Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).
To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.
∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\) dt
We can use the substitution u = t - 5 to simplify the integral:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du
Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:
∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870
Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).
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Divide 9 by t. Then, add 3.
Which of the following expressions matches the statement above?
OA. t + 9 + 3
OB. 9 + 3+ t
C. 9 + (t + 3)
OD. 9+t+3
8-5[(4+3)^2-(2^3+8)]
Answer:
-157
Step-by-step explanation:
8-5[(4+3)^2-(2^3+8)], Your Answer Should Be "-157"
Hope this helps!
Alicia hiked 3 3/4 miles for 8 Saturdays in a row. Then she hiked 5 1/4 miles for the next 4 Saturdays. What is the total distance Alicia hiked?
Answer:
51 miles
Step-by-step explanation:
\(3\frac{3}{4}\) x 8 = 30
\(5\frac{1}{4}\) x 4 = 21
21 + 30 = 51
The requried distance hiked by Alicia after addition is given as 51 miles.
What is addiction?The addition is mathematical terminology when two one value is increased by another value is called addition, for example, 2 added with 3 gives 5.
here,
Alicia hiked 3 3/4 miles for 8 Saturdays in a row.
Distance hiked = 3 3/4 × 8 = 30 miles
Then she hiked 5 1/4 miles for the next 4 Saturdays.
Distance hiked = 5 1/4 × 4 = 21 miles
Total distance hiked = 51 miles
Thus, the requried distance hiked by Alicia after addition is given as 51 miles.
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I WILL GIVE BRIANLEST!!!! 80 PIONTS FOR THE FIRST TO ANSWER!!! 40 FOR THE NEXT TO ANSWER PIONTS PLEZ HELP NOW DUE!!!!! NO FAKE ANSWERS!!! I WILL REPORT
the relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8000 ft, the liquid boils at 204.4 DegreesF. At an altitude of 4500 ft, the liquid boils at 208.6 degrees F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Answer:
It's linear. So find the slope, with altitude as the x values and boiling point as the y values.
slope = (y2 - y1)/(x2 - x1) = (201.1 - 206.4)/(8500 - 4500) = -5.3/4000 = -0.001325 (degrees F per ft.)
Now set up the Point/Slope form of the equation and convert it to the Slope/Intercept form.
Y - 201.1 = -0.001325 * (X - 8500) Y = -0.001325 X + ( -11.2625 + 201.1 ) = -0.001325 X + 189.8375.
Set X = 2600 and solve for Y.
Oops; a mistake It should be Y = -0.001325 X + ( +11.2625 + 201.1 ) = -0.001325 X + 212.3625.
Upvote
Step-by-step explanation: I think I solved it but I'm confused.
Answer:
The answer to you question is,
We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.
Step-by-step explanation:
Trust me, and I already done this before
A radio mast is supported by two
cables as shown. Find the distance
between the two points A and B.
30 m
60°
B
50°
A
According to the given statement,
The distance between the two points of Traingle A and B is 7.85 m
What are the Angles of a Triangle?The area created between two of a triangle's side lengths is known as the angle. Both internal and external angles are present in a triangle. In a triangle, there are three interior angles. When the sides of a triangle are stretched to infinity, exterior angles are created.
Between a triangle's shorter side and its extended side, external angles are created. There is an inside angle next to each outer angle. Angles that share a vertex and side are said to be adjacent.
According to the given value;
Angle B = 60° , Angle A = 50°
In ∆ BCD
tan60° = 30/BC
√3 = 30/BC
BC = 30/√3
BC = 10√3
In ∆ ACD
tan50° = 30/AC
tan50° = 30/(BC+AB)
BC + AB = 30/tan50°
10/√3 + AB = 30/tan50°
AB = 30/tan50° - 10√3
AB = 25.173 - 10√3
AB = 7.85 m
Hence, distance between the two points A and B is 7.85 m.
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PLEASE SOMEONE HELP ME
Answer:
use a perimeter calculator if you want to for me using a calcultor is pretty uch illegal in my head and it diesnt help e on bit and use one only if you need to thus I wouldn'tknow your answer and I can't use a calculator as I don't really need it sorry.
Step-by-step explanation:
How many integers are between the numbers a = - 6.52 and b = 6.98?
Answer:
-13.5
Step-by-step explanation:
-6.52-6.98=-13.5
How do you write 2 4/5 as a decimal?
Answer:
2.8
Step-by-step explanation:
Set aside the 2 for now.
Divide 4÷5=0.8 NOTE: Order Matters!!
Add: 2 + 0.8 = 2.8 (Just put the 2 to the Left of the decimal.)
La somme du double de x et de 14
donne 30.
x égale combient
Answer:
x=36° (180/5x because 2x+3x)
Step-by-step explanation:
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answer:
the answer I believe will be 25.16
last option is the answer to the question
How do states with no personal income tax raise money for public services?
Answer:
The funding for those services typically comes from three key areas: property taxes, sales taxes, and income taxes. States without a personal income tax might ask residents and visitors to pay more sales tax on groceries, clothes, and other goods, as is the case in Washington.
we use minors chicken base to make chicken noodle soup. if a one pound container makes 80-8 ounce portions of chicken stock and one tablespoon makes one quart of chicken stock, then how many tablespoons will make 5 gallons of chicken stock?
Total Twenty tablespoons will make five gallons of chicken stock, where one tablespoon used to make one quart of chicken stock.
What is cooking measuThe process of calculating and determining the specific amounts of ingredients required using standard measuring devices such as measuring spoons, measuring cups, etc.
Why is it important ?
By measuring, you avoid wasting food while cooking and the ingredients you use are not wasted. Once you know the number of guests and their appetites, add ingredients accordingly, but avoid wasting food. Basic Cooking Measurements :
teaspoon ( tsp.)tablespoon ( tbs. or tbsp.)ounce (oz)cup (also c)pint (pt)quart (qt )gallon (gal)We will make 5 gallons of chicken stock. Also, one tablespoon makes one quart of chicken stock. Using the standard measurements, one gallon = four quarts (qt.)
five gallons = 5×4 quarts = 20 quarts --(1)
We have to make a 20 quarts of chicken stock so, we need 20 tablespoons for it.
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Which of the following are possible solutions to this inequality?
SELECT ALL THAT APPLY :D
A) -2.75
B) -3
C) -2.5
D) -2.51
Answer:
I think the answer is a,b and d.
the proportion of a population with a characteristic of interest is p = 0.35. find the standard deviation of the sample proportion obtained from random samples of size 900.
The standard deviation of the sample proportion obtained from random samples of size 900 is 0.014846.
To find the standard deviation of the sample proportion obtained from random samples of size 900, we can use the formula:
standard deviation = square root of (p * (1 - p) / n)
where p is the proportion of the population with the characteristic of interest (in this case, p = 0.35), and n is the sample size (in this case, n = 900).
Plugging in the values, we get:
standard deviation = square root of (0.35 * (1 - 0.35) / 900)
standard deviation = square root of (0.00022025)
standard deviation = 0.014846
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what is a multiplication equation that has a solution of 12
Answer:
4 x 3 = 12
Step-by-step explanation:
12 x 1 = 12
6 x 2 = 12
Which rule describes the transformation?
(x,y) - (x, y)
(x, y) - (y,x)
(x,y) - (-x, -y)
(x,y) - (-y, -x)
Answer:
it's the third one
Step-by-step explanation:
For the following in functions of the quantity of t minutes
Part A
Given
\(Q(t)=400(2)^{\frac{t}{4}}\)Solution
We ask to double the time i.e
\(\begin{gathered} 800=400(2)^{\frac{t}{4}} \\ \text{Divide both sides by 400} \\ \frac{800}{400}=\frac{400}{400}(2)^{\frac{t}{4}} \\ \\ 2^1=(2)^{\frac{t}{4}} \\ \\ 1=\frac{t}{4} \\ \\ \text{cross multiply} \\ t=1\times4 \\ t=4 \end{gathered}\)Part B
Given
\(y=10(\frac{1}{2})^{\frac{t}{12}}\)Solution
The half-life would be 5
\(\begin{gathered} y=10(\frac{1}{2})^{\frac{t}{12}} \\ 5=10(\frac{1}{2})^{\frac{t}{12}} \\ \text{divide both sides by 10} \\ \\ \frac{5}{10}=\frac{10}{10}(\frac{1}{2})^{\frac{t}{12}} \\ \\ \frac{1}{2}=(\frac{1}{2})^{\frac{t}{12}} \\ \\ 1=\frac{T}{12} \\ \text{cross multiply} \\ T=1\times12 \\ T=12 \end{gathered}\)PLS GIVE THE ANSWER!!!!!! ALSO ITS NOT A NUMBER IS IT C OR A
Answer:
I am confused there no picture so go with your gut man
Step-by-step explanation:
I need to know the answer to this quick algebra question which is 8(x+3)/-2.5=8
The value of x in the equation 8(x + 3)/(-2.5) = 8 is - 5.5.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, 8(x + 3)/(-2.5) = 8.
