below is a table showing the investment and the investment period of ​

Answer:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Step-by-step explanation:

To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.

Given:

Cruise ship velocity (south): 22 mph

Gulf Stream velocity (east): 4 mph

A) Vector component for the cruise ship:

The cruise ship is traveling south, so its velocity vector is (0, -22).

B) Vector component for the Gulf Stream:

The Gulf Stream is flowing east, so its velocity vector is (4, 0).

C) Resultant vector:

To find the resultant vector, we'll add the two velocity vectors together:

Resultant vector = Cruise ship velocity + Gulf Stream velocity

Resultant vector = (0, -22) + (4, 0)

Resultant vector = (0 + 4, -22 + 0)

Resultant vector = (4, -22)

D) Resultant velocity:

The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:

Resultant velocity = sqrt((x-component)^2 + (y-component)^2)

Resultant velocity = sqrt((4)^2 + (-22)^2)

Resultant velocity = sqrt(16 + 484)

Resultant velocity = sqrt(500)

Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)

E) Resultant direction:

The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.

Resultant direction = arctan(y-component / x-component)

Resultant direction = arctan(-22 / 4)

Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)

Therefore, the answers are:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Answer:

velocity of the car is 16.667

Step-by-step explanation:

first

changing si unit of both km and hrs into meter and second

then

v= m/s

v=240000/14400

v= 16.667m/s

Answer:

answer

Step-by-step explanation:

Velocity equals distance divided by time.

240 km divided by 4 h

Velocity equals 60 km/h W

9514 1404 393

Answer:

  164π cm²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...

  1/2A = (1/2)(π)(d/2)² = (π/8)d²

The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.

The total area will be ...

  area of largest + area of middle-size - area of smallest

  = (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²

The area of the shape is 164π cm².

Answer:

  no solution

Step-by-step explanation:

Subtract 10y from both sides of the equation:

  10y -10y = 10y -10y -2

  0 = -2 . . . . FALSE

There are no values of y that will make this be true. The given equation has NO SOLUTION.

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer:

n=0.6

Step-by-step explanation:

We want to get n alone so we can divide each side by 0.09.

So then n= 0.054/0.09.

n=0.6

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

The order cycle length that would require the buyer to hold the most total inventory during lead time is 8 days with \(\pm\) 5 days of variation, as it has the widest range of variation, and thus, the most variability to be covered by safety stock.

The order cycle length and the variability in demand and lead time both affect the amount of inventory that a buyer needs to hold during lead time. The longer the order cycle length, the more inventory the buyer needs to hold during lead time to cover demand until the next order arrives. On the other hand, the greater the variability in demand and lead time, the more safety stock the buyer needs to hold to avoid stockouts.

We must take into account both the order cycle length and the fluctuation in demand and lead time to determine which of the mentioned order cycle lengths would need the buyer to keep the highest total inventory during lead time.

The order cycle lengths are:

10 days, \(\pm\) 4 days

10 days, \(\pm\) 2 days

9 days, \(\pm\) 3 days

8 days, \(\pm\) 5 days

The variability in demand and lead time is greater in the orders with wider ranges of variation. Therefore, we can calculate the range of variation for each order cycle length by adding the maximum variation in demand and the maximum variation in lead time:

10 days, \(\pm\) 4 days: range of variation = 4 + 4 = 8 days

10 days, \(\pm\) 2 days: range of variation = 2 + 2 = 4 days

9 days, \(\pm\) 3 days: range of variation = 3 + 3 = 6 days

8 days, \(\pm\) 5 days: range of variation = 5 + 5 = 10 days

Hence, the order cycle length with the greatest range of variation, and hence the most variability that needs to be covered by safety stock, is 8 days with \(\pm\) 5 days of fluctuation. This order cycle length would need the buyer holding the highest total inventory throughout lead time.

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The real answer is 6

Step-by-step explanation:

the width of the path is 6 meters.

Let's assume the width of the path is represented by 'x' meters.

