X
-1
0
1
2
3
y
1
10
1252
25
2
125
2
52:41
What is the rate of change of the function described in
the table?
ㅇ12/5
O5
ㅇ25/2
○ 25

Answer:

Step-by-step explanation:

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

Answer: 1/32 pounds

Step-by-step explanation:

1/4 divided by 8 = 1/32

Answer:

1/32

Explanation:

1/4 / 8 = 1/32

The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.

The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).

Now, multiplying both sides by dx we,

\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).

Dividing both sides by \(2^{\sqrt{x}}\) we have,

\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).

\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

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Answer:

896

Step-by-step explanation:

1. find 12% (because the time is 2 years) of 800 (94)

2. 96 + 800 = 896

3. answer is 896

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

The answer would be B a≈9.22

Answer: The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

Step-by-step explanation: We know,

Area of the square = p^2 where p is the side of the square.

The perimeter of the square = 4p cm where p is the side of the square.

thus, The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

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Answer:

6x

Step-by-step explanation:

Area of triangle = l x w => 2x x 3x = 6x

Answer:

0.44

Step-by-step explanation:

Given the estimated logistic regression model on risk of having squamous cell carcinoma

-4.84 + 4.6*(SMOKER)

SMOKER = 0 (non-smoker) ; 1 (SMOKER)

What is the predicted probability of a smoker having squamous cell carcinoma?

exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))

SMOKER = 1

exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)

exp^(-0.24) / (1 + exp^(-0.24))

0.7866278 / 1.7866278

= 0.4402863

= 0.44

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:

Step-by-step explanation:

Problem 8-21 (Algorithmic)

Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:

Rental Class

Answer:

Explanation:

The nth term of a geometric sequence is expressed as;

If the second term is 4;

If the third term is -12, hence;

Solve equation 1 and 2 simultaneously for a and r

Divide both expressions

Get the first term;

Substitute r = -3 into 1;

Frm 1;

Get the explicit expression;

This gives the required answer

Answer:

0.83*10^7

Step-by-step explanation:

Mark as brainliest please

Answer:

Slope = \(\frac{1}{2}\)

Step-by-step explanation:

Let's take two points on the line graphed for a function.

Slope of this linear function = \(\frac{\text{Rise}}{\text{Run}}\)

Between two points chosen,

Rise = Vertical distance on y-axis (Increase or decrease) from one point to the second

Run = Horizontal distance on x-axis from one point to second

Let the points on the graph are (-8, 0) and (0, 4).

Rise = 4

Run = 8

Therefore, slope of the line = \(\frac{\text{Rise}}{\text{Run}}\) = \(\frac{4}{8}\)

Slope = \(\frac{1}{2}\)

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

About 47% of books were nonfiction.

The actual percentage includes decimals and it would be this:

%47.0588235294

Answer:

.92

Step-by-step explanation:

Answer:

0.47?

Step-by-step explanation:

Answer:

-10 and -2

Step-by-step explanation:

First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!

4 | x + 6 | = 16

Divide both sides by 4.

\(\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }\)

\(\bf{|x+6|=4 }\)

Absolute value is solved.

\(\bf{|x+6|=4 }\)

We know either x + 6 = 4 or x + 6 = -4.

x + 6 = 4 (Possibility 1)

x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)

x=−2

x + 6 = -4 (Possibility 2)

x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)

x=-10

Solution:

x=−2 or x=−10

\(\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)

Answer:

h) (x+4t²)/4= 3V

x+4t²= 4*3V

x+4t²=12V

x=12V-4t²

MN=√(3x-2)

(MN)²=3x-2

3x-2=(MN)²

3x=(MN)²+2

x= [(MN)²+2]/3

Answer:

The Pythagorean Triplet that has 5 is 3-4-5

Step-by-step explanation:

We can prove this using Pythagorean Theorem: a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The mean and median of the given data is 84 and 84, in order to have 85% as average, Alyssa should score 89 marks and we cannot say anything about how the median is affected.

Part A: Finding the mean of the data,

Mean = (74 + 86 + 94 + 82) / 4 = 336 / 4 = 84

Therefore, the mean score is 84. To find the median, we first need to put the scores in order from smallest to largest, 74, 82, 86, 94. Since we have an even number of scores, the median is the average of the two middle scores. In this case, the two middle scores are 82 and 86, so we take their average,

Median = (82 + 86) / 2 = 168 / 2 = 84

Therefore, the median score is 84.

Part B: Let x be the score Alyssa needs to earn on her fifth test. To find the score she needs to maintain an 85% average, we can set up the following equation,

(74 + 86 + 94 + 82 + x) / 5 = 85

Multiplying both sides by 5, we get,

74 + 86 + 94 + 82 + x = 425

Adding up the first four scores, we get,

74 + 86 + 94 + 82 = 336

Substituting in equation,

336 + x = 425

Subtracting 336 from both sides, we get,

x = 89

Therefore, Alyssa needs to earn at least an 89 on her fifth test to maintain an 85% average.

Part C: The median is the middle score when the data is arranged in order. Since the fifth test score has not yet been added, the median is still 84. So, we cannot really say anything about the median.

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Consider the relation,

Let 'x' be the speed of jet in still air, and 'y' be the rate of the wind flow.

When flying against the wind, the net speed of the jet will be (x-y) mph.

Given that the jet takes 8 hours to travel 8320 miles against the wind,

When flying with the wind, the net speed of the jet becomes (x+y) mph.

Given that the jet takes 9 hours to travel 11700 miles along the wind,

Add the equations (1) and (2) as follows,

Substitute this value in equation (1) to obtain the other variable,

So the solution to the pair of equations is,

Thus, the rate of jet in still air is 1170 mph, and the rate of the wind is 130 mph.

Complete Question:

Annette and Rose went to an orchard to pick pears. Annette picked \(8\frac{1}{6}\)

pounds of pears and Rose picked\(6\frac{1}{8}\) pounds. How much more did Annette pick than Rose? Write your answer as a reduced mixed number.

Answer:

Annette picked \(2\frac{1}{24}\) pounds of pears more than Rose

Step-by-step explanation:

Pounds of pears picked by Annette = \(8\frac{1}{6}\)

Pounds of pears picked by Rose =  \(6\frac{1}{8}\)

To get the difference in the pounds of pears picked by Annette and Rose, we will do a simple subtraction:

Difference in the pounds of pears picked = \(8\frac{1}{6} - 6\frac{1}{8}\)

\(= 2(\frac{1}{6} - \frac{1}{8})\\= 2\frac{4 - 3}{24} \\= 2\frac{1}{24}\)

The unit rate that represents the speed of Joey's golf cart is given as follows:

20 miles per hour.

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the velocity is obtained as follows:

v = 40/2

v = 20 miles per hour.

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Answer:

Well you see Is this GCSE

Answer:

3

Step-by-step explanation:

5-2=3 ¯\(◉‿◉)/¯

hope it may help you

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¯

Answer:

Mean: 60

Step-by-step explanation:

First of all, in order to find the mean, one must add all the numbers together (61,55,66,58,50,70), which would give a total of 360.

After that, divide that total by the quantity of numbers (in other words, the total number of numbers, which in this case is 6). So, you would have to divide 360 by 6 leading to an answer of 60(the mean, which in other words is like finding the average).

The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

An equation is an expression that shows the relationship between two or more variables and numbers.

The greatest common factor is the highest number that all the numbers share.

The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

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