Find an expression which represents the difference when (-2x+2) is subtracted from (-7x-9) in simplest terms

Answer:

5145cm²

125/343=1875/x

x=1875×343÷125=5145

Answer:

============

Since both points have same y-coordinate, the distance between the points is the difference of x-coordinates:

Answer:

12 - x is the standard form version :)

True. Binomial distributions in which the sample sizes are large may be approximated by a Poisson distribution.

When the sample size in a binomial distribution is large (typically n ≥ 20) and the probability of success is small (p ≤ 0.05), the binomial distribution can be approximated by a Poisson distribution. The Poisson distribution is often used as an approximation in such cases because it simplifies calculations and provides a good estimate of the binomial probabilities. The approximation becomes more accurate as the sample size increases and the probability of success decreases.

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The alternative term that can be used to describe asymmetric cryptographic algorithms is "public key cryptography," option b.

Asymmetric cryptography is a cryptographic approach that utilizes a pair of distinct keys, namely a public key and a private key.

The public key is openly shared, allowing anyone to encrypt messages intended for the owner of the corresponding private key.

Conversely, the private key remains secret and is used for decrypting the encrypted messages.

Public key cryptography is named as such because the public key can be freely distributed among users, enabling secure communication without the need for a shared secret key.

So the correct option is B.

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Answer:

x = 8

Step-by-step explanation:

x - 2 = 6 ( add 2 to both sides )

x = 8

Answer:

ah bbhgggvgujjbgg

hhhjj

answer of the above question is V1 leads I2 By -70.46 degrees.

Determine the relative phase relationship of the following two waves:v1(t) = 10 cos (377t – 30o) Vv2(t) = 10 cos (377t + 90o) VThe phase angle of the first wave is -30° and the phase angle of the second wave is +90°.The relative phase relationship of the two waves is:V1 leads V2 by 120°.v(t) = 10 cos (377t + 30o) Vi(t) = 5 sin (377t – 20o) AThe phase angle of the voltage wave is +30° and the phase angle of the current wave is -20°.Thus, The relative phase angle between v(t) and i(t) is:V leads I by 50°.Q2) Determine the phase angles by which v1(t) leads i1(t) and v1(t) leads i2(t), wherev1(t) = 4 sin (377t + 25o) Vi1(t) = 0.05 cos (377t – 20o) Ai2(t) = -0.1 sin (377t + 45o) AV1 leads I1 By 45.46 degrees

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The phase angles by which v1(t) leads i1(t) and v1(t) leads i2(t) are 45 degrees and -20 degrees respectively.

Relative phase relationship of the given waves:

Given v1(t) = 10 cos (377t – 30o) V

and v2(t) = 10 cos (377t + 90o) V,

Therefore, phase angle of v1(t) is -30 degrees

and the phase angle of v2(t) is +90 degrees.

The phase angle of the current

i(t) = 5 sin (377t – 20

o) A is -20 degrees.

The phase angle of the voltage v(t) = 10 cos (377t + 30o) V is +30 degrees.

Determine the phase angles by which v1(t) leads i1(t) and v1(t) leads i2(t), where

Given v1(t) = 4 sin (377t + 25o) V,

i1(t) = 0.05 cos (377t – 20o) A,

and i2(t) = -0.1 sin (377t + 45o) A.

Hence, Phase angle of v1(t) is 25 degrees:

25 degree Phase lead of v1(t) with respect to i1(t)Angle = (Phase angle of v1(t)) - (Phase angle of i1(t))

= 25o - (-20o)

= 45 degrees (leading)

45 degree Phase lag of v1(t) with respect to i2(t)Angle = (Phase angle of v1(t)) - (Phase angle of i2(t))

= 25o - 45o = -20 degrees (lagging)

Therefore, phase angles by which v1(t) leads i1(t) and v1(t) leads i2(t) are 45 degrees and -20 degrees respectively.

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Answer:

29.5

Step-by-step explanation:

I took the test and this is what he correct answer is!!

Hope it helps!!

Answer:

$6.75

Step-by-step explanation:

You would have to find how much it would cost you to buy 1 can. So you do $9/4= $2.25

now multiply $2.25 and 3

which equals $6.75

6 dollars 75 cents

Hope this helps :)

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

Answer:

the answer is "the sum of primes is equal to an even number"

Step-by-step explanation:

The sum of primes is equal to an even number. Then option A is correct.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number.

Prime numbers = { 1 , 2 , 3 , 4 , 5 ..............}

The given pattern is,

4 = 2 + 2

6 = 3 + 3

8 = 3 + 5

10 = 3 + 7

12 = 5 + 7

In the given pattern we can see that the sum of all the prime numbers is an even number.

Hence, option A is correct.

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If $5,860 was raised, following statements are true:

319 people attended.

52 children attended.

The total amount of money raised from adults attending is more than 10 times the total amount of money raised from children attending.

A statement in mathematics is a declarative utterance that can only be either true or false. A proposal is another name for a statement. It's important that there be no ambiguity. A sentence can only be true or untrue and not both for it to be a statement.

Given

Tarin organized this table to determine the number of adults, a, and children attending a fundraiser based on the total number of people attending and the total amount of money raised.

If $5,860 was raised, following statements are true:

319 people attended.

52 children attended.

The total amount of money raised from adults attending is more than 10 times the total amount of money raised from children attending.

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The number of even integers in the group is 7, and the number of odd integers is 35.

Let's assume that there are x even integers in the group, then the number of odd integers will be 5x since there are 5 times as many odd integers as there are even integers.

The total number of integers in the group is 42, so we can write an equation:

\(x + 5x = 42\)

Simplifying this equation, we get:

\(6x = 42\)

Dividing both sides by 6, we get:

\(x = 7\)

Therefore, there are 7 even integers in the group.

