HELP ME PLEASEE!!!!!!!

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

now, going either way the boat travelled the same 18 miles.

\(\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare\)

Answer:

Jessica can make 12 bracelet in 180 minutes (3 hours).

Step-by-step explanation:

Number of bracelet Jessica can make in 30 minutes=2

Number of bracelet Jessica can make in 180 minutes=(180×2)/30=12

or,

Number of bracelet made by Jessica is directly proportional to the time taken by her.

Number of bracelet made by Jessica=k×time taken by her, where k is a constant

In all cases value of k is 15

Therefore,

Let the number of bracelet be x and putting the value of k, we get

xk=180 minutes (3 hours)

15x=180

x=180/15

x=12

The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:

6w³ cubic units.

A rectangular prism is composed by three dimensions, given as follows:

The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:

V = lwh.

From the image given at the end of the answer, the dimensions of the prism are given as follows:

Hence the expression that gives the volume of the rectangular prism is given as follows:

V = w x 2w x 3w = 6w³ cubic units.

The prism is given by the image shown at the end of the answer.

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Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

Answer:

Its D i had to guess but got it right :)

Step-by-step explanation:

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ x⁶ - 64x⁴ + x² - 7x - 51

If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.

At x = 8, the value of the polynomial is given as,

⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51

⇒ 262,144 - 262,141 + 64 - 56 - 51

⇒ - 43

The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.

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Answer:

13.65

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

The solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

To find the maximum value of y in the given initial value problem y'' + y = -sin(2x) with the conditions y(0) = 0 and y'(0) = 0, we can follow these steps:
1. Identify that the given problem is a second-order homogeneous linear differential equation with constant coefficients.
2. Find the complementary function by solving the homogeneous equation y'' + y = 0.
3. Apply the method of variation of parameters to find the particular solution for the non-homogeneous equation.
4. Combine the complementary function and the particular solution to obtain the general solution of the given problem.
5. Apply the initial conditions y(0) = 0 and y'(0) = 0 to find the constants in the general solution.
6. Analyze the solution to determine the maximum value of y.
Since the solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

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Answer: -2

Step-by-step explanation:

The exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

Given that sin θ = 12/13 and θ is in quadrant I, we can determine the values of the remaining trigonometric functions as follows:

cos θ:

In quadrant I, cos θ is positive. We can use the Pythagorean identity \(sin^2 θ + cos^2 θ = 1\) to find the value of cos θ:

\(cos^2 θ = 1 - sin^2 θcos^2 θ = 1 - (12/13)^2cos^2 θ = 1 - 144/169cos^2 θ = (169 - 144)/169cos^2 θ = 25/169\)

Since cos θ is positive in quadrant I, we take the positive square root:

cos θ = √(25/169)

cos θ = 5/13

tan θ:

tan θ is the ratio of sin θ to cos θ:

tan θ = sin θ / cos θ

tan θ = (12/13) / (5/13)

tan θ = 12/5

csc θ:

csc θ is the reciprocal of sin θ:

csc θ = 1 / sin θ

csc θ = 1 / (12/13)

csc θ = 13/12

sec θ:

sec θ is the reciprocal of cos θ:

sec θ = 1 / cos θ

sec θ = 1 / (5/13)

sec θ = 13/5

cot θ:

cot θ is the reciprocal of tan θ:

cot θ = 1 / tan θ

cot θ = 1 / (12/5)

cot θ = 5/12

Therefore, the exact values of the remaining trigonometric functions of θ are:

cos θ = 5/13

tan θ = 12/5

csc θ = 13/12

sec θ = 13/5

cot θ = 5/12

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Answer:

2400

Step-by-step explanation:

1. First find the hundredths place (you see 3)

2. Look at the number to it's right (8)

3. If it's neighbor is 5 or greater you add 1 to the hundredths place and make the rest of the digits behind it zero. (in this case it is)

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

The value of d after addition or subtraction is 7.5

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.