8x + 24 = 8×-2.5.
8x + 24 = - 20.
8x = - 20 - 24.
8x = - 44.
x = - 44/8.
x = - 5.5.
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Who ran farther by the end of the week how much farther use the table below that shows the distances in miles
Answer:
Yu ran farther by the end of the week.
Step-by-step explanation:
Fraction addition
\(\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}\)
Convert mixed fractions to improper fractions
\(\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles\)
\(\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}\)\(\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}\)
\(\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles\)
Yu ran farther by the end of the week.
Help please I'll name brainliest
Answer:
There u go
Step-by-step explanation:
Which of the following are adjacent angles?
Answer:
c
Step-by-step explana i think its right
Rachel and Sean had the same number of marbles. Rachel gave away
20 marbles and Sean gave away 44 marbles. Rachel then had 3 times as
many marbles as Sean. How many marbles did Rachel and Sean each
have at first?
Answer:
They had 98 marbles
Each year for 6 years, the time it takes you to run a mile decreases by 2 seconds. Find the total change in time.
Answer:
-12
Step-by-step explanation:
Each you for 6 years the time it takes to run a mile decreases by 2. So 6 x 2 = 12 but, since it decreases its -12.
28 tea pluckers can pluck 1260 kg of leaves in 8 hours. How many more people will be required,if 1200 kg of tea need to be plucked in 6 hours?
The exact number of additional pluckers can be determined by comparing the rate at which tea is plucked in the given scenario with the rate achieved by the initial group of 28 pluckers.
In the first scenario, 28 tea pluckers can collectively pluck 1260 kg of leaves in 8 hours. This means that the plucking rate of the initial group is 1260 kg / 8 hours = 157.5 kg/hour.
To determine the number of additional pluckers needed to pluck 1200 kg in 6 hours, we can calculate the required plucking rate. Dividing the desired amount by the given time frame, we get 1200 kg / 6 hours = 200 kg/hour.
To achieve a plucking rate of 200 kg/hour, we need to compare it to the rate achieved by the initial group. The additional pluckers required can be determined by finding the difference in rates: 200 kg/hour - 157.5 kg/hour = 42.5 kg/hour.
To find the number of additional pluckers needed, we divide the required rate by the rate per plucker: 42.5 kg/hour / 157.5 kg/hour = 0.27.
Since we cannot have a fraction of a person, we round up to the nearest whole number. Therefore, we would need at least 1 additional tea plucker to achieve the desired plucking rate.
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Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
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I need some help please
Answer:
Step-by-step explanation:
I think is x-1
It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.
While your answering dis question.... pls tell me why u r so good at math.... And don't just say because I am. Brainiest to the top answer
Step-by-step explanation:
f (x)=5x+1
Hence, In order to find f (-3), we must find the value of 5×-3 +1
Hence, Substituting x=-3,
p (-3)=5×-3 +1
= -15+1
= -14
45 POINTS WILL BE MARKED BRAINLIEST IF ANSWERED CORRECTLY!!!!!
Rewrite the following as the square of a binomial if possible
x^2+x+y^2
Answer:
(x + y)^2 - 2xy
which of the following are identities
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
We have,
Let's analyze each of the given statements to determine whether they are identities:
tan x = sin x / cos x:
This is an identity.
It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).
tan x cos x = sin x:
This is not an identity.
It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
cos x = tan x sin x:
This is not an identity.
Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
sin x / tan x = cos x:
This is an identity.
It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.
Thus,
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
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