please help ! quick !

Answer:

d) 6y=x+5

Step-by-step explanation:

To find if two linear equations are parallel, their slopes* (x) have to be the same, and their y intercepts** have to be different.

5y=x+2 is parallel to the equation,
6y=x+5 because the slope is the same and the y intercept is different.

*The slope in an equation is the x value.

Example 1: 2y=6x+3
In this equation, 6x is the slope of the line.

Example 2: y=3x+4
In this equation 3x is the slope.

**The y intercept of an equation is the number without a letter in front.

Example 1: 3y=2x +6
In this equation the 6 would be the y intercept.

Example 2: y=4x+7
The y intercept in this equation is 7.

Hope this helps!

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

\(tn = 5 + (n - 1)2\)

Step-by-step explanation:

hope it's correct

Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:

```matlab

a = -2;    % Lower limit

b = 2;     % Upper limit

n = 1000;  % Number of subintervals (increase for higher accuracy)

h = (b - a) / n;   % Step size

x = a:h:b;         % Generate evenly spaced x values

y = 1 ./ (25 + x.^2).^1.5;  % Evaluate the function at x

approximation = h * (sum(y) - (y(1) + y(end)) / 2);  % Trapezoidal Rule approximation

fprintf('Approximation: %.6f\n', approximation);

```

1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).

2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).

3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.

4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.

5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.

The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.

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A two-sample t-test should be used to compare the mean waiting times of the two hospitals.

A two-sample t-test is a statistical test used to compare the means of two independent groups.

It is used to determine whether there is a significant difference between the means of the two groups, based on the assumption that the data is normally distributed and that the variances of the two groups are equal.

The test calculates a t-statistic, which is compared to a critical value based on the degrees of freedom and the desired level of significance to determine if the difference between the means is statistically significant.

Here we want to know if the eibmoz hospital or the eripmav hospital had the shortest er waiting time.

we pick 40 random days, and times each er on those days.

To compare the mean waiting times of two different hospitals, you can use a two-sample t-test.

In this case, you would collect data on the waiting times at both the Eibmoz and Eripmav hospitals on the same 40 random days and calculate the sample means and standard deviations for each hospital.

You would then use a two-sample t-test to determine if there is a statistically significant difference between the mean waiting times at the two hospitals.

Hence,

A two-sample t-test should be used to compare the mean waiting times of the two hospitals.

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if r(x) = x² and r(x) = 4, then the value of x = ± 2

Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

For example y = x+5 and the same y = 2x+7

then we can say that x+5 Is also equal to 2x+7

2x+7 = x+5

then x = -2

similarly r(x) = x²

thesame r(x) = 4

this means that x² = 4

solving for x

we find the square root of both sides

√x² = √4

x= ±2

It is ± because square root value as two possible values of either both positive or both negative.

Therefore the value of x is ±2

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Answer: 2 log y - log 25

Step-by-step explanation:

Notes: Division expands to subtraction.  Exponent expands to multiplication.

\(log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}\)

Answer:

B. 5k + 11l

Step-by-step explanation:

Add similar terms:

3k + 2k = 5k

5l + 6l = 11l

Therefore:

3k + 5l+ 6l + 2k = 5k + 11l

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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For the given frequency table the percent of seniors is 10%.

A frequency table counts the occurrences of each value or range of values in a dataset to organise and summarise the data. It is frequently employed in statistics to give a brief summary of the data and to spot patterns or trends.

The data is initially separated into equal-sized intervals called "classes" in order to construct a frequency table. Following that, a count of the data points belonging to each class is made, and the results are reported in a table manner. Columns for the classes, the frequency (count) of each class, and occasionally the relative frequency or percentage of each class can all be found in the table.

The total frequency is from the given table is:

1 + 2 + 5 + 2 = 10

The frequency of seniors is 1, so the percentage of seniors is:

(1/10) x 100% = 10%

Hence, for the given frequency table the percentage of seniors is 10%.

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Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.

To determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1

But the second term of the sequence is 8, not 1. So the formula is incorrect.

Similarly, for the fourth term, n = 4, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16

But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.

Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.

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To compute the z-score for each observation, we need to standardize the data using the formula z = (x - μ) / σ, where x is the individual observation, μ is the mean of the sample, and σ is the standard deviation of the sample.

Given the sample observations: 16, 11, 13, 22, 15, and 19, we can calculate the z-score for each observation as follows:

Calculate the mean (μ) of the sample:

μ = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 16

Calculate the standard deviation (σ) of the sample:

Step 1: Calculate the squared deviations from the mean for each observation:

(16 - 16)², (11 - 16)², (13 - 16)², (22 - 16)², (15 - 16)², (19 - 16)²

0, 25, 9, 36, 1, 9

Step 2: Calculate the variance:

Variance = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 ≈ 13.33

Step 3: Calculate the standard deviation:

σ = √(Variance) = √13.33 ≈ 3.65

Calculate the z-score for each observation:

z = (x - μ) / σ

For 16: z = (16 - 16) / 3.65 = 0 / 3.65 = 0

For 11: z = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

For 13: z = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

For 22: z = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

For 15: z = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

For 19: z = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

The z-scores for the given sample observations are: 0, -1.37, -0.82, 1.64, -0.27, and 0.82.

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Answer:

9.102

Step-by-step explanation:

Assuming this means multiply to each other

1.11 x 8.2 = 9.102

Answer:

its 0 :)

Step-by-step explanation:

Answer:

B. Zero

Step-by-step explanation:

y=mx+b is the slope inter form

mx = rise/run

In this case, mx=0/0 which is 0

So the slope is equal to 0

Answer:

Step-by-step explanation:

|x-a|≤b

-b≤x-a≤b

add a

a-b≤x≤a+b

put a-b=-8

a+b=-4

add

2a=-12

a=-12/2=-6

-6+b=-4

b=-4+6=2

so |x+6|≤2

Answer: Each friend will get 3 gumballs.

