Nicole needs to spend at least 4 hours each week practicing the guitar. she has already practiced two and one third hours this week. she wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours she needs to practice on each of the 2 days. two and one third 2x ≥ 4 two and one third 2x ≤ 4 two and one thirdx 2 ≤ 4 two and one thirdx 2 ≥ 4

Answers

Answer 1

According to the given statement  an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.

The correct option is A.

What are the three types of inequality ?

The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.

Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.

Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.

Inequality of wealth.

According to the given data:

Given,

How many hours she has already practiced= , 2/3

She also wants to train for another two days, putting up equal hours each day.

Let x be the number of hours she practised each day.

As a result, the total number of hours kate practiced in two days was = 2x

As a result, the total amount of time she practiced = 2/3 + 2x

If she wishes to practice for at least four hours,

2/3 + 2x  ≥ 4

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I understand that the question you are looking for is:

Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.

A. two and one third + 2x ≥ 4

B. two and one third + 2x ≤ 4

C. two and one third x + 2 ≤ 4

D. two and one third x + 2 ≥ 4


Related Questions

convert the following to fraction :
i) 7.028
ii) 3.432
plz solve ​

convert the following to fraction :i) 7.028ii) 3.432plz solve

Answers

Answer:

467y6y

66 43

T68999

56 9

Step-by-step explanation:

Gftghhcryihfghobfascho

The following cone has a slant height of 17
cm and a radius of 8
cm.

What is the volume of the cone?
Responses

480π
320π
544π

Answers

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)

Answers

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

2x-9y=26
6x-2y=-22
solve by substitution step by step please

Answers

The values of x and y are 31 and 4 respectively

How to solve the equation

Given the expressions as;

2x-9y=26       (1)

6x-2y=-22      (2)

Make 'x' the subject from (1)

2x = 26 + 9y

x = 26 + 9y/ 2         (3)

Substitute value of x into (2)

6x-2y=-22

6 ( 26 + 9y/ 2) - 2y = -22

expand the bracket

156 + 54y/ 2 - 2y = -22

Find the LCM

156 + 54y - 4y  / 2 =-22

cross multiply

156 + 54y - 4y = -44

collect like terms

50y = -44 - 156

50y = 200

y = 4

Substitute y = 4 in (3)

x = 26 + 9y/ 2

x = 26 + 9(4)/ 2

x = 62/ 2

x = 31

Thus, the values of x and y are 31 and 4 respectively

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what is 4.75=X+60.25)

Answers

Answer:

x=-55.5

Step-by-step explanation:

A probability distribution has a mean of 70 and a standard deviation of 8. Use Chebyshev's inequality to find the minimum probability that an outcome is between 42 and 98. (Round your answer to four decimal places.)

Answers

The minimum probability that an outcome falls between 42 and 98, according to Chebyshev's inequality, is at least 0.9184 (or 91.84% when expressed as a percentage).

Chebyshev's inequality states that for any probability distribution, the minimum proportion of values within k standard deviations of the mean is at least 1 - 1/k^2.

In this case, we are given that the mean (μ) of the distribution is 70 and the standard deviation (σ) is 8. We want to find the minimum probability that an outcome falls between 42 and 98, which corresponds to a range of 56 units.

To apply Chebyshev's inequality, we need to determine the value of k. Since we want to find the minimum probability, we want to maximize the range by setting k to its minimum value.

We can use the formula k = (x - μ) / σ, where x is the range we are interested in. Substituting the values, we have:

k = (98 - 70) / 8 = 3.5

Now we can use Chebyshev's inequality to find the minimum probability:

P(|X - μ| ≤ kσ) ≥ 1 - 1/k^2

P(42 ≤ X ≤ 98) ≥ 1 - 1/(3.5)^2

P(42 ≤ X ≤ 98) ≥ 1 - 1/12.25

P(42 ≤ X ≤ 98) ≥ 1 - 0.0816

P(42 ≤ X ≤ 98) ≥ 0.9184

Therefore, the minimum probability that an outcome falls between 42 and 98, according to Chebyshev's inequality, is at least 0.9184 (or 91.84% when expressed as a percentage).

