Answer:
Symmetric property of equality
Step-by-step explanation:
The symmetric property of equality states values are still equal no matter which side of the equal sign they're on.
Calculate the first and second velocities of the car with three washers attached to the pulley, using the formulas v1 = 0. 25 m / t1, and v2 = 0. 25 m / (t2 – t1) where t1 and t2 are the average times the car took to reach the 0. 25 and the 0. 50 meter marks. Record these velocities, to two decimal places, in Table E. What is the first velocity of the car with three washers at the 0. 25 meter mark? m/s What is the second velocity of the car with three washers at the 0. 50 meter mark? m/s.
The first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.
Given data:
The value of the first distance is, d1 = 0.25 m.
The value of the second distance is, d2 = 0.50 m.
What is velocity?The ratio of distance covered by an object in a specific direction and the time taken to cover the distance is known as the velocity of the object. Mathematically, the expression for the velocity is,
v = d/t
Here, d is the distance covered.
And t is the average time taken to cover the distance.
Then the first velocity of the car at 0.25 m is,
v1 = d1/t1
v1 = 0.25 / t1
Here, t1 is the average time for the first distance.
And the second velocity of the car with four washers at the 0. 50 m mark is,
v2 = d2/t2
v2 = 0.50 /t2
here, t2 is the average time for the second distance.
Thus, we can conclude that the first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.
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The GCF of 304 and 980 using any method
Answer:
1)Find the prime factorization of 304
304 = 2 × 2 × 2 × 2 × 19
2)Find the prime factorization of 980
980 = 2 × 2 × 5 × 7 × 7
3)To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2
GCF = 4
to log on to a certain computer account, the user must type in a 5-letter password. in such a password, no letter may be repeated, and only the lower case of a letter may be used. how many such 5-letter passwords are possible? (there are 26 letters in the alphabet.)
The number of possible 5-letter passwords using permutations and combinations is 7893600.
To construct a five-letter password with no repetitions and just lowercase letters
Use any letter from A to Z = 26 for the initial letter.
Except for the initial letter for the second letter = 25, Select any letter from A to Z.
Except for the first and second letters, Select any letter from A to Z; the third letter Equals 24.
Except for the first, second, and third letters, Select any letter from A to Z for the fifth letter = 22
Number of potential 5-letter password permutation and combinations = 26 × 25 × 24 × 23 × 22 = 7893600
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Can anyone help me on this question? Plese asap
Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians. )
csc2(x) + 6 csc(x) − 7 = 0
The solutions to the equation \(csc2(x) + 6 csc(x) − 7 = 0 are x = π/2, (2n+1)π/2, (2n+1)π + arcsec(-6)\) and \((2n+1)π - arcsec(-6).\)
The equation \(csc2(x) + 6 csc(x) − 7 = 0\) can be rewritten as \(csc(x)(csc(x) + 6) − 7 = 0\). Factorizing the equation we have
Now, solving for csc(x) = 0, we have csc(x) = 0. This implies that x = π/2 or (2n+1)π/2, where n is an arbitrary integer.
Similarly, solving for\(csc(x) + 6 = 0\), we have csc(x) = -6. This implies that \(x = (2n+1)π + arcsec(-6) or (2n+1)π - arcsec(-6)\), where n is an arbitrary integer.
Therefore, the solutions to the equation\(csc2(x) + 6 csc(x) − 7 = 0 are x = π/2, (2n+1)π/2, (2n+1)π + arcsec(-6) and (2n+1)π - arcsec(-6).\)
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Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second
The probability that Lola pulled a red marble first and a yellow marble second is 0.134 or approximately 13.4%.
To calculate the probability that Lola pulls a red marble first and a yellow marble second, we can use the formula:
P(Red, Yellow) = P(Red) x P(Yellow|Red)
where P(Red) is the probability of pulling a red marble first, and P(Yellow|Red) is the conditional probability of pulling a yellow marble second given that a red marble was pulled first.
First, we can calculate P(Red):
P(Red) = number of red marbles / total number of marbles
P(Red) = 4 / (4 + 4 + 12)
P(Red) = 4 / 20
P(Red) = 0.2
So the probability of pulling a red marble first is 0.2.
