1. A brick driveway has 50 rows of bricks. The first row has 16 bricks, and the fiftieth row has 65 bricks. How many bricks does the driveway contain?

Answer: 2length plus 2breath circle is 2pie r

Step-by-step explanation:

perimeter of a rectangle is 2L + 2 B a

To determine under what conditions Chris would choose not to buy any Red Bulls, further information or constraints are needed. The marginal utility per dollar spent can be calculated for each item, providing insights into their relative importance in maximizing utility.

To determine under what conditions Chris would choose not to buy any Red Bulls, we need additional information such as the price of Red Bulls and Chris's preferences and budget constraints specifically related to Red Bulls. Without such information, it is not possible to ascertain the conditions under which Chris would choose not to buy any Red Bulls.

Moving on to the utility function and expenditure question, given the utility function U = 6ln(b) + 2ln(c) + ln(s) + x, where b represents loaves of bread, c represents kilos of cheese, s represents kilos of salami, and x represents dollars left over to spend on other goods and services, the consumer aims to maximize utility.

To determine the optimal bundle, the consumer will allocate their budget of $160 to purchase specific quantities of bread, cheese, and salami while leaving a portion for other goods and services. The specific amounts purchased will depend on the prices of bread, cheese, and salami and their respective marginal utilities.

Calculating the marginal utility per dollar spent on bread, cheese, salami, and other goods and services will reveal the relative importance of each item in maximizing utility. By comparing these values, we can identify which goods provide the highest marginal utility per dollar spent and are, therefore, the most beneficial in terms of utility maximization.

Please note that the calculations for the optimal bundle and marginal utility per dollar spent require specific numerical values for prices and quantities to provide a more detailed answer.

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Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Answer:

The circumference is found by multiplying Pi by the diameter is the true statement. All the others are lies! :)

Answer:

circumference is pi times diameter

Answer:

1 = B, 2 = B, 3 = C

Step-by-step explanation:

1) When there are same digits with exponents being multiplied, you add the exponents

2) When an exponent is being distributed through a parenthesis, you multiply

3) When there are same digits with exponents being divided, you subtract the exponents

Answer:

Step-by-step explanation:

The correct answer is d. p1=p2=p3=p4=0.25.

In a multinomial experiment, the null hypothesis specifies the values of the population proportions for each category. Therefore, options (a), (b), and (c) cannot be the null hypothesis since they specify values for the population means, not the population proportions.

Option (d) specifies that all population proportions are equal to 0.25, which is a valid null hypothesis for a multinomial experiment with four categories.

The proportion of scores that are below 12.5 is 0.8944 or 89.44%.

Given that the population is normally distributed with a mean of 10 and a standard deviation of 2, we can calculate the proportion of scores below 12.5 using the z-score formula.

z = (x - μ) / σwhere x = 12.5, μ = 10, and σ = 2.

Substituting these values into the formula, we get:

z = (12.5 - 10) / 2z = 1.25

We must find the area under the standard normal distribution curve to the left of z = 1.25. This area represents the proportion of scores that are below 12.5.

We can use a standard normal distribution table or calculator to find this area. Using a standard normal distribution table, the area to the left of z = 1.25 is 0.8944.

Therefore, the proportion of scores below 12.5 is 0.8944 or 89.44%.

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The angle measures for this problem are given as follows:

The quadrilateral A'B'C'D' is similar to quadrilateral ABCD, meaning that they have the same angle measures, and thus we have to obtain the angle measures of quadrilateral ABCD.

To obtain the angle measures of the quadrilateral ABCD, we must first obtain the angle measures of the triangle.

The sum of the measures of the internal angles of a triangle is of 180º, and the measures are given as follows:

Angle D is vertical with the angle of 77º, hence:

m < D' = 77º.

Angle B is supplementary with it's external angles, hence:

m < B' = 180 - 80 = 100º.

Angle C is congruent with the angle of 80º.

m < C' = 80º.

The sum of the measures of the internal angles of a quadrilateral is of 360º, hence:

m < A' + 100 + 77 + 80 = 360

m < A' = 103º.

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It is generally not possible to obtain a very strong correlation just by chance when there is no relationship between two variables.

Correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, with 0 indicating no correlation. In statistical analysis, correlation is based on analyzing the data and calculating the correlation coefficient. If there is no true relationship between the variables, it is unlikely to obtain a very strong correlation solely by chance. The correlation coefficient reflects the extent to which the variables move together in a predictable pattern. Random chance would not consistently produce a strong correlation, as it requires a genuine relationship between the variables to generate a high correlation coefficient.

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Answer:

8< (2) ( 7- (2)) = 8<10 which is true

so A. is the answer

Step-by-step explanation:

Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer: 2/3

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of numerator (6): 1, 2, 3, 6

Factors of Denominator (9): 1, 3, 9

Steps to Calculate:

1. Find the GCF

2. Divide numerator and denominator by GCF

6/3 = 2

9/3 = 3

Therefore, the lowest term would be 2/3

Answer:

They are both the same.

Step-by-step explanation:

The closet has 3 tiles, and the bathroom has 3 tiles as well (add up the 2 half tiles) thus they both cost the same to tile.

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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The equation in slope-intercept form representing the number of questions on the test is y = 5x + 10.

To write the equation in slope-intercept form, we need to determine the relationship between the number of spelling questions (x) and the number of vocabulary questions (y) on the test.