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If 5 lemons cost 1.80 how much does 1 lemon cost?

Answers

Answer:

$0.36 each

Step-by-step explanation:

divide 1.80/5 to see how much each individual lemon costs (u can check it by multiplying 0.36 x 5 and see that u get 1.80)

Answer: 36 cents

Step-by-step explanation:if 5 cost 1.80 and you are looking for the price of one. All you do is divide

State the variable term(s) in the equation 2p + 4 = -5 - P.​

Answers

Answer:

p=−3

Step-by-step explanation:

Let's solve your equation step-by-step.

2p+4=−5−p

Step 1: Simplify both sides of the equation.

2p+4=−5−p

2p+4=−5+−p

2p+4=−p−5

Step 2: Add p to both sides.

2p+4+p=−p−5+p

3p+4=−5

Step 3: Subtract 4 from both sides.

3p+4−4=−5−4

3p=−9

Step 4: Divide both sides by 3.

3p/3 = −9 /3

p=−3

Answer:

p=−3

please mark me brainliest!

Answer:

p=-3

Step-by-step explanation:

move the 5 to the left to get 2p + 9 = -p.  Then move the 2p to the right to get 9 = -3p.  Divide both sides with -3 and p = -3

Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees. What is the measure of minor arc ? 17° 75° 149° 211°

Answers

Answer:

149

Step-by-step explanation:

JUST TOOK TEST

Answer:

149

Step-by-step explanation:

A(7-1), B(6, 4) and C(5, 5) are three
points in a plane.
1). Find the equations of the
perpendicular bisectors of AB and AC
(ü) Determine the point of
intersection of the perpendicular
bisectors in (i).
(WAEC)​

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation of the line passing through two points is given by:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\)

The equation of line AB is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{4-(-1)}{6-7}(x-7)\\\\y+1=-5(x-7)\\y+1=-5x+35\\y=-5x+34\)

The midpoint of two lines is given as:

\(x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+6}{2}=6.5, y=\frac{-1+4}{2}=1.5\\ = (6.5,1.5)\)

The equation of line AC is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{5-(-1)}{5-7}(x-7)\\\\y+1=-3(x-7)\\y+1=-3x+21\\y=-3x+20\)

The midpoint of two lines is given as:

\(x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+5}{2}=6, y=\frac{-1+5}{2}=2\\ = (6,2)\)

The product of the slope of a perpendicular bisector of a line and the slope of the line is -1. That is m1m2 = -1

The slope of the perpendicular bisector of AB is:

m(-5)=-1

m=1/5

The equation of the perpendicular bisector of AB passing through (6.5,1.5) is:

\(y-y_1=m(x-x_1)\\y-1.5=\frac{1}{5}(x-6.5)\\y=\frac{1}{5} x-8.25\)

The slope of the perpendicular bisector of AB is:

m(-3)=-1

m=1/3

The equation of the perpendicular bisector of AB passing through (6,2) is:

\(y-y_1=m(x-x_1)\\y-2=\frac{1}{3}(x-7)\\y=\frac{1}{3} x-4.33\)

2) The point of intersection is gotten by solving y = 1/5 x -8.25 and y = 1/3 x-4.33 simultaneously.

Subtracting the two equations from each other gives:

0= -0.133x - 3.92

-0.133x = 3.92

x = -29.5

Put x = -29.5 in y = 1/5 x -8.25 i.e:

y = 1/5 (29.5) -8.25

y = -14.16

The point of intersection is (-29.5, -14.16)

Question 1 (10 points)
07.01 MC)
Part A: Explain why x = 5 makes 4x-1 s 19 true but not 4x-1 <19. (5 points)
Part B: What value from the set (6, 7, 8, 9, 10) makes the equation 5x+2=47 true? Show your work. (5 points)



GIVE EXPLANATION PLEASE ALONG WITH THE ANSWER

Answers

Answer:

7.4,000

8.23,000

9.1,000

Step-by-step explanation:

I'm teacher

osslyn is thinking of a number, n and she wants her sister to guess the number. Her first clue is that eight less than two times her number is between two and six (inclusive). Write a compound inequality that shows the range of numbers that Josslyn might be thinking of.

