For any real number √a²
a
- |al
lal.
-a
Answers
Answer:
|a|
Step-by-step explanation:
For any positive or negative a, when you square it, the answer is positive.
The square root symbol means the principal square root. For a positive number, the principal square root is positive. To make sure the square root is always non-negative, use absolute value.
Answer: |a|
Related Questions
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
Answers
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?
Answers
29 years from now, the father will be 49 years old.
Let's start by setting up the given information:
Currently, the father is 20 years old, and the son is 5 years old.
In 10 years, the father will be twice as old as the son.
The father is currently four times as old as the son.
Determine the age of the father and son in 10 years:
In 10 years, the father's age will be 20 + 10 = 30 years.
In 10 years, the son's age will be 5 + 10 = 15 years.
Write equations based on the given information:
The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.
The father's current age is four times the son's current age: 20 = 4 × 5.
Solve the equations:
From the second equation, we find that the son's current age is 5 years.
Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).
Simplifying further, we have: 30 = 2 × 15, which is true.
Determine the current age of the son in 29 years:
The son's current age is 5 years.
Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.
Determine the current age of the father in 29 years:
The father's current age is 20 years.
Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.
Therefore, 29 years from now, the father will be 49 years old.
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A task force to encourage car pooling did a study of of one-way commuting distances of workers in the downtown Dallas area. A random sample of 60 workers was taken. The results are below:One-Way Commuting Distance (miles) Mean12.03333333Standard Error0.712268068Median14Mode16Standard Deviation5.517204729Sample Variance30.43954802Kurtosis-0.84324231Pearson's-1.069382104Range19Minimum1Maximum20Sum722Count60True or False
Answers
Answer:
TRUE
Step-by-step explanation:
using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468
hence the correct option is TRUE
One way commuting is traveling of passengers using a single lane in both directions
A number is multiplied by 2, and then the product is added to 9. The result is 49.
What is the number?
Answers
Answer:
7
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
(20 x 2 = 40) (40 + 9 = 49)
GIVING BRAINLIST PLEASE HELP!!!
Answers
The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %
How to find the probability ?The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.
This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :
= Angle measure of red - shaped area / Total area x 100 %
= 165 / 360 x 100 %
=0. 45833 x 100 %
= 45. 833 %
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3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
Answers
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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Use the figure below to find the values of x and y
Answers
Answer:
x=68 and y = 112
Step-by-step explanation:
angles of a triangle must equal 180, so
52°+60°+x°=180
112+x=180 <-- subtract 112 to get x on one side.
x=68
To solve for y, a straight line = 180 so
68+y=180 --> just subtract 180-68
y=112
a gift box has the shape of a cube. the length of each side is 10.5 cm. what is the volume of the gift box?
Answers
Answer:
Volume = 1,157.625cm^3
Step-by-step explanation:
A cube means all sides (length, width, and height) are the same measurement. Since we are given one measurement (length = 10.5cm), all sides will be the same measurement.
Formula for volume:
Volume = length × width × height
v = l × w × h
v = 10.5cm × 10.5cm × 10.5cm
v = 110.25cm^2 × 10.5cm
v = 1,157.625cm^3
The unit will always be to the third power because the formula calls for multiplying the same unit (in this case, cm or Centimeters) three times. cm × cm × cm = cm^3
the function shown is in the form y= ( x - h)² Determine the value of h.A) -1 B) 1C) 2D) -1/2
Answers
INFORMATION:
We have the graph of a function that has the form y = ( x - h)² and we must find the value of h.
STEP BY STEP EXPLANATION:
we can see that the graph is a parabola which its vertex is at the point (2, 0)
Now, having this point we can replace the values of its components in the formula of the function
Since the point is (2, 0), then x = 2 and y = 0
\(0=(2-h)^2\)Finally, we must solve the equation for h
\(\begin{gathered} 0=(2-h)^{2} \\ \sqrt[]{0}=2-h \\ 0-2=-h \\ 2=h \\ h=2 \end{gathered}\)ANSWER:
C) 2
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?
Answers
Alonso paid for repairs on his car, and 3
5
of the bill was for labor costs. How much was the total bill if the cost of the labor was $79.50? Let b = the amount of the total bill.
Which equation and solution is correct?
Five-thirds b = 79.50, and the total bill was $47.70.
Three-fifths (79.50) = b, and the total bill was $127.20.
Five-thirds b = 79.50, and the total bill was $212.00.
Three-fifths (b) = 79.50, and the total bill was $132.50.
Answers
Answer:
The answer to you question is D or the last one.
Step-by-step explanation:
I took the test on Edg
The equation that represent this situation is (3/5) * b = 79.50
Equation
An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.
For a labor of $79.50
(3/5) * b = 79.50
The equation that represent this situation is (3/5) * b = 79.50
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Leyla earned $320 for doing chores around the house for
16 weeks. On average, how much did she earn per week?
Answers
Answer:2.00
Step-by-step explanation:
Answer:20
Step-by-step explanation:
Simplify the expression:
1x+10y=4+3
Answers
Answer:
Simplify the expression:
1x+10y=4+3
Step-by-step explanation:
1 : x+10y=4+3
x+10y=4+3
x+10y=7
x+10y-10y=7-10y
x=7-10y
hope it helps
Answer:
x=7-10y
Step-by-step explanation:
Add the numbers with no variables:
4+3=7
1 and x are the same so the 1 cancels out u get x and since your solving for x you would put x=:
Since you got rid of the would you have to swap the equations around:
x=7-10y
What is the surface area of this rectangular prism?
Answers
Answer:
it's simple math honey, just look it up
The diagram shows the dimensions of a wall with a rectangular window. Penn needs to paint just the wall.
What is the area of the wall that Penn needs to paint?
93 square feet
97 square feet
104 square feet
111 square feet
2 ft
13 ft
32 ft
8 ft
Answers
Answer:
b 97 ft²
Step-by-step explanation:
he needs to paint the big rectangular wall minus the small rectangular window.
so, the painting area is
13×8 - (3 1/2)×2 = 104 - (7/2)×2 = 104 - 7 = 97 ft²
The fraction of people doing any activity is equal to the fraction of time it takes to do that activity. In symbols, N/Ntotal = T/Ttotal.
Estimate the number of people running right now.
Answers
Answer:
Unfortunately, without additional information or data, it is not possible to estimate the number of people running right now using the given equation N/Ntotal = T/Ttotal.
The equation only relates the fraction of people engaged in an activity to the fraction of time spent on that activity. It does not provide any information about the actual number of people or the total population size.
To estimate the number of people running right now, we would need additional data, such as the total population size, the fraction of people who typically engage in running as an activity, and the total time spent running by the people who do engage in the activity.
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SOMEONE HELP I KNOW SECTION A IS 27,500 BUT I DONT KNOW SECTIONS B AND C. PLEASE HELP SOON!
a stadium has 55,000 seats. seats sell for $25 in section A, $20 in section B, and $15 in section C. the number of seats in section A equals the total number of seats in sections B and C. suppose the stadium takes in $1,174,000 from each sold-out event. how many seats does each section hold?
Answers
Answer:
b=14800
c=12700
this is a pretest and i’m confused, please help !!
Answers
A census is the collection of data from every member of the population. In this case, your population would be the trees.
Answer: census
What is the constant of proportionality in the equation y=5/4x
Answers
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answers
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
Victoria bought a dress on 40% discount, and saved a massive $60. How much did the dress cost originally? How much did she pay for it?
Answers
Answer:
Answer: Original price = $150 Amount Paid = $90
Step-by-step explanation:
First we make a proportion 60/x = 40/100. When we cross multiply and divided to get x by itself we get $150 dollars. This is the original price of the dress. Now we take $150-$60 and we get $90. This is what Victoria paid for the dress after the 40% discount.
Hope this helps! :)
NO LINKS OR ASSESSMENT!!!
Part 2: Domain and Range of Graphs
Answers
Domain:
- 2 ≤ x < 2 or x∈ [-2, 2)Range:
-4 ≤ y < 0 or y ∈ (-4, 0]Function:
YES - passes the vertical line test#4Domain:
- 0 ≤ x < 4 or x∈ [0, 4)Range:
-2 < y < 2 or y ∈ (2, 2)Function:
N0- doesn't pass the vertical line test#6Domain:
- 4 < x < 4 or x∈ (-4, 4)Range:
-4 < y ≤ -2 or y ∈ (-4, -2]Function:
YES - passes the vertical line testI STILL NEED HELP URGENTLY
The coordinates of the endpoints of
FG are F(–8,3) and G(–2,–9). Point H is on FG and divides it such that FH:GH is 1:2.
