Arianna has $0.90 worth of nickels and dimes. She has 4 times as many nickels as
dimes. By following the steps below, determine the number of nickels, x, and the
number of dimes, y, that Arianna has.

Answer:

trapezium................

According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

According to the statement

We have to find that the value of the combination.

So, For this purpose, we know that the

A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.

From the given information:

A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:

= 3 yellow pebble + 2 yellow pebbles

= 5 yellow pebbles or 15 red pebbles

And

Two blue pebbles will be:

= 10 yellow pebbles

= 3 red pebbles and 1 yellow pebbles.

So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

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Question:

A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles

Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?

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The PV factor formula is given below: The formula for PV factor is: PV Factor = [1 - (1 + r)⁻ⁿ] / r

where r = discount rate, and n = number of periods.

PV factor can be used to calculate the present value of an annuity. If the amount of each payment and the number of periods are known, the present value of the annuity can be calculated using the following formula:

Present value of annuity = Payment × PV factor.

For example, suppose that you have an annuity that pays $1,000 per year for 5 years.

The discount rate is 8%. We can calculate the PV factor using the formula:

PV factor = [1 - (1 + r)⁻ⁿ] / r= [1 - (1 + 0.08)⁻⁵] / 0.08= 3.9936

The present value of the annuity can be calculated by multiplying the payment by the PV factor:

Present value of annuity = Payment × PV factor= $1,000 × 3.9936= $3,993.6

Therefore, the present value of the annuity is $3,993.6.

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to find the expected attendance, multiply the attendance by probability then add the products

6000 * 0.1 = 600

25000 * 0.2 = 5000

15000 * 0.2 = 3000

55000 * 0.5 = 27500

27500 + 3000 + 5000 + 600 = 36100

36100 * 15 = 541500 - 300000 = 241500 - 55000 = 186500

The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

Answer:

x=2 and y=10

Step-by-step explanation:

Substitute 5 x for y in 2x+3y=34

2x+3y=34

2x+35x=34

17x=34

17x/17=34/17

x=2

Substitute 2 for x in y=5x

y=5x

y=(5)(2)

y=10

x=2 and y=10

Answer: x=2

y=10

I hope tht helped ...

Step-by-step explanation:

Step-by-step explanation:

1.

\(2d + 3 \leqslant - 11 \\ 2d \leqslant - 11 - 3 \\ 2d \leqslant - 14 \\ \frac{2d}{2} \leqslant \frac{ - 14}{2} \\ d \leqslant - 7\)

2.

\(3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\ \frac{3d}{3} > \frac{24}{3} \\ d = 8\)

Welcome

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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The measure of angle 2 is 70° and the measure of angle 3 is also 70°°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

From the given information ∠1 and ∠3 are pairs of alternate interior angles.

Therefore, m∠1 = m∠B = 70°.

We also know that the vertically opposite angles are equal,

Here ∠1 and ∠2 are vertically opposite angles,

Therefore, m∠1 = m∠2 = 70°.

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Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

Step-by-step explanation:

f(X) = 5x+18= 18

so,

18 = 5x+18

18-18 = 5x

X= 0

so domain of the function is 0

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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We have that, using the Chinese remainder theorem, the number of things is 23

There are certain things whose number is unknown. When divided by 3, the remainder is 2; when divided by 5, the remainder is 3; when dividing by 7, the remainder is 2. To solve this problem, we will have to use the Chinese Remainder Theorem.

It establishes that: Let m1, m2, …, mk be coprime integers greater than 1, and let a1, a2, …, ak be any integers. So, the system of simultaneous congruences:

x ≡ a1 (mod m1)x ≡ a2 (mod m2)…x ≡ ak (mod mk)

It has a unique solution modulo M = m1m2…mk.

The Chinese Remainder Theorem implies that there is only one solution of the system of three congruences such that 0 ≤ x < 3 x 5 x 7 = 105. Using the Chinese Remainder Theorem, we obtain that x ≡ 23 (mod 105). Therefore, the number of things is 23.

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While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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1.) For jogging, the equation that shows the number of calories burnt after 1 minute = 6.5t = c

2.) For surfing, the equation that shows the number of calories burnt after 1 minute = 5.25t = c

3.) For biking, the equation that shows the number of calories burnt after 1 minute =5.5t = c

To determine the equation that shows the amount of calories that are burnt per minute the following is carried out;

1.) For jogging,

10 mins = 65 calories

1 min = 65/10 = 6.5

the equation that shows the number of calories burnt after 1 min = 6.5t = c

2.) For surfing,

12 mins = 63 calories

1 min = 65/10 = 5.25

the equation that shows the number of calories burnt after 1 min= 5.25t =c

3.) For biking,

6 mins = 33 calories

1 min = 33/6= 5.5

the equation that shows the number of calories burnt after 1 min = 5.5t = c

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Answer:\(-\frac{2}{3}\)

Step-by-step explanation: Search math w ay on the internet :)

Answer:

2/-3

Step-by-step explanation:

using rise/run we can can see that the slope rises 4 units and the run is -6 simplify to 2/-3

(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true. Then is true for all natural numbers.

There is a soccer league with k participating teams, where k is a positive even integer.

suppose that the organizer of the league decides that there will be a total of k 2matches this season, where no pair of teams plays more than once against each other

It is given that there are  teams, the number of matches that can be played is K/2 and no team plays another twice.

The objective is to prove that if every team plays at least one match, then no team plays two or more games.

When  k is an even number, then k = 2n, where n ∈ N

There are 2n teams.

For n = 1, there are 2 teams and only 1 game can be played between Team 1 and Team 2.

Consider the case when  is arbitrary.

