An exponential decay function is flx) = (-3)9, the correct option is D.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x) =4
An exponential decay function is a function of the form:
f(x) = ab^x
where a and b are positive constants and b < 1.
The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.
To find which option is an exponential decay function, we need to compare their values of b.
Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.
Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.
Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.
Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.
Therefore, by exponential growth and decay the answer will be flx) = (-3)9
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
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Help!!!!
The line segments in the circle to the right are both diameters with
length 2. Find the area of the white region. Leave your answer in
terms of pie
Answer:
pi/4
Step-by-step explanation:
diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4
The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False
Answer:
May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.
Question below! :)
Brainliest!
Answer:
Point C, because it is the only place on the picture where the lines cross.
Answer:
point C
Step-by-step explanation:
That is the point where they intersect
What is the answer for this math problem?
Answer:
9 feet
Step-by-step explanation:
v = lwh (volume equals length times width times height)
75.6 = 4 x 2.1 x d
multiply l and w, which is 4 x 2.1
75.6 = 8.4 x d
divide 75.6 by 8.4
9 = d
Answer:
The value of j is 9feet
Step-by-step explanation:
[tex] \hookrightarrow \sf \: v = whl[/tex]
⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]
⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]
Step 1: Simplify both sides of the equation.
⇒[tex] \sf {75.6=8.4j}[/tex]
Step 2: Flip the equation.
⇒[tex] \sf {8.4j=75.6}[/tex]
Step 3: Divide both sides by 8.4.
⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]
⇒[tex] \sf {j=9}[/tex]
I need this answered please
Answer:
37
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets put the values in now :)
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
Now we need to find the square root!
[tex]\sqrt{1369}[/tex] = 37
Have a great day!!
Please rate and mark brainliest!!
Hey Buddy !
Question : -For the following right triangle , find the side length x .
Given : - Perpendicular = 12 Base = 35Hypotenuse = x To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .
Pythagoras Theorem : -According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .
[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseFrom Here Solution Starts : -Substituting the values in formula :
x² = 12² + 35²x² = 144 + 1225x² = 1369x = √1369x = 37[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]
#[tex] \rm{ \bold{Keep \: Learning}}[/tex]This is 15 points for whoever answers.
Answer:
Y = 40
Step-by-step explanation:
First, find the slope-intercept of the table
Slope-intercept form: y = mx + b
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(3, 1) and (6,2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+b[/tex]
Find b using (6,2):
[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]
[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x[/tex]
What will be the value of Y when X = 120?
Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]
[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]
(120, 40)
Therefore, when X = 120, Y = 40
Hope this helps!
solve kx + 7 = 4 for x
Answer:
are we looking for x if we are its
Step-by-step explanation:
x= -3/k
Answer:
x = -3/k
Step-by-step explanation:
Solve kx+7=4 for x
kx+7=4
kx =4 - 7
kx = -3
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?
Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
Given: AABC,
AB=BC,
BD 1 AC,
P
AABC
BC = 50,
= 40
ABD
Find: BD
Answer: 15
Step-by-step explanation:
fully explain why, in general, (a + b)^2 = a^2 +b^2.
No this is not correct identity
(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²Hence it's wrong
Answer:
Below!
Step-by-step explanation:
Let's simplify each side to determine if both sides are equal.
Left hand side of the equation:
Expression: (a + b)²This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².
⇒ a² + 2(a)(b) + b²When opening the parenthesis, we get;
⇒ a² + 2ab + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Right hand side of the equation:
Expression: a² + b²This expression cannot be simplified further as there are no like terms in the expression obtained.
Given equation:
(a + b)² = a² + b²This can be rewritten as;
a² + 2ab + b² = a² + b² (False)Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².
You are given the following system of equations: y:
- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?
Answer:
70.
Step-by-step explanation:
1) to calculate the values of the 'x':
4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔
x₁=7; x₂=10;
2) to calculate the required k:
k=x₁*x₂; k=7*10=70.
given g(x)= cubed root of x-5,on what interval is the function negative?
a. (-infinity,-5)
b. (-infinity,5)
c. (-5,infinity)
d. (5,infinity)
The cube root function is negative on the interval (-∞, 5), so the correct option is b.
When the function is negative?
