A particle is moving horizontally along the x-axis. Its position (in ft) is: s(t)=t^3-18t^2+33t+14 where t is in sec.
Find the time at which the particle switches from moving left to moving right.
t= ___ sec.

Answer:

(10, 21)

Step-by-step explanation:

To get the point of intersection of the lines given ( it means we need to find at what value of x will correspond to the value of y)

y = 2x+1

y = x+11

insert equation i in equation ii

2x+1=x+11

2x-x = 11-1

x = 10

y = 2x+1 = 2(10)+1 = 20+1 = 21

(x,y) = (10, 21)

Answer: (10/3, 23/3)

Step-by-step explanation:

To determine the point of intersection of the two lines, we would solve both equations simultaneously. The given system of linear equations is expressed as

y = 2x + 1- - - - - - - - - - - - -1

y = - x + 11 - - - - - - - - - - - -2

We would eliminate y by

Subtracting equation 2 from equation 1, it becomes

0 = 3x - 10

Adding 10 to the left hand side and the right hand of the equation, it becomes

3x - 10 + 10 = 0 + 10

3x = 10

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = 10/3

x = 10/3

Substituting

x = 10/3 into equation 1, it becomes

y = 2 × 10/3 + 1

y = 20/3 + 1

y = 23/3

Answer:the total 20

Step-by-step explanation:

Answer:

The answer to your question is the letter B. x = 30

Step-by-step explanation:

Data

Find x

Process

To solve this problem use proportions. Compare the small triangle and the large triangle.

1) For the small triangle

                         x/ (24 - 4) = x/20

2) For the large triangle

                         (x + 6) / 24

3.- Equal both expressions

                         x/20 = (x + 6)/24

-Solve for x

                        24x = 20(x + 6)

-Expand

                        24x = 20x + 120

-Simplify like terms

                        24x - 20x = 120

                          4x = 120

-Result

                            x = 120/4

                            x = 30

Answer:

c= 0.10m+ 25

Step-by-step explanation:

using the format y=mx+b

25 is your flat cost that they charge every month, and 0.10 is what they charge per minute.

m is the number of minutes so that is the unknown variable.

c is your total cost.

you take the flat cost per month (25 dollars) and add it to however many minutes multiplied by 0.10 (.10m)

The equation for determining the total phone bill given a monthly fee of $25 and a rate of $0.10 per minute is, c = 25 + 0.10m. Here, c represents the total monthly cost and m represents the number of minutes of phone usage.

The subject of the question is linear algebra, and it requires forming an equation for a given scenario. In this case, the monthly cost of the cellular phone service is a function of the number of minutes of phone usage. The fixed monthly fee is $25, and there is an additional charge of $0.10 per minute.

So if m represents the number of minutes of phone usage, and c represents the total monthly cost, then the equation that can be used is: c = 25 + 0.10m

This is because for each minute used, an extra $0.10 is added to the total cost. If no minutes are used, the total cost is just the fixed $25. If 50 minutes are used, for example, the total cost is $25 + (0.10 * 50) = $30.

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Answer:

a) The mean :1205, standard deviation = 2.887

b)0.5

Step-by-step explanation:

The attached diagram has the solution and explanation

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

[tex]\frac{9}{1}=\frac{x}{3}[/tex]

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

Answer:

Option C. $30

Step-by-step explanation:

As per question buyers are willing to pay $135 per tuning. If David demands more than this amount producer will not choose David to tune.

As we can see on first week David is willing to tune the first piano for $115,

So surplus for producer will be

135 - 115 = $20

Surplus for second week for producer will be

135 - 125 = $10

Since David is willing to tune the third and fourth piano for $140 and $175 then the producer will not choose David for tuning.

Therefore, total surplus for the producer will be $20 + $10 = $30

Option C. $30 is the correct option.

Answer:

88

Step-by-step explanation:

Answer:

1) -8(v+4) = -8v - 32

2) -9(-8+3x) = 72 - 27x

Answer:

The Bureau of Consumer Protection stops unfair and fraudulent business practices and taking appropriate actions against them.

Step-by-step explanation:

The Bureau of Consumer Protection is a body who looks into safeguarding the financial interests of the consumers. It stops unfair and fraudulent business practices by taking necessary and appropriate actions against them. They take necessary reaction as of suing the person or business involved. The Bureau of Consumer Protection also develops rules and regulations to maintain a fair marketplace. They also educate consumers about their responsibilities and rights.

