It must be less effective than 100%. Any time you switch from one source of energy to another, especially if there is effort involved, there is a cost.
An enzyme is a protein that must retain its three-dimensional structure in order for it to function as a "lock and key." A little alteration to the enzyme structure might render it inoperative.
Denaturation of proteins is common. The protein's structure can change as a result of environmental factors including pH and temperature. An increase in temperature should hasten the process, but an excessive increase might harm the enzyme. Therefore, the situation in which there is no change to the enzyme structure would be the "ideal" one.
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Note : The complete question could be as bellow,
A second set of measurements were taken, and the efficiency was found to be greater than 100%. What reasons most likely explain why the second set had a different efficiency? Select all that apply:
Used the reciprocal of the efficiency formula
Raised the resistance force in a shorter amount of time
Used the incorrect conversion factor from pounds to Newtons for force Incorrect values for the resistance distance
Inaccurate readings from force sensor for effort force
Increase efficiency from reduced friction
An ant walk along a tick. The tick i 1 1/2 ft long. The ant travel 3/10 ft every econd. How long doe it take the ant to walk the whole length of the tick?
The required time taken by the ant to complete whole length of the brick is 5 seconds.
What is speed?Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
According to question:Length of brick = 1(1/2) = 3/2
Speed of ant = 0.3 ft/sec
Then,
Speed = distance/time
Time = distance/speed
Time = 1.5/0.3 = 5 seconds
Thus, time taken by ant to cover whole length is 5 seconds
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Given the data set 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, which of the mean, median or mode would you use to describe the typical or central value in this date set? Why? O None of these as this data set is qualitative.O The mode as this data set is dominated by a single value. O The median as there are outliers at the high end of the data set causing the mean to be skewed high. O The mean as this data set has no outliers causing the mean to be skewed.
The mean as this data set has no outliers causing the mean to be skewed. option ( D )
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
Mean - Add all numbers and divide by the total number of numbers
-> 5.5
Median - When all the numbers are put in order least to greatest, the middle value (if there are two numbers, find the average of the two numbers)
-> 5.5
Mode - Number that shows up most often
-> None
I would use the mean or median to describe the typical central value because they are the same value.
Therefore, The mean as this data set has no outliers causing the mean to be skewed. option ( D )
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the altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 4 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 9.5 centimeters and the area is 100 square centimeters?
So, the base of the triangle is decreasing at the rate of 1.6 cm/min.
Given that:
The altitude of is increasing at a rate of 1 centimeters/minute, which means;
dh/dt = 1 cm/min
The area of the triangle is increasing at a rate of 4 square centimeters/minute;
dA/dt = 4 cm2/min
When A = 100 cm2, h = 10 cm
We know that, area of a triangle is given by:
A = 1/2 × b × h
b = 20 cm
Let us differentiate both sides with respect to time:
dA/dt = 1/2 [b dh/dt + h db/dt]
Substituting the values
2 = 1/2 [20 × 1 + 10 × db/dt]
By further simplification, we get
4 = 20 + 10 db/dt
db/dt = -1.6 cm/min
Therefore, the base of the triangle is decreasing at the rate of 1.6 cm/min.
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HELLP! EASY POINTS!
Explain how to use a graph to determine a point on the coordinate plane that you could use to form a right triangle with the ordered pairs shown.
Answer:
In this problem, we need to add a point to this graph which creates a right triangle with the given points.
The easiest way to do this is to find a point that is perpendicular to both of the points; more simply put, it has to have the x-coordinate of one of the given points and the y-coordinate of the other given point.
For example, adding the point (50, -14) to the graph satisfies this criteria, using the x-coordinate of (50, 25) and the y-coordinate of (130, -14). However, you could also use the y-coord of the first point and the x-coord of the second to add the point (130, 25). Both points in bold satisfy the criteria.
See the attached image for a graph of these points and the right triangles they create.
In a Biology Laboratory at the beginning of an experiment there are 100 bacteria. During the experiment it is expected that the number of bacteria will double itself every 2 hours. Under this condition how long will it take the number of bacteria to reach 3200?
The amount of time that it will take for the bacteria to reach 3,200 is given as follows:
5 hours.
