficient (index) of inequality for this nation is...
The Gini coefficient for this nation cannot be calculated from the given information
How to determine the Gini coefficientFrom the question, we have the following parameters that can be used in our computation:
f(x) = 0.3x^4 +0.3x³ +0.4x²
The Gini coefficient for this nation cannot be calculated from the given information.
This is so because the Lorenz curve which is a graphical representation of the income distribution of a population is required
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Please help me with this question.
The solution for the equation 2cos4x - 1 = 0 is x = 3π/35.
How to evaluate for the solution of the equationFor the values:
x = π/5 + 2kπ and also;
x = π/7 + kπ
then we can solve for k as follows:
π/5 + 2kπ = π/7 + kπ
collect like terms
2kπ - kπ = π/7 - π/5
kπ = (5π - 7π)/35 {simplifying the right hand side to a single fraction}
kπ = -2π/35
k = -2/35 {divide through by π}
put -2/35 for k in the equation x = π/7 + kπ to get the value of x;
x = π/7 - 2π/35 {simplifying the right hand side to a single fraction}
x = (5π - 2π)/35
x = 3π/35
Therefore, the solution for the equation 2cos4x - 1 = 0 is x = 3π/35.
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Simplify to a single power of 4:
[tex]\frac{4^7}{4^5}[/tex]
A circle has a radius of 22 centimeters. Arc has a length of centimeters. What is the radian measure of the corresponding central angle?
Answer:
The radian measure of a central angle of a circle can be found using the formula:
Radian measure = Arc length / Radius
In this case, the radius is 22 centimeters, and the arc length is x. So,
Radian measure = x / 22
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
What is the slope of the equation y – 5 = –3x?
Answer:
-3
Step-by-step explanation:
Write the equation in slope -intercept form: y = mx + b
where m is the slope.
y - 5 = -3x
y = -3x + 5
Slope = -3
[tex]y-5 =-3x[/tex]
2. Add "5" on both sides of the equation.[tex]y-5+5 =-3x+5\\ \\y=-3x+5[/tex]
3. Identify the slope.The slope of a linear equation will always be the coefficient of the "x" variable when the equation is equalled to "y". The coefficient is just the number that multiplies the variable. Hence, the coefficient of this line is "-3". Check the attached image.
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Lynnette is buying a triangular parcel of land. If the lengths of the three sides are 300 yards, 400 yards, and 500 yards, will the parcel of land have a right angle? Explain.
Answer:
yes because see below
Step-by-step explanation:
300²+400²=500²
so it has to be right angle
Answer:
Step-by-step explanation:
yes, the parcel of land will have a right angle.
300x300=90,000
400x400=160,000
500x500=250,000
90,000+160,000 = 250,000
Please help me with this question.
The average rate of change between the intervals x = -2 and x = 4 of the function f(x) = 4x³ - 15x + 3 is; 33
How to find the average rate of change?The average rate of change is defined as a measure of how much the function changed per unit, on average, over a given interval.
We are given the function;
f(x) = 4x³ - 15x + 3
Between the intervals x = -2 and x =4, the average rate of change can be gotten from;
[f(4) - f(-2)]/(4 - (-2)
f(4) = 4(4)³ - 15(4) + 3
f(4) = 199
f(-2) = 4(-2)³ - 15(-2) + 3
f(-2) = -32 + 30 + 3
f(-2) = 1
Thus;
Average rate of change = (199 - 1)/(4 - (-2)
= 198/6
= 33
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suppose you invested $5,000 today. what would be the required interest rate to result in you having $20,886.24 at the end of 15 years. (hint...use the cagr formula). for your answer round to the nearest whole percentage and use the percentage symbol....e.g., 13% would be the form of a correct answer.
The required interest rate would be approximately 6%.
The Compound Annual Growth Rate (CAGR) is a measure of the average rate of return of an investment over a specified time period, assuming the investment is compounded at regular intervals. It gives the average growth rate that would have transformed the initial investment value into the final investment value over the specified time period.
To calculate the required interest rate, we need to find the CAGR using the following formula:
[tex]\text{CAGR} = (\frac{V_\text{final}}{V_\text{begin}} )^{(1/n) }- 1[/tex] where,
CAGR is the compound annual growth rate[tex]V_\text{begin}[/tex] is the beginning value[tex]V_\text{final}[/tex] is the final valuet is the time in yearsSubstituting the given values, we get:
CAGR = ($20,886.24 / $5,000)^(1/15) - 1
= (4.17248)^(1/15) - 1
= 1.06 - 1
= 0.06 or 6%
So, the required interest rate to have $20,886.24 at the end of 15 years, assuming compounded interest, would be 6%.
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What is a major goal of the federal government when managing land resources?
A) conversation
B) land sales
C) residential development
D) privatization
A pasty chef needs 90 milliliters of batter to produce one cupcake. How many cupcakes can be produced from a recipe that yields 18 liters of batter?
Answer:
Step-by-step explanation:
i don't know convert
based on sample data, newborn males have weights with a mean of 3260.1 g and a standard deviation of 761.9 g. Newborn females have weights with a mean of 3080.7 g and a standard deviation of 523.1 g. who has the weight that is more extreme relative to the group from which they came: male who weights 1600 g or a female who weights 1600 g?
The z-score for the male is more than the z-score for the female.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The z-score for males is given as,
z = (1600 - 3260.1) / 761.9
z = - 1660.1 / 761.9
z = - 2.179
The z-score for females is given as,
z = (1600 - 3080.7) / 523.1
z = - 1480.7 / 523.1
z = - 2.830
The z-score for the male is more than the z-score for the female.
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12 is 2% of_________
twelve is two percent of six hundred
 For the equation: 2(x-5) = 9 - 3x +6 + 8 + 3x+ 7, the right side of the equation can be simplified by combining like terms.
Simplify 9-3x+6+8 + 3x+7:
2(x - 5) can be simplified using the Distributive Property.
Simplify 2(x - 5):
Word Bank:
136x 30x 30 2x-5 6x#30 2x+10 2x-10
Blank 1:
Blank 2:
The right side of the equation 9 - 3x +6+8 + 3x+7 can be simplified by combining like terms as: 30.
2(x - 5) can be simplified using the Distributive Property as: 2x - 10.
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
Next, we would combining like terms in the right side of the equation as follows;
9 - 3x +6+8 + 3x+7 = (9 + 8 + 6 + 7) + (3x - 3x)
9 - 3x +6+8 + 3x+7 = 30.
By applying the distributive property of multiplication to left side of the equation, we have:
2(x - 5) = 2x - 10.
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