Given that spelling questions are worth 5 points and vocabulary questions are worth 10 points, we can express the total number of points on the test as 5x + 10y. Since the maximum number of points on the test is 100, we have the equation 5x + 10y = 100.

To write the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we rearrange the equation. First, we divide both sides of the equation by 10 to simplify: x + 2y = 20.

Next, we isolate y by subtracting x from both sides: 2y = -x + 20. Finally, we divide both sides by 2 to solve for y: y = -0.5x + 10.

Therefore, the equation in slope-intercept form representing the number of questions on the test is y = 5x + 10.

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The probability of x being equal o 19.62 is d) 0.

It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.

Now, Normal distribution is a continuous distribution.

This implies that the probability is measured over an interval, taking an infinite number of points in between.

If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.

Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.

Hence, the probability that x = 19.62 will be 0.

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Answer:

y = 5

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of 5 , then

y = 5 ← equation of line

The component of a linear programming model that is NOT listed is "Decision variables."

A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:

Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.

Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.

Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.

However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.

Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.

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Answer:

D. 2/5

Step-by-step explanation:

Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5

Answer:

Step-by-step explanation:

to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top

5x(3x)

15x^2 is the area of the blacktop

The “!ield” area is next

12x(7x)

84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same

84x^2-15x^2

69x^2 is the area of the rectangle that is not black top

B- the foundtain we find with the area of circle formula r squared times pi

3x(3x)pi

9x^2pi

Now we just subtract this from the area of the rectangle

69x^2 -9x^2pi is the area

Hopes this helps please mark brainliest

Answer:

F=95

L=70

Step-by-step explanation:

3L+2F=400

2L+3F=425

Plug in and substitute

F=95

L=70

(Can I get brainliest please)

Answer:

lemon cookies = 70 calories

fudge cookies = 95 calories

Step-by-step explanation:

Lemon cookies = "x"

Fudge cookies = "y"

As per what is given;

3x + 2y = 400

2x + 3y = 425

Multiply the first equation by (-3), and the second by (2)

-9x - 6y = -1200

4x + 6y = 850

________________

-5x = - 350

Inverse operations;

-5x = -350

/-5      /-5

x = 70

Subsitute back in;

3x + 2y = 400

3(70) + 2y = 400

Simplify, inverse operations;

210 + 2y = 400

-210           -210

2y = 190

y = 95

Answer:

Choice 1) 181.5 mm

Step-by-step explanation:

41.5+55+85 = 181.5

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

4

Step-by-step explanation:

Answer: y=8

Step-by-step explanation:

Since DF is bisected, it means but in half. This means DU and UF are equal in length. We can set them equal to each other to find y.

2y=16          [divide both sides by 2]

y=8

Answer:

y=8

Step-by-step explanation:

when a triangle is bisected opposite sides become equal

Both sides are the same

2y=16 divide both sides by 2

y=8

Answer: 150x18 means the length is 150 and the width is 18

to find area multiply them by each other

Step-by-step explanation:

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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To find ΔHrxn for Zn(s) + HCl(aq) heat, we use q = cmΔT and track down q = - 582.4 J, it is exothermic to show the response. ΔHrxn is equivalent to - 582.4 J, meaning the response discharges heat.

We can involve the condition for the adjustment of intensity energy, q = cmΔT, to ascertain ΔHrxn for this response.

q = heat energy change = cmΔT

where c = explicit intensity limit of the arrangement = 4.18 J/g⋅∘C

m = mass of the arrangement = thickness of the arrangement x volume = 1.0 g/mL x 50.0 mL = 50.0 g

ΔT = change in temperature = 24.3 ∘C - 21.5 ∘C = 2.8 ∘C

In this way, q = (4.18 J/g⋅∘C)(50.0 g)(2.8 ∘C) = 582.4 J

Since the response is exothermic (the arrangement discharges heat), the ΔHrxn will be negative, meaning the response discharges heat.

ΔHrxn = - q = - 582.4 J

Subsequently, the ΔHrxn of Zn(s) with HCl(aq) is - 582.4 J.

To find ΔHrxn, the intensity energy change, for the response of Zn(s) with HCl(aq), we utilize the condition q = cmΔT. The particular intensity limit of the arrangement is 4.18 J/g⋅∘C, the mass of the arrangement is 50.0 g, and the adjustment of temperature is 2.8 ∘C. In this way, q = - 582.4 J, meaning the response discharges heat, and ΔHrxn = - 582.4 J. This computation shows that the response of Zn(s) and HCl(aq) discharges heat, making it exothermic.

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The complete question is:

Zinc metal reacts with hydrochloric acid according to the following balanced equation.

Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)

When 0.105 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 21.5 ∘C to 24.3 ∘C.

Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g⋅∘C as the specific heat capacity.)

Answer:

\(x^{11}\), 8\(x^{6}\)\(y^{9}\), 16\(x^{8}\)-\(b^{8}\)

Step-by-step explanation:

When multiplying exponents, add them.

5 + 6 = 11

\(x^{11}\)

When it is in parenthesis, distribute to everything.

2³\(x^{2 * 3}\)\(y^{3 * 3}\)

8\(x^{6}\)\(y^{9}\)

Same as above, subtract fractions.

\(\frac{2^{4}x^{8} }{b^{8} }\)

16\(x^{8}\)-\(b^{8}\)