The slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
According to the question,
We have the following information:
The equation of the line:
x+y = 3
Now, we will convert this equation into the slope-intercept form:
y = -x+3
Now, slope of this line is -1.
Slope of the perpendicular line to this line = -1/m where m is the slope of the line
Slope of the perpendicular line to this line = -(-1)/1
Slope of the perpendicular line to this line = 1
Hence, the slope of the line perpendicular to the line whose equation is x+y = 3 is 1.
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Write the EXPLICT equation for the arithmetic sequence below: 12, 10, 8, 6
aₙ = 14- 2n is the EXPLICT equation for the arithmetic sequence below: 12, 10, 8, 6
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters
this is an arithmetic sequence whose n th term ( explicit formula) is
aₙ = a + (n - 1 )d
where d is the common difference and a the first term
The given sequence is 12,10,8,6
twelve comma ten comma eight comma six
d=10-12=-2
a=12
Apply in explicit formula
aₙ = 12+ (n - 1 )(-2)
aₙ = 12-2n +2
aₙ = 14- 2n
Hence aₙ = 14- 2n is the EXPLICT equation for the arithmetic sequence below: 12, 10, 8, 6
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Question
A store has 9 packages of candles. Each package has 4 candles.
Which equation can be used to solve for the total number of candles?
omar is putting money into a checking account.Let y represent the total amount of money in the account (In dollars). Let X reapresent the number of weeks Omar has adding money. suppose that x and y are related equation
y=350 +20x
answer the question below
1)what is the change per week in the amount if money in the account?
2) what was the starting amount of money in the account?
Using linear equation model, the change per week in the amount in the account is 20 dollars per week.
The starting amount of the money in the account is 350 dollars.
How to find the changes per week using equation?Omar is putting money into a checking account. y represent the total amount of money in the account (In dollars). x represent the number of weeks Omar has added money.
x and y are related with the equation y = 350 + 20x
The equation can be modelled to a linear equation.
Therefore,
y = mx + b
where
m = slope b = y-interceptTherefore, according to the equation, the change per week in the amount if money is in the account is 20 dollars per week. The slope is the rate of change.
The starting money amount of money in the account is the y-intercept of the equation which is 350 dollars
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What are all the common factors of 15,45,90
(Pls help me I got till 5:10)
An employee opens a credit union account and deposits
$90 at the end of each month. After two years, the account
contains $2,177.48. What annual nominal rate compounded
monthly has the account earned?
Annual nominal rate compounded monthly has the account earned is 0.84% .
In the question ,
it is given that ,
An employee opened a credit union account ,
amount deposited each month (PMT) = $90
number of period (n) = 2 years = 24 months
Future value after 2 years (FV) = $2177.48
let the rate of interest compounded monthly has the account earned be "r"
we know that the future value formula is
Future Value = PMT× [tex](\frac{(1+\frac{r}{12})^{n} -1 }{\frac{r}{12} } )[/tex]
Substituting the value of n = 24 , PMT = 90 and FV = 2177.48 in the Future Value Formula ,
we get ,
2177.48 = 90 × [tex](\frac{(1+\frac{r}{12})^{24} -1 }{\frac{r}{12} } )[/tex]
[tex](\frac{(1+\frac{r}{12})^{24} -1 }{\frac{r}{12} } )[/tex] = 2177.48/90
( 1 + r/12 )²⁴ -1 = (r/12) × 24.194
Solving further , we get
r = 0.0084
that means rate is = 0.84%
Therefore , Annual nominal rate compounded monthly has the account earned is 0.84% .
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in two or more complete sentences, describe choices that a consumer can make that could lead to financial irresponsibility.
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingDon't save money for emergency purposeSpending money without knowing your limitsSpending money doing comparisonAs given in the question,
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingWhen a person is spending money just on emotional feeling and buying large gifts for children which is beyond the budget. Due to this habits a person may have to take debt.
Don't save money for emergency purposeWhen a person is not saving enough money for the time of emergency, it can be a medical emergency then it is financial irresponsible behavior.
Spending money without knowing your limitsWhen you are not making any budget and spending money ,it might possible at the end of the month or some time you have to face financial crises.
Spending money doing comparisonDon't compare yourself with anyone, this might lead you to take loan or debts which lead your life in facing financial trouble.
Therefore, choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingDon't save money for emergency purposeSpending money without knowing your limitsSpending money doing comparisonLearn more about choices here
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Harold solved a division problem in the following way. Check his work. Is the solution valid. Why or why not?
No, this solution is not valid because of wrong concept and wrong calculations as he solved [tex]\frac{10^{-7} }{10^{-2} }[/tex] as [tex]10^{-7 + (-2)}[/tex] but it should be solved as [tex]10^{-7-(-2)}[/tex] .
These exponents can be split since they all share the same base, x. You divide them by the highest exponent in the numerator (the numerator) and the lowest exponent in the denominator (the bottom exponent).
So according to it,
As they have same the base i.e. 10, we will subtract their power which would be like [tex]10^{-7-(-2)}[/tex] = [tex]10^{-5}[/tex] not the [tex]10^{-9}[/tex].
Hence, the solution is not valid due to the wrong concept and wrong calculations.
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The students at Gotham Elementary want to raise $500 for charity. They have raised $337 so far. How much more money do the students need to raise?
Responses
A 337 + 500 = ? or 500 − ? = 337337 + 500 = ? or 500 − ? = 337
B ? + 337 = 500 or ? − 500 = 337? + 337 = 500 or ? − 500 = 337
C 337 + ? = 500 or 500 – 337 = ?337 + ? = 500 or 500 – 337 = ?
D ? − 337 = 500 or 500 + 337 = ?
Answer:
C
Step-by-step explanation:
Some European very small countries are_____________________ and have managed to stay independent of their larger neighbors.
Ministates
Microstates
City-States
Territories
answer
microstates
Step by step explanation
The ordered pairs below represent a function.
What is the range of the function?
O {-2,0,1,2,4,6}
O {-2,1,4}
O {-2,1,2,4,6}
O {0,1,2,4,6}
{(-2,4), (4,-2), (1, 1), (0, 1), (2,-2), (6,4)}
Answer:yesno
Step-by-step explanation:
yes
−1/2(7z+4)+1/5(5z−15) =
Answer:
- 5/2 (z + 2)
Step-by-step explanation:
Distribute
- 7/2 z - 2 + z - 3
Subtract the numbers
- 7/2 z - 5 + z
Combine like terms
- 5/2 z - 5
Common factor
- 5/2 (z + 2)
∠1 and ∠2 are supplementary. m∠1=124°m∠2=(2x+4)° What is the value of x? Select from the drop-down menu to correctly answer the question. x = Choose... 13 26 40 36 41
Answer:
26
Step-by-step explanation:
Supplemental means that the two angles together equal 180
124 + 2x + 4 = 180 Combine like terms
128 + 2x = 180 Subtract 128 from both sides of the equation
2x = 52 Divide both sides by 2
x = 26
Which of the functions is represented by the graph
O f(x)=2x²+3
O f(x) = -x² + 3
O f(x) =1/2x² + 3
O f(x) = -1/2x +3
Number 1
Step-by-step explanation:
Number 1 it is a good answer
solve the equations
Answer:
n = 8
Step-by-step explanation:
to solve this equation you must first isolate the variable
that is n
so first
add 2n to both sides to get rid of n on one of the sides
-4n + 2n + 14 = -2 - 2n + 2n
-2n + 14 = -2
now subtract 14 to both sides to isolate n
-2n + 14 - 14 = -2 - 14
-2n = -16
now divide everything by -2 to isolate n completely
(-2n)/(-2) = (-16)/(-2)
n = 8
that is your answer
Answer:
[tex]\boxed{\sf n=8}[/tex]
Step-by-step explanation:
[tex]\sf -4n+14=-2-2n[/tex]
Subtract 14 from both sides:-
[tex]\sf -4n+14-14=-2-2n-14[/tex]
Simplify:-
[tex]\sf -4n=-2n-16[/tex]
Add 2n to both sides:-
[tex]\sf -4n+2n=-2n-16+2n[/tex]
Simplify:-
[tex]\sf -2n=-16[/tex]
Divide both sides by -2:-
[tex]\sf \cfrac{-2n}{-2}=\cfrac{-16}{-2}[/tex]
Simplify:-
[tex]\sf n=8[/tex]
____________________
Hope this helps!
Have a great day!
A dressmaker sells a shirt for $75 she makes a 25% profit how much did it cost her to make the shirt?
Answer:
Explanation:
Selling price:$75
Profit made:25%
Cost price:100/100-25
100/75
1.3333
QUESTION 3/10 HELP ASAPP
Situations a and c can represent a proportional relationship. Options a and c are correct.
What is directly proportional?It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.
The following situations are found to represent proportionality using the concept of proportionality:
A) The total amount a babysitter makes who earns $10 an hour for babysitting r hours.
C) The total amount Andrew saves when he saves $24 a week for w weeks.
Thus, situations a and c can represent a proportional relationship. Options a and c are correct.