Answers

The required number that is guessed  is 2x - 8 where inequality  2 < x < 6.

Given that,
Osslyn is thinking of a number, n.
Her first clue is that eight less than two times her number is between two and six (inclusive).
To write a compound inequality that shows the range of numbers that Josslyn might be thinking of.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the number be x,
According to the question,
Gusset number = 2x - 8,   where x is between 2 and 8 implies
2 < x < 6

Thus, the required number that is guessed  is 2x - 8 where inequality  2 < x < 6.

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The area of a typical eardrum is about 5.00 10-5 m2. (a) Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. 5e-5 Correct: Your answer is correct. W (b) How much energy is transferred to the eardrum exposed to this sound for 4.10 min

Answers

Answer:

5 * 10^-5 W

1.23 * 10^-2 J

Step-by-step explanation:

Given that :

Area = 5 * 10^-5 m²

Threshold of Pain = Intensity = 1.00 W/m2

Using the relation:

Intensity = power / Area

Hence,

Power = Intensity * Area

Power = 1 W/m² * 5 * 10^-5 m²

Power = 5 * 10^-5 W

Energy transferred to eardrum. Exposed for 4.10 minutes :

Using the relation :

Energy = Power * time

Energy = 5 * 10^-5 * (4.10 * 60 seconds)

Energy = 5 * 10^-5 W * 246 s

Energy = 0.0123

= 1.23 * 10^-2 J

You deposit $500 into a savings account. You will earn 3% interest per year. If you are earning simple interest, how much money will you have in your bank account after 5 years?

Answers

Answer:

$575 after 5 years

Step-by-step explanation

3% of 500= 15

15 × 5= 75

500 + 75= $575

If you have a polygon with a number of sides, n, that does not have a special name like triangle or nonagon, what do you call it?

Answers

A polygon with n sides is simply referred to as an n-gon.

A polygon with n sides is simply referred to as an n-gon. This naming convention allows for any polygon to be easily identified based on the number of sides it has, without the need for a specific name for every possible number of sides.

For example, a polygon with 3 sides is called a triangle, a polygon with 4 sides is called a quadrilateral, while a polygon with 5 sides is called a pentagon. However, for polygons with sides greater than 12, the names become less commonly used, and n-gon is often used instead as a general term to describe any polygon with n number of sides.

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A polygon with a number of sides, n, that does not have a special name is typically referred to as an "n-gon".

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges. Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. A circle is a plane figure as well, but it isn't regarded as a polygon because it's curved and lacks sides and angles. So, while all polygons are two-dimensional shapes, not all two-dimensional figures are polygons.

For example, a polygon with 5 sides would be called a pentagon, but a polygon with 7 sides would simply be called a heptagon or a 7-gon.

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Solve for Q
8q+12=4(3+2q)

Answers

Answer:

q = infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

8q + 12 = 4(3 + 2q)

Step 2: Solve for q

Distribute 4: 8q + 12 = 12 + 8qSubtract 8q on both sides: 12 = 12

--------------------------------------------------------------

Distribute 4: 8q + 12 = 12 + 8qSubtract 12 on both sides 8q = 8qDivide both sides by 8: q = q

We see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.

Step 3: Check

Plug in q to verify it's a solution.

8(0) + 12 = 4(3 + 2(0))

0 + 12 = 4(3 + 0)

12 = 4(3)

12 = 12

8(1) + 12 = 4(3 + 2(1))

8 + 12 = 4(3 + 2)

20 = 4(5)

20 = 20

We also see in the check step that any value q works.

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

We have,

To solve for Q in the equation 8q + 12 = 4(3 + 2q), we can follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses:

8q + 12 = 4 * 3 + 4 * 2q

Simplifying further:

8q + 12 = 12 + 8q

Step 2: Combine like terms on both sides of the equation:

8q + 12 = 12 + 8q

Step 3: Subtract 8q from both sides of the equation to isolate the q term:

8q - 8q + 12 = 12 + 8q - 8q

Simplifying further:

12 = 12

Step 4: Since both sides of the equation are equal, the equation is true for all values of q.