How to define an exponential function?An exponential function is defined as follows:
y = ab^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.For this problem, there are initially 100 bacteria, doubling each hour, hence the parameter values are given as follows:
a = 100, b = 2.
Hence the function is defined as follows:
y = 100(2)^x.
The amount will reach 3200 for x when y = 3200, hence:
3200 = 100(2)^x.
2^x = 3200/100
2^x = 32
2^x = 2^5
x = 5.
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Write all names that apply to each number
5.45
a gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. if one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot. b. find the area of the gazebo. (express your answer in square feet) c. find the cost of the gazebo's flooring if it costs $3 per square foot. round to the nearest hundred dollars
The maximum number of pens he can buy now is 71.
We are given that;
A regular octagon has equal sides = 9 feet and an apothem of 10.9 feet
The cost of the railing if it sells = $7.90 per foot
Now,
Let’s assume that the person has bought x pens.
The total cost of the pens would be 9x dollars.
The shopkeeper has given a discount of 70 dollars. So the total cost of the pens after discount would be 9x - 70 dollars.
We need to find the maximum number of pens he can buy now.
we need to find the maximum value of x such that 9x - 70 ≤ 0.
Solving this inequality gives us x ≤ 70/9 ≈ 7.78.
Therefore, by algebra the answer will be 71.
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Melanie babysits for $14 per hour.
If she earned $91 last week,
how many hours did she work?
Define the variable. Write and
solve the equation.
Answer:
Equation is 14h = 91
It solves to h = 6.5
===========================================
Work Shown:
h = number of hours worked
14h = amount earned at $14 per hour
14h = 91 is the equation
To solve this equation, divide both sides by 14.
14h = 91
14h/14 = 91/14
h = 6.5
She worked 6.5 hours last week.
What is the base if the portion is $4,570 and the rate is 55%?
Answer:
8309.09
Step-by-step explanation:
Base = Total
So we know that 4570 is 55% of the total
55% = 55/100 = 0.55
It is the same as:
4570 = 0.55 * total
Total = 4570/0.55 = about 8309.09
Hope this helps :)
Let me know if this is correct or not
Have a great day!
The measure of angle FGH is 60°.
The measure of angle
JGH is 35%.
FGJ is x°.
The measure of angle
Find the value of x.
x = 0
X
S
G
F
to
35°
60°
H
x = 60° - 35°
x = 25°
The measure of angle FGJ is 25°
Question 1
Divide £1530 in the ratio 5 : 12
Top one
A princess is on the top of a 167 foot tower looking down at a 37° angle of depression at a package attached to a rope on the ground. How long is the rope?
The length of the rope in the question is; 277.5 ft
How to solve Angle of depression problems?The angle of depression is defined as the angle between the horizontal line of sight and the line of sight down to an object. For example, if you were standing on top of a hill or a building, and looking down at an object, you could measure the angle of depression.
The rope length can be calculated using the trigonometric ratio which is;
167/x = sin 37
x = 167/sin 37
x = 167/0.6018
x = 277.5 ft
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what kind of triangle is this?
The kind of triangle in the image above is a scalene triangle.
What is a Scalene Triangle?A scalene triangle is a type of triangle that has three sides with different lengths. It is one of the three main types of triangles, the other two being isosceles and equilateral triangles. They also have three different angles.
Scalene triangles do not have any congruent sides or angles, making them the most diverse and versatile type of triangle. They can be used to construct many different shapes and figures, and have many unique properties and characteristics that make them useful in a variety of fields, including mathematics, physics, and engineering.
In the image given, the three sides of the triangle appears to be of different sizes.
Therefore, we can conclude that the triangle is a scalene triangle.
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At a research facility that designs rocket engines, researchers know that some engines fail to ignite as a result of fuel system error. From a random sample of 40 engines of one design, 14 failed to ignite as a result of fuel system error. From a random sample of 30 engines of a second design, 9 failed to ignite as a result of fuel system error. The researchers want to estimate the difference in the proportion of engine failures for the two designs. Which of the following is the most appropriate method to create the estimate
It is solved using the concept of z-table. Correct option is: (E)
What is z-table?The difference from the mean is expressed as a z-score in standard deviation units. It is not clear either one agree or disagree with the null hypothesis. The likelihood that a point as severe as their statistic would be seen that under null hypothesis is known as the p-value.
