5. Analyze and Persevere A recipe calls for 0.5 cup of milk. Express the number of cups of milk as a fraction.​

Answer: 3

Step-by-step explanation:

I'm smart

The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

Is there any more info on this?

Step-by-step explanation:

.

Answer:

the second one

Step-by-step explanation:

To represent the shape of an ellipse, we can use the equation: Where "a" represents half of the maximum horizontal width and "b" represents half of the maximum vertical length.

\((x^2/a^2) + (y^2/b^2)\)= 1

In this case, the maximum horizontal width is 18 feet, so a = 18/2 = 9 feet. And the maximum vertical length is 40 feet, so b = 40/2 = 20 feet.

Plugging these values into the equation, we get:

\((x^2/9^2) + (y^2/20^2)\) = 1

Simplifying the equation, we have:

\((x^2/81) + (y^2/400)\)= 1

Therefore, the equation that represents the pool is:

\((x^2/81) + (y^2/400)\) = 1

The equation that represents the pool is \((x^2/81) + (y^2/400)\) = 1.

The equation of an ellipse in the standard form is given by (

x^2/a^2) + (y^2/b^2) = 1, where "a" represents half of the maximum horizontal width and "b" represents half of the maximum vertical length. In this case, the maximum horizontal width of the pool is 18 feet, so a = 18/2 = 9 feet. The maximum vertical length is 40 feet, so b = 40/2 = 20 feet. Substituting these values into the standard form equation, we get

\((x^2/9^2) + (y^2/20^2)\) = 1.

Simplifying further, we have\((x^2/81) + (y^2/400)\)= 1.

This equation represents the shape of the pool, with the origin as its center. The pool is symmetrical along both the x-axis and y-axis, with the maximum vertical length of 40 feet and the maximum horizontal width of 18 feet. The equation allows us to determine the coordinates of any point on the boundary of the pool.

The equation that represents the pool in the shape of an ellipse is \((x^2/81) + (y^2/400)\) = 1.

This equation accurately describes the shape of the pool, with the given maximum vertical length of 40 feet and maximum horizontal width of 18 feet.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:

According to the given data we have the following:

Whitney earns 312 in 26 hours of work

Andrew earns 451 in 41 hours of work

Lena earns 10 per hour

In order to calculate who earns the most money per hour we would have to calculate the rate of money per hour of Whitney and Andrew and the compare it with Lena.

So, money per hour of whtiney=312/26

money per hour of whtiney=12 per hour

money per hour of Andrew=451/41

money per hour of Andrew=11 per hour

Therefore, Whitney is the person that earns most money per hour.

The minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1.

To determine the minimum number of terms n required for the sum sn to have an error less than 0.0399, we need to use the formula for the error term of a finite series:

|En| ≤ ((M * (b-a)^n)/(n!))

where En is the error term, M is the maximum value of the (n+1)th derivative of the function, a and b are the limits of integration, and n is the number of terms in the series.

Since we do not have a specific function or limits of integration, we cannot determine the exact value of M. However, we can use an upper bound for M, which is the maximum value of the (n+1)th derivative of the function over the entire interval [a,b]. Let's assume that M = K, where K is some constant.

Then we have:

|En| ≤ ((K * (b-a)^n)/(n!))

We want the error to be less than 0.0399, so we can set up the following inequality:

((K * (b-a)^n)/(n!)) < 0.0399

To solve for n, we need to use a numerical method such as trial and error, or a graphing calculator. We can also use a table of values for n! and (b-a)^n to simplify the inequality.

For example, if we assume that K = 1 (which is a reasonable assumption for many functions), and let b-a = 1 (i.e. we are integrating over the interval [0,1]), we can create a table of values for n! and (b-a)^n:

n | n! | (b-a)^n
--|----|---------
1 | 1  | 1
2 | 2  | 1
3 | 6  | 1
4 | 24 | 1
5 | 120| 1
6 | 720| 1

Using these values, we can rewrite the inequality as:

(K/n!) < (0.0399/(b-a)^n)

Plugging in our values, we get:

1/n! < 0.0399

Solving for n using trial and error or a graphing calculator, we find that n = 4 is the minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1. However, keep in mind that this value may change depending on the specific function and limits of integration.

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The number of possible codes depends on the number of keys on the keypad and can be calculated using factorial notation: n!, where n is the number of keys.

the keypad has a certain number of keys, and each key can be used only once in the code. This implies that the code length is equal to the number of keys on the keypad.

To calculate the number of possible codes, we can use the concept of permutations. In a permutation, the order of the elements matters, and repetition is not allowed.

If there are n keys on the keypad, the first key can be chosen in n ways. After selecting the first key, the second key can be chosen from the remaining (n-1) keys in (n-1) ways. Similarly, the third key can be chosen in (n-2) ways, and so on.

Therefore, the total number of possible codes is given by the product of these choices: n * (n-1) * (n-2) * ... * 2 * 1, which is equal to n factorial (n!).

For example, if the keypad has 4 keys, the number of possible codes would be 4 factorial (4!) = 4 × 3 × 2 × 1 = 24. So, there would be 24 different codes that can be entered using the available keys on the keypad.

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Answer:

\(- 5 {p}^{2} {q}^{2} \)

Step-by-step explanation:

\( \frac{ {p}^{4}q }{ - 3 {p}^{3} } \times 15pq \\ \frac{ {p}^{4} q \times 15pq}{ - 3 {p}^{3} } \\ \frac{15 {p}^{(4 + 1)} {q}^{(1 + 1)} }{ - 3 {p}^{3} } \\ \frac{15 {p}^{5} {q}^{2} }{ - 3 {p}^{3} } \\ 15 {p}^{5} {q}^{2} \div - 3 {p}^{3} \\ (15 \div - 3)( {p}^{5 - 3} ) {q}^{2} \\ - 5 {p}^{2} {q}^{2} \)

Hope this helps you.

Please let me know if you have another questions :-)

Answer:

Yes, quadrilateral ABCD is rectangle.

Step-by-step explanation:

This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.

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The probability of getting an even number on the spinner after one spin is: 1/2

We are given the spinner as shown in the attached image and we see that it has the following numbers:

5, 6, 2 and 3

Now, we want to find the probability of getting an even number for each spin.

The probability is:

Probability = Number of favorable outcomes/Total number of outcomes.

There are two even numbers out of the 4 numbers on the spinner.

Thus:

P(even number) = 2/4 = 1/2

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The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).

To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.

The derivative of

y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).

At the origin, x = 0, so the slope of the tangent at the origin is

y' = (1/2)cos(0) = 1.

Therefore, the equation for the tangent to the graph of

y = arcsin(x/2) at the origin is y = x, which has a slope of 1.

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Answer:

300 students

Step-by-step explanation:

There are two ways to solve this question.

60 is 20% of the total students

20÷100= 0.2

60÷0.2=300

Therefore there are 300 students

60 is 20% of the total students

60/20 = x/100

x= 60*100÷20

x= 6000÷20

x= 300

Therefore there are 300 students.

Answer:

4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 2, - 8 )

d = \(\sqrt{(-2-(-2))^2+(-8-(-4))^2}\)

  = \(\sqrt{(-2+2)^2+(-8+4)^2}\)

  = \(\sqrt{0^2+(-4)^2}\)

  = \(\sqrt{0+16}\)

  = \(\sqrt{16}\)

  = 4

Answer:

Step-by-step explanation:

Given points:

Since the x-coordinates are same, the distance between them is the absolute value of the difference in y- coordinates:

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals. A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units.

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.

A diagonal in geometry is a line segment that connects two polygonal vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

A, B, C, D, E, F, G & H form a cuboid. AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm. That is l=3.2 cm, b=1.6 cm, h=7.7 cm.

√(l² + b² + h²) units.

=√(3.2²+1.6²+7.7²)

=8.49 cm

≈8.5 cm

A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units. The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals.

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a. P(X = 5) = 0.2930 b. P(X = 4) = 0.3565 c. P(X ≥ 4) = 0.7841                  These probabilities are calculated based on the given parameters of the binomial random variable X with n = 6 and p = 0.68.

a. P(X = 5) refers to the probability of getting exactly 5 successes out of 6 trials when the probability of success in each trial is 0.68. Using the binomial probability formula, we calculate this probability as 0.3151.

b. P(X = 4) represents the probability of obtaining exactly 4 successes out of 6 trials with a success probability of 0.68. Applying the binomial probability formula, we find this probability to be 0.2999.

c. P(X ≥ 4) indicates the probability of getting 4 or more successes out of 6 trials. To calculate this probability, we sum the individual probabilities of getting 4, 5, and 6 successes. Using the values calculated above, we find P(X ≥ 4) to be 0.7851.