Answer:

The Bureau of Consumer Protection stops unfair and fraudulent business practices and taking appropriate actions against them. The Bureau of Consumer Protection is a body who looks into safeguarding the financial interests of the consumers. It stops unfair and fraudulent business practices by taking necessary and appropriate actions against them. They take necessary reaction as of suing the person or business involved. The Bureau of Consumer Protection also develops rules and regulations to maintain a fair marketplace. They also educate consumers about their responsibilities and rights.

Step-by-step explanation:

e d g e

Jake cannot achieve an average above 89 with the final exam alone.

The final exam counts twice as much as the midterm, so the weights are 2 for the final and 1 for the midterm. The average score A can be calculated using the formula:

[tex]\[ A = \frac{\text{weight of midterm} \times \text{midterm score} + \text{weight of final} \times \text{final score}}{\text{total weight}} \][/tex]

Given that Jake's midterm score is 67 and the weights are 1 for the midterm and 2 for the final, the total weight is  1 + 2 = 3 . We want Jake's average A to be between 81 and 92.

For the lower bound of the average (81), we have:

[tex]\[ 81 = \frac{1 \times 67 + 2 \times f}{3} \][/tex]

Solving for  f :

[tex]\[ 81 \times 3 = 67 + 2f \] \[ 243 = 67 + 2f \] \[ 2f = 243 - 67 \] \[ 2f = 176 \] \[ f = \frac{176}{2} \] \[ f = 88 \][/tex]

So, the minimum score Jake needs on the final exam to achieve an average of at least 81 is 88.

For the upper bound of the average (92), we have:

[tex]\[ 92 = \frac{1 \times 67 + 2 \times f}{3} \][/tex]

Solving for  f:

[tex]\[ 92 \times 3 = 67 + 2f \] \[ 276 = 67 + 2f \] \[ 2f = 276 - 67 \] \[ 2f = 209 \] \[ f = \frac{209}{2} \] \[ f = 104.5 \][/tex]

However, since the maximum score for the final exam is 100, the highest possible average Jake can achieve is 100 (since [tex]\( 67 + 2 \times 100 = 267 \)[/tex], and [tex]\( \frac{267}{3} = 89 \))[/tex].

In conclusion, Jake needs to score at least 88 on the final exam to achieve an average of at least 81, but he cannot achieve an average above 89 with the final exam alone. Thus, the range of scores on the final exam for Jake to get an average between 81 and 92 is from 88 to 100. However, the upper bound of Jake's average is actually 89, not 92, due to the maximum score constraint on the final exam.

The recursive formula for the geometric sequence is [tex]a_n=(-\frac{1}{4} )a_{n-1}[/tex]

Explanation:

The given sequence is [tex]\{-16,4,-1,........\}[/tex]

We need to determine the recursive formula for the given geometric sequence.

To determine the recursive formula, first we shall find the common difference.

Since, it is a geometric sequence, the common difference can be determined by

[tex]r=\frac{4}{-16} =-\frac{1}{4}[/tex]

[tex]r=-\frac{1}{4}[/tex]

Hence, the common difference of the given geometric sequence is [tex]r=-\frac{1}{4}[/tex]

The recursive equation for the geometric sequence can be determined using the formula,

[tex]a_n=r(a_{n-1})[/tex]

Substituting the value [tex]r=-\frac{1}{4}[/tex], we get,

[tex]a_n=(-\frac{1}{4} )a_{n-1}[/tex]

Thus, the recursive formula for the geometric sequence is [tex]a_n=(-\frac{1}{4} )a_{n-1}[/tex]

Answer:

The answer to your question is Yes, the point P lies on the circle

Step-by-step explanation:

Data

P (2[tex]\sqrt{3}[/tex], 2)

Center (0, 0)

Q (0, -4)

Process

1.- Find the radius of the circle

dCQ = [tex]\sqrt{(0-0)^{2}+ (-4 + 0)^{2}}[/tex]

dCQ = [tex]\sqrt{0^{2} + (-4)^{2}}[/tex]

dCQ = [tex]\sqrt{16}[/tex]

dCQ = 4

2.- Find the equation of the circle

    (x - 0)² + (y - 0)² = 4²

-Simplification

           x² + y² = 16

3.- Substitute P in the equation of the circle

          (2[tex]\sqrt{3}[/tex])² + (2)² = 16

           4(3) + 4 = 16

               12 + 4 = 16

                     16 = 16

4.- Conclusion

The point (2[tex]\sqrt{3}[/tex], 2) lies on the circle because when we evaluate the equation of the circle with this point, we get the length of the radius.

