Answer:
-7.5 %
Step-by-step explanation:
Percent change can be calculated as
(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.
Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
The function that best defines this arithmetic sequence is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.The recursive function that defines the sequence is:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(1) = f_0[/tex]
In which [tex]f_0[/tex] is the first term.In this problem, the sequence is: {9, 5, 1, -3}
Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].Hence, the function is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]You can learn more about arithmetic sequences at https://brainly.com/question/6561461
To identify the functions which best define the given sequence, we have to identify the number pattern.
The correct option is (a).
Given:
The given sequence is as follows,
[tex]9,5,1,-3[/tex]
What is an arithmetic sequence?The arithmetic sequence define as the difference between two consecutive number would be same.
If we subtract 4 form each digit we will get next digit.
[tex]9-4=5\\5-4=1\\1-4=-3[/tex]
So the function would be,
[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]
The option (b) and (d) show the increasing function whereas we have decreasing sequence.
Thus, the correct option is (a).
Learn more about arithmetic sequence here
:https://brainly.com/question/12637273
PLS HELP using only the marking in the diagram, what theorem can be used to show that the two triangles are congruent
a.) AAS
b.)ASA
c.)HL
d.)SSS
Just gonna attach a picture of the problem so it’s easier
Answer:
Step-by-step explanation:
Part A
The first thing you have to do is develop a formula for the line.
It goes through (-2,3)
It has a y intercept of (0,-1)
So far what you know is
y = mx - 1
x = - 2
y = 3
3 = m(-2) - 1 Add 1 to both sides
3 + 1 = (-2)*m
4 = - 2*m Divide by - 2
4/-2 = m
m = - 2
The equation of the line is y = -2x - 1
Instead of y, we can use f(x)
f(x) = -2x - 1
Finally we can solve this part of the question.
f(1) = - 2(1) - 1
f(1) = -2 - 1
f(1) = - 3
Part B
f(x) = 5
y = 5
5 = -2x - 1 Add 1 to both sides
5+1 = - 2x Divide by - 2
6 / -2 = -2x/-2
-3 = x
h(x) = 2x2 + x + -3
Find h(2)
Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: https://brainly.com/question/24734894
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
Question 28
What is the speed in m/s of a car that travels 30km in 20 minutes?
A: 1500 m/s B: 150 m/s
C: 90 m/s
D: 540 m/s
E: None of these
Answer:
E none of these
Step-by-step explanation:
first convert the 30 km into m
it will be 30000m
speed = distance /time taken
convert the time into seconds too it will be 1200
so 30000/1200 = 25m/s
none of the above
Please don’t answer just for points! Help is really needed~
i dont understand
what do we need to do?
The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?
Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
Find the total surface area of this triangular prism
25 cm
24 cm
10 cm
14 cm
Answer:
Area = (Length * (a + a * (sin(Angle γ) / sin(Angle γ + Angle β)) + a * (sin(Angle β) / sin(Angle γ+Angle β)))) + a * ((a * sin(Angle γ)) / sin(Angle γ + Angle β)) * sin(Angle β)
Given that f(x)=x-5 g(x)=5x and h(x)=-f(x+1)-3g(x-1), then what is the value of h(3)?
please show step by step answer.
Answer:
Step-by-step explanation:
f(x) = x - 5 and g(x) = 5x
- f(x + 1) = - ( x + 1 - 5 ) = 4 - x
- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x
h(x) = 4 - x + 15 - 15x = 19 - 16x
h(3) = 19 - 16(3) = - 29
-5x-/(3x-7)+4(3x-5)-(6x-9)
Answer:
-5x / 9x - 18
Step-by-step explanation:
= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying rule : ( a ) = a
then, ( 3x - 7 ) = 3x - 7
= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying the fraction rule : -a/b = a/b
= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= -5x / 9x - 8. Answer!
The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:
Answer:
Minimum: 29
Lower Quartile: 35
Median: 43
Upper Quartile: 46
Maximum: 60
Interquartile Range: 11
Step-by-step explanation:
Which sequence shows the numbers in order from least to
greatest?
1
2
-3
4
3
-3
OA) 2 3
} }
OB) Ź. *.
oc) * * Ź
OD) * *
4
Answer:
-3 1 2 3 4
Step-by-step explanation:
Answer:
-3 1 2 3 4
Step-by-step explanation:
algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14
Describe two types of transformations that can be used to transform f(x) to g(x)
Solve for k in each type of transformation.
Write an equation for each type of transformation that can be used to transform f(x) to g(x).
A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had an area of 200 by 300 meters ,what is the value x?
Answer:
x = 100
Step-by-step explanation:
The larger area is ...
A = LW
A = (300+x)(200+x) = x^2 +500x +60,000
The smaller area is ...
A = (200)(300) = 60,000
We want the larger area to be double the smaller area, so ...
x^2 +500x +60,000 = 2(60,000)
x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000
x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square
(x +250)^2 = 350^2
We're interested in the positive solution, so we can take the positive square root to find it:
x +250 = 350
x = 100 . . . . . . . . . subtract 250
_____
The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.
Which graph represents the function?
Answer:
First one ( top left)
This has an open circle at y = 3 which means the 3 is not included.
Then the y value of the second line equals the x value.
Question in picture
Answer:(-8,6) (-5,8
Step-by-step explanation:
HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain
Answer:93 grams Zinc
Step-by-step explanation:3 Zinc : 13 Copper
x 31 x 31
93 Zinc, 403 Copper
or
set up a proportion, cross multiply, and solve for the variable:
3(403) = 13(x)
3(31) = x
93 = x
how many possible number of facemask and face shield can an online seller could sell to get an amount of the least php2 000 based on the data above
Columbus would have taken some live animals aboard for food sources. If there were one hundred forty one animals, of which seventy two were rabbits and the rest were chickens,what percentage of animals were chickens? Round your answer to the nearest percent.
Answer:
49
Step-by-step explanation:
hope it will help I think 49 is the answer
pleaseee help lol also show work if you can please
Answer:
Answer is x = 31.5
Step-by-step explanation:
Explanation is in the picture. Pls give brainliest. :D
The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard
Answer:
$49
Step-by-step explanation:
70 x 30%
70 x 0.3
21
70 - 21
49
a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work
Answer:
Maximum height is 64 feet
Step-by-step explanation:
For all: h= -16t²+ 32t + 48
1) AOS -> a = -16; b = 32; c = 48
x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1
2) Plug in AOS
h = -16(1)² + 32(1) + 48
h= -16 + 32 + 48
h= 16 + 48
h= 64
Max height is 64
Can someone plz help Me?
Answer:
C.
Step-by-step explanation:
Dont quote me but im pretty sure it's C here's why:
2/3 is .667 which means the trash compactor crushes the trash .01 kilo per 1 second 3/8 minutes being closest .25 means that it can crush it roughly in 22 second or 3/8 minutes.
Which option is an example of a survey?
A. Asking students in a school how much time they spend exercising
B. Flipping a coin 50 times and counting the number of heads
C. Measuring the heights of the players on the basketball team
D. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another
classroom that doesn't use it
Answer:
I think the answer is A
Step-by-step explanation:
The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
What is an survey?An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.
Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.
Example of a survey;
Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
To learn more about experiments refer to:
brainly.com/question/25303029
#SPJ2
in the united states 16 out of every 20 cans are recycled what percent of cans are recycled
Answer:
80%
Step-by-step explanation:
First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%
Answer:80%
Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation
Please help please please
Answer:
39
Step-by-step explanation:
284-5(7)²
284-(5×49)
284-245
39
Answer:
The Answer Is 70
Step-by-step explanation:
So first you have do the parentheses, (2+5) = 7
Then do the exponents [tex]7^{2}[/tex] 7.7 = 49
Next do the Multiplying 49.5= 214
Finally Subtract 284-214=70
I Hope This Helps You :)
Define the domain: {(2,3),(0,3),(4,2),(5,6)}
A. 2, 0, 4, 5
B. 0
C. 6
D. 3, 2, 6
Can someone help me please?
Answer: a=(3,-4)
B=(3,-1)
C=(5,-2)
Step-by-step explanation:
Please answer circle theorem question.
Many thx.
Answer:
x = 125
Step-by-step explanation:
Tangents from an external point to a circle are congruent , that is
CA = CB
Then Δ ABC is isosceles with base angles being congruent
∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°
∠ ABC and x are adjacent angles on a straight line and sum to 180° , so
x = 180° - 55° = 125°
Then x = 125