Three different integers have a sum of 1 and a product of 36. What are they?
Answers
Answer:
The answer is 6 and -3 and -2
Step-by-step explanation:
The three integers are 6 and -3 and -2 having a sum of 1 and a product of 36.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
Given that three different integers have a sum of 1 and a product of 36. The number will be calculated below:-
Product = 6 x-3 x-2 = 36
Sum = 6 - 3 - 2 =1
Therefore, the three integers are 6 and -3, and -2 having a sum of 1 and a product of 36.
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Related Questions
Regression is a functional relationship between two or more correlated variables, where one variable is used to predict another.
True
False
Answers
True. Regression is a functional relationship between two or more correlated variables, where one variable is used to predict another. This statistical method helps in understanding the relationship between variables and making predictions based on that information.
Regression analysis is a powerful tool in statistics that helps to identify the relationship between variables, and it can be used to make predictions or forecasts based on that relationship. It involves fitting a mathematical model to the data, and then using that model to estimate the value of one variable based on the values of the other variables. There are many different types of regression analysis, each suited to different types of data and research.
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Find the area of polygon
Plsss help is for my tmrw finals
Answers
The area of each polygon in this problem is given as follows:
a) 252 square units.
b) 65 square units.
How to obtain the area of each polygon?For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:
A = 12 x 21 = 252 square units.
For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:
A = 0.5 x 13 x 10 = 65 square units.
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A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
Answers
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
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Determine the value of k that allows the trinomial to be factored: 18x^2-15x+k
Answers
The value of k is 2 that allows the trinomial 18x² - 15x + k to be factored.
Given, a trinomial
18x² - 15x + k
Now, we have to find a value of k, so that
(18x² - 15x + k) can be factorized
to factorize 18x² - 15x + k,
18k should be a number that can be split into -(a + b) to get -15,
so, 18k should be 36 so that we can get -(12 + 3) = -15
Now, the trinomial is,
18x² - 15x + 2
so the value of k = 2.
The trinomial is factorized as,
18x² - 12x - 3x + 2
6x(3x - 2) - 1(3x - 2)
(3x - 2)(6x - 1)
Hence, the value of k is 2 that allows the trinomial 18x² - 15x + k to be factored.
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What are the domain and range of the function?
f(x)=x−1−−−−√3
Responses
Domain: [1, ∞)
Range: [0, ∞)
Domain: [ 1 , ∞ ) , , Range: left square bracket 0 comma infinity right parenthesis, , ,
Domain: [1, ∞)
Range: (−∞, ∞)
Domain: left square bracket 1 comma infinity right parenthesis, , Range: left parenthesis negative infinity comma infinity right parenthesis , , ,
Domain: (−∞, ∞)
Range: (−∞, ∞)
Domain: left parenthesis negative infinity comma infinity right parenthesis, , Range: left parenthesis negative infinity comma infinity right parenthesis, , ,
Domain: [0, ∞)
Range: [1, ∞)
Answers
The domain and range of the function is given below.
What is function?A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.
This is because for the input of x = 0, Domain: [1, ∞)
Range: [0, ∞)
there are two corresponding outputs of y, namely 0 and 1.This does not satisfy the definition of a function, which states that for any given input, there must be only one output. Therefore, the relation shown in the table is not a function.
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help me I am struggling
Answers
Answer:
the answer is A. 72 degrees
Step-by-step explanation:
subtract 108-180= 72
please help me to solve this problem
Answers
Answer:
\(\sqrt{3} + \frac{5\sqrt{3} }{6}\)
Step-by-step explanation:
tan(30°) = \(\frac{\sqrt{3}}{3}\)
cot(30°) = \(\sqrt{3}\)
sin(60°) = \(\frac{\sqrt{3}}{2}\)
\(\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2} = \sqrt{3} +\frac{5\sqrt{3} }{6}\)
Answer:
4\(\sqrt{3}\)/3
Step-by-step explanation:
tan 30 = \(\sqrt{3}\) /3
cos 30 = \(\sqrt{3}\)/2
sin 60 = \(\sqrt{3}\)/2
=> Total = \(\sqrt{3}\) /3 + \(\sqrt{3}\)/2 x 2 = 4\(\sqrt{3}\)/3
Assume a hypothetical age that has not been chosen by any other students, (Must have a month in it, saying I am 21, 22, or 23 years is not acceptable, but 21 years and 1 month, or 21 years and 8 months. are acceptable). Assume you can earn 0.8% per month in the stock market by investing in S\&P500; assume you buy $10,000 worth of an index ETF that represents the S\&P 500 . When you get to age 67 , how much is your investment worth? (The future value of $10,000, monthly compounding). 2. Assuming the same age as above in Q1, you can earn 10% per year in the stock market by investing in S\&P500; assume you buy $10,000 worth of an index ETF that represents the S\&P500. At your retirement age of 67 , the value of this $10,000 investment is $350,000.00. What is the average rate of return on your investment?
Answers
The investment will be worth approximately $28,940 at age 67. The average rate of return on the investment is approximately 5.59%.
To calculate the future value of an investment and the average rate of return, we'll consider two scenarios: one with monthly compounding and one with annual compounding.
1. Monthly Compounding:
Given that you earn 0.8% per month in the stock market, we can calculate the future value of your $10,000 investment when you reach age 67. Since we don't have the exact age, we'll assume it to be 21 years and 1 month for this calculation.
To calculate the future value with monthly compounding, we use the formula:
FV = PV * (1 + r)^n
Where:
FV = Future Value
PV = Present Value (initial investment)
r = Monthly interest rate
n = Number of compounding periods
In this case, PV = $10,000, r = 0.008 (0.8% monthly interest rate), and n = (67 - 21) * 12 (number of months from age 21 to 67).
Using the formula, we can calculate the future value:
FV = $10,000 * (1 + 0.008)^((67 - 21) * 12)
We can simplify the equation and calculate the value:
FV ≈ $10,000 * (1.008)^576
FV ≈ $10,000 * 2.894
FV ≈ $28,940
Therefore, the investment will be worth approximately $28,940 at age 67.
2. Annual Compounding:
Given that the value of your $10,000 investment at age 67 is $350,000, we can calculate the average rate of return over the investment period.
To calculate the average rate of return, we use the formula:
Average Rate of Return = (FV / PV)^(1/n) - 1
Where:
FV = Future Value
PV = Present Value (initial investment)
n = Number of years
In this case, FV = $350,000, PV = $10,000, and n = 67 - 21 (investment period).
Using the formula, we can calculate the average rate of return:
Average Rate of Return = ($350,000 / $10,000)^(1 / (67 - 21)) - 1
To solve the equation for the average rate of return:
Average Rate of Return = ($350,000 / $10,000)^(1 / 46) - 1
We can simplify the equation:
Average Rate of Return = 35^(1 / 46) - 1
Using a calculator, we can evaluate the expression:
Average Rate of Return ≈ 0.0559
Therefore, the average rate of return on the investment is approximately 5.59%.
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♥||Please help as soon as you can!||♥
The price of a video game was reduced from 60$ to $45. By what percentage was the price of the video game reduced?
Answers
Answer:
the price was reduced by 25%
Step-by-step explanation:
60 - 45 = 15
15 is what percent of 60?
15/60 = .25 x 100 = 25%
also can notice that 15 is 1/4 of 60, so it is equal to 25%.
You would do 60 x 25 = 1,500
Remove the two zeros which would be 15
60 - 15 = 45
Helppp!! Instructions: Find the missing side. Round your answer to the nearest tenth.