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Answer:

-3639555 Kg

Step-by-step explanation:

obviously this equation is trying to teach you things In a weird way

Answer:

\( \cos(o) = \frac{12}{13} \)

Step-by-step explanation:

cos O = adjacent / hypotenuse

cos O = 12/13

I hope I helped you^_^

Answer:

Cos 0 = 12/13

Step-by-step explanation:

Adyacent side/hypotenuse

Cos 0 = 12/13

When all observations on the independent variable are identical in a linear regression model, it leads to a situation known as perfect multicollinearity.

Perfect multicollinearity occurs when there is an exact linear relationship between the independent variables, making it impossible to estimate unique intercept and slope coefficients using ordinary least squares (OLS) regression.

In the presence of perfect multicollinearity, the OLS estimation method fails because it relies on inverting the matrix of the independent variables, which becomes singular or non-invertible when there is a perfect linear relationship. Consequently, it becomes impossible to obtain unique estimates for the intercept and slope coefficients.

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Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

To test the claim about the average weight of high school students in Riyadh city, we can use a one-sample t-test. Here are the steps to perform the test:

Define the null hypothesis (H0) and the alternative hypothesis (Ha):

Null hypothesis (H0): The average weight of high school students in Riyadh city is 230 pounds or less.

Alternative hypothesis (Ha): The average weight of high school students in Riyadh city is greater than 230 pounds.

Set the significance level (α): The significance level is given as α = 0.1, which means we are willing to accept a 10% chance of making a Type I error.

Calculate the test statistic:

Sample mean (): 232

Population standard deviation (σ): 10

Sample size (n): 52

The test statistic is calculated using the formula:

t = (- μ) / (σ / √n)

where μ is the hypothesized population mean.

Plugging in the values, we get:

t = (232 - 230) / (10 / √52)

Determine the critical value: Since the alternative hypothesis is one-tailed (greater than), we need to find the critical value from the t-distribution table at the given significance level and degrees of freedom (n - 1 = 52 - 1 = 51).

Compare the test statistic with the critical value:

If the test statistic is greater than the critical value, we reject the null hypothesis.

If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

Calculate the p-value: If desired, you can calculate the p-value associated with the test statistic and compare it with the significance level. If the p-value is less than the significance level, we reject the null hypothesis.

Please provide the critical value associated with the given significance level (α) and the degrees of freedom (df = n - 1).

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Answer:

More

Step-by-step explanation:

Any whole number that can be represented in base 10 can also be represented in base 2, although it may take more digits.

Answer:

2/3

Step-by-step explanation:

Simplify

\(26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26\)

Group constants

\(30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\\)

Isolate the term, a

\(-6a=-4\\\frac{-6a}{-6}=\frac{-4}{-6}\\\frac{6a}{6}=\frac{-4}{-6}\\a=\frac{-4}{-6}\\\\\frac{-a}{-b} = \frac{a}{b}\\\\a=\frac{4}{6}\\a=\frac{2\cdot 2}{3\cdot 2}\\a=\frac{2}{3}\)

Answer:

Step-by-step explanation:

x² + 6x - 4 = 0

Add 4 to both sides

x²- 6x  = 4

Take the coefficient of x and divide it by 2.  6 ÷ 2 = 3

Now square the number that we got after dividing by 2. 3² = 9

Add 9 to both side of the equation.

x² - 6x + 9 = 4 + 9

x² - 6x + 9 = 13

{ This is in a² - 2ab + b² form}

x² - 2*x *3 + 3² = 13

(x  - 3)² = 13

To find the solution, take square root

x -3 =  √13

x - 3 = ± 3.61

x = 3.61 +3    ; x = -3.61 + 3

x = 6.61    ;   x = -0.61

2)x² - 10x + 14 = 0

x² - 10x = -14

x² - 10x + 25 = -14 + 25

x² - 2*x*5 + 5² = 11

(x - 5)² = 11

Solution

x - 5 = √11

x - 5 = ±3.32

x = 3.32 +5  ; x = -3.32 + 5

x = 8.32    ; x = 1.68

x = 8.32

From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

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