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Please help 25 points and brainlest
Please pick the TWO properties of a incenter
*
Equidistant from the vertices
Equidistant from the sides
Where the angle bisectors cross
Where the perpendicular bisectors cross
Answer:
Where the angle bisectors cross
Where the perpendicular bisectors cross
Choose all of the equations below which are reciprocal functions.
y=x squared y=1/x+4 y=7/x y=2/x+5 y=x/8 y=3x+1
Reciprocal functions have a general form of:
[tex]y= \cfrac{a}{x-h} +k[/tex], where a, h and k are constantsLet's see which of the given functions follow same form:
[tex]y= \cfrac{1}{x+4}[/tex] a = 1, h = - 4, k = 0[tex]y= \cfrac{7}{x}[/tex] a = 7, h = 0, k = 0[tex]y= \cfrac{2}{x} +5[/tex] a = 2, h = 0, k = 5All the other functions are either linear or quadratic functions.
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the fu
decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
O It is linear because the graph decreases over time.
O It is linear because there is both an independent and a dependent variable.
O It is nonlinear because linear functions are increasing functions.
O It is nonlinear because linear functions increase or decrease at the same rate.
It is nonlinear because linear functions, which correspond to option D on the provided graph, grow or shrink at the same rate.
What is linear function?On the coordinate plane, a straight line can be represented by a linear function. In the coordinate plane, for instance, the linear function denoted by the equation y = 3x - 2 is a straight line. The graph of a linear function is a straight line. The form of a linear function is depicted below. a + bx = y = f (x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
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Help fast, please!
Reduce -56/-70 to the lowest terms
Answer:
-4/-5
Step-by-step explanation:
Gotchu bro
Answer:
4/5 or 0.8
Step-by-step explanation:
may i have the brainiest crown pls
Solve for y
3+3(2y-3)=-3(3y-4)+y
Answer: y=9/7
Step-by-step explanation:
HELP ME SOMEONE PLEASEE
There are 72 mg of choleterol in a 3. 6 ounce erving of lobter how much choleterol i in 11 ounce of lobter round to the nearet tenth place
Answer:
The amount of cholesterol in 11 ounces of lobster is 220 mg
Step-by-step explanation:
The amount of cholesterol in 11 ounces of lobster can be calculated as follows
The first step is to convert all units of measure from ounce to mg
1 gram = 0.0352 ounce
Divide both sides by 0.0352 to get the value of 1 ounce
[tex]\frac{1}{0.0352}[/tex] gram = [tex]\frac{0.0352}{0.0352}[/tex] ounce
28.35 gram = 1 ounce
Since 1 gram equals 1000 milligrams, then multiply the left side by 1000 and change the unit of measure to milligram
28.35 [tex]\times[/tex] 1000 mg = 1 ounce
28350 mg = 1 ounce
Convert 3.6 ounces to milligrams
3.6 ounces = 3.6 [tex]\times[/tex] 28350 mg
3.6 ounces = 102060 mg
Convert 11 ounces to milligrams
11 ounces = 11 [tex]\times[/tex] 28350 mg
11 ounces = 311850 mg
Since there are 72 mg of cholesterol in a 3.6 ounces serving of lobster, then the ratio equation to follow is
[tex]\frac{72}{102060}=\frac{x}{311850}[/tex]
Where x is the amount of cholesterol in 11 ounces of lobster
Multiply both sides by 311850 to isolate x
[tex]\frac{72}{102060}\times 311850=\frac{x}{311850}\times 311850[/tex]
[tex]\frac{22453200}{102060} =x[/tex]
Simplify the left side of the equation
220 = x
Since the value of x is 220, then the amount of cholesterol in 11 ounces of lobster is 220 mg
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Which expression gives the volume of a sphere with radius 7?
O A.
(7³)
OB. 4 (7²)
O C.
(7²)
O D. 4 (7³)
The required expression is
(4/3)π(7)³
What is volume?
In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.
We are given to select the correct expression that gives the volume of a sphere with a radius of 7 units.
We know that,
the VOLUME of a sphere with radius 'r' units is given by
V=(4/3)πr³
Here, the radius of the given sphere is
r = 7 units.
Therefore, the volume of the sphere will be
V=(4/3)π(7)³
Thus, the required expression is
(4/3)π(7)³
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Find the length of the hypotenuse in this right triangle.
Answer:
13
Step-by-step explanation:
This is a special right triangle with side lengths 5-12-13 respectively.
If we can't remember the lengths we can use the following formula to calculate the lentgh of hypotenuse:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
the sum of square measure of both legs is equal to the square measure of hypotenuse
[tex] {5}^{2} + {12}^{2} = {c}^{2} [/tex]
25 + 144 = c^2
169 = c^2 find the root of both sides
13 = c, hypotenuse.
2 1/2x + 1/4 + 3/4x = 1/8
[tex]\frac{5}{2}x+\frac{1}{4} +\frac{3}{4} x=\frac{1}{8} \\\\\frac{5}{2}(8)x+\frac{1}{4} (8)+\frac{3}{4}(8) x=\frac{1}{8}(8)\\20x+2+6x=1\\20x+6x=1-2\\26x=-1\\\frac{26x}{26} =\frac{-1}{26} \\x=-\frac{1}{26}[/tex]
construct a 95% confidence interval for the mean number of defects per screen for all screens produced by this manufacturer. a) what is the lower limit on the interval? give your answer to three decimal places. 1.691 incorrect: your answer is incorrect. seenkey 1.703 b) what is the upper limit on the interval? give your answer to three decimal places. 2.589 incorrect: your answer is incorrect. seenkey 2.577 c) based on the interval above, would you believe that the mean number of defects per screen for all screens from this manufacturer is 1.78? yes because 1.78 is not inside the interval. no because 1.78 is inside the interval. correct yes because 1.78 is inside the interval. no because 1.78 is not inside the interval. correct: your answer is correct. d) if we are very certain that the true standard deviation of the number of defects per screen is below 2, what sample size would be required so that the width of the 95% confidence interval for the mean number of defects per screen is at most 0.34? make sure you enter a whole number below. 532 correct: your answer is correct. seenkey 532
The 95% Confidence Interval for the mean number of defects per screen for all screens produced by this manufacturer is (1.447646, 2.352354)
Given Data:
3, 5, 0, 3, 5, 2, 5, 1, 0, 0, 0, 4, 2, 1, 0, 5, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 4, 4, 3, 2,
2, 3, 2, 1, 2, 1, 1, 4, 1, 1, 6, 0, 3, 1, 0, 2, 2, 1, 3
We calculate sample mean and standard deviation from given data.
Sample Mean, a = 2 (2) _ 95
-50
= 1.9
Sample Variance, $2 _ _(2 -x)2 _130.5
= 2.663265
n - 1
49
Sample std dev, s = V82 = v2.663265 ~ 1.631951
95% CI for u using Normal dist
Sample Mean = T = 1.9
Since sample size is large, sample standard deviation can be taken as an approx-
Limation of population standard deviation.
Population Standard deviation = o ~ 1.631951
Sample Size = n = 50
Significance level = 0 = 1- Confidence = 1 - 0.95 = 0.05
The Critical Value = za/2 = 20.025 = 1.96 (From z table)
Critical Values , 1za/2 = 41.96
Margin of Error = E = za/2 X -= 1.96 x 1.631951
0.452354
V50
Margin of Error, E = 0.
Limits of 95% confidence interval are given by:
Lower limit = I - E = 1.9 -0.452354 ~ 1.447646 ~ 1.448
Upper limit = I + E = 1.9 + 0.452354 ~ 2.352354 ~ 2.352
95% confidence interval is: T + E = 1.9 4 0.452354
= (1.447646, 2.352354)
95% CI using normal dist: (1.448 ) < < (2.352)
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What’s 2\3 - 5/9 ?
NEED HELP ASAP!
Answer:1/9 or decimal form it’s ≅ 0.111111
please help Me I dint get this question
Part a: The side of the square is found as 6 cm.
Part b: The side length of the square is found as 10 cm.
What is the definition of the term perimeter of square?The sum of the lengths of all the sides of a square is its perimeter. Thus, by summing the lengths of a square's four sides, we to get its perimeter.For the given dimensions for the question,
Length = 18 cm.Breadth = 2 cmPart a: Area of square is same as area of rectangle.
Rectangle area = Length x breath
Rectangle area = 18 x 2
Rectangle area = 32 sq. cm
Now,
Area of square = Rectangle area
Area of square = side²
36 = side²
side = √36
side = 6 cm.
Thus, the side of the square is found as 6 cm.
Part b: Side length of square.
Rectangle perimeter = square perimeter
Rectangle perimeter = 2(length + width)
Rectangle perimeter = 2(18 + 2)
Rectangle perimeter = 40
square perimeter = 4 side
40 = 4 side
side = 40/4 = 10 cm.
Thus, the side length of the square is found as 10 cm.
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what is the value of 36(3) - 8(-6)
Answer:
156
Step-by-step explanation:
36*3=108
8*-6=-48
108-(-48)=156
The solution of the expression 36(3) - 8(-6) will be 156.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 36(3) - 8(-6). the expression will be solved as below,
E = 36(3) - 8(-6)
E = 108 - ( -48 )
E = 108 + 48
E = 156
Hence, the solution will be 156.
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