I'm stuck on this question and this is my third Time posting about it pls help me look at pic​

Answer:

Deena

Step-by-step explanation:

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

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A model that could model the probability of a student participating is a model in which 3 out of 4 outcomes represent a success.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The participation rate in this problem is of 75%, which represents the probability of a success, hence we want to model an experiment in which 3 out of 4 outcomes represent a success.

One possible example is using numbers from 1 to 4, in which:

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The final volume is 0.1296  \(m^{3}\)

Let the length of the box, l = x

Therefore, according to the question, width, w = length/2 = x/2.

Height, h = 0.5 m (given in the question)

First, we have to calculate the area of the sides.

There are 6 sides in a cuboid (given that base is a rectangle)

Therefore,

Area, A = lw + wh + lh + lw + wh + lh = 2(lw + wh + lh)

Calculating,

A = 2(\(0.5x^{2}\) + 0.25x + 0.5x) = \(x^{2}\) + 1.5x

Given, Area of the 6 sides - Area of the base = 1.08m

 \(x^{2}\) + 1.5x - \(x^{2}\) = 1.08

1.5x = 1.08

x = 0.72

Therefore,

Volume = lwh = 0.5 * 0.72 * 0.72/2 = 0.1296 \(m^{3}\)

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The answer is A. 1 1/4. The way to figure it out it to add the 1/4 to the 3/4 that is one cup and then you have 1/4 leftover.

Hope this helps :)

Step-by-step explanation:

5. Let the equation of the line be y = mx + c

m = (6-15)/(2-(-1)) = -3

sub (2, 6) and m = -3:

6 = -3(2) + c

c = 12

Equation of the line: y = -3x + 12

6. Let the equation of the line be y = mx + c

y-intercept of 7 means c = 7

y = mx + 7

x-intercept: value of x when y = 0

therefore, sub (4, 0):

0 = m(4) + 7

m = -7/4

Equation of the line: y = -7/4x + 7

this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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The given expression is equivalent to the expression (B) \((x-1)^{2} -3\).

To complete the square to transform the expression:

Therefore, the given expression is equivalent to the expression (B) \((x-1)^{2} -3\).

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The correct question is shown below:

Complete the square to transform the expression x^2− 2x − 2 into the form a(x − h)^2+ k.

(A) (x − 1)2 + 3

(B) (x − 1)2 − 3

(C) (x − 2)2 − 3

(D) (x − 2)2 + 3

Answer:

5+1.10

Step-by-step explanation:

Answer:

26 ft.2

Step-by-step explanation

Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.

Hope this helps. :)

Answer:

the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.

Step-by-step explanation:

your welcome

The acceleration of the car, which comes to a complete stop, is -0.42857 m/s².

The acceleration of the car can be found using the formula:

acceleration = (final velocity - initial velocity) / time.

In this case, the final velocity is 0 m/s, the initial velocity is 15 m/s, and the time is 35 seconds. Plugging these values into the formula gives:

acceleration = (0 - 15) / 35

acceleration = -15 / 35

acceleration = -0.42857 m/s²

Therefore, the car's acceleration is -0.42857 m/s². This means that the car is negatively accelerating, or decelerating, at a rate of 0.42857 m/s².´

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Answer:

285 $

Step-by-step explanation:

350 * \(0.95^4\)

0.95 if the amount of money is going down if the amount of money is going up it will be 350 * 1.05^4

If it is decreasing subtract 5% from 100% and if its increasing add 5% to 100%.

Answer:

I around up: the anwer I  got was 425.43

Step-by-step explanation:

a. y^ Estimated y-intercept: This refers to the value of y when x is equal to zero. In this case, the estimated y-intercept is 188.

b. -126 Estimated slope: This refers to the coefficient of x in the regression equation, which indicates the change in y for each unit increase in x. In this case, the estimated slope is -126.

c. xβ1: This refers to the independent variable (x) multiplied by its coefficient (β1), which is the estimated slope.

d. y^ Estimated value of the dependent variable: This refers to the predicted value of y based on the regression equation and a given value of x.

e. β0: This refers to the coefficient of the intercept term in the regression equation, which represents the value of y when x is equal to zero. In this case, the estimated value of β0 is 188, which is the estimated y-intercept.

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Answer:

50°

Step-by-step explanation:

angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°

Answer:

y - 5 = -3/2 (x + 2)

Step-by-step explanation:

Point-slope formula is short cut, fill-in-the-blank formula to write an equation of a line. If you know a point and the slope, you just fill them in, and voila! you have the equation.

The point is (X, Y) and the slope is m.

