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.
To learn more about percentage from the given link:
https://brainly.com/question/29306119
#SPJ1
Use the distributive property to express 30 + 42
Answer:
it would be 6 (5 + 7) = 30 + 42 = 72
Step-by-step explanation:
hope this helps if not please let me know
Nick is painting his bedroom. Each of the four walls measures 10 feet by 14 feet. He will not paint the ceiling. What is the total area that Nick will paint?
Answer:
560 ft^2
Step-by-step explanation:
You need to find the surface area of the walls
wall 1 10*4 = 140
wall 2 10*4 = 140
wall 3 10*4 = 140
wall 4 10*4 = 140
140 +140 +140 +140= 560
The growth of plants in one week are recorded for 6 plants with a sample standard deviation of 4inches and sample mean of 11 inches.
t* at the 0.05 significance level=__
Margin of error = ___
Confidence interval = _____
Answer:
from my side it's blurry
Margin of error = 0.8226401
Confidence interval = (9.17736,10.82264)
We have given data for one week recorded for 6 plants.
With a sample standard deviation of 1 inch and a sample mean of 10 inches.
For this sample, it is given that,
Sample size = n = 6
Sample SD = s = 1
Sample mean = x = 10
At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,
t* =2.015048
Margin of error = E=2.015048*s/ √n = 0.8226401
Confidence interval
= (9.17736,10.82264)
Learn more about Margin of error here: https://brainly.com/question/10218601
#SPJ4
x ^ 3 + 3x ^ 2 = 36x + 108
pls help
Answer:
x can equal several things that would fit
-3
-6
or
6
Step-by-step explanation:
please I need to know this answer identify and calculate the perimeter for the quadrilateral
Step-by-step explanation:
but that is really, really simple.
is the problem that you don't know what a perimeter is ?
a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.
that means you would have to go along every side until you reach the starting point again.
therefore, the perimeter is simply the sum of all side lengths.
P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds
the height does not play any role in this (but it would be important to calculate the area).
I don't understand these huge numbers you have there in the " P =" line.
where are they coming from ? in any case they have nothing to do with this quadrilateral.
Help asap for brainliest
Answer:
282 ft
Step-by-step explanation:
Area of 2 triangles = 6+6
= 12 ft
Area of 3 rectangles = 90+90+90
= 270 ft
therefore
the surface area = 12 + 270
= 282 ft
I think that I am right
An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each corner and folding up the flaps to form the sides. What are the dimensions of the box of greatest volume that can be constructed in this way
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
How to solve the dimension?
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
https://brainly.com/question/26740257
Pamela made a profit of $3250 after selling stocks for $10500 after 4 years. What was her average annual percentage gain?
Pamela's average annual percentage gain was = 7.7%
Calculation of annual percentage gainThe start up capital (P) = $10500
The simple interest (SI) = $3250
Time (T) = 4 years
Rate = ?
But SI = P × T × R /100
Make R the subject of formula,
R = SI × 100/P × T
R = 3250 × 100/ 10500 × 4
R = 325000/ 42000
R = 7.7%
Therefore, Pamela's average annual percentage gain was = 7.7%
Learn more about simple interest here:
https://brainly.com/question/25793394
1.) If the function f(x) = (x – 3)^2+ 2, the minimum value occurs when x is
1)-2
2)2
3)-3-
4) 3
Answer:
2
Step-by-step explanation:
Find the quotient: 5/8 divided by 3.
Answer:
5/24
Step-by-step explanation:
Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.
5/8 · 1/3
Hope that helps!
Use the equation below to find c, if a=43 and b= 53.
C= = 180-a-5
Answer:
180-a-5
180-43-5
180-48
180-48=132
c=132
If the wages of workers for a given company are normally distributed with a mean of $15 per hour, then the proportion of the workers earning more than $13 per hour:
The proportion of the workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour.
What is a normal distribution?A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
To learn more about a normal distribution, please check: https://brainly.com/question/25846196
Carter Is organized text book on his bookshelf. He had an English textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbook up on his bookshelf
Carter can line the books up on his bookshelf in 24 different ways.
Linda counted different colored leaves on a tree. She counted 8 red leaves. She also counted 3 times as many yellow leaves as red leaves. How many yellow leaves did Linda count?
to find the number of yellow leaves you'll have to multiply number of red leaves she counted by 3.
8×3
=24
Linda counted 24 yellow leaves.
Linda counts 24 yellow leaves in total
How to determine the number of yellow leaves?The number of red leaves is given as:
Red = 8
The statement 3 times as many yellow leaves as red leaves means that:
Yellow = Red * 3
So, we have:
Yellow = 8 * 3
Evaluate the product
Yellow = 24
Hence, Linda counts 24 yellow leaves in total
Read more about products at:
https://brainly.com/question/10873737
please help :) brainliest for helpful answers!
tree is casting a 35 ft shadow when the sun is at a 56° angle of elevation. How tall is the tree?
Dante is saving money to buy a game. So far he has saved $24, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
The game costs 36$ dollars.
Step-by-step explanation:
2/3 of 36 is 24 :p
The total cost of the game Dante wants to buy is 26 dollars.
What is a fraction?A fraction describes some parts of a certain quantity. Fractions are of two types one is a proper fraction and another is an improper fraction. In a proper fraction, the numerator is smaller than the denominator and n improper fraction numerator is greater than the denominator.
