There are zero or null real fourth roots of -1.
What are real fourth roots?This means that the square root of the square root of a number is equal to the number's fourth root. Symbolically, the fourth root is also represented by multiplying the radical by 4, creating the number 4. The fourth root of 16, for instance, is 2, which means that 2 2 2 2 = 16. n, also known as the degree of the root, is a positive integer in this situation. The terms "square root" and "cube root" are used to describe roots of degree 2 and 3, respectively. The ordinal numbers fourth root, twentieth root, etc. are used to refer to roots of higher degree. It is a root extraction to calculate the nth root. A integer y such that y2 = x is referred to as the square root of an x in mathematics.
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Which inequality correctly orders the numbers -2/5, -11/3 and -2.5?
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal ≤
Greater than and equal ≥
The inequality that correctly orders the numbers is
-3.67 < -2.5 < -0.4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
-2/5 = -0.4
-11/3 = -3.67
-2.5
Now,
We see that,
-0.4 is greater than -2.5 and -2.5 is greater than -3.67.
This can be represented as an inequality:
-3.67 < -2.5 < -0.4
Thus,
The inequality that correctly orders the numbers is
-3.67 < -2.5 < -0.4
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a rectangular field measures 90 meters by 162 meters. what will it cost to cover the field with pallets of grass each covering 90 squard yards and costing $213 per pallet
The cost of covering the field with grass pallets is $40996.58.
Given that the rectangular field measures 90 m and 162 m.
Hence, the area of the field is 90 X 162 m²
The grass pallets are sure in shape with an area covering 90 square yards.
1 m = 1.09 yards
Hence,
1 m² = 1.09² square yards
Hence,
90 X 162 m² = 90 X 162 X 1.09² square yards
Hence the number of pallets to be used is
(90 X 162 X 1.09²) / 90
= 162 X 1.09² pallets.
= 192.4722 pallets.
1 pallet costs $213
Hence,
192.4722 pallets cost
192.4722 X 213
= $40996.58
Therefore we get the cost of covering the field with grass is $40996.58.
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Amy borrows $130 to buy supplies for
her birthday party. She receives gifts and
money from her friends and family.
The total amount of money that Amy
receives is $250. How much money does
Amy have after she pays back what she
borrowed?
Answer:
120
Step-by-step explanation:
What is the area of the figure at the right?
The area of the figure is 21. 25 m². Option D
How to determine the areaIt is important to note that the figure is a kite.
The formula for calculating the area of a kite is expressed as;
A= pq/2
Where;
A is the area of the kitep is the diagonal of the kiteq is the diagonal of the kiteUsing tangent identity
tan 45 = x/ 2. 5
1(2. 5) = x
x = 2. 5
p = 2. 5 + 2. 5 = 5
q = 2. 5 + 6 = 8. 5
Now, substitute the values into the formula
Area = 5(8. 5)/ 2
Area = 42. 5/ 2
divide the values
Area = 21. 25 m²
Hence, the value is 21. 25m²
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23. Amy says, "To find 50 x 20, I multiply 5 x 2 and then place the total number of zeros in both factors at the end." Do you agree? Explain.
That is one way to find out the answer
Quick help would be appreciated : )
The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67
What is inverse variation?Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.
Example: If a varies inversely as b
This can be represented as;
a ∝ 1/b
Then,
ab = k
Where k is the proportionality constant
From the information given, we have that;
The number of kilometers = xThe liters of fuel = yx ∝ 1/ y
Then,
xy = k
Substitute the values
476 (17) = k
k = 8092
If x = 1428 and k = 8092
Let's determine the value of y
y = k/x
y = 8092/1428
y = 5. 67 liters
Hence, the value is 5. 67 liters
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Question For Middle School........
[tex]1.what \: is \: the \: value \: of \: pie \: (\pi)[/tex]
when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the original number?
The original number from the given decimal number is 0.02.
Define the term reciprocal of the number?A multiplicative inverse of such a number is referred to as the reciprocal. In other words, 1 divided by a number is the definition of the reciprocal. Any given number multiplied by its reciprocal would always yield the value 1. By swapping the values of a numerator and denominator, one can find exact reciprocal of a fraction.For the given question;
Moving a decimal point 4 places towards the right corresponds to multiplying the given integer by 10,000 if it is x.
This results in:
10000x = 4.(1/x)
Simplifying.
x² = 4/10000
x > 0.
Taking square root of the number.
x = 2/100
x = 0.02
Thus, the original number from the given decimal number is 0.02.
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When the p-value is used for hypothesis testing, the null hypothesis is rejected if?.
The null hypothesis is rejected if the p-value is lower than or equal to the chosen significance threshold; otherwise, it is not. To put it another way, if p, reject [tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].
This criterion, known as (alpha) in null hypothesis testing, is often set to 05. The rejection of the null hypothesis is if there is less than a 5% probability that a result as dramatic as the sample result would occur if the null hypothesis is accepted. The outcome is referred to as statistically significant when this occurs.
If a statistical test is run with a threshold of significance = 0.1, 0.05, and 0.01 the null hypothesis was rejected.
The alternative hypothesis is taken into consideration instead of the null hypothesis if the P value is less than alpha, the predetermined level of statistical significance.
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what is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
Answer:
$24,067.32
Step-by-step explanation:
If you look up a compound interest calculator and put in the data correctly you should get $24,067.32
An equation and the steps to solve it are shown
below:
1
2x - 4 (12x+4)= 3
Step 1: 2x + 3x + 1 = 3
Step 2: 5x+1=3
Step 3: 5x+1-1=3-1
Step 4: 5x = 2
In which step was the error made and why? (1 point)
The error was made in the Step 1 as Distributive property of multiplication was not used correctly .
In the question ,
it is given that
the equation is 2x -(1/4)(12x+4)= 3
Step 1 : by using the distributive property of multiplication ,
we get
2x - (1/4)*12x -(1/4)*4 = 3
2x - 3x - 1 = 3
So , after the first step the equation should be 2x - 3x - 1 = 3
we see that the Distributive property of multiplication , was not used properly as the negative sign was not distributed to both the terms .
So , Step 1 is wrong.
Step 2 : Adding like terms
we get ,
-x - 1 = 3
Step 3 : Adding 1 to both the sides ,
we get
-x - 1 [tex]+[/tex] 1 = 3 + 1
Step 4:
-x = 4
x = -4
Therefore ,The error was made in the Step 1 as Distributive property of multiplication was not used correctly .
The given question is incomplete , the complete question is
An equation and the steps to solve it are shown below:
2x -(1/4)(12x+4)= 3
Step 1: 2x + 3x + 1 = 3
Step 2: 5x+1=3
Step 3: 5x+1-1=3-1
Step 4: 5x = 2
In which step was the error made and why?
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a manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.8 inches, and standard deviation of 6.2 inches. if 48 items are chosen at random, what is the probability that their mean length is greater than 20.1 inches?
The probability that their mean length is greater than 20.1 inches is 0.32.
Standard deviation:
The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
The given value are:
Mean = 18.8 inches
Standard deviation = 6.2 inches
We have to find the probability that their mean length is greater than 20.1 inches.
Variance of sample mean = 6.2 / 48
= 0.13
S.D of sample mean= [tex]\sqrt{0.13}[/tex]
= 0.36
Z score for the length of 20.1 is ( 20.1 - 18.8) / 0.36 = 0.468
The p-value for 0.468 in the standard normal table is 0.32.
Therefore 0.32 chance of the sample means is greater than 20.1 inches.
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BRAINLY FOR THE RIGHT ANSWER
Answer:
Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x
(9 − 9i) − (−7+ 2i)
Simply
Step-by-step explanation:
Simplify Calculator. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and see fro googlle bro
Answer:
16 - 11i
Step-by-step explanation:
When Adding or Subtracting any Complex Number
we Add or Subtract the Real Parts together and Add or Subtract the Imaginary Parts together
So for our Question
( 9 - 9i ) - ( -7 + 2i ) = ( 9 - (-7) ) + ( -9 - 2 )i = 16 - 11i
-16 > -4y solve for the inequality of y and simplify your answer as much as possible
The given inequality solved for y is y > 4
Solving linear inequalitiesFrom the question, we are to solve the given linear inequality.
To solve an inequality, we will solve for the variable in the inequality.
The given inequality is
-16 > -4y
The variable in the inequality is y.
Now, we will solve for y
-16 > -4y
Divide both sides by -4
-16/-4 > -4y/-4
4 < y
Thus,
y > 4
Hence, the solution is y > 4
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let k and n be non-negative integers and n be the maximum of the two. what is a k-permutation of n distinct objects? g
If k and n are non-negative integers and n is the greater of the two, then the ordered list of k of the n things without repetition is the k-permutation of the n separate objects.
The total number of ways to select k objects from a set of n elements is n(n1), with (nk+1) alternatives being available for the kth place.when ordering matters and repetition is not permitted. A k-permutation of the elements in set A is any of the chosen lists in the previous configuration (choose k elements, in any order, with no repetition). Pnk=0 if k is greater than n. This makes sense because it is impossible to select k unique elements from an n-element collection if k>n.
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Round 45.4673
off each number
to two (2) Decimal Place
Answer:
45.47
Step-by-step explanation:
what is the difference between shallow foundations and deep foundations? where would you recommend the use of deep foundations? explain.
Deep foundations are recommended for larger or hillside developments , or those on poor soil .
Foundation Systems in Building
There are two classifications of foundations in building shallow foundations and deep foundations . These categories refer to the depth of soil in which the foundation is formed .
Shallow Foundations : Shallow foundations are usually located less than six feet below the lowest finished floor of a structure.
Deep Foundations : Deep foundations are structural elements that are used to transfer loads from weak and compressible soils to a stronger layer, usually located at a significant depth below the ground.
Recommendation
A shallow foundation can be constructed in as little as a one-foot depth , whereas a deep foundation is formed at a depth of 10 - 300 feet . Deep foundations are recommended for larger or hillside developments , or those on poor soil .
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Answer:
Step-by-step explanation: A shallow foundation distributes loads from the building into the upper layers of the ground.
Shallow foundations perform very well on sites with strong soils, sufficiently thick natural gravel rafts overlying weaker soils or where robust, engineered ground improvement is carried out.
Deep foundations can provide a good foundation for houses on sites with poor soil conditions near the surface,
Susan has two coupons for a bicycle. Coupon A: 20% off of a $81 bicycle Coupon B: $19 rebate on a $81 bicycle Choose the coupon that gives the lower price. Then fill in the blank with the correct value.
The coupon that gives the lower price, based on the percentage discounts is Coupon B.
How to find the better coupon?To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.
Coupon A value after discount is:
= 81 x ( 1 - discount)
= 81 x ( 1 - 20%)
= $64.80
Coupon B value after discount is:
= 81 - 19
= $62
The coupon that gives the lower price is Coupon B.
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What is 5.2E11 in standard form
The standard form of 5.2E11 using the set scientific notation and rules is 311345.5369.
What is a standard form in mathematics?The standards for putting mathematical elements in standard form make it easier for anyone to read, write, and interact with them. The standard form is the most popular approach to representing a mathematical element.
In mathematics, the standard form is the most prevalent way of describing a specific element. Every element in arithmetic is represented in a standard form, from enormous numbers to little integers, or equations to lines.
A standard form is a method of writing a particular mathematical notion, such as an equation, or expression, in a way that adheres to specified criteria. The standard form is used to portray very big or very small numbers in a succinct manner.
The standard form of 5.2E11 using the set scientific notation and rules is:
311345.5369.
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What is the correct way to write 0.0000250 m in scientific notation? 2.50 times. 10â€""5 m 2.5 times. 10â€""5 m 2.50 times. 10â€""4 m 2.5 times. 10â€""4 m
The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.
What is scientific notation?Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:
1.23 × 10⁻⁴9.9 · 10¹⁰⁰5 · 10²Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.
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Answer:
A. 2.50 Times. 10–5 m
Step-by-step explanation:
other one is wrong
A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 175 m downhill from the base of the tower. The angle in the figure is determined to be 13°. Find the length of cable required for the guy wire. (Round your answer to the nearest meter.)
Answer:
ii think that the figure will be determined by 13#
Step-by-step explanation:
you have to round up to the nearest meter
3n=1/9 Find the value of n.
PLEASE HELP
Answer: n=1/27=0.037
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*n-(1/9)=0
Simplify 1/9
3n - 1/9 = 0
Rewrite the whole as a fraction using 9 as the denominator :
3n 3n • 9
3n = —— = ——————
1 9
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3n • 9 - (1) 27n - 1
———————————— = ———————
9 9
End of step 2
27n - 1
——————— = 0
9
Start of step 3
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
27n-1
————— • 9 = 0 • 9
9
Now, on the left hand side, the 9 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
27n-1 = 0
Solving a Single Variable Equation:
3.2 Solve: 27n-1 = 0
Add 1 to both sides of the equation :
27n = 1
Divide both sides of the equation by 27:
n = 1/27 = 0.037
2. Communicate and Justify Why is the algebraic
expression x, equivalent to x ¹?
Expression x is equivalent to [tex]x^{1}[/tex] by using the exponent rule.
What do you mean by algebraic expression?
A mathematical expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
There are three primary categories of algebraic expressions, including:
Monomial expression
Binomial expression
Polynomial expression
An algebraic expression can be divided into two additional types in addition to the monomial, binomial, and polynomial types. These are:
Numeric Expression
Variable Expression
Numeric expression - A numeric expression consists of numbers and operations, but never include any variable.
Variable expression - A variable expression is an expression that contains variables along with numbers and operation to define an expression.
As we know, exponent form [tex]x^{n}[/tex] can be simplified as [tex]x \times x\times x\times ........n~ times[/tex]
In this way , [tex]x^{1}[/tex]can be written as x multiplied by 1 time which is equal to x
Therefore, expression x is equivalent to [tex]x^{1}[/tex].
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A right triangle has a hypotenuse of 1 meter and a leg of 1/2 meter. What is the area of the triangle to the nearest hundredth of a square meter?
The area of the triangle to the nearest hundredth of a square meter is 0.217m²
A right triangle has a hypotenuse of 1 meter and a leg of 1/2 meter
Hypotenuse = 1
base = 0.5
We need to calculate the perpendicular
h² = b² + p²
1² = 0.5² + p²
p² = 1 - 0.25
p = √0.75
p = 0.866
area of the triangle = 1/2 base x height
area = 1/2 (0.5 x 0.866)
area = 0.2165m²
Therefore the area of the triangle to the nearest hundredth of a square meter is 0.217m²
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write this equation of a line in point slope form: slope 1/2; (3, -1)
Answer:
y + 1 = 1/2 (x - 3)
Step-by-step explanation:
Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)
Here's Point-slope:
y - Y = m (x - X)
The slope they gave you is 1/2, put that in for the m.
And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)
Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.
y - -1 = 1/2 (x - 3)
Simplify.
y + 1 = 1/2 (x - 3)
Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!
Answer:
The rocket reaches its maximum height at 2.25 seconds.
It’s maximum height is 88 feet.
This can be found by finding the derivative of the function and setting it to zero.
-16x² +72x + 7
Taking first derivative and setting to zero:
-32x + 72 = 0
x = -72/-32=2.25
Find the height when x is 2 seconds by substituting this value into the original function:
-16 * (2.25)² + 72 * 2.25 + 7 = 88
Therefore the maximum turning point of the parabola will be (2.25, 88)
Using technology, calculate the weighted mean of the rors for each portfolio. based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst? portfolio 3, portfolio 1, portfolio 2 portfolio 2, portfolio 3, portfolio 1 portfolio 1, portfolio 2, portfolio 3 portfolio 3, portfolio 2, portfolio 1
Option B is the correct choice.
Based on the findings, the following list compares the portfolios' overall performances, ranking them from best to worst:
Portfolios 2, 3, and 1, respectively.
The weighted average ROR is calculated by adding the rates of return on the portfolio's assets and the percentage of the portfolio that is invested in each investment.
For Portfolio 1:
Total Investment= $700 + $2575 + $220 + $1000 + $1430 = $5925
Therefore, total investment = $5,925
Weighted Average ROR= (-3.8% * $700) / $5925 + (2.1% * $2575) / $5925 + (11.3% * $220) / $5925 + (5.8% * $1000) / $5925 + (1.6% * $1430) / $5925
WAROR = (-0.0045) + 0.0091 + 0.0042 + 0.0098 + 0.0039 = 0.0225
Therefore, the Weighted Average ROR= 2.25% (third)
For Portfolio 2:
Total Investment = $1250 + $1700 + $1515 + $1345 + $1,675 = $7485
Therefore, Total Investment = $7,485
Weighted Average ROR = (-3.8% * $1250) / $7485 + (2.1% * $1700) / $7485 + (11.3% * $1515) / $7485 + (5.8% * $1345) / $7485 + (1.6% * $1,675) / $7485
= (-0.0063) + 0.0048 + 0.0229 + 0.0104 + 0.0036 = 0.0354
Therefore, the Weighted Average ROR = 3.54% (first)
For Portfolio 3:
Total Investment = $1025 + $500 + $790 + $250 + $2500 = $5065
Therefore, Total Investment = $5,065
Weighted Average ROR = (-3.8% * $1025) / $5065 + (2.1% * $500) / $5065 + (11.3% * $790) / $5065 + (5.8% * $250) / $5065 + (1.6% * $2,500) / $5065
= (-0.0077) + 0.0021 + 0.0176 + 0.0029 + 0.0079 = 0.0228
Therefore, Weighted Average ROR = 2.28% (second)
Therefore, the correct order of portfolios based on the performance from best to worst will be:
Portfolio 2, Portfolio 3, and Portfolio 1. (Option B)
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COMPLETE QUESTION:
ROR Portfolio 1 Portfolio 2 Portfolio 3 −3.8% $700 $1,250 $1,025 2.1% $2,575 $1,700 $500 11.3% $220 $1,515 $790 5.8% $1,000 $1,345 $250 1.6% $1,430 $1,675 $2,500 Using technology, calculate the weighted average of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
A) Portfolio 1, Portfolio 3, Portfolio 2
B) Portfolio 2, Portfolio 3, Portfolio 1
C) Portfolio 1, Portfolio 2, Portfolio 3
D) Portfolio 3, Portfolio 2, Portfolio 1
Evaluate -7(x – 4y) when x = −4 and y = −6 a140 b52 c-28 d-140
Answer: D
Step-by-step explanation:
-7(-4-(4)(-6))
-7(-4-(4)(-6))
=140
find the quotient of 67.98÷28 round your answer to the hundredths place
Answer:
2.43
Step-by-step explanation:
The quotient is the answer to a division problem.
67.98/28 = ~2.42785714286
To round to the nearest hundredth, leave 2 decimal digits remaining. If the thousandth place (3rd decimal digit) is greater they or equal to 5, add 1 to the hundredths digits.
7 [tex]\geq[/tex] 5
2.42+0.01
2.43