If dy/ dx = y², then all line segments comprising the slope field will hae a non-negative slope. true or false

Answer:lxl

Step-by-step explanation:

Answer:

2.75 miles

Step-by-step explanation:

11 ÷ 4 = 2.75

Answer:

11=4x

11/4 = x

He walked 2.75 miles in one hour.

2.75 miles in feet is 14,520

The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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Answer:

Use elimination, x = 6, y = 59

Step-by-step explanation:

1) Multiply Equation 1 by 2

E1: 4x +10y = 614

E2: 6x+10y = 626

2) Subtract E2 from E1

-2x = -12

x = 6

3) Substitute x = 6 into one of the equations (I used the original Equation 1)

2(6) +5y = 307

12+ 5y = 307

5y = 295

y = 59

A van can carry 6 students, and a bus can carry 59 students.

(a) First step of implicit differentiation:
-0.82dP/dt = dq/dt
The equation that results from differentiating each side of the equation with respect to P is:
-0.82 - 0.82P(d^2q/dP^2) = (dQ/dP)(dP/dt)/(dq/dt)
To find the elasticity of demand, we need to use the formula:
E = (dQ/Q)/(dP/P)
We can rewrite this as:
E = (dQ/dP) * (P/Q)
We know that dQ/dP = -0.82P(d^2q/dP^2), so we substitute that into the formula:
E = (-0.82P(d^2q/dP^2)) * (P/q)
Simplifying this expression, we get:
E = -0.82P^2(d^2q/dP^2)/q

(b)  We can solve the original equation for q by dividing both sides by -0.82:
q = (-1/0.82)P + D
Taking the derivative of q with respect to P, we get:
dq/dP = -1/0.82
We can use this result to calculate the elasticity of demand using the formula:
E = (dQ/dP) * (P/Q)
Substituting the values we found, we get:
E = (-1/0.82) * (P/((-1/0.82)P + D))
Simplifying this expression, we get:
E = -1/(P/((-1/0.82)P + D))
E = -1/((D/P) - 1.22)

(a) Interpretation: The elasticity of demand is a measure of how much the quantity demanded changes in response to a change in price. If E > 1, demand is considered elastic, meaning that a small change in price will result in a large change in quantity demanded. If E < 1, demand is considered inelastic, meaning that a change in price will result in a small change in quantity demanded. If E = 1, demand is unit elastic, meaning that a change in price will result in an equal proportional change in quantity demanded.
(b) Interpretation: The elasticity of demand in this case depends on the values of D and P. If D is relatively small compared to P, then the elasticity of demand will be close to -1.22, which is the upper limit of the elasticity. If D is relatively large compared to P, then the elasticity of demand will be close to zero, which means that demand is very inelastic.

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No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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The number of papers left with harper after working 10 hours aew 8.

In this question,Harper is a teacher and takes home 88 papers to grade over the weekend. She can grade at a rate of 8 papers per hour.

In 1 hour harper use = 8 papers

In 10 hours she will use = 10(8) = 80 papers.

And initially, harper has 88 papers, then

Remaining papers = 88-80 = 8

Thus, there are 8 papers left with harper after working 10 hours.

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Answer: the answer is 2/3. Hope this helps :)

Answer:

10

Step-by-step explanation:

5 * 9 = 45

45 is the sum of all the ages added up

45 - (5 + 7 + 8 + 15) = 10

The weighted average of coordinate 3 which  has a weight of 2, and the coordinate

8 which has a weight of 3 is 6.

We have been given the coordinates with their specific weights. Thus we will find the weighted average.

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set. The formula to find the weighted average is given by

                               W = Σwixi/Σwi     (1)

Where,   xi = are the variable

                wi = are specific weights for the variable

First we will find ,    Σwixi = w1x1 + w2x2

    Here w1 = 3   ,          x1 = 2

              w2 = 8,            x2 = 3

Putting these values we get,

                     Σwixi = 3*2 + 8*3

                               = 6 + 24

                               = 30

Also, Σwi = w1 + w2

                = 2 + 3

                = 5

Putting the required values in equation (1) we get,

W = 30/5

W = 6

Thus, the weighted average is 6

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Answer:

2/3 x -2 1/4 = -1.5

1.5 x 1 1/2 = 2.25

Answer:

9/4

Step-by-step explanation:

