A submarine was situated 642 feet below sea level. If it ascends 250 feet,
what is its new position? *
- 392 feet
- 892 feet
392 feet
892 feet
Anyone know the answer???

Answer:

u = vector (-6 , -6)

Step-by-step explanation:

u = vector(a , b)

Left (-) 6 units and down (-) 6 units

The translation vector for the image is (-6,-6).

A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. Vectors are given in the form ( x y ) where x is the movement horizontally and y is the movement vertically.

For the given situation,

The image of a point (1, 2) under a translation is (-5, -4) .

The translation vector can be found by calculating the movement horizontally and vertically as

⇒ \((-5-1,-4-2)\)

⇒ \((-6,-6)\)

Hence we can conclude that the translation vector for the image is (-6,-6).

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Step-by-step explanation:

Hey there!

Your required answer is option B.

Reason: The coordinates of B is (2,4).

The formula for rotating the coordinates 90° clockwise is; (x,y)------(y,-x).

So, using this formula we get;

Answer; (4,-2).

Hope it helps...

The new coordinates of point B are (4,-2). So, option C is correct.

Important information:

From the given graph, it is clear that the coordinates of point B are (2,4).

If a figure is rotated 90° clockwise about the origin, then

\((x,y)\to (y,-x)\)

Using the above rule, we get

\(B(2,4)\to B'(4,-2)\)

Therefore, the option C is correct.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

-5

Step-by-step explanation:

-34=7x+1

-34 -1=7x

7x = -35

x = -5

The sum is a binomial with a degree of 6 after adding like terms, and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two polynomials:

3x²y² - 2xy⁵ and -3x²y² + 3x⁴y

Adding two polynomials:

= (3x²y² -2xy⁵) + (-3x²y² + 3x⁴y)

= -2xy⁵ + 3x⁴y

The expression represents a binomial with degree 6(1+5) because it has two terms.

Thus, the sum is a binomial with a degree of 6 after adding like terms and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

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The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Step-by-step explanation:

there must be something else missing in the question.

there are many curve like this have same turning point.

Answer:

Step-by-step explanation:

You want the standard form monic quadratic equation with turning point (4, 5).

The vertex is (h, k) = (4, 5), and the vertex form equation is ...

  y = (x -h)² +k

  y = (x -4)² +5

  y = (x² -8x +16) +5 . . . . expand the square

  y = x² -8x +21 . . . . . . . collect terms

The values of 'a' and 'b' are -8 and +21, respectively.

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

\(m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}\)

The correct option should be Option D.

Hope this helps you.

The simplified expression are as follows;

6mn³ - mn² +  3mn³ + 15mn² =  9mn³ + 14mn²

a⁴b³ + 8a⁴b³  = 9a⁴b³

A simplified expression is express to its lowest term.

Therefore,

6mn³ - mn² +  3mn³ + 15mn²

combine like terms

6mn³  +  3mn³ - mn² + 15mn²

9mn³ + 14mn²

a⁴b³ + 8a⁴b³  = 9a⁴b³

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The value of the triple integral is 72π.

To evaluate this triple integral in cylindrical coordinates, we first need to express the region E using cylindrical coordinates.

The cylinder x² + y² = 16 can be expressed in cylindrical coordinates as r² = 16, or r = 4. The planes z = -5 and z = 4 define a region of height 9.

So, the region E can be expressed in cylindrical coordinates as:

4 ≤ r ≤ 4

-5 ≤ z ≤ 4

0 ≤ θ ≤ 2π

The integrand √(x² + y²) can be expressed in cylindrical coordinates as r, so the integral becomes:

∭E√x²+y²dV = ∫0²π ∫4⁴ ∫-5⁴ r dz dr dθ

Note that the limits of integration for r are from 0 to 4, which means we are only integrating over the positive x-axis. Since the integrand is an even function of x and y, we can multiply the result by 2 to get the total volume.

The integral with respect to z is easy to evaluate:

∫₋₅⁴ r dz = r(4 - (-5))

= 9r

So the triple integral becomes:

∭E√x²+y²dV = 2 ∫0^2π ∫4⁴ 9r dr dθ

= 2(9) ∫0^²π 4 dθ

= 72π

Therefore, the value of the triple integral is 72π.

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Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

Once someone outlines their solution and how they approached the challenge, clarifying questions should be asked.

List the parallels and differences between several approaches to solving the issue.

Find the mistake in a wrong response, and then provide proof to support your claim.

Create strong arguments and evaluate other people's reasoning.

What It Means: When kids can give us the right answer and explain how they arrived at it, we know they fully understand a topic.

So, in the given situation the red dot represents the value of 1/3, and thus Craig is correct that the given number line represents the value of 1/3.

Therefore, Craig is accurate in that the supplied number line reflects the value of 1/3 since in the situation at hand, the red dot represents the value of 1/3.

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A. limt→∞T(t) = 25∘C

B. limt→∞dT/dt = 0

C.  k = -1/20

D. T(5) = 93.808∘C

A. To find the limiting value of the temperature of the coffee, we can observe that as time goes to infinity, the temperature difference between the coffee and the room temperature will approach zero. Therefore, the limiting value of the temperature of the coffee is the room temperature, Troom = 25∘C.

Answer: limt→∞T(t) = 25∘C

B. The rate of cooling is given by the derivative dT/dt. As the coffee approaches the room temperature, the rate of cooling will approach zero since the temperature difference between the coffee and the room temperature decreases. Therefore, the limiting value of the rate of cooling is zero.

Answer: limt→∞dT/dt = 0

C. We are given that the coffee cools at a rate of 2∘C per minute when its temperature is 65∘C. We can use this information to find the constant k in the differential equation.

dT/dt = k(T - Troom)

When T = 65 and dT/dt = -2, we can substitute these values into the differential equation:

-2 = k(65 - 25)

-2 = 40k

Solving for k:

k = -2/40

k = -1/20

Answer: k = -1/20

D. To use Euler's method with a step size of h = 1 minute to estimate the temperature of the coffee after 5 minutes, we can start with the initial temperature T(0) = 95∘C and use the following iteration:

T(n+1) = T(n) + h * dT/dt

Using the given value of k = -1/20, we can calculate the estimate:

T(1) = T(0) + 1 * (-1/20) * (T(0) - Troom)

T(2) = T(1) + 1 * (-1/20) * (T(1) - Troom)

T(3) = T(2) + 1 * (-1/20) * (T(2) - Troom)

T(4) = T(3) + 1 * (-1/20) * (T(3) - Troom)

T(5) = T(4) + 1 * (-1/20) * (T(4) - Troom)

Substituting the initial temperature T(0) = 95∘C, the room temperature Troom = 25∘C, and k = -1/20:

T(1) = 95 + (-1/20) * (95 - 25)

T(2) = T(1) + (-1/20) * (T(1) - 25)

T(3) = T(2) + (-1/20) * (T(2) - 25)

T(4) = T(3) + (-1/20) * (T(3) - 25)

T(5) = T(4) + (-1/20) * (T(4) - 25)

Performing the calculations:

T(1) = 94.75∘C

T(2) = 94.5125∘C

T(3) = 94.27640625∘C

T(4) = 94.041629296875∘C

T(5) = 93.80817783460937∘C

Answer: T(5) = 93.808∘C

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Answer:

\(\frac{45}{c}\)

Step-by-step explanation:

Playoff games played = 45

Number of days taken for the playoff games = c days

Number of playoff games played in one day = \(\frac{\text{Number of games played}}{\text{Total number of days}}\)

= \(\frac{45}{c}\)

Therefore, expression for the number of playoff games played in a day = \(\frac{45}{c}\)

Answer:

The expression is:

5x + 2v - 5

The terms in this expression are:

5x, with a coefficient of 5

2v, with a coefficient of 2

-5, with a coefficient of -5

So the coefficients are 5, 2, and -5 respectively.

Answer:

B: 2²

Step-by-step explanation:

3(7+2²) - 5

PEMDAS says parentheses first

Then we do the order of operations inside the parentheses

Exponents are the first thing inside the parentheses

Answer:

Step 1:

Draw a graph - Put Customers on the x-axis and Tips on the y-axis

Equation of a line = mx + c

Then look for where the line crosses the x-axis (this is "c")

Choose two points and find the gradient using this formula:

Change in y/change in x

The number you just got is your "m"

Put it all together and you have y = Mx + C

Hope this helps please mark as brainliest :P

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.

See the attached graph.

The line of best fit is:

The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.

In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.

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Answer:

4+4=8 8-8=0 0-9=-9 -9/12=3 3/2=1 ½

Step-by-step explanation:

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

D

Step-by-step explanation:

120/360 x 2(pie)(10)

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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The number of free throws that a basketball player needs to make before missing one: This can be modeled by a geometric distribution, as it involves a fixed number of independent trials with a binary outcome (making or missing a free throw) and the probability of success (making a free throw) is constant.

The number of goals that a team scores in a hockey game: Poisson distribution is often used to model the number of events occurring in a fixed interval of time when the events are rare and random.

The time of day that the next major earthquake occurs in Southern California: This can be modeled by an exponential distribution, which is often used to model the time between rare and random events.

The number of minutes before a store manager gets her next phone call: This can also be modeled by an exponential distribution, as the time between calls is often random and rare.

The number of 3's that appear in 20 rolls of a die: This can be modeled by a binomial distribution, as it involves a fixed number of independent trials with a binary outcome (rolling a 3 or not rolling a 3).

The number of days out of the next 10 that a stock will go up: This can be modeled by a binomial distribution, as it involves a fixed number of independent trials with a binary outcome (stock goes up or does not go up).

The amount of time before the next customer arrives in a store: This can be modeled by an exponential distribution, as the time between customers is often random and rare.

The number of particles that a radioactive substance emits in the next two seconds: This can be modeled by a Poisson distribution, as the number of emissions in a fixed interval of time is often rare and random.

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In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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The inequality is represented by the polynomial y ≥ 3.6 · (x - 11.5) · (x + 3.5).

What is the expression of the quadratic inequality?

Herein we must derive the quadratic expression within an inequality of the y ≥ f(x) based on its two roots and a known point on the curve. We can find the coefficients of the quadratic function by solving this system of linear equations:

(x₁, y₁) = (- 3.5, 0)

12.25 · a - 3.5 · b + c = 0       (1)

(x₂, y₂) = (11.5, 0)

132.25 · a + 11.5 · b + c = 0       (2)

(x₃, y₃) = (8.5, - 54)

72.25 · a + 8.5 · b + c = - 54     (3)

The solution of the system is a = 3.6, b = - 54, c = 144.9.

Thus, the inequality is represented by the polynomial y ≥ 3.6 · x² - 54 · x + 144.9, whose factored form is determined by the quadratic formula:

y ≥ 3.6 · (x² - 15 · x + 40.25)

y ≥ 3.6 · (x - 11.5) · (x + 3.5)

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Answer:

5. Obtuse

6. Right

7. Acute

Step-by-step explanation:

5. 5,12,15

The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.

6. 6,8,10

The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.

7. 12,10,13

The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.

Answer:

8 ft

Step-by-step explanation:

We can use ratios to solve

tree                          Otis

--------------------  = --------------

tree shadow          Otis shadow

tree                   4 ft

-------------- = ----------------

9 ft                   4.5 ft

Using cross products

4.5 tree = 4* 9

4.5 tree = 36

Divide each side by 4.5

tree = 36/4.5

tree =8

Answer:

176

Step-by-step explanation:

you multiply the numbers 4 4 and 11 to get 176

The perpendicular bisector of the segment is attached in below.

What is meaning of perpendicular bisector?

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.

The steps to draw perpendicular bisector mentioned below:

Step 1: Sketch a line segment XY.

Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width being greater than half length of the line segment.

Step 3: Carry out Step 2 but using Y as the center.

Step 4: Write "P" and "Q" next to the junction points.

Join the points "P" and "Q" in step five. The midpoint of the line segment XY is where the perpendicular bisector PQ intersects it. Affix a "O" to it.

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