This means the solution is all real numbers.

Therefore,

The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.

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Find all values of $x$ such that 9+27/x+8/(x^2)=0

Answers

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

The mass of Earth is 5.97 >< 1024 kilograms. The mass of the Moon is 7.34 x 1022 kilograms. What is the combined mass of Earth and the Moon? Express your answer in scientific notation. i need to show my work pleas help

Answers

Answer:

7.34x10^22 kg can also be written as 0.0734 * 10^24 kg

Since both numbers are * 10^24, you can just add 5.97 + 0.0734 = 6.043. Then you have to add the * 10^24 giving you 6.043 * 10^24 kg

The ratio of Earth / moon is 5.97x10^24 / 7.34x10^22 = 81. The mass of the Earth is 81 times the mass of the moon.

Step-by-step explanation: give me brainliest please :)

True or False: For a given mass of rising air, the dry adiabatic rate will always be higher than the wet adiabatic rate.

Answers

Answer:

true

Step-by-step explanation:

because there's less humidity

IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image. The slope is 7.5x

b. 1 = 7.5x

x = 1.33333…

This is hours so we must multiply this by 60

x = 8 min
IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS The distance your friend travels in y (miles) running x hours


The length of a rectangle is three times the width. The perimeter of the rectangle
is 40 inches. What is the area of the rectangle (in square inches)

Answers

Answer:

The length of the rectangle: 3x

The width of the rectangle: x

Theres 2 lengths and 2 widths for every rectangle.

So the full perimeter is 3x+x+3x+x = 8x

8x;

= perimeter

= 40 inches

8x=40

x=40/8

x=5 inches

Length is 3x, substitute in for x

l = 3(5)

l = 15

Answer:29

Step-by-step explanation:

On Saturday morning Wendy watched 1 1/2 hours of her favorite show on television during the shows there were 18 commercials what is the unit rate of commercials per hour 

Answers

The unit rate of commercials per hour is 12 commercials per hour

How to determine the unit rate of commercials per hour?

From the question, we have the following parameters that can be used in our computation:

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

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Answer: 12

Step-by-step explanation: The unit rate of commercials per hour is 12 commercials per hour

How to determine the unit rate of commercials per hour?

From the question, we have the following parameters that can be used in our computation:

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

Suppose that you can compute, store, and check for collisions 2,000,000 in- stances of SHA-3 (SHA3-256) in one second (this would require a lot of resources). How long do you have to run such a computation to have a probability at least 1/100,000 of finding a collision

Answers

This is an incredibly long time, equivalent to about 111,000,000 years!  even with the ability to compute, store, and check for collisions at a rate of 2,000,000 instances per second, finding a collision in SHA3-256 with a probability of at least 1/100,000 is practically impossible.

The probability of finding a collision in a hash function with n-bit output, such as SHA3-256, is roughly proportional to the square root of the number of possible hash values is \(2^{(n/2)\).

SHA3-256, n is 256, so the number of possible hash values is

\(2^{(256/2)} = 2^{128.\)

Let t be the number of seconds we need to run the computation. In one second, we can compute 2,000,000 instances of SHA3-256.

In t seconds, we can compute 2,000,000t instances of SHA3-256.

The number of pairs of hash values that we can generate from 2,000,000t instances is

(2,000,000t choose 2) = (2,000,000t) × (2,000,000t - 1)/2.

To have a probability of at least 1/100,000 of finding a collision, we need the number of pairs of hash values to be at least 100,000 times the number of possible hash values, which is:

(2,000,000t) × (2,000,000t - 1)/2 >= 100,000 × 2¹²⁸

Simplifying and solving for t, we get:

\(t > = \sqrt{((100,000 \times 2^{128})/(2,000,000)^2 - 1/2,000,000)} \approx 3.52 \times 10^{15} seconds\)

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The probability at least 1/100,000 of finding a collision is 2.12 x \(10^{29\) seconds is approximately \(6.73 x 10^{21\) years

In cryptography, a collision occurs when two different inputs produce the same hash output.

