If x<0 and y=0 where is the point (x,y) located

The number of cups of sugar will be 11²/₃.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Donna's recipe calls for 2¹/₃ cups of sugar for each cake. Donna wants to make 5 cakes.

The number of cups of sugar will be,

Number = 2¹/₃ x 5

Number = (7/3) x 5

Number = 35 / 3

Number = 11²/₃.

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 :D   2 btw

Step-by-step explanation:

First, let's rewrite the given equations:
1) (t^2 + t - 6)y'_1 = (sin t)y_1 + 5y_2 + 7, y_1(-2) = 0
2) y'_2 = -4t^2 y_1 + (tan t)y_2 + ln|t|, y_2(-2) = -3
For a unique solution to exist, the coefficients of the system must be continuous on the given t-interval. Here, the coefficients are t^2 + t - 6, sin t, 5, 7, -4t^2, tan t, and ln|t|. All these functions are continuous except for the tan t and ln|t| terms. The tan t function has discontinuities at t = (2n + 1)(π/2) where n is an integer, and the ln|t| function is undefined at t = 0. To guarantee a unique solution, we need to avoid these points.
Considering the initial values y_1(-2) = 0 and y_2(-2) = -3, the largest t-interval for a unique solution would be the interval between the nearest discontinuities of tan t and ln|t| around t = -2. Since the nearest discontinuity of tan t is at t = -π/2 and of ln|t| is at t = 0, the largest t-interval where a unique solution is guaranteed to exist is (-π/2, 0).

To guarantee a unique solution of the given initial value problem, we need to ensure that the coefficients of y1 and y2 are continuous and bounded on some interval.
We can start by finding the intervals where y1 and y2 are defined. From the initial conditions, we have y1(0) = ∞ and y2(0) = −1/9.

Therefore, y1 is defined for t > 0 and y2 is defined for t ≠ 0.
Next, we check the continuity and boundedness of the coefficients.
For y1, the coefficient of y1 is (sin t)/(t^2 + t − 6), which is continuous and bounded on the interval

(−∞, −3) ∪ (−3, 2) ∪ (2, ∞).

Therefore, the largest t-interval where a unique solution is guaranteed to exist is the interval (−∞, −3) ∪ (2, ∞).
For y2, the coefficient of y2 is (tan t)/t, which is not defined at t = 0. However, it is continuous and bounded on any interval that does not contain 0. Therefore, the largest t-interval where a unique solution is guaranteed to exist is any interval that does not contain 0.

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Answer:

6x + 9 + y

Step-by-step explanation:

bien, así que la ecuación se ve así:

4x + 9 - 3y + 2x + 3y

Así que agregamos todas las variables x juntas y las y variables y juntas para simplificar la ecuación:

4x + 2x = 6x

-3y + 3y = y

así que vamos a agregar todas las variables x a las variables x, y las variables y a las variables y:

6x + y + 9

Así que su ecuación una vez simplificada es 6x + y + 9

Espero que esto te ayude

The expression that gives the perimeter of the rectangle in terms of w is 6w+5 units.

Given that, the length of the rectangle is \(\frac{5}{2}\) units greater than twice its width.

We need to determine the expression that gives the perimeter of the rectangle in terms of w.

Given, width = w units, then length= 2w + \(\frac{5}{2}\) units.

The perimeter of the rectangle is the sum of all the sides of the rectangle.

That is, perimeter of a rectangle = 2 (length+width).

Now, perimeter of a rectangle = 2 (2w + \(\frac{5}{2}\)+w)=6w+5 units.

Hence, the expression that gives the perimeter of the rectangle in terms of w is 6w+5 units.

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Answer:

The model would be 42 inches long

Step-by-step explanation:

5.25 inches long times scale factor of 8

5.25 * 8 = 42

Answer:

The model would be 42 inches long.

The measure of x in the parallel line is 57 degrees.

When parallel lines are crossed by a transversal line, angle relationships

are formed such as alternate interior angles, alternate exterior angles,

same side interior angles, vertically opposite angles, corresponding angles

etc.

Therefore, let's use the angle relationship to find the angle x as follows:

x + 123 = 180(same side interior angles)

subtract 123 from both sides of the equation

x = 180 - 123

Therefore,

x = 57 degrees

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Answer:

Wrong

Step-by-step explanation:

Because the answer to that would be 75000 and then you can't move the 0

Kind regards

Tilet

Answer:

Step-by-step explanation:

He divided by 100  instead of multiplied by 100.

He should have moved the decimal point 2 times to the right, not the left.

He could have known the answer was in correct by noting the result should be a lot greater than 7.5:

7.5 * 100 = 750.

Answer:

3 divided by 2/5=7.5

3 divided by 7=0.4286

3 divided by 7 1/5 =0.416

3 divided by 7 1/2=0.4

3 divided by 8=0.375

Step-by-step explanation:

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Answer:

200/17 years

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100i

If a cartoon of 2 dozen eggs includes 3 with cracks, then the number of eggs without cracks in 6 dozen eggs can be expected to be 63.

A dozen abbreviated as doz is a batch of 12. So in this situation, one dozen refers to 12 eggs. Therefore the number of eggs in 2 dozen will be equal to,

1 dozen = 12 eggs

2 dozen = 12x2= 24 eggs.

Therefore, a cartoon of 24 eggs includes 3 with cracks.

Similarly, 6 dozen is equal to,

1 dozen = 12 eggs

6 dozen = 12 x 6 = 72 eggs

We can determine the number of eggs with cracks by using an algebraic expression,

24 eggs include 3 eggs with cracks

72 eggs include: x eggs with cracks

x = 72×3 ÷ 24

x = 216 ÷  24 = 9 eggs with cracks.

