Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same two vectors?.

Assuming the person's weight and magnitude, we can estimate their weight to be 491N.

A mathematical object's magnitude or size defines whether it is greater or smaller than other items of its kind.

In formal terms, an object's size can be thought of as the outward manifestation of an ordering—of the class of objects to which it belongs.

So, the person's weight will be:

The scale calculates the floor's usual upward force on the passenger.

The most force is produced when going up (when starting an upward trip or ending a downward trip).

The normal force is lowest when there is a downward acceleration.

Regarding any such situation

∑F y​ =ma y changes to +391Nmg = ma for halting and +591Nmg=+ma for starting. (Where a represents the size of the acceleration.)

Add these two simultaneous equations to eliminate a and determine mg:

+591N−mg+391N−mg=0

OR

982N–2mg=0

Fg​ = mg = 982N/2​ = 491N

Therefore, assuming the person's weight and magnitude, we can estimate their weight to be 491N.

Know more about magnitude here:

brainly.com/question/24468862

#SPJ4

Complete question:

A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591N. As the elevator later stops, the scale reading is 391N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine the weight of the person.

we have the numbers

1/2 and 2/5

the given fractions don't have the same denominator

so

Find out an equivalent fraction

1/2 -----> multiply by 5/5

(1/2)*(5/5)=5/10

2/5 ----> multiply by 2/2

(2/5)*(2/2)=4/10

Now compare the fractions

5/10 is greater than 4/10

so

Answer:

u=50/11

Step-by-step explanation:

cross multiply and divide on both sides

Answer:

u = \(\frac{50}{11}\)

Step-by-step explanation:

Given

\(\frac{u}{10}\) = \(\frac{5}{11}\) ( cross- multiply )

11u = 50 ( divide both sides by 11 )

u = \(\frac{50}{11}\)

The integer 35 from the set S = {-24,2,20,35} will make the inequality (5m/6) - 5 < (m/2) + 3 false.

We shall put each integer from the set to both the left hand side and the right hand side of the inequality expression to know if the symbol remain true as follows:

For m = -24:

[5(-24)/6] - 5 = -25

(-24/2) + 3 = -9

-25 < -9 true

For m = 2:

[5(2)/6] - 5 = -3.33

(2/2) + 3 = 4

-3.33 < 4 true

For m = 20

[5(20)/6] - 5 = 11.67

(20/2) + 3 = 13

11.67 < 13 true

For m = 35:

[5(35)/6] - 5 = 24.17

(35/2) + 3 = 20.5

24.17 < 20.5 false

Therefore, the integer 35 from the set S = {-24,2,20,35} will make the inequality (5m/6) - 5 < (m/2) + 3 false.

Know more about inequality here:https://brainly.com/question/18881247

#SPJ1

The average annual increase in fuel price: This is a continuous random variable as it can take on any value within a range.

A car's speed at different times: This is a continuous random variable as well since a car's speed can vary continuously. The number of cars passing through a toll booth in an hour: This is a discrete random variable as it can only take on whole number values.

The number of phone calls made in a day: This is also a discrete random variable as it can only take on whole number values.  The salaries of employees in an office: This is a continuous random variable as salaries can take on any value within a range.
To know more about average visit:

https://brainly.com/question/8501033

#SPJ11

A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

to know more about equation , visit:

brainly.com/question/26310043

#SPJ4

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

Learn more about volume here:

https://brainly.com/question/13338592

#SPJ11

The final balance of the bank statement was $880.88.  This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.

The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.

The complete question:

what was the ending balance? a sample bank statement.

A) $597.35

B) $715.26

C) $751.58

D)$880.88.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer: 34 + 2 = 36

Step-by-step explanation:

36 - 2 = 34

Add 2 to this:

36 - 2 + 2 = 34 + 2

36 = 34 + 2

Answer:

you will spend 56 dollars

Step-by-step explanation:

1. No

2. yes

3. yes

this needs 20 answers

Answer:

c part is the answer of this question

im like 99% sure the answer is b

Therefore, this is how much it would cost to purchase p pounds of chicken: Cost is equal to $3.75p – $1.75, with p≥  1.

