the answer is : 9.72×10^4 or 972×10^2
Step-by-step explanation:
l didn't agree with the answer because
(1.72×10^4 + 8×10^4)
form above take common i.e., 10^4 so we get,
10^4 (1.72+8.00)
10^4(9.72)
so we get the answer is : 9.72×10^4 or
(972÷100)10^4
972 × 10^-2 ×10^4
972× 10^(-2+4)
972× 10^2
i need help with this question
Answer:
60
Step-by-step explanation:
10x = (21x - 3)/2
20x = 21x - 3
x = 3
measure of arc HF = 21x - 3 = 21(3) - 3 = 60
Min50 , Q1 62, median 84, Q3 96, Max 99
Using the interquartile range, which of the following are outliers? Select all correct answers.
Select all that apply:
3
6
21
60
Answer:
3 and 6
Step-by-step explanation:
IQR = Q3-Q1=96-62=34
Lower Outlier = Q1 - 1.5*IQR = 62 - 1.5*34 = 11
Any Value under 11 is Considered as Outlier
Then 3 and 6 are Outliers
Upper Outlier = Q3 + 1.5*IQR = 96 + 1.5*34 = 147
Any Value Above 147 is Considered as Outlier
There is no Value above 147
The Only Outliers are 3 and 6
Kiki's cat eats 23 cups of food twice a day.
How many cups of food does her cat eat each day?
Enter your answer in the box as a mixed number in the simplest form.
cups
What is the name of our number system?
decimal system is the name of our number system.
Answer:
Our Number System is Hindu Arabic Number System.
The digits are: 0,1,2,3,4,5,6,7,8,9
A number is greater than or equal to three times another number. what are the numbers?
Answer:
THE AWNSWER IS A≥3B
Step-by-step explanation:
A≥3B
the smiths spend 11% of their budget on entertainment. their total budget this year is $1,000 more than last year, and this year they plan to spend $4,620 on entertainment. what was their total budget last year?
Answer: $41000 Was the Smiths family budget last year.
Step-by-step explanation:
First you take $4620 and DIVIDE it by .11 you will get $42000 and since last year had $1000 less to spend you subtract $1000 from $42000 to get $41000 for the budget last year.
Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1.25 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Aaliyah's total pay on a day on which she sells xx computers.
Answer:
p = 1.25x + 70
Step-by-step explanation:
We know she makes $70 each day and we know she makes $1.25 for each computer she sells.
With that we can add it into an equation because we can add 70 + 1.25, but the amount for each computer she sells in unknown so we give it an x which makes it 1.25x.
So, we do 1.25x + 70, but the amount total is missing so that is our p.
This finally completes our equation, p = 1.25x + 70 or 1.25x + 70 = p
A regular octagon has an apothem of approximately 3.5 cm and a perimeter of approximately 23.2 cm.
Find the area of the octagon.