We can also find the number of odd integers using the equation we obtained earlier:

Number of odd integers = 5x = 5(7) = 35

So, out of the total 42 integers in the group, there are 7 even integers and 35 odd integers.

In conclusion, It is important to note that the sum of these two values is equal to the total number of integers in the group, which is 42.

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The function f(x) = - 2 · x + 12 evaluated at x = 6 has an output equal to 0.

Functions are have three features: Input, relation, output. The input is the independent variable, generally known as x, the relation is how the input and output are related, the output is the dependent variable, generally know as y.

In this problem, we should substitute on the input, make all algebraic operations associated to the relation and determine the variable within the output.

The procedure is now shown:

First, substitute on the input:

x = 6

y = - 2 · 6 + 12

Second, make the algebraic operations involved in the relation:

y = - 2 · 6 + 12

y = - 12 + 12

Third, determine the value within the output.

y = 0

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The volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

For the given question;

The volume of air inhale (and exhale) once = 0.475 liters

Number of breathing in 1 minutes = 18 times.

Thus, the volume of air inhaled in 1 minutes is 0.47×18 = 8.46 litres.

This can be written as;

1 minutes ------- > 8.46 litres of air.

For calculating in 8 hours that is 8×60 = 480 minutes, multiply the both side by 480 in above equation;

1× 480 minutes ------- >  480×8.46 litres of air.

480 minutes --------> 4060.8 litres of air.

Therefore. the volume of air in liters that might inhale (and exhale) in 8.00 hours is 4060.8 litres.

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The frequency table will list the number of travelers who liked each city. In this case, 124 travelers liked Indianapolis best, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The frequency table will present the preferences of the frequent business travelers while the relative frequency table will express these frequencies as a proportion of the total number of travelers. It will list the four cities (Indianapolis, St. Louis, Chicago, and Milwaukee) and their corresponding frequencies, which represent the number of travelers who preferred each city. According to information provided, 124 travelers liked Indianapolis, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The relative frequency table will express the frequencies as proportions relative to the total number of travelers. To calculate the relative frequency, the frequency of each city will be divided by the total number of travelers, which is 2200 in this case.

The resulting proportions will be rounded to three decimal places. The relative frequencies will indicate the proportion of travelers who preferred each city relative to the total number of respondents.

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To find the equilibrium volume v for a gas that obeys condition (a) and has an excluded volume, we'll use the given entropy formula s = nkln(v−nb) along with the given value for b. In order to determine the equilibrium volume, we need to find the point where the Gibbs free energy G is minimized. The Gibbs free energy is given by:

G = U + PV - TS
Where U is internal energy, P is pressure, V is volume, T is temperature, and S is entropy. In this case, we are not given values for U, P, or T. Therefore, we cannot explicitly calculate the equilibrium volume v.

However, if more information about the system's temperature and pressure is provided, you could use the equation of state for the gas, along with the given entropy formula, to minimize the Gibbs free energy and find the equilibrium volume v.

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

75%

Step-by-step explanation:

\(\frac{x}{100} = \frac{45}{60}\)

45 x 100 = 4,500

4,500 divided by 60 = 75

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

b

Step-by-step explanation:

The location of point b n a number line with a point is located at 2 is 2.8.

According to the idea of ratio proportionality, two ratios are proportional if they are equal. To put it another way, if a/b = c/d, then an is to b what c is to d. Several branches of mathematics and science, including geometry, physics, and statistics, all make use of this idea. Also, it is useful in daily life when comparing product costs or figuring out cooking ratios.

Let the location of point b = x.

Using the ratio and proportion we have:

ab/bc = 1/3

Substituting ab and bc in terms of x we have:

(x-2)/(5-x) = 1/3

3x - 6 = 5 - x

x = 2.8

Hence, the location of point b n a number line with a point is located at 2 is 2.8.

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Answer:

2

Step-by-step explanation:

2L + 6 = 6L - 10                      Add 10 to both sides

2L + 6 + 10 = 6L                     Combine the left.

2L + 16 = 6L                           Subtract 2L from both sides

16 = 6L + 2L                           Combine the right    

16 = 8L                                   Divide by 8

8L = 16

8L/8 = 16/8

L = 2

Answer:

3200 = 168x + 8

Step-by-step explanation:

$3200 is the total sales in dollars, so we're going to plug that in for y (it says in the equation that y represents the total sales in dollars). And the rest of the equation stays the same.

I hope this helped!

Answer:

The answer is c (Divide 3,192 by 168)

Step-by-step explanation:

I got it right (:

Answer:

the answer is p<3.7

step-by-step explanation:

The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.

Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:

F_B = m_p * g

Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.

To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).

m_b = V * ρ

Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).

m_p = n * m

Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.

n = (F_B) / (m * g)

Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

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Whether the equation Ax=b has at least one solution for every possible b depends on whether the vector b is in the column space of A.

We have,

If matrix A is a 3×3 matrix with two pivot positions, it means that the rank of matrix A is 2.

In this case, the equation Ax=b may or may not have a solution for every possible vector b.

If the vector b is in the column space of A, then the equation will have a solution.

This means that b can be expressed as a linear combination of the columns of A.

In this case, the equation Ax=b has at least one solution.

However, if the vector b is not in the column space of A, then the equation will not have a solution.

This means that b cannot be expressed as a linear combination of the columns of A.

In this case, the equation Ax=b does not have a solution.

Therefore,

Whether the equation Ax=b has at least one solution for every possible b depends on whether the vector b is in the column space of A.

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Answer:

a

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (- 1, - 3 ) , then

y - (- 3) = 4(x - (- 1) ) , that is

y + 3 = 4(x + 1)