59
X
28
Answers
Answer:
x ≈ 14.4
Step-by-step explanation:
using the cosine ratio in the right triangle
cos59° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{28}\) ( multiply both sides by 28 )
28 × cos59° , then
x ≈ 14.4 ( to the nearest tenth )
what is the expression in factored form 4x^2+11x+6
Answers
Answer:
4x² + 11x + 6 = (x + 2)(4x + 3)
The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free. Ms. Baldwin is buying 35 hardcover books for her classroom library.
Answers
Answer:
he can get or she can get 14 just believe me
let p be the price of an item. the unit sales of the item are 200 - 5p. what is the correct formula for the revenue generated by the item?
Answers
The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.
The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:
Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2
The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:
dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20
Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:
Revenue = 200(20) - 5(20^2) = $2000
Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.
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Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the entire order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order. Which equation represents the cost of an order at Shirts-2-Go? Which equation represents the cost of an order at Shirts PLUS?.
Answers
Answer:
5 Shirts
Explanation:
I just did it :)
Answer:
Here's your answer --v
Step-by-step explanation:
Which equation represents the cost of an order at Shirts-2-Go?
✔ y = 12x + 3
Which equation represents the cost of an order at Shirts PLUS?
✔ y = 8x + 23
Trust me.
find two numbers whose difference is 164 and whose product is a minimum.
Answers
Answer: The lowest possible product would be -6724 given the numbers 82 and -82.
We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.
Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -164/2(1) = -164/2 = -82
So we know one of the values is -82. We can plug that into the equation to find the second.
x + 164
-82 + 164
82
Step-by-step explanation: Hope this helps.
Point UU is located at (-5,1)(−5,1) on the coordinate plane. Point UU is reflected over the x-axis to create point U'. Point U' is then reflected over the y-axis to create point U''
. What ordered pair describes the location of U''?
Answers
Answer:
(5,-1)
I hope it helps.
Ali needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?
Answers
If Ali took 6 pencils from a new box of pencils and there are 18 pencils left in the box, then there were 24 pencils in the brand new box.
To see why, you can add the number of pencils Ali took to the number of pencils left in the box:
6 + 18 = 24
Therefore, there were 24 pencils in the brand new box before Ali took 6 of them.
5\(multiply\\\)
Answers
Answer:
5 multiply by wat???
Step-by-step explanation:
4 1/4 ÷ 3/4a. 5 2/3b. 5 1/3c. 5 5/3
Answers
4 1/4 ÷ 3/4 is the same as 4 1/4 x 4/3
To solve this, first you have to transform the mixed number into a fraction, as follows:
\(4\frac{1}{4}=\frac{4\cdot4+1}{4}=\frac{17}{4}\)then:
\(4\frac{1}{4}\cdot\frac{4}{3}=\frac{17}{4}\cdot\frac{4}{3}=\frac{17}{3}=\frac{15+2}{3}=\frac{15}{3}+\frac{2}{3}=5\frac{2}{3}\)What is radius r length?.
Answers
Radius defines the length between the center and corner point of the circle.
Circle:
Circle means a round shape that has no corners or line segments and it is a closed curve shape in geometry.
Given,
Here we have to define what is radius
As per the concept of the circle, radius is the half of the diameter.
Where the diameter a line segment through the center of a circle with its ends on the circle's circumference.
And the radius refers the straight line from the center to the circumference of a circle or sphere.
In order to find the radius, simply divide the diameter by 2.
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For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answers
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
find the linear function from the table
Answers
on your calculator press stat enter and plug in your values, then go to stay, move one over to calc and press 4 to find the linear function
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The students cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches would we $113.50, how many sandwiches were ordered?
Answers
Answer:
10 sandwiches
Step-by-step explanation:
first, write an equation to model the problem.
if x is the number of sandwiches and y is the number of soups, you can write:
7.75x + 4.5y = 113.5
in addition, to figure out the number of lunches, you can write:
x + y = 18
finally, plug both equations into desmos and see which point makes both equations true.
the point is (10, 8)
this means they ordered 10 sandwiches and 8 soups
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A survey of 110 college students was taken to determine where they got their news about what was going on in the world of those surveyed 34 got it from the news websites 46 from social media and 12 from both how many got them from only news websites
Answers
The number of students who got news only from new websites is 22.
