A recipe calls for 112 1 1 2 teaspoons of cinnamon to make 2 dozen oatmeal cookies. How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?.

Answer:

The best time is 56.81 seconds

Average leg time is 58.3825 seconds

Step-by-step explanation:

Here, we want to start by stating the team’s best time for the race

The team’s best time for the race is the smallest time spent on a lap

From the times given, the best time is 56.81 seconds

Now, we want to calculate the average time

We simply add up all these and divide by count

Mathematically, that will be;

(56.81 + 59.22 + 57.39 + 60.11)/4 = 58.3825 seconds

Answer:

C. Divide each side by -2/3

Step-by-step explanation:

-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.

Answer:

The answer is x = -6 and y = -5.

Step-by-step explanation:

To solve this problem, we can use substitution. Let's first solve one of the equations in terms of the variable y, and then substitute this value into the other equation.

4x = 3y - 9

3y = 4x + 9

Since the term "3y" is present in the other equation given, we can substitute the right side of this equation (4x + 9) into the other equation for 3y. This is shown below.

6x - 3y = -21

6x - (4x + 9) = -21

6x - 4x - 9 = -21

We can simplify the left side of the equation and solve for x.

2x - 9 = -21

2x = -12

x = -6

Now, we can substitute this value for x into one of our equations to solve for y.

4x = 3y - 9

4(-6) = 3y - 9

-24 = 3y - 9

-15 = 3y

y = -5

Therefore, the correct answer is x = -6 and y = -5.

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Answer:

just plug in the x value into the equation and put it in ur calculator

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

1: Because all lines on a rectangle never touch so it is a parallelogram. But all sides of a square don't touch either, so that's also a parallelogram. So not all parallelograms are rectangles since squares are also parallelograms

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. All internal angles of a rectangle are 90° while the internal angles of a parallelogram may differ

2. A quadrilateral just means anything with 4 sides (quad meaning 4 and lateral meaning sides) and it is 2-dimensional with straight sides.

Therefore, the trapezoid and isosceles trapezoid are quadrilateral

a) A quadrilateral must have a pair of parallel sides to be classified as a trapezoid.

b) A quadrilateral must have the left and right side to be of equal length and the base angles equal to be classified as an isosceles trapezoid

I hope this answers your questions correctly

Answer:

j=57/8

Step-by-step explanation:

Answer:

J=7

Step-by-step explanation:

calculate

8j=75-19,

Divide both sides

8j=56

Answer:

For problem 17a) your answer is: x=11.5 degrees

Step-by-step explanation:

1. Measure of angle BCA will be 180°-124°=46°

2. In triangle BCA, you now have two angles. 46 degrees, and 2x.

3. Measure of angle ABE is an exterior angle of triangle BCA

4. Using the exterior angle theorem, angle ABE=angle BCA+angle BAC

5. substitute!! 2x+46=6x

6. move 2x over and then divide by 4, you get x=11.5°

7. You can plug the answer back in to check if it correct!! have a nice day :>

Answer:

\(\sqrt[3]{2}\)

Step-by-step explanation:

Attached is an image of the function graphed. From the image, you can see that the only zero, or x-intercept, is at about -0.327, or \(\sqrt[3]{2}\) to be exact.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

Answer:

you have to use the comment box brainly wont let you private message people

Step-by-step explanation:

lol U~U

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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The mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

One or more mental models that one has used can be expressed mathematically. A model can be defined as a representation of something that describes the various processes that are involved in it. In other words, a model is an abstraction of something real that can be used to make predictions or to explain phenomena. So, for example, if someone has a mental model of how a car engine works, they may have a simplified representation of the various parts and processes that are involved in making the engine run.

The variables in a mental model can be dependent and independent variables. The dependent variables are the variables that are being predicted, while the independent variables are the variables that are used to make the predictions. In other words, the dependent variable is what the model is trying to explain, while the independent variables are the inputs that the model uses to make those explanations.

For example, if someone has a mental model of how traffic flows on a busy highway, they may have a set of variables that they use to predict how traffic will behave. The dependent variable in this case would be traffic flow, while the independent variables might include the number of cars on the road, the speed of those cars, the distance between them, and the weather conditions.

Another example of a mental model that could be expressed mathematically might be a model of how people make decisions. In this case, the dependent variable might be the decision that a person makes, while the independent variables might include their emotions, their beliefs, and their past experiences.

