Answer:
my answer is B
A 3-column table with 8 rows. Column 1 is labeled Level with entries 4, 4, 4, 4, 5, 5, 5, 5. Column 2 is labeled Shuttle with entries 2, 4, 6, 9, 2, 4, 6, 9. Column 3 is labeled V O subscript 2 Baseline Max with entries 26. 8, 27. 6, 28. 3, 29. 5, 30. 2, 31. 0, 31. 8, 32. According to this multistage fitness test reference chart, what would the maximum oxygen intake be for a person who failed to complete the seventh shuttle run in the fifth level? A. 26. 8 ml/kg/min B. 28. 3 ml/kg/min C. 30. 2 ml/kg/min D. 31. 8 ml/kg/min Please select the best answer from the choices provided. A B C D.
The maximum oxygen intake for this level and shuttle is given as 28.3 ml/kg/min in the V O subscript 2 Baseline Max column.
According to the provided multistage fitness test reference chart, the maximum oxygen intake for a person who failed to complete the seventh shuttle run in the fifth level would be 28.3 ml/kg/min.
The table given has three columns
Level, Shuttle, and VO2 Baseline Max.
The entries under the Level column range from 4 to 5.
The entries under the Shuttle column range from 2 to 9.
The entries under the V O subscript 2 Baseline Max column range from 26.8 to 32.
The maximum oxygen intake for a person who failed to complete the seventh shuttle run in the fifth level can be found by locating Level 5 and the seventh shuttle run in the Shuttle column.
Therefore, the correct is option B) 28.3 ml/kg/min.
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Find the missing angle measurement
Answer:
85
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
As you can see in the attached image we can find the measure of the interior angle using the straight line and find the value of missing angle
25 + 60 = 85
Find the dual for the following linear programming problem: (i) Maximize Z= 3x + 4y + 5z Subject to: X + 2y + z ≤ 10 7x + 3y + 9z ≤ 12 X, Y, 2 ≥ 0. [2 MARKS] (ii) Minimize Z = y1 + 2y2 Subject to: 3yi + 4y2 > 5 2y1 + 6y2 ≥ 6 Yi + y2 ≥ 2
The dual for the given linear programming problems are as follows:
(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.
(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.
What are the dual formulations for the given linear programming problems?In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.
The primal problem is:
Maximize Z = 3x + 4y + 5z
Subject to:
x + 2y + z ≤ 10
7x + 3y + 9z ≤ 12
x, y, z ≥ 0
To find the dual, we introduce the dual variables a and b for the constraints:
Minimize Z' = 10a + 12b
Subject to:
a + 7b ≥ 3
2a + 3b ≥ 4
a + 9b ≥ 5
a, b ≥ 0
In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.
The primal problem is:
Minimize Z = y1 + 2y2
Subject to:
3y1 + 4y2 > 5
2y1 + 6y2 ≥ 6
y1 + y2 ≥ 2
To find the dual, we introduce the dual variables a, b, and c for the constraints:
Maximize Z' = 5a + 6b + 2c
Subject to:
3a + 2b + c ≤ 1
4a + 6b + c ≤ 2
a + b ≤ 0
a, b, c ≥ 0
The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.
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Which expression represents “7 more than x”?
7x
7 + x
x – 7
x ÷ 7
Answer:
7+x this is the answer ok
a taxi service offers a ride with an $5 sub charge and charges 0.50 per mile
Answer:
5+.5(M)
Step-by-step explanation:
g the probability that a patient recovers from a stomach disease is 0.8 exactly 14 recover? at least 10 recover?
A patient's probability of recovering is 0.8, so the likelihood that they won't is 0.2.
The probability that a patient will recover from a stomach disease is 0.8. Assume that 20 persons have reportedly got this illness.
Let X = # of recoveries out of 20 patients who caught the condition while PMF for X and resolve issues. Imagine that a 20-person sample was chosen at random.
Here, Bernoulli trials are applicable.
Recall that the chance of k successes in n trials using the Bernoulli approach is given by:
P(k)=( n/k )p (power k) * (q power n−k)
where q=1-p is the probability that an attempt would fail
where q=1-p is the probability that an attempt would fail
Here, let's make recovery a success. Hence, p = 0.8, q = 0.2, and n = 20
The probability that at least 10 recoveries will occur is
P(X10) = P(10) + P(11) + P(12) +... + P (20)
The complete question will be:
The probability that a patient recovers from a stomach disease is 0.8. Suppose twenty people are known to have contracted this disease. What is the probability that at least ten recover?