Answer:
81.2 cm
Step-by-step explanation:
4. Compute the inverse Laplace transform of
[tex]F(s)= \frac{1}{{s}^{4} } + \frac{3s}{{s}^{2} + 9 } [/tex]
[tex]F(s)= \frac{7}{s} + \frac{6}{{s} + 4} - \frac{5}{ {s}^{2} + 16} [/tex]
[tex]F(s)= \frac{1}{(s - 2)(s + 1)(s - 3)} [/tex]
[tex]F(s)= \frac{s + 2}{ {s}^{2} (s + 1)(s - 1)} [/tex]
[tex]F(s)= \frac{s + 1}{ {s}^{2} (s + 1)} [/tex]
Answer:
See below for all answers and explanations
Step-by-step explanation:
1st Problem
[tex]F(s)=\frac{1}{s^4}+\frac{3s}{s^2+9}\\\\f(t)=\frac{t^3}{6}+3cos(3t)[/tex]
2nd Problem
[tex]F(s)=\frac{7}{s}+\frac{6}{s+4}-\frac{5}{s^2+16}\\ \\f(t)=7+6e^{-4t}-\frac{5}{4}sin(4t)[/tex]
3rd Problem
[tex]F(s)=\frac{1}{(s-2)(s+1)(s-3)}\\\\\frac{1}{(s-2)(s+1)(s-3)}=\frac{A}{s-2}+\frac{B}{s+1}+\frac{C}{s-3}\\ \\1=(s+1)(s-3)A+(s-2)(s-3)B+(s-2)(s+1)C[/tex]
[tex]1=(-1+1)(-1-3)A+(-1-2)(-1-3)B+(-1-2)(-1+1)C\\1=12B\\\frac{1}{12}=B[/tex]
[tex]1=(3+1)(3-3)+(3-2)(3-3)B+(3-2)(3+1)C\\1=4C\\\frac{1}{4}=C[/tex]
[tex]1=(2+1)(2-3)A+(2-2)(2-3)B+(2-2)(2+1)C\\1=-3A\\-\frac{1}{3}=A[/tex]
[tex]F(s)=\frac{-\frac{1}{3}}{s-2}+\frac{\frac{1}{12}}{s+1}+\frac{\frac{1}{4}}{s-3}\\ \\f(t)=-\frac{1}{3}e^{2t}+\frac{1}{12}e^{-t}+\frac{1}{4}e^{3t}[/tex]
4th Problem
[tex]F(s)=\frac{s+2}{s^2(s+1)(s-1)}\\ \\\frac{s+2}{s^2(s+1)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s+1}+\frac{D}{s-1}\\\\s+2=s(s+1)(s-1)A+(s+1)(s-1)B+s^2(s-1)C+s^2(s+1)D\\ \\s+2=s^3A-sA+s^2B-B+s^3C-s^2C+s^3D+s^2D\\\\s+2=s^3(A+C+D)+s^2(B-C+D)-sA-B[/tex]
[tex]\begin{cases} A + C + D = 0\\B - C + D = 0\\- A = 1\\- B = 2 \end{cases}[/tex]
[tex]A+C+D=0\\(A+C+D=0)+(B-C+D)=0\\A+B+2D=0\\-1-2+2D=0\\-3+2D=0\\2D=3\\D=\frac{3}{2}[/tex]
[tex]A+C+D=0\\-1+C+\frac{3}{2}=0\\ \frac{1}{2}+C=0\\ C=-\frac{1}{2}[/tex]
[tex]F(s)=\frac{-1}{s}+\frac{-2}{s^2}+\frac{-\frac{1}{2}}{s+1}+\frac{\frac{3}{2}}{s-1}\\ \\f(t)=-1-2t-\frac{1}{2}e^{-t}+\frac{3}{2}e^{t}[/tex]
5th Problem
[tex]F(s)=\frac{s+1}{s(s^2+1)}\\\\\frac{s+1}{s(s^2+1)}=\frac{A}{s}+\frac{Bs+C}{s^2+1}\\\\s+1=(s^2+1)A+s(Bs+C)\\\\s+1=s^2A+A+s^2B+sC\\\\s+1=s^2(A+B)+sC+A[/tex]
[tex]\begin{cases} A + B = 0\\C = 1\\A = 1 \end{cases}[/tex]
[tex]A+B=0\\1+B=0\\B=-1[/tex]
[tex]F(s)=\frac{1}{s}+\frac{-s+1}{s^2+1}\\ \\F(s)=\frac{1}{s}+\frac{1-s}{s^2+1}\\\\F(s)=\frac{1}{s}+\frac{1}{s^2+1}+\frac{-s}{s^2+1}\\\\f(t)=1+sin(t)-cos(t)[/tex]
How would I solve for X and Y?
Answer:
x = 10
y = 5√3
Step-by-step explanation:
SOLVE FOR X :
ABC = 90°
ABC + ACB + BAC = 180°
90° + ACB + 30° = 180°
ACB = 60°
cos(ACB) = BC/AC
cos(60°) = 5/x
x = 10
SOLVE FOR Y:
tan(BAC) = BC/AB
tan (30°) = 5/y
y = 5√3
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
How many different 4 letter passwords can be created if the letters can be
repeated?
Answer:358800
Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800
Step-by-step explanation:
Saraid is dividing 1/4 pound of cashews into 5 plastic bags. What
fraction of a pound of cashews will be in each plastic bag?
Draw a model to help you solve.
(Please draw a model )
Answer: 20 Pounds
Step-by-step explanation:
1/4 X 5 = 1/20 then reverse it
20/1 = 20 Pounds
(may not be correct!!!)
Trishia is 4 years older than Caila now. The sum of their ages in 8 years from now will be 38. How old are Caila and Trisha now?
Answer: 13 and 9
Step-by-step explanation:
because since there are two people 38-(8x2)=22
The only numbers that add up to 22 that have a difference of 4 are 13 and 9
Another way:
T=C+4
T+8+C+8=38
C+4+C+8=
Write the equation which is the sum of the three numbers y, y l and y 2.
Answer:
3y + 3 or 3(y+1)
Step-by-step explanation:
y + y + 1 + y + 2
= 3y + 3
= 3(y+1)
Consider the line y=9x-5. Find the equation of the line that is perpendicular to that line and passes through the point (-3,-3)
Answer:
y=(-1/9)x-(10/3)
Step-by-step explanation:
Since the line is perpendicular to y=9x-5, the slope of that line would be the opposite of the reciprocal of the original slope value. In this case, the slope of the line would be -1/9. So we have y=(-1/9)x+? Since we know a point, (-3, -3), we can input this back into our original equation and we have: -3=(1/3)+? We simplify and we have ?=-10/3. Therefore the final equation of the line that is perpendicular to that line and passes through the point (-3,-3) is y=(-1/9)x-(10/3).
If b-10 = 5, what is the value of b-6?
The answer is 21. Hope this Helps!
. I am a factor of 120. • I am a multiple of 2. . I am a multiple of 3. . I am 1 away from a multiple of 5. Who am I?
Answer: 30
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
30 is the correct answer
Find the area of the polygon
Answer:
Area of a regular polygon formulas
Step-by-step explanation:
area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)
area = perimeter * ri / 2 , given ri and polygon perimeter.
area = n * (ri)² * tan(π/n) , given ri.
Beginning with the graph of f(x) = x2, what transformations are needed to form g(x) = -(x - 6)2 + 3?
O The graph of g(x) opens upward and is shifted to the right 6 units and up 3 units.
The graph of g(x) opens upward and is shifted to the left 6 units and up 3 units.
The graph of g(x) opens downward and is shifted to the right 6 and up 3 units.
The graph of g(x) opens downward and is shifted to the left 6 units and up 3 units.
The graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units.
How to apply rigid transformations on a given function
Let be [tex]f(x) = x^{2}[/tex], we need to apply the following three rigid transformations on [tex]f(x)[/tex] to obtain [tex]g(x)[/tex]:
Reflection around the x-axis: [tex]f'(x) = -x^{2}[/tex]Translation in the +x semiaxis: [tex]f''(x) = -(x-6) ^{2}[/tex]Translation in the +y semiaxis: [tex]g(x) = -(x-6) ^{2}+3[/tex]Hence, the graph of [tex]g(x)[/tex] opens downward and is shifted to the right 6 and up 3 units. [tex]\blacksquare[/tex]
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
Answer:
The graph of opens downward and is shifted to the right 6 and up 3 units.
Find the surface area of a triangular prism
Answer:
The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 are the edges of the base triangle.
the whale swims down 150 more feet more. what is the whales elevation now
Answer:
i think it's 22500 deep down to the ocean
Translate the sentence into an inequality.
