Tonya and Jill each opened savings accounts. Tonya started with $60 and deposited $20 each month.Jill started with $20 and deposited $40 each month. If they each continue to make deposits at the same rate when will they have the same amount of money

Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

"there are 20 coins"

n+d = 20

d = 20-n

"total value is $1.40"

0.05n + 0.10d = 1.40

0.05n + 0.10(20-n) = 1.40

-0.05n + 2 = 1.40

0.05n = 0.6

n = 12

d = 20-m = 8

Answer:

A.  Proclamation line secured

Step-by-step explanation:

The proclamation line has been secured based on the two maps provided.

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

x=1.9

Step-by-step explanation:

\(\frac{x}{4.6} =\frac{4.6}{11}\)

\(11x=21.16\)

\(X=1.9\)

Divide the population standard deviation () by the square root of the sample size (n) to obtain the standard deviation of the sample mean (X).

The sample mean is normally distributed, with mean X= and standard deviation X=/n, where n is the sample size, for samples of any size taken from a population that is normally distributed.

The standard deviation of the population divided by the square root of the sample size is equal to the standard deviation of the sampling distribution of means.

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Answer:

12x=144

divide both sides by 12

x=12

Answer:

12

Part A: 144/12=12

Step-by-step explanation:

You can only buy 12 cartridges of ink because 144/12=12. Therefore, 144/12=12 would be you equation.

Answer: There are infinite solutions.

Step-by-step explanation:

x+4-9=-5+x

x-5=-5+x

-5=-5

INFINITE SOLUTIONS

A pushdown automaton (PDA) can be constructed to recognize the language where the input consists of 0's and 1's and has an unequal number of occurrences of these symbols. The PDA uses a stack to keep track of the symbols and transitions based on the current symbol and the stack's top symbol.

To construct a pushdown automaton (PDA) that recognizes the language {w | w is an element of {0,1}* and w has an unequal number of 0's and 1's}, we can follow these steps:

1. Start in the initial state q0 with an empty stack.

2. Read the input symbol and follow the corresponding transitions based on the following rules:

  a) If the input symbol is 0 and the top of the stack is empty, push a special symbol (let's use Z) onto the stack and transition to state q1.

  b) If the input symbol is 0 and the top of the stack is Z, pop Z from the stack and transition to state q0.

  c) If the input symbol is 0 and the top of the stack is not Z, transition to state q2 without changing the stack.

  d) If the input symbol is 1 and the top of the stack is empty, transition to state q3 without changing the stack.

  e) If the input symbol is 1 and the top of the stack is Z, push Z onto the stack and transition to state q3.

  f) If the input symbol is 1 and the top of the stack is not Z, pop the top symbol from the stack and transition to state q3.

3. Repeat steps 2 until all input symbols are read.

4. Once all input symbols are processed, if the stack is empty, accept the input string (since it has an unequal number of 0's and 1's). Otherwise, reject the input string.

The PDA described above will recognize the language {w | w is an element of {0,1}* and w has an unequal number of 0's and 1's}.

Note: The exact configuration of the PDA may depend on the specific notation or conventions used in your course or textbook. The steps provided above outline the general approach for constructing such a PDA.

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Answer:

1760

Step-by-step explanation:

First Cuboid:

(L×B×H)
= 22×5×8

=880
Second Cuboid:

(L×B×H)

=12×5×8

=880

Total Volume:

880+880 = 1760

Hope This Helps!!!!

Answer:

It is 1 cent cheaper  to pay 5.46 for 7 apples.

Step-by-step explanation:

Find the unit rate:

5.46 /7 = 0.78

This is the cost for 1 apple

3.95/5 = 0.79

This is the cost for 1 apple

Answer:

5 apples for 3.95 is the better deal

Step-by-step explanation:

If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple

and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7

Answer:

d

Step-by-step explanation:

d

The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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\(\begin{aligned} (4+101)^2 &= (105)^2 \\ &= 105 \times 105 \\ &= \bold{\underline{11025}} \\ \\ \small{\blue{\mathfrak{That's\:it\: :)}}} \end{aligned}\)

Answer: -2 1/3

Step-by-step explanation:

Okay

The function is defined by m(x)=f(x)/2g(x) is m′(5))=\(\sqrt[3]{3/2}\) on graph.