The overall dimensions of the combined pool and path would be:

Width = 8 + 2x

Length = 24 + 2x

To calculate the area of the combined pool and path, we multiply the width and length:

Area = (8 + 2x) * (24 + 2x)

Given that the area is 720 square meters, we can set up the equation:

(8 + 2x) * (24 + 2x) = 720

Expanding the equation:

192 + 16x + 48x + 4x² = 720

4x² + 64x + 192 = 720

Rearranging the equation:

4x² + 64x - 528 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. After solving the equation, we find that x = 6.

Therefore, the width of the path is 6 meters.

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Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

The exit to the restaurant is at mile marker 190. The car passed the 250-mile marker twice, once at 1:48 PM and again at 1:50 PM.

Distance is a measure of the physical space between two points or objects. It is often measured in units such as meters, feet, or miles, depending on the system of measurement being used. Distance can be measured in a straight line, also known as the "as-the-crow-flies" distance, or it can be measured along a curved path, such as a road or a hiking trail.

Here's a graph of the car's position as a function of time:

    |                           .

    |                       .

    |                    .

    |                 .

    |              .

    |          .

    |      .

    |  .

----+---------------------------> Highway Mile Markers

    160           x           y

The car travels north from mile marker 160 at a rate of 50 mph for 3 hours, so it covers a distance of 150 miles and reaches mile marker 310 at 1:00 PM. Then, the car travels south at a rate of 60 mph for 2 hours, covering a distance of 120 miles. The location of the restaurant can be found by subtracting the distance traveled south from mile marker 310: 310 - 120 = 190. So the exit to the restaurant is at mile marker 190.

To find the time(s) the car passed the 250-mile marker, we can set up two equations:

Northbound: 160 + 50t = 250

Southbound: 310 - 60t = 250

Solving the first equation gives t = 1.8 hours, or 1:48 PM. Solving the second equation gives t = 1.83 hours, or 1:50 PM. So the car passed the 250-mile marker twice, once at 1:48 PM and again at 1:50 PM.

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Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

vertical

Step-by-step explanation:

When two lines intersect, 4 angles are formed. Two non-adjacent angles are called vertical angles.

Answer: vertical

Answer:

Vertical

Step-by-step explanation:

Just did the lesson and checked the answer key :D

In order to calculate the percentage that enjoy New Years Eve only, we can use the diagram and formula below:

Using F to represent Fourth of July, N to represent New Years Eve and M to represent Memorial Day, the formula is:

From the given data, we have:

P(N) = 28% = 0.28

P(F and N) = 18% = 0.18

P(M and N) = 12% = 0.12

P(all three) = 5% = 0.05

So P(N only) is:

Answer: 6, 5, 4

Step-by-step explanation:

The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.

Answer:

6,5,4

Step-by-step explanation:

the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

slope m = - \(\frac{1}{3}\)

Step-by-step explanation:

calculate the slope m of the line using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 2) ← 2 points on the line

m = \(\frac{2-3}{3-0}\) = \(\frac{-1}{3}\) = - \(\frac{1}{3}\)

• Parallel lines have equal slopes

then parallel line will have a slope of - \(\frac{1}{3}\)

The equation of the line is expressed in slope-intercept form as:

y = -8.2x - 60.6

The equation of a line that passes through point (8, 5) and has a slope of -8.2 can be written in slope-intercept form as y = mx + b, where we have:

m as the slope

b as the y-intercept.

Find the y-intercept by substituting x = 8, y = 5, and m = -8.2 into y = mx + b:

5 = -8.2(8) + b

5 = 65.6 + b

5 - 65.6 = b

b = -60.6

Substitute m = -8.2 and b = -60.6 into y = mx + b:

y = -8.2x - 60.6

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The saving $100 at the end of each quarter for 15 years in an ordinary annuity that earns 5.4% interest, compounded quarterly, the Smith family would have $29,161.66 to travel the world.

