Given:
\(5^{-\frac{2}{3}}\)On simplification we get,
\(\begin{gathered} 5^{-\frac{2}{3}}=\frac{1}{5^{\frac{2}{3}}} \\ =\frac{1}{(5^2)^{\frac{1}{3}}} \\ =\frac{1}{25^{\frac{1}{3}}} \\ =\frac{1}{\sqrt[3]{25}} \end{gathered}\)Hence, the answer is,
\(\frac{1}{\sqrt[3]{25}}\)Compute the estimated regression's prediction for the average score of students given 98, 129, or 159 minutes to complete the exam.
Given 98 minutes, the estimated regression's prediction for the average score of students is 91.94 .
Given 129 minutes, the estimated regression's prediction for the average score of students is 108.37
Given 159 minutes, the estimated regression's prediction for the average score of students is 124.27 (Round your responses to two decimal places.)
Compute the estimated gain in score for a student who is given an additional 32 minutes on the exam.
The estimated gain in score for a student who is given an additional 32 minutes on the exam is (Round your response to two decimal places.)
Answer:
The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
Step-by-step explanation:
The estimated regression prediction is given by:
\(\hat{y}=40+0.53x\)
Where x denotes the time
y denotes the average score
A)
Substitute x = 98
\(\hat{y}=40+0.53(98) = 91.94\)
B)
Substitute x = 129
\(\hat{y}=40+0.53(129) = 108.37\)
C)
Substitute x = 159
\(\hat{y}=40+0.53(159) = 124.27\)
D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.
\(\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96\)
So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
Which choice is equivalent to the expression below?
root-81
A. 9i
B. i root9
C. root9i
D. -9
E. -root9
Answer: B
Step-by-step explanation:
Determine if the table below represents a linear function. If so, what's the rate of change?
A) No; it's a non-linear function.
B) Yes; rate of change = 4
C) Yes; rate of change = 2
D) Yes; rate of change = 3
Answer:
A
Step-by-step explanation:
Its not a linear function; there is no consistent rate of change between each of the points.
a bike cost 129.90 what is your total with a tax of 5%
Answer:
so you just use the equation to get the formula and extract the common denominator
Step-by-step explanation:
because i said so
factor -1(x^(2)-3x-4) and pls show steps
Answer:(-x-1)(x-4)
Step-by-step explanation:
\(-1(x^{2} -3x-4)\)
factor the equation (multiples of 4 are 1 and 4 and 2 and 2) 4-1=1 so the factor you want to use are 1 and 4
-1(x +1)(x-4) -- -4+1=3
distribute the -1 into the first factor
(-x-1)(x-4)
Answer:
\(-x^{2}+3x+4\)
Step by step explanation:
1) \(-1(x^{2}-3x-4)\)
Any expression multiplied by 1 remains the same.
2) \(-(x^{2}-3x-4)\)
When there is a ' - ' in front of an expression in parenthesis, change the sign of each term in the expression.
3) \(-x^{2}+3x+4\)
Type integer or fraction as answer simplify answer
Answer:
51/28
Step-by-step explanation:
Start by making common denominators.
7 2
4 4
Now subtract the two.
7 - 2 = 5
4
Now you have to make common denominators for the second part, 4/7
16 + 35 = 51
28 28 28
brainliest is nice ig
Solve each system of equations by elimination . Clearly identify your solution.x + 5y = 20) (2x - 7y = -45
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
x + 5y = 20 eq.1
2x - 7y = -45 eq.2
x = ?
y = ?
Step 02:
Elimination method
x + 5y = 20 * (-2)
2x - 7y = -45
-2x - 10y = -40
2x - 7y = -45
______________
-17y = - 85
y = -85 / - 17
y = 5
eq.1
x + 5y = 20
x + 5(5) = 20
x + 25 = 20
x = 20 - 25
x = - 5
The answer is:
y = 5
x = -5
Negative three times a number is at least 57.
Answer:
given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:
\(-3\geq 57\) Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:
\(x \leq \frac{57}{3} =19\)
Which numbers are rational?
Select each number that is correct.
23.429
10
13
151
8/7
-4.93
Answer:
All of them.
Step-by-step explanation:
Rational numbers are defined as the numbers that can be expressed as the ratio of two integers(a/b) where b must be a non-zero number. The rational numbers display a terminating characteristic and they also contain repeating, as well as, recurring digits. All the given numbers are rational as they can be written in the form of p/q.
23.429 = It can be written as a fraction. So, it is a rational number.
10 = 10 is a whole number and it can be written in the form of a/b i.e. 10/1. So, it is a rational number.