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Prove the Identity
\( {tan}^{2} x - {sin}^{2} x = {tan}^{2} x{sin}^{2} x\)
Answer:
check pic
step-by-step explanation
check pic
Answer:
see below
Step-by-step explanation:
tan ^2 x -sin ^2 x = tan ^2x sin ^2x
tan = sin / cos
sin ^2 x / cos ^2 x -sin ^2 x = sin ^2 x / cos ^2 x * sin^2 x
Multiply each side by cos ^2
cos ^ x (sin ^2 x / cos ^2 x -sin ^2 x) = cos ^2 x(sin ^2 x / cos ^2 x * sin ^2x)
sin ^2 x - cos ^2 x sin ^2 x = sin ^2 x * sin ^2x
Factor out sin ^2 x
sin ^2 x(1 - cos ^2 x) = sin ^2 x * sin^2 x
We know that 1 - cos ^2 x = sin ^2 x
sin ^2 x(sin ^2 x) = sin ^2 x * sin^2 x
Type your answer in to the boxes. The three points marked on the graph are the vertices (corners) of a parallelogram Y 10 q 8 5 B 3 2 2 3 5 6 7 8 9 10 X What are the coordinates of the fourth vertex?
The cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).
What is cοοrdinate?A spherical οr elliptical cοοrdinate system knοwn as the geοgraphic cοοrdinate system is used tο measure and transmit pοsitiοns οn Earth as latitude and lοngitude.
First, we can find the distance between pοints Y and q, which will be the same as the distance between pοints 5 and B since they are οppοsite sides οf the parallelοgram:
Distance Yq = \(\sqrt{[(10-8)^2 + (5-10)^2] }\)
Distance Yq = \(\sqrt{8 + 25 }\)
Distance Yq =\(\sqrt{ 33}\)
Distance 5B = \(\sqrt{[(3-2)^2 + (2-3)^2] }\)
Distance 5B = \(\sqrt{2}\)
Since οppοsite sides are cοngruent, √33 = √2x, where x is the length οf the missing side οf the parallelοgram. Sοlving fοr x, we get:
x = (33/2)
Next, we can find the slοpe οf the line passing thrοugh pοints Y and q,
Slοpe Yq = (10-5)/(8-10) = -5/2Slοpe B-missing vertex = -5/2
write the equatiοn οf the line passing thrοugh B and the missing vertex:
y - 2 = (-5/2)(x - 3)
Simplifying, we get:
y = (-5/2)x + (19/2)
Therefοre, the cοοrdinates οf the missing vertex are (19/2, x), where x = 2 + (33/2) = 19.5.
Sο the cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).
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Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Solve the literal equation for the given variable.
n = 4/5(m+7);m
Answer:
\(m = (5n/4) -7\)
Step-by-step explanation:
\(n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7\)
a candy bar is in the shape of a triangular prisim the volume of the box is 2400 cubic centimeters. what is the height of the base
The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.
What is the definition of a triangular prism?Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.
The complete question is;
"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters. It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"
The volume of the triangular prism;
\(\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm\)
Hence, the height of the base will be 15 cm.
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To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Natural numbers Rational numbers
Answer:
The answer is: Integers, and Rational Numbers.
Step-by-step explanation:
the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
The number -4 belongs to the following subsets of real numbers:
1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.
2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.
3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.
4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.
In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
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A group of 8 friends each buy 1 ticket and 1 small popcorn at the movie theater. Each ticket costs $7.50. The group
of friends spends a total of $83.60.
Enter the cost of 1 small popcorn.
t
x
1
2
3
4
5
6
7
8
9
0
US 10:
The cost of one small popcorn is $23.60. The total amount spent by the group of friends is $83.60, and each ticket costs $7.50.
To find the cost of one small popcorn, we can subtract the total cost of the tickets from the total amount spent by the group of friends.
The total amount spent by the group of friends is $83.60, and each ticket costs $7.50. Let's calculate the cost of one small popcorn:
Cost of one small popcorn = Total amount spent - (Number of tickets * Cost per ticket)
Cost of one small popcorn = $83.60 - (8 * $7.50)
Calculating further:
Cost of one small popcorn = $83.60 - $60
Cost of one small popcorn = $23.60
Therefore, the cost of one small popcorn is $23.60.
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Someone please help me I don’t understand
Answer:
ion understand either lol
For each expression, write an equivalent expression that only uses addition a. 20 - 9 + 8 -7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4 - 8/7z
Answer:
a. =11+ 1
b. =4x+ (-7y) + (-5z) +6
c. (-3x) + (-8y) +(-4)+(-8/7z)
Step-by-step explanation:
a. 20 - 9 + 8 -7
=11+ 1 ( this is obtained by solving)
b. 4x - 7y - 5z + 6
=4x+ (-7y) + (-5z) +6
We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.
c. -3x - 8y - 4 - 8/7z
-[ 3x+8y+4+8/7z]
or
(-3x) + (-8y) +(-4) +(-8/7z)
The minus sign is taken as common leaving the expression with the plus only.
It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.
camila writes down five positive integers. the unique mode of these integers is 2 greater than their median, and the median is 2 greater than their arithmetic mean. what is the least possible value for the mode?
The least possible value for the mode is D=11
Let M be the median
According to the question, the two largest integers are M+2
Let a and b be the two smallest integers such that a<b
Accordingly, the sorted list can be concluded as a,b, M, M+2, M+2
Since the median is 2 greater than their arithmetic mean, we have,
{a+b+M+(M+2)+(M+2)/5 }+2 =M
OR, a+b+14=2M
Note that a+b must be even.
We minimize this sum so that the arithmetic mean, the median, and the unique mode is minimized.
Let a=1 and b=3
from which M=9 and
M+2=11
Therefore, The least possible value for the mode is D=11
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Help pls. just area :(
Area of top right rectangle
8(7.5)60ft²Area of left top rectangle
10(7.5)75ft²Area of horizontal rectangle
(20-7.5)(45)12.5(45)562.5ft²Total
562.5+75+60562.5+135697.5ft²Answer:
B) 697.5 ft²
Step-by-step explanation:
The quickest way to approach this question is to calculate the area of the entire rectangle, then subtract the area of the small rectangle (the rectangle missing at the top).
Formula
Area of a rectangle = width x length
⇒ Area of large rectangle = 20 ft x 45 ft
= 900 ft²
⇒ Area of small rectangle = 7.5 ft x (45 - 8 - 10) ft
= 7.5 ft x 27 ft
= 202.5 ft²
⇒ Area of the pool cover = large rectangle - small rectangle
= 900 ft² - 202.5 ft²
= 697.5 ft²
As one equation:
Area of pool cover = (20 x 45) - (7.5 x (45 - 8 - 10))
= 900 - (7.5 x 27)
= 900 - 202.5
= 697.5 ft²
help with this one please
The graph of g(X) = -(x+3)⁴ compares to the parent function of f(x) = x⁴ got shifted 3 units to left and reflected over x-axis.
Translation means shifting , rescaling and reflecting parents function.
Shifting the graph means to move the graph to new location
Scaling means changing it shape
and Reflecting means a mirror image of parent function across either x-axis or y-axis.
here, If we draw graph of both the function you'll see
The parent function f(x) = x⁴ have center as (0,0)
where as Center of function g(x) = -(x+3)⁴ is (-3,0)
means g(x) = -(x+3)⁴ is moves towards the left by 3 units
and also the graph is in downwards which means it has also reflected across x-axis
Hence , the g(x) = -(x+3)⁴ is shifted 3 units to the left and reflected over the x-axis compare to parent function.
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Hazel and Tom travel the same 18 km route.
Hazel starts at 9. 00 am and walks at a constant speed of 4. 8 km/h
Tom starts at 9. 39 am and runs at a constant speed.
Tom overtakes Hazel at 10. 15 am
At what time does Tom finish the route?
Answer:
11:27 am.
Step-by-step explanation:
The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked
1.25 * 4.8
= 6 km.
So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes
= 0.6 hrs.
So, Tom's speed is 6/0.6 = 10 km/hr.
,
and Tom will take 18/10 = 1.8 hours to finish the route,
= 1 hr 48 minutes
So he finishes the route at
9:39 + 1:48
= 11:27 am.
find the slope of the line that passes through each pair of points. (2,4) and (9,12)
Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope of the line in this caseIn this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:
m= (12 -4)÷ (9 -2)
Solving:
m= 8÷ 7= 8/7
Finally, the slope of the line is 8/7.
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-5(-2) =
?.. Erm I need help if you can if not that’s fine...
Answer:
The answer is 10.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
When a number is next to another number number, that means that you have to multiply the two numbers
-5 x -2
-5 x -2 is 10
This 10 is positive because when two negatives are multiplied, the solution will be positive.
so
-5 x -2 = 10
Hope this helps : )
PLEASEEEE HELPPPPPP WIll add extra pointtss
Ron is renting an apartment and his landlord just raised his rent.he now pays 1500 and his rent will go up 10%.what will be the new payment
Answer:
it would be 150 more, so 1650
Step-by-step explanation:
divide 1500 by 10 to get 10%
solve . (a) identify the integrating factor, . = x^(-1) (b) find the general solution. -(1/3)x^(-3) note: use for the arbitrary constant. (c) solve the initial value problem .
A) IF = e⁰∫.dx
B) e⁰∫.dx = -1/3 x⁻³ + c, where c is the arbitrary constant.
