Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.
Hope this helps! Have a good day! :)
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8600(0.11)^x
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
Cole is buying a pair of sneakers. The expression shown represents the sales tax on the price of the sneakers, p.
0.045p
Write an expression in terms of p to represent the total amount Cole spends on the pair of sneakers, including tax.
By direct addition, we will see that the expression is:
T = 1.045*P.
What expression represents the total price of the sneakers?
We know that the price of the sneakers is P. We also know that the expression which represents the taxes of the sneakers is 0.045*P.
Now, we can assume that the total price of the sneakers will be the price plus the correspondent tax, then we can write:
T = P + 0.045*P = (1 + 0.045)*P = 1.045*P
This is the expression that represents the total amount Cole spends on the pair of sneakers.
If you want to learn more about addition, you can read:
https://brainly.com/question/11562149
need help ASAP will mark BRAINLIEST
Answer:
28 square inches
Step-by-step explanation:
There will be 4 sectors in a circle each having 90° central angle.
-> Area of circle = 4*Area of sector of circle having central angle 90°
= 4*7
= 28 sq inches
Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, or both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, but not both.
I SUCK AT MATH PLS HELP
WORTH 1 POINT
GIVING 10
Answer:
34 degrees
Step-by-step explanation:
Assuming that ADJ is a right angle, we can add 4x and 3x-8 and set equal to 90 degrees to simply to get get x.
7x-8=90
Add 8
7x = 98
x= 14
Now that we know x, we can plug in the value to find angle CDJ.
3x-8
3(14)-8
34 degrees
what value of x makes the equation 3^(x-5)=27^(x+4) true?
Answer:
The attached file contains the solution to the question
HELP QUICK PLEASE!!!
Answer:
19
please make this answer brainliest If I helped you!
Answer:
c=19
Step-by-step explanation:
110-91=19
129-110=19
148-129=19
4x19 = 76 (91-76=15)
76+15 =91
5x19= 95 ( 110-95=15)
95+15= 110
6x19 = 114 (129-114 =15)
114+15=129
7x19=133 ( 148-133 =15)
133+15 = 148
(r - 4) + (y - 3) = 25
Answer:
[tex]beinggreat78~here~to~help~you.[/tex]
[tex]r = 16[/tex]
[tex]y = 16[/tex]
This is because if you subtract 16 by 4, and 16 minus 3, you get 13 and 12 as the quotients. Now, you want to add these 2 numbers together, which gives you 25.
Solve for x: 3 (square root2-2x)+1=13
Answer:
x=7
Step-by-step explanation:
3√(2-2x) + 1 = 13
subtract 1 from both sides
3√(2-2x) = 12
Divide 3 from both sides
√2-2x= 4
square both sides
2-2x = 16
subtract 2 from both sides
2x= 14
x=7
Complete part (a) and part (b) given the following system of equations x-y=0 2x + 3y = -5 Solve this system graphically.
Answer:
(-1, -1)
Step-by-step explanation:
x - y = 0 ------> x = y
2x + 3y = -5
2(y) + 3y = -5
5y = -5
y = -1
x - (-1) = 0
x = -1
The solution to this system is (-1, -1). To solve graphically, plot both functions and you will see that they intersect at (-1, -1).
I hope this helps!
IM STUCK CAN SOMEONE HELP
An international company has 22,300 employees in one country. If this represents 18.3% of the company’s employees, how many employees does it have in total?
Round to nearest whole number
3 – 9x = –6 – 8x
What is X
the answer for this question is x = 9
x=9 ig
but how did I get -3?
13) You pick a card and pick a marble. How many possible outcomes are there?
3
4 | 5
67
A) 5
OB) 2.
OC) 10
OD 6
Answer:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
Step-by-step explanation:
5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12
find the value of X in the figure below and on the Centre of carde O
Answer:
x=55°
Step-by-step explanation:
180_70( radii,sum of ^'s of a ∆)
=110
110%2(^at centre=2×^at the circum)
x=55°
Find the distance between the two points.
(-3,2)
(0,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
√13
Step-by-step explanation:
Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2
---> √13
Find the area of the triangle.
16 ft
62 ft
Not drawn to scale.