The unitary method in mathematics is a strategy for resolving proportional issues. Finding the value of one unit of a quantity and using that value to calculate the value of a second quantity that is proportional to the first includes this technique. The unitary technique is frequently employed in a variety of real-world contexts, including engineering, finance, and food preparation. The unitary method can be used to determine the amount of flour required to make a different number of cookies, for instance, if a recipe asks for 2 cups of flour to make 12 cookies.

given

The price of 5 pounds of poultry without the coupon is:

$5 for five pounds at $3.75 per pound.

Jai saves $1.75 thanks to the coupon, making the total price for 5 pounds of chicken:

$18.75 - $1.75 = $17.00

Jai would therefore need to spend $17.00 in order to purchase 5 pounds of poultry using the coupon.

With the assumption that at least one pound is bought, we can use the following formula to write an expression for the price to buy p pounds of chicken:

Expense is equal to (price per pound) x (pounds) - (coupon amount)

where p is the number of pounds, $3.75 is the price per pound, and $1.75 is the value of the voucher.

Therefore, this is how much it would cost to purchase p pounds of chicken: Cost is equal to $3.75p – $1.75, with p≥  1.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

To get the value of x, we will use the similarity theorem of the triangle;

a) From the given image:

\(\frac{ED}{AD} = \frac{BC}{AC} \\\frac{x}{10} = \frac{x+4}{x+7}\\Cross \ multiply\\x(x+7) = 10(x+4)\\x^2+7x=10x+40\\x^2+7x-10x-40=0\\x^2-3x-40=0\)

On factorizing

\(x^2+5x-8x-40=0\\x(x+5)-8(x+5)=0\\(x+5)(x-8) =0\\x=-5 \ and \ 8\)

Since x cannot be negative, then x = 8

b) The perimeter of AED = AE + ED + AD

Given

AD = 10

ED = x = 8

AE² = AD² + ED²

AE² = 10²+8²

AE² = 100 + 64

AE² = 164

AE = √164

AE = 12.80

Perimeter of AED = 12.80 + 8 + 10

Perimeter of AED = 30.80

Hence the perimeter of AED is 30.80.

Learn more here: https://brainly.com/question/19892143

Answer:

a scatter plot that shows no correlation doesnt have a pattern and its often all over the place but a scatter plot with a negative correlation has a pattern that shows its going downwards

Step-by-step explanation:

the picture attached shows the difference

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

Visit here to learn more about antecedent:

brainly.com/question/28845527

#SPJ11

Answer:

the area of the whole rectangle =20cm×30cm

area of rectangle =600cm²

hieght of the triangle is equal to the breadth of the square.

area of triangle=1/2×base×height

area of triangle=1/2×30×20

area of triangle =300cm²

area of shaded region=area of rectangle-area of triangle

"""""" =600cm²-300cm²

area of shaded region =300cm²

Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

\(-3=\frac{k}{12}\)

multiply both sides by 12

\(\frac{12k}{12}=12\left(-3\right)\)

12*(-3)=-36

\(\frac{12k}{12}=12\left(-3\right)\)

k=-36

Answer:

Step-by-step explanation:

You want the values of x and y that make the quadrilateral a parallelogram, given the halves of one diagonal are marked (3x-14) and (x+2), and the halves of the other diagonal are marked (4y-7) and (y+11).

The diagonals of a parallelogram bisect each other. This means the marked segments on each diagonal are congruent.

  (3x -14) = (x +2)

  2x = 16 . . . . . . . . . add 14-x

  x = 8 . . . . . . . . divide by 2

  (4y -7) = (y +11)

  3y = 18 . . . . . . . . . add 7-y

  y = 6 . . . . . . . . divide by 3

The values of x and y are 8 and 6, respectively.

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ9

The options for each paragraph are listed below:

In this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.

First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).

The maximum profit of $ 50 is reached when 1000 items are produced.

The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.

The ball starts 0 feet above the ground.

The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.

The ball returns to the ground at about 17.2 feet away.

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

To know more about digit visit:

https://brainly.com/question/30142622

#SPJ11

the particular solution to the given differential equation with the initial condition  \(y(pi)=-5\) is: \(y = -2 + [(3sec^2(x)-1)/3]\)

To find the particular solution to the given differential equation with the initial condition, we can use the method of separation of variables and integrate both sides with respect to x.

Starting with the given differential equation:

\(dy/dx = sec^2(x)(2+y)^2\)

We can separate variables and write:

\((2+y)^(-2)dy = sec^2(x)dx\)

Integrating both sides, we have:

\((2+y)^(-1) = tan(x) + C\)

where C is an arbitrary constant of integration.

To find the value of C, we can use the initial condition y(pi)=-5:

\((2+(-5))^(-1) = tan(pi) + C\)

\((2-5)^(-1) = 0 + C\)

\(C = -1/3\)

Substituting this value of C back into the general solution we obtained earlier, we get:

\((2+y)^(-1) = tan(x) - 1/3\)

Multiplying both sides by  \((2+y)\) , we can solve for y:

\(y = -2 ± [(3sec^2(x)-1)/3]\)

Therefore, the particular solution to the given differential equation with the initial condition   \(y(pi)=-5\) is: \(y = -2 + [(3sec^2(x)-1)/3]\)

Learn more about equation here:

https://brainly.com/question/14620493

#SPJ1

The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1

The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.

This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1  , then let us arrange it as:

7x^3 +3^2 +4x + 1

Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .

Read more about Standard Form at:

https://brainly.com/question/19169731

#SPJ1

Answer:

42 + 3(n - 1)

Step-by-step explanation:

We can model this situation with an arithmetic sequence where n is the row number.

Start off with the first row. We know that there are 42 seats to begin with. Since the starting value for this sequence won't change (unless someone breaks or adds another chair), we can represent it as a constant, or a coefficient without a variable.

# of seats in the 1ˢᵗ row = 42

Then, for each row after that, there are 3 more seats added. Since the total amount of seats added since the first row varies by each row, we have to use a variable to represent this change. The variable's coefficient represents the amount of seats added per row.

# of seats in the nᵗʰ row = 42 + 3n

However, this initial attempt is incorrect, as if we test it with the first row (when n = 1), we get 42 + 3(1), which is not equal to 42. We can account for this shifting in the + 3 (because we don't want to apply it to the first row) by subtracting 1 from n:

# of seats in the nᵗʰ row = 42 + 3(n - 1)

Finally, we can check this new equation to make sure it works:

42 ≟ 42 + 3(1 - 1)

42 ≟ 42 + 3(0)

42 = 42

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

In the expression (-6)⁴, the power and exponent is 4

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the power or exponents us the number of times the number is raised which is 4.

Learn more about exponents on:

brainly.com/question/13669161

#SPJ1

Answer:

5a - 3

Step-by-step explanation:

I really hope this helps!

Amaya used 27 blue squares out of 36 carpet squares to cover the floor of her closet.

Given:

Amaya is using 36 carpet squares to cover the floor of her closet.

i.e. Total number of carpet squares Amaya used = 36

If 3/4 of the total carpet squares are blue is given.

So, assume blue squares = x

i.e 3/4 of total carpet squares = x

3/4 * 36 = x

Canceling by 4, We get,

=> x = 3 *9

=> x = 27

The value of x is equal to 27.

So, the value of other squares is equal to 1/4.

i.e 1/4 of total carpet squares = Other squares

1/4 * 36 = Other squares

Canceling by 4, We get,

=> Other squares = 9

The other square is 9.

Hence, she uses 27 blue squares to cover the floor of her closet.

To learn more about the squares visit: https://brainly.com/question/28776767

#SPJ4

The given expression 5x+3x²-7x³+2 is a cubic expression.

A cubic expression is a three-dimensional algebraic equation of the form ax³ + bx² + cx + d = 0, where the coefficients are a, b, and c, and the constant is d.

In order to classify the given expression as 5x+3x²-7x³+2, we need to rearrange the given expression,

\(5x+3x^2-7x^3+2\\\\=-7x^3+3x^2+5x+2\)

Since the highest power that is in the expression is 3, therefore, the given expression is a cubic expression.

Learn more about Expression:

https://brainly.com/question/13947055