A function is a relation that is "well-behaved," by which we mean that, given a starting point, we know the exact one ending spot to go to; given an x-value, we get only and precisely one corresponding y-value. As a result, even though all functions are relations [since they pair information], not all relations are functions. Family members who behave well are a subset of all your relations, just as well-behaved functions are a subset of all mathematical relations.)

f(x)=2x+3,XE[-1,2]

-2/3x+25/3, XE[2,8]

g(x)=√x^2−x+3 XE

m′(5))=\(\sqrt[3]{3/2}\)

The thing to notice here is that f(x) is expressed differentially in different domain.

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The area of the given square pyramid is:

total area = 1,100 inches squared.

On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.

To get the surface area of the pyramid, we can just get the area of each of these simpler parts.

The base is a square of 22 in by 22 in, then the area of the base is:

B = (22in)*(22 in)  = 484 in^2

For each triangle, the area will be:

A = (base side)*(height)/2

A = (22in)*(14in)/2 = 154 in^2

And we have 4 of these triangles, then the total area of the pyramid will be:

total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2

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Answer:

A

Step-by-step explanation:

Answer:

length = 4 cm

Width = 5 cm

Step-by-step explanation:

      Area of rectangle = length * width

length = (x - 3) meters

Width = (x - 2) meter

Area = 20 square meters

  (x - 3)*(x - 2) = 20

Use FOIL method.

   x*x + (x)(-2) + (-3)*x + (-3)*(-2) = 20

                         x² -2x  - 3x + 6 =20

         Combine like terms

                        x² - 5x + 6  = 20

Now subtract 20 from both side

                     x² - 5x + 6 - 20 = 0

                           x² - 5x - 14  = 0

Factorize the equation and find the roots

         Sum = -5

   Product = -14

    Factors =  (-7) , 2

When we add (-7) + 2 = -5 and when we multiply (-7)*2 = -14

x² + 2x - 7x - 14 = 0

 x(x + 2) -7(x + 2) = 0

 (x + 2)(x - 7)  = 0

  x - 7 = 0    {Ignore (x + 2 = 0) as measurements wont't be in negative}

x = 7

length = x - 3

          = 7 - 3

   \(\sf \boxed{\bf length = 4 \ cm}\)

width = x - 2

         = 7 - 2

    \(\sf \boxed{\bf width = 5 \ cm }\)

Answer: You can do 2/3 by long division

Answer:

2/3 is its most simple form, you can't simplify it any further.

The inverse of (a) is If she did not go to the party, then she will not finish her homework.

The inverse of (b) is If he did not finish the race, then he will not have trained for the race.

The inverse of (c) is If she has no side effects then the patient will not take the medicine.

The converse of (a) is if she finished her homework, then she went to the party.

The converse of (b) is if he trained for the race, then he finished the race.

The converse of (c) is if the patient took the medicine, then she had side effects.

The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.

The contrapositive of (b) is if he did not train for the race, then he will not finish the race.

The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.

Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."

Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."

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If the Canadian Football League (CFL) drops the requirement of having 21 Canadian players on each team's roster, it is likely that the salaries of Canadian players in the CFL will (option C) decrease.

Currently, the Canadian player ratio is a key factor in determining the salary cap and roster construction for teams in the CFL. If the Canadian player ratio is eliminated, teams may choose to replace Canadian players with cheaper international players, potentially leading to a decrease in demand and salaries for Canadian players.

However, it is also possible that the market for Canadian players could remain strong due to factors such as fan interest and national pride. Therefore, while it is likely that the salaries of Canadian players would decrease without the Canadian player ratio requirement, it is not certain and other factors could come into play.

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Full question:

Suppose the Canadian Football League (CFL) drops the requirement of having 21 Canadian players on each team's roster, what will happen the salaries of Canadian players in the CFL?

A) Stay the same

B) Increase

C) Decrease

D) Uncertain

Answer:

Step-by-step explanation:

In the given system of linear inequalities,

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

To graph the system of linear inequalities, we will plot the boundary lines for each inequality and shade the appropriate regions based on the given inequalities.

1. Graphing the inequality y < −x + 3:

To graph y < −x + 3, we first draw the line y = −x + 3. This line has a slope of -1 and a y-intercept of 3. We can plot two points on this line, for example, (0, 3) and (3, 0), and draw a dashed line passing through these points. Since y is less than −x + 3, we shade the region below the line.

2. Graphing the inequality y ≥ 2x − 1:

To graph y ≥ 2x − 1, we first draw the line y = 2x − 1. This line has a slope of 2 and a y-intercept of -1. We can plot two points on this line, for example, (0, -1) and (1, 1), and draw a solid line passing through these points. Since y is greater than or equal to 2x − 1, we shade the region above the line.

Now let's find two ordered pairs that are solutions and two that are not solutions.

Ordered pairs that are solutions:

- (1, 0): This point satisfies both inequalities. Plugging in the values, we get y = -1 and y ≥ 1, which are both true.

- (-2, 5): This point satisfies both inequalities. Plugging in the values, we get y = 7 and y ≥ 3, which are both true.

Ordered pairs that are not solutions:

- (2, 0): This point does not satisfy the first inequality y < −x + 3 since 0 is not less than -2 + 3.

- (0, 1): This point does not satisfy the second inequality y ≥ 2x − 1 since 1 is not greater than or equal to -1.

By graphing the system of linear inequalities and examining the solutions and non-solutions, we have:

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

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The difference between qualitative forecasting techniques and quantitative forecasting techniques is:

Quantitative projections frequently rely on historical information, like past sales and income numbers, production and financial reports, and website visitor statistics. You may use seasonal sales data, for instance, to estimate the production and labour requirements for the upcoming year based on the monthly or quarterly results from the previous year. Additionally, statistical modelling, trend analysis, or other information from authoritative sources like governmental organisations, professional groups, and academic institutions are used in quantitative forecasting.

Techniques for qualitative forecasting are derived from the knowledge and intuition of seasoned business professionals. These forecasting methods involve data interpretation together with the expert knowledge you've gained through years of work experience, so they go beyond simple guesswork. For instance, if you require qualitative data to predict sales for the year, you may calculate the influence of a new advertising campaign or promotion your business is preparing, consider the implications of emerging technology for customer behaviour, and consider current social fads and trends.

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Answer:

(r^9−s^10) (r^18+r^9s^10+s^20)

1) Let's enlist all the possible outcomes. H-Heads, T-tails. If we toss two coins penny and a nickel then we would have:

(t,t) (h,t) (t,h) and (h,h) 4 total outcomes

2) Since we want to know the chance of getting tails, then we'll call tails our favorable outcome. From the total outcomes, we can count that there is only one possibility:

(t,t) (h,t) (t,h) and (h,h) 1 favorable outcome

(t,t) so we can write:

Thus, this is the answer 1/4

The answer to (c) is ||4v — 4w|| ≈ 27.07.

Given that || v || = 3, || w || = 3, and the angle between v and w is 2.8 radians. We can calculate the following:(a) v. w = ?The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them.

Therefore, v.w = ||v|| ||w|| cos θWhere, θ is the angle between v and w. So, v.w = 3×3 cos(2.8) ≈ -3.20 Therefore, v.w ≈ -3.20.(b) ||1v + 4w|| = ?

The magnitude of the vector ||1v + 4w|| can be calculated as follows:||1v + 4w|| = √((1v + 4w).(1v + 4w))= √(1v.1v + 8v.w + 16w.w) Substitute the value of v.w we obtained above and calculate||1v + 4w|| = √(9 + 8×(-3.20) + 16×9)≈ 9.97

Therefore, ||1v + 4w|| ≈ 9.97.(c) ||4v — 4w|| =Similarly, the magnitude of the vector ||4v — 4w|| can be calculated as follows:

||4v — 4w|| = √((4v — 4w).(4v — 4w))= √(16v.v — 32v.w + 16w.w) Substitute the values of v.w and ||v|| we obtained above and calculate||4v — 4w|| = √(16×9 — 32×(-3.20) + 16×9)≈ 27.07 Therefore, ||4v — 4w|| ≈ 27.07.

The answer to (a) is v.w ≈ -3.20. The answer to (b) is ||1v + 4w|| ≈ 9.97. The answer to (c) is ||4v — 4w|| ≈ 27.07.

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