We will fill in (-2,5) for the (X,Y)...that is, -2 for X and 5 for Y. And then fill in -3/2 for m.

Here's the Point-slope equation:

y - Y = m(x - X)

y - 5 = -3/2 (x- -2)

Simplify the "minus a negative"

y - 5 = -3/2 (x + 2)

Make sure the parenthesis on the right is beside the whole fraction -3/2 and not on the bottom of the fraction.

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}\)

Step-by-step explanation:

Given,

Length of a rectangle ( l ) = 6x - 2

Width of a rectangle ( w ) = x - 1

Perimeter of a rectangle ( P ) = ?

Finding the expressions that represents the perimeter of the rectangle

\( \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}\)

⇒\( \sf{2(6x - 2 + x - 1)}\)

Collect like terms

⇒\( \sf{2(7x - 2 - 1)}\)

Calculate

⇒\( \sf{2(7x - 3)}\)

Distribute 2 through the parentheses

⇒\( \sf{14x - 6}\)

Hope I helped!

Best regards!!

To show that f(x) = x^4 + 9x^3 + 4x + 7 is o(g(x)) as x approaches infinity, where g(x) = x^4, we need to demonstrate that the limit of f(x)/g(x) is 0 as x approaches infinity.

Let's calculate the limit:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [(x^4 + 9x^3 + 4x + 7)/x^4]

= lim(x→∞) [1 + (9/x) + (4/x^3) + (7/x^4)]

As x approaches infinity, the terms (9/x), (4/x^3), and (7/x^4) all tend to 0. Therefore, we have:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [1 + 0 + 0 + 0]

= 1

Since the limit is not equal to 0, we can conclude that f(x) = x^4 + 9x^3 + 4x + 7 is not o(x^4) as x approaches infinity.

In other words, f(x) grows at the same rate or faster than x^4 as x becomes large.

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Step-by-step explanation:

=0.2(2b-15c)

=0.4b-3c

hope it helps.

Answer:

Step-by-step explanation:

The answer is B.

The correct way of devising a yearly savings plan to pay for college education makes the most sense is,

''Estimate the total cost and divide that by the number of years until you go to college.''

Option B is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

To find the way of devising a yearly savings plan to pay for your college education makes the most sense.

Hence, We know that;

The correct way of devising a yearly savings plan to pay for college education makes the most sense is,

Estimate the total cost you have and divide that by the number of years for college time until you go to college.

Thus, correct way of devising a yearly savings plan to pay for college education makes the most sense is,

''Estimate the total cost and divide that by the number of years until you go to college.

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There is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To find the standardized test statistic (Z-score), we need to first calculate the sample mean and standard error of the mean.

Sample mean:

x = (17.8 + 21.1 + 19.7 + 9.5 + 18.5 + 13.2 + 13.6 + 10.7 + 19.1 + 7.5 + 11.3 + 7.6 + 21.8 + 9.2 + 21.6 + 9.8 + 19.3 + 21.9 + 22.6 + 15.5 + 12.4 + 9.5 + 14.9 + 7.7 + 12.9 + 17.6 + 14.1 + 19.4 + 17.1 + 17.3 + 15.4 + 22.5) / 32

x = 15.91875

Standard error of the mean:

SE = σ /√(n)

SE = 6.1 / √(32)

SE = 1.0823

Now we can calculate the Z-score:

Z = (x - μ) / SE

Z = (15.91875 - 13) / 1.0823

Z = 2.5707

we can find that the p-value associated with a Z-score of 2.5707 is approximately 0.0051.

Since the significance level (α) is 0.06, which is larger than the p-value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

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Answer:

Question 1

Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8

Question 2

Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3

Step-by-step explanation:

Question 1

The ordered pair is (2, -3); therefore x = 2, y = -3

Plug these values into the left and right side of each inequality and see if these values satisfy the inequality

For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3

Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >

For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4

Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative  numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)

Question 2

Given ordered pair is (0,4)

For y ≤ -x + 4

LHS = 4, RHS = -0 + 4 = 4

Is 4 ≤ 4? YES

For y ≥ 5x -3

LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3

Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers

Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

The answer of the given multiplication is, 30.935.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of x and is cdot, while the product of x and is 30.

Consider, the product

          1  1.  5

   x     2.  6  9

__________________

           1  0  3  5

+         6  9  0  0

+      2  3  0  0  0

____________________

       3  0  9  3  5

There is one after after decimal point in 11.5, and there are two digits after decimal point in 2.69

So, there are total three digits after decimal point.

Therefore, we place the decimal after 0.

Hence, the multiplication of given numbers is, 30.935

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To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

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a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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