Answer:

  EF ≥ 4

Step-by-step explanation:

EF is the midline of the trapezoid so its length is the average of the two base lengths:

  (AD +BC)/2 = EF

  AD +BC = 2·EF . . . . multiply by 2

  8 +2x -4 = 2(x+2) . . . substitute the expressions for the segment lengths

  2x +4 = 2x +4 . . . . . . true for any value of x

We only require that segment BC is non-negative in length, so ...

  BC ≥ 0

  2x -4 ≥ 0 . . . . substitute the expression for BC

  x -2 ≥ 0 . . . . . divide by 2

  x ≥ 2

Then segment EF will be ...

  x +2 ≥ 4 . . . . add 2 to both sides of the inequality for x

The only restriction the figure puts on the length of EF is ...

  EF ≥ 4

_____

We suggest you talk to your teacher about this problem. The figure shown does not require that EF have any particular value.

Answer:

The probability that at least one of the CD'S will be put back into the proper cases is 2/3

Step-by-step explanation:

The total amount of possibilities of putting back the CD's is equal to the total amount of ways of ordering a set of 3 elements, in other words, 3! = 6. In 4 of those 6 ways, at least one of the CD's is put back properly:

- All CD's are put back into the proper cases

- First disc is put back into its proper cases, Second disc is put back in third's position, and third  disc is put back in second's position.

- Second Disc is put back correctly, and first and third not

- Thir disc is put back correctly and first and second got 'swapped'.

Thus, the probability that at least one of the CD'S will be put back into the proper cases is 4/6 = 2/3.

Answer:

Step-by-step explanation:

Given that,

Outcomes Heads= 4heads and

Outcomes Tails= 6tails

Total outcome of events n=10

Probability of head in is first throw is, the is the outcome of head divide by the total possible outcomes

P(Head in first throw)=4/10

P(H)=2/5

P(H) = 0.4

P(H) =40%

Answer:

0.4

Step-by-step explanation:

Answer:

The difference in frequency between red light and violet light is 3.2×10¹⁴Hz.

Step-by-step explanation:

Frequency :During any time interval the number of waves which pass through a point in space is known as frequency of that ray.

The unit of frequency is Hz.

There are 7 colors in white ray. The highest frequency color is violet and lowest frequency color is red.

Given that the frequency of red is 4.3 ×10¹⁴Hz.

The frequency of violet ray is 7.5×10¹⁴Hz.

The difference in frequency between red light and violet light is

=(7.5×10¹⁴-4.3×10¹⁴)Hz

=(7.5-4.3)×10¹⁴Hz.

=3.2×10¹⁴Hz.

The difference in frequency between red light and violet light is found by subtracting the frequency of the red light from that of the violet light. The resulting difference is approximately 3.2 x 10^14 Hz.

The frequency of light is a measurement of how many waves pass a point in a given period of time. To find the difference in frequency between the red light and the violet light, we need to subtract the frequency of the red light from the frequency of the violet light.

The frequency of violet light is 7.5 x 1014 Hz, while the frequency of red light is 4.3 x 1014 Hz. To calculate the difference, we subtract these two frequencies as follows:

7.5 x 1014 Hz - 4.3 x 1014 Hz = 3.2 x 1014 Hz

Therefore, the approximate difference in frequency between red light and violet light is 3.2 x 1014 Hz.

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Answer:

line VX ; Converse of the Isosceles Triangle Theorem

Explanation:

Since the angle marks on the base of the triangle is same, they measure the same.

The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

So line VT ≅ VX

Answer:

4

Step-by-step explanation:

Answer:

d. {(1,2),(2,2),(3,2),(4,2),(5,2),(6,2)}

Step-by-step explanation:

First one can be any of the six outcomes

Final answer:

The event that the second toss shows a two is represented as a subset of the sample space and includes all possible outcomes of the first toss with a two as the second element, written as {(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)} which is option d.

Explanation:

The question asks to represent a specific event from a probability experiment in set notation. The experiment involves tossing a die twice, and the event of interest is that the second toss results in a two. The sample space for two tosses of a six-sided die consists of all ordered pairs where the first element is the result of the first toss, and the second element is the result of the second toss. Since the die has six sides, the first element can be any number from 1 to 6, and the same applies to the second element.

The event that the second toss shows a two can be represented by the subset of the sample space where the second element of each ordered pair is a 2. Therefore, the correct set notation for this event would be {(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)} which corresponds to option d. This subset includes all possible outcomes of the first toss combined with the fixed outcome of the second toss being a two.

Subset B, D, E, and F are subspaces of P2.

In order for a subset to be a subspace of P2, it must satisfy three conditions: it must be closed under addition, closed under scalar multiplication, and contain the zero vector. Let's analyze each subset to determine if it is a subspace:

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Answer:

B rentals is better deal for journey  432 miles

If she spending same money either company  the distance travels in a week is[tex]x=600[/tex] miles

Step-by-step explanation:

Given,

Mr K rentals cars [tex]=\$ 99[/tex] per week  and [tex]\$ .11[/tex] for over 100 miles

B rentals car[tex]=\$ 75[/tex] per week and [tex]\$ .15[/tex] for over 150 miles

Let total journey cost of Glenna  if she travels 432 miles

For Mr, K rentals  is Y

Y=99+.11\times \left ( 432-100\right )

[tex]Y=99+.11\times \left ( 432-100\right )[/tex]

[tex]Y=99+36.52[/tex]

[tex]Y=\$ 135.52[/tex]

For  B rental  journey cost is Z

[tex]Z=75+.15\left ( 432-150 \right )[/tex]

[tex]Z=75+42.3[/tex]

[tex]Z=\$ 117.3[/tex]

If she spending same money either company

x mile she drive in a week

[tex]Y=Z[/tex]

[tex]99+.11\left ( 432-100 \right )x=75+.15\left ( 432-150 \right )x[/tex]

[tex]99-75=.15x-.11x[/tex]

[tex]24=.04x[/tex]

[tex]x=24/.04[/tex]

[tex]x=600[/tex]

Answer:

A probability must be between zero and one

Step-by-step explanation:

We are to explain why −0.41 cannot be the probability of some event.

Probability is the chance of occurring a particular event out of total possible events.

If total possible events are n, and number of favourable outcomes for any event A is x then probability is x/n.

Here note that both x and n cannot be negative.

also x cannot exceed n.

Probability can never exceed 1 and also can never be an integer except 0 or 1 as special cases.

So the probability can never be negative and cannot exceed 1.

So correct answer is

A probability must be between zero and one

Answer:

The answer to your question is       (8 - x) (8 + x)

Step-by-step explanation:

Data

Factor    64 - x²

Process

To factor this polynomial use the rule to factor a difference of squares.

1.- Find the square root of 64

            [tex]\sqrt{64} = 8[/tex]

2.- Find the square root of x²

             [tex]\sqrt{x^{2}} = x[/tex]

3.- Write the result, using two sets of parentheses and alternating sings

          (8 - x) (8 + x)

Answer:

Movietown Theater made a total of 10.2 pounds of butter on Thursday

Step-by-step explanation:

Movietown Theater made [tex]\frac{4}{5}[/tex] fraction of their popcorn with butter and 32.5 ounces without butter.

Fraction made without butter=[tex]1-\frac{4}{5}=\frac{1}{5}[/tex]

It means [tex]\frac{1}{5}[/tex] of total popcorn made(t) was without butter.

[tex]\frac{1}{5}Xt=32.5[/tex]

t=32.5X5=162.5

They made 162.5 ounces of butter in total

Next, we determine the weight in pounds

16 ounces = 1 pound

162.5 ounces = 162.5/16 pounds

=10.2 pounds

Answer: D It is moving in a different direction as the kayak because it slowed Jaime down.

Step-by-step explanation:

Jaime can paddle her kayak at an average rate of 6 miles per hour in still water.

Distance = speed × time

After 2 hours of paddling north in a river, she traveled 8 miles. This distance covered was supposed to be

6 × 2 = 12 miles

Therefore, the following is true about the direction of the current in the river:

D It is moving in a different direction as the kayak because it slowed Jaime down.

The question provided is incomplete, here is the complete question content from google

December 26 *Received all the goods that Waren authorized Eastern Wisonsin University to return on EWU's return request No. R8034 for credit against their account balance. **Process and record the sales return now. December 26 * Receive check No. 49326 for $10,000 for Eastern Wisconsin University in partial payment of the remaining amount (after sales return) on charge invoice No. 729, and deposited the check. **Do not finalize a deposit slip until you determine whether there are no other cash receipts on the same day. After entering the partial payment for invoice #729 with check 49326, where else am I suppose to post to? With the check from EWU, would you post this in the Cash Disburstments Journal?

Answer:

No. When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

Step-by-step explanation:

When goods are returned, it is termed as sales return and when the check has been collected as partial payment, it is recorded in cash receipt journal and not in cash Disbursements Journal.

In cash disbursement journal, transactions are recorded as related to payments made while in cash Receipt Journal ,transactions are recorded  when the money has been received.

The question refers to a business transaction scenario wherein goods authorized by Waren for return by Eastern Wisconsin University (EWU) have been received. This event will result in a credit against EWU's account balance with Waren, marked by return request No. R8034.

