Answer:
The minimum power output used to accomplish this feat is 408.625 watts.
Step-by-step explanation:
The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:
[tex]\dot W = m\cdot g \cdot \dot y[/tex] (Eq. 1)
Where:
[tex]m[/tex] - Mass of the athlete, measured in kilograms.
[tex]g[/tex] - Gravitational constant, measured in meters per square second.
[tex]\dot y[/tex] - Climbing rate, measured in meters per second.
[tex]\dot W[/tex]- Power, measured in watts.
By the consideration of constant velocity, we get that the climbing rate is represented by:
[tex]\dot y = \frac{s}{t}[/tex] (Eq. 2)
Where:
[tex]s[/tex] - Travelled distance, measured in meters.
[tex]t[/tex] - Time, measured in seconds.
And by substituting on (Eq. 1), the following expression is found:
[tex]\dot W = \frac{m\cdot g\cdot s}{t}[/tex]
If we know that [tex]m = 75\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]s = 5\,m[/tex] and [tex]t = 9\,s[/tex], then the minimum power output is:
[tex]\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}[/tex]
[tex]\dot W = 408.625\,W[/tex]
The minimum power output used to accomplish this feat is 408.625 watts.
-2(x + 6) = -36 .........
Answer:
x=12
Step-by-step explanation:
[tex] - 2x - 12 = - 36[/tex]
[tex] - 2x = - 36 + 12[/tex]
[tex] - 2x = - 24[/tex]
[tex]x = - 24 \div - 2[/tex]
[tex]x = 12[/tex]
Answer:
The answer is x=12
Step-by-step explanation:
-2(x+6)= -36
-2x+-12=-36
-2x+-12+12=-36+12
-2x=-24
Divide both sides by -2
-2x/2=-24/-2
x=12
Please help...............
a recipe that serves 8 people requires 4 1/2 cups of flour.
Suppose you need to make enough to serve 24 people. How many cups of flor do you need?
The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.
Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).
The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8
= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]
Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.
[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups
To learn more about ratios, please check: brainly.com/question/17995727
Find the slope of the line
Answer:
-3/2 I think
Step-by-step explanation:
rise over run
Answer:
slope = -3/2
Step-by-step explanation:
The line is down 3, right 2
If you want the entire equation it is y = -3/2x + 2
100 PONITS PLEASE HELP ME!!
Answer:
Your business partner is correct.
General Formulas and Concepts:
Stats - Correlations
Positive means that it is trending upwardsNegative means that is is trending downwardsStep-by-step explanation:
If we were to draw a best line of fit into the scatterplot, we would see that we would get a positive slope and a positive line.
That means the scatterplot will be increasing calories as we increase fat.
Therefore, we would have a positive correlation. The business partner is correct.
Answer:
Step-by-step explanation:
um
find the values of x and y in the following triangle
Which system is the solution of the graph?
Answer:
2
Step-by-step explanation:
What are the coordinates of its image, J'K'L, if this
triangle is dilated by a factor of 5 with respect to the
origin?
J'(2,7),K (8,7), and L'(5, 1)
O J'(-5, 2), K (5,2), and L'(0, -5)
J'(-3, 2), K (8, 2), and L'(0, -9)
J'(-15, 10), K (15, 10), and L'(0, -20)
Its the last one. I just took the quiz on edge.
Step-by-step explanation: The scale factor is 5. You mutiply 5 with the coordinates. J is (-3,2) so multiply 5 and -3 which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)
72.05-29.69?????????????????
Answer:
42.36
Step-by-step explanation:
Big boi questions just use the caculator
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians.
Answer:
Here we have four individual events.
First selection, second selection, third selection and fourth selection.
Where initially, the options are 16 Americans and 13 Canadians.
Now, to see if the events are dependent or independent.
Suppose that in the first selection, an American is selected.
Then the second selection has 15 Americans and 13 Canadians as options.
Now, if in the first selection, a Canadian is selected.
Then in the second selection, the options will be 16 Americans and 12 Canadians.
Then the events are not independent.
Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians
The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.
For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:
P1 = 13/29.
Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:
P2 = 12/28
with the same reasoning as above, the probabilities for the third and fourth selections will be:
P3 = 11/27
P4 = 10/26.
The joint probability will be equal to the product of the individual probabilities, this is:
P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03
. "A number is less than or equal to -11.".
Answer:
x <(with a line underneath the carrot) -11
Step-by-step explanation:
Hope this helps! Could not find the symbol.
The inequality for x which is less than or equal to -11 is written as x ≤ -11 or x + 11 ≤ 0.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Let the required number is x.
In the given question,
Number x is less than or equal to -11.
The inequality for x which is less than or equal to -11 can be written as,
x ≤ -11
The inequality can be further simplified as,
⇒x + 11 ≤ 0
The inequality for x is x + 11 ≤ 0.
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The longer piece of wood has dimensions of 2 inches by 2 inches by 7 inches. The shorter piece of wood has dimensions of 4 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?
Answer:
TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?
Step-by-step explanation:
Help! Will give brainliest!!
Answer:
1 no solution
2 5,1
3 7,-2
4 4,5
Step-by-step explanation:
i need more help i'm so bad at this subject z/4 - 1/2 = 9? pls steps and test
answer: x=38
Step-by-step explanation:
hope I help you
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3
Answer:
a7 equals 35 +3=38
Step-by-step explanation:
5times7 is 35
u sub 7 for n
Please help me as soon as possible! :)
1 1/8 + b ≥ 7/16
Answer: 42
Step-by-step explanation:
Example:
Solve x + 7 < 15
Solution:
x + 7 < 15
x + 7 – 7 < 15 – 7
x < 8
Inequalities Of The Form “x – a < b” or “x – a > b”
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (*≧∀≦*)
The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Now,
Solve the inequality as;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Solve for b as;
⇒ 9/8 + b ≥ 7/16
Subtract 9/8 as,
⇒ 9/8 + b - 9/8 ≥ 7/16 - 9/8
⇒ b ≥ (7 - 18) / 16
⇒ b ≥ - 11/16
⇒ - 11/16 ≤ b
Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
Learn more about the inequality visit:
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If you help me I will help you by giving out brainlest and points 25 POINTS
RIP KING VON
Answer:
B. 0.25
Step-by-step explanation:
The probability of the coin landing on heads the first time is 1/2 since there are two sides. You would then multiply this by the 1/2 chance that you get heads on the second turn to get a probability of 1/4, or 0.25, that the coin will land on heads both times.
Answer: its A it's 50 to 50
Step-by-step explanation:
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on
the math team?
There are 5 boys for every 5 girls.
There are 5 boys for every 13 girls.
For every 5 boys there are 8 girls.
For every 8 boys there are 5 girls.
Mark this and retum
Save and Exit
Next
Submit
Answer:
For every 5 boys there are 8 girls.
20 a) The area of a square field is 84642. A man takes 3 rounds of this field. Find the distance covered by him.
Answer:
So, the distance covered by man if he takes 3 rounds is 3491.16 inches
Step-by-step explanation:
We are given area of square field i.e 84642 and we need to find distance covered by man if he takes 3 rounds of the field.
Distance covered by man = Perimeter of square field
First we have to find length of side of square field.
The formula used is Area of square= (Length)^2
Putting value of area and finding length.
[tex]Area of square= (Length)^2\\\sqrt{Length} =\sqrt{84642} \\Length= 290.93\\[/tex]
So, length of square field is 290.93 inches
Now finding the distance covered by man if he takes 3 rounds
First find perimeter
Perimeter of square = 4*length
Perimeter of square = 4*290.93
Perimeter of square = 1163.72 inches
Distance covered by man if he takes 3 rounds = 3*Perimeter of square
Distance covered by man if he takes 3 rounds = 3*1163.72
So, the distance covered by man if he takes 3 rounds is 3491.16 inches
evaluate the following question 109*104
Answer: Exact Form:
109^104
Decimal Form:
7.8046923 x 10^211
Step-by-step explanation:
Answer:
11336
Step-by-step explanation:
109*104= 11336
hdhdhdhdhdhdjudjdhdhsh
Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?
Problem ID: PRABFDGS
Write the equation
{ first 5 multiples of 12}
Answer:
The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,…
Which expressions are equivalent to 4 • (7 • y)
Answer:
4(7)+4(y)
4(y·7)
4(3+4)+4(y)
Step-by-step explanation:
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{Which\ expressions\ are\ equivalent\ to\ 4\times(7\times y)?}[/tex]
[tex]\downarrow\textsf{Your steps on how to solve for your answer}[/tex]
[tex]\mathsf{4\times(7\times y)}\\\mathsf{7\times y=7y}\\\mathsf{4(7y)=28y}[/tex]
[tex]\boxed{\boxed{\huge{\text{{Thus your answer is: \boxed{\boxed{\huge\text{\bf{28y}}}}}}}}}\huge}\checkmark[/tex]
[tex]\textsf{We can flip the equation around and that can be another answer}[/tex]
[tex]\boxed{{\mathsf{(\bf{7\times y)\times4}}}} \checkmark[/tex]
[tex]\boxed{\mathsf{\bf{(4\times 7) y}}}\checkmark[/tex]
[tex]\mathsf{Thus, your\ answers\ are:\boxed{ \boxed{\bf{28y} ;\ \ (4\times 7) \timesy\times y; \ \& \ (7\times y) \times 4 }}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
evaluate (2^-5)(2^2)(4^3) / 2
Answer: 4
Step-by-step explanation:
1. Solve:
3
[tex]}^{2} [/tex]
[tex]{ 3}^{ - 6} \times {3}^{2} [/tex]
A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?
Answer:
12
Step-by-step explanation:
We have to find 3/4 th of 16
So it's 3/4 * 16 = 12
GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM. Please help
Answer:
(- 2x , - 2y)
Step-by-step explanation:
A(x, y) ----> A' (kx, ky)
~~~~~~~~
H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2
M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)
k = - 2
Thus, the rule of dilation centered in origin is (- 2x , - 2y)
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
Answer:
hello your question is incomplete attached below is the complete question and solution
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y = x^2 , x = y^2 about x = -1
answer : [tex]\frac{29\pi }{30}[/tex]
Step-by-step explanation:
given curves = y = x^2 and x = y^2
we determine the inner and outer radii using the washer method
inner radius = R2(y) = 1 + y^2
outer radius = R1 (y) = 1 + [tex]\sqrt{y}[/tex]
volume of the solid = [tex]\frac{29\pi }{30}[/tex]
attached below is a detailed solution and required sketch
30% of the toys collected at the holiday toy drive were stuffed animals. There were a total of 80 toys collected. How many toys were stuffed animals?
Answer:
24 toys
Step-by-step explanation:
line up your numbers by the type of unit they have :
80 toys represent 100% of the toys
? toys represent 30% that are stuffed animals
Cross-multiply
?*100 = 30*80
divide both sides by 100
?= 30*80/100= 24
