11/3 is the additive inverse of 3/-11.. This means that the two numbers have an equal but opposite value. They have the same absolute value but opposite signs.
The additive inverse of a number is the number that when added to the original number, the sum is equal to zero. To find the additive inverse of 3/-11, we need to find the number that when added to 3/-11 will equal zero.
To begin, we need to know the signs of each number. The first number, 3, is a positive number, and the second number, -11, is a negative number. Because the signs of the two numbers are different, we will need to switch the signs in order to find the additive inverse.
11/3 is the additive inverse of 3/-11.. This means that the two numbers have an equal but opposite value. They have the same absolute value but opposite signs. To verify this, we can add 3/-11 and 11/3. When we do this, we find that the sum is zero. Therefore, 11/3 is the additive inverse of 3/-11.
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A student is overheard saying: "I don't need to learn the Primary Trig Ratios. I am just going to use the Sine
and Cosine Laws to solve problems." Show by example that the student is right. Explain the advantages and
disadvantages to this approach. Step by step. Thank you!
The sine and cosine rule is typically used to find the measure of angles in trigonometry.
How to illustrate the trigonometry?It should be noted that the sine rule is used when we are given:
two angles and one side.two sides and a non included angle.The cosine rule is used when we are given:
there sides two sides and the included angle.The advantage is that it can help us understand the connections between the sides and their angles.
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A popular roller coaster ride lasts 10 minutes. There are 20 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time
There are 2 people are stepping onto the roller coaster per minute at peak time
According to statement
Given Flow time = 10 minutes.
Given Inventory = 20.
We use the formula then
I = R × T,
Therefore R = I / T.
Substitute the values in formula then
Flow rate = 20 / 10 = 2 people per minute.
So, There are 2 people are stepping onto the roller coaster per minute at peak time
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PLEASE HELP Which answer provides a counterexample to the following statement: "If a figure has an endpoint,
then it is a line segment"?
Answer:
ray
Step-by-step explanation:
Rays only have one endpoint, so it continues infinitely in one direction. Segments have TWO endpoints.
A data set that includes the values given by customers to determine their level of satisfaction with their purchases. the scale used is very satisfied, somewhat satisfied, somewhat dissatisfied, and very dissatisfied. the data of the customer responses would be classified as what type of data
The data of the customer responses would be classified as ordinal data.
What is ordinal data?Ordinal data is a category of categorical data that has a predetermined order or scale. Ordinal data, for instance, is said to have been gathered when a respondent rates their level of financial contentment on a scale from 1 to 10. There is no established scale for measuring the variance of each score in ordinal data.
Ordinal data is a categorical statistical data type when the distances between the categories are unknown and the variables have naturally occurring, ordered categories. On an ordinal scale, these data are available. By having a ranking, the ordinal scale differs from the nominal scale.
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Total area=
Help me please thanks so much :)
The surface area of the square pyramid is: 220 units².
What is the Surface Area of a Square Pyramid?Surface area of a square pyramid = 1/2(base perimeter)(slant height) = 1/2(P)(l).
Given the following:
Perimeter of base (P) = 4(10) = 40 units
Slant height (l) = 11 units
The surface area of the square pyramid = 1/2(40)(11)
Surface area of the square pyramid = 220 units²
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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a=7 feet and b=7 feet, what is c? if necessary, round to the nearest tenth.
The length of hypotenuse when the value of legs of a right angled triangle are 7 and 7 feet is 9.9 feet.
Given that a and b are legs and c is the hypotenuse. length of legs of a right angled triangle are 7 feet and 7 feet.
We have to find the value of c in the right angled triangle.
In this we have to apply pythagoras theorem because it says tat the square of hypotenuse is equal to the sum of squares of base and perpendicular of that right angled triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex]
H=c
P=7 feet
B=7 feet.
Put the values in the above rule:
[tex]c^{2} =7^{2} +7^{2}[/tex]
[tex]c^{2}[/tex]=49+49
[tex]c^{2}[/tex]=98
c=9.899
After rounding off to nearest tenth we will get c=9.9.
Hence the value of c is 9.9 which is the length of hypotenuse.
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If the average (arithmetic
mean) of 2, 7, and x is 12,
what is the value of x?
