Answer: A) [tex]y=13e^{-0.1359t}[/tex]
B) H = 5.10
C) Yes
Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: [tex]y(t)=Ce^{rt}[/tex]
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:
[tex]y(t)=Ce^{rt}[/tex]
[tex]2.22=13e^{13r}[/tex]
[tex]e^{13r}=0.1708[/tex]
Using a natural logarithm property called power rule:
[tex]13r=ln(0.1708)[/tex]
[tex]r=\frac{ln(0.1708)}{13}[/tex]
[tex]r=-0.1359[/tex]
The decay function for concentration of DDT through the years is [tex]y(t)=13e^{-0.1359t}[/tex]
B) The value of H is calculated by [tex]y=C(0.5)^{\frac{t}{H} }[/tex]
[tex]2.22=13(0.5)^{\frac{13}{H} }[/tex]
[tex](0.5)^{\frac{13}{H} }=0.1708[/tex]
Again, using power rule for logarithm:
[tex]\frac{13}{H} log(0.5)=log(0.1708)[/tex]
[tex]\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}[/tex]
[tex]\frac{13}{H} =2.55[/tex]
H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model [tex]y(t)=13e^{-0.1359t}[/tex] to determine concentration of DDT in 1995:
[tex]y(24)=13e^{-0.1359.24}[/tex]
y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
help pleaseeeeeeeeeeeeeeeeeeee
What is the equation of a line that is parallel to y=4 that passes through (1, -5)
Answer:
y = - 5
Step-by-step explanation:
y = 4 is a horizontal line parallel to the x- axis
A parallel line must therefore be a horizontal line with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, - 5) with y- coordinate - 5, thus
y = - 5 ← equation of parallel line
The average profit/loss of a company (in thousands of dollars) was documented for 30 months. The 5th month showed a loss of $3000, however the 25th month
showed a profit of $5000. Assuming the profitloss is linear, write the equation of the line, in slope-intercept form, that represents the profit/loss for each month x. Use
this result to predict the profit/loss after 60 months
Hint: Use the ordered pairs (5. - 3) and (25,5).
2
The equation of the line in slope-intercept form is y= 5x -5.
(Type an equation using x and y as the variable. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
..There would be a of safter 60 months
Answer:
Step-by-step explanation: slope is (9-(-3))/(25-5)
12/20=0.6
point slope formula y-y1=m(x-x1), m slope (x1, y1) point
y-9=0.6(x-25)
y=0.6x-15+9
y=0.6x-6, x months and y profit.
for 60 months, y=0.6*60-6 or 36-6=$30000 profit
Laney pays $0.99 for each song she downloads from the internet. In total, She paid $24.75 for songs from the internet. How many songs does Laney Download
Answer:
25
Step-by-step explanation:
Divide the total cost ($24.75) by the price per song ($0.99) to get the amount of songs bought.
If there are 21 students in class today, how much would it
cost for the class and your teacher to ride the Sandia
Aerial Tram? Show your work.
a.
Create an equation to represent the cost the class
and your teacher taking a ride on the Sandia Aerial
Tram. Let f(x) be the total cost.
b.
Does the above scenario represent a function,
explain your reasoning.
Rates: $25 Adults, $20 Seniors 62+ & Teens 13-20 yrs,
$15 Youth 5-12 yrs.
Students, write your response
Answer:
a. f(x) = 21 (20) +1 (25) = 445
b. The scenario is a function because each student just have to pay once.
wich expression is equivalent to 0.5 * 0.6?
Answer:
0.3
Step-by-step explanation:
Answer:
0.3
Step-by-step explanation:
I hope this is what you where asking for?
I NEED HELP ASAP!!!!!!!!!!!!!!!!
Answer:
1/6
Step-by-step explanation:
If you divide the fractions to decimals 1/6 equals .16 which is closest to 0
Answer:
to acuratly measure the value of each fraction to determine which fraction is closest to 0 we need to get a common denom:
1/6---->2/12
11/12
5/6---->10/12
10/12
Now that we hahve a common denom we just need to find the smallest numerator value of these fractions.
2/12 or 1/6 is closest to 0 since it's the lowest value
1/6
Step-by-s tep explanation:
which line is perpendicular to y=2x+4?
a. y=2x-6
b. y=-1/2x+7
c. y=-1/4x+2
d. y=-4x+3
Answer:
B
In the equation y=mx+b m is the slope of the line.
Therefore the coefficient in each of these equations is the slope.
A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.
B is the only answer with the correct slope so B is the answer.
Step-by-step explanation:
Write rate as a untit rate for240 miles in 6 hrs
Answer:
40 mph or 40 miles per hour
Step-by-step explanation:
If there is 240 miles in 6 hours, so you can divide the 240 by 6 to get the unit rate of miles per hour.
240 divided by 6 is 40
Answer: 240 miles in 6 hours as a unit rate would be 240 over 6. This is because with unit rates to find how many miles in one hour you would divide 240 by 6. (This would give you 40.)
The functions f(x) and g(x) are described below.
f(x) = 7x + 9
g(x) = 7x - 4
The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.
Answer:
13 units
Step-by-step explanation:
Because the c term (9 for f(x)) represents the y intercept. The y only moves the graph up or down. Since we are trying to get from 9 to -4 move down by 13 units.
What does 8EE4 represent?
Solve for y 2/5x + y = 3
Answer:
y=-2/5x +3
Step-by-step explanation:
You get the y to be alone on it's side of the equal sign.
So you subtract 2/5 x from that side and what you do to one side you have to do to the other.
You get: y=-2/5x +3
Two expressions with equal sign is Equation. y= 3-2/5x is the solution for y if equation is 2/5x + y = 3.
What is Equation?Two expressions with equal sign is called as Equations.
Given Equation is 2/5x + y = 3, we need to solve for y.
You get the y to be alone on it's side of the equal sign.
So you subtract 2/5 x from that side and what you do to one side you have to do to the other.
2/5x + y = 3
y = 3-2/5x
Therefore y=3-2/5x is the solution for 2/5x + y = 3 equation.
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The price of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change
Answer:18%
Step-by-step explanation:
50.00-42.64=9.36
9.36/52=.18
Answer:
18%
Step-by-step explanation:
$52.00-$42.64= $9.36
[tex]\frac{9.36}{52.00}[/tex] x100
=0.18 x 100
=18%
2 (5x + 3)
solve and show like terms
Answer:
10x+6
Step-by-step explanation:
you would times the 2 by the 5 and the 2 by the 3 which gives you 10x+6
An electrician needs to buy 6 1/4 feet of electrical wire. There are 1 1/4 feet of wire on each spool. How many spools of wire should the electrician buy?
Answer:
5
Step-by-step explanation:
1 1/4 multiplied by 4 is 5 add another 1 1/4 is 6 1/4
What decimal place value is .09 in?? Please
Answer:
hundresths is correct
Answer:
Step-by-step explanation:
.09 the 9 is hundredth place the 0 is tenth place
Gina Wilson All Things Algebra Unit 3 Parallel and Perpendicular Lines
Answer:
Parallel lines are lines that do not meet while perpendicular lines are aligned 90 degrees to each other.
Step-by-step explanation:
Imagine two straight lines, drawn side by side to each other with no angle between them. When they are drawn to infinite, no point of one line would touch the other.
Perpendicular lines are two or more line that meets at a point to form a right angle, that is, separated with an angle of 90 degrees to each other.
1. Two students conducted similar experiments. The results of their experiments are
very different. What is the best step for the students to take next?
A. Change the experiment that is not correct.
B. Determine that both students are in correct.
C. Assume that both students' results are reliable,
D. Replicate the experiment to see whose results are more reliable.
Answer: D. Replicate the experiment to see whose results are more reliable.
Step-by-step explanation:
The experiments are similar, then we should expect to see similar results.
Now, we know that they get different results, let's analyze the options:
A) With the given information we can not conclude which is the incorrect experiment, then this is discarded.
B) We can not really determine that both students are in correct only knowing the experiment and the results, so this is also discarded.
C) You can not assume things.
D) This is the correct option, an experiment must be repeatable. This means that, with the same conditions, the result must be always the same.
Then we can replicate both experiments and see if the results are the same as before to determine if the results are reliable.
Eighth grade
Find the slope of the line that passes through (8, 10) and (4, 1).
Answer:
9/4 this Is a fraction
Step-by-step explanation:
1 - 10 = -9
4 - 8 = -4
-9 and -4 turn positive
If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y intercept of f(x) is x = 2k.
Answer:
f(2k0=0
Step-by-step explanation:
answer a
The correct statement about function is,
⇒ f (2k) = 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\
Given that;
(x – 2k) is a factor of function f(x),
Since, (x – 2k) is a factor of function f(x),
Hence, x = 2k is a factor of function f(x),
Thus, We get;
⇒ f (2k) = 0
Thus, The correct statement about function is,
⇒ f (2k) = 0
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Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined
Answer:
Exact form: 157/20
Decimal Form: 7.85
Mixed Number Form: 7/17/20
Step-by-step explanation:
In the triangular prism shown below, which lines are parallel?
