The simplified form of the expression as a fraction is -43/390.
Solving expressions and simplifying fractionsFractions are expression written as a ratio of two integers. For instance, a/b are known as fractions.
Given the expression below:
[2-|-2/3-2(-1/5)|]÷(-13)
In order to solve the expression, we will use the PEMDAS rule to have:
[2-|-2/3-2(-1/5)|]÷(-13)
[2-|-2/3+1/10)|]÷(-13)
Find the LCM
[2-|-20+3/30|]÷(-13)
[2-|-17/30|]÷(-13)
[2-(17/30)]÷(-13)
[60-17/30]÷(-13)
43/30÷(-13)
Change the division sign to multiplication
43/30÷(-13)
43/30 * -1/13
-43/390
This gives the simplified form of the expression.
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The scores for 21 students on an exam are summarized
in the stemplot below.
Exam Scores
4
5
69
7 125567
8012455699
9
90147
Key: 910 = 90% on the exam
The teacher realizes that a mistake was made and the
student whose score was recorded as 49% should have
been 69%. If the mistake is corrected, what effect will
this have on the mean and median scores?
The mean and median will both increase.
* Neither the mean nor the median will change.
The mean will increase but the median will
decrease.
The mean will increase but the median will be
unchanged.
It’s D :)
The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.
What are mean, median and mode ?The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.
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Answer:
IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
What is the average of the expressions 2x+5, 5x-6, and -4x+2
Answer:
x+1/3
Step-by-step explanation:
Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions
help me these two questions please
The values are given as;
1. - 2a - 9 = 6a + 15, a = -3
2. 14 + 3n = 5n - 6, n = 10
What is an algebraic expression?An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;
ParenthesesAdditionsubtractionBracketDivisionMultiplicationThey are also known to be made up of terms, variables, constants, factors and coefficients.
Given the algebraic expression;
- 2a - 9 = 6a + 15
Let's take the following steps;
collect like terms
- 2a - 6a = 15 + 9
add or subtract like terms
-8a = 24
Make 'a' the subject
a = 24/-8
Find the quotient
a = -3
14 + 3n = 5n - 6
collect like terms
3n - 5n = -6 - 14
-2n = -20
Make 'n' the subject of formula
n = 10
Hence, the values are -3 and 10
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x-3 divided by x^2 + 5x + 2
Answer:
[tex]6x - \frac{3}{X^2} + 2[/tex]
Step-by-step explanation:
Hope this is correct and helps you! :))
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7
What is (30 x 10 to the power of 6) + (40 x 10 to the power of 5)
Answer: 7.3924E14
Step-by-step explanation:
Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units
The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units , the correct option is (D) .
If the equation of the circle is x² + y² + 2fx + 2gy + c = 0
then the center is (-f,-g)
and the radius is √(f²+g²-c)
In the question ,
it is given that the
equation of the circle is x² + y² + 14x + 2y + 14 = 0
So , on comparing it with the general form of equation , we get
2f = 14
f = 7
and 2g = 2
g = 1
hence, the center is (-7,-1) .
the radius is √(7² + 1² - 14)
= √(49 + 1 - 14)
= √(50 - 14)
= √36
= 6
Therefore , The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units .
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evaluate (8+2)³-6 pla help me thanks
Answer:
994
Step-by-step explanation:
work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994
Answer:
994
Step-by-step explanation:
PEDMAS
Do the math inside the parentheses first
8+2 = 10 Now do the exponent 10^3 = 1000 Now subtract 6 = 994
The segments shown below could form a triangle 6 5 8 true or false
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
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True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
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Use the order of operations to evaluate.[tex]16.5 + ({62 }^{2} - 15.6) - 2[/tex]
Thus, the final answer is 34.9.
2.
[tex]16.5+(6^2-15.6)-3=16.5+(36-15.6)-3[/tex]Select the correct words in the problem so no answers are duplicatedIdentify the different parts of the expression below.3.9253g2 + 8(24 – 2p)nee eduseIn the mathematical expression,2p represents aA difference24 - 2p represents adifferencecoefficient® coefficientproduct© product2sumquotientOsumquotient53p2represents aA difference® coefficientod productosumquotient3 represents a A differenceclercoefficienta© productOsum© quotient
Explanation
To answer the question, we have to understand the different parts of an algebraic expression
An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
We are given the algebraic expression:
[tex]\frac{3p^2}{5}+8(24-2p)[/tex]For the given question
The difference means the result of subtracting one number from another or How much one number differs from another, so we have
[tex]24-2p\text{ representing Difference}[/tex]Then
The coefficient is is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial, so we have
[tex]3\text{ representing coefficient}[/tex]Also
A quotient is a number resulting from the division of one number by another, so we have
[tex]\frac{3p^2}{5}\text{ representing a quotient}[/tex]Finally,
A product is the result of multiplication or an expression that identifies factors to be multiplied.
Thus, we have
[tex]2p\text{ representing a product}[/tex]Suppose that 13 inches of wire costs 52 cents.
At the same rate, how many inches of wire can be bought for 36 cents?
Answer:
9 inches
Step-by-step explanation:
Set it up like a fraction ratio and solve for x. as the price (denominator) and amount (numerator) have a set ratio, you can cross-multiply for your answer.
[tex]\frac{13}{52} =\frac{x}{36\\}\\[/tex]
13*36 = 468
468/52 = 9
Another way would be to divide 13 by 52 and multiply by 36, but then you end up with decimals and cross multiplication will be easier in the long run.
2. Evaluate the expression
4 (-1.2-4-4.75) +1+(-3)².
Answer:
-29.8
Step-by-step explanation:
4 (-1.2-4-4.75) +1+(-3)²
4 (-1.2-4-4.75) +1+(-3)²
4 (-9.95) +1+9
4 (-9.95) +1+9
-39.8 +1+9 = -29.8
Question 18 of 25
What are the more appropriate measures of center and spread for this data
set?
H
16
22 24 26
0246 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: standard deviation
B. Better measure of center: mean
Option C and Option D are the appropriate measurements of center and spread for the dataset.
What are the best measures of center and spread of the data?The mean, median, and mode are three examples of center-of-data measurements.
Included in the spread measurements are range, mean deviation, variance, and standard deviation.
The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.
The median is the most accurate measurement of the middle of the data.
The interquartile range is the appropriate way to measure spread.
In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.
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1.5x+0.5y=12
a. solve for y
b. find ordered pairs for the function
Answer:
Step-by-step explanation:
y=-3x+24
(0,24)
Twenty years from now I will be 4 times as old as my present age what is my present age
approximately 7 years old
Step-by-step explanation:
A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function ��(��) =− 2�� , where x is the price of each bicycle. Which of the 2+ 920�� + 84, 000 following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?
Answer:120 dollars
Step-by-step explanation:
Answer the question below
I’m very confused with this question, I tried to do it but I just have slight feeling I got this wrong and I want to double check make sure my answer is correct. Would you please me help me thank you very much
The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:
i⁰ = 1 (any number with the exponent 0 equals 1)
i¹ = i (any number with the exponent 1 is the number itself)
i² = -1 (this follows from the definition of the imaginary number, the square root of -1)
i³ = i² * i = -1 * i = -i
Now, the results start to repeat from 1 to -i:
i⁴= i² * i² = (-1) * (-1) = 1
i⁵ = i⁴ * i = 1 * i = i
i⁶ = i * i⁵ = i * i = i² = -1
i⁷ = i⁶ * i = -1 * i = -i
From that, we can follow the steps below to find the value of a power of i:
• divide the exponent by 4;
,• if the rest of the division is 0, then the power equals ,i⁰ = 1,;
,• if the rest of the division is 1, then the power equals ,i¹ = i,;
,• if the rest of the division is 2, then the power equals ,i² = -1,;
,• if the rest of the division is 3, then the power equals ,i³ = -i,.
So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:
• 649/4, has a quotient of 162 and the, rest 1,. Therefore:
i⁶⁴⁹ = i¹ = i
Thus, i⁶⁴⁹ equals i.