A z-table, sometimes referred to as the standard normal table, gives the area beneath the curve to the left of a z-score. This region indicates the likelihood that z-values will fall inside a particular area of the standard normal distribution.
Here, we have to calculate the confidence interval for determine the population interval.
Now, P₁ - P₂, this is the difference between the two population proportion.
thus, option (E) is the correct answer.
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The complete question is as follows:
tyrone went to the pet store to buy 5 goldfish for his fish tank. he spent less than $15 in all to buy the fish. let x represent how much each goldfish cost. which inequality describes the problem?
Each goldfish cost less than $3.
Now, According to the question:
As per the question information:
Tyrone went to the pet store to buy 5 goldfish for his fish tank.
He spent less than $15 in all to buy the fish.
Let x represent how much each goldfish cost.
which inequality describes the problem?
5x < 15 , 5x ≤ 15
To solve the inequality :
Based on the given condition :
Formulate:
x = 15 ÷ 5
Reduce the fraction :
x = 3
Hence, Each goldfish cost less than $3.
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The given question is incomplete, the complete is :
Tyrone went to the pet store to buy $5 goldfish for his fish tank. He spent less than$15 in all to buy the fish. Let x represent how much each goldfish cost. Which inequality describes the problem?
5x < 15 , 5x ≤ 15
Solve the inequality. Then, complete the sentence to describe the solution. Each goldfish cost less than $
2.6 an srs? the leader of a student organization wishes to form a committee that will consist of 5 of the 50 members. he decides to take an srs of size five from the members and those selected will comprise the committee. he chooses an srs of size five and all are men. he would like to have some women on the task force, so he decides to take another srs. this time there are three women and two men in the sample, so he decides these five will form the committee. we can conclude the sample obtained is an srs because the final sample was obtained by simple random sampling. an srs because all members had the same chance of being in the final sample. not an srs because a sample consisting entirely of men is not allowed. not an srs because the first sample was not balanced between men and women.
We can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling. not an SRS because the first sample was not balanced between men and women
an SRS?
the leader of a student organization wishes to form a committee that will consist of 5 of the 50 members.
he decides to take an SRS of size five from the members and those selected will comprise the committee.
he chooses an SRS of size five and all are men.
he would like to have some women on the task force, so he decides to take another SRS.
this time there are three women and two men in the sample, so he decides these five will form the committee.
we can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling.
an SRS because all members had the same chance of being in the final sample.
not an SRS because a sample consisting entirely of men is not allowed.
not an SRS because the first sample was not balanced between men and women.
we can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling. not an SRS because the first sample was not balanced between men and women.
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Alonso brings $21 to the market to buy eggs and avocados. he gets eggs that cost $2.50. then, he notices that
the store only sells avocados in bags of 3 for $5. he wants to buy as many avocados as he can with his
remaining money.
let b represent the number of bags of avocados that alonso buys.
1) which inequality describes this scenario?
choose 1 answer:
2.50 + 5b < 21
b
2.50 +5b > 21
2.50 + 3b < 21
2.50 + 3b > 21
j
Answer:
£2.50+5b>21
Step-by-step explanation:
this is because a bag is b and they cost £5 so therefore it's 5b then they have to be under 21 pounds so you use the less than symbol.
The cost of a council tax bill increased by 5%.
The council tax bill increased by £62.
Work out the cost of the council tax bill before the increase
Answer:
To work out the cost of the council tax bill before the increase, we can use the formula:
Original cost = New cost / (1 + increase percentage)
We know that the council tax bill increased by 5% and the increase is £62. So the new cost of the council tax bill is £62 more than the original cost.
We can use the formula above to find the original cost:
Original cost = £62 / (1 + 0.05)
Original cost = £62 / 1.05
Original cost = £59.04
So the cost of the council tax bill before the increase was £59.04.
Potatoes cost janice $1. 00 per pound, and she has $6. 00 that she could possibly spend on potatoes or other items. Suppose she feels that the first pound of potatoes is worth $1. 50, the second pound is worth $1. 14, the third pound is worth $1. 05, and all subsequent pounds are worth $0. 30 per pound.
Janice will spend $3.00 on 3 pounds of potatoes. If she only has $3.00, she will spend it all on potatoes and purchase 3 pounds of potatoes.
a) 3 pounds of potatoes
b) 3 pounds of potatoes
What is pounds?A pound is defined as 16 ounces, 7,000 grains (or 0.45359237 kg) of avoirdupois weight and 12 ounces, 5,760 grains (or 0.37324171216 kg) of troy and apothecaries' weight. The initials "lb" come from the Latin word "libra," which was the Roman equivalent of the modern "pound."
Janice can get potatoes once the price is set. As a result, she will buy those potatoes whose value is less than her willingness to pay. Her disposition to pay is what she feels the pound of potatoes is "worth". If the worth of the primary, second, and third pounds exceeds the price of the potato ($1.50, $1.14, $1.05 > $1.00), Janice will not purchase these because the worth is less than the price. (0.30 USD 1.00 USD).
Thus, Janice will spend $3.00 on 3 pounds of potatoes. If she only has $3.00, she will spend it all on potatoes and purchase 3 pounds of potatoes.
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Factorise fully x²+X
Answer:
x(x+1)
Step-by-step explanation:
x^2+x=x(x+1)
Answer: x (x + 1)
Step-by-step explanation: Factor out the X
Go math lesson 4-2 constant rate of change. Pg 29
The equation to represent the given table is y=27x.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
From the table:
a) Proportional
2/54 = 3/81
1/27 =1/27
Yes, the number of tickets and total cost are Proportional
b) Using coordinates (2, 54) and (3, 81)
m=(81-54)/(3-2)
m=27
Substitute m=27 and (x, y)=(2, 54) in y=mx+c, we get
54=27(2)+c
c=0
Substitute m=27 and c=0 in y=mx+c, we get
y=27x
So, the equation is y=27x
c) Number of tickets are 14
d) Total cost = $378
Therefore, the equation to represent the given table is y=27x.
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A piece of a cow’s leg bone with a volume of 10 cm3 has a mass of 18 g. What is the density of the bone please answer
we roll a fair 6-sided die 5 times. what is the probability that exactly 3 of the 5 rolls are either a 1 or a 2?
Therefore , the solution of the given problem of probability comes out to be the result of adding these five times is: 5 x (1/32) = 5/32.
What does probability mean as a process?Probability theory is a branch of mathematics that deals with estimating the likelihood of an event occurring or of a claim being true. A probability is just a value between 0 and 1 and 1, with 0 approximately denoting the possibility of an event occurring and 1 denoting certainty. The likelihood or chance that an event will occur is expression numerically as a probability.
Here,
There are five options since you need one additional set and four even numbers:
5 C 4 ==5
OEEEE, EOEEE, EOEOE, EEEOE, and EEEEO
Three-sixths of the time, you'll obtain an odd number.
Three-sixths of the time, you'll obtain an even number.
As a result, the likelihood of OEEEE is (3/6)5=1/32.
This also represents the likelihood of each additional possibility.
The result of adding these five times is: 5 x (1/32) = 5/32.
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will, tim and harry are going to have dinner together. will pays for 2 pizza costing 3.75 each. tim pays for 3 desserts costing 1.09 each. tim says I´ve paid my fair share of the total cost. Find out if Tim is correct. You must justify your answer.
Answer:
To determine if Tim is correct in stating that he has paid his fair share of the total cost, we need to calculate the total cost of the dinner and compare it to the cost of the desserts Tim paid for.
Will paid for 2 pizzas at a cost of $3.75 each, for a total of 2 * $3.75 = $7.50
Tim paid for 3 desserts at a cost of $1.09 each, for a total of 3 * $1.09 = $3.27
The total cost of the dinner is $7.50 + $3.27 = $10.77
To check if Tim has paid his fair share, we need to compare the cost of the desserts he paid for ($3.27) to the total cost of the dinner ($10.77)
$3.27 is 30.3% of $10.77, meaning Tim paid for around 30% of the dinner.
