Step #1: Find the slope of the given line.
To do this, solve the equation for slope-intercept form:
x + 2y = 16
2y = -x + 16
y = -1/2 x +8
The slope of this line is -1/2.
Step #2: Find the slope of the new line.
To be perpendicular, the other line needs a slope that is the opposite reciprocal slope. So, that'd be +2/1 or just 2.
Step #3: Find n.
Now, you know m=2 and we also have the slope formula
m = (y2 - y1) / (x2 - x1)
Using the two points (-9,n) and (1,5n), we can set up:
2 = (5n - n) / (1 - (-9))
2 = 4n / 10
2 = 2n/5
Multiply by 5 and divide by 2:
10 = 2n
5 = n
The process was: find the slope of the given line, use that to find the slope of the perpendicular line, and then use and the slope formula to find n.
If I am 165 centimeter tall. And Roberto is 1.7 meters tall who is taller?
Answer:
"Centi" means hundred so, a centimeter is a meter times 100. Divide 165 centimeters by 100 to convert it to meters. 165/100=1.65. If you are 1.65 meters, and Roberto is 1.7 meters tall, Roberto is taller.
Hope this helped!
what would the answer be and this is the last question u get brainlist for givnig the answer
Answer:
8.56
Step-by-step explanation:
d=2
r=d/2
r=1
area of the circle=πr², but we also have to subtract the square from it
a=π2²
a= 12.56
now the area of the square is 2*2
the area of the shape 12.56-(2*3)
the area of the shape is 8.56
Simplify
3√b^2
and no it is not 3b
The simplified form of the given expression is 9b
Simplifying an ExpressionFrom the question, we are to simplify the given expression
The given expression is 3√b^2
This expression can be properly written as
(3√b)²
To simplify the expression,
First, we will expand the expression by applying one of the rules of exponents
(3√b)²
Applying the rule of exponent
3² × (√b)²
9 × b
= 9b
Hence,
The simplified expression is 9b
Learn more on Simplifying an expression here: https://brainly.com/question/723406
#SPJ1
simplify (3x²y5)3 please help
The simplified answer for the given value (3x²y⁵)³ is 27x⁶y¹⁵.
The first step is to find the cube of the values inside the bracket
⇒ (3x²y⁵)³= (3³ × (x²)³ × (y⁵)³)
⇒ 3³ × x⁶ × y¹⁵
⇒ 27x⁶y¹⁵
Hence, the simplified answer for the given value (3x²y⁵)³ is 27x⁶y¹⁵.
To understand more about powers refer -
https://brainly.com/question/25263760
#SPJ9
One cable company charges $50 per month for their basic plan, plus $75
installation. A second company charges $55 per month, but offers free
installation. For what number of months is the first plan cheaper than the
second plan?
Write your answer as a number, with no symbols, spaces, or words.
Your answer
Step-by-step explanation:
One cable company charges $50 per month for their basic plan, plus $75 installation. A second company charges $55 per month, but offers free installation. For what number of months is the first plan cheaper than the second plan?
50m + 75 < 55m
subtract 50m from both sides:
50m + 75 -50m < 55m - 50m
75 < 5m
divide both sides by 5:
75/5 < 5m/5
15 < m
or m > 15
so:
The first plan cheaper than the second plan after 16+ months
Write an equation of the line that passes through (7, 10) and is perpendicular to the line y = -x - 9.
Equation of the line that passes through (7, 10) and is perpendicular to the line y = x - 9 is y = -x + 17.
Given,
The equation, y = x - 9
Slope = m = 1
Slope of line perpendicular to given line = -1/m = -1/1 = -1
Let the equation of line be y = mx + c
Passes through A(7,10)
10 = -1(7) + c
10 = -7 + c
c = 10 + 7
= 17
Therefore, the equation of line is y = -x + 17
Learn more about equation of line here;
https://brainly.com/question/29391506
#SPJ9
Directions: Determine if the given equations are parallel, perpendicular, or neither. 3x + 2y = 8 and 2x + 3y = -12
A baeball team ell for two game. The ratio of old ticket to unold ticket for the firt game wa 7 : 3. For the econd game, the ratio wa 13 : 2. There were 24 unold ticket for the econd game. How many ticket were old for the firt game?
The number of tickets that were sold for the first game was 84 tickets .
In the question ,
it is given that
the ratio of sold tickets to unsold tickets in the first game = 7:3 ,
so , number of tickets sold in first game = 7x
number of tickets unsold in the first game = 3x
the ratio of sold tickets to unsold tickets in the second game = 13:2 ,
so , number of tickets sold in second game = 13x
number of tickets unsold in the second game = 2x
given the number of unsold tickets in the second game = 24
that is 2x = 24
x = 12
number of tickets sold in first game = 7x = 7(12) = 84
Therefore , The number of tickets that were sold for the first game was 84 tickets .