The sum of six times a number and five is greater than the difference of three times a number and two.
How do you know when the Solve box has more than one page of information? A) The page indicator shows 1/4. B) There is an answer box. C) There is a Check Button. D) The words are set apart in a box. Will Mark Brainliest if answered correctly.
Answer:
A) The page indictor shows 1/4
Step-by-step explanation:
Because 1 is out of a multiple 4 pages.
Hope it helps.
Which algebraic property is used to rewrite 2(x + 3) as 2x + 6? (1 point)
Answer:
The distributive property
Step-by-step explanation:
2 is being used to multiply both terms (x and 3)
Hope this helps!
Answer:
Distributive property
Step-by-step explanation:
Distributive property: a*(b + c) =(a*b) + (a*c)
2(x + 3) =2*x + 2*3
=2x + 6
8 times the difference between b and 4 in a variable expression
Answer:
8( b - 4 )
Step-by-step explanation:
8 x ( b - 4 )
8( b - 4 )
I hope this helps!
At the end of an accounting period a company total assets equaled $535,000 and liabilities equaled $210,000 how much was the companys owners equity
How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?
A. $1258.70
B. $1372.70
C. $1589.90
D. $2304.70
Answer:
D. $2304.70
Step-by-step explanation:
a typical 2000 square foot house may cost anything from $200000 to $300000
Hope it helps!!!brainliest pls!!!!Step-by-step explanation:
How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?
B. $1372.70
3. Consider the straight line x + y = 1 and the family of straight lines that pass
through the origin given by y = mx. As m changes the line rotates about the
origin. Solve these two systems of linear equation and find their points of inter-
section. Is there always a solution - If yes, briefly explain why. If not - for what
a
values of m is there no solution.
Answer:
solution: (1/(1+m), m/(1+m))no solution for m = -1 (lines are parallel)Step-by-step explanation:
Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.
The solution to the system can be found by substitution:
x +mx = 1
x(1 +m) = 1 . . . . factor out x
x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1
y = m/(1+m) . . . . find the y-coordinate of the solution
The point of intersection is (1/(1+m), m/(1+m)).
__
The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.
Find the area of the yellow region, and no the answer to this exact question before was not correct. Thank you!
Answer:
39 sq.in
Step-by-step explanation:
find area of circle then subtract
Answer:
3.9 in²
Step-by-step explanation:
The shape is constructed of 2 semicircles (with diameter of 6 in) inside a square. Therefore, to calculate the yellow region, subtract the area of the semicircles (which form a circle) from the area of the square, then halve the answer.
Area of a square = [tex]x^2[/tex] ([tex]x[/tex] is the length of one side)
Given:
side length = 6 in⇒ area of the square = 6² = 36 in ²
Area of a circle = [tex]\pi r^2[/tex]
Diameter of a circle = 2r
(where r is the radius)
Given:
diameter = 6 in ⇒ r = 3 in⇒ area of the circle = [tex]\pi[/tex] × 3² = 9[tex]\pi[/tex] in²
Area of yellow region = (area of square - area of circle) ÷ 2
= (36 - 9[tex]\pi[/tex]) ÷ 2
= 3.9 in² (nearest tenth)
A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% compounded monthly, determine the due date of the note. (hint: find n then convert it into days and use excel sheet to add it to issue date)
In the box below show these parameters:
PV=....., FV=.....
The due date of the promissory note is May 24th 2013.
Data;
Present Value (PV) = $3600Interest = $370Future Value (FV) = PV + I = $3600 + $370 = $3970Due Date of the NoteTo calculate the due date of the note, we can use the formula of future value of the note.
[tex]FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n[/tex]
Let's take the natural log of both sides
[tex](1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28[/tex]
This is approximately 12 months and 9 days.
The due date of the promissory note is May 24th 2013.
Learn more on promissory note here;
https://brainly.com/question/25793394
https://brainly.com/question/4267195