The problem can be solved using the set concept.
Let:
A = set of students who got their news from only news websites
B = set of students who got their news from news websites
C = set of students who got their news from both news websites and social media
Based on the given information, we can determine how many college students got their news from only news websites by using the formula:
n(A) = n(B) - n(C)
Where:
n(B) = 34
n(C) = 12
Plugging in the given values, we get:
n(A) = 34 - 12 = 22
Therefore, 22 college students got their news from only news websites.
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What is the product? Two-thirds times eight-ninths StartFraction 10 over 27 EndFraction StartFraction 16 over 27 EndFraction Two-thirds Five-sixths
Answers
Answer:
16/27
Step-by-step explanation:
First let's convert this info an equation and then we will solve.
(2/3) * (8/9) = ?
( 2 * 8 ) / ( 3 * 9 ) = ?
( 16 ) / ( 27 ) = ?
16 / 27 = ?
So our fractional answer is 16/27.
In words this would be sixteen over twenty seven.
Cheers.
Answer:
15/9
Step-by-step explanation:
Find the volume of the cone.
either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answers
Answer:
18.84
Step-by-step explanation:
1. The formula for volume of a cone is (r^2x3.14xh)/3
2. So it would be 3^2x3.14x2 divided by 3
3. that would be 18.84
T=(sqrt2h-40t)/g
Solve for h
Answers
Answer:
hope that will help you
nice time
o study the population of consumer perceptions of new technology, sampling of the population is preferred over surveying the entire population because ______. Multiple Choice sampling is more accurate we can compute z-scores it is quicker sampling methods are simple
Answers
To study the population of consumer perceptions of new technology, sampling the population is preferred over surveying the entire population because it is quicker.
To study the population of consumer perceptions of new technology, sampling the population is preferred over surveying the entire population because it is quicker.
Conducting a survey of the entire population would be time-consuming and resource-intensive, especially if the population is large. By selecting a representative sample from the population, researchers can obtain a snapshot of the population's perceptions without having to collect data from every individual.
Sampling methods can be designed to ensure randomness and representativeness, allowing for valid inferences to be made about the entire population based on the sample. Additionally, statistical techniques can be applied to analyze the sample data, such as computing z-scores to compare results to a standard or to make predictions.
Overall, sampling offers a more efficient and feasible approach to studying large populations.
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pls help!! need answer asap!!
Answers
Answer:
Carl traveled 281.25 km by bus and 1,618.75 km by plane.
Step-by-step explanation: v1 = 60 km/h average speed by bus to Toronto
v2 = 700 km/h average speed by plane to Winnipeg
d = 1,900 km the total distance traveled
t = 7 h total traveling time
t1 = the time of the travel by bug
t2 = the time of the travel by plane
t = t1 + t2 the total time
d1 = the distance traveled by bus
d2 = the distance traveled by plane
d = d1 + d2 the total distance
Since average speed = distance/time we have time = distance/avg.speed
t1 = d1/v1 that is t1 = d1/60
t2 = d2/v2 that is t2 = d2/700
Plug the above values into t1 + t2 = t.
We have the following system of equations:
d1/60 + d2/700 = 7
d1 + d2 = 1900
.......
Click here to see the step by step solution for 'd1' and 'd2'
.......
d1 = 281.25 km
d2 = 1,618.75 km
Carl traveled 281.25 km by bus and 1,618.75 km by plane.
What is the solution of the equation 3 and minus 2 is equal to 46?
Answers
The solution of the equation 3z minus 2 is equal to 46 is 16.
The given equation '3z minus 2 is equal to 46' can be written as
3z - 2 = 46
Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:
3z = 46 + 2
3z = 48
z = 48/3
z = 16
The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.
Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.
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