The function represents a decay of 88.97% per unit increase in x.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
The exponential function can be written in the form of y = [tex]ab^{x}[/tex], where:
a is the initial value or the value of the function when x = 0
b is the base or the factor by which the function changes for each unit increase in x
Comparing this form to the given function, we can see that:
a = 8600
b = 0.11
To determine whether the function represents growth or decay, we need to consider the value of the base (b). If the base is greater than 1, then the function represents growth, and if the base is between 0 and 1, then the function represents decay.
In this case, the base (0.11) is between 0 and 1, so the function represents decay.
To determine the percentage rate of decrease, we can use the formula:
Percentage change = (new value - old value) / old value * 100%
Since the function represents decay, the old value is the initial value (a = 8600) and the new value is the value of the function when x = 1:
y(1) = 8600(0.11)¹ = 946
Plugging in these values, we get:
Percentage change = (946 - 8600) / 8600 * 100% = -88.97%
Therefore, the function represents a decay of 88.97% per unit increase in x.
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÷what expression could be used to solve 2/5 ÷ 3/4
Answer:
The expression is division.
Step-by-step explanation:
2/5 ÷3/4=0.075
Answer:
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).
[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Which means the expression used to find the answer would be "2/5 × 4/3."
Hope this helps.
Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,
[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]
Hence, the degree of the polynomial will be 5.
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If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24
Answer:
k = -35.5
Step-by-step explanation:
When α and β are zeros of the polynomial 2x² +5x +k, it can be written in factored form as ...
2x² +5x +k = 2(x -α)(x -β)
When the factored form is expanded, it becomes ...
= 2x² -2(α+β)x +2αβ
Comparing this to the original, we see that ...
5 = -2(α+β)k = 2αβ__
Then the given expression can be used to find k:
α +β = -5/2 . . . . . solved the first relation for α+β
(α +β)² = (α² +β² +αβ) +αβ = 24 +αβ
(-5/2)² = 24 +αβ . . . . . . . use -5/2 for α+β
αβ = 25/4 -24 = -17.75 . . . . . solve for αβ
Then the value of k is ...
k = 2αβ = 2(-17.75)
k = -35.5
y + 9 * 3 / 4
3/4 is the fraction
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
find the slope and y-intercept of the line y=7x-9
Answer:
Slope: 7
Y-Intercept : -9
Step-by-step explanation:
Find the value of m if 13m + 24m = 41m
Answer:
m=0
Step-by-step explanation:
Add
13m
and
24m
.37
m=
41m
Move all terms containing m
to the left side of the equation.
Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.
Answer:
In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.
I hope this helps!
Answer:
In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees. Therefore, the other two angles sum to 90 degrees, which means they are complementary. They are also acute angles, since they are each less than 90 degrees.
Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left
Answer:
Seventy-two million, six hundred and seven thousand games remaining
please mark brainliest
Answer:
72607000
Step-by-step explanation:
just subtract 5312 from 72612312
(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.
Answer:
sin A = 8/17.
Step-by-step explanation:
As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.
The side length 15 is the adjacent side to angle A.
First find the length of other side of the right triangle, using the Pythagoras
Theorem:
Opposite side to ange A = √(17^2 - 15^2)
= √64
= 8 units.
sin A = opp side / hyp
= 8/17.
Triangle ABC is situated inside of a green square. The perimeter of the square is 33.6 feet. What is the area of triangle ABC?
Step-by-step explanation:
solution for the triangle ABC
Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?
Answer:
500
Step-by-step explanation:
330+150=480
480-10=470
470+30=500
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -4 y_1= -14
m= 3 (parallel means same slope)
an equation in the point-slope form is : y +14 =3(x+4)
[50 points!]
Find P (Freshman | Boy)
Hint:
P(A and B)/P(B)
Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answer:
1/3
Explanation:
P(Freshman | Boy)
Freshman = 4Boy = 12⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes
P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3Answer:
[tex]\sf \dfrac13[/tex]
Step-by-step explanation:
From the table:
Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]
[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]
[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]
Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)
Answer:
answer: -2x^4 +2x^2-2x
Will give brainliest for right answer! :)
Answer:
155.52mm
Step-by-step explanation:
the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm
Answer:
27.47 square mm
Step-by-step explanation:
Area square = 16x16= 256
Half square= 255/2=128
Area circle pi x 64 = 201.06...
semicircle 201.06.../2 = 100.53
128-100.53 =27.47
Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%
Answer:
D 10%
Step-by-step explanation:
100 points pls help ty
Answer:
Answer
Answer:
Sam is right, 9 is the max number of pull-ups done by a player.
Because it shows that there were 2 players that did 9.
Step-by-step explanation:
A cylinder has a radius of 10 feet and a height of 11.4 feet.
What is the approximate volume of the cylinder?
Answer:
716.57
Step-by-step explanation:
V=πr2h
V = 2×22/7×10×11.4
= 716.571
give me a brainliest
The population of Banana Island is slowly increasing and can be calculated by P(t) = 93.3/3 + 0.23t where Pis the population (measured in millions) and t is time (measured
in years). Approximately how many years will it take for the population of the island to reach 200 million?
A. 6.9
B. 1.6
C. 7.9
D. 4.6
Answer:
6.09 is the ans thanku please mark me brainleaset ans
What is the length of LM?
Let see
KM²=LM×MJ6²=LM×3LM=36/3LM=12Option B
what is 2pi*4^2 + 2pi*4*4
~giving brainliest!~
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]
Answer:
64π
Step-by-step explanation:
2π(4²) + 2π(4)(4) <== exponents first
2π(16) + 2π(16) <== multiply
32π + 32π <== add
64π <== final answer
Note: 4 * 4 can also be written as 4²
Hope this helps!
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
Answer:
I think it would be 9 meters.
Step-by-step explanation:
5x2=10
28-10=18
18(divided by)2=9 meters
Answer:
9 meters long
Step-by-step explanation:
the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct
You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all
Answer:
At this point, you have walked 17/24 miles in all.
Hope this helps
Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?
Answer:
3/16
Step-by-step explanation:
The probability of spining an E is 3/8 and the probability of fliping heads on a coin is 1/2 so the probablility of both those things happening is 1/2*(3/8) or 3/16
8
11 Juan is multiplying 68 x 73 using the area model method
One of the partial products is missing.
What number should juan write in the blank space in the model above?
A 420
B 42,000
C 4,200
D 130
Answer:
C 4,200
Step-by-step explanation:
THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!
Find the value of x.
Sum of two interior angles=Exterior angle
44°+9x+3=14x+79x+47=14x+747=5x+75x=47-75x=40x=5Evaluate x^3-3y when x=-3 and y=4
Answer:
If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:
x = - 3
y = 4
x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39
The correct result would be A -39.
Step-by-step explanation:
pa answer PO Ng question ko plss BRAINLYES Naman dyan
(2x > 10) list some values for x that would make this inequality true
Answer:
6,7,8,9
Step-by-step explanation:
> means Greater than
< means Less than
Thus,
Any number that greater than 10 would make this inequality true..
Some possible values for x can be:
6,7,8,9,11,12,13,14,15,16,17,18 and so on
[RevyBreeze]
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answer: 24.34 is his balance.
Step-by-step explanation:
7. A hippopotamus weighs 1.5 tons. What is its weight in ounces