The provided function, f(x)=(.8)^x, has a 20% rate of decay.
What is the Rate of decay or growth?
A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
given, a function f(x)=(.8)^x. To calculate the decay rate of this function.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.
Where
a = the initial amount
1-r is the decay factor
x = time span
from the given expression,
Decay factor = 0.8
That is also equal to 1 - r
1 - r = 0.8
r =0.2
Thus, rate of decay = r * 100%
rate of decay = 0.2 * 100 = 20%
therefore, The rate of the of the given function f(x)=(.8)^x is 20%.
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How many solutions will the following system have? 4x+y=13 1/2}y=-2x+5
Step-by-step explanation:
I have to assume the equations are
4x + y = 13
(1/2)y = -2x + 5
let's bring both of them into a "y = ..." form :
y = -4x + 13
y = -4x + 10
now we see that both equations are lines with the same slope but different y-intersect.
so, they are parallel but not identical.
therefore, there are 0 solutions. the lines will never intersect and have no point in common.
A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its registered users selected at random. For what type of bias are the survey results at risk
10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.
What type of bias are the survey results at risk for?A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.
Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.
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Why can't the sine of an angle be greater than 1?
Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
What is an angle?An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Define sides and vertices.Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.
The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.
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HELP ASAP PLEASE
i dont underatand this
Answer:
IST x-2= 2
Step-by-step explanation:
Answer: -2x-3 = x
Step-by-step explanation:
You have 2 -x's and 3 -1's in the first balance thing. In the second, you have 1 x.
If you put those together into an equation, you get -2x-3 = x (since in this balance, the two sides are equal).
Then you solve the equation to find x:
-2x-3 = x
-3 = 3x
x = -1
the composite bar chart shows the number of messages jon received each day for five day
Tim received 8 SMS on Monday, 4 emails on Thursday, and 0.52 of the communications were emails, which is the solution to (a), (b), and (c).
what is composite bar chart ?When two sets of data are joined and their frequencies are combined, a composite bar chart is utilized. Two pieces of data—emails and texts—are included in this inquiry, but they both fall under the same heading, "messages." With regard to question (a), it is clear from the diagram that Tim got 8 texts on Monday. In order to answer question (b), we must determine how many emails Tim received on Thursday. To do this, we must look at the bar for Thursday and divide the total number of texts by the total number of messages to determine the number of emails received. 15-11=4, indicating that Tim received 4 emails on Thursday.
given
Tim for five days, total the emails received, and then determine the percentage of emails relative to messages.
Total messages: 14+16+14+15+14=73.
Emails totaled: 6 + 10 + 10 + 4 + 8 = 38
Email to message ratio is equal to 0.52.
Emails made up 0.52 of the messages, therefore.
Tim got 8 texts on Monday, 4 emails on Thursday, and 0.52 of the messages were emails, according to an analysis of the composite bar chart we used to determine the answers to the three questions.
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The complete question is :- The composite bar chart Messages received shows the number of messages Tim received each day for five days.
a) How many texts did Tim receive on Monday?
b) How many emails did Tim receive on Thursday?
c) In total, what fraction of the messages were emails?
Give your answer in its simplest form.
A plumber charges $80 for a house call and $20 per hour for labor. If the plumber worked from 2:30 pm to 8:00 pm, how much does he earn?
Answer:
The plumber would earn $190 in 5 hrs and 30 mins
Step-by-step explanation:
- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]
- We know the plumber charges the client $80 for the call and $20/hr for the work
1. I multiplied $20 x 5.5= $110+80=$190
or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]
Have a great day, hope this helped <3
A line passes through the points (–6,5) and (8,–2). What is its equation in point-slope form?
Answer:
y - (-2 ) = 1\2 ( x- 8)
Step-by-step explanation:
The point slope form equation is y-y₁=m(x-x₁)
( -6 , 5 ) ( 8 , -2 )
( x , y ) (x1 , y1 )
Firstly we need to find the slope
y1 - y -2 - 5
we can find the slope by this equation : ------------- = --------------
x1 - x 8 - (-6)
The slope is 1\2
2(2x + 3) - 5
Please and thanks
Answer:
=4x+1
Step-by-step explanation:
Let's simplify step-by-step.