Given that : the equation is 5.5 = −2+d

5.5 = −2+d

5.5 + 2 = d

7.5 = d

The value of d after addition or subtraction is 7.5

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Answer:

n = 2

Step-by-step explanation:

14 = n

7       1

cross-multiply:  7n = 14

n = 2

Answer:

a.) g(x) = 3x + 2

b.) $26

Step-by-step explanation:

*Equation is assuming only one person is playing so only 1 shoe rental is needed*

a.) First we need to write an equation that represents the situation.

We know that for every game it costs $3 and for every shoe rental it costs $2.

However, you don't need to buy new shoes for every game, therefore the $2 become a one-time fee. Games, though, you need to pay $3 each time, so it becomes a changing, independent variable x. Knowing this, you can form an equation below with g(x) representing total cost and x representing the number of games played.

g(x) = 3x + 2

b.) Now that you know the equation, plug numbers in to find the cost of 8 games. Since the variable 'x' represents the number of games and you need to find the total cost, plug in the number 8 for x as shown below:

total cost = 3( 8 games ) + 2

total cost = $24 + $2

total cost = $26

Answer:

anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers

Answer:C

Step-by-step explanation:

Answer:

Domain:  (-infinity, infinity)

Range:  [0, infinity)

Step-by-step explanation:

y = 4x^2 is a quadratic function whose parabolic graph goes through (0, 0) and opens upward.  (0, 0) is both the vertex and the minimum of this function and graph.  Here x can take on any value, but y is limited to [0, infinity).

The blue line represents rise and red line run.

The slope of the line is 3/7.

Given,

The graph.

The rise and the run are terms used to describe changes in height between two points. Rise divided by Run is what determines the slope: slope =rise/  run . By examining the rise and run, you can infer the slope of a line from its graph.

We have to find the line representing rise and the line representing run of the line. And also slope of the line.

Here,

Blue line in 3 grids represents rise.

Red line in 7 grids represents run.

Now,

Slope of the line = rise / run

Slope of the line = 3/7.

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Answer:

km square is the area and square km is the same as km square

The missing statements and reasons in the proof are:

R3: Alternate Interior ∠s theorem

S4: Reflexive property

R5: ASA

A proof involves statements that are stated on one column, then followed by reasons that justify the statements stated, on another column.

The missing statements and reasons in the given proof above are explained below:

Statement                                                    Reason                                            

1. Parallelogram ABCD with diagonal AC  1. Given

2. AB║CD and AD║BC                               2. Def. of parallelogram

3. ∠1 ≅ ∠2 and ∠3 ≅ ∠4                             3. Alternate Interior ∠s theorem

4. AC ≅ AC                                                  4. Reflexive property

5. ΔABC ≅ ΔCDA                                       5. ASA

6. AB ≅ CD and AD ≅ BC                          6. CPCTC

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

y = 1.5x + 1.5

Step-by-step explanation:

Since it says it is growing at a constant rate, it means that is linear.

The linear formula follows this form: y = mx + c, where m is the gradient and c is the y-intercept

To find the gradient, you sub the values into the gradient formula.

That would be 4.5 - 3.0 divided by 2-1

That would be 1.5/1 = 1

Hence the gradient is 1.5

y = 1.5x + c

To find c, you sub in one point into the equation

I'm going to go with (3, 6.0)

6 = 1.5*(3) + c

6 - 4.5 = c

c = 1.5

Hence the formula is: y = 1.5x + 1.5

The function that can be used to represent the price of a share of stock is given below. Then the correct option is C.

\(\rm P = 5.36 \left [ \left (1.0415 \right )^{\frac{1}{12}} \right ]^{26}\)

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

On the last day of April 2009, the price of a share of stock in a major entertainment corporation was $5.36.

Over the next 4 years, the annual growth rate was 4.15%.

The growth in the price of this stock can be modeled by the function

\(\rm P = 5.36 \times (1.0415)^t\)

Where P represents the price, in dollars, and t represents the number of years since the last day in April 2009.

Then the function can be used to represent the price of a share of stock in this entertainment corporation on the last day of June 2011 will be

The number of the years will be

t = 26 / 12

Then the function will be

\(\rm P = 5.36 \left [ \left (1.0415 \right )^{\frac{1}{12}} \right ]^{26}\)

Then the correct option is C.

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