In this case, it's not fair to say that Tim has paid his fair share of the total cost, since he paid for only around 30% of the dinner, and as such, this cost should be split among the three of them.
It would be more accurate to say that Tim has paid a portion of the dinner, but not his fair share.
Select the simplified polynomial, in standard form (7w^2 - 12w + 8) - (w^2+6w-2)
The simplified polynomial is 6w^2 - 18w + 10.
What is polynomial?A polynomial is an expression consisting of variables and coefficients and are used to model real-world situations. It is an equation of degree greater than one, where the exponents of the variables can be any non-negative integer. For example, the polynomial equation x2 + 3x + 2 represents a parabola when graphed. Polynomials are used in a variety of fields, such as mathematics and physics.
It is in standard form because it is written as ax^2 + bx + c, where a, b, and c are the coefficients of the terms and x is the variable. The coefficients are in decreasing order of powers of the variable, and there are no fractions or radicals in the equation.
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Observational data that contains a numerical value or amount is called: _________
Observational data that contains a numerical value or amount is called Quantitative observation.
What is observational data?
An observational study draws conclusions from a sample to a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or logistical limitations.
Observational data in market research refers to information gathered without the research subject (such as a specific client, patient, employee, etc.) having to be explicitly involved in documenting what they are doing.
An objective collection of data, quantitative observation refers to "associated to, of or depicted in terms of a quantity" and is primarily focused on numbers and values.
Methods of statistical and numerical analysis are used to derive the results of quantitative observation.
Hence, observational data that contains a numerical value or amount is called Quantitative observation.
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Whether the function is even or odd
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
An example of a rule is a function, which produces one output for a single input.
If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
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16. if you change your lights to high beam when the driver of an approaching vehicle fails to dim his lights, the probability of an accident increases because:
If blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle which is denoted as option C.
What is a Vehicle?This refers to something which is used to transport people and goods from one place to another and examples include car, lorry etc. The lights are used at night for proper vision of the road so as to reduce the risk of accidents on the road.
here,
In a situation whereby an individual is blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle so as to prevent temporary vision impairment.
This helps to prevent accidents on the road and for the safety of the driver thereby making it the correct choice.
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Solve for the missing side y
12
8
y
The missing side is 6√13 in the given right-angled triangle.
What is right-angled triangle?If one of a triangle's angles is a right angle (90 degrees), the triangle is known as a right-angled triangle or just a right triangle, according to the definition of a right triangle. Triangle ABC is a right triangle that contains the base, altitude, and hypotenuse in the example image.
Base AB, altitude AC, and hypotenuse BC are shown in this equation. The largest side and the side that faces away from the right angle in a right triangle is the hypotenuse, and it is this side that is significant.
Given that A right angle triangle has sides 12cm and 18 cm
y = [tex]\sqrt{12^2 + 18^2}[/tex]
y = 6√13
Thus, the missing side y is 6√13.
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sat math scores are approximately normally distributed, with a mean of 508 and a standard deviation of 120. skye decides to take the sat exam, and scores 920. what is the probability someone scored less than her on the sat math test?
On solving the provided question, we can say that standard deviation and mean, The equivalent ACT score is using 1.545 as the z score [tex]= > X = 1.545 * 3.9 + 19.2 = 25.5[/tex]
What is standard deviation?Standard deviation is a statistic that expresses the variability or variance of a group of numbers. While a high standard deviation suggests that the values are more dispersed, a low standard deviation suggests that the values tend to be closer to the established mean. A measure of how dispersed the data are from the mean is the standard deviation (or ). When the standard deviation is low, the data tend to be grouped around the mean, and when it is large, the data are more dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each score from the mean.
[tex]X = 0.675 * 198 + 1101 = 1235[/tex]
standard deviation and mean
[tex]X = 0.675 * 3.9 + 19.2 = 21.8[/tex]
scores 1407 standardized score z for 1407
[tex]z = (X-μ)/σ = (1407-1101)/198 = 1.545[/tex]
The equivalent ACT score is using 1.545 as the z score
[tex]= > X = 1.545 * 3.9 + 19.2 = 25.5[/tex]
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