An ordinary annuity is a stream of regular payments that are paid at the end of each period, such as quarterly, annually, or monthly. The Smith family intends to invest in an ordinary annuity to save money for a trip around the world.To compute the future value of a regular annuity,

the following formula is used:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n)where FV = future value, PMT = payment amount, r = interest rate per compounding period, n = number of compounding periods per year, and t = number of years of the investment.The Smith family's ordinary annuity has a 5.4% interest rate, compounded quarterly. As a result, the quarterly interest rate is: 5.4% / 4 = 1.35%.

The interest rate per compounding period is then converted to decimal form: 1.35% / 100 = 0.0135.The number of compounding periods per year is calculated by dividing the annual interest rate by the quarterly interest rate: 5.4% / 1.35% = 4.The number of payments the Smith family would make over a period of 15 years is: 15 years * 4 payments/year = 60 payments.

Finally, the future value of the annuity is calculated using the formula:FV= PMT [ (1+r/n)^n*t - 1 ] / (r/n) = PMT [(1+0.0135)^60 - 1]/ (0.0135)If the Smith family wants to save $100 at the end of each quarter, the calculation is as follows:FV = $100 [ (1+0.0135)^60 - 1 ] / (0.0135) = $29,161.66

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

The surface area is 972 square cm

Step-by-step explanation:

Numeric Value of Functions

Given the function:

A = 252 + 4sh

Where A is the surface area of a square prism , s is edge length of the base  h is the height.

A square prism has a base with edges s=12 cm long and height of h=15 cm.

Substituting these values, we get:

A = 252 + 4(12)(15)

A = 252 + 720 = 972

A = 972

The surface area is 972 square cm

The surface area of the square prism is 1008 cm².

Surface area of a square prism:

where

s = edge side

h = height

Therefore,

s = 12 cm

h = 15 cm

surface area = 2 × 12² + 4 × 12 × 15

surface area = 2 × 144 + 48 × 15

surface area = 288 + 720

surface area = 1008

surface area = 1008 cm²

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Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

Answer:

Step-by-step explanation:

-3√(4)(10)  - √(16)(10)

-3(2)√(10) - 4√(10)

-6√(10) - 4√(10)

-10√(10)

...

Calculate Energy Cost by Appliance

as 2x+4y=2x+4y. We would get that 10=-10. But that is impossible. So the answer is no solution

Answer

The estimated number of plants after 3 months using the logistic model = 70 blackberry plants

Explanation

If a population is growing in a constrained environment with carrying capacity K, and absent constraint would grow exponentially with growth rate r, then the population behavior can be described by the logistic growth model:

From the question,

After the first month,

After the second month,

So after 3 months,

The estimated number of plants after 3 months using the logistic model = 70 blackberry plants.

Answer:

28/3 approximated to 9 1/3

Step-by-step explanation:

multiply the fractions and estimate it to it's alternativve form

For given ratio of orange juice and pineapple juice i.e. 5/6, proportion used to find the amount of orange juice, j, that is needed to add to 21 L of pineapple juice will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

What exactly is a ratio?

Fractions are commonly used to describe ratios and proportions. A ratio is demonstrated when a fraction is expressed as a:b, whereas a percentage indicates that two ratios are equal. a and b can be any two numbers in this situation. The ratio and proportion are two fundamental ideas that lay the groundwork for comprehending other concepts in mathematics and science.

We use the concept of ratio and proportion in our daily lives, such as in business when dealing with money or in cooking.

As a result, when b is larger than zero, the ratio, such as a:b, defines the relationship between two variables. For example, the 2:4 ratio is expressed as 2:4 = 1:2.

Now,

Given that In recipe ratio of  orange juice / pineapple juice =5/6

then to make a recipe with 21 L of pineapple juice, the orange juice (j)

needed will be

5/6=j/21

j=17.5 L

hence,

           proportion used to find the amount of orange juice, j will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

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Answer: its D

Step-by-step explanation:

pls i belieive most of yall are npcs