the more powerful the motor is, the: group of answer choices greater the ability to do the work is shorter the workload is longer the time interval for doing the work is shorter the time interval for doing the work is
Answers
The more powerful the motor is, the greater the ability to do the work (option b).
A more powerful motor has a higher capacity to generate energy and produce output, allowing it to exert more force and perform work more efficiently. With greater power, the motor can overcome resistance or load with ease and accomplish tasks that may be challenging for less powerful motors.
On the other hand, the time interval for doing the work (option a) and the workload (option c) are not directly dependent on the motor's power. These factors are influenced by other variables such as the specific task, operational conditions, and the requirements of the work itself.
While a more powerful motor may complete a task faster due to its efficiency, the duration of the work and the workload are not determined solely by the motor's power.Therefore, option b, "the greater the ability to do the work is," accurately reflects the relationship between motor power and work capability.
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Related Questions
riddle#1 what belongs to you but your friends use it more
Answers
Answer:
Phone number
Step-by-step explanation:
Answer:
your name people lol...........
Question 8
Which equation has a negative slope and passes through the origin; it's proportional.
y= -5x
y = -5x - 5
y=-5
y = 5x -5
Answers
answer is y= -5x. the +0 is not there so that means it passes through the origin and -5 is the slope
Refer to the Journal of behavioural decision making (Jan. 2007) study of how guilty feelings impact decisions, Excersise 3.59 (p.142). Recall that 57 students were assigned to a guilty state through a reading/writing task. Immediately after the task, the students were presented with decision problem where the stated option has predominantly negative features. Of those 57 students ,45 choose the stated option. Suppose 10 of 57 guilty state students are selected at random. Define x as the number in the sample of 10 who chose the stated option.
A) Find p(x=5)
(B) Find p(x=8)
(C) What is the expected value (mean) of x?
Answers
A) The value of p(x=5) is 0.2017
B) The value of p(x=8) is 0.1167
C) The expected value (mean) of x7.89.
A) We are required to find P(x = 5).P(x = 5) is the probability that 5 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 5) = nCx px q(n - x)
where n = 10, x = 5, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 5) = (10C5) (0.789)5 (0.211)5= 0.2017 (rounded to four decimal places)
B) We are required to find P(x = 8).P(x = 8) is the probability that 8 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 8) = nCx px q(n - x)
where n = 10, x = 8, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 8) = (10C8) (0.789)8 (0.211)2= 0.1167 (rounded to four decimal places)
C) We are required to find the expected value (mean) of x.
Using the binomial distribution formula, we have
E(x) = np
where n = 10, and p = 45/57 = 0.789
Thus, E(x) = 10 × 0.789= 7.89 (rounded to two decimal places)
Therefore, the expected value (mean) of x is 7.89.
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A rectangular container 6.5 ft long, 3.2 ft wide and 2 ft high is filled with sand to a depth of 1.3 ft. How much sand is in the container?
Answers
Answer:
Therefore, there are 27.04 cubic feet of sand in the container.
Step-by-step explanation:
We can start by calculating the volume of the rectangular container:
Volume = length x width x height
Volume = 6.5 ft x 3.2 ft x 2 ft
Volume = 41.6 cubic feet
Since the sand fills the container to a depth of 1.3 feet, we can calculate the volume of the sand as follows:
Volume of sand = length x width x depth of sand
Volume of sand = 6.5 ft x 3.2 ft x 1.3 ft
Volume of sand = 27.04 cubic feet
Therefore, there are 27.04 cubic feet of sand in the container.
If a baseball is traveling with a horizontal velocity of 44.3 m/s and is in the air for 3.7 seconds. How far will the baseball
travel horizontally?
Answers
Answer:
163.91m
Step-by-step explanation:
Given data
Velocity= 44.3m/s
TIme= 3.7 seconds
We know that
Speed= distance/time
distance= speed * time
distance= 44.3* 3.7
distance= 163.91m
Hence the ball will travel 163.91m
1. Fill in the missing Terms for the sequence
2. Find the number the sequence is going by
3. Write the explicit formula
Answers
The answer r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.
What is Geometric progression?
A geometric progression, sometimes termed a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.
By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).
Here 1st term a = -2
4th term given is ar³= -686
r³= -686/-2
r=∛343
a) r=7
2nd term will be -14
3rd term will be -98
5th term will be -4802
b) -2, -14, -98, -686, -4802.
Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.
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Select all equations that can be used to answer the question how many rhombuses are in a trapezoid
Answers
The number of rhombuses in a trapezoid is determined through visual analysis and understanding of rhombus and trapezoid properties. It depends on the trapezoid's configuration and characteristics.
The number of rhombuses in a trapezoid depends on various factors, such as the size and proportions of the trapezoid, the arrangement of its sides and angles, and the specific conditions or constraints given. Unlike formulas or equations that can provide precise calculations or relationships, determining the number of rhombuses in a trapezoid relies on visual inspection and analysis.
To determine the number of rhombuses, one needs to examine the trapezoid's properties and identify if any subsets of its sides form rhombuses. This requires an understanding of the definition and characteristics of rhombuses, such as having all sides of equal length and opposite angles being congruent.
In summary, the question of how many rhombuses are in a trapezoid cannot be answered solely through equations. It requires a visual examination and knowledge of the properties of rhombuses and trapezoids.
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mABC = (9x – 4)°, find the value of x.
Answers
Answer:
34
Step-by-step explanation:
The largest number of the following number is ( _________) A. (101001)2 B. (2B)16 C. (52)s D. 50
Answers
The largest number among the given options is (101001)2, which is option D.
To determine the largest number among the given options, we need to convert each number into its decimal form and compare them.
A. (101001)2 A. (101001)2:
This number is in binary format. To convert it to decimal, we use the place value system. Starting from the rightmost digit, we assign powers of 2 to each bit. The decimal value is calculated by adding up the values of the bits multiplied by their respective powers of 2.
(101001)2 = 12^5 + 02^4 + 12^3 + 02^2 + 02^1 + 12^0
= 32 + 0 + 8 + 0 + 0 + 1
= 41
B. (2B)16 = 216^1 + 1116^0 = 32 + 11 = 43
C. (52)s: The base "s" is not specified, so we cannot determine its decimal value.
D. 50
Comparing the values we obtained:
41 < 43 < 50
Therefore, the largest number among the given options is 50, which corresponds to option D.
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factor a 7 from the numerator and a 6 from the denominator. this will give us the following. f(x) = 7 6 − x
Answers
To factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x, we can rewrite the expression as f(x) = 7/(6(1 - x/6)).
To factor out a common factor from a fraction, we need to find the greatest common factor of the numerator and denominator. In this case, the greatest common factor of 7 and 6 is 1, so we cannot factor it out. However, we can factor out a 6 from the denominator by dividing both the numerator and denominator by 6, which gives us f(x) = 7/6(1 - x/6). Then, we can simplify this expression by factoring out a 7 from the numerator, which gives us f(x) = 7/(6(1 - x/6)).
We can factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x by rewriting the expression as f(x) = 7/(6(1 - x/6)). This is useful for simplifying the expression and solving equations involving it.
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When John bought his new computer, he purchased an online computer help service. The help service has a yearly fee of $200 and a $25 charge for each help session he uses. If John can only spend $500 for the computer help this year, write and inequality to represent the number of help sessions he cna use this year.
Answers
500 is greater than or equal to 25x + 200
1) The sum of two numbers is 92. One eighth of the first number plus one third of the second number is 19. Find the numbers.
Answers
we have
The sum of two numbers is 92. One eighth of the first number plus one third of the second number is 19. Find the numbers.
Let
x ------> first number
y -----> second number
the algebraic expression that represent this situation is
x+y=92 ------> equation A
(1/8)x+(1/3)y=19
Multiply both sides by 24
3x+8y=456 ------> equation B
solve the system of equations
Isolate teh variable x in the equation A
x=92-y ------> equation C
substitute equation C in equation B
3(92-y)+8y=456
solve for y
276-3y+8y=456
5y=456-276
5y=180
y=36
Find the value of x
x=92-36
x=56
therefore
the numbers are 56 and 36
complete a truth table for the statements p → (q ∨ r) and ¬ (p → q). use your truth table to decide whether the following is a valid deduction rule. explain how you know. (20 points
Answers
The two statements do not satisfy a valid deduction rule.
In this case, we are given two statements, p → (q ∨ r) and ¬ (p → q), and we need to construct a truth table for them. By analyzing the truth values of these statements, we will determine if they satisfy a valid deduction rule.