Therefore the number of eggs without cracks can be calculated by the subtraction of total eggs from the eggs with cracks.

Eggs without cracks= 72 - 9 = 63 eggs.

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Answer:

h= -5.8

Step-by-step explanation:

Answer:

The answer could be x * 33 + 30.

Step-by-step explanation:

In this expression, the parentheses indicate that 14 and 19 are to be added together first, which equals 33. The expression x * 33 means that 33 is being multiplied by x. Finally, 30 is being added to this product. So both expressions represent the same mathematical operation.

Here's how to check our answer:

First, we simplify the expression inside the parentheses:

x(33) + 30

Next, we multiply x and 33:

x * 33 + 30

Finally, we add 30 to the product of x and 33:

x * 33 + 30

So, the expression x * 33 + 30 is equivalent to the expression x(14 + 19) + 30.

I would greatly appreciate Brainliest.
Have a nice day.

x(14+19)+ 30 =

     33   +  30

33x+30

The correct answer is b. 80%. This can be answered  by the concept of correlation coefficient.

The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables. It can range from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

In this case, a correlation coefficient of 0.8 indicates a strong positive correlation between the two variables. This means that 80% of the variation in the response variable can be explained by the variation in the explanatory variable.

To calculate the percentage of variation explained by the explanatory variable, we square the correlation coefficient (r²) and multiply by 100. In this case, (0.8)² = 0.64, and 0.64 x 100 = 64%.

However, the question is asking for the percentage of variation explained by the explanatory variable, not the correlation coefficient itself, so the correct answer is 80%.

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Prediction problems where the variables have numeric values are most accurately defined as regressions.

Regression analysis is a set of statistical processes used in statistical modeling to estimate the relationships between a dependent variable and one or more independent variables.

Researchers can use regression to predict or explain variation in one variable based on another variable. Definitions include: The response variable is the variable that researchers are attempting to explain or predict. It is also known as the dependent variable because it is dependent on another variable.

Understanding linear regression is critical because it provides a scientific method for identifying and forecasting future outcomes. The ability to find and evaluate predictions can help many businesses and individuals by providing benefits such as optimized operations and detailed research materials.

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Answer:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.

x = -1    y = 2

Step-by-step explanation:

Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.  That would give you

4y - 9 + 4y = 7

8y - 9 = 7

8y = 16

y = 2

x = 4y - 9 = 4(2) - 9 = 8 - 9 = -1

It is always a good idea  to check and see if your results satisfy the two equations

The solution for the system of linear equations is (-1, 2).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

x = 4y - 9 _____(1)

x + 4y = 7 ______(2)

Substituting (1) in (2) we get,

4y - 9 + 4y = 7

8y = 7 + 9

8y = 16

y = 2

Now,

x = 4 x 2 - 9

x = 8 - 9

x = -1

Thus,

The solution is (-1, 2).

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Answer:

NEED:

WANT:

Step-by-step explanation:

Right on Plato! <3

Have a wonderful day!

The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.

The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.

On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.

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Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

With triangle C, no rotation would make it like A and B, with the same side lengths, hence it is not congruent to any of the triangles in this problem.

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The correct answer is 138 students.

x = .24 * 575

x = 138 students

Therefore, the correct answer is 138 students.

The dimensions of the poster with the smallest area are as follows: The width is 20 cm, and the height is 16 cm.

To determine these dimensions, we need to consider the area of the printed material on the poster, which is fixed at 388 square centimeters. Let's assume the width of the printed material is x cm.

Since the side margins are each 2 cm, the total width of the poster (including the margins) becomes x + 2 cm + 2 cm = x + 4 cm.

Similarly, the total height of the poster is x + 4 cm as well because the top and bottom margins are both 4 cm.

To calculate the area of the entire poster, we multiply the width by the height: (x + 4 cm) * (x + 4 cm) = (x + 4)^2 cm^2.

According to the problem, the area of the printed material is 388 square centimeters. Therefore, we have the equation (x + 4)^2 cm^2 = 388 cm^2.

Solving this equation, we find x + 4 = 19 cm, which means x = 15 cm.

Hence, the dimensions of the poster, width is 15 cm + 4 cm = 19 cm, and the height is also 15 cm + 4 cm = 19 cm.

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Answer:

θ = 35°

tanθ = 1

Step--step explanation:

using SOH CAH TOA

Hypotenuse = 7

opposite = 4

adjacent = needs to be found

θ = needs to be found

According to Pythagoras theorem

Hyp² = opp² – Adj²

7² = 4² – Adj²

Adj² = 49 – 16

Adj ² = 33

Adj = 5.7

what connects Hypotenuse and opposite os SOH

sinθ = opposite/Hypotenuse

sin θ = 4/7

sinθ= 0.57

divide bith sides by sin

θ = sin-¹ 0.57

θ = 34.75°

to find Tan θ TOA

Tanθ = opposite / adjacent

Tanθ = 4/5.7

Tan θ= 0.7018

Tanθ = 1

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Answer:

28 cm²

Step-by-step explanation:

Given:

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Solution:

Area of the parallelogram = a*b*sin(θ)

a = 4cm

b = 7 cm

θ = 100°

Area of parallelogram = 4*7*sin(100)

Area = 28*0.9848

Area = 27.57

Area of parallelogram to 2 significant figure = 28 cm²

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

No solution occurs only for k = 1. (2) Infinitely many solutions occurs for no value of k. (3) A unique solution occurs for k = 1.

Step-by-step explanation: