A scuba diver descended to an elevation of 250 feet, examined some coral, and then ascended 14 feet to observe a school of clownfish. At what elevation was the school of clownfish

Answer: 492 miles

Step-by-step explanation:

The first thing to do in such a question is to find out the number of miles Violet can go on 1 gallon.

That figure is:

= 369 / 12

= 30.75 miles per gallon

With 16 gallons therefore, she can go:

= 16 * 30.75

= 492 miles

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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Answer:

- There are more points above the line than below

- This is not a line of best fit

Step-by-step explanation:

       If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.

\(\\ \tt\longmapsto \dfrac{Ahmed}{Nora}\)

\(\\ \tt\longmapsto \dfrac{450}{400}\)

\(\\ \tt\longmapsto \dfrac{9}{8}\)

\(\\ \tt\longmapsto 9:8\)

Ratio

\(\\ \tt\longmapsto \dfrac{400}{850}\)

\(\\ \tt\longmapsto 8:17\)

Answer:

zero

Step-by-step explanation:

Answer:

I got this same question on my quiz, so I added the other two questions as well, with their answers.

Step-by-step explanation:

1. What is the standard deviation of the data set? Round to the nearest tenth if needed.

2, 4, 7, 8, 9

Answer: 2.9

2. Data Set A has a mean of 215 and a standard deviation of 35. Data Set B has a mean of 400 and a standard deviation of 12. Which data set is more spread out?

Answer: Data Set A

3. What is the standard deviation of a data set whose values are all the same?

Answer: 0

Answer:

33.8 ÷ 4 = 8.45

4 ÷ 33.8 = 0.118343195266

Step-by-step explanation:

Answer:

4) 49 degrees

plz mark as brainliest

Answer:

the answer is no4 hope it helps u

Answer:

350mlliliters = 0.35liters

9liters = 9000milliliters

Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

\((1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ \)

\((2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62\)

Your question: Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.

Answer:

sin(θ) =  -15/17

cos(θ) =  8/17

tan(θ) =  -15/8

csc(θ) =  -17/15

sec(θ) =  17/8

cot(θ) =  -8/15

Answer:

a

Step-by-step explanation:

Let x = pounds of raisins

Let y = pounds of walnuts

The first linear equation for the system is representing COST

The second linear equation for the system is representing WEIGHT

Hence the two-equation for each constraint are

Answer:

9 + 1.35 + one-half (3.50 + 1.74)

Step-by-step explanation:

Sally pay

9 - adult ticket

1.35 - drink

1/2 ( 3.50 popcorn + 1.74 veggie cup)

= 9 + 1.35 + 1/2(3.50 +1.74)

Answer:

y=-16/17x+12/17

Step-by-step explanation:

check out the attached photo!

Answer:

A. 584.6 or 585.

Step-by-step explanation:

Answer:

a. 584.6 ft²

Step-by-step explanation:

Area of regular hexagon by the length of side: 3√3/2 * side²

area = 3√3/2 * 15² = 584.57

Answer:

W.H.O

Step-by-step explanation:

ask my shoe and your mama

p=20+25c because it i did this on paper so i got what it equals to

Answer: 8.25 miles in 2 3/4 hours

Step-by-step explanation:

Mathematical approaches to aggregate planning involve using quantitative methods to determine the optimal production and resource allocation strategies over a specified planning horizon. These approaches utilize mathematical models to optimize various factors such as production costs, inventory levels, and customer demand.

One mathematical approach to aggregate planning is linear programming, which formulates the planning problem as a linear optimization model. Linear programming considers constraints such as capacity limits, labor availability, and demand variability to find the best allocation of resources and production levels. The objective is to minimize costs or maximize profit while meeting demand requirements.

Another approach is the use of mathematical forecasting techniques to predict future demand. Time series analysis, regression analysis, and other statistical methods can be employed to forecast demand patterns. These forecasts serve as inputs to mathematical models, such as inventory control models or production planning models, which determine the optimal production levels and inventory policies based on the anticipated demand.

Simulation modeling is another mathematical approach where computer-based simulations are used to evaluate different scenarios and make decisions about production levels, inventory levels, and workforce scheduling. These models consider various factors like demand variability, production capacity, and resource availability to simulate the system's behavior and analyze the impact of different planning strategies.

Overall, mathematical approaches to aggregate planning provide a systematic and quantitative way to optimize production and resource allocation decisions, considering factors such as demand, capacity, costs, and constraints. These approaches help organizations make informed decisions to meet customer demand efficiently while minimizing costs and maximizing operational performance.

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Answer:

x = 6

Step-by-step explanation:

8x + 2 + 70 + 60 = 180

8x + 132 = 180

8x = 48

x = 6

Answer:

The distance between the two points is approximately 11 units

Step-by-step explanation:

Here, we are to give the distance between the given two points to the nearest whole number;

To calculate the distance, we shall be using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (5,6)

(x2,y2) = (1,-4)

D = √(1-5)^2 + (-4-6)^2

D = √((-4)^2 + (-10)^2

D = √(16+100)

D = √(116)

D = 10.77 units which is approximately 11 units

The maximum width w of the gorge that the secret agent can clear is approximately 23.12 meters.


To calculate the maximum width w of the gorge that the secret agent can clear, we can use the equations of projectile motion and consider the agent's initial speed, slope angle, and height difference.

Given:
Initial speed: v0 = 12.4 m/s
Slope angle: θ = 28.1 degrees
Height difference: h = 14.1 m

First, we need to find the time it takes for the agent to reach the same height as the other slope. Using the kinematic equation for vertical motion:

h = (1/2) * g * t^2

Solving for time t:

t^2 = (2 * h) / g

t = √((2 * h) / g)

Next, we find the horizontal displacement x using the horizontal velocity component v0x = v0 * cos(θ):

x = v0x * t
x = v0 * cos(θ) * √((2 * h) / g)

Substituting the given values:
x = 12.4 * cos(28.1 degrees) * √((2 * 14.1) / 9.8)

Calculating x:
x ≈ 23.12 m

Hence, the maximum width w of the gorge that the secret agent can clear is approximately 23.12 meters.

If the width of the gorge is less than or equal to this value, the agent will be able to clear it successfully.

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The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

The recursive equations for the given two interacting population of hares and foxes are

h(t+1)=4h(t)-2f(t)

f(h+1)=h(t)+f(t)

for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)

h(t) = 100(2t+1)

f(t) = 100(2t-1)

h(t) = 200(2t+1)

f(t) = 100(2t-1)

h(t) = 300 + 200(2t+\((-1)^{t}\))

f(t) = 200 - 100\((-1)^{t}\)

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

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Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

Answer:

8:11 a.m.

Step-by-step explanation:

We need top subtract 5:47 from 1:58 pm.

Since we cannot subtract 5 from 1, we add 12 to the 1:58 hours digit.

1 + 12 = 13

1 pm is 13 hours of the day.

13:58 - 5:47 = 8:11

Answer: 8:11 a.m.

Answer:

35 degrees

Step-by-step explanation:

(180-x)= supplement

(90-x)=complement

(180-x)-2(90-x)=35

180-x-180+2x=35

x=35

Answer:

The second one, (x+1)(3x+2)

The answer is (x+1)(3x+2)

hope it helps

Answer:

9:15

girls : boys

Step-by-step explanation:

Answer:

9:15

Or 3:5 when reduced

Step-by-step explanation:

Answer:

The function is a direct variation function with a constant of variation of 1.5.

Step-by-step explanation:

I just took the test :/

Answer:

The function is a direct variation function with a constant of variation of 1.5.

Step-by-step explanation: