Ellen's classes are 55 minutes each with 10-minute passing periods. If she has 4 classes before
lunch break, and there is no passing period before first period or immediately before lunch,
approximately how many hours before lunch do her classes start?
(10 Points)

The (+2) and (-8) in y = (x + 2)² - 8 shift the graph up two units and down eight units, respectively.

It is called quadratic because the highest degree of the equation is two. This type of equation is used to calculate the roots of a polynomial, which are the values of x where the equation equals 0.

The (+2) in y = (x + 2)² - 8 shifts the graph up two units on the y-axis.

This is because the addition of two to x before squaring it creates a quadratic equation which will create a graph which is two units higher than the graph created by the original equation.

The (-8) in y = (x + 2)² - 8 shifts the graph down eight units on the y-axis. This is because subtracting 8 from the squared term creates a graph which is eight units lower than the graph created by the original equation.

Therefore, the (+2) and (-8) in y = (x + 2)² - 8 shift the graph up two units and down eight units, respectively.

This creates a graph which is six units lower than the graph created by the original equation.

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Answer:

hope this help

Step-by-step explanation:

here is the answer

After analyzing the process capability ratio (cp), the given statement is True.

A statistical measurement of the inherent process variability of a particular attribute is referred to as process capacity. A process's capacity to satisfy requirements can be evaluated via a process-capability study. Process performance indexes or process capability indices are two ways to indicate a process's capacity to operate according to the specification.

Cp= Process Capability. A simple and straightforward indicator of process capability.

Cpk= Process Capability Index. Adjustment of Cp for the effect of non-centered distribution.

Pp= Process Performance. A simple and straightforward indicator of process performance.

Ppk= Process Performance Index. Adjustment of Pp for the effect of non-centered distribution.

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Answer:

Distance between foot of ladder and wall = 5.92 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 15.2 meter

Length of wall = 14 meter

Find:

Distance between foot of ladder and wall

Computation:

Length of ladder = Hypotenuse

Length of wall = Perpendicular

Distance between foot of ladder and wall = Base

Using Pythagoras theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between foot of ladder and wall = √Length of ladder² - Length of wall²

Distance between foot of ladder and wall = √15.2² - 14²

Distance between foot of ladder and wall = √231.04 - 196

Distance between foot of ladder and wall = √35.04

Distance between foot of ladder and wall = 5.9194

Distance between foot of ladder and wall = 5.92 meter (Approx.)

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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The formula to calculate the expected loss is given by the following formula: Expected Loss = Σ (Loss Amount * Probability of Loss)To calculate the expected loss, we need to first multiply the loss amount with the probability of loss, and then add the products.

a. $0 .30Loss amount, X = $0Probability of loss, P(X) = 0.30Expected loss = 0 * 0.3 = $0b. $120 .50Loss amount, X = $120Probability of loss, P(X) = 0.50Expected loss = 120 * 0.5 = $60c. $200 .20Loss amount, X = $200Probability of loss, P(X) = 0.20Expected loss = 200 * 0.2 = $40, the expected loss for the given probabilities of various losses is $0 for a), $60 for b) and $40 for c). The total expected loss would be the sum of all expected losses i.e. $100.

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Answer:

989cm

Step-by-step explanation:

103, 131, 149, 111

Bottom length = 103 + 149 = 253

Left height = 131 + 111 = 242

103 + 131 + 149 + 111 + 253 + 242 = 989

Answer:

The awnser is C. 4 hours

Step-by-step explanation:

It takes her 2 hours two walk 1 mile so 2*2 is 4

Answer:

Step-by-step explanation:

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Answer:

Step-by-step explanation:

a decimal

2/3 = 0.7

8/5 = 1.6

-5/2 = -2.5

7/4 = 1.8

9/2 =  4.5

-11/3 = -3.7

13/5 = 2.6

-7/4 = -1.8

Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.

-  ________________________________________________________ +

  |    |     |      |     |       |      |       |     |     |     |    |       |     |     |      |     |     |       |            

-5  -4 -3.7  -3 -2.5  -2  -1.8   -1    0  0.7  1   1.6  1.8  2   2.6   3   4   4.5   5

trapezoid is moved through the

translation (x+3, y-2)

So we add 3 to x and then subtrack -2 to y

The present value of this investment project is $72,500. This can be solved by the concept of Compound interest.

The perpetual cash flow of $4,350 per year can be considered as an annuity perpetuity, where the cash flow is constant forever. To calculate the present value of this perpetuity, we can use the formula:

Present Value = Annual Cash Flow / Discount Rate

Here, the annual cash flow is $4,350, and the discount rate is the interest rate of 6%. Thus, we can calculate the present value as:

Present Value = $4,350 / 0.06

Present Value = $72,500

Therefore, to participate in this investment project, you would need to pay $72,500 today to receive $4,350 per year forever, starting from one year from now

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say Steve is x ,then jenny will be x + 12

five years ago Steve's age was x - 5 and Jenny's age was x + 12 - 5= x + 7

since jenny was four times Steve's age 5 years ago the equation will be

x + 7 = 4(x - 5)

= x + 7 = 4x - 20

putting like terms together, we will have

4x - x = 20 + 7

= 3x = 27

this means 3x ÷ 3= 27 ÷ 3

x = 9

this means Steve is 9 years old and Jenny is 21 years old

The height of the cone in discuss as required to be determined is; 16.38 cm.

Since the height of the cone is three times the length of the diameter of its base;

h = 3d;

d = h/3

Therefore, radius,

r = d/2

r = h/3 ÷ 2

multiply by the reciprocal of 2

r = h/3 × 1/2

r = h / 6.

Volume of a cone, V = (1/3) πr²h

128 = (1/3) × (22/7) × (h³/36)

h³ = 4398.55

h = 16.38 cm.

Ultimately, the height of the cone is; 16.38 cm.

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The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Therefore, The sequence diverges, as the limit of the sequence as n approaches infinity is infinity. In summary, the sequence an = 6^n / (1 + 7n) diverges.

To determine whether the given sequence converges or diverges, we will examine the limit of the sequence as n approaches infinity. The sequence is an = 6^n / (1 + 7n).

Step 1: Find the limit as n approaches infinity.
lim (n → ∞) (6^n / (1 + 7n))
Step 2: Divide both the numerator and denominator by the highest power of n (n^1 in this case).
lim (n → ∞) ((6^n / n) / (1/n + 7))
Step 3: Apply the limit to each part.
lim (n → ∞) (6^n / n) = ∞
lim (n → ∞) (1/n) = 0
Step 4: Evaluate the limit.
lim (n → ∞) (6^n / (1 + 7n)) = ∞ / (0 + 7) = ∞

Therefore, The sequence diverges, as the limit of the sequence as n approaches infinity is infinity. In summary, the sequence an = 6^n / (1 + 7n) diverges.

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Answer:

x² - 49

Step-by-step explanation:

(x - 7)² =

(x - 7) * (x - 7) =

x * x - 7 * 7 =

x² - 49

Answer:

20, 70

Step-by-step explanation:

9x=90

x=10

angles are 20 and 70

please mark as brainliest

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

$59.33

Step-by-step explanation:

To begin, let's start with what we know

Item = 69.80

Discount = 15% or 0.15

So, let's put it into this formula

New Price = Item ( 1 - Discount)              Note: P is the final price

                 = 69.80 ( 1 - 0.15)

                 = 69.80 ( 0.85 )

                 = 59.33

The new price is $59.33.

If you have any questions, please let me know in the comments. If you could mark this answer as the brainliest, I would greatly appreciate it!

Answer:

$59.33

Step-by-step explanation:

To find the new price, we need to know what is 15% of 69.80, and then subtract the result from 69.80. To find the percent, we multiply the number by the percent using decimals for the percent. 15% is 0.15, so we multiply 69.80 * 0.15 = 10.47

Next, subtract 10.47 from 69.80.

69.80 - 10.47 = 59.33

The new price is 59.33.

Another method is that since 69.80 is 100 percent, then the new price will be 100% - 15% = 85%. Multiply the 85 percent by 69.80, and find your answer.

0.85 * 69.80 = 59.33

Hope this helps.

The inequality 0 < x < 5 describes the region between the yz plane and the vertical plane x = 5.

To find the region between the yz plane and the vertical plane x = 5. we know that x can have only value x = 5, based on plane x = 5. The plane yz does not say anything about the values of y and z, thus they can take any value. But, yz plane implies that x = 0.

Therefore the region between plane yz and x = 5 is described by inequality, 0 < x <5.

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The complete question is given below:

Write inequalities to describe the region between the yz-plane and the vertical plane x = 5.

Answer:

16 years old

Step-by-step explanation:

12 months is equivalent to a year, therefore, you add one year to fifteen and get sixteen.

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

Answer:

7

Step-by-step explanation:

slope = rise/run = (difference in y)/(difference in x)

First, we find a difference in y.

Subtract any two values of y.

For example: 35 - 14 = 21

Now we find the corresponding difference in x.

Now subtract the x values corresponding to those y values in the same order.

-1 in x corresponds to 35 in y.

-4 in x corresponds to 14 in y.

That means your difference in x is the subtraction -1 - (-4) = -1 + 4 = 3

The difference in y is 21.

The difference in x is 3.

slope = (difference in y)/(difference in x) = 21/3 = 7

Answer: 7

We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.

Hypothesis testing is a statistical method used to determine whether a hypothesis about a population parameter is supported by the data. In this case, the hypothesis is that the proportion of students being bullied at school has decreased.

The one-sample proportion test is a type of hypothesis test used to determine whether a proportion in a sample is significantly different from a known population proportion.

In this case, we are testing whether the proportion of students who reported being bullied in the sample of 75 sixth grade students is significantly different from the population proportion of 43%.

To test whether the proportion of students being bullied at school has decreased, we can use a hypothesis test with the null hypothesis that the proportion is still 0.43 and the alternative hypothesis that the proportion is less than 0.43.

Let p be the true proportion of students being bullied at school, then we have:

H₀ : p = 0.43

Hₐ : p < 0.43 (one-tailed test)

Using the sample data, we can calculate the sample proportion of students who reported being bullied at school:

=> \(\hat{p}\) = 30/75 = 0.4

We can use this to calculate the test statistic:

=> z = ( \(\hat{p}\)  - p) / √(p×(1 - p)/n) = (0.4 - 0.43) /√(0.43×0.57/75) = -0.81

At the 5% level of significance with a one-tailed test, the critical z-value is -1.645. Since our calculated test statistic (-0.81) is greater than the critical value, we fail to reject the null hypothesis.

Therefore,

We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.

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Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation: