Answer:
It is false that, if the national economy shrank at an annual rate of 9% per year for three consecutive years then the economy shrank by 27% over the 3-year period, because this percentage does not follow a linear path, but on the contrary, it is calculated exponentially: 9% of each year is calculated on the rest that remained after discounting 9% the previous year.
Thus, if the national economy has a value of 100, after three years it will not have a value of 79, but a value of 75.35, as it arises from the following calculation:
100 x 0.91 ^ 3 = X
100 x 0.753571 = X
75.35 = X
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
Please help! I don’t understand how to solve it with no angle
Answer: c) tan x = 43/18
Step-by-step explanation:
Tan = Toa = Opposite/Adjacent
Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples
Here is one: PEMDAS
12- ( 6 + 3) - 19 x 1 divided by 1
I hope this helps
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
Will mark Brainlest (if you were to roll the dice one time ,what is the probabilty that it will land on an even number) step by step pls
we learned this in our lower i dont remember exactly but i think~
the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number
Answer:
1/2
Step-by-step explanation:
n(E) = 9
n(S) = 18
p(E1) = [tex]\frac{n(E1)}{n(S)}[/tex]
=9/18
=1/2
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
A parabolic satellite television antenna has a diameter of 16 feet and is 1 foot deep. How far is the focus from the vertex
Answer:
[tex]P=16ft[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Generally the equation for a Parabola is mathematically given by
[tex]y=ax^2[/tex]
Since of the parabola has
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Therefore it passes through
[tex]x=(8,1)[/tex]
Therefore
[tex]1=a(8)^2[/tex]
[tex]a=\frac{1}{64}[/tex]
Since P(distance from focus to the vertex)
[tex]a=\frac{1}{4p}[/tex]
Substituting
[tex]\frac{1}{64}=\frac{1}{4p}[/tex]
[tex]P=16ft[/tex]
the average of three numbers is 25. two of the numbers are 18 and 40. what is the third number
Step-by-step explanation:
the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you
The third number is 17
Average
The average of numbers is the mean value of the numbers
The given parameters are:
Average = 25Numbers = 18 and 40Assume the third number is x
So, the average is calculated as:
[tex]Average = \frac{\sum x}{3}[/tex]
This gives
[tex]\frac{18 + 40 + x}{3} = 25[/tex]
[tex]\frac{58 + x}{3} = 25[/tex]
Multiply both sides by 3
[tex]58 + x = 75[/tex]
Subtract 58 from both sides
[tex]x = 17[/tex]
Hence, the third number is 17
Read more about average at:
https://brainly.com/question/20118982
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
If a linear regression has a correlation coefficient of 0.85, which of the following statements is true?
1.The data is too scattered to fit a function to it.
2.The data does not have linear association.
3.The data has a weak linear association.
4.The data has a strong linear association.
Answer:
4.The data has a strong linear association.
Step-by-step explanation:
The correlation coefficient is used to determine how related points in a data set are. The coefficient is always in between 0 and 1 (or negative 1 and 0), with 0 being not related and 1 being completely related. So, the closer the coefficient is to 1 (or -1) the stronger the association. Since 0.85 is close to 1 it can be said that the data has a strong linear association.
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
Geometry
What is the value of x?
Enter your answer in the box.
x = °
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180
30+70+x = 180
100 +x = 180
x = 180-100
x = 80
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
PLEASE HELP !!! URGENT
Answer:
The answer is B--> 111 degrees
Answer:
Here
X=75+36(Exterior angle of a triangle is equal to sum of interior opposite angle)
X=111
if the price of 6 books is rs.480. find the price of such 3 books
3 is half of 6, so the price for 3 would be half the price of 6 books.
480/2 = 240
The price for 3 books is 240
Answer:
[tex] \large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION : }}[/tex]
We're provided - price of 6 books = Rs 480 & we're asked to find out the price of 3 books.Firstly , find out the price of 1 book.Use the unitary method for obtaining unit quantity. For the cost of 1 book , the cost of 6 books should be divided by 6 [ i.e 480 / 6 ].[tex] \large{ \tt{↦ \: PRICE \: OF \: 1 \: BOOK = \frac{480}{6} = \boxed{ \tt{Rs \: 80}}}}[/tex]
Secondly , Find out the price of 3 book as we're asked above. Since the cost of 3 books is more than that of 1 book, the cost of 1 book should be multiplied by 3 [ i.e 80 × 3 ][tex] \large{ \tt{↦ \: PRICE \: OF \: 3 \: BOOK = 80 \times 3 = \boxed{ \boxed{ \tt{Rs \: 240}}}}}[/tex]
And we're done![tex] \large{ \boxed{ \boxed{ \tt{⇝ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \tt{Rs \: 240}}}}}}}[/tex]
✺ Procastinating ? - There are millions of people out there crying to get one more chance ! ♪
[tex] \large{ \mathfrak{ \# StayInAndExplore \:! \: ☂}}[/tex]
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Consider the functions
f(x) = xn and g(x) = xm
on the interval [0, 1], where m and n are positive integers and n > m. Find the centroid of the region bounded by f and g.
Assuming the region is of uniform density, compute the mass of the region and its moments.
If n > m, then in the interval [0, 1] we have f(x) ≤ g(x). This means the mass is
[tex]M=\displaystyle\int_0^1(g(x)-f(x))\,\mathrm dx=\left(\frac{x^{m+1}}{m+1}-\frac{x^{n+1}}{n+1}\right)\bigg|_0^1=\frac1{m+1}-\frac1{n+1}[/tex]
The moments are
[tex]M_x=\displaystyle\int_0^1\frac{g(x)^2-f(x)^2}2\,\mathrm dx=\frac12\left(\frac{x^{2m+1}}{2m+1}-\frac{x^{2n+1}}{2n+1}\right)\bigg|_0^1=\frac12\left(\frac1{2m+1}-\frac1{2n+1}\right)[/tex]
[tex]M_y=\displaystyle\int_0^1x(g(x)-f(x))\,\mathrm dx=\int_0^1(x^{m+1}-x^{n+1})\,\mathrm dx=\left(\frac{x^{m+2}}{m+2}-\frac{x^{n+2}}{n+2}\right)\bigg|_0^1=\frac1{m+2}-\frac1{n+2}[/tex]
Then the centroid is
[tex](\overline x,\overline y)=\left(\dfrac{M_y}M,\dfrac{M_x}M\right)=\boxed{\left(\dfrac{(m+1)(n+1)}{(m+2)(n+2)},\dfrac{(m+1)(n+1)}{(2m+1)(2n+1)}\right)}[/tex]
SADIDA NEEDED TO REORDER
SHIRTS FOR HER CLOTHING STORE.
SHE ORDERED 63 MEDIUM SHIRTS
AND 27 LARGE SHIRTS, WHAT WAS
THE RATIO OF MEDIUM TO LARGE
SHIRTS?
ratio of medium shirts to large shirts
63/27
=7:3 [Ans]
NASCAR A driver receives -25 points for each
rule violation. What integer represents the
change in points after 4 rule violations?
Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
I just wanna kno how yo day goin n who ur top 3 fav rappers
Answer:
Step-by-step explanation:
Ynw melly.lil uzi vert, pop smoke
Answer:
min yoongi, jung hoseok, kim namjoon
Step-by-step explanation:
heh.
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
BET YOU CANT SOLVE THIS.......
Answer:
Step-by-step explanation:
20/5=4
as both the diagrams are similar.
so area of ABCD=4² ×area of EFGH=16×40=640 sq.cm.
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
can someone help asap
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8