Can you please help me​

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

Point O is on line segment \overline{NP}

NP

. Given NP=3x,NP=3x, NO=2x,NO=2x, and OP=8,OP=8, determine the numerical length of \overline{NO}.

NO

.

answer:  16

Answer:

7

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

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The variables x₁, x₂, and x₃ at a given initial time t₀:

x₁(t₀) = y(t₀)

x₂(t₀) = y'(t₀)

x₃(t₀) = y''(t₀)

A linear equation is one that has a degree of 1 as its maximum value. As a result, no variable in a linear equation has an exponent greater than 1. A linear equation's graph will always be a straight line.

To write a third-order linear equation as an equivalent system of first-order equations, we can introduce additional variables and rewrite the equation in a matrix form. Let's denote the third-order linear equation as:

y'''(t) + p(t) * y''(t) + q(t) * y'(t) + r(t) * y(t) = g(t)

where y(t) is the dependent variable and p(t), q(t), r(t), and g(t) are known functions.

To convert this equation into a system of first-order equations, we introduce three new variables:

x₁(t) = y(t)

x₂(t) = y'(t)

x₃(t) = y''(t)

Taking derivatives of the new variables, we have:

x₁'(t) = y'(t) = x₂(t)

x₂'(t) = y''(t) = x₃(t)

x₃'(t) = y'''(t) = -p(t) * x₃(t) - q(t) * x₂(t) - r(t) * x₁(t) + g(t)

Now, we have a system of first-order equations:

x₁'(t) = x₂(t)

x₂'(t) = x₃(t)

x₃'(t) = -p(t) * x₃(t) - q(t) * x₂(t) - r(t) * x₁(t) + g(t)

To complete the system, we need to provide initial values for the variables x₁, x₂, and x₃ at a given initial time t₀:

x₁(t₀) = y(t₀)

x₂(t₀) = y'(t₀)

x₃(t₀) = y''(t₀)

By rewriting the third-order linear equation as a system of first-order equations, we can solve the system numerically or analytically using methods such as Euler's method or matrix exponentials, considering the provided initial values.

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Answer:

44.821869662

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

\(\frac{x+1}{x-4}\) × \(\frac{5x}{x+1}\) ← cancel x + 1 on numerator and denominator

= \(\frac{1}{x-4}\) × \(\frac{5x}{1}\)

= \(\frac{5x}{x-4}\)

Answer:

5x/(x-4)

Step-by-step explanation:

To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:

\(\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}\)

We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:

\(\frac{5x}{x-4}\)

If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.

Answer: a

Step-by-step explanation: I did the test

Answer:

The total cost is $6.25

Step-by-step explanation:

3/4 of 1 kilo of rect

4/5 of 1 kilo of square

3/5 of 1 kilo of flower

rect = 3 per kilo

square = 3 per kilo

flower = 3 per kilo

First rectangle beads:

3x = y where x is number of kilos and y is full cost

3(3/4) = y

9/4 = y = 2 1/4 = $2.25

Second square beads:

3x = y where x is number of kilos and y is full cost

3(4/5) = y

12/5 = y = 2 2/5 = $2.20

Third flower beads:

3(x) = y where x is number of kilos and y is full cost

3(3/5) = y

9/5 = y = 1 4/5 = $1.80

Add costs together

1.80 + 2.20 + 2.25 = 6.25

The total cost is $6.25

A.

We can rewrite the squared in two ways.

The first way is to rewrite it as a multiplication, this is:

The second way to rewrite the squared is by using the formula for this kind of product:

B.

Once again we can find the final result using each of the options given in part A, for the first option we have:

For the second option we have:

No matter which way we choose the answer for the squared is:

The frequency for female students who prefer pens is also 9 (since there are an equal number of male and female students in the class).

Here is a table that includes the missing joint and marginal frequencies:

|                  | Pens   | Pencils | Total  |
|------------------|--------|---------|--------|
| Male             |        |         | 12     |
| Female           |        | 9       | 18     |
| Total            | 9      | 21      | 30     |

To fill in the missing frequencies, we can use the information given in the problem. We know that there are 30 students in the class, and 12 of them are male. This means that there are 18 female students in the class.

We also know that a total of 21 students prefer pencils for their math homework. Out of those 21 students, 12 are female. This means that there are 9 male students who prefer pencils.

To find the frequency for students who prefer pens, we can subtract the frequency for pencils from the total number of students: 30 - 21 = 9. We already know that 9 male students prefer pens, so the frequency for female students who prefer pens is also 9 (since there are an equal number of male and female students in the class).

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

The journal entry to record bad debt expense should be:

December 31, 2019, bad debt expense

Dr Bad debt expense 9,000

    Cr Allowance for doubtful accounts 9,000

Net account receivables = $350,000 - $9,000 = $341,000

The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.

The given periodic solution is both a solution to the nonlinear system and a stable solution based on the variational equation analysis.

To show that the given solution x(t) = 2 cos(2t), y(t) = sin(2t) is a periodic solution to the nonlinear system, we substitute these expressions into the system of differential equations:

˙x = −4y + x(1 − (1/4)x^2 − y^2)

˙y = x + y(1 − (1/4)x^2 − y^2)

After substitution, we can verify that the equations are satisfied for all values of t. This shows that the given solution is indeed a solution to the system of differential equations.

To determine the stability of the periodic solution, we can use the variational equation. The variational equation linearizes the system around the periodic solution and allows us to analyze its stability.

The variational equation for the given system is:

δ˙x = −4δy + (1 − (1/2)x^2 − y^2)δx

δ˙y = δx + (1 − (1/2)x^2 − y^2)δy

To analyze stability, we consider small perturbations from the periodic solution, denoted by δx and δy. If these perturbations decay over time, the periodic solution is stable.

By analyzing the given values of the coefficient matrix in the variational equation, we can determine the stability. If all eigenvalues have negative real parts, the solution is stable. If there are eigenvalues with positive real parts, the solution is unstable.

By calculating the given values of the coefficient matrix for the given system, we can show that they all have negative real parts. This indicates that the periodic solution x(t) = 2 cos(2t), y(t) = sin(2t) is stable.

Therefore, the given periodic solution is both a solution to the nonlinear system and a stable solution based on the variational equation analysis.

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Answer:

Step-by-step explanation:

Looking at the options, 6 1/4 is matching Option B.

Option B is correct.

\(6\frac{1}{4}\)%  percent of 64 is equals to 4.

"Percentage of any number is defined as the hundredth part of a given number. It is represented by symbol %."

According to the question,

x represents the required percentage

  x% of 64 = 4

⇒(x / 100) × 64 = 4

⇒x = (4 × 100) /64

⇒ x= 25 / 4

⇒ x = \(6\frac{1}{4}\) %

Hence, \(6\frac{1}{4}\)%  percent of 64 is equals to 4.

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The expression is to be written in complete square method and the value will be equal to  (x + 5/2)² + 7/4.

The expression x² + 5x + 8 is a quadratic polynomial and a quadratic polynomial is one which can be written in the form ax² + bx + c; where a, b and c are constant values and x is the independent variable. Now in order to write the expression by using completing square method we write the polynomial as

x² + 5x + 8

We divide the coefficient of x that is 5 by 2 so we get

x² + (5/2)x + 8

Now, we add and subtract the square of coefficient of x that is 5/2 so we get

x² + (5/2)x + 8 + (5/2)² - (5/2)²

From the above expression we get

(x + 5/2)² + 8 - 25/4

(x + 5/2)² + (32 - 25)/4

(x + 5/2)² + 7/4

Thus we have written the expression in the form (x + p)² + q as (x + 5/2)² + 7/4.

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Answer:

It is easy you just add all of the up and the answer will give you 20 so your answer will be 20

Step-by-step explanation:

ad 2+3+4+5+6 = 20

Answer:

It is easy you just add all of the up and the answer will give you 20 so your answer will be 20

Step-by-step explanation:

ad 2+3+4+5+6=20

20 is your answer

HOPE THIS HELPS YOU!

Answer:

Step-by-step explanation:

Answer:  The length of the third side is greater than 4 ft and less than 20 ft.

Step-by-step explanation:  Given that two sides of a triangle have lengths 8 ft and 12 ft.

We are to describe the possible lengths of the third side.

Let x ft be the length of the third side of the triangle.

We know that

the sum of the lengths of any two sides of a triangle is always greater than the third side.

So, we must have

Also,

and

From inequalities (i), (ii) and (iii), we get

Thus, the length of the third side is greater than 4 ft and less than 20 ft.

Answer:

21/4

Step-by-step explanation:

-6-15/ -3-1= -21/-4=21/4

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

9. The 5 bags for $25 is a better deal

10. You would need $16.72

Step-by-step explanation:

9. Divide 25/5=5 and 42/7=6

The 5 bags for $25 is a better deal because it's the smallest answer.

10. Divide $12.54/6=$2.09 per book

Multiply $2.09*8=$16.72 for 8 books

Answer:

9. The 5 bags for $25.00 is the best offer.

10. 8 books is $16.72.

Step-by-step explanation:

9. Because you have to find out how much each bag costs so you divide the total cost by the ammount of bags. When you do this you get $5 dollars a bag for the 5 bags and $6 dollars a bag for the 7 bags.

10. You need to find out how much each book cost so you divide the amount of money by 6 and you get $2.09. Then you multiple 8 by 2.09 and you get 1672 but then you have to move the decimal to the left two times and you end up with $16.72.

Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Answer:

√−100 = 10i

Step-by-step explanation:

The square root of negative 100 can be dissected step by step. The square root of 100 is 10 however there is no such thing as square root of something negative, thus the imaginary notion is applied. square root of -1 is equal to i .Hence the answer to this problem is 10 i.

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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