The function T(x) gives us the time required to reach a coma and x is the amount of carbon monoxide.
\(T(x)=0.0002x^2-0.316x+127.9\)a) Set x=550 and solve for T as follows:
\(\begin{gathered} T(550)=0.0002(550)^2-0.316(550)+127.9 \\ \Rightarrow T(550)=60.5-173.8+127.9 \\ \Rightarrow T(550)=14.6 \end{gathered}\)And remember that T is given in hours, then the answer to part a) is 14.6 hr.
b) Set T(x)=6 and solve for x as follows:
\(\begin{gathered} T(x)=6 \\ \Rightarrow0.0002x^2-0.316x+127.9=6 \\ \Rightarrow0.0002x^2-0.316x+121.9=0 \\ \Rightarrow x\approx669.2\text{ or }x\approx910.8 \end{gathered}\)You can solve the quadratic equation by any method you want.
Remember that T(x) requires that 500<=x<=800, we cannot know the effect that 910.8 ppm can cause in a person. Then, the answer to part b) is x=669.2 ppm
HELP ASAP!! I DONT KNOW IT!!
Answer:
9 is friday and the ansr is 81
Step-by-step explanation:
Determine the surface area and volume. Note: The base is a square.
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
The product of 3 and 4 2/5
Answer:
here! I hope this helps :) the answer is 13.2 or 13 1 (upon 5)
Step-by-step explanation:
3 × 4 2 (upon 5)
=3× 22 (upon 5)
=66 (upon 5)
=13 1 (upon 5)
Question 3 (1 point)
Karl wants to find the width RQ of a river. He starts at point R, and walks
perpendicular along the edge of the river 42 ft and marks point S. He then walks 28
ft further and marks point T. He turns 90° and walks until his location (point U), point
S, and point Q are collinear. Suppose TU= 68 ft. What is the width of the river in
feet?
The width RQ of the river is approximately 61.98 ft.
To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.
Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.
From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.
Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.
From the given information, we know that TU = 68 ft.
Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.
The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
UQ² = TU² - US²
UQ² = 68² - 28²
UQ² = 4624 - 784
UQ² = 3840
Taking the square root of both sides, we have:
UQ = √3840
UQ ≈ 61.98 ft
Therefore, the width RQ of the river is approximately 61.98 ft.
Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.
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Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers obtained data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static system?
Answer: hello some data is missing from your question attached below is the missing data
answer :
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system
Step-by-step explanation:
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence
Given ∝ = 0.10
i) mean number of dynamic system = ( x1 ) = 7.08
s1 ( std of sample ) = 1.51
sample size = 12
df ( degree of freedom ) = n - 1 = 11
Hence critical value : t∝,11 = -1.3637 ( = T.INV(0.1,11)
ii) mean number of static system
( x2 ) = 11.33
s2 ( std of static sample ) = 3.83
sample size = 6
df( degree of freedom ) = n -1 = 5
critical value = t∝,5 = -1.4759 ( = T.INV(0.1,5) )
Find the area of the circle to the nearest tenth.
A.210.3 sq m
B. 660.5 sq m
C. 2075.1 sq m
D. 2642.1 sq m
A new blu-ray player costs $80.99 in the store. What would your total cost be if the sales tax is 5.5%? Round your answer to the nearest cent, if necessary.
Answer:
445.445
Step-by-step explanation:
because I did it and I got it right
Answer: 85.44
Step-by-step explanation: 80.99*0.055
write equations for the exponential functions with horizontal asymptotes at y - 0 and passing through the following pairs of points.
a. (2,99) and (6, 8019)
b. (-1,50) and (2, 25.6
a. The required exponential function f(x) = (11)(3)ˣ which is passes through the points (2,99) and (6, 8019).
b. The required exponential function g(x) = (40)(0.8)ˣ which is passes through the points (-1,50) and (2, 25.6).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
a. Let the formula for an exponential function would be as
⇒ f(x) = abˣ
The exponential function passes through the two points (2,99) and (6, 8019).
99 = ab² .....(i)
8019 = ab⁶ .....(ii)
Divided by equation (i), then we get
8019/99 = ab⁶ / ab²
b⁴ = 81
b = 3
Substitute the value of b = 3 in the equation (i),
99 = a(3)²
a = 11
Substitute the values of a = 11 and b = 3 in the equation f(x) = abˣ
So f(x) = (11)(3)ˣ
Therefore, the required exponential function f(x) = (11)(3)ˣ
b. Similarly let's exponential function g(x) = abˣ
The exponential function passes through the two points (-1,50) and (2, 25.6).
50 = ab⁻¹
50 = a/b
a = 50b ....(i)
25.6 = ab²
Substitute the values of a = 50b in the above equation,
25.6 = (50b)b²
25.6 = 50b³
b³ = 25.6/50
b³ = 0.512
b = 0.8
Substitute the value of b = 0.8 in the equation (i),
a = 50(0.8)
a = 40
Substitute the values of a = 40 and b = 0.8 in the equation f(x) = abˣ
So g(x) = (40)(0.8)ˣ
Therefore, the required exponential function g(x) = (40)(0.8)ˣ.