2(2x+3)−5
Distribute:
=(2)(2x)+(2)(3)+−5
=4x+6+−5
Combine Like Terms:
=4x+6+−5
=(4x)+(6+−5)
For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25
B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes
Please help!!!
Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.
The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.
For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.
The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.
Step-by-step explanation:
Find the area of the rhombus. AB=7 ft. Round to the nearest tenth.
Answer:
7 x 7 = 49
49 divided by 2 ( x 1/2) = 24.5
Formula:
D1 x D2 x 1/2
In this case D1 and D2 are both 7
and 1/2 is just 1/2 so multiply them.
Work out the length of x.
Give your answer rounded to 1 decimal place.
x
9 m
14.5 m
The diagram is not drawn accurately.
Please help
Answer:
x ≈ 17.1 m
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 9² + 14.5² = 81 + 210.25 = 291.25 ( take the square root of both sides )
x = [tex]\sqrt{291.25}[/tex] ≈ 17.1 m ( to 1 dec. place )
Please help! I cant afford to fail.. PLEASE NO LINKS
Answer: The answer that I got was J.
Simplify and select the answer with the appropriate restrictions for the variables.
5x2−4x3x3
Answer:-4x/6 + 5x/2
Step-by-step explanation:
just combined it
what is the solution to the equation 13.7y= 6.2y+ 30?
Answer:
y = 4
Step-by-step explanation:
7.5y = 30
y = 4
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
[tex]13.7y=6.2y+30[/tex]
[tex]13.7y−6.2y=30[/tex]
[tex]7.5y=30[/tex]
[tex]y = \frac{30}{7.5} [/tex]
[tex]y = 4[/tex]
Hope it is helpful....You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use
On solving the provided question, we can say that by linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
the linear equation that is formed is
10p +7 (10 - p) = 80
10p + 70 - 7p = 80
3p = 70
p = 10/3
10/3 pounds of peanuts and how many pounds of raisins should you use
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(x - 16)2 + (y - 6)2 = 1 Translated 4 left, 2 up
Answer:
x= -4
y=2
put the values
( -4-16)2+(2-6)2=1
(-20)2+(-4)2=1
-40-8=1
-48 is not equal to 1.
find the perimeter of the figure
Answer:
30 cm
Step-by-step explanation:
For perimeter you just need to add all the outer sides.
6+6.5+4+4+9.5
Evaluate that and you get 30.
That's your answer.
(Remember perimeter is the value AROUND the figure.)
What is quadrant 1 2 3 and 4?
The explanation of four quadrant are explained below.
In the coordinate plane the first coordinate or the x-coordinate will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.
And the second coordinate known as the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.
By using these x and y values, we have divide the graph, into four part such as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
Here we want to know that each quadrant contains certain directions.
=> Quadrant 1 placed on 0 to 90 degrees.
=> Quadrant 2 placed on 90 to 180 degrees.
=> Quadrant 3 placed on 180 to 270 degrees.
=> Quadrant 4 placed on 270 to 360 degrees.
And the value in the quadrant are like as follows:
Quadrant I had both x and y-coordinate are positive.Quadrant II had x-coordinate is negative and y-coordinate is positive.Quadrant III had both x and y-coordinate are negative.Quadrant IV had x-coordinate is positive and y-coordinate is negative.To know more about Quadrant here.
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Find the values of x and y.
-2x+y=-35
L
to
||
2x°
(y + 10)°
yᵒ
Answer:
x = 60 , y = 85
Step-by-step explanation:
assuming the figure is a trapezoid
• each lower base angle is supplementary to the upper base angle on the same side.
x + 2x = 180
3x = 180 ( divide both sides by 3 )
x = 60
and
y + y + 10 = 180
2y + 10 = 180 ( subtract 10 from both sides )
2y = 170 ( divide both sides by 2 )
y = 85
Serenity worked as a waitress. She earned $12. 50 per hour and made $175 tips on
Saturday. How many hours did Serenity work if she made a total of $262. 50?
7 hours Serenity worked if she made a total of $262. 50.
How do you calculate total hours in a number?
To find the total hours, subtract the time the employee clocked in from when they clocked out.