What are the coordinates of H?
Answers
The coordinates of H are (-9,-1) when H is on FG and divides it such that FH:GH is 1:2.
Section formula is employed to search out the magnitude relation within which a line section is split by some extent internally or outwardly. it's accustomed resolve the centre of mass, incenter and excenters of a triangle.Section formula is employed to see the coordinate of some extent that divides a line section change of integrity 2 points into 2 elements specified the magnitude relation of their length is m:n.Let P and alphabetic character be the given 2 points (x₁,y₁) and (x₂,y₂) severally, and M be the purpose dividing the line-segment PQ internally within the magnitude relation m:n, then kind the sectional formula for determinative the coordinate of some extent M is given by: (x , y ) = mx₂+ nx₁/m + n , my₂ + ny₁ / m + n .It is given that F(–8,3) and G(–2,–9) and ratio of FH:GH is 1:2.
The diagram of this question is given below.
Let coordinates of H be ( x , y) .
By using sections formula , we get
(x , y) = ( 1(-2) + 2(-8) / 1+2 , 1(-9) +2(3) / 1+2 )
(x , y) = ( -2 -16 / 1 +2 , -9 +6 / 1 +2 )
(x , y) = ( -18 / 3 , -3/3)
(x , y) = ( -9 , -1)
On comparing , we get x = -9 and y = -1.
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There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
Answers
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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HELP ME OUT PLS!!!!
All postcards at a store cost the same amount. It costs $0.50 more to buy 8 postcards than it does to buy 6 postcards.
Which equation can be used to find x, the cost of each postcard in dollars?
Answers
Answer:
I'm pretty sure it's D) 8x = 6x + 0.50
simplify: 16-10÷5+13
(a) 31
(b) 1/3
(c)139/9
(d)27
Answers
Step-by-step explanation:
16 - 10 × 1/5 + 13
16 - 5 + 13
11 + 13
24
Step-by-step explanation:
10/5=2
16-2+13=27.
d. 27
#bksb Statistics-Level 2 Probability Skill Check Page 8
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Luke takes part in a game of chance.
Bag One has 5 red balls and 9 blue balls.
Bag Two has 6 red balls and 7 blue balls.
Q
.
.
Bag One
9
14
5
14
Blue
Red
7
13
6
13
Bag Two
7
13
6
13
Blue
Red
Blue
Red
What is the probability of choosing 2 blue balls?
Answers
Solve the system of linear equations using the Gauss-Jordan elimination method.
2x + y − 2z = −3
x + 3y − z = −4
3x + 4y − z = 5
(x, y, z) =
Answers
Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
I need an answer for this please :-)
Answers
To solve for B:
A = 1/2bh
Multiply both sides by 2 to get rid of the fraction:
2A = bh
Now divide both sides by h:
B = (2A)/h
So, B = a/2h is equivalent to A = 1/2bh.
To solve for b:
A = 1/2bh
Multiply both sides by 2:
2A = bh
Now divide both sides by h:
b = (2A)/h
So, b = 2a/h is equivalent to A = 1/2bh.
To solve for H:
A = 1/2bh
Multiply both sides by 2:
2A = bh
Now divide both sides by b:
H = (2A)/b
So, H = 2a/b is equivalent to A = 1/2bh.
H(1/2) = a/b is not equivalent to A = 1/2bh.
In summary, equations 1, 2, and 3 are equal to A = 1/2bh.
The integrated curriculm mode, sometimes referred to as integrative teaching, is both a method of teaching and a way of organising the teaching programme so that many subject areas and skills provided in the curriculum can be linked to one another. Provide an example of how you, as the teacher, could use the content in Social Sciences as a vehicle for mathematical skills development.
Answers
The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.
As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.
Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.
For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.
In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,
the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.
They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.
It enables students to see connections between subjects and fosters an integrated approach to learning.
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