C) e⁰∫.dx = -1/3 x⁻³ + e⁰∫.dx
A) The given equation is:
∫.dx = x⁻¹
The integrating factor (IF) is:
IF = e⁰∫.dx
B) Substituting the IF, we have:
e⁰∫.dx x⁻¹ = x⁻¹
Rearranging the equation, we obtain:
∫e⁰∫.dx dx = ∫x⁻¹ dx
Integrating both sides, we get:
e⁰∫.dx = -1/3 x⁻³ + c, where c is the arbitrary constant.
C) To solve the initial value problem, we need to find the value of c. To do this, substitute x = 0 in the equation and solve for c. We obtain:
e⁰∫.dx = -1/3 x⁻³ + c
e⁰∫.dx = -1/3 (0)⁻³ + c
e⁰∫.dx = c
Thus, the value of c is e⁰∫.dx.
Therefore, the general solution is:
e⁰∫.dx = -1/3 x⁻³ + e⁰∫.dx
This is the solution to the initial value problem.
In summary, the equation ∫.dx = x⁻¹ was solved by finding the integrating factor (IF) of e⁰∫.dx, and then using it to find the general solution of -1/3 x⁻³ + e⁰∫.dx.
The value of the arbitrary constant was found by substituting x = 0 and solving for c. Thus, the general solution of the initial value problem was obtained.
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The data show the roundtrip mileage driven to school each day by 43 randomly selected professors and students. If two frequency polygons were constructed on the same graph, what numbers
would be identified on the x-axis?
Answer:
12,17,22,27,32
Step-by-step explanation:
Use properties of real numbers to write the expression without parentheses. 6(x + y)
\(\boxed{\sf a(b+c)=ab+ac}\)
\(\\ \sf\longmapsto 6(x+y)\)
\(\\ \sf\longmapsto 6(x)+6(y)\)
\(\\ \sf\longmapsto 6x+6y\)
A park has grass and sand. Find the area of the part with grass.
(Sides meet at right angles.)
Answer:
\(26m^{2}\)
Step-by-step explanation:
To solve this problem you find the total area of the entire rectangle and subtract the area of the sand from it. That will give you the area of the grass.
To find the total area you need to do \(b*h\), in this case, the base is \(2+3+2\) or 7. The height is 5. So to find the area, you have to multiply \(7*5\) to get\(35m^{2}\).
To find the area of the grass you multiply the \(b*h\) or \(3*3\) to get the area of 9.
Now the last step is to subtract \(35 - 9\), doing so gives you your answer of 26 m
I would love to get Brainliest. I'm trying to get to the Genius status on Brainly.
y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 3 when x = 8. Find the value of y when
x = 6.
y = 9 when x = 6. Find the value of x when
y = 4.
y= 1.5 when x = 14. Find the value of y when
x = 9.
y = 20 when x = 10. Find the value of x when
y = 25.
The equation of variation is xy = k.
The required values are given below.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 8, x = 3.
k = 3 × 8 = 24
So, the equation of variation is xy = 24.
When x = 6,
6y = 24
⇒ y = 4
When y = 9, x = 6.
k = 6 × 9 = 54
So, the equation of variation is xy = 54.
When y = 4,
4x = 54
⇒ x = 27/2
When y = 1.5, x = 14.
k = 1.5 × 14 = 21
So, the equation of variation is xy = 21.
When x = 9,
9y = 21
⇒ y = 7/3
When y = 20, x = 10.
k = 20 × 10 = 200
So, the equation of variation is xy = 200.
When y = 25,
25x = 200
⇒ x = 8
Therefore, the values are given above.
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Will pick brainiest please answer NO LINKS
Answer:
6561
Step-by-step explanation:
(3^2)^4=3^2x1
=3^8
3^8= answer
find the derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x) given by. x'1=ax, x'2=bx2+c(x2)^3, where a,b, and c are constants.
The derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x) given by x'1=ax, x'2=bx2+c(x2)^3, where a,b, and c are constants, is [a 0; 0 2bx+3cx^2].
To find the derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x):
We first need to find the partial derivatives of each equation with respect to each variable.
For the first equation, x'1=ax,
the partial derivative with respect to x1 is a, and the partial derivative with respect to x2 is 0.
For the second equation, x'2=bx2+c(x2)^3,
the partial derivative with respect to x1 is 0, and the partial derivative with respect to x2 is 2bx + 3cx^2.
Putting these partial derivatives into a matrix, we get:
DF(x) =
[a 0]
[0 2bx+3cx^2]
Therefore, the derivative (or jacobian) matrix, DF(x), of the nonlinear system x′=f(x) given by x'1=ax, x'2=bx2+c(x2)^3, where a,b, and c are constants, is [a 0; 0 2bx+3cx^2].
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