We can start by using the following equation to find the total number of hours Serenity worked:
Total Earnings = (Hourly Wage) * (Number of Hours) + (Tips)
In this case, we know that Serenity's total earnings were $262.50, she earned $12.50 per hour and made $175 in tips on Saturday. So we can substitute these values into the equation:
$262.50 = ($12.50) * (Number of Hours) + $175
To find the number of hours, we can subtract the tips from the total earnings and divide by the hourly wage:
Number of Hours = ($262.50 - $175) / $12.50
= $87.50 / $12.50
= 7
So Serenity worked 7 hours on Saturday.
Hence, 7 hours Serenity worked if she made a total of $262. 50.
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Hey I really need help on this question please
Isaac's father is 49 years old. He is four years older than three times Isaac's age. How old is Isaac
If Isaac's father is four years older than three times of Isaac's age and the age of father is 49 years old. So, Isaac age will be 15 years old.
How old is Isaac?According to online myth, there is a mathematical equation that regulates the lower bound for a possible dating partner's socially acceptable age: half your age plus 7, or, in mathematical words, if x is your age, the bottom barrier is [tex]f(x) = x/2 + 7[/tex].
Consider Isaac is L
Let us suppose L is x years old.
3 times the age of L = 3x
3 times L’s age plus 4 years = 3x + 4
Furthermore, L’s father’s age is 49 years older than L’s age.
Therefore,
[tex](3x + 4) = (49) (49)\\(3x + 4) -4 = (49) – 4\\3x = 45\\3x/3 = 45/3\\X = 15[/tex]
L’s age is 15 years since we expected L’s age = x (and x=15).
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Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.
Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.
Answer: I'm sorry bro i don't know
Step-by-step explanation:
what is the answer to −9−(−4)=
will give brainliest and all 5 star and thanks
Answer:
The area of the shape shown is [tex]12.5units^2[/tex]
Step-by-step explanation:
So the formula for solving the area of trapezoids is:
(top base + bottom base) x height ÷ 2
In this case, the equation is:
(7.5 + 2.5) x 2.5 ÷ 2
Let's solve it!
(7.5 + 2.5) x 2.5 ÷ 2 =
10 x 2.5 ÷ 2 =
25 ÷ 2 =
12.5
Which will get 12.5 as an answer.
Since the unit isn't listed, we will just write [tex]unit^2[/tex] instead of [tex]cm^2[/tex] or [tex]in^2[/tex]
Answer:
12.5
Step-by-step explanation:
I split the shape into two shapes: one square, and two identical right triangles
The area of the square is a^2 so 2.5^2 so 6.25
The area of the right triangle A=ab/2 we know one side 2.5 and the other side is just 7.5-2.5 and then halved so also 2.5.
The area of this triangle is 3.125*2 because there are 2 then +6.25
=12.5
Edit: Just realized there was a much simpler way to do this lol I just normally can't do math the regular way. You can just do the area of the trapezoid
What is the value of x
Answer:
12
Step-by-step explanation:
Tell algebra to stop looking for his x an just watch her 24/7
Answer:
value of x is 12
hope it helps.
What is the surface area? in Square Inches
Answer:
24
Step-by-step explanation:
7. Mai and Tyler are selling items to earn money for their elementary school. The school
earns w dollars for every wreath sold and p dollars for every potted plant sold. Mai
sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10
wreaths and 7 potted plants and the school earns $62.50.
This situation is represented by this system of equations:
[ 14w + 3p = 70.50
10w+7p = 62.50
Explain why it makes sense in this situation that the solution of this system is also a
solution to 4w + (-4p) = 8.00.
On solving the provided question we can say that - her in the equation 14w + 3p = 70.50 and 10w+7p = 62.50 , w = 12; p = 18
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex]14w + 3p = 70.50 \\[/tex]
10w+7p = 62.50 ,
[tex]w = 12\\[/tex]
p = 18
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How do you graph exponential functions and logarithms?
Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.
Asymptotes: The graph of an exponential function does not have any asymptotes.
Domain and range: The domain and range of an exponential function are all real numbers.
Increasing or decreasing: An exponential function is always increasing.
Shape: The graph of an exponential function is concave up.
y-intercept: The y-intercept is (0,1)
x-intercept: The x-intercept does not exist.
To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.
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Using inductive reasoning, show that t(n+1)=t(n-2)+2t(n-1)
Answer:
uuhhhh t=2/3n-2/3
Step-by-step explanation: