The given function represents exponential decay.
In mathematics, exponential decay refers to the process of decreasing an amount at a constant percentage rate over time.If a quantity diminishes at a rate proportionate to its present value, it is susceptible to exponential decay.The given function is f(x) = (0.68)^xFor the numbers between 0 and 1, with an increase in the power of the number, the final value decreases.In the given function, 0.68 is greater than 0 but less than 1.As we increase the value of its power, i.e., "x", the value of the function decreases.A graph of the function has been attached below for better visualisation.To learn more about functions, visit :
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1) Let A = {x,y,z}. Give a function f : A → A which is neither constant nor the identity function 1A. (2) Give a function g : R → {−1,0,1} which is not constant. (3) Give a function h : Q → Z whose image is Z.
Step-by-step explanation:
and go outside take fresh air you breathe you get answers constrate answer
What’s the distance between (-5,4) and (-1,4)
-5 units
-4 units
4 units
5 units
Answer:
4 units
Step-by-step explanation:
The distance is always positives so choices 1 and 2 are out.
To find the distance of the points (-5, 4) and (-1, 4), subtact |-1| from |-5|.
|-5| - (|-1|)
5 - (1)
5 - 1 = 4
Answer:
4 Units = C
Step-by-step explanation:
32 + 36 : 4 - 12
Show your work !!!plz
Answer:
we have to first do squaring, so our first math would be 3^2, which is 9
second thing second, we need to do 36 divided by 4, which is also 9,
and 9+9-1 is 17.
Step-by-step explanation:
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
The coordinates of the vertices for the image triangle after a translation 3 units up are A'(-3, 6), B'(0, 10), and C'(-3, 3). (option b)
Let's first visualize the given triangle ABC with vertices at A(-3, 3), B(0, 7), and C(-3, 0). We can plot these points on a coordinate plane and connect them to form the triangle. Now, let's consider the translation that moves the triangle 3 units up. This means that we need to add 3 to the y-coordinate of each vertex to get the coordinates of the image.
So, the coordinates of the vertices of the image triangle, let's call it A'B'C', will be:
A' = (-3, 3+3) = (-3, 6)
B' = (0, 7+3) = (0, 10)
C' = (-3, 0+3) = (-3, 3)
Now, we can plot these points and connect them to form the image triangle A'B'C'. We can see that the image triangle is simply the original triangle translated 3 units up.
Hence the correct option is (b).
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Answer:
Option B
Step-by-step explanation:
type 1.0e-4 as a floating-point literal but not using scientific notation, with a single digit before and four digits after the decimal point.
0.0001 is type 1.0e-4 as a floating-point literal but not using scientific notation, with a single digit before and four digits after the decimal point.
A floating-point literal is a representation of a real number value in computer programs. The value 1.0e-4 is expressed in scientific notation and stands for 0.0001, which is a real number with one digit before the decimal point and four digits after it. The scientific notation expression 1.0e-4 represents a number that is 1.0 multiplied by 10 raised to the power of -4, which is equal to 0.0001. The four digits after the decimal point represent the precision of the number, and in this case, the precision is four decimal places. In programming languages that support floating-point literals, the value 0.0001 can be written as a floating-point literal without using scientific notation, just as it is written in this answer. It's important to note that floating-point numbers are not always stored in the computer's memory with the same precision as their literal representation. Floating-point numbers are stored as binary fractions, which have a limited number of bits to represent the fractional part. This means that some floating-point numbers cannot be represented exactly and will result in rounding errors. Therefore, it's important to choose an appropriate precision when using floating-point numbers in your code, especially when dealing with critical computations or financial applications where accuracy is important. In summary, a floating-point literal like 0.0001 represents a real number with a fixed precision, but its internal representation in the computer's memory may differ from its literal representation due to the limitations of binary fractions.
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Please help
what is the measure in degrees of the highlighted ( the middle one) angle
Answer:
8x+7x+44.4=180
15x=180-44.4
15x =135.6
X=9.04
8x=9.04×8=72.32
PLEASE HELP!!!!!!!!!!!!!!
What is the volume of this figure?
Enter your answer in the box.
yd³
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Determine the values of x in the equation x2 = 64.
I Need help with this
The equation that gives the length of segment CB is given by the equation presented as follows:
C. \(\sqrt{(a - c)^2 + (0 - d)^2}\)
How to obtain the length of a segment?The length of a segment is given by the distance between the two endpoints of the segment.
Suppose that we have two points with coordinates \((x_1,y_1)\) and \((x_2,y_2)\), the distance between these points is given by the equation presented as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The endpoints of segment CB are given as follows:
C(c, d) and B(a,0).
Hence the equation for the distance between these two points, giving the length of the segment, is given as follows:
\(\sqrt{(a - c)^2 + (0 - d)^2}\)
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A. Range
B. Mode
C.mean
D.median
Please help me for a test i will give you a lot of Brainly points
Answer:
Step-by-step explanation:
A range
Which shape have both parallel and perpendicular sides?
Answer:
a square
Step-by-step explanation:
all the sides are either perpendicular or parallel
Round 0.25773438 to the nearest hundredth
Answer:
The answer is 0.26.
I wish you luck on your assignments.
Answer: 0.26
Step-by-step explanation:
1. The hundredths place is two digits from the decimal point
2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same
3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6
4. Our final answer is 0.26
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
what is the equation of a circle with center (-4,7) and radius 8?
The equation of the circle would be (x−(−4))2+(y)2=6or (x+4)2+(y−72=36.
Explanation:The equations of the circle is(−h)2+y−k)2=r2
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius(-4,7) radus is 6h = -4k = 7r = 6plug in the values(x−(−4))2+(y−7)2=62simplify(x+4)2+(y−7)2=36.
Does anyone know how to do number 18????
Answer: angle ITU = 145 degrees
===============================================
Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
----------
As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU
Help me please! Show work. Thanks!!!!!!
Answer:
∠B= 102°, ∠Y= 32°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
∠A +∠B +∠C= 180° (∠ sum of triangle)
50° +∠B +28°= 180°
∠B +78°= 180°
∠B= 180° -78°
∠B= 102°
∠X= 180° -100° (adj. ∠s on a str. line)
∠X= 80°
∠X +∠Z +∠Y= 180° (∠ sum of traingle)
80° +68° +∠Y= 180°
∠Y +148°= 180°
∠Y= 180° -148°
∠Y= 32°
Alternatively,
∠Z +∠Y= ∠W (ext. ∠ of triangle)
68° +∠Y= 100°
∠Y= 100° -68°
∠Y= 32°
choose the general algebraic representation (notation) for transforming pentagon vwxyz into pentagon qrstu.
The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).
This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.
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Sam's mother is twice as old as sam, In 12 years, Sam will be as old as his mother was 12 years ago. How old are is sam and his mother now?
Answer:
Sam is 24 years old and his mom is 48 years old
Step-by-step explanation:
;)
The present age of Sam is 24 years and the present age of Sam's mother is 48 years
Let the present age of Sam's mother = M
Let the present age of Sam = S
Sam's mother is twice as old as Sam so we can write
\(\rm M = 2S.........(1)\\\)
12 years ago the age of Sam's mother = M - 12
After 12 years the age of Sam = S + 12
According to the given condition
\(\rm S + 12 = M-12 ......(2)\)
From equations (1) and (2) solving for M and S we get
\(\rm S + 12 = 2S -12\\S = 24\\M = 2\times S = 2\times 24 = 48\)
So we can conclude that the present age of Sam is 24 years and the present age of Sam's mother is 48 years.
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PLEASE PLEASE PLEASE HELP!
19
what is this qouschin
Answer:
Below in bold.
Step-by-step explanation:
m < 3 = 59 degrees (alternate angles)
m < 2 = 180 - 59 = 121 degrees ( adjacent angles)
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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DUE VERY SOON PLEASE HELPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
i think it is 12 for $9.99
I need help 6+2 plz answer for brain
Answer:
8
Step-by-step explanation:
i have 6 apples + 2 peers
Answer:
6 plus 2 equals 8
Step-by-step explanation:
If you have 6 apples and your mom gives you 2 more apples then you will have 8 apples.
6,7,8
alicia bought 205 pink and purple beads. she lost 3/5 of the pink beads and was given another 15 purple beads.
Answer: sorry
Step-by-step explanation:
767u6777
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.
Answer:
I might be wrong but I think the answer Is 234!
I hope you do Great!!
Step-by-step explanation:
Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?
D
5m
B
5 m
C
OA. It cannot be determined, because a parallelogram with congruent
adjacent sides may or may not be a rhombus.
B. No, because all four sides are congruent.
C. Yes, because adjacent sides are congruent.
D. No, because adjacent sides are congruent.
The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.
How to determine the true statement about the parallelogramGiven that
Figure ABCD is a parallelogram
Such that
Side lengths = 5 cm
This means that
The figure is a square
As a general rule
All squares can be classified as rhombus
This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length
Hence, the true statement is (c)
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