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Solve the given system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets.
x+3y=14
4x+5y=35
Solve sin^2θ−4sinθ−5=0 for 0°≤θ≤360°
Answer:
\(\theta=270^\circ\)
Step-by-step explanation:
Given Equation and Parameters
\(sin^2\theta-4sin\theta-5=0,\: 0^\circ\leq\theta\leq 360^\circ\)
Calculation
Let \(u=sin\theta\), thus:
\(u^2-4u-5=0\\\\(u+1)(u-5)=0\\\\u=-1,\: u=5\)
\(sin\theta=-1\\\\\theta=270^\circ\)
\(sin\theta=5\\\\\theta=unde fined\)
Conclusion
\(\theta=270^\circ\)
PLS HELP I HAVE AN ASSIGNMENT DUE!!
Karl needs 3 1/2 square yards of fabric to make 1 patio chair cover. What is the total amount of fabric needed to make 6 patio chairs?
Answer:
1.71428571
Step-by-step explanation:
1.71428571
Answer:
21 square yards
Step-by-step explanation:
I'm not too sure, but I just did 3 1/2 square yards of fabric and multiplied it by 6 patio chairs. Hope that helps, sorry if it didn't!
I need a lil help, I am some how stuck here in math.
a. The value of c in the probability mass function when x is a discrete random variable is 0.15
b. The value of P(x > 3) is 0.25
c. The value of P(3 ≤ x ≤ 5) is 0.15
d. the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
What is probability mass function?In probability mass function, sum of the probabilities for all possible values of x must be equal to 1
Thus,
0.2 + 2c + 0.2 + c + 0.1 = 1
Solve for c
c = 0.15
Hence, the probability mass function for x can be rewritten as;
x: 0 1 2 4 10
p(x): 0.2 0.3 0.2 0.15 0.1
To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10
sum of their probabilities
P(x > 3) = P(x = 4) + P(x = 10)
= 0.15 + 0.1
= 0.25
To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:
P(3 ≤ x ≤ 5) = P(x = 4)
= 0.15
To find P(x < 6 | x ≥ 1), use the formula for conditional probability:
P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)
To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive
P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)
= 0.3
To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:
P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)
= 0.85
Therefore, we have
P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353
Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
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The history data of an airline company show that 5%
of the people that book a flight do not show up. If 42
people made a booking for a flight with a 40
-seat small plane, what is the probability that there will be a seat available for every passenger that shows up?
Give your answer as a percentage, rounded to the nearest unit, without giving the percentage symbol e.g. write 82 for 82.2%
The probability that there will be a seat available for every passenger that shows up is given as follows:
0.6276 = 62.76%.
What is the binomial distribution formula?The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.
The mass probability formula is given by the equation presented as follows:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters, along with their meaning, are listed as follows:
n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.The parameters for this problem are given as follows:
n = 42, p = 0.95.
(p is the probability of a person showing up).
The probability of more than 40 people showing up is obtained as follows:
P(X > 40) = P(X = 41) + P(X = 42).
In which:
P(X = 41) = 42 x (0.95)^41 x 0.05 = 0.2564.P(X = 42) = (0.95)^42 = 0.1160.Hence:
P(X > 40) = 0.2564 + 0.1160 = 0.3724.
Hence the probability of a vacant seat is of:
1 - 0.3724 = 0.6276 = 62.76%.
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WILL GIVE BRAINELIST
Brigit's class is collecting cans for recycling. Their goal is to collect 750 cans.
The first month, they collect 459 cans.
The next month, they collect 216 cans.
An expression that models the number of cans remaining to collect is:
A) 750 - (459+216)
B) 750 - (459-216)
C) 750 + (459-216)
D) (459+216) - 750
Answer:
I think it is A
Step-by-step explanation:
can you give brainliest
Answer:
A
Step-by-step explanation:
The goal is 750 and to see how many they still need to collect you have to take away the sum of what they've already collected each month.
PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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what fraction of the voters polled voted for eric jackson?
F. 1/26
G. 13/50
H. 13/37
J. 50/13
The fraction of the voters polled voted for Eric Jackson is 50/13. A fraction is a portion of a whole or, more broadly, any number of equal parts.
What is meant by fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction has a fraction in the integrand or denominator. The numerator of a proper fraction is smaller than the denominator.Fractions are described as parts of a whole. The total can be a single object or a group of objects.Therefore,
The fraction of the voters polled voted for Eric Jackson is 50/13
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Helpppppp plssssssss
please help w math…
Answer:
x= -3 and 0
Step-by-step explanation:
Where the function crosses the x axis, or y=0
A quantity P obeys the exponential growth law P(t)=e5t (t in years).
At what time t0 is P=15? Use yr for years. t0=?
At what time t1 is P=20? Use yr for years. t1= ?
What is the doubling time for P? Use yr for years. The doubling time is ?