Here we have the cube root function:
g(x) = ∛(x - 5)
This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:
x - 5 < 0
x < 5
So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.
If you want to learn more about functions, you can read:
https://brainly.com/question/15602982
Find the area. HELP PLEASE!!!
IF ITS CORRECT I WILL GIVE YOU A BRAINLIEST.
Answer:
135
Step-by-step explanation:
Use formula b(h) which is 9x15 and get 135
The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?
Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?
Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.
Answer:
Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.
The attachment cannot be uploaded because it isn't JPEG :(
How a find the value of y in y = x-7?
Answer:
7
Step-by-step explanation:
Accurate information
first a price was decreased by 12% then it was discounted again by 5% what is the percent of the total discount. From RSM
x = original price or 100%
so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]
now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.
so what's 95% of 0.88x?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]
so the new discounted price is just 0.836x or 83.6% of our original "x".
from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.
please help me due today and giving 23 points
Answer:
The answer is b. 4*3 2/5.
Step-by-step explanation:
It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.
Factor completely 9x3 + 36x2 - x - 4.
(3x + 4)(3x – 4)(x + 1)
(3x + 1)(3x - 1)(x + 4)
(9x2 - 1)(x + 4)
-
(3x + 1)(3x – 1)(x – 4)
-
The correct answer is: (3x + 1)(3x - 1)(x + 4)
Determine whether these two triangles are similar, and if so what is the ratio of their sides?
Yes, ratio = 3/4
No, these triangles are not similar
Yes, ratio=3/8
Yes, ratio=4/5
Answer:
not similar
Step-by-step explanation:
4/3 = 1.3333...
10/8 = 1.25
The ratios are not equal, so the triangles are not similar.
In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?
∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 = 2x - 8
(if u need a specific number)
∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8
∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180
-> 3x + 6 = 180
x = (180-6)/3 = 58.
Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.
What is the total area, in square inches, of the shaded sections of the trapezoid below?
Answer:
64.5 in²
Explanation:
[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]
Solve for the entire trapezoid:
[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]
[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]
Solve for the unshaded rectangle:
Length * Width6.5 * 8.655.9 in²Area of the shaded region:
120.4 in² - 55.9 in²64.5 in²If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!
Find the area of the rug. DO NOT ROUND.
what is the area?
Answer:
28.26 ft²
Explanation:
[tex]\sf area \ of \ circle = \pi r^2[/tex]
Here given diameter: 6 ft
radius: d/2 = 6/2 = 3 ft
========
area of rug:
[tex]\dashrightarrow \ \pi (3)^2[/tex]
[tex]\dashrightarrow \ 9\pi[/tex]
[tex]\dashrightarrow \ 9(3.14)[/tex]
[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]
Answer:
[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Step-by-step explanation:
Step-1) Determine the radius of the rug:
Given diameter: 6 feet
⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]Substitute the diameter to obtain the radius of the rug.
⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]Step-2) Find the area of the rug by substituting the radius in the formula:
Area of circular rug = πr²
= [tex]\pi (3)^{2}[/tex]
= [tex]\pi (3)(3)[/tex]
= [tex]\pi(9)[/tex]
Substituting π as 3.14 (Stated in comments):
= [tex](3.14)9[/tex]
= [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]
Should you use Sine, Cosine, or Tangent to solve the following problem?
Answer:
sine
.....................
100 POINTS PLEASE HURRY
Answer:
5.80^3
Nan buys a greeting card for 2 dollars and 29 cents. She pays with three $1 bills.
Answer:
71 cents
Step-by-step explanation:
Please help! And show how u solve!
Find X
Answer: 36
Step-by-step explanation:
Transformation MATHS
anyone pls help me fond a solution to this ques
======================================================
Explanation:
Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).
To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).
In general the rule is [tex](x,y) \to (x,-y)[/tex]
---------------------
Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].
For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.
As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.
----------------------
Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).
We're given the point (g,h) where we don't know g nor h.
The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.
Then applying transformation W has us get to (-h, -g) as the final answer.
----------------------
As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.
Apply transformation W to go from (g,h) to (h,-g)Apply transformation V to go from (h,-g) to (h,g)The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.
However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.
help me please, please
The little square means a right angle which is equal to 90 degrees.
X + 30 = 90
X = 60 degrees