how can i set up this equation?

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Symbolic models are those that are based on mathematical formulas.

The goal of symbolic modelling is to help clients become more aware of their own "symbolic domain of experience," allowing them to create their own "metaphor landscape" and explore internal metaphors, which are believed by conceptual metaphor theory to influence behaviour.

What benefits do symbolic models offer?

One of the most significant and defining technologies of next-generation modelling methodologies is swiftly emerging as symbolic computation. It allows the freedom to easily create model equations, manage models more effectively, and reach the best outcomes more quickly.

Describe domain through an example.

the domain name example.com might be connected to the address 198.102. 434.8.

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Answer:

30 baloons

Step-by-step explanation:

1. Remove the price of the banner from the total amount you can spend.  You should then end up with $90

2.  Divide 90 by 3, because each balloon costs $3.  You should end up with 30.

Answer:

30 balloons

Step-by-step explanation:

Cost of banner = $ 35

Remaining amount after paying for banner = 125 - 35 = $90

Number of balloons = Remaining amount ÷ cost of one balloon

= 90 ÷ 3

 = 30

The answer for this question is false.

We know that about the sampling distribution, for this case is what is the probability that we obtain his sample this extreme?

So let's say the meanest  zero here we obtained samples or Have it. That's a Z score of 2.86 from the Normal Distribution,

for example, that would be a very extreme sample. And we want to find what is the probability that we selected sample?

If the null hypothesis is true, However, what is non random means there are biases, then the bias will cause the result to be either larger or you lower than the population mean also called the population average or 'u'. Not by chance, but by human selection. So which prevents us from drawing any definitive conclusion from our results.

Hence, the answer is False.

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To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.

Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B.  At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.

To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.

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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.

The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.

The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.

However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.

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Answer:

d

Step-by-step explanation:

they made 5 and have three left hope I helped good luck

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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Answer:

\(m = 360 - (59 + 77) \)

Hi!

How to remove the factor from the radical?

The answer is in the picture.

⇒ \(\sqrt{75}=\bf\red{\boxed{5\sqrt3}}\)

Answer:

y=400x+0

or simply

y=400x

Step-by-step explanation:

Ok slope= Rise over run

Y-intercept= point where x is 0

y-intercept= (0,0)

slope= 400/1=400

m=slope

b=y-intercept

y=mx+b

y=400x+0

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

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Given:

Brown’s time for running a mile in gym class = 9.9 minutes

Ray’s time for running a mile in gym class = 9.47 minutes

Malcolm’s time for running a mile in gym class = 9.76 minutes

To find:

Who ran the mile in less time?

Solution:

It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.

9.47 < 9.76 < 9.9

Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.

7 + 7 + 7 + 7 + 7​ means 7 is added 5 times

It could be written as

5(7)

7 x 5 and

7 . 5

But it can not be written as 7^5 because 7^5 means 7 x 7 x 7 x 7 x 7

Hence, 7^5 does not represent the expression 7 + 7 + 7 + 7 + 7​

This makes the correct option to be the third option. That is 7^5

(a) The events E and F are independent in this case. The outcome of the first toss does not affect the outcome of the last toss, and vice versa. Therefore, the occurrence of E (the first throw resulting in a head) does not provide any information about the occurrence of F (the last throw resulting in a tail), and vice versa.

To determine whether events E and F are independent, we need to consider if the outcome of one event affects the probability of the other event.

(a) E: "the first throw results in head". F: "the last throw results in tail".

In this case, the outcome of the first toss (head) does not provide any information about the outcome of the last toss (tail), and vice versa. The probability of getting a head or tail on the first and last tosses remains the same regardless of each other. Therefore, events E and F are independent.

(b) E: "the number of heads is two". F: "the last throw results in head".

In this case, if we know that the number of heads is two, it means that the first two tosses must have resulted in heads. This information affects the probability of the last toss resulting in a head. Thus, events E and F are not independent.

(c) E: "the number of heads is odd". F: "the number of tails is odd".

In this case, the number of heads being odd means that either one or three heads were obtained in the three tosses. If we have this information, it affects the probability of having an odd number of tails. Therefore, events E and F are not independent.

In summary, events E and F are independent only in case (a) where E represents the first throw resulting in a head, and F represents the last throw resulting in a tail.

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In the given scenarios, the events E and F are independent in case (b) and case (c), but not in case (a).

In case (a), the events E and F are not independent because the outcome of the first throw (E) affects the outcome of the last throw (F). If the first throw results in a head, then it is impossible for the last throw to result in a tail, making the events dependent.

In case (b), the events E and F are independent. The event E: "the number of heads is two" is not influenced by the event F: "the last throw results in head." The number of heads can be determined by the outcomes of the first two throws, and the last throw does not affect this probability. Therefore, the events E and F are independent.

In case (c), the events E and F are also independent. The event E: "the number of heads is odd" and the event F: "the number of tails is odd" are unrelated. The number of heads and the number of tails can be determined independently based on the outcomes of the coin tosses. The outcome of one event does not affect the probability of the other event occurring, making them independent.

Events E and F are independent in cases (b) and (c), but not in case (a). In case (a), the outcome of the first throw affects the outcome of the last throw, making the events dependent. However, in cases (b) and (c), the outcomes of the events are determined independently of each other, making them independent events.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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The function f(x) = 2x2 − 8x 2 with domain [0, 3] has the following relative and absolute extrema: Relative maximum at x = 1 and relative minimum at x = 2.Absolute maximum at x = 0 and absolute minimum at x = 3.

To find the extrema of the function f(x) = 2x2 − 8x 2 with domain [0, 3], we need to find the critical points and then determine whether they correspond to relative maxima, relative minima, or neither. We also need to check the endpoints of the domain to determine whether they correspond to absolute maxima or absolute minima.1. Find the critical points: Critical points are values of x at which the derivative of the function is zero or undefined. To find the derivative of f(x), we use the power rule:f '(x) = 4x − 8Setting this equal to zero, we get:4x − 8 = 0x = 2. This is the only critical point in the interval [0, 3].2. Determine whether the critical point corresponds to a relative maximum, relative minimum, or neither:To determine the nature of the critical point, we need to examine the sign of the derivative on either side of x = 2. We construct a sign chart: xf '(x)0−82−4+84+8From the sign chart, we see that f '(x) changes sign from negative to positive at x = 2, so this critical point corresponds to a relative minimum of f(x).3. Check the endpoints of the domain: We need to evaluate the function at the endpoints of the interval [0, 3] to determine whether they correspond to absolute maxima or absolute minima.f(0) = 0f(3) = −18Therefore, the absolute maximum of f(x) on [0, 3] occurs at x = 0, and the absolute minimum occurs at x = 3.Thus, the function f(x) = 2x2 − 8x 2 with domain [0, 3] has a relative maximum at x = 1 and a relative minimum at x = 2. The absolute maximum of f(x) on [0, 3] occurs at x = 0, and the absolute minimum occurs at x = 3.

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From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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Answer:    2,318 miles

Step-by-step explanation:

The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

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The Fourier Transform of x(t) = f(|t|) is given by:X(f) = 2∫_0^∞ f(t) cos(2πft) dtThe above is the required frequency-domain representation.

Let's evaluate the frequency-domain representation x(t) = f(|t|) of the following signal using the definition equation for the Fourier Transformation.

According to the definition equation of the Fourier transformation, the frequency-domain representation X(f) of x(t) is given by the equation below:X(f) = ∫_(-∞)^∞ x(t) e^(-j2πft) dt

Taking the Fourier Transform of x(t) = f(|t|), we get:X(f) = ∫_(-∞)^∞ f(|t|) e^(-j2πft) dt Let's substitute t with -t to obtain the limits from 0 to ∞:X(f) = ∫_0^∞ f(t) e^(j2πft) dt + ∫_0^∞ f(-t) e^(-j2πft) dt

Since f(t) is an even function and f(-t) is an odd function, the first integral equals the second integral but with the sign changed.

The Fourier transform of an even function is real, whereas the Fourier transform of an odd function is imaginary.

Therefore, the Fourier Transform of x(t) = f(|t|) is given by:X(f) = 2∫_0^∞ f(t) cos(2πft) dtThe above is the required frequency-domain representation.

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For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.

We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,

Cost for dinner parties | number of guests

(each guest)

$315 30

$555 60

We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315

so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450

Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one

So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300

Now, we have total guest = 90

The cost to cater a dinner party with 90 guests

= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300

= $42750

Hence, required value is $42750.

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Answer:

x = 30, and the measure of NMO is 64°

Step-by-step explanation:

Since MO bisects LMN, it follows that LMO is congruent to NMO, and the measure of LMN is twice the measure of LMO and of NMO. So we have:

\(5x - 22 = 2(x + 34)\)

\(5x - 22 = 2x + 68\)

\(3x = 90\)

\(x = 30\)

So the measure of NMO is equal to the measure of LMO:

\(30 + 34 = 64\)

LMO and NMO are 64°.

Answer:

x=30

MO bisects LMN

so LMO = NMO

then LMO+NMO=LMN

Answer:

58

Step-by-step explanation:

5 * 12 = 60

60 - 2 = 58

Answer:

k=4

Step-by-step explanation:

5k-2k=12

5(4) - 2(4) = 12

20 - 8 = 12

12 = 12

Answer:

r7

Step-by-step explanation:

Answer:

The total volume of the apartment is

✔ 2,160

An hourly rating of 2.5 BTUs per cubic foot is required, so

✔ multiply the total volume by 2.5

Arthur needs an air conditioner that will provide

✔ 5,400

BTUs to properly cool his apartment.

Step-by-step explanation:

you're welcome

Answer:

2,160

multiply the total volume by 2.5

5,400 BTUs

Step-by-step explanation:

cause said so

The value of z is approximately 1.28 (rounded to two decimal places).

To find the value of z such that 0.1 of the area lies to the right of z, we need to determine the z-value corresponding to the 90th percentile of the standard normal distribution. This can be achieved using a standard normal distribution table or statistical software.

In detail, the standard normal distribution has a mean of 0 and a standard deviation of 1. The area under the curve is standardized, allowing us to use z-scores to find percentiles. Since we want to find the z-value corresponding to the 90th percentile, we are looking for the value that leaves 10% of the area to the right. Using a standard normal distribution table or statistical software, we find that the z-value corresponding to the 90th percentile is approximately 1.28. Therefore, the value of z is approximately 1.28.

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Answer:

Step-by-step explanation:

3245

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.