Truth Table for p → (q ∨ r):
To construct the truth table for p → (q ∨ r), we need to consider all possible combinations of truth values for the propositions p, q, and r. Since there are three propositions involved, there will be 2³ = 8 rows in the truth table.
To evaluate p → (q ∨ r), we consider the following rules:
If p is true (T) and (q ∨ r) is true (T), then p → (q ∨ r) is true (T).
If p is true (T) and (q ∨ r) is false (F), then p → (q ∨ r) is false (F).
If p is false (F), then p → (q ∨ r) is true (T) regardless of the truth value of (q ∨ r).
Now that we have the truth tables for p → (q ∨ r) and ¬ (p → q), we can analyze them to determine if the given deduction rule is valid.
The given deduction rule states that p → (q ∨ r) and ¬ (p → q) should have the same truth values for all combinations of truth values of p, q, and r.
Looking at the truth tables, we can see that there are instances where p → (q ∨ r) and ¬ (p → q) have different truth values. Specifically, when p is true (T) and q is false (F), the two statements have opposite truth values.
Since there are cases where the truth values differ, the given deduction rule is not valid.
Therefore, the two statements do not satisfy a valid deduction rule.
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Evaluate the function f(x)= 3x-5 for an input of x=10.
Please help me. (lol)
Answers
Answer:
25
Step-by-step explanation:
f(x)= 3x-5
Let x= 10
f(10)= 3*10-5
= 30-5
= 25
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
.
3 in.
2 in.
b = 10 in.
Answers
Answer:
A = 32
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (3 + 10) 4
A = (3+5)4
A = (8)4
A = 32
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *
Answers
4 Wrong Answers
\(Correct = 11*4=44\)
\(Incorrect = Correct - 40 = 4\)
Graph the compound inequality.
f ≤ –0.8 or f ≥ 1.6
Answers
Answer:
f ≥ 1.6
Step-by-step explanation:
I am also learning this in school rn :)
In QRS, s = 3.1 cm, m 10th of a centimeter.
Answers
The value of q according to the given triangle measures is 3 cm.
What is Sine Rule for Traingles?
For any general triangle ABC with 3 angles A, B, and C and 3 sides a, b, and c corresponding to their opposite angle, the formula of sine is always fulfilled :
\(\frac{a}{sin A} = \frac{b}{sin B} =\frac{c}{sin C}\)
Here, we are given that :
s i.e. Side QR = 3.1 cm
Angle Q = 62 degree
Angle R = 114 degree
Firstly we need to find the third angle S using the sum of triangle angles property :
\(AngleQ + AngleR + AngleS = 180\\\)
\(Angle S = 180 - 114 - 62\)
\(= 180 - 176\)
\(= 4\)
Now, we apply the sine formula for angles Q and S :
\(\frac{q}{sinQ} = \frac{s}{sinS}\)
\(q = (sinQ) * s / (sinS)\)
\(= ( 3.1 * sin(62)) / sin(4)\)
\(= ( 3.1 * (-0.739)) / (-0.756)\)
\(= 3.03\)
Hence, the length of side RS i.e. q to its nearest 10th is 3 cm.
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Solve the following equation with variables on both sides and one side only:
\(8x + 3 - 3x = - 52\)
Answers
Answer:
How to solve your question
Your question is
8+3−3=−52
8x+3-3x=-528x+3−3x=−52
Solve
1
Combine like terms
8+3−3=−52
}=-528x+3−3x=−52
5+3=−52
−52
2
Subtract
3
33
from both sides of the equation
5+3=−52
5x+3=-525x+3=−52
5+3−3=−52−3
5x+3
5x+3−3=−52−3
3
Simplify
Subtract the numbers
Subtract the numbers
5=−55
Answer:
x= -11
Step-by-step explanation:
8x + 3 - 3x = - 52
8x - 3x = - 52 - 3
5x = -55
x = -11
james is purchasing a new pair of AirPods for $199.99. if the tax rate is 9% how much will he spend?
Answers
Answer:
200.08
Step-by-step explanation:
6 groups of 7 = 5 groups of 7 plus
Answers
Answer:
1 group of 7
Step-by-step explanation:
in the adjoining figure, ABC is a right-angled triangle, where
B = 90°, AB = 3 cm and AC
3V2 cm, find the size of ®.
Answers
Answer:
the value of theta i 45°
Help me... please....
Answers
Answer:
step one simply hope it helped!
