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
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Help me pleaseeeeeeeeeeeeeeee
Answer:
x=1
Step-by-step explanation:
since one y is positive and the other is negative, they cancel eachother out, making 3x=3. 3/3=1
what is the simplified form of the polynomial expression shown -3x^2(x-y^2)-(y^3-5)-3y^2(x^2-4y)+4x^3
Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms
Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms
Determine whether the following is a statistical question.
how many boogers does karissa the ogre have in her left nostril?
choose 1 answer:
a
statistical
b
not statistical
What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3
Answer:
C
Step-by-step explanation:
2√3 / √6 Multiply top and bottom by √6
(2√3 * √6) / (√6 √6 ) Combine left factors
(2 √18) / (√6 √6 ) (√6 √6 ) = 6
(3 √18) / 6 Factor 18
(3 √2 * 3 * 3 Take one 3 outside the brackets. Discard the other three.
3*3 *2√2/6 Divide top and bottom by 6
Answer: 3 √2
Answer:
Step-by-step explanation:
A. square root of 2, Took it on edg. and passed.
Describe the orbit of a complex number under iteration. Please hurry!
Answer:
The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.
evaluate the expression you got in part d for b = 8? (b / 2-3)
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The expression to be evaluated :
(b / 2-3)We can simpify the denominator(b / -1) ⇒ -bWe have the value of b, which is equal to 8.
Therefore, on substituting in our simplified expression :
⇒ -(8)⇒ -8Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.
Answer:
Step-by-step explanation:
if I’m correct please mark Brainalist
From the properties of a Rhombus;
Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.
If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)
If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)
Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent
Hence, it is not possible hope this helps !
No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
What is rhombus?" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."
According to the question,
Given,
Measure of the angle are 120° and 30°.
If we consider both the angles are opposite [tex]120 \neq 30[/tex]
then as per property of congruent angle in rhombus, it is not correct.
For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.
Again it is not true for rhombus.
Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
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What is the answer to the image? I am stuck on this.
Answer:
Step-by-step explanation:
x+2x+x+10=90,
4x=80
x=20
Answer:
A
Step-by-step explanation:
it is a 90 degree angle so you have to figure out what something plus 10 equals and then multiply the x by 2 so basically it's a solve and answer or redo it until you get 90° for your total
The graphs below have the same shape. What is the equation of the blue graph? G(x) =
help me pleaseeeeeeeeee
Answer:
slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]
A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.
If 20 is added to the line plot, what effects will it have on the mean and median?
Answer:
I do not know the full answer but its not the mean dropping
Step-by-step explanation:
i said the mean dropping and I got it wrong.
Answer:
The mean will change more than the median
Step-by-step explanation:
Do number 1 pleaseeee
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation:
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
the answer is 3.5
Step-by-step explanation:
c² ::: a² + b²
(4)² ::: (2)² + b²
16 ::: 4 + b²
16-4 ::: b²
/12 ::: b2
b ::: 3.5
Find the 7th term of the geometric sequence.
14, 28, 56, ...
Answer:
The 7th term is 896
Step-by-step explanation:
= ar^n-1
a = 14
r = 28/14
= 2
n = 7
= 14 X 2 ^ 7-1
= 14 X 2 ^ 6
= 14 X 64
= 896
If A = 49 degrees, a = 32,
and b = 28, find c.
Round to the nearest tenth.
Answer:
please can you resend the question clearly maybe with a diagram
math sceenshot answer the sceenshot
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
find the value of x to the nearest tenth
Answer:
X, to the nearest tenth would be 27.
Step-by-step explanation:
Sin(theta) = adjacent/hypotenuse
Sin64 = x/30
X = sin64 x 30
X= 26.963…
Please help! I’ll give Brainlyest. Thank you!
Answer:24cm is the perimeter
Answer:
24 cm :)
Step-by-step explanation:
Hexagon perimeter: l x 6
Now lets solve!!
4 x 6 = 24 :)
Have an amazing day!!
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What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
I need help please help me
Can someone please help me? :(
Answer:
561 is the surface area
Step-by-step explanation:
11 x 11 is the base area which equals 121. The height is 10 and the base is 11 for the triangles so it is 11 x 10 which equals 110. We multiply that number by 4 to equal 440. 440 + 121 equals 561 so 561 is the surface area.
Answer:
341Step-by-step explanation:
((10 x 11)/2) x 4
=220
220+11 x 11
220 + 121=
341
Find the third side, round the nearest 10th
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
A student solves the following equation for all possible values of x: startfraction 8 over x 2 endfraction = startfraction 2 over x minus 4 endfraction his solution is as follows: step 1: 8(x – 4) = 2(x 2) step 2: 4(x – 4) = (x 2) step 3: 4x – 16 = x 2 step 4: 3x = 18 step 5: x = 6 he determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best describes the reasonableness of the student’s solution? his solution for x is correct and his explanation of the extraneous solution is reasonable. his solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x. his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x. his solution for x is incorrect. when solved correctly, there are no extraneous solutions.
Answer:
Keep it simple c da answer
Step-by-step explanation:
Answer:c
Step-by-step explanation:
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2
The surface area of the larger pyramid is 159.21 ft²
How to determine the surface area of the larger pyramid?The surface area of the small pyramid is given as:
A = 25.49 ft²
The corresponding sides of the pyramids are:
Small = 6; Large = 15
The surface area of the large pyramid is then calculated using:
Area = A * (Large/Small)²
This gives
Area = 25.49 * (15/6)²
Evaluate
Area = 159.21
Hence, the surface area of the larger pyramid is 159.21 ft²
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Answer:
159.31
Step-by-step explanation:
Right on Edge
Find the area of the figure!!! Pleaseee don’t give a big explain Atom i have exactly 17 minutes to get to 90 on ixl!
Answer:
137 m²
Formula's:
area of rectangle: length + widtharea of triangle: 1/2 * base * heightExplanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer:
137 m²
Step-by-step explanation:
Divide the figure into a triangle and 3 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5
= 1/2 x 6 x 5
= 15 m²
Rectangle 2
⇒ area = 4 x (2 + 7 + 8)
= 4 x 17
= 68 m²
Rectangle 3
⇒ area = 2 x (7 + 8)
= 2 x 15
= 30 m²
Rectangle 4
⇒ area = 3 x 8
= 24 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4
= 15 + 68 + 30 + 24
= 137 m²
Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. The list below shows how many pounds of nuts and raisins he uses
1/3 pound of nuts 1/5 pounds of raisins
how much cereal in pounds, does Carlos use?
Find X.
Hint: T is an inscribed angle that creates arc WS. Arc WS can be found by adding arcs WR and RS together.
See picture for full problem. Please and thank you so much!
Answer:
x=13
Step-by-step explanation:
The attached photo might help
Question 3(Multiple Choice Worth 5 points)
(07.03 MC)
Given g(x)= X-5. on what interval is the function negative?
Would I do 12 time 4.5?? Someone please help
Answer:
96
Step-by-step explanation:
How do I find the length of K?
Answer:
i) 3.7 cm
ii) 3.0 cm
Step-by-step explanation:
When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.
__
i)The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...
Tan = Opposite/Adjacent
tan(63°) = k/(1.9 cm)
k = (1.9 cm)tan(63°) ≈ 3.7 cm
The length k is about 3.7 cm.
__
ii)Again, the tangent function can be used to solve this triangle.
tan(42°) = (2.7 cm)/p
p = (2.7 cm)/tan(42°) ≈ 3.0 cm
The length p is about 3.0 cm.