Answer:
the time at which P =15 is \({t_o = 0.54161 \ years}\)
the time at which P =20 is \({t_1 = 0.59914 \ years}\)
the doubling time \({t = 0.138629 \ years}\)
Step-by-step explanation:
From the information we are being provided with:
The quantity P i.e \(P(t) = e ^{5t}\)
In order to determine the time at which P = 15, we have the following:
\(t= t_o\) when P = 15
∴ \(e^{5t_o} = 15\)
\(5t_o= In (15)\)
\(t_o = \dfrac{1}{5}In 15\)
\(t_o = \dfrac{1}{5} \times 2.70805\)
\({t_o = 0.54161 \ years}\)
Hence, the time at which P =15 is \({t_o = 0.54161 \ years}\)
In order to determine the time at which P = 20, we have the following:
\(t= t_1\) when P = 20
∴ \(e^{5t_1} = 20\)
\(5t_1= In (20)\)
\(t_1= \dfrac{1}{5}In (20)\)
\(t_1 = \dfrac{1}{5} \times 2.9957\)
\({t_1 = 0.59914 \ years}\)
Hence, the time at which P =20 is \({t_1 = 0.59914 \ years}\)
The doubling time at t = 0, mean P = 2
∴ \(e^{5t} = 2\)
\(5t= In (2)\)
\(t= \dfrac{1}{5}In(2)\)
\(t = \dfrac{1}{5} \times0.693147\)
\({t = 0.138629 \ years}\)
Hence, the doubling time \({t = 0.138629 \ years}\)
Please type the answers please help
Answer:
Step-by-step explanation:
哇,我喜歡吃很多食物,因為我喜歡並喜歡它。
Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.
Solve for x
(2^2/x) (2^4/x) = 2^12
\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's solve ~
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)
\(\qquad \sf \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)
Now, since the base on both sides are equal, therefore their exponents are equal as well ~
\(\qquad \sf \dashrightarrow \: \dfrac{6}{x} = 12\)
\(\qquad \sf \dashrightarrow \:x = \dfrac{6}{12} \)
\(\qquad \sf \dashrightarrow \:x = \dfrac{1}{2} \)
or
\(\qquad \sf \dashrightarrow \:x = 0.5\)
Hope you got the required Answer ~
the digit 1 in which number represents a value of 0.1
a) 6.513
b) 0.18
c)201
The place value of a digit in a given number can be in either unit, tens, hundred, thousand, hundred of thousand etc. Therefore the required answer is option B. 0.18.
What is the place value of a digit?The place value of a digit is its position in a given number. These could either be as unit, tens, hundred, thousands, ten thousands etc.
This can now be stated as required. This knowledge is required when round off a given decimal number to either a required number of significant figure or decimal places.
So that considering the given question, the place value of 1 in the given number 0.1 is tenths. Therefore, the place value of digit 1 that would make it to have a value of 0.1 is the number 0.18. Thus option B.
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3.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
B. linear function; linear term: 6x2; constant term: −12
C. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
D. linear function; linear term: x; constant term: −12
Answer:
A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
We have been given the equation
The degree of the given polynomial is 2.
Hence, the function is quadratic.
The term with exponent 2 on x is called the quadratic term. The term with exponent 1 on x is called linear and the term without any variable is a constant term.
Therefore, we have
Quadratic term= 6x^2
Linear term= x
Constant term= -12
9514 1404 393
Answer:
A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12
Step-by-step explanation:
The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.
It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.
_____
Additional comment
As with much of algebra, this is about vocabulary and pattern recognition.
BRAINLIEST, 40 points
A girl's feet are negative 2/4 yards from the surface of a pool. A boy's feet are negative 3/4 yards from the surface of the pool. Determine whose feet are closer to the surface.
A. The girl's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
B. The boy's feet are closer to the surface of the pool because negative 2/4 > negative 3/4.
C. The girl's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
D. The boy's feet are closer to the surface of the pool because negative 2/4 < negative 3/4.
Answer:
A
Step-by-step explanation:
as a negitive 1/2 is closer than 3/4
please help quickly need
Answer:
Step-by-step explanation:
its 186
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
a local radio has 30 concert tickets . they give away 2 tickets each hour until the tickets are gone
it will take a total of 15 hours to give away all of the tickets.
Why it will take 15 hours to give away all of the tickets?
This is because 30 divided by 2 is equal to 15. So if the radio gives away 2 tickets each hour, it will take 15 hours to give away all 30 tickets.
Note that this assumes that the radio station gives away tickets continuously and without any breaks. In reality, the radio station might give away tickets on certain days or at certain times, or might take breaks between giving away tickets.
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Evaluate the following: −3 − (−8).
Answer:
5
Step-by-step explanation:
When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.
From here, we have -3+8.
Now we subtract since each value has a different sign and we get +5.
Hope this helps!! :)
Answer:
5
Step-by-step explanation:
-*-=+
-*+=-
+*+=+
-3-(-8)=5
-3+8=5
Which of these polynomial functions is graphed below?
Answer:
B
Step-by-step explanation:
The \(y\)-intercept is \((0,27)\), eliminating all the options except for B.
F(x) =-6-3x/2. g(x)=2x+4
Answer:
correct
Step-by-step explanation:
my brain be smart