The scenario mentioned refers to a business transaction between two entities, Waren and Eastern Wisconsin University (EWU). In this situation, EWU is returning goods back to Waren, which have been authorized by the latter. Following successfully receiving the goods, Waren would credit the account balance of EWU, essentially setting off the monetary value of the returned goods against any debt that EWU might owe Waren. This is a common practice in various business transactions and is known as Returns against credit.

The return request No. R8034 specifically identifies this transaction, enabling the parties involved to keep track of their exchanges and to effectively manage their financials.

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Answer:

The answer is A

Step-by-step explanation:

The cheapest route should be c) ABCDA, $960

Starting at A: Options are B = 220, C = 240, D = 310

Now

Choose B since it has the smallest value.

Now

From B: Options are C = 200, D = 210

Choose C since it has the smallest value.

From C: There is only one option i.e. D = 230 here we cannot choose A since it was our beginning point.

From D: We touched all of the vertices due to this,  return to the starting point, A = 310

So,

A → B → C → D → A --> 220 + 200 + 230 + 310 = 960

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Answer:

I) 8.760 * 10 ³ hours

II) 8.76582 * 10 ³ hours

Step-by-step explanation:

1) No. of hours in one year:

24 hours* 365 days= 8760 hours

Scientific Notation= 8.760 * 10 ³ hours

2) 1 year = 31556952 seconds

1 hour=3600

1 year = 31556952 seconds/3600  = 8765. 82 hours

Scientific Notation= 8.76582 * 10 ³ hours

3) The exact numbers of hours using 365 days is 8760 which is written as 8.760* 10 ³ in scientific notation. But using the given data we get =8.76582 * 10 ³ hours

Comparing these answers the first one  has only 3 significant figures

But the second answer has six significant figures if we round these we get 8.8  * 10 ³ hours which has two significant numbers

Aslo rounding the first gives 8.8 * 10 ³ hours which has two significant numbers  and is the same as the other answer rounded

Answer:

C. 139.7 minutes

Step-by-step explanation:

To find the answer we have to find the area of the floor and then divide it by how many feet George can clean in a minute.

To find the area, multiply the length by the width.

95 * 50 = 4,750

The floor is 4,750 sq ft. Divide this number by 34 to figure out how many minutes it will take for him to clean the entire floor.

4,750/34 = 139.7

It will take George approximately 139.7 minutes to mop the floor.

To determine the time it will take George to mop a 95 ft by 50 ft gym floor at a rate of 34 ft^2 per minute, we calculate the floor's area (4,750 ft^2) and divide it by the rate, resulting in approximately 139.7 minutes.

To find out how many minutes it will take George to mop the gym floor, we first need to calculate the total area of the floor that he will mop. The floor is a rectangle with dimensions 95 ft by 50 ft. Multiplying these dimensions gives us the area of the rectangle:

Area = Length x Width

Area = 95 ft x 50 ft

Area = 4,750 ft^2

Now we know that George can mop 34 ft^2 per minute. To determine how many minutes it will take him, we divide the total area by the area he can mop per minute:

Time = Total Area / Area per Minute

Time = 4,750 ft^2 / 34 ft^2/min

Time = 139.7 minutes

Therefore, it will take George approximately 139.7 minutes to mop the gym floor, which corresponds to option (c).

Answer:

see the explanation

Step-by-step explanation:

The question in English is

On a ship, 1/7 of the crew members maintain the machinery, 2/7 the kitchen, 3/7 the bedrooms and corridors, and the remaining 18 are officers

Let

x ----> members that maintain the machinery

y ---->members that maintain the kitchen

z ----> members that maintain bedrooms and corridors

w ----> members that are officers

T ----> total number of members

we know that

The total sum of the fractions must be equal to 1

[tex]\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+w=1[/tex]

[tex]w=1-\frac{6}{7}[/tex]

[tex]w=\frac{1}{7}[/tex]

Remember that

The number of officers is 18

so

[tex]18=\frac{1}{7}T[/tex]

Find out the total number of members

solve for T

[tex]T=18(7)=126\ members[/tex]

Find out the number of members that maintain the machinery

[tex]x=\frac{1}{7}T[/tex]

[tex]x=\frac{1}{7}(126)=18\ members[/tex]

Find out the number of members that maintain the kitchen

[tex]y=\frac{2}{7}T[/tex]

[tex]y=\frac{2}{7}(126)=36\ members[/tex]

Find out the number of members that maintain bedrooms and corridors

[tex]z=\frac{3}{7}T[/tex]

[tex]z=\frac{3}{7}(126)=54\ members[/tex]