The given question is incomplete , the complete question is
A baseball team sell tickets for two game. The ratio of sold ticket to unsold ticket for the first game was 7 : 3. For the second game, the ratio was 13 : 2. There were 24 unsold ticket for the second game. How many ticket were sold for the first game?
Learn more about Ratio here
https://brainly.com/question/13964650
#SPJ4
Do the following rectangles have the same perimeter, area, or both? a rectangle is labeled 4 centimeters along its left side and 5 centimeters along its top side. a rectangle is labeled 4 centimeters along its left side and 5 centimeters along its top side. a rectangle is labeled 10 centimeters along its left side and 2 centimeters along its top side. a rectangle is labeled 10 centimeters along its left side and 2 centimeters along its top side. choose 1 answer: choose 1 answer: (choice a) a same area only (choice b) b same perimeter only (choice c) c same area and perimeter
Which arrangement shows −27/5 , −4.1 , −5 3/5 , and −3 in order from least to greatest?
A. −4.1, −27/5 , −3 , −5 3/5
B. −4.1 , −27/5 , −5 3/5 , −3
C. −5 3/5 , −27/5 , −4.1 , −3
D. −5 3/5, −3 , −4.1 , −27/5
The solution of numbers in their ascending order is Option C.
−5 3/5 , −27/5 , −4.1 , −3
What is Ascending Order?
When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.
Given data ,
The numbers in the set S is S = { -27/5 , -4.1 , -5 3/5 , -3 }
Now , the fractions -27/5 and -5 3/5 can be simplified as
-27/5 = -5.4
-5 3/5 = -28/5
= -5.6
And , the numbers in the set S = { -5.4 , -4.1 , -5.6 , -3 }
The larger negative numbers are smaller in value
So , the numbers in their ascending form will be
-5.6 < -5.4 < -4.1 < -3
And ,
-5 3/5 < -27/5 < -4.1 < -3
Hence , the ascending form of the numbers is -5 3/5 , -27/5 , -4.1 , -3
To learn more about ascending numbers click :
https://brainly.com/question/20681445
#SPJ1
the european and mediterranean population is declining as a proportion of the total u.s. population and will be less than 50% of the population by:
If the coefficient a in the general quadratic equation is equal to 12, what is the focal length for the
parabola, c', equal to?
The focal length of the parabola is 1/48
What is focal length of a parabola?The term focal length as used in parabolic equation refers to the distance between the vertex of the parabola and the focus.
This distance is measured in the direction of the symmetry
The formula for the focal length in terms of a is
a = 1 / 4p
where p is the focal length
make p the subject of the formula by cross multiplying
a * 4 * p = 1
4a * p = 1
p = 1 / 4a
p = 1 / 4 * 12
p = 1 / 48
p = 1/48
Read more about focal length of a parabola here:
https://brainly.com/question/4048183
#SPJ1
how large a sample is needed if we wish to be 96% confident that our sample proportion in the question (7) will be within 0.02 of the true fraction of the voting population.
The sample size for estimating the proportion is 2637.
Given,
How many people should be included in the sample if we want to have 96% confidence that our sample proportion will be within 0.02 of the true fraction of the voting population given the data?
E = 0.02
c = 96% = 0.96
[tex]\hat p[/tex] or P = 0.5 (We have no idea about P, in this case, take P = 0.5)
[tex]\hat p[/tex] = 1 - [tex]\hat p[/tex] = 0.5
Now,
α = 1 - c = 1 - 0.96 = 0.04
α/2 = 0.04/2 = 0.02
⇒ α/2 = 2.054 (using z table)
The sample size for estimating the proportion is given by,
[tex]n = Z^2_\alpha _/_2P(1-P)/E^2[/tex]
= (2.054/0.02)2 * 0.5 * 0.5
= 2636.8
= 2637
Hence, the size of sample is 2637.
To learn more about sample size click here:
brainly.com/question/25894237
#SPJ4
Alphabet: abcdefghijklmnopqrstuvwxyz if add = 9, bad = 7, and cad = 8 what is the value of ada?.
If "add" = 9 , "bad" = 7 , "cad" = 8 , then the value of "ada" is 6 .
In the question ,
alphabets are given ,
the alphabets are a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z .
and the value of "add" is 9,
form above we can see that , the alphabet "a" is in the first position , so value of "a" = 1 ,
"d" is at 4th position , so the value of "d" = 4 .
So , "add" = a + d + d = 1+4+4 = 9
similarly we have , "bad" = b + a + d = 2+1+4 = 7
and "cad" = c + a + d = 3+1+4 = 8
hence , the value of "ada"
"ada" = a + d + a = 1+4+1 = 6 .
Therefore , the value of "ada" is 6 .
Learn more about Addition here
https://brainly.com/question/942775
#SPJ4
please I need help in this question
Answer:
Step-by-step explanation:
A is an integer by 10 as even and by 3 as odd as timed would be in power also by 3 then, B, in scientific writing is.... 140 OBVI
solve for x.
3/4 (-4.2 - x) = 5
Answer: x = -10.8666667
Step-by-step explanation:
13#A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 11 children selected at random and finds that their mean attention span is 22 minutes with a standard deviation of 5 minutes. If we assume that attention spans are normally distributed, find a 90% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas. )Lower limit:Upper limit:
The lower limit of the confidence interval is 18.80 and the upper limit of the confidence interval is 25.19
Confidence interval = sample mean ± margin of error
Margin of error = z*population standard deviation/[tex]\sqrt{n}[/tex]
The level of confidence is represented by z==2.12
the size of the sample n=11
sample mean= 22
confidence interval = sample mean ± z*population standard deviation/[tex]\sqrt{n}[/tex]
upper limit of confidence interval = sample mean + z*population standard deviation/[tex]\sqrt{n}[/tex]
=22+2.12*5/[tex]\sqrt{11}[/tex]=25.19
lower limit of confidence interval = sample mean - z*population standard deviation/[tex]\sqrt{n}[/tex]
=22-2.12*5/[tex]\sqrt{11}[/tex]=18.80
Therefore, the lower limit of the confidence interval is 18.80 and the upper limit of the confidence interval is 25.19
To know more about confidence intervals:
https://brainly.com/question/24131141
#SPJ4
6.2 in.
8 in.
I need help with this
What is the area of one of the triangles
What is the area of the entire square
Answer:
the area for the entire scale is 8 inches
the area for one of the triangles is 6.2 inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
Area of the triangle is:
A = 1/2 * (Base * Height)
A = 1/2 * (b * h)
A = 1/2 * (8 * 6.2)
A = 1/2 * 49.6
A = 24.8
Area of the square is:
A = Base * Height
A = b * h
A = 8 * 6.2
A = 49.6
find the exponential equation using points (-1,6) and (2,3/4)
Answer: 3
Step-by-step explanation:
You are solving a system of equations y1 = abx1 and y2 = abx2, so plug the x and y coordinates into the equations to solve for a and b:6 = ab1 & 3/4 = ab-2Since a = 6/b, we can use this in the second equation to solve for b:3/4 = (6/b)b-23/4 = 6/b36/(3/4) = b38 = b32 = b,which means that a = 3.Now we just input our a and b values into y = abx, so our equation is y = 3*2x. I hope this helps
4 7. It takes of a roll of ribbon to wrap six packages. What fraction of a roll does it take to wrap three packages?
The fraction of a roll it takes to wrap three packages is 1/2.
Fraction is a comparison between two mathematical quantities or numbers.
Given that, wrapping six packages takes a roll of ribbon.
wrapping 1 package takes = 1/6 of roll of ribbon.
Wrapping 3 packages takes = 3*(1/6) = 1/2 of roll of ribbon.
Hence fraction of a roll it takes to wrap three packages is 1/2.
To know more about Fraction refer to:
https://brainly.com/question/78672
#SPJ9
HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST
The correct alternative, based on the parallel, triangle sum, and isosceles triangle criteria, is 2.
How to spot the correct optionAlternative 1
Since the base angle of an isosceles triangle is 52 degrees, let's say the third angle is x, and according to the triangle sum property,
x + 2 * 52 = 180,
x = 76.
triangle at the base
32 + 2x = 180 (triangle sum property for isosceles triangle)
x = 74
In accordance with the triangle sum property for isosceles triangles, the figure demonstrates that the base angle of the triangle at its base is also equal to 76.
False choice: Angles 74 and 76 are not equal.
Alternative 2:
x + 2 * 76 = 180 (triangle sum property for isosceles triangle)
x = 28
The diagram demonstrates that the triangle at the base angle has angle = 28.
124 + 2x = 180 (triangle sum property for isosceles triangle)
x = 28
Since the two angles 28 and 28 are equivalent, the choice is correct.
Alternative 3
wood you believe it, I past plain geometry - wrong
would you believe it, I passed plain geometry - correct
Alternative 4
The parallelogram's isosceles triangle, with a base angle of 27,
Using the alternate internal angle theorem, 29's base angle is displayed.
at same point as 27 and both angles are not being equal.
Learn more about detecting errors here:
https://brainly.com/question/29420555
#SPJ1
Factor the polynomial: -2x³ - 4x² - 6x
Answer:
−2x (x² + 2x + 3)
Last year janet purchased a $1,000 face value corporate bond with an 8% annual coupon rate and a 15-year maturity. At the time of the purchase, it had an expected yield to maturity of 10. 45%. If janet sold the bond today for $820. 17, what rate of return would she have earned for the past year?.
57.15% is i interest rate of return would she have earned for the past year.
What exactly does "interest rate" mean?
An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the total loan amount if you are a borrower.Par value = 1000
coupon rate = 8%
no of compounding period per year = 1
interest per period = $80
number of year to maturity = 15
no of compounding period till maturity = 15
market rate of return = 12.09%
Bond purchase price = PV(RATE,NPER,PMT,FV) * -1
Bond purchase price = $722.77
Rate of return of past year = 57.15%
= (1055.86+80-722.77)/722.77
Learn more about interest rate
brainly.com/question/13324776
#SPJ4
For the quadratic equation x2 + 4x - 5 = - x2 + 7
which is a,b,c
The coefficients of the quadratic equation are:
a = 2, b = 4, c = -12
What are the coefficients of the quadratic equation?
The general quadratic equation is:
a*x^2 + b*x + c = 0
In this case, we have the quadratic equation:
x^2 + 4x - 5 = -x^2+ 7
Let's move all the terms to the left side, then we will get:
x^2 + 4x - 5 + x^2 - 7 =0
Now group like terms:
x^2 + x^2 + 4x - 5 - 7 =0
2x^2 + 4x - 12 = 0
Comparing this with the general quadratic equation we can see that:
a = 2
b = 4
c = -12
These are the coefficients.
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
Yolanda paid $12.24 for a 6.35-kg bag of dog food. A few weeks later, she paid $13.99 for a 7.48-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Step-by-step explanation:
First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg
The second bag is the better deal
Step-by-step explanation:
Divide the price by the weight to get the unit price per kg
The lowest number is the better buy
which is the solution set for ?
- 4 (-x+a)+5<8
The solution of the given function is x < 3 + 4a.
What is a function?
A function is uniquely represented by the set of all pairings (x, f (x)), known as the function graph, which is a popular way of visualizing the function. When the domain and codomain are real number sets, each pair may be thought of as the Cartesian coordinates of a point in the plane. Functions are frequently employed in science, engineering, and the majority of mathematical areas. Most disciplines of mathematics say that functions are "the major subjects of investigation." If the domain and codomain set of two functions f and g are the same and their output values agree over the whole domain, they are equivalent.
The solution of the given function is
-4(-x+a)+5<8
or, 4x - 4a + 5 < 8
or, x < 8 - 5 + 4a
or, x < 3 + 4a
To know more about a function, click on the link
https://brainly.com/question/10439235
#SPJ13
The product of twice a number and six is the same as the difference of eleven times the number and 7/6. find the number
Answer:
2x X 6 = 11x - 7/6
12x = 11x - 7/6
12x - 11x = -7/6
x = - 7/6
Step-by-step explanation:
let the unknown be x
twice of the number is 2x multipled by 6
2x(6) equating to eleven times the number 11x minus 7/6
gives an equation as in step 1
multiply 6 by 2x to give a more simple equation
collect like terms so you have an equation as in step 3
simplify to get your final answer
Amanda wants to purchase a new printer and is comparing printing speeds between two different printers. Printer a can print 400 pages in 40 minutes, and printer b can print 760 pages in the same amount of time. How many more pages per minute can printer b print than printer a?.
Answer:
9 More Pages Per Minute
Step-by-step explanation
Printer A: 400/40 = 10
Printer B: 760/40= 19
Difference Between Printers: 19-10= 9
what is 28.5dived by 11 equal explain how you got the answer.
The solution to the statement is 2.591
How to determine the solution to the statement?From the question, we have the following mathematical statement that can be used in our computation:
what is 28.5dived by 11 equal
Rewrite the statement properly
So, we have
what is 28.5 divided by 11 equal
This means that we divide 28.5 by 11
So, we have the following representation
28.5/11
Evaluate the quotient
28.5/11 = 2.591
Hence, the result is 2.591
Read more about word problems at
https://brainly.com/question/21405634
#SPJ1
What is the yield on a corporate bond with a $1000
face value purchased at a discount price of $950, if
it pays 6% fixed interest for the duration of the
bond?
The yield on a corporate bond with a face value of $1000 after removal of discount would be =$60.
What is interest rate?Interest rate can defined as the payment received by an individual after investing a particular amount of money for a given period of time.
The principal amount after removal of $950 discount = $1000
The rate of interest (R) = 6%
The time of investment (T) = 1
Then the simple interest;
= P × T × R/100
= 1000 × 1 × 6/100
= 6000/100 = $60
Therefore, the yield of the corporate bond would be extra $60.
Learn more about simple interest here:
https://brainly.com/question/25793394
#SPJ1