Answer: 27
Step-by-step explanation:
Mean = Sum of data/Number of data = (2 + 7 + x)/3 = 12
(x+9)/3 = 12
x+9 = 36
x = 27
Find Q2 of the following data set 3, 9, 12, 4, 6, 40, 25, 14, 10
Answer:
Q₂ = 10
Step-by-step explanation:
Given data set: 3, 9, 12, 4, 6, 40, 25, 14, 10
Q₂ is the median (the middle value) of the given data set when the data set is ordered from smallest to largest.
Order the values in the data set:
3, 4, 6, 9, 10, 12, 14, 25, 40
As the number of values is odd, the middle value is the 5th value.
Therefore, the median (Q₂) of the given data set is 10.
If the number of data values is even, and therefore there are two middle values, the median is halfway between them.
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. which expression represents the probability that both students chosen are sophomores? startfraction (20 c 6) (19 c 5) over 20 c 2 endfraction startfraction (20 p 6) (19 p 5) over 20 p 2 endfraction
The probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
How to determine the probability expression?The given parameters are
Sophomore = 6Freshmen = 14The total number of people is
n = 20
2 of the 20 people are to be selected.
So, the number of selection is
[tex]n = ^nC_r[/tex]
This gives
[tex]n = ^{20}C_2[/tex]
The expression that represents both students being sophomore is
[tex]n = ^{6}C_2[/tex] --- i.e. 2 students selected from 6
The probability is then represented as:
[tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
Hence, the probability expression is [tex]\frac{^{6}C_2}{^{20}C_2}[/tex]
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Answer:
a
Step-by-step explanation:
edge 2023
Which expression is equivalent to (r^5/4
Answer:
2
Step-by-step explanation:
• Multiplying two numbers with same bases is the same as adding their powers:
∴ [tex](\frac{4^{\frac{5}{4} } \cdot 4^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]
⇒ [tex](\frac{4^{\frac{5}{4} } ^ + ^{\frac{1}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]
⇒ [tex](\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]
• Dividing two numbers with same bases is the same as subtracting their powers:
∴ [tex](\frac{4^{\frac{6}{4} }}{4^{\frac{1}{2} }})^{\frac{1}{2} }[/tex]
⇒ [tex](4^{{\frac{6}{4} - \frac{1}{2} }})^{\frac{1}{2} }[/tex]
⇒ [tex](4^{1})^{\frac{1}{2} }[/tex]
⇒ [tex]4^{\frac{1}{2}[/tex]
• Raising anything to the power of [tex]\frac{1}{2}[/tex] is the same as square-rooting it:
∴ [tex]4^{\frac{1}{2}[/tex]
⇒ [tex]\sqrt{4}[/tex]
⇒ 2
What is the GCF of:
9a^4b^4 - 27a^3b^3
Answer:
9a^3b^3
Step-by-step explanation:
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number
Find the prime factors of each term in order to find the greatest common factor (GCF).
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue
(C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.
What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.To find what fraction of the marbles now in the bag is blue:
Important information is that immediately before the last step blue marbles formed [tex]\frac{1}{5}[/tex] from the marble in the bag. That means that there were [tex]x[/tex] blue and [tex]4x[/tex] other marbles, for some [tex]x[/tex]. When we double the number of blue marbles, there will be [tex]2x[/tex] blue and [tex]4x[/tex] other marbles. Hence, blue marbles now form [tex]\frac{1}{3}[/tex] all marbles in the bag.Therefore, (C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.
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Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
Please answer both questions.
Answer:
1) (x-6)^2=49
2) C
Step-by-step explanation:
Subtract 12 x and you get
-x^2-12x+13=0
You will be left with, after making a perfect square
(x-6)^2=49
To get rid of the squared/2nd power, add plus or minus to the opposite side and square root both sides. You will be left with
x-6=plus or minus 7
Your answer comes out to the to problem. Setting both to 0, you get -13, and 1. -6 plus 7 is 1, and -6 plus a -7 is -13.
C
The graph of f(x) is shown.
O-4,0,2
For what values of x does f(x) = 0?
O-2.0.4
O-5.0.17
45
O-17.0.5
40 bcpp
Answer: -4, 0, 2
Step-by-step explanation:
The graph intersects the x-axis at [tex]x=-4, x=0, x=2[/tex].