Step-by-step explanation:
What is the answer 5x² – 33x - 14 = 0
Answers
Answer:
X=-2/5,7
Step-by-step explanation:
5x² – 33x - 14 = 0
5x^2-(35-2)x-14=0
5x^2-35x+2x-14=0
5x(x-7)+2(x-7)=0
(5x+2)(x-7)=0
X=-2/5,7
so the value of X is -2/5,7
Refer to the sequence below.
a. Describe the pattern
b. Write the next term
c. Write an explicit rule for the nth term
11.5, 11, 10.5, 10, ....
Answers
Pattern: 0.5 decreases each time
Next Term: 9.5.
Explicit Rule for the nth Term: The explicit rule for the nth term in this sequence is an = 11.5 - 0.5(n-1).
What is Explicit Rule?Explicit rule is a method of statistical inference that makes decisions based on the data from a sample. I
a. The pattern in the given set of numbers is decreasing by 0.5 each time.
b. Next Term: The next term in the sequence is 9.5
c. This means that each term is 0.5 less than the given preceding term.
To explain further, the first term in the sequence is 11.5. The second term is 11.5 - 0.5 (2 - 1) = 11. The third term is 11 - 0.5 (3 - 1) = 10.5. This pattern continues, so the fourth term is 10 - 0.5 (4 - 1) = 9.5. Therefore, the nth term in the sequence is 11.5 - 0.5 (n - 1).
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Please help I need help
Answers
Answer: e, a, f, c
Step-by-step explanation:
v evenly cuts through line tv and line VS. you can tell because the single line on each side....... rest should be correct
need help urgently!!!
Answers
The angles pairs that match each of the stated angle relationship are:
∠2 and ∠11 → alternate interior angles
∠9 and ∠16 → alternate exterior angles
∠1 and ∠10 → No relationship
∠3 and ∠5 → consecutive interior angles
∠7 and ∠15 → corresponding angles
What are Alternate Interior Angles?Alternate Interior angles are angles that are found lying inside different parallel lines that are crossed by a transversal but on alternate sides along the transversal.
What are Alternate Exterior Angles?Alternate exterior angles are similar to alternate interior angles, but are angles that lie outside different parallel lines that are crossed by a transversal but on alternate sides along the transversal.
What are Corresponding Angles?Angles that are referred to as corresponding angles are angles that are at relative corners on different parallel lines that are cut across by a transversal.
The angles named in the image above can be marched as follows:
∠2 and ∠11 → alternate interior angles
∠9 and ∠16 → alternate exterior angles
∠1 and ∠10 → No relationship
∠3 and ∠5 → consecutive interior angles
∠7 and ∠15 → corresponding angles
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a game consists of randomly choosing a bag labelled 1 2 or 3 out of a choice of 100 and then again randomly picking a ball(red or black) from it. Each bag has the same total number of balls(10). Work out the probability that the player will select a red ball.
Answers
Answer:
.44
Step-by-step explanation:
Follow the path for each red
Add the probabilities for each one
Bag 1 = .35*.6
Bag 2 = .45*.2
Bag 3 = .2*.7
P(red) = .35*.6 + .45* .2 + .2 *.7
= .44
Answer:
.44
Bag 1= .35 .6
Bag 2= .45.2
Bag 3= .2 .7
P(red)= .35 .6 + .45 .2 + .2 .7
Step-by-step explanation:
how many 1/3 minutes are there in 5 minutes
Answers
Answer: 15
Step-by-step explanation:
3 1/3ds in 1 minute, multiply 3 by 5
Answer:
15
Step-by-step explanation:
15 thirds contain 5 integers:
\(\frac{5}{\frac{1}{3} } =\frac{(5)(3)}{1} =\frac{15}{1} =15\)
Hope this helps
compare using <,>, or = 4/9 5/10
Answers
Given data:
The first number is 4/9.
The second number is 5/10.
The first number can be written as,
\(\begin{gathered} \frac{4}{9}=\frac{4\times10}{9\times10} \\ =\frac{40}{90} \\ \end{gathered}\)The second number can be written as,
\(\begin{gathered} \frac{5}{10}=\frac{5\times9}{10\times9} \\ =\frac{45}{90} \end{gathered}\)Now compare both numbers as they have same denominator.
\(\begin{gathered} \frac{40}{90}<\frac{45}{90} \\ or \\ \frac{4}{9}<\frac{5}{10} \end{gathered}\)Thus, the < symbol must be used between both n