Step-by-step explanation:

Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.

Total gumballs he has = 4 x 5 = 20

Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6)  gumballs

\(20\div 6=\dfrac{20}{6}=\dfrac{18+2}{6}=\dfrac{3\times6+2}{6}=3\dfrac26\)

So each friend will get 3 gumballs.

9514 1404 393

Explanation:

The quadrilateral is a parallelogram if the midpoints of its diagonals are the same point. That is, if ...

  (N +Q)/2 = (P +R)/2

Multiplying by 2, we can simplify the test to ...

  N +Q = P +R

  (5, 1) +(6, 9) = (2, 7) +(9, 3)

  (5+6, 1+9) = (2+9, 7+3)

  (11, 10) = (11, 10) . . . . . . . true ∴ NPQR is a parallelogram

The given ODE is x˙=−3x+4 with x(0)=5. The ODE is of the first order and linear, so it can be solved using the integrating factor method.

The integrating factor method is given as;\($$\frac{dx}{dt}$+$p(t)x=q(t)$$\)

Multiplying both sides by the integrating factor, we have;

\($$\begin{aligned}\mu x'+\mu p x &= \mu q\\ (\mu x) &= \int \mu q \ dt\end{aligned}$$Where p(t)=-3, q(t)=4 and x(0)=5\).

Therefore the integrating factor is;

\($$\mu = e^{\int p(t) \ dt}$$So;$$\begin{aligned}\mu &= e^{\int -3 \ dt}\\ &= e^{-3t}\end{aligned}$$\)

Multiplying both sides of the ODE by the integrating factor, we have;

\($$\begin{aligned}e^{-3t} x'+e^{-3t} (-3)x &= e^{-3t} (4)\\ \frac{d}{dt} (e^{-3t} x) &= 4 e^{-3t}\end{aligned}$$\)

Integrating both sides, we have;

\($$\begin{aligned}e^{-3t} x &= \int 4 e^{-3t} \ dt\\ &= \frac{4}{-3} e^{-3t} + C\end{aligned}$$\) where C is the constant of integration. Solving for C, we have;\($$5=e^{0} x = \frac{4}{-3} e^{0} + C$$\)

Hence, C= 5 + 4/3

= 19/3.

Therefore, the general solution is;\($$x(t) = \frac{4}{-3}$ + \frac{19}{3} $e^{3t}$$\)

This solution was obtained using the integrating factor method, which involves determining the integrating factor, multiplying both sides of the ODE by the integrating factor, finding the antiderivative of both sides of the resulting equation, and solving for the constant of integration using the initial condition.

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The factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(5x(x+4)\)

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial in the problem is,

\(5x^2+20x\)

Take out the greatest common factor from the above expression. As the greatest common factor of the above polynomial is 5 (5, 20), which can divide each terms. Therefore,

\(5(x^2+4x)\)

Now take out the greatest common factor in terms of variable a and y. The lowest power of x is 1. Therefore, the equation become,

\(5x(x+4)\)

Hence, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,

\(5x(x+4)\)

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Answer: 5x(x + 4)

5 is common factor

also x

reverse distributive

ab+ac=a(b+c)

5x(x)+5x(4)=5x(x+4)

Thus the answer is: 5x(x + 4)

Answer:

-19

Step-by-step explanation:

apologies i did it wrong

Answer:

-19

Step-by-step explanation:

22 PLUS 7 IS 29 THE SUBTRACT 14 WHICH IS 15 THEN ADD 4 WHICH IS -19

PLEASE MARK ME AS BRAINLIEST

TIIMWOOD stands for Technology, Information, Infrastructure, Money, Materials, Manpower, Organization, and Data. These elements are crucial in various aspects of business and project management. One example of TIIMWOOD is "Money," which refers to the financial resources required for a project.

In project management, "Money" is a vital element of TIIMWOOD. It encompasses the financial resources necessary for the successful execution of a project. Money includes the funds allocated for procurement, labor costs, equipment and material expenses, overhead expenses, and any other financial requirements.
For example, consider a construction project to build a new office building. The "Money" aspect of TIIMWOOD would involve the budget needed to purchase construction materials, hire laborers, and cover other expenses like permits, insurance, and utility connections. Adequate funding is essential to ensure the project's progress, meet financial obligations, and mitigate any unexpected costs or delays.
By considering the "Money" aspect within the TIIMWOOD framework, project managers can effectively plan and allocate financial resources, monitor expenditures, and make informed decisions to keep the project on track and within budget. This holistic approach helps ensure the overall success of the project.

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The sets of transformations that result in the same image when performed in any order are:

Translation, dilation with center (0,0)

Two translations

In mathematics, a transformation refers to a process that changes the size, shape, position, or orientation of a geometric figure or an object in a coordinate plane or space. There are several types of transformations, such as translation, rotation, reflection, and dilation, which are used to alter the original figure to create a new one that is similar or congruent to the original. Transformations are used in geometry, algebra, and other branches of mathematics to study and understand various properties of geometric shapes and objects.

Here,

For the first set, if we perform a translation followed by a dilation with center (0,0), the result will be the same as if we perform the dilation first followed by the translation. This is because the dilation does not change the direction of the translation, and the center of dilation is at the origin, so the translation is unaffected.

For the second set, any two translations can be combined to form a single translation, so the order in which they are performed does not matter.

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Answer:

Please make you photo clear

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, \(\overline x\) = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, \(\overline x_1\) = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = \(\overline x\) + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16