HELP ASAP !!

which answers describe the shape below ? check all that apply

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

64 pizzas

Step-by-step explanation:

4 hours is 240 minutes

12 x (240 / 45) = 64

Answer: 64

Step-by-step explanation:

Alright. We are trying to find out how many pizza's they can make in every 15 mins so we can find out each hour. 45 divided by 3 is 15, and 12 divided by 3 is 4, so they can make 4 pizzas in 15 mins and multiply that by 4 is 16 pizzas in 1 hour. We are looking for 4 hours though so we just multiply 16 by 4 and we get 64.

Answer:

1 hour=60 minutes].

Step-by-step explanation:

Answer:

speed×time

80×3hours and 15min

(3hours)

15÷60=0.25hours

3.25h

80×3.25=260

This question is incomplete because it was not properly written

Complete Question

Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

Answer:

Marcus is right, the answer is -22

Step-by-step explanation:

The expression to simplify is given as

-(5²)+ 3

= -(25) + 3

= - 22

This is the correct answer. Marcus when simplifying his expression took note of the bracket or parentheses sign. This is very important.

Jeremy got 28. His answer is wrong because he squared -5 directly without taking noting that it was in a bracket or parentheses.

Hence this was Jeremy's calculation

-(5²) + 3

= 25 + 3

= 28

Jeremy's answer was wrong. He did not recognize the bracket in his calculation.

Answer:

Marcus is correct and Jeremy is not

Step-by-step explanation:

Jeremy is wrong because he put -5 instead of 5 The negative is not within parentheses.

the coordinates of the point of intersection are (-2, 6, -3).

Line:

x = t

y = 2 - 2t

z = 3 + 3t

Plane:

x + y + z = 1

Substituting the equations of the line into the plane equation, we get:

t + (2 - 2t) + (3 + 3t) = 1

Simplifying the equation:

2t + 5 = 1

2t = -4

t = -2

Substituting the value   of t back into the equations of the line, we can find the coordinates of the point of intersection:

x = -2

y = 2 - 2(-2) = 6

z = 3 + 3(-2) = -3

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-5x3 +9

Step-by-step explanation:

because 5 x 3 is 15 and you have negative marks by the numbers so 15 - 6 would be 9 So you'd add 9 to the fifteen and then you have negative 6

Poor road conditions, a slippery surface, or the undertow of the ocean are examples of the following type of factors that may cause injury are  human behavior, awareness, and response

Let's consider poor road conditions as an example. When roads are in a state of disrepair, they may contain potholes, loose gravel, or uneven surfaces. To evaluate the risk of injury, we can assign a probability value to the occurrence of an injury given the presence of poor road conditions. This probability could be denoted as P(injury|poor road conditions).

Similarly, a slippery surface, such as a wet floor or icy pavement, can also increase the chances of injury. By assigning a probability value to the event of injury given a slippery surface, we can express it as P(injury|slippery surface).

Lastly, the undertow of the ocean refers to a strong current beneath the water's surface that can pull swimmers away from the shore. To analyze the risk of injury in this scenario, we can again assign a probability value to the event of injury given the presence of an undertow, represented as P(injury|undertow).

To further understand the overall risk, we can consider the joint probability of multiple factors occurring simultaneously. For example, if both poor road conditions and a slippery surface are present, we can calculate the joint probability of injury as P(injury| poor road conditions and slippery surface).

This joint probability provides insight into the combined impact of these factors on the likelihood of injury.

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The inequality that represents the number d of dragonfly’s you must catch to earn a new high score, d> 1200.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

To set a new record, you must score at least

= 36,480 – 34,280

= 2,200 points.

When you have earned 35,000-34,280 points, you need 720 more to qualify for the bonus.

Total = 36,000 points after obtaining 720 dragonflies.

Bonus points = 1000 points.

As, we need more than 480 additional dragonflies to surpass your previous best.

So, The total of all the dragonflies shows that more than 1200 are required.

Then, the inequality is d> 1200.

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Answer:

0.0687

Explantion:

0.0007

  0.008

       0.6 +

____________

   0.0687

Answer:

Step-by-step explanation:

Answer is 30

We can conclude that the function f(t) is increasing at a varying rate over the interval [3, 3.1], and the average rate of change of 17.9 is a representation of this changing rate over the interval.

We are given the function f(t) = 4t^2 - 5 and the interval [3, 3.1]. We can find the average rate of change of f(t) over this interval using the formula:

average rate of change = [f(3.1) - f(3)] / [3.1 - 3]

First, we calculate f(3) and f(3.1):

f(3) = 4(3)^2 - 5 = 31

f(3.1) = 4(3.1)^2 - 5 = 36.59

Substituting these values into the formula, we get:

average rate of change = [36.59 - 31] / [3.1 - 3] = 17.9

So the average rate of change of f(t) over the interval [3, 3.1] is 17.9.

To compare this average rate of change with the instantaneous rates of change at the endpoints of the interval, we can calculate the derivatives of f(t) at t = 3 and t = 3.1:

f'(t) = 8t

f'(3) = 8(3) = 24

f'(3.1) = 8(3.1) = 24.8

The instantaneous rate of change of f(t) at t = 3 is 24, which is less than the average rate of change over the interval. This means that the function is increasing at a slower rate at t = 3 than it is over the interval [3, 3.1].

The instantaneous rate of change of f(t) at t = 3.1 is 24.8, which is greater than the average rate of change over the interval. This means that the function is increasing at a faster rate at t = 3.1 than it is over the interval [3, 3.1].

Therefore, we can conclude that the function f(t) is increasing at a varying rate over the interval [3, 3.1], and the average rate of change of 17.9 is a representation of this changing rate over the interval.

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Answer:

Step-by-step explanation:

\(S_{n}=\dfrac{n}{2}(2a + (n-1)*d)\)

Here, n- number of terms ; d - common difference ;  a - first term

\(S_{8}=12\\\\\dfrac{8}{2}[2a+(8-1)*d]=12\\\\4[2a+7d]=12\\\\2a + 7d = \dfrac{12}{4}\\\\\\2a + 7d = 3 \ -----------------------(i)\)

\(S_{16}=56\\\\\dfrac{16}{2}(2a+15d)=56\\\\\\8(2a+15d)=56\\\\2a + 15d=\dfrac{56}{8}\\\\\\\)

2a + 15d = 7 ----------------(ii)

Subtract (i) from equation (ii)

(ii)         2a + 15d = 7

(i)          2a +   7d = 3  

           -      -          -  

                       8d = 4

                          d = 4/8

d = 1/2

Plugin d = 1/2 in equation (i)

\(2a +7*\dfrac{1}{2}=3\\\\\\2a = 3 -\dfrac{7}{2}\\\\\\2a =\dfrac{6}{2}-\dfrac{7}{2}\\\\\\2a=\dfrac{-1}{2}\\\\\\a=\dfrac{-1}{2*2}\\\\\\a=\dfrac{-1}{4}\)

Second term =  first term + d

                      \(=\dfrac{-1}{4}+\dfrac{1}{2}=\dfrac{-1}{4}+\dfrac{2}{4}=\dfrac{1}{4}\)

\(Third \ term =\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}\\\\\\Fourth \ term =\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{2}{4}=\dfrac{5}{4}\\\\\)

AP is :

\(\dfrac{-1}{4}; \dfrac{1}{4};\dfrac{3}{4};\dfrac{5}{4}.......\)

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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The volume with the amount of soup that Jayla wants to make, which is 173.3 cubic inches.

In this problem, we are given the dimensions of the soup pot - a height of 8 inches and a radius of 3 inches. To find the volume of the soup pot, we will use the formula for the volume of a cylinder, which is:

V = πr²h

where V represents volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Substituting the given values into the formula, we get:

V = π(3)²(8) V = 72π

Now, we can use an approximation for π, such as 3.14, to get a numerical value:

V ≈ 226.19

Rounding to the nearest whole cubic inch, the volume of the soup pot is approximately 226 cubic inches.

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Answer:

Step-by-step explanation:

If points A, B, and C are collinear and point B is the midpoint of AC then

AB = BC

12x - 398 = 22

   + 398      + 398

 12x  =  420

  ÷12    ÷12  

  x = 35

The sum of the remainders is 10. This result is independent of the value of x and holds true for any five consecutive positive integers.

Arbitrary positive integer is any positive integer that is chosen without any particular reasoning or pattern. This can also refer to any number that is randomly chosen or assigned.

Let the original numbers be x, x+1, x+2, x+3, and x+4, where x is an arbitrary positive integer.

Then, their modulo 5 values are x mod 5, (x+1) mod 5, (x+2) mod 5, (x+3) mod 5, and (x+4) mod 5.