In conclusion, mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

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A(11) counts partitions of 11 into parts congruent to ±1 mod 6 is A(11) = 2 and B(11) counts partitions of 11 into distinct parts congruent to ±1 mod 3 is  B(11) = 2. C(11) counts partitions of 11 into parts differing by at least 3 and multiples of 3 differing by at least 6 is C(11) = 1.

A(11) counts the number of partitions of 11 into parts congruent to ±1 mod 6. One such partition is 11, which is already congruent to ±1 mod 6. Another partition is 7+1+1+1+1, which consists of four parts that are congruent to 1 mod 6 and one part that is congruent to -1 mod 6. Therefore, A(11) = 2.

B(11) counts the number of partitions of 11 into distinct parts congruent to ±1 mod 3. One such partition is 11, which is already congruent to ±1 mod 3. Another partition is 7+3+1, which consists of three distinct parts that are congruent to 1 mod 3. Therefore, B(11) = 2.

C(11) counts the number of partitions of 11 into parts that differ by at least 3, with the added condition that any parts that are multiples of 3 must differ by at least 6. One such partition is 11, which is the only way to partition 11 into parts that differ by at least 3. Therefore, C(11) = 1.

Therefore, the partitions of 11 counted by A(11), B(11), and C(11) are:
A(11): 11, 7+1+1+1+1
B(11): 11, 7+3+1
C(11): 11

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Answer: no 3 is grade then -6 as 3 is positive number and 6 is negative number so positive is greater then negative number.

Step-by-step explanation:

In order to indicate if a number is greater than or less than another, we use the symbols > and <. For example, 10 is greater than 3, so we write it 10 > 3.

The null and alternative hypotheses for testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 0.005 significance level can be stated as H0: pM ≥ pF H1: pM < pF

In this case, pM represents the proportion of men who own cats, and pF represents the proportion of women who own cats. The null hypothesis (H0) states that the proportion of men who own cats is greater than or equal to the proportion of women who own cats. The alternative hypothesis (H1) states that the proportion of men who own cats is less than the proportion of women who own cats.

To test these hypotheses, statistical analysis can be performed using appropriate methods, such as conducting a hypothesis test for the difference in proportions between the two groups. The significance level of 0.005 indicates that the researcher wants to have strong evidence against the null hypothesis before rejecting it.

The sample data should be collected and analyzed to determine if there is sufficient evidence to support the claim that the proportion of men who own cats is smaller than the proportion of women who own cats. This can be done by calculating the test statistic, comparing it to the critical value, and calculating the p-value. If the p-value is less than 0.005, the null hypothesis can be rejected in favor of the alternative hypothesis.

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Answer:

5

Step-by-step explanation:

1 galon =16 tazas

1/4 de galon=4 tazas

1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4

1.25 ×4= 5

The equation that represents the volume, V, as a function of the height, h, is V(h) = 36π × h.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

In this case, the radius is given as 6 meters. So, substituting r = 6 into the formula, we get:

V = π × (6)² × h

Simplifying this expression, we get:

V = π × (6)² × h

V = 36π × h

Therefore, the equation that represents the volume is V(h) = 36π × h.

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Answer:

A

Step-by-step explanation:

Answer:

point form=7,11     x= 7,y =11

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x-3

y=x+4

2x-3=x+4

2x-x=4+3

x=7

y=7+4=11

To find the volume of the solid, whose base is the region between the curve y=20 sin x.

We know that the base of the solid is the region between the curve y=20 sin x. We also know that the solid is bounded by the x-axis and the plane z=0.

Therefore, the height of the solid is the distance between the curve and the plane z=0. This distance is simply given by the function y=20 sin x.

To find the volume of the solid, we need to integrate the area of each cross-sectional slice of the solid as we move along the x-axis. The area of each slice is simply the area of the base times the height.

The area of the base is given by the integral of y=20 sin x over the region of interest. This integral is:

∫ y=20 sin x dx from x=0 to x=π

= -cos(x) * 20 from x=0 to x=π

= 40

Therefore, the area of the base is 40 square units.

The height of the solid is given by y=20 sin x. Therefore, the volume of each slice is:

dV = (area of base) * (height)

= 40 * (20 sin x) dx

Integrating this expression from x=0 to x=π, we get:

V = ∫ dV from x=0 to x=π

= ∫ 40 * (20 sin x) dx from x=0 to x=π

= 800 [cos(x)] from x=0 to x=π

= 1600

Therefore, the volume of the solid is 1600 cubic units.

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To find the volume of the solid, whose base is the region between the curve y=20 sin x.

