"What scale of measurement is being used when a teacher measures the number of correct answers on a quiz for each student

Answer     for 2020:  loan maturity in days 125

                                   Actual Interest is $164.90

Step-by-step explanation:

loan x Interest x Time (in days =Total interest

the simple interest on the loan is approximately $161.28.

To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.

The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.

The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.

Using the formula for simple interest: Interest = Principal x Rate x Time

Interest = $5350 x 0.09 x 0.3333 ≈ $161.28

Therefore, the simple interest on the loan is approximately $161.28.

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Answer:

714

Step-by-step explanation:

587,714 they arrange in orderly form

A number greater than 714,587 is 714,588

The complete question is added as an attachment

From the attached figure, we have:

Passengers = 714,587

Numbers greater than 714,587 would have a value greater than 714,587

This is represented as:

x > 714,587

The above inequality represents numbers greater than 714,587

An example of such number is 714,588

Hence, a number greater than 714,587 is 714,588

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The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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Answer:

3/8

Step-by-step explanation:

(3/8) Since they have the same denominator, you can subtract the second numerator from the first so 6 minus 3 is 3. So 3/8

Answer: 3/8 is the correct answer

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

Answer:

7.6ft

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

3.8 + 3.8 = 7.6

The radius of a circle is half of the diameter

The radius is half of the circle length and the diameter is the whole length

remember that :)

Answer:

X=42

Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals  42

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

110

Step-by-step explanation:

I got it right and I know it's been two weeks but this is just to help anyone else who sees this

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Answer:

x=3mod4

Means that when x is divided by 4 it gives an unknown integer and a remainder of 3.

x/4 = Z + 3/4

Z= (x-3)/4

Where Z is the integer

x=5 mod6

x/6 = Y + 5/6

Y = (x-5)/6

Where Y is the integer

Z-Y must be an integer on equal to zero

(x-3)/4 - (x-5)/6

3(x-3)/12 - 2(x-5)/12

(3x-9-2x+10)/12

(x+1)/12

If it is equal to 0

x=-1. But x should be positive

If it is equal to 1

x=11

Hence the smallest possible number is 11

Answer:

2sqr3, the first option

Step-by-step explanation:

Answer:

it call enlargement and similarities and for the boxes they are showing u that u will work for scale factor and it with the boxes

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

Step-by-step explanation:

Created Sequences

S1: 10 20 40 80 150

s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

20*2 = 40

S2: Start at 24 and subtract 4

24 - 4 = 20

20 - 4 = 16

16 - 4 =  12

Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

Answer:

sixteen i guess?

Step-by-step explanation:

abcdefghijklmnop

Answer:

6i(9i)

Step-by-step explanation:

Answer:

C is the answer, please choose the letter C that's the answer

Answer:

1.16667

Step-by-step explanation:

When told in the question that random number of sample is tested

z test statistic formula = x - x bar(x with bar above it) /Standard error

From the question

x = raw score = 46 pounds

x bar (x with bar above it)= sample mean = 45.5 pounds

Standard Error = σ/√n

Standard deviation = σ = 3

n = random number of samples = 49

z = 46 - 45.5/3/√49

z = 0.5/ 3/7

z =0.5/ 0.4285714286

z = 1.16667

Therefore , the value of the z test statistic = 1.16667

Answer:

1.17

Step-by-step explanation:

Answer:

its b I'm pretty sure........

Answer:

B

Step-by-step explanation:

19 4/3 is positive so you need to make it a negative number so it would be -19 4/3

Answer:

0.5041 = 50.41% probability of getting 2 of the same colour

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability of getting 2 of the same colour?

Both blue or both red

Since they are replaced, we have, in each trial:

6 blue from a set of 6 + 5 = 11

5 red from a set of 6 + 5 = 11

Probability of both blue:

Each with 6/11 probability. So

\(P = (\frac{6}{11})^2 = \frac{36}{121}\)

Probability of both red:

Each with 5/11 probability. So

\(P = (\frac{5}{11})^2 = \frac{25}{121}\)

Total:

\(p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041\)

0.5041 = 50.41% probability of getting 2 of the same colour

Answer:

\(slope = \frac{rise}{run} \)

The slope is 3

Yep thts your answer

Answer:

The sum of the first ten terms is -35.

Step-by-step explanation:

The first term of an arithmetic sequence is 10, and its common difference is -3.

We want to find the sum of the first 10 terms of this sequence.

Remember that the sum for an arithmetic sequence is given by:

\(\displaystyle S=\frac{k}{2}\left(a+x_k\right)\)

Where k is the number of terms, a is the initial/first term, and x_k is the last term.

Since our initial term is 10, a = 10.

And since we want to find the sum of the first ten terms, k = 10.

So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:

\(x_n=a+d(n-1)\)

Where a is the initial term and d is the common difference.

So, by substituting, we acquire:

\(x_n=10-3(n-1)\)

Then the tenth or last term is:

\(x_{10}=10-3(10-1)=10-3(9)=10-27= -17\)

Then the sum of the first ten terms will be:  

\(\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35\)

Answer:

-35

Step-by-step explanation:

\(a_{1}\) = 10+(-3)(0) = 10

\(a_{10}\) = 10+(-3)(9) = -17

\(S_{10}\) = 10[(10 -17)/2] = 10(-7/2) = -70/2