Now, let's calculate the sum of these modulo 5 values.

x mod 5 + (x+1) mod 5 + (x+2) mod 5 + (x+3) mod 5 + (x+4) mod 5

= x mod 5 + x mod 5 + 1 + x mod 5 + 2 + x mod 5 + 3 + x mod 5 + 4

= 5x mod 5 + 10

= 0 + 10

= 10

Hence, the sum of the remainders is 10.

This result is independent of the value of x and holds true for any five consecutive positive integers.

This is because when modulo 5 is applied to any set of five consecutive numbers, each number in the set will have an entry in the modulo 5 table, and the sum of the entries in the table is 10.

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Answer:

Max would be 4y meters ahead by 4pm

Step-by-step explanation:

What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.

Mathematically, distance = speed * time

The time is just the difference between 12 noon and 4pm which is 4 hours

Let’s tackle Max’s

He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters

Now let’s tackle Sven

Sven is biking at a speed which is y mph less than Max’s x mph

Thus his speed would be (x-y) mph

His distance covered would be 4(x-y) meters

Now the difference between their bikes distance at 4pm would be;

4x - [4(x-y)]

= 4x -(4x -4y)

4x -4x + 4y

= 4y

Hence, Max would be 4y meters ahead by 4pm

Answer:

The volume of the cube is increasing faster.

The volume of the cube with length : [x] is increasing faster.

Given is that the volume of a cube with length [x] is V(x) = x³. The volume of the sphere with radius (1/2)x is shown in the graph.

We have the volume of the cube with length : [x] is -

V{C} = x³

Volume of the sphere with radius : (1/2)x is

V{S} = (4/3)πr³ = (4/3)π(x/2)³ = πx³/6

V{S} = πx³/6

Refer to the graph of the function attached of both the function. It can be seen that the function of the volume of the cube with length [x] is increasing faster.

Therefore, the volume of the cube with length : [x] is increasing faster.

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Based on the number of names of winners that can be drawn, and the number of names in the basket, the number of different ways they can be drawn is 190 different ways

There are 20 names that you can draw from, in the raffle. There are however, only 2 names that can be picked for the same prize. This means that this is a combination problem.

The number of ways to pick the two winners can be modelled as:

= ₂₀C₂

= 20! / ( 2 ! ( 20 - 2) ! )

= 190 different ways

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Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

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To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.

This a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.

Data;

The combination for this would be

\(C = ^1^2C_5 = 792\)

The combination to select a 5 a side team from 12 students is 792.

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There are 250 students enrolled in Math 1105 this semester at UMSL. The population in this situation is all UMSL students, so the correct option is c.

In this situation, the population refers to the entire group of interest from which the sample is drawn. It represents the larger group to which the findings are intended to be generalized.

The population in this scenario is C. All UMSL students. The goal is to determine the average number of hours a typical student has studied for Exam 3 for all students enrolled in Math 1105 at UMSL.

The survey was conducted among a sample of 40 classmates, which is a subset of the population. The findings from the sample are used to make inferences about the population as a whole.

By surveying a representative sample, the aim is to obtain insights that can be applied to the broader student population at UMSL.

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The solution is y(x) = 1 - (x²/3) + (x⁴/45) - (x⁶/315) + ..., which can be expressed as an infinite series. This power series solution converges for all x and provides an approximation to the exact solution of the initial-value problem.

To solve the initial-value problem (x² - 4)y'' + 8xy' + 6y = 0, y(0) = 1, y'(0) = 0 using power series, we assume a power series representation for y(x) of the form y(x) = ∑(n=0 to ∞) aₙxⁿ.

Differentiating y(x) twice, we have:

y'(x) = ∑(n=0 to ∞) aₙ(n+1)xⁿ,

y''(x) = ∑(n=0 to ∞) aₙ(n+1)(n+2)xⁿ.

Substituting these expressions into the differential equation, we get:

(x² - 4)∑(n=0 to ∞) aₙ(n+1)(n+2)xⁿ + 8x∑(n=0 to ∞) aₙ(n+1)xⁿ + 6∑(n=0 to ∞) aₙxⁿ = 0.

Simplifying and collecting terms with the same power of x, we obtain:

∑(n=0 to ∞) (aₙ(n+1)(n+2)x⁽ⁿ⁺²⁾ - 4aₙ(n+1)x⁽ⁿ⁺²⁾ + 8aₙ(n+1)x⁽ⁿ⁺¹⁾ + 6aₙxⁿ) = 0.

Equating the coefficients of each power of x to zero, we can find the recurrence relation for the coefficients aₙ:

aₙ(n+1)(n+2) - 4aₙ(n+1) + 8aₙ(n+1) + 6aₙ = 0.

Simplifying the equation, we have:

aₙ(n² + 3n + 2) - 6aₙ = 0,

aₙ(n² + 3n - 6) = 0.

Setting the coefficient of each power of x to zero, we find that aₙ = 0 for n ≠ 0, and a₀ can take any value.

Therefore, the solution to the differential equation is given by:

y(x) = a₀ + a₁x + a₂x² + ...

Substituting the initial conditions y(0) = 1 and y'(0) = 0, we find that a₀ = 1, a₁ = 0, and all other coefficients are zero.

Hence, the solution is y(x) = 1 - (x²/3) + (x⁴/45) - (x⁶/315) + ..., which can be expressed as an infinite series. This power series solution converges for all x and provides an approximation to the exact solution of the initial-value problem.

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer:

Step-by-step explanation:

since $68 is your total, let's use the example z=y+x

z is our total, and we know that he made a total of $68, therefore z is the number 68.

We also know that James made a total of $48 washing cars, which gives us the answer 48 as y. So in order to find x, we would need to subtract 68 and 48, which is called using the communtative property. Thsi answer would give us the remaining amount of money we do not yet know.

So 68-48= 20. therefore James made $20 at the art contest.

Answer: Option A

Step-by-step explanation:

So, we know that (y + x) + 2x = 180.

Then, because of the vertical angles theorem, 2x = y - x. So, we can substitute x for y: x = y/3.

Next, we go back to our first equation: (y + y/3) + 2(y/3) = 180.

Solving it, we get y = 90. So, y = 90 degrees, and x = 30 degrees. So, the answer is option A.

In order to make one more kit with the remaining parts, you would need 1 more people marker and 1 more die using mathematical operations

Let's analyze the number of parts available and the requirements for each kit. To make a kit, you need 6 people markers, 3 six-sided dice, and 7 teleporter markers. From the available parts, you have 287 people markers, 143 six-sided dice, and 341 teleporter markers.

We can determine the maximum number of kits you can make by dividing the available quantity of each part by the number required per kit. For the people markers, you have enough to make 287 / 6 = 47 kits. For the six-sided dice, you have enough to make 143 / 3 = 47 kits as well. Finally, for the teleporter markers, you have enough to make 341 / 7 = 48 kits.

After making the maximum number of kits, you will have some remaining parts. To determine if you can make one more kit, you need to identify the part(s) for which you have the least availability. In this case, the limiting factor is the people marker, as you have only 287 available. Therefore, to make one more kit, you would need 1 more people marker. Additionally, since you have 143 six-sided dice available, you also need 1 more die to match the requirement. Therefore, the answer is A. 1 more people marker and 1 more die.

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It indicates that the test is highly accurate in correctly identifying individuals with hepatitis C (high sensitivity) and accurately ruling out individuals without the disease (high specificity).

Sensitivity and specificity are two important measures of a diagnostic test's performance. Sensitivity refers to the test's ability to correctly identify individuals who have the condition, while specificity refers to its ability to correctly identify individuals who do not have the condition.

In the case of the ELISA test for hepatitis C, a sensitivity of 95% means that the test will correctly identify 95% of individuals who actually have hepatitis C as positive. This indicates a high probability of detecting the disease when it is present.

On the other hand, a specificity of 90% means that the test will correctly identify 90% of individuals who do not have hepatitis C as negative. This suggests that there is a 10% chance of a false positive result, where individuals without the disease are mistakenly identified as positive.

Overall, the high sensitivity and specificity of the ELISA test for hepatitis C make it a valuable tool in the diagnosis and screening of individuals for this infectious disease. However, it is important to consider that no test is 100% accurate, and false results can still occur. Therefore, additional confirmatory tests may be required in certain cases to ensure accurate diagnosis and appropriate medical intervention.

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We can plot the vector r(t) and the vector N(T) at the given value of t = T.

To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.

First, let's find the derivative of r(t):

r'(t) = cos(t)i + (cos(t) - tsin(t))j + k

Next, we'll normalize the vector r'(t) to obtain the unit vector:

||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)

Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:

N(t) = r'(t) / ||r'(t)||

Let's evaluate the principal unit normal at t = T:

N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||

To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.

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