M
N
IK and IM
IM and IM
IM and KN
KN and IM
Answer:
JM and KN
Step-by-step explanation:
one thing you can do to eliminate some answer choices is to make sure that the statement doesn't repeat a letter
the correct answer would be something like AB and BC, it would be like AB and CD
from there, you just have to look and pick your answer
Answer:
the 3rd one
Step-by-step explanation:
A random sample of online music video views and number of guitar sales was measured, and the computer output for regression was obtained: Coefficients Standard Error t Stat P-value Intercept 7.856710924 1.316226455 5.969118 0.001889 Music Video Views 0.094781123 0.027926367 3.393965 0.019378 R-sq. = 69.73%R-sq. (adj) = 63.68% Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. Part B: What proportion of the variation of guitar sales is explained by its linear relationship to music video views? Explain. Part C: Determine if increased guitar sales were caused by online music video views. Explain your reasoning.
Answer:
Explained below.
Step-by-step explanation:
The regression analysis output is as follows:
Coefficients Standard Error t Stat P-value
Intercept 7.856710924 1.316226455 5.969118 0.001889
Music Video 0.094781123 0.027926367 3.393965 0.019378
Views
R-sq. = 69.73%
R-sq. (adj) = 63.68%
A
There are two variables used in this study, the independent and the dependent variable.
The independent variable is the number of online music video views and the dependent variable is the number of guitar sales.
B
The coefficient of determination R² specifies the percentage of the variation in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
Thus, the proportion of the variation of guitar sales that is explained by its linear relationship to music video views is 69.73%.
C
The least square regression line is:
[tex]y=7.856710924+0.094781123\cdot x[/tex]
The least square regression line implies that there is a positive relationship between the guitar sales and music video views. That is as the number of music video views increases the guitar sales increases. And vice-versa.
Thus, increased guitar sales were caused by online music video views.
estimate each product :
1/7 x 20
Answer:
2.85714285714
Step-by-step explanation:
just searched it.
What is the slope of the line in the graph?
ch
4
3
2+
-54 -3 -1
1 2 3 3 4
4 5
X
-2
-3
4
-5
Answer:
I dont understand what your saying???
Step-by-step explanation:
The slope of the line in the graph is,
⇒ m = 1
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is,
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (- 1, 0) and (0, 1).
Now,
Since, The equation of line passes through the points (- 1, 0) and (0, 1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 0) / (0 - (-1))
m = 1 / 1
m = 1
Thus, The slope of the line in the graph is,
⇒ m = 1
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y = -3x + 6
Slope:
y-intercept:
y = 4/3x - 1
Slope:
y-intercept:
y = -1/5x + 3
Slope:
y-intercept:
Answer:
Step-by-step explanation:
y = mx + c
Slope = m
y-intercept = c
1) y = -3x + 6
Slope = -3
y-intercept = 6
2) y = 4/3 x - 1
Slope = 4/3
y-intercept = -1
3) y = -1/5x+3
Slope = -1/5
y-intercept = 3
Answer:
Step-by-step explanation:
y= -3x +6 [tex]y=\frac{4}{3} x-1[/tex]
slope: -3 slope=4/3x
y-intercept: (0,6) y-intercept:(0,-1)
[tex]y=-\frac{1}{5} x+3[/tex]
slope: -1/5x
y-intercept: (0,3)
Combine these like terms 2x and 15x
Answer:
17x is the answer
Step-by-step explanation:
The like numbers in this equation both have a variable after them. The variable is x. So I did 2+15=17. so when you add your variables x in your answer becomes 17x.
Solve for k in the proportion.
18
12
=
k
8
According to the table, what is the initial value of the data and how can this information be translated to
an ordered pair?
Answer:
Step-by-step explanation:
ay to verify a field type:
Right-click the label of the field and select Configure dictionary.
In this example, the context menu has been opened for the Name field for a record in the Record Producer [sc_cat_item_producer] table.Context menu for field
The context menu from clicking on the label of the Name field, with the Configure Dictionary option the Dictionary Entry record that opens, confirm that the Type field is Translated Text or Translated HTML.
In this example, you see that the Name field is of the type Translated Text.
Dictionary entry for field
Dictionary entry for the Name field, with the Type highlighted
Click back to the form.
Use the language picker to switch to the desired language.
In the relevant field, replace the English text with the text of the target language.
Click Submit.
Result
The platform creates a new record in the Translated Text table for the active language. When a user selects this language, the field displays the translated content for this language. When a user selects English or a language without an associated Translated Text record, the field displays English content.
Answer:
Has anyone gotten the answers?
Step-by-step explanation:
Ive been stuck for days
Solve the equation
80 = 2m
A) 4
B) 40
C) 160
D) 320
Answer:
B)40
Step-by-step explanation:
80 = 2 times 40: 80 = 80