Which equation is equivalent to: 3r = 78 + 14 ?
A. −3r =−78+14
B. 3r =78−14
C. 3r−14 =78
D. −3r =78−14
Answer:
Step-by-step explanation:
B is the answer
One column of numbers consists of 28,42,14. When the digits of the numbers are added together, the result is 2+8+4+2+1+4=21, and when the digits of 21 are then added together, the end result is 2+1=3. If the same process is performed on the numbers in a second column, what can be concluded?
Option D. What we can conclude is that If the end result from the second column is not 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.
How to solve for the solutionAn operation is done on a first column of numbers. When this operation is repeated on the second column, we would have option D.
If the sum of the numbers that are in the third can be seen to be greater than three, then the sums are not going to be seen as equal
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Complete questionOne column of numbers consists of 28, 42, and 14. When the digits of the numbers are added together, the result is 2 + 8 + 4 + 2 + 1 + 4 = 21, and when the digits of 21 are then added together, the end result is 2 + 1 = 3. If the same process is performed on the numbers in a second column, what can be concluded?
A. If the end result from the second column is also 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.
B. If the end result from the second column is not 3, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column.
C. If the end result from the second column is also 3, then the sum of the numbers in the first column is equal to the sum of the numbers in the second column.
D. If the end result from the second column is not 3, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.
A sales tax of P9,000 is added to a purchase of P120,000 worth of
jewelry. What is the rate of sales tax?
Answer:
Find the rate of sales tax
R= 9000/120000
=0.075
=7.5%
So, the rate is 7.5%
A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. The interval that is 95% certain to contain the proportion of all 18-24 year olds who believe that their health is extremely important is
Between 48% and 54% believe that their health is extremely important.
According to the statement
Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.
Here
Sample size n =1001
sample proportion p = 0.51
By these values we calculate the Standard error of proportion.
So, Standard error of proportion = 0.0158.
Since sample size is sufficiently large we can take Z critical value for confidence interval
Z critical value for 95% = 1.96
Margin of error = ±1.96*std error
= ±0.0310
confidence interval = 0.51 ±0.0310
= (0.48, 0.54)
So, Between 48% and 54% believe that their health is extremely important.
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Solve for x in the equation x squared 11 x startfraction 121 over 4 endfraction = startfraction 125 over 4 endfraction.
The solutions are { -1,-11}
Lets solve the given equation:
x^2 + 11x + 121/4 = 125/4
Subtracting 125/4 from both sides:
=>x^2 + 11x + 121/4-125/4= 125/4 -125/4
=> x^2 + 11x - (-4/4) = 0
=> x^2 +11x -(-1) = 0
=>x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinant (b^2-4ac)
a = 1
b = 11
c = 1
b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
x = (-b -/+ √(b^2-4ac) ) / 2a
x = (-11 -/+ √(117) ) / 2
x = (-11 -/+ 3√(13))/ 2
x = -0.91 or x = -10.9
x = -1 or x = -11 ( rounding off)
hence the solutions are { -1,-11}.
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WILL GIVE BRAINLIEST! I’m desperate for help! This assignment is due today I’m stuck! Pls help!
Which expression represents the following statement? Multiply 6 by 3, and then subtract the quotient of 18 and 9.
6 x (3 ÷ 18) + 9
6 + 3 + (18 ÷ 9)
(6 x 3) − 18 ÷ 9
6 x (3 + 18) + 9
Answer:
Step-by-step explanation:
the third one is correct
[tex]6 \times 3 - \frac{18}{9} \\ (6 \times 3) - (18 \div 9)[/tex]
make x the subject! w/ show work
Consider this expression.
x
2
+
x
−
72
Replace the values of a and b to rewrite the given expression.
Answer:
(x+9) (x-8)
Step-by-step explanation:
Edmentum/Plato
In which diagram do angles 1 and 2 form a linear pair?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return
The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Given that angle 1 and 2 form a linear pair.
We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.
In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.
In first part when two lines intersect they donot form 4 angles.
In second part when 3 lines extend from a point they don't form right angle between the lines.
Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
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Miguel is making pudding. The recipe yields
6 servings and calls for 2
cups of milk. How
many cups of milk will Miguel need for 18
servings of pudding?
Using the given recipe, he will need 6 cups of milk to make 18 servings.
How many cups of milk will Miguel need for 18 servings of pudding?We know that the recipe for 6 servings, calls for 2 cups of milk.
Miguel wants to do 18 servings, Then he needs to use the recipe:
18 = x*6
Solving the linear equation for x:
x = 18/6 = 3
So he needs to use his recipe 3 times.
And we know that for 6 servings he needs 2 cups of milk, then for 18 he needs:
3*(2 cups) = 6 cups of milk.
Using the given recipe, he will need 6 cups of milk to make 18 servings.
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The theater club of a local high school is planning a production. The amount of time t needed to assemble the set is inversely proportional to the number of people n working. Twelve people can assemble the set in 5 hours.
Write an equation to represent the situation.
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More than 93 percent of all blank______ are distributed as freestanding inserts in newspapers
More than 93 percent of all blank coupons are distributed as freestanding inserts in newspapers.
What is percent?
A percentage solution is a chemical or compound amount or volume per 100 mL of solution. It is a proportion of solute to solvent: X amount/100 ml = X% Percentage solutions are a simple and convenient way to record solution concentrations.A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. It is denoted by the symbol "%."To learn more about percentage visit:
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Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
15.78°
Step-by-step explanation:
Let the angle be x.
From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)
Therefore, The trigonometric ratio is the tangent ratio.
tan x = O/A
tan x =13/46
x = 15.78°
Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained. (Please help and explain.)
How fast did Sean drink?
How long did it take Sean to drink all the slushy?
The rate at which Sean drank the slushy is 5 milliliters per second.
The time it would take to drink all the slushy is 55 seconds.
How fast did Sean drink?In order to determine the speed at which the slushy was drank, divide the slushy drank in 13 seconds by 13 seconds.
Speed = slushy drank in 13 seconds / time
(275 - 210) / 13
65 / 13 = 5 milliliters per second
Time it would take to drink all the slushy =total milliliters of the slushy / speed
275 / 5 = 55 seconds.
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Drag the tiles to the correct boxes to complete the pairs.
Given: u = <-2, -7>, v = <3, -4>, and w = <5, 1>.
Based on the components of the given vectors, match each vector subtraction with the graph of the resulting vector.
Please help me figure out the correct pairs, godbless the one who answers! (See images attached)
Performing subtraction operations on the given vectors gives;
Graph 1 → u - vGraph 2 → u - wGraph 3 → w - vGraph 4 → v - u Which method can be used to complete the pairs correctly?
u - v = <-2 - 3, -7 - (-4) > = <-5, -3>
Therefore;
Graph 1 → u - vu - w = <-2 - 5, -7 - 1> = <-7, -8>
u - w = <-7, -8> which corresponds with graph 2
Therefore;
Graph 2 → u - ww - v = <5 - 3, 1 - (-4)> = <2, 5>
w - v = <2, 5> which corresponds with graph 3
Therefore;
Graph 3 → w - vv - u = <3 - (-2), -4 - (-7)> = <5, 3>
v - u = <5, 3> which corresponds with graph 4
Therefore;
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If the variance of a security is 0.01545, what is the standard deviation?
A. 0.1545
B. 0.1243
C. 0.0155
D. 0.1121
The standard deviation is 0.1243, given the variance to be 0.01545, making option B the right choice.
Dispersion is measured by variance. A metric called a "measure of dispersion" is used to assess how variable data are concerning an average value. There are two sorts of data: grouped and ungrouped. Data is referred to as grouped data when it is presented as class intervals. On the other hand, it is referred to as ungrouped data if it comprises just individual data points. For both types of data, the sample and population variances may be calculated.
The variance of the provided data is obtained by taking the square of the standard deviation. The standard deviation is used to determine how widely distributed the data points are about the mean. In other words, the standard deviation is used to determine how observations in a data collection deviate from the mean. While the standard deviation has the same unit as the population or the sample, variance is represented in square units.
In the question, we are asked to find the standard deviation, if the variance is 0.01545.
We know that Variance = (Standard Deviation)².
This gives us:
Standard Deviation = √Variance,
or, Standard Deviation = √0.01545,
or, Standard Deviation = 0.12429802894 ≈ 0.1243.
Thus, the standard deviation is 0.1243, given the variance to be 0.01545, making option B the right choice.
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