Let the first match be between Team 1 and Team 2n, the second match between Team 2 and Team 2n - 1 and so on p match be between Team  p and n + 1

Then the final match is between Team n and Team 2n + 1, which is Team n + 1

Hence, all the teams play and the number of games is n or

Now we prove this for k = 2n + 2

There are  matches played between the first teams. For the additional two teams, one additional match is played.

Hence, the number of games n + 1

Therefore, when each team plays at most one game, the number of games is

By the principle of Mathematical Induction, to prove a statement p(n) , the following steps must be followed.

(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true.

Then

is true for all natural numbers.

The Principle of Mathematical Induction is used to proved the statement

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Answer: 8.4000

Step-by-step explanation:

Answer: Or i could be 8.4 × 104

Step-by-step explanation: You multiply this and get 840000 or 8.4000

The proportion that Alexandra can use to find r is 9 cups of water and 4 cups of dry rice

If Alexandra uses 12 cups of water and 6 cups of dry rice to make 18 cups of cooked rice, this can be expressed as:

\(\frac{12}{6} = 18cups\)

To get the proportion "r" for the amount of dry rice to use to make 4 cups of cooked rice, we can write:

\(r = 4 cups\)

Divide both expressions:

\(\dfrac{\frac{12}{6} }{\frac{a}{b} } =\frac{18}{4}\\\dfrac{12b}{6a}= \frac{18}{4}\\\dfrac{2b}{a} =\frac{18}{4}\\\frac{b}{a} =\frac{18}{8}\\\frac{b}{a} =\frac{9}{4} =r\)

Hence the proportion that Alexandra can use to find r is 9 cups of water and 4 cups of dry rice

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Answer:

x               g(x + 2)-1               h(x)

-2              g(-2+2)-1              -1

-1               g(-1+2)-1               0

0               g(0+2)-1               1

1                g(1+2)-1                2

2               g(2+2)-1               3

Part A: 3

Part B: -1

Step-by-step explanation:

When you have questions like these all you have to do is plug in and solve.

For example I will do h(2) & h(-2) for reference.

h(2):

\((2+2)-1\\4-1\\3\)

h(-2):

\((-2+2)-1\\0-1\\-1\)

Answer:

Okay, first we need to round each number to the nearest whole number before performing the addition or subtraction. Here are the rounded sums and differences:

1) 82 + 35 = 117

2) 58 + 11 = 69

3) 73 + 54 = 127

4) 73 + 45 = 118

5) 61 - 46 = 15

6) 54 - 24 = 30

7) 51 - 47 = 4

8) 10 + 12 = 22

9) 56 + 16 = 72

10) 95 + 78 = 173

11) 53 - 13 = 40

12) 100 - 7 = 93

13) 74 - 36 = 38

14) 82 - 4 = 78

15) 66 - 46 = 20

your welcome lol

Answer:

Here are your answers

Step-by-step explanation:

Let's estimate the sums and differences to the nearest whole number by rounding each number first, and then performing the calculations:

1) 82.23 + 35.23 ≈ 82 + 35 = 117

2) 58.23 + 11.34 ≈ 58 + 11 = 69

3) 73.34 + 54.35 ≈ 73 + 54 = 127

4) 73.23 + 44.5 ≈ 73 + 45 = 118

5) 60.54 - 45.67 ≈ 61 - 46 = 15

6) 53.78 - 23.56 ≈ 54 - 24 = 30

7) 51.45 - 46.78 ≈ 51 - 47 = 4

8) 10.43 + 11.78 ≈ 10 + 12 = 22

9) 56.45 + 16.45 ≈ 56 + 16 = 72

10) 94.78 + 78.12 ≈ 95 + 78 = 173

11) 53.23 - 12.85 ≈ 53 - 13 = 40

12) 99.78 - 6.58 ≈ 100 - 7 = 93

13) 73.56 - 36.18 ≈ 74 - 36 = 38

14) 81.56 - 3.56 ≈ 82 - 4 = 78

15) 65.78 - 46.34 ≈ 66 - 46 = 20

Please note that these are rounded estimates

The answer will be option A Yes, the test value is in the rejection region.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

here the formula will be

\(Z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt {n}}}\)

\(Z=\dfrac{100-110}{\dfrac{5}{\sqrt{100}}}\)

\(Z=-20\)

Z critical value =-1.645

Z calculated> Z critical value so we will reject.

Hence the answer will be option A Yes, the test value is in the rejection region.

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Answer:

1) 4

2) 1

3) -7

4) 13

Step-by-step explanation:

Instructions:

a) Subtract or add the slope from each side

( it doesn't matter which one you pick )

b) Subtract or add the # next to the slope from each side

( it doesn't matter which one you pick )

c) Divide Each number by the slope

d You have you answer

____________________________________________

1) 9x - 35 = - 7x + 29

+7x + 7x

_____________________

16x - 35 = 29

+ 35 +35

_____________________

16x = 64

_____________________

16 16

x = 4

2). - 2x - 2 = 9x - 13

+2x +2x

_____________________

- 2 = 11x - 13

+ 13 + 13

_____________________

11 = 11x

_____________________

11 11

1 = x

3). 3x + 29 = - 5x - 27

+5x + 5x

_____________________

8x + 29 = - 27

-29 -29

_____________________

8x = -56

_____________________

8 8

x = -7

4). x - 11 = 3x - 37

- x - x

______________________

-11 = 2x - 37

+37 +37

______________________

26 = 2x

_______________________

2 2

13 = x

Hope this helps! (:

Answer:

With replacement

\(probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}\)

\(probability \ of \ spade \ then \ red\ card\ without\ replacement =\)\(\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}\)

Without replacement

\(probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}\)

\(probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}\)