2/3 × -2 1/4 - 1 1/2

=2/3 × -9/4 × -3/2

=9/4

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To construct a confidence interval for the mean number of books people read, we can use the formula:

CI = x ± z*(s/√n)

Where:

x is the sample mean of the number of books read in the past year

s is the sample standard deviation of the number of books read in the past year

n is the sample size

z is the z-score for the desired confidence level (95% in this case)

Plugging in the values we have:

x = 10.5

s = 16.6

n = 1018

z = 1.96 (from the standard normal distribution table for a 95% confidence level)

CI = 10.5 ± 1.96*(16.6/√1018)

CI = 10.5 ± 0.98

CI = [9.52, 11.48]

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books. This means that if we were to repeat the survey many times, 95% of the intervals we construct would contain the true mean number of books read.

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Answer:

1 : 3

2 : 6

4 : 12

9 : 27

Step-by-step explanation:

2nd one do 2 × 3

3rd one 12 ÷ 3

4th one 9 × 3

a) The expression for the magnitude of the electric field in the upper right corner becomes:

E = |E_total| = |E_A + E_B + E_C|

b) The expression for the magnitude of the total electric force becomes:

F = |F_total| = |F_A + F_B + F_C|

To determine the expression for the magnitude of the electric field in the upper right corner of the square (at the location of q), we need to calculate the electric field contributions from each of the charges A, B, and C at that point and then sum them up.

(a) The electric field due to charge A at the upper right corner:

E_A = (k_e * A * q) / (a^2)

The electric field due to charge B at the upper right corner:

E_B = (k_e * B * q) / (a^2)

The electric field due to charge C at the upper right corner:

E_C = (k_e * C * q) / (a^2)

The total electric field at the upper right corner is the vector sum of these individual electric fields:

E_total = E_A + E_B + E_C

Now, substituting A = 3, B = 5, and C = 6, the expression for the magnitude of the electric field in the upper right corner becomes:

E = |E_total| = |E_A + E_B + E_C|

To determine the direction angle of the electric field at this location (counterclockwise from the +x-axis), you need to consider the vector components of the electric field due to each charge and sum them up. However, without specific values for q, a, and ke, it's not possible to calculate the exact angle.

(b) The expression for the total electric force exerted on the charge q can be found using Coulomb's law. The force between two charges q1 and q2 separated by a distance r is given by:

F = (k_e * |q1 * q2|) / (r^2)

In this case, the force on charge q due to charge A is:

F_A = (k_e * |A * q * q|) / (a^2)

The force on charge q due to charge B is:

F_B = (k_e * |B * q * q|) / (a^2)

The force on charge q due to charge C is:

F_C = (k_e * |C * q * q|) / (a^2)

The total electric force on charge q is the vector sum of these individual forces:

F_total = F_A + F_B + F_C

Now, substituting A = 3, B = 5, and C = 6, the expression for the magnitude of the total electric force becomes:

F = |F_total| = |F_A + F_B + F_C|

Similarly to the electric field, without specific values for q, a, and ke, it's not possible to calculate the exact direction angle of the electric force on q (counterclockwise from the +x-axis).

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Answer:

1=-1

5=-6

1=-5

Step-by-step explanation:

hope that helped...

The slope-intercept form for the line passing through (6,5) and parallel to the line passing through (2,8) and (-8,4) is

y = (-1/3)x + 7.  The answer can be rounded to the nearest 100th, which gives us y = (2/5)x + 2.6 as an acceptable answer.

The slope-intercept form for the line passing through (6,5) and parallel to the line passing through (2,8) and (-8,4) is

y = (-1/3)x + 7.

Here's how to get it:

First, find the slope of the line passing through (2,8) and (-8,4).

The slope formula is:

m = (y2 - y1) / (x2 - x1)

Using (2,8) as (x1, y1) and (-8,4) as (x2, y2):

m = (4 - 8) / (-8 - 2)

= -4 / -10

= 2/5

Next, since we want a line parallel to this one, we know that the slope will be the same, so we can use m = 2/5 for our new line.

Now we just need to find the y-intercept b.

To do this, we can use the point (6,5) and substitute it into the slope-intercept form equation:

y = mx + b

5 = (2/5)(6) + b

5 = 12/5 + b

b = 5 - 12/5

b = 13/5

Finally, we can substitute our values for m and b into the slope-intercept form equation:

y = mx + b.

y = (2/5)x + 13/5

y = (2/5)x + 2.6

The answer can be rounded to the nearest 100th, which gives us y = (2/5)x + 2.6 as an acceptable answer.

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Answer:

A' (-1,2), B' (-5,-3), C' (3,2)

Step-by-step explanation:

Reflect triangle ABC across the y-axis.

Ry-axis: (x,y) → (-x,y)

A (1,2) → A' (-1,2)

B (5,-3) → B' (-5,-3)

C (-3,2) → C' (3,2)

I hope this helps :)

Answer:

this the season to be jolly falalalalaaaa la la la la

The student council’s expected profit as per given budget is equal to $25.

As given in the question,

Budget decided by the student council at Baker High School while planning a dance.

Total expenses on the items used for the dance

DJ fuze. : $250

Decorations.  : $125

Total expenses done by student council for dance

= $( 250 +125)

=$375

Total funds raised by dance performance is equal to

Dance tickets. $400

Total revenue =$400

Revenue >Expenses

Student council’s expected profit= $(400 -375)

                                                        = $25

Therefore, the student council’s expected profit as per given budget is equal to $25.

The complete question is:

The student council at Baker High School is planning a dance. The table shows their budget. What is the student council’s expected profit?

Funds raised:

Dance tickets : $400

Expenses:

DJ fuze. : $250

Decoration : $125

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Answer: 110/290

Step-by-step explanation:

USE A PROTRACTOR

Answer:

\(5y - 23 + 7y + 5 = 90 \\ 12y - 18 = 90 \\ 12y = 108 \\ y = 9\)

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

Answer:

3

Step-by-step explanation:

45*64=2880

48*60=2880

Answer:

2mx-x+2018

Step-by-step explanation:

multiply each term in the parentheses by x

The value of k that ensures the function f(x) is continuous at every point, we need to determine the value of k that makes the two function expressions match at the point x = -5. The given options are k = 14, k = 4, k = -7, and k = 7.

1) To ensure continuity at x = -5, we need the two function expressions to yield the same value at that point. Set up an equation by equating the two expressions of f(x) and solve for k.

2) Substitute x = -5 into both expressions of f(x) and equate them. This gives us (3(-5) + 8) = (k(-5) + 7). Simplify and solve the equation for k. The solution will indicate the value of k that ensures continuity at every point.

By solving the equation, we find that k = 4. Therefore, the correct option is OB) k = 4, which guarantees the function f(x) to be continuous at every point.

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Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

The algebraic expression that represents the total cost of signing the lease is as follows:

Total cost = r(2) + r(1) + D + C + r(12) * 0.07

Explanation: Given that Larry is renting an apartment that will cost r dollars per month. He must pay a D dollars application fee and C dollars for a credit application. His security deposit is two months rent and he must also pay the last month's rent upon signing the lease. His broker charges 7% of the total year’s rent as the fee for finding the apartment. Larry must pay the first month's rent and the last month's rent upon signing the lease. Therefore, the total cost of signing the lease will be:

r(2) + r(1) + D + C + r(12) * 0.07

r(2) represents the security deposit of two months rent, r(1) represents the last month's rent that he must pay upon signing the lease, and r(12) represents the yearly rent payable.

r(12) * 0.07 is the broker's fee for finding the apartment.

Conclusion: The algebraic expression that represents the total cost of signing the lease is as follows:

Total cost = r(2) + r(1) + D + C + r(12) * 0.07

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The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:

v1 = √(2gh)

where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.

For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:

v1 = √(2 * 9.81 * 6)

v1 = 13.4 m/s

Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

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Complete question:

How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?

Answer:

Step-by-step explanation:

\(5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}\)

Answer:

31/6 (improper fraction).

Step-by-step explanation:

5 1/6 = (6 × 5) + 1/6 = 31/6

31/6 is the improper fraction.

The exponent \(3^{21}\) is 9 times greater than the exponent \(3^{19}\)

What are Exponents?

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Solution:

To solve this type of question all we need to know are the Rules of Exponents with their help any question of this type can be solved

Since we are required to find the number of times the value os greater so we will divide the numbers

3^21 / 3^19

By rule of exponents if a^b/a^c then we can write it as a^(b-c)

Similarly 3^21 / 3^19 = 3^(21 - 19) = 3^2 = 9

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For the following function, we have that:

In a graph:

Hence, for the graph in this problem, we have that:

Hence:

We have to look at the values of y on the interval, hence:

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