A. 496 ft2
B. 248 ft?
C. 78 ft2
D. 37 ft2
Answer:
A. 496 ft2
Step-by-step explanation:
area of a triangle is
1/2 times base times height
1/2 times 16 times 62 =
496
What square should complete the following series of squares?
1
2
3
4
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column).
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on.
According to the given question.
We have three squares made up of small cubes.
In the three squares, only three cubes of each square are colored by following some pattern.
In the given series of square we can see that, the yellow colored cube moving straight forward. And the green and red cubes are moving diagonally.
Therefore, by following this pattern the cubes of fourth square of the series will take position:
Red cube will take 1,1 position (first row, first column).
Yellow cube will take 3, 4 position (third row, fourth column).
Green cube will take 4, 1 position (fourth row, first column)
Thus, the third option is correct.
Find out more information about pattern here:
https://brainly.com/question/11606579
#SPJ2
a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:
Step-by-step explanation:
pizza = circle
the area of a circle is
pi×r²
r = radius (half of diameter), in our case 15/2 = 7.5 in.
the total area of the whole pizza (circle) is
pi×7.5² = 56.25×pi = 176.7145868... in²
it is cut into 12 slices. Carson eats 5 of these 12 slices.
that means he eats 5/12 of the whole area :
176.7145868... × 5/12 = 73.63107782... in²
Write (b^3)^2 without exponents
Answer:
(b)(b)(b)(b)(b)(b)
Step-by-step explanation:
[tex](b^3)^2=b^6[/tex]
(b)(b)(b)(b)(b)(b)
Answer:
Step-by-step explanation:
(b^3)^2
= b^(3*2)
= b^6
= b*b*b*b*b*b.
Find the value of x.
52°
128°
38°
xº
x = [21°
Step-by-step explanation:
x = 360 - 128 + 52 + 38
x = 360 - 218
x = 142
Three boxes are stacked one on top of the other. One box is 6 feet 6 inches tall, one is 4 feet 11 inches tall, and one is 5 feet 8 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.
Given :-
Box 1 = 6 ft. 6 inches Box 2 = 4 ft. 11 inchesBox 3 = 5 ft. 8 inchesTo Find :-
The height of the stackSolution :-
Height of the stack,
=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches
=> 15 ft. 15 inches
And we know that 12 inches = 1 ft.
Thus, 15 inches = 1 ft. 3 inches
Thus,
=> 15ft. + 1 ft. 3 inches
=> 16 ft. 3 inches
Thus, the height of the stack is 16 ft. 3 inches.
Answer:
17 feet and 1 inch
Step-by-step explanation:
6 feet and 6 inches + 4 feet and 11 inches equals 10 feet and 17 inches.
10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.
When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.
So, the answer is 17 feet and 1 inch.
1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12
Answer:
Infinite
Step-by-step explanation:
Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100
I am a polygon that has two pairs of opposite sides that are parallel what am I
A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!
y = x^2 + 8x + 10
Vertex:
Axis of Symmetry:
Y-intercept:
The vertex of the function is (-4, -6), the axis of symmetry is x= -4 and the y-intercept is (0, 10).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=x²+8x+10.
Rewrite in vertex form and use this form to find the vertex (h, k).
(-4, -6)
The axis of symmetry is x= -4
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-4+√6, 0), (-4-√6, 0)
y-intercept(s): (0, 10)
Therefore, the y-intercept is (0, 10).
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ7
HELP I GOT 2 mins please
Answer:
x=27 degrees
EAF= 27
Step-by-step explanation:
sorry if this isnt right i tried my best
PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10
You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.
Therefore, the answer is 1/6
$600 invested at 6% compounded annually for six years
Answer:
The final balance is $851.11.
The total compound interest is $251.11.
Step-by-step explanation:
At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing north at 15 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.? (Round your answer to three decimal places.)
Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
What is the distance?Distance is the product of speed and time. It is given by the function,
[tex]\rm Distance = Time \times speed[/tex]
Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,
[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]
The distance covered by Ship B in 4 hours will be,
[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]
At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,
[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]
The rate of change in the distance between the two ships can be written as,
[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]
Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.
Learn more about Distance:
https://brainly.com/question/15100898
#SPJ1
20 POINTS PLS
How to tell if your data has a wide range or a small range?