Consider the two slope fields shown, in figures 1 and 2 below. On a print-out of these slope fields, sketch for each three solution curves to the differential equations that generated them. Then complete the following statements: For the slope field in figure 1. a solution passing through the point (0.-1) has slope. For the slope field in figure 1. a solution passing through the point (-2.2) has slope. For the slope field in figure 2. a solution passing through the point (1.-3) has slope For the slope field in figure 2. a solution passing through the point (0.4) has a slope.

The probability of at least 10 cities out 45 have a commute time greater than 30 minutes is 0.893 or 89.3%

Apply the complement rule.

Probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes,

The complement of the event is 'none of the 10 cities have a commute time greater than 30 minutes'.

The probability of the complement event can be calculated by ,

Multiplying probabilities of selecting a city with a commute time less than or equal to 30 minutes for each of 10 selections.

P(none of 10 cities have a commute time > 30 minutes) = (35/45) x (35/45) x ... x (35/45) (10 times)

Because there are 35 cities out of the total 45 that have a commute time less than or equal to 30 minutes.

So the probability that at least one of the 10 cities has a commute time greater than 30 minutes is,

1 - P(none of the 10 cities have a commute time greater than 30 minutes)

= 1 - (35/45) x (35/45) x ... x (35/45) (10 times)

= 1 - 0.1073

= 0.8926

Therefore, the probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes is 0.893 or 89.3%.

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The above question is incomplete, the complete question is:

If i randomly sample two cities from this group (consider these 45 the 'population' if you will) then what is the probability that at least one of the 10 cities i select will have a commute time greater than 30 minutes?

Answer:

B

Step-by-step explanation:

44/77

=0.55

Answer: 4

Step-by-step explanation:

So the given statement here is that x = 2. This problem shows substitution so you would out the 2 in place of the x given in the expression. Leading to 2+2

Answer:

C is the answers for the question

Step-by-step explanation:

please give me brainlest

Step-by-step explanation:

false

4^0 + 5^0 + 6^0= 1+1+1=3

(4+5+6)^0= 3⁰=1

1≠3

Answer:

false

Step-by-step explanation:

anything to the power of 0 is 1 so the left side is 3 while the right side is 1

Answer:

y=23

Step-by-step explanation:

Given , y=5x+8 if x=3

y= 5×3+8

y=15+8

y=23

.'. y=23 is Ans

Answer:( 1.26 x 10 ^ 5 ) / ( 2.8 x 10 ^ 4 ) = 4.5 times bigger

Step-by-step explanation:

For each of the functions, the roots are;'

1.  -1/4 (twice)

2. -2/5 and -4

3. -1/4 and 5

The roots of the functions can be obtained when we factor the expressions as given.

When we factor the expression;

16x^2 + 8x + 1 we get (4x + 1) (4x + 1)

Thus the zeros of the function are -1/4 (twice)

When we factor the expression;

-5x^2 - 22x - 8 we get (-5x - 2) (x + 4)

Thus the zeros are;

-2/5 and -4

When we factor the expression;

4x^2 - 19x -5 we get (4x + 1) ( x - 5)

The zeros are;

-1/4 and 5

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Answer:

It will be seven in 10 mins

Step-by-step explanation:

hope this helps

The particular solution to the differential equation with the initial condition x(0) = 6 is: (1/12) ln|x - 6| - (1/12) ln|x + 6| = (1/4) arctan(t/4) - (1/12)  ln(12).

To solve the differential equation \((t^2 - 16) dx/dt = (x^2 - 36)\) using separation of variables, we can rearrange the equation as follows:

\((t^2 - 16) dx = (x^2 - 36) dt\)

Now, we can separate the variables by dividing both sides of the equation:

\(dx / (x^2 - 36) = dt / (t^2 - 16)\)

Next, we integrate both sides of the equation with respect to their respective variables.

\(∫ dx / (x^2 - 36) = ∫ dt / (t^2 - 16)\)

For the left side, we can use partial fraction decomposition to simplify the integral. The denominator \(x^2 -\) 36 can be factored as (x - 6)(x + 6), so we can write it as:

\(dx / (x^2 - 36) = A / (x - 6) + B / (x + 6)\)

To find the values of A and B, we can use algebraic manipulation or equate the numerators:

1 = A(x + 6) + B(x - 6)

By substituting x = 6, we get:

1 = 12A

A = 1/12

By substituting x = -6, we get:

1 = -12B

B = -1/12

Substituting these values back into the integral, we have:

\(∫ dx / (x^2 - 36) = ∫ (1/12) / (x - 6) - (1/12) / (x + 6) dx\)

Integrating both sides, we get:

(1/12) ln|x - 6| - (1/12) ln|x + 6| = ∫ \(dt / (t^2 - 16)\)

(1/12) ln|x - 6| - (1/12) ln|x + 6| = (1/4) arctan(t/4) + C

Now, we can apply the initial condition x(0) = 6 to find the value of C:

(1/12) ln|6 - 6| - (1/12) ln|6 + 6| = (1/4) arctan(0/4) + C

0 - (1/12) ln|12| = 0 + C

-(1/12) ln(12) = C

Therefore, the particular solution to the differential equation with the initial condition x(0) = 6 is:

(1/12) ln|x - 6| - (1/12) ln|x + 6| = (1/4) arctan(t/4) - (1/12) ln(12)

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What is the particular solution of (t^2 16) dx/dt = (x^2 36), using separation of variables, given the initial condition x(0)=6

Answer:

Step-by-step explanation:

AJ's gross pay is $739.20. Dorian's gross pay is $2,762.50. Darien's hourly wage is $22.59.

1. To calculate AJ's gross pay, we need to determine the overtime hours he worked. Since he worked 48 hours and the regular work hours are 40, AJ worked 8 hours of overtime. His overtime rate is 1.5 times his regular hourly rate, which is $15.40. Therefore, the overtime pay is 8 * $15.40 * 1.5 = $184.80. Adding the regular pay of 40 * $15.40 = $616, the gross pay is $616 + $184.80 = $800.80. Therefore, the correct answer is option C, $800.80.

2. To calculate Dorian's gross pay, we need to determine the commission earned. Her commission is 3% of the total sales, which is 3% * $10,850 = $325.50. Adding this commission to her monthly salary of $2,446, the gross pay is $2,446 + $325.50 = $2,771.50. Therefore, the correct answer is option D, $2,771.50.

3. To calculate Darien's hourly wage, we need to subtract the taxes he paid from his net pay and divide it by the number of hours worked. His net pay is $663.26 - ($128.51 + $66.75) = $663.26 - $195.26 = $468. His hourly wage is $468 / 38 = $12.32. Therefore, the correct answer is not provided among the options.

In conclusion, AJ's gross pay is $800.80, Dorian's gross pay is $2,771.50, and Darien's hourly wage is $12.32 (not among the given options).

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We are given two rational expressions: one with (y² - 13y + 36) in the numerator and (y² + 2y – 3) in the denominator, and the other with (y² - y – 12) in the numerator and (y² - 2y + 1) in the denominator. We need to simplify these rational expressions.

Simplifying the first rational expression:
The numerator of the first expression, y² - 13y + 36, can be factored as (y – 4)(y – 9).
The denominator, y² + 2y – 3, can be factored as (y + 3)(y – 1).
Therefore, the first rational expression simplifies to (y – 4)(y – 9) / (y + 3)(y – 1).

Simplifying the second rational expression:
The numerator of the second expression, y² - y – 12, can be factored as (y – 4)(y + 3).
The denominator, y² - 2y + 1, can be factored as (y – 1)(y – 1) or (y – 1)².
Therefore, the second rational expression simplifies to (y – 4)(y + 3) / (y – 1)².

By factoring the numerator and denominator of each rational expression, we obtain the simplified forms:

First rational expression: (y – 4)(y – 9) / (y + 3)(y – 1)
Second rational expression: (y – 4)(y + 3) / (y – 1)²

These simplified expressions are in their simplest form, with no common factors in the numerator and denominator that can be further canceled.


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Answer:

3

Step-by-step explanation:

3x3x3x3 = 81

Answer:

3

Step-by-step explanation:

the factors of 81 are

81 = 9 × 9 = 3 × 3 × 3 × 3 ( that is 3 multiplied by itself 4 times ) , then

\(\sqrt[4]{81}\) = 3

Dominik used 7/8 cup of sugar for a bread recipe. he used 3/4 cup of sugar for a muffin recipe.

To find out how much sugar Dominik used in total for both recipes, we need to add the amounts of sugar he used in each recipe.

7/8 cup + 3/4 cup

To add these two fractions, we need to find a common denominator. In this case, the smallest common denominator is 8, which is the same as the denominator of the first fraction.

7/8 cup + 3/4 cup = (7/8) cup + (6/8) cup

Now we can add the two numerators

(7/8) cup + (6/8) cup = 13/8 cup
Hence, Dominik used 13/8 cups of sugar for both recipes combined.

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The point slope equation of the line that passes through (1, 0) and (6, -3) is y - (-3) = - 3 / 5 (x - 6)

The point slope equation can be represented as follows:

y - y₁ = m(x - x₁)

where

The line passes through (1, 0) and (6, -3).

Therefore, the point slope equation can be represented as follows:

m = y₂ - y₁ / x₂ - x₁

Hence,

m = -3 - 0 / 6 - 1

m = -3 / 5

m  = - 3 / 5

Using (6, -3) the point slope equation is y - (-3) = - 3 / 5 (x - 6)

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The test result suggests that networking is an effective strategy for finding a job after graduation, as the data indicate that most workers (more than 50%) secure their jobs through networking.

To test the claim that most workers get their jobs through networking, we can use a one-sample proportion hypothesis test.

Null hypothesis (H0): The proportion of workers who get their jobs through networking is equal to 0.50.

Alternative hypothesis (Ha): The proportion of workers who get their jobs through networking is greater than 0.50.

Using the given sample data and a significance level of 0.05, we can perform the hypothesis test.

Calculate the test statistic:

To calculate the test statistic, we can use the formula:

z = (p - P) / sqrt((P * (1 - P)) / n)

Where:

p is the sample proportion (61% or 0.61),

P is the hypothesized population proportion (0.50),

n is the sample size (703).

Substituting the values:

z = (0.61 - 0.50) / sqrt((0.50 * (1 - 0.50)) / 703)

z ≈ 4.69

Determine the critical value:

Since the alternative hypothesis is one-tailed (greater than 0.50), we need to find the critical value for a one-tailed test with a significance level of 0.05. Consulting the standard normal distribution table or using a statistical software, the critical value for a significance level of 0.05 is approximately 1.645.

Compare the test statistic with the critical value:

The test statistic (z = 4.69) is greater than the critical value (1.645).

Make a decision:

Since the test statistic is in the critical region, we reject the null hypothesis. This means that there is evidence to support the claim that most workers (more than 50%) get their jobs through networking.

Interpretation:

The result suggests that networking is an effective strategy for finding a job after graduation, as the data indicate that a majority of workers secure their jobs through networking. It implies that job seekers should focus on building and leveraging professional networks to enhance their job prospects.

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1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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The number of different values obtained by inserting parentheses into the expression "5-1-1-1-1-1" is 10.

To find out the number of different values that can be obtained by inserting parentheses into the given expression, we can use a counting technique called Catalan numbers.

The expression 5−1−1−1−1−1 has 5 subtraction operations. To insert parentheses, we can choose any two subtraction operations and group the terms between them. Therefore, the number of different ways to insert parentheses is equal to the number of ways to choose 2 positions out of the 5 positions for the subtraction operations.

This can be calculated using the formula for combinations: nCk = n! / (k!(n-k)!), where n is the total number of positions and k is the number of positions to choose.

In this case, n = 5 and k = 2. Plugging in the values, we have:

5C2 = 5! / (2!(5-2)!) = 5! / (2!3!) = (5*4*3*2*1) / ((2*1)(3*2*1)) = 10

Therefore, there are 10 different values that can be obtained by inserting parentheses into the given expression.

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Answer: 4,84,920

Step-by-step explanation:

Given

The rent per month is 1347

for a year it is 12 months

for 30 years it is \(30\times 12=360\ \text{months}\)

Rent for 30 years it is

\(\Rightarrow \text{rent}=1347\times 360=484,920\)

Transforming the equation into a quadratic equation, we have:

Here is the answer :

people who like both the songs is 35 and

people who like only folk songs is 100.

Answer:

b = √(c² + a²)

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Given the equivalent ratios:

4:12 and 11:x

To get an equivalent ratio, the denominator and numerator of one ratio is multiplied or divided by the same non zero number.

To find the value of x, we have:

The value of x = 33

ANSWER:

33