Answer:
2(x−9)
Step-by-step explanation:
The difference of a number and 9 is (x−9) Twice the difference means 2(x−9) We know that the answer to this is 2 , so as an equation: 2(x−9)=2.
The difference of a number and 9 is (x−9).
Twice the difference means 2(x−9).
We know that the answer to this is 2, so as an equation:
2 ( x - 9 )
If you solve it we would have:
x - 9= 1
x= 1 + 9
x= 10
The difference between 10and9 is 1 and twice 1 is 2.
The number is correct.
= 2x - 9
5(7x+8y) simplified
Answer:
35x+40y
Step-by-step explanation:
1. expand the terms by multiplying 5 by what's inside the parenthesis, so multiply by 7x and 8y and add them. So you get 35x+40y
Answer:
35x +40y
Step-by-step explanation:
5(7x+8y)
Distribute
5*7x + 5*8y
35x +40y
prime factorization of 828
Answer:
So, the prime factorization of 828 can be written as 2^2 × 3^2 × 23 where 2, 3, and 23 are prime.
Step-by-step explanation:
828 / 2 = 414
414 / 3 = 138
138 / 2 = 69
69 / 23 = 3
3 / 3 = 1
Which fraction rounds to 5? A. 5 2/3 B. 5 1/2 C. 5 9/20 D. 4 9/20
the fraction that rounds to 5 is option B, 5 1/2.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
To round a fraction to 5, we need to find the fraction that is closest to 5. Therefore, we need to look at the fractional parts of each option and find which one is closest to 1/2.
A. 5 2/3 = 17/3, which is closer to 6 than to 5.
B. 5 1/2 = 11/2, which is exactly halfway between 5 and 6, so it rounds to 5.
C. 5 9/20 = 259/20, which is closer to 6 than to 5.
D. 4 9/20 = 209/50, which is closer to 4 than to 5.
Therefore, the fraction that rounds to 5 is option B, 5 1/2.
Learn more about Fraction, by the following link.
https://brainly.com/question/17220365
#SPJ9
I REALLY NEED HELP THIS IS DUE TODAY SO IF YOU COULD HELP THAT WOULD BE GREAT!!
Answer:
Slope=1/4
Step-by-step explanation:
I'm so sorry, but I'm not sure what a constant of variation is. I can still help with the slope though!
To find slope from an ordered pair, subtract the y's, and then subtract the x's in the same order.
1-0=1
4-0 4
You can also do this the other way around.
0-1=-1=1
0-4 -4 4
As you can see, both ways of doing this result in the same slope.
Hope this helps you out!! Have a wonderful day :3
im cant figure out how to do this one ((-3)^2)^-3
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
how old am i if 200 reduced by 4 times my age is 72
Answer:
32
Step-by-step explanation:
You dont know my age, let's call it x
Four times my age is then 4x.
"Reduced by" means subtraction.
200 reduced by...
means 200 -
200 - 4x = 72
Subtract 200 from both sides.
-4x = 72 - 200
-4x = -128
Divide both sides by -4.
x = 32
The unknown age is 32.
consider the differential equation y'' 2y' y=x^2e^-x. this differential equation is:_____
The given differential equation, y'' - 2y' + y = x^2e^(-x), is a second-order linear homogeneous differential equation with variable coefficients.
In the differential equation, the term y'' represents the second derivative of y with respect to x, y' represents the first derivative of y with respect to x, y represents the function y(x), and x^2e^(-x) is a non-homogeneous term on the right-hand side of the equation.
To classify the differential equation, we can examine the coefficients of the derivatives. Since the coefficient of y'' is 1 (non-zero), and the coefficients of y' and y are -2 and 1 (non-zero), respectively, the equation is a non-constant coefficient homogeneous differential equation.
In summary, the given differential equation, y'' - 2y' + y = x^2e^(-x), is a second-order linear non-constant coefficient homogeneous differential equation with a non-homogeneous term on the right-hand side.
To learn more about differential equation click here: brainly.com/question/32538700
#SPJ11
The graph below shows the value of Matt's car over a 10-year period.
MATT'S CAR VALUE
עץ
50,000
45,000
40,000
35,000
$ 30,000
S 25,000
9 20,000
15,000
10,000
5,000
0
1 2 3 4 5 6 7 8 9 10
Number of Years
What is the domain of the function that best represents the value of the car with respect to the number of years?
Answer:
Step-by-step explanation:
All real numbers from 0-10
The domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We have been given that the graph shows the value of Matt's car over 10 years.
We need to find the domain of the function that best represents the value of the car concerning the number of years.
Therefore, we can see that the value of Matt's car over 10 years decreases linearly.
Domain = {0 1 2 3 4 5 6 7 8 9 10}
Therefore, the domain of the function that best represents the value of the car concerning the number of years could be All real numbers from 0-10.
Learn more about the domain and range of the function:
brainly.com/question/2264373
#SPJ6
How much would you make for one month (4 weeks) if you worked a 40 hour week?
Answer:
Unclear
Step-by-step explanation:
I believe we need more information to solve the problem!
We currently have:
a = b
b = total amount for 40 hours
As you can see, we cannot solve this. For a we would need something like how much you make per week, etc!
convert into degree: 400 grade
please help)):
\(Simplify\;each\;of\;the\;following\;equations\;for\;50\;points!\\\\1...\;6(y + 7) = 2(y - 3)\\2...\;3x + 2(x - 5) =25\\3...\;10q + 3q + 5 = 2(q - 3)\\4...\;1/3(x + 6) = 2/3(x - 9)\\\\\)
Answer:
y= -12x = 7q = -1x = 24Step-by-step explanation:
1. ..............................................
6(y + 7) = 2(y - 3)6y + 42 = 2y - 66y - 2y = -6 - 424y = -48y = -122...............................................
3x + 2(x - 5) = 253x + 2x - 10 = 255x = 25 + 105x = 35x = 73 . ..............................................
10q + 3q + 5 = 2(q - 3)13q + 5 = 2q - 613q - 2q = -6 - 511q = -11q = -14. ..............................................
1/3(x + 6) = 2/3(x - 9)3*1/3(x+6) = 3*2/3(x - 9)x + 6 = 2(x - 9)x + 6 = 2x - 182x - x = 6 + 18x = 24Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
1)
\(6(y+7)=2(y-3)\\6y+42=2y-6\\4y+42=-6\\4y=-48\\y=-12\)
2)
\(3x+2(x-5)=25\\3x+2x-10=25\\5x-10=25\\5x=35\\x=7\)
3)
\(10q+3q+5=2(q-3)\\13q+5=2q-6\\11q+5=-6\\11q=-11\\q=-1\)
4)
\(\frac{1}{3} (x+6)=\frac{2}{3} (x-9)\\\frac{1}{3} x+2=\frac{2}{3} x-6\\2=\frac{1}{3}x -6\\8=\frac{1}{3} x\\x=24\)
Let k ? R and f(x, y-x2 + y2 + kxy. If you imagine the graph changing as k increases, at what values of k does the shape of the graph change qualitatively? Justify your answer.
The shape of the graph changes qualitatively at k = ± 2 and
\(k=\sqrt{(2)\).
The given function is f(x,y) = y-x²+y²+kxy.
The critical points of the function are found by taking the partial derivatives and equating them to zero:
∂f/∂x = -2x + ky = 0
y = 2x/k
∂f/∂y = 2y + kx = 0
y = -kx/2
Substituting y from the first equation into the second equation gives
x = k²x/4, so k² = 4 and k = ± 2.
Therefore, the critical points are (0,0), (2,4), and (-2,4)
We will now examine the critical points to see when the shape of the graph changes qualitatively.
There are two cases to consider:
Case 1: (0,0)At (0,0), the Hessian matrix is
H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]
=[ -2 0;0 2].
The determinant of the Hessian matrix is -4, which is negative.
Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.
Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is
H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]
=[ -2k 2k;2k 2].
The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).
Therefore, the critical points (2,4) and (-2,4) are local minima when
k > √(2).
Thus, the shape of the graph changes qualitatively at k = ± 2 and
k = √(2).
To know more about critical points, visit:
https://brainly.com/question/33412909
#SPJ11
In the triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find sin A if a = 3013, b = 2
\(Given: Statement\\ To\ find: Correct\ optician\\ tan\theta=\frac{2}{30\sqrt{13}}\)
\(sin\ B=\frac{2}{33}\)
\(sin A=\frac{1}{7}=\frac{30\sqrt{13}}{3311}=\frac{3\sqrt{13}}{11}\)
I hope this helps you
:)
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
\( \frac{ - 7u}{ - 7} = - 21 \div - 7\)
u= -21/-7
u = 3
The solids are similar. Find the missing Measures.
Explanation:
To find the missing measures of similar solids, you need to follow these steps:
Step 1: Identify the corresponding sides of the similar solids.
In similar solids, the corresponding sides are proportional, meaning their lengths have the same ratio.
Step 2: Determine the scale factor.
The scale factor is the ratio of the lengths of corresponding sides in the two similar solids. To find it, divide the length of a side in one solid by the length of the corresponding side in the other solid.
Step 3: Use the scale factor to find the missing measures.
To find the missing measures, multiply the known side lengths in one solid by the scale factor to get the corresponding side lengths in the other solid.
By following these steps, you will be able to find the missing measures of the similar solids. Remember to apply the scale factor to all corresponding sides and be consistent with the proportions to ensure accuracy.
To know more about similar. Click on the link.
https://brainly.com/question/26451866
#SPJ11
according to chebyshev's theorem, at least what percent of any set of observations will be within 1.8 standard deviations of the mean? (round your answer to the nearest whole percent.)
According to Chebyshev's theorem, at least 69 percent of any set of observations will be within 1.8 standard deviations of the mean.
Standard deviations of the mean = 1.8 s
According to Chebyshev's theorem at least (1 - 1/k^2)×100% observations will lie within k standard deviation from the mean.
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/(1.8)^2)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/3.24)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 0.31)×100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 0.69 × 100%
The proportion of observations that will be within 1.8 standard deviations of the mean = 69%
To learn more about Chebyshev's theorem link is here
brainly.com/question/28480556
#SPJ4
Which statement is not true about the absolute value of -6?
It equals the absolute value of 6.
It can be expressed as |-61.
It describes the distance between -6 and 0 on the number line.
It describes the distance between 6 and -6 on the number line.
My Progress
Done →
out express written consent of Curricu
Answer:6
Step-by-step explanation:
Absolute value is just how many units, it is away from 0.
explain, giving two reasons,when a person is entitled to claim for UIF benefits
Two reasons when a person is entitled too access the Unemployed Insurance Fund are:
When a worker becomes unemployed within 6 months of losing their job.Dependents of a deceased contributor.What is the Unemployed Insurance Fund (UIF)?The unemployed insurance fund (UIF) is described as a short-term relief given to workers who are unable to work or when they become unemployed due to several reasons. In addition, the fund (UIF), can also be accessed by dependents of a deceased contributor.
Therefore, two reasons when a person is entitled too access the Unemployed Insurance Fund are:
When a worker becomes unemployed within 6 months of losing their job.Dependents of a deceased contributor.Learn more about unemployed insurance fund (UIF) on:
https://brainly.com/question/26670092
hiii! does anyone stan nct? if so what's your favorite unit and bias? :D
Answer:
i not a nctzen yet but i want to be!
Step-by-step explanation:
i am a multistan but there are just too many handsomeness in nct that i cant even keep track of
right now im just trying my best to learn some of their names which i cant even remember lol
Answer:
U and Jeno and Jaemin
Step-by-step explanation:
data that provide labels or names for groupings of like items are known as
Data that provide labels or names for groupings of like items are known as categorical data. Categorical data is used to group data into specific categories or classes based on a shared characteristic or attribute.
Categorical data can be divided into two main types: nominal and ordinal. Nominal data are labels that represent categories with no inherent order or ranking. For example, gender, eye color, or country of origin are nominal categories. Ordinal data, on the other hand, represent categories that have a natural order or ranking. Examples of ordinal categories include education level (high school, college, graduate school) or income level (low, medium, high).
Categorical data is often represented using graphs and charts, such as bar charts or pie charts, to visually display the frequency and distribution of each category. Categorical data is an important tool for data analysis as it allows researchers and analysts to identify patterns and relationships between different categories, and to make informed decisions based on the data.
To learn more about data analysis click here, brainly.com/question/30094947
#SPJ11
What two-dimensional figures are
needed to find the surface area of a
cylinder?
A. 2 circles, 1 triangle
B. 2 circles, 1 rectangle
C. 1 circle, 1 rectangle
Answer:
B.
Step-by-step explanation:
Just do it
Answer:
B. 2 círculos, 1 rectángulo
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
For such more questions on solution
https://brainly.com/question/24644930
#SPJ8
A factory produced 84 baskets in 6 hours. which rate is equivalent to the rate at which the factory produced baskets?
The rate at which the factory produced baskets can be expressed as 14 baskets per hour.
To determine the rate at which the factory produced baskets, we divide the total number of baskets produced (84) by the time taken to produce them (6 hours). Therefore, the rate can be calculated as 84 baskets / 6 hours = 14 baskets per hour.
The rate indicates the quantity of baskets produced within a specific time frame. In this case, the factory produced 84 baskets in 6 hours, resulting in an average rate of 14 baskets per hour. This means that, on average, the factory produced 14 basket every hour during the 6-hour period.
It's important to note that rates can be expressed in different units based on the context. In this case, the rate is given as baskets per hour, indicating the number of baskets produced within one hour.
Learn more about rate here
https://brainly.com/question/23634231
#SPJ11
Use complete sentences to state who is correct and why.
Answer:
I dont think you gave the entire question but
bridget is saying x > 3
dana is saying x < 3
Let N denote the set of all non-negative integers and Z denote the set of all integers. The function f:Z→N given by f(x) = |x| is :
A. One-one but not onto
B. Onto but not one-one
C. Both one-one and onto
D. Neither one-one nor onto
Option A. One-one but not onto. The function f:Z→N maps integers to non-negative integers.
For any integer x, the absolute value function |x| returns a non-negative value, so f(x) is always non-negative. This means that the range of f is the set of non-negative integers. The function is onto, since for any non-negative integer n, we can find an integer x such that |x| = n (e.g., x = n or x = -n). However, f is not one-to-one, because there are two distinct integers x and y (e.g., x = 2 and y = -2) that map to the same non-negative integer f(x) = f(y) = 2.
Learn more about integers here: brainly.com/question/15276410
#SPJ4
would most people take the following gamble? flip a coin, if heads you win $75, if tails you lose $50. explain your answer.
Answer:
50/50 Chance
Step-by-step explanation:
I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.
A partly-full paint can has 0.878 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 13.7 m2), how thick is the layer of wet paint? Give your answer in meters.
a) The volume of paint left in the can is:
.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
b) the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:
0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:
Volume = area * thickness
We want to solve for the thickness, so we rearrange the formula to get:
Thickness = Volume / area
The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:
0.003321 m^3
The area of the wall is given as:
13.7 m^2
So the thickness of the layer of wet paint is:
0.003321 m^3 / 13.7 m^2 = 0.000242 m
Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
Learn more about meters here:
https://brainly.com/question/29367164
#SPJ11
One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?
Answer:
white sold = 16
yellow sold = 12
Step-by-step explanation:
w = # of white sold
y = # of yellow sold
w + y = 28 solve this for w
w = 28 - y
9.95w + 13.5y = 321.20 substitute w = 28-y into this expression and solve for y
9.95(28-y) + 13.5y = 321.20
278.60 - 9.95y + 13.50y = 321.20
278.60 + 3.55y = 321.20
3.55y = 321.20 - 278.60 = 42.60
y = 42.60/3.55 = 12 substitute this into w = 28 - y and solve for w
w = 28 - 12 = 16
If angle 2 = 48, determine the measure of angle 5.
Answer:
Angle 2 = 48
we are going to divide 48 by 2 to get the Angle 1
Angle 1 = 24
then Angle 5 = (5×24)
Angle 5 = 120