The probability of finding a collision increases as the number of inputs increases, and this is what we want to calculate.
Assuming we can compute, store, and check for collisions 2,000,000 instances of SHA-3 (SHA3-256) in one second, we can compute the number of possible inputs that can be hashed in a given time frame.

If we assume a year contains 31,536,000 seconds, then in one year we can compute:
2,000,000 * 31,536,000 = 63,072,000,000,000
That is 63.07 trillion inputs hashed in one year.
Next, we need to calculate the probability of finding a collision among all these inputs.

To do this, we can use the birthday paradox formula, which states that the probability of finding a collision in a set of n items is approximately \(n^2\)/\(2^{(k+1)\).

Where k is the number of bits in the hash output.

For SHA3-256, k = 256.
So, the probability of finding a collision in our set of hashed inputs is:
63,072,000,00 / 2(256+1) = 0.01266
This is an extremely small probability, which means it would take a very long time to find a collision with a probability of at least 1/100,000.

In fact, we would need to compute and store billions of times more hashes than what we can currently achieve in a year.
Therefore, to answer your question, we can say that even with the ability to compute, store, and check for collisions 2,000,000 instances of SHA-3 (SHA3-256) in one second, it would take an impractical amount of time to find a collision with a probability of at least 1/100,000.

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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 9 minutes long. If Colby's video is 176 minutes long, how many skits are in his video?

Answers

Answer:

19

Step-by-step explanation:

If the number of skits is x we can write:

9x + 5 = 176

9x = 171

x = 19

176 - 5 = 171 : subtract the introduction
9x=171 : solve for x (9 min per skip)
x=19 : there are a total of 19 skits

factorise a x + b x minus A Y minus b y​

Answers

x(a+b)-y(a+b)
*factor out (a+b)*
=(a+b)(x-y)

I need these 2 questions please!!! And if you can do the bottom one I’ll give you brainliest

I need these 2 questions please!!! And if you can do the bottom one Ill give you brainliest

Answers

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Does each digit 0-9 appear with the same frequency in ? Juan tallied how many times each digit appeared in the first 1000 digits of . Here are the results: Digit 0 1 2 3 4 5 6 7 8 Observed counts 93 116 103 103 93 97 94 95 101 9 105 Juan wants to perform a x? goodness-of-fit test to determine if these results suggest that one specific digit appears more often than the other digits. What is the expected count of the digit 1? You may round your answer to the nearest hundredth. Expected:

Answers

the expected count for the digit 1 is 100

Expected count for 1 = (total count of all digits) * (expected frequency of 1)

Expected count for 1 = (1000) * (0.1)

Expected count for 1 = 100

As a result, 100 is the predicted count for the digit 1.

What is the frequency?

The quantity of times a specific data value occurs is known as its frequency. We use f to represent a data value's frequency.

A frequency distribution table is a tool for structuring the provided data in a way that makes sense and facilitates comprehension. Two or three columns make up a frequency distribution table.

All of the results are presented in the first column as individual values or as class intervals.

The table's second column contains the results' totals, which also display the frequency as vertical lines. It's not required.

The frequency of each result is revealed in the third column.

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Help please , THANKS!
:DD

Help please , THANKS! :DD

Answers

Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

the questionnaire is a carefully constructed measurement instrument. group of answer choices true false

Answers

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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please answer quick
Find the velocity and acceleration vectors in terms of u, and up. de a0 r=8e' and =3 dt a

Answers

The velocity vector u is 0 and the acceleration vector up is 0.

To find the velocity and acceleration vectors in terms of u and up, given r=8e' and a=3, follow these steps:

Identify the position vector r and acceleration a.
The position vector r is given as r=8e', and the acceleration a is given as a=3.

Differentiate the position vector r with respect to time t to find the velocity vector u.
Since r=8e', differentiate r with respect to t:
u = dr/dt = d(8e')/dt = 0 (because e' is a unit vector, its derivative is 0)

Differentiate the velocity vector u with respect to time t to find the acceleration vector up.
Since u = 0,
up = du/dt = d(0)/dt = 0

So, the velocity vector u is 0 and the acceleration vector up is 0.

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