Write answer in scientific notation
(1.94 × 10³) (8 × 10")
Scientific notation the
2
The graph of a linear function is shown
below. What is the domain of the
function?
Answer:
G
Step-by-step explanation:
the domain is the interval or set of all valid x values.
we see x starts at -3 and goes up to +1.
but x = 1 has the be excluded (the hollow point tells us that, a filled point says "include").
therefore, the -3 <= x < 1 answer is correct
what is the missing measurement (w) for the poster of spongebob.
To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)
This is:
[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]the slop of (10,8) and (1,9)
Answer:
slope = -1/9
Step-by-step explanation:
Hope this helps!!!
a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
According to the newsletter publisher that 33% of their readers own a Rolls Royce.
The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,
Null hypothesis:
H₀ : p = 0.33
Alternative hypothesis:
H₁ : p ≠ 0.33
We reject H₀ at the 0.10 level of significance.
Therefore, There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
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if 124 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $274, how many of each went to the concert?
Answer: (52,72) (52 adults and 72 children)
Step-by-step explanation:
1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.
2) Take those formulas and input them into a graph as shown in the picture (Graph 1)
3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)
4) The common point is (52, 72)
And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124
Hope this helps :)
Help in this asap due soon
Answer:
Q4) 20
Q5) 48%
hope this helps
Find an equation for the perpendicular bisector of the line segment whose
endpoints are (-3, 2) and (7, 6).
Answer:
The perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is y = - 2.5x + 9================
Given Points (-3, 2) and (7, 6)To findThe equation of the perpendicular bisector of the segment with given endpoints.SolutionFind the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.
The midpoint has coordinates:
x = ( - 3 + 7)/2 = 4/2 = 2,y = (2 + 6)/2 = 8/2 = 4.The slope:
m = (6 - 2)/(7 - (-3)) = 4/10 = 2/5We know perpendicular lines have opposite/reciprocal slopes.
So the slope of the perpendicular bisector is:
m = - 1/ (2/5) = - 5/2 = - 2.5Use the coordinates of the midpoint and point-slope equation to determine the line:
y - 4 = -2.5(x - 2)y - 4 = - 2.5x + 5y = - 2.5x + 5 + 4y = - 2.5x + 9Answer:
[tex]y=-\dfrac{5}{2}x+9[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.
Given endpoints of the line segment:
(x₁, y₁) = (-3, 2)(x₂, y₂) = (7, 6)Substitute the given endpoints into the slope formula to find the slope of the line segment:
[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the perpendicular line is -⁵/₂.
Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]
To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]
[tex]\implies y=-\dfrac{5}{2}x+9[/tex]
Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:
[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the Cost of the small greeting card = is $1.25 .
The Cost of the large greeting card =$4.50.
We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.
The Cost of 5 small greeting cards = 6.25
The Cost of 4 large greeting cards = 18
Then the Total cost = $6.25+ $18 =$24.25
Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.
Now, the total cost of x small and y large greeting cards will be;
Cost of x small greeting cards = 1.25x
Cost of y large greeting cards = 4.50y
Total cost = 1.25x + 4.50y
Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
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1. In polynomial x - 12; 12 is a ______
Answer :- Constant term
In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.
Use the order of operations to demonstrate that the Distributive Property holds by showing that both sides of each equation are equal.
RHS= 2*4/5*3+2*1/5*3
= /15+2/15
= +2/15
= /15
= /3
Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.
Left-hand side:The left-hand side of the expression is defined as follows:
2/5(4/3-1/3)
Applying the distributive property, 2/5 multiplies each term as follows:
2/5(4/3-1/3) = 8/15 - 2/15
(multiplication of fractions -> multiply numerators and denominators with themselves).
They have common denominator, then the subtraction of the fractions is calculated as follows:
2/5(4/3-1/3) = 8/15 - 2/15 = 6/15
6 and 15 are divisible by 3, hence the fraction is simplified as follows:
6/15 = 2/5.
Right-hand sideThe right-hand side of the expression is given as follows:
2/5 x 4/3 - 2/5 x 1/3
We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:
2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15
Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.
Missing information2/5(4/3-1/3)=2/5*4/3-2/5*1/3
We need to solve:
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