Next, we can calculate P(Yellow|Red):
P(Yellow|Red) = number of yellow marbles remaining / total number of remaining marbles
P(Yellow|Red) = 12 / (4 + 3 + 11)
P(Yellow|Red) = 12 / 18
P(Yellow|Red) = 0.67
So the probability of pulling a yellow marble second given that a red marble was pulled first is 0.67
Now we can use the formula:
P(Red, Yellow) = P(Red) x P(Yellow|Red)
P(Red, Yellow) = 0.2 x 0.67
P(Red, Yellow) = 0.134
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An oil tank is being filled at a constant rate. The depth of the oil is a function of the number of minutes the tank has been filling, as shown in the table. Find the depth of the oil 45 minutes after filling begins. Time(min) Depth(ft) 0: 3 10:5 15:6 45 minutes after filling begins, the depth of the oil is feet.
An oil tank is being filled at a constant rate.
In 0 minute, the depth of oil in the tank is 3, : (0,3)
In 10 minute, the depth of oil in the tank is 5, : ( 10, 5 )
In 15 minutes, the depth of oil in the tank is 6, : ( 15, 6 )
Since, the oil is filled at the constant rate, so the equation form by the depth of oil with the time is linear equation.
The general expression for the linear equation is :
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)Let x express the time and y express the depth of oil
Substitute any two set of value of time and depth from the table : ( 0, 3) & ( 10, 5 )
\(\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-3=\frac{5-3}{10-0}(x-0) \\ y-3=\frac{2}{10}x \\ y-3=\frac{1}{5}x \\ 5(y-3)=x \\ 5y-15=x \\ x-5y+15=0 \end{gathered}\)Since, we need to depth of the oil after, 45 minutes,
Substitute x = 45 in the equation :
\(\begin{gathered} x-5y+15=0 \\ 45-5y+15=0 \\ 60-5y=0 \\ 5y=60 \\ y=\frac{60}{5} \\ y=12 \end{gathered}\)as, y represent the depth of the oil
so, depth of the oil is 12 ft in 45 minutes
45 minutes after filling, the depth of the oil is 12 ft
Answer : 45 minutes after filling, the depth of the oil is 12 ft
Help me on this we have to choose all the possible ones for that angle
Answer:
Adjacent and complementary angle
hope it helps and your day will be full of happiness
Which equation represents a line which is parallel to the line 7y-4x=-141. y= 7/4x+22. y = 4/7x-13. y = -7/4x+64. y = -4/7x-3
The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.
We are given the line 7y-4x=-14, let's organize the equation like the general form:
\(\begin{gathered} 7y-4x=-14 \\ 7y=4x-14 \\ y=\frac{4}{7}x-2 \end{gathered}\)In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.
Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.
By looking at the answer options, we can select the second option y= 4/7x-1
Write the equation in slope-intercept form. Then identify the slope and the y-intercept.
6x + 2y = 10
Slope formula - y = mx + b
6x + 2y = 10
subtract x
2y = 10 - 6x
divide all by 2
y = 5 - 3x
y = -3x + 5
5 is the y-intercept, and -3x is the slope
hope this helps :)
You're designing a study and want to know the sample size needed to achieve a confidence interval for the population proportion with a given margin of error at a given confidence level. Although there have been previous studies like the one you're conducting, you think the population proportion has changed significantly, and you don't know what value to use for p*. How should you go about finding the sample size needed to achieve your desired margin of error?
In order to determine the sample size needed to achieve a desired margin of error for the population proportion, you will need to use a formula that takes into account the confidence level, the margin of error, and an estimate of the population proportion (p*).
However, since you do not have a reliable estimate of p*, you can use a conservative estimate of 0.5 to calculate the sample size. This will ensure that you have a large enough sample size to capture any changes in the population proportion, while still maintaining a reasonable level of precision in your estimate. Once you have collected your data, you can use the sample proportion as an estimate of the population proportion in any subsequent analyses.
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The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with =σ$5100. Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.What is the probability that a randomly selected teacher's salary is greater than $37,800?=P>X37,800
ANSWER
0.3228
EXPLANATION
We want to find,
\(P(X>37800)\)But since X is normally distributed, we have to find the z-score for a standard normal distribution,
\(z=\frac{x-\mu}{\sigma}=\frac{37800-35441}{5100}\approx0.46\)So the probability we can find in the standard normal distribution table is,
\(P(Z>0.46)\)In the z-score table, we have to find z = 0.46,
The table shows the probability that z is less than that value. We want to find the probability that z is greater than that value. This is,
\(P(Z>0.46)=1-P(Z<0.46)=1-0.6772=0.3228\)The probability that a teacher's salary is greater than $37,800 is 0.3228.
Steven’ new cell phone plan charge a flat monthly fee of $24. The plan allow an unlimited number of text meage, but each minute (m) ued for phone call cot $0. 15. Which equation mot accurately repreent the monthly cot (c) of Steven’ phone bill baed on how many minute talked?
As a new cell phone plan charges a flat monthly fee of $24 and allows for an unlimited number of text messages, but charges $0.15 per minute (m) used for phone calls, the equation that will represent the problem is C=24+0.15m.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Let m be the minutes talked on phone,
C=24+0.15m
The problem is represented by the equation C=24+0.15m since the new cell phone plan charges a fixed monthly fee of $24 and permits unlimited text messages, but each minute (m) utilized for phone calls costs $0. 15.
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When you cut a pyramid straight up and down, what shape is your cross section?
Answer:
The cross section of a pyramid that is perpendicular to the base will be a triangle.
Step-by-step explanation:
Write ap text-style pseudocode for a linear search that searches through a list to find an item x. It should display found if the x is equal to an item in the list.
list <- value, value, value, value
x<-value
FOR EACH item IN the list
{
IF item=x
display "found"
}
Pseudocode is an informal manner of programming description that does not require any strict programming language syntax or underlying era concerns. it is used for growing an outline or a rough draft of a program. Pseudocode summarizes an application's flow but excludes underlying info.
Pseudocode is a synthetic and casual language that facilitates programmers' to increase algorithms. Pseudocode is a "text-primarily based totally" element (algorithmic) layout device. The policies of Pseudocode are fairly straightforward. All statements showing "dependency" are to be indented. the Python pseudocode is a syntax-loose representation of code. So, the Python pseudocode no longer involves any code in it. The Python pseudocode should be a very near illustration of algorithmic good judgment.
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Simplify the following: (2a+3b)^3
A linear function contains the following points. ху 0-1 3 8 What are the slope and y-intercept of this function?
A- The slope is 1/3
The y-intercept is (0,-1).
B- The slope is 3
The y-intercept is (-1,0).
C- The slope is 3
The y-intercept is (0,-1).
D- The slope is -3
The y-intercept is (0,-1).
Answer:
it's c the slop is 3 your welcome
In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such that ATC = 40° and BTC = 56°. If BT is 29 m longer than AT, find
(a) the height of the building,
(b) the distance AB.
Answer:
(a) The height of the building is 60.06 m
(b) The distance AB is 139.43 m
Step-by-step explanation:
The given parameters are
Given that segment BT = segment AT + 29
By trigonometric ratios, we have;
cos∠ATC = CT/AT
cos∠BTC = CT/BT
Therefore, we have;
cos(40°) = CT/AT.................................(1)
cos(56°) = CT/BT = CT/(AT + 29).....(2)
cos(56°) = CT/(AT + 29)......................(3)
From equation (1)
CT = AT×cos(40°)
From equation (3)
AT×cos(56°) + 29 × cos(56°) = CT
Therefore;
AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)
AT×cos(40°) - AT×cos(56°) = 29 × cos(56°)
AT×(cos(40°) - cos(56°)) = 29 × cos(56°)
AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m
TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m
The height of the building = 60.06 m
(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m
AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) = 139.43 m
The distance AB = 139.43 m.
What is the value of x?
I NEED AN ANSWER ASAP!!
Answer:
x = 8
Step-by-step explanation:
Equilateral triangle : congruent angles
3(7x+4) = 180
21x + 12 = 180
21x = 180-12
x = 168/21
x = 8
Help me pls. Thanks!
Answer:
Price per carton * number of cartons
Step-by-step explanation:
dont have time to write it all here
Answer:
C
Step-by-step explanation:
Price per carton × number of cartons
Jaime wrote 4.4-0.33=1.1 .Is his answer reasonable why or why not?
Answer: No it would be 4.07
=1.1
Step-by-step explanation: Subtract 0.33 from 4.4
Which statements are true for both y=cosθ and y=sinθ? Select all that apply.
The statements which are true for both trigonometric equations y = cos (θ) and y = sin (θ) are:
the function is periodic
the function has a value of about 0.71 when θ = π/4
the maximum value is 1.
The given trigonometric equations are,
y = cos (θ) and y = sin (θ)
The maximum value of sin (θ) = 1 which occurs at θ = 90°, not at θ = 0.
Both the functions sine and cosine are periodic since for both,
f(x) = f(x + θ)
Value of sin (π/4) = cos(π/4) = 1/√2 = 0.707 ≈ 0.71
Maximum value of both functions are 1.
Hence the three statements except first are correct for both.
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The complete question is given below.
We measure volume in:
O cubic units
O square units
What values of x satisfy this inequality? 7 − 2x ≤ 0
∈Answer:
x ≥ 7/2
Step-by-step explanation:
-2x + 7 ≤ 0
(-2x + 7) + (-7) ≤ -7
-2x + 7 - 7 ≤ -7
-2x ≤ -7
2x/2 ≥ 7/2
x ≥ 7/2
x ∈ [7/2,∞)
1. What does God look like?
2. What came first, the chicken or the egg?
3. Where do you go when you die?
4. What are black holes?
5. Why is water wet?
6. Why do people die?
7. How did the world begin?
8. Where do babies come from?
9. Why is the sea salty?
10. Why is the moon sometimes out in the day?
11. How does the internet work?
12. Why is the sky blue?
13. Where does wind come from?
14. Why do we have a leap year?
15. What makes the Earth spin?
16. Why is blood red?
17. What is infinity?
18. How big is the world?
19. Why doesn't the sky fall down?
20. Why does cutting onions make you cry?
21. How do planes fly?
22. How do telephones work?
23. How does TV work?
24. Why am I right/left handed?
25. What is electricity?
26. How do clouds float?
27. How does the car work?
28. How do the sun and moon stay in the sky?
29. Why are people's eyes different colours?
30. How does lightning strike?
Answer: here are my answers.
Step-by-step explanation: Here are some brief answers to your questions:
1. The appearance of God is a matter of personal belief and varies across different religions and cultures.
2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.
3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.
4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.
5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.
6. People die due to a variety of factors, including disease, injury, and aging.
7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.
8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.
9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.
10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.
11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.
12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.
13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.
14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.
15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.
16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.
17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.
18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).
19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.
20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.
21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.
22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.
23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.
24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.
25. Electricity is a form of energy caused by the movement of electrons through a conductor.
26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.
27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.
28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.
29. The color of a person's eyes is determined by the amount and type of pigments in the iris.
30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.
In observational studies, the variable of interest ?
a. is not controlled b. is controlled c. cannot be numerical d. must be numerical.
In observational studies, the variable of interest option (a) is not controlled
In observational studies, the variable of interest refers to the data that is being collected and analyzed. It is a specific factor or phenomenon that researchers are looking to gain insight from.
The variable of interest is not controlled by the researcher, meaning that the researcher does not influence the data or manipulate the results in any way; rather the researcher simply observes the data and the phenomenon. The variable of interest could be numerical or non-numerical.
If the interest is in the correlation between gender and academic performance, then this is a non-numerical variable, as gender is not a numerical value.
However, if the interest is in the correlation between hours spent studying and grade point average, then this is a numerical variable, as grade point average is a numerical value.
Therefore, option (a) is the right choice.
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what is 3/4 of 1/2?________
2 fractions with different denominators that add up to 6 1/3
The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.
First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.
Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.
Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:
1/2 = 3/6
x/6
Now we need to find the value of x that makes the sum of the fractions equal to 19/3:
3/6 + x/6 = 19/3
To solve for x, we can multiply both sides by 6:
3 + x = 38/3
Then, we can subtract 3 from both sides:
x = 29/3
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In parallelogram ABCD, what is the measure of z°?
115
60
65
180
Answer:
115
Step-by-step explanation:
angle A + angle D= 180 degrees
65+z=180
subtract 65 from both sides
z=115
Answer:
115
Step-by-step explanation:
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y = -3 ÷ 2x - 3
Step-by-step explanation:
As it can be seen that the line is passed by y-axis at -3.
Now we have to determine the slope
For this, use the following formula
= (x2 - x1) ÷ (y2 - y1)
At
(-2, 0), (0, -3)
So,
= (-3-0) ÷ (0+2)
= -3 ÷ 2
Now
Put in the following equation
y = mx + b.
where,
m = slope
b = y-intercept
So,
y = -3 ÷ 2x - 3