13 = 13 also can be written in ration form as 13/1. Therefore, it is also a rational number.
151 = It can be written as 151/1. Hence, it is a rational number.
8/7 = It is already mentioned in the form of a/b. So, it is a rational number.
-4.93 = since it is an integer, it will surely be a rational number.
write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.
Answer:
x = 2
Step-by-step explanation:
8 = 6x + -2x
8 = 4x
8 = 4x
4 4
2 = x
37 - 6 * 4 + 32 / 8 working pls
Answer:
17 is the answer
Step-by-step explanation
Answer:
17
Step-by-step explanation:
This is order of operation so you use bidmas (brackets, indicies, division /multiplacation, subtraction/addition). You go from left to right so if there is both a multiplication factor in your equation you go from left to right.
37 - 6 * 4 + 32 / 8
= 37 - 24 + 32/8
= 37 - 24 + 32/8
= 37 - 24 + 4
= 13+4
= 17
Find the margin of error for the 95% confidence interval used to estimate the population proportion. )n=460, x=60
The counting numbers are also called ______ integers
Answer:
A "Positive Integer"
Step-by-step explanation:
the digram shows AWXY which term describes point Z?
Answer:
Centroid
Step-by-step explanation:
Content
Calculator
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m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step. Brain list will be given if answered right
Answer:
x = 1
Step-by-step explanation:
5(2x - 8) + 15 = -15
First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.
5(2x - 8) + 15-15 = -15-15
5(2x-8) + 0 = -30
5(2x-8) = -30
Now let's expand that first term.
5(2x)-5(8) = -30
10x - 40 = -30
Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.
10x - 40 + 40 = -30 + 40
10x -0 = 10
10x = 10
Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.
10x/10 = 10/10
x = 1
The answer is x = 1.
Let's check if our answer is correct!
Original equation: 5(2x - 8) + 15 = -15
Substitute 1 for x.
5(2*1-8) + 15 =
5(2-8) + 15 =
5(-6) + 15 =
-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.
please answer this correctly
Answer:
557
Step-by-step explanation:
l x w
13x24
13x7
22x7
557
Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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Professor Cramer determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 3%, each paper is worth 9%, each test is worth 17%, and the final is worth 28%. (a) What is the average for a student with 81 on attendance, 90 on the first paper, 92 on the second paper, 86 on test 1, 71 on test 2, 93 on test 3, and 62 on the final exam
Answer:
78.67
Step-by-step explanation:
The computation of the average for a student is shown below:
= Different Weights × different activities
= (3% × 81) + (9% × 90) + (9% × 92) + (17% × 86) + (17% × 71) + (17% × 93) + (28% × 62)
= 2.43 + 8.1 + 8.28 + 14.62 + 12.07 + 15.81 + 17.36
= 78.67
Hence, the average of the student is 78.67
We simply applied the above formula
Which of the following equations is equivalent to 4(6p – 3) = 26?
A: 10p – 1 = 26
B:24p – 12 = 26
C: 10p – 7 = 26
D: 24p – 3 = 26
Answer:
B. 24p - 12 = 26
For both 4(6p – 3) = 26 and 24p - 12 = 26, \(p = \frac{19}{12}\)
I hope that this helps you!
Answer:
B:24p – 12 = 26
Step-by-step explanation:
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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Cooper has $200 in a savings account. The interest rate is 10% per year and is not compounded. How much interest will he earn in 1 year? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
The interest is $20 per year
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
using the formula you gave, you can plug in the numbers, i=200 * .10 * 1 since you start with 200 dollars, have a 10% interest rate, and it has been one year, then solve to get 20
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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The total revenue for Jane's Vacation Rentals is given as the function R(x)=400x−0.4x2
, where x is the number of apartments booked. What number of apartments booked produces the maximum revenue?
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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HELP ME PLSSSS !!!!!!!
Answer:
I'll help you need to square it on a calculator
Answer:
\( {4x}^{9} \)
Step-by-step explanation:
\( {2x}^{5} \times {2x}^{4} = {2 \times 2 \times x}^{5 + 4} = {4x}^{9} \)
please mark as BRAINLIEST if this solves your problem
A cycle wheel does 2169 full turns in 9 minutes. Work out the number of full turns per minute
Answer:
241 per min
Step-by-step explanation:
just take 2169/9 and get 241 per min
Answer:
241 turns in 1 minute.
Step-by-step explanation:
to find the answer 241 you need to divide 2169 by 9 which will get you 241 turns
So the wheel does 241 turns a minute.
HOPE IT HELPS YOU PLEASE MARK AS BRAINLIESTThe units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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8÷3/5=_____
In a fraction form
PLZ I NEED HELP
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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