Assuming The total cost of the game is x dollars.
Given that 24 dollars is (2/3)rd of the total cost of the game.
So we can write 24 is (2/3)rd of the total cost of the game.
∴ 24 = (2/3)×x.
24 = (2/3)x.
x = 24×(3/2).
x = 12×3.
x = 36 dollars.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
30.74
142.06
24.72
35.08
Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.
If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.
Learn more about solubility curve: https://brainly.com/question/9537462
Easy math 2 pictures
Answer:
See below
Step-by-step explanation:
x = hours
Payless charges = 50 + 60x
Squad charges = 80 + 50x when are they equal ?
50 + 60x = 80 + 50x
x = 3 hours
Surface area = 2 * ( 10 *5 + 5*3 + 3*10) = 190 ft^2
The circumference of a circle is 17π in. What is the area, in square inches? Express your answer in terms of π?
Answer:
22.97
Step-by-step explanation:
17 divided by pi is 5.41
5.41 divided by 2 is 2.075
r^2(pi)
is 2.075 x 2.075 x 3.41 is 22.97
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x
Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 4/3 x
So : product for two slopes = -1 means : m×4/3=-1
m = -3/4
now : y = -3/4 x+b
but this line :
through the point (4,2) : 2 =(-3/4)(4)+b....... b=5
conclusion :
the equation is : y = -3/4x +5
A rectangular picture with perimeter 27 cm is glued in the center of a rectangular piece of cardboard. There is a 1 cm margin ( of empty cardboard) all around the picture. What is the perimeter of the piece of cardboard.
Answer:
35 cm
Step-by-step explanation:
Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).
The perimeter formula tells you the perimeter is ...
P = 2(L +W)
__
The cardboard perimeter will be ...
P' = 2((L +2) +(W +2)) = 2(L +W +4)
P' = 2(L +W) +8
P' = P +8
If the original perimeter is 27 cm, the cardboard perimeter is ...
P' = 27 +8 = 35 . . . . cm
The perimeter of the cardboard is 35 cm.
After begging his parents for 3 years, Ed is finally going to clown college! On the first day, his juggling instructor divides a box of bean bags equally among the 17 clowns in Ed's class. Each clown gets 4 bean bags. Which equation can you use to find the number of bean bags b in the instructor's box? Solve this equation for b to find the number of bean bags in the instructor's box. bean bags Questions
The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.
The number of bean bags in the instructor's box is 68.
What is multiplication?
Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.
To learn more about multiplication, please check: https://brainly.com/question/13814687
Help picture below problem 13
Answer:
B. Obtuse
Step-by-step explanation:
An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.
Need help PLEASE lol anyway thank u
Answer:
true option is B
Step-by-step explanation:
true option is B
3 Evaluate( 2+i) squarerooted power 8
Answer:
[tex](i+2)^4[/tex]
Step-by-step explanation:
assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]
[tex](2 + i) {}^{4} [/tex]
Split this up
[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]
Use the Perfect Square Trinomial
[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]
[tex] {i}^{2} = - 1[/tex]
so
[tex](3 + 4i)(3 + 4i)[/tex]
[tex]9 + 24i - 16[/tex]
[tex] - 7 + 24i[/tex]
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1. p(x) = 5x2 + 30x
2. p(x) = 5(x2 + 6x)
3. (six-halves) squared = 9;
4. p(x) = 5(x2 + 6x + 9) – 5(9)
5. p(x) = 5(x + 3)2 – 45
What is the vertex of this function? Is it a maximum or a minimum?
What is the axis of symmetry of this function?
Answer:
Step-by-step explanation:
hello :
p(x) = 5(x + 3)2 – 45
the vertex is the point : A(-3 ; -45)
minimum -45
the axis of symmetry is the line when an equation is : x = -3
Which expression does this power represent?
10^8
10 × 8
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8
8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8
Answer:
10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Step-by-step explanation:
Because it is to the 8th power, this means it's multiplied by itself 8 times.
Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Step-by-step explanation:
When using the order of operations to simplify (7 + 3) * 4 - 1 + (6 + 8), which operation should be performed first?
Answer:
addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.
I hope you find this helpful :D
Answer:
(7+3)
After that you do (6+8)
Explanation:
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
After a successful fishing trip, Leo weighed his catch. He determined he caught a total 6.5 kilograms of fish. The recipe Leo wants to use to make fish stew lists their measurements in grams. Help Leo convert the weight of his fish from kilograms to grams.
Answer:
6 1/2 Grams
Step-by-step explanation:
Hope this helped!!
The weight of Leo's fish from kilograms to grams is 6500 grams
What is kilograms?Kilograms is the "SI unit of mass (equivalent to approximately 2.205 lb), first introduced as a unit of mass for the metric system".
According to the question,
Leo catch a total 6.5 kilograms of fish. He wants to convert kilograms into grams.
Formula to convert kilograms into grams 1 kilograms = 1000 grams
In order to find kilograms into grams only if multiply given kilogram into 1000.
6.5 × 1000 = 6500 grams
Hence, the weight of Leo's fish from kilograms into grams is 6500 grams.
Learn to more about Kilograms here
https://brainly.com/question/19013677
#SPJ2
A central angle has its vertex on the ___________ and is _________ its intercepted arc.
Answer:
first blank:center
second blank: equal to
Step-by-step explanation:
A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image