We know that the base of the solid is the region between the curve y=20 sin x. We also know that the solid is bounded by the x-axis and the plane z=0.

Therefore, the height of the solid is the distance between the curve and the plane z=0. This distance is simply given by the function y=20 sin x.

To find the volume of the solid, we need to integrate the area of each cross-sectional slice of the solid as we move along the x-axis. The area of each slice is simply the area of the base times the height.

The area of the base is given by the integral of y=20 sin x over the region of interest. This integral is:

∫ y=20 sin x dx from x=0 to x=π

= -cos(x) * 20 from x=0 to x=π

= 40

Therefore, the area of the base is 40 square units.

The height of the solid is given by y=20 sin x. Therefore, the volume of each slice is:

dV = (area of base) * (height)

= 40 * (20 sin x) dx

Integrating this expression from x=0 to x=π, we get:

V = ∫ dV from x=0 to x=π

= ∫ 40 * (20 sin x) dx from x=0 to x=π

= 800 [cos(x)] from x=0 to x=π

= 1600

Therefore, the volume of the solid is 1600 cubic units.

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Answer:  

McDonalds = 75/500

Popeyes = 50/500

chipotle = 225/500

Burger King = 125/500

Wendy's = 25/500

Step-by-step explanation:  Since 20 people were in group questioned originally & you want to know how many from 500 you would divide 500 by 20 for 25.  Then multiply by 25.

Answer:

First off, for 5.) She should use a random sample of people all over the city, not just ones leaving McDonald's.

Secondly, out of 500 adults, 75 would go to McDonald's, 50 to Popeye's, 225 to Chipotle, 125 to Burger King, and 25 to Wendy's.

Step-by-step explanation:

The conclusion that supports that Joaquin wins the game is:

Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

In a data set involving an array of numbers, the median is usually the middle number after the data sets are arranged in order of magnitude from the lowest to the highest.

From the given information:

Now, by rearranging the array of numbers, we have:

Therefore, we can conclude that Joaquin won because the median of his scores is 73.5 and the median of Trisha’s scores is 83.

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3-year treasury securities as calculated from the data will now have a rate of 3.70%.

Current interest rate is calculated as Current Interest Rate + Liquidity Premium.

Average interest for 3 Year = (3.45% + 3.95% +3.25%)/3   = 3.55

3 year security liquidity premium = 0.15%

3 year Treasury security's current rate is 3.55% +0.15%.

= 3.70%

Therefore, The current rate be on 3-year treasury securities is 3.70%.

Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR).

The compensation a lender or financial organisation receives for giving out money is called interest. The percentage of a stockholder's ownership in a corporation that is also referred to as interest.

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Maria can draw a number line connecting the points 0 and 12, then divide the distance between them into four equal parts. The division operation produces the location of the point closest to zero.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in elementary mathematics. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Integers are frequently represented as specially marked points evenly spaced on a line. Despite the fact that the image only shows the integers from -3 to 3, the line includes all real numbers, which continue indefinitely in each direction, as well as numbers that are between the integers. It is frequently used to help teach simple addition and subtraction, particularly with negative numbers.

The number line is also known as a real line or real number line in advanced mathematics. It is formally defined as the set R of all real numbers viewed as a geometric space, namely the Euclidean space of dimension one. It's also known as a vector space, metric space, topological space, measure space, or linear continuum.

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Answer: it's around 40

Step-by-step explanation:

A correlation coefficient is a numerical index that reflects the relationship between two variables.

A correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables.

The correlation coefficient ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship of two variables.

The correlation coefficient is calculated using a formula that takes into account the covariance and standard deviations of the two variables.

It is commonly used in many fields, such as psychology, economics, and biology, to explore and understand the association between two variables.

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The graph that matches the above transformation is the graph that is horizontally compressed and flipped upside down.

If the function g is horizontally compressed by a factor of and reflected across the x-axis to obtain function f, the graph of f will be a horizontally compressed and reflected version of the graph of g.

To horizontally compress a function, the x-values are multiplied by a factor. If the factor is greater than 1, the compression is towards the y-axis. If the factor is between 0 and 1, the compression is away from the y-axis.

To reflect a function across the x-axis, the y-values are multiplied by -1. This flips the function upside down.

Based on these transformations, the graph of f will have a horizontally compressed shape compared to g and will be reflected across the x-axis.

Therefore, the graph that matches the above transformation is the graph that is horizontally compressed and flipped upside down.

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