Which function’s graph has roots at x=−3 and x=2, and a y-intercept at y=−12?

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh

Now, According to the question:

The surface area of a triangular prism is also known as the total surface area. Therefore, it is calculated using the formula, Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh; where:

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Answer:

c. the slope is 70, representing the old cost

Answer:

12!

Step-by-step explanation:

Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)

Answer:

Step-by-step explanation:

4 - x = -8

or. -x = -8 - 4

or. -x = -12

or. x = 12

7000 milliters are = to 7 liters

Answer:

If AB crosses at a right angle, it is called the "perpendicular bisector" of PQ. If it crosses at any other angle it is simply called a bisector. Drag the points A or B and see both types. For obvious reasons, the point F is called the midpoint of the line PQ. See also Angle bisector.

Answer:

The 12 ounce

Step-by-step explanation:

When you buy two twelve ounces you will be receiving 24 oz. for the same price as the 20 oz.

Hope This Helped

Jeff needs to start watering at 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.

Let's start by calculating the total watering time as follows -

5 locations * 25 minutes each = 125 minutes of watering time

4 locations * 2 minutes each for changing the sprinkler = 8 minutes for changing the sprinkler.

Hence, total time = 125 minutes + 8 minutes = 133 minutes

So, Jeff needs 133 minutes for watering the garden. The latest time he should start is 9:50 a.m. - 133 minutes = 9:50 a.m. - 2 hrs 13 minutes = 8:57 a.m.

Therefore, Jeff needs to start watering around 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.

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Answer The formula df = (c – 1) (r – 1) is used to find the degree of freedom – The degree of freedom of the chi-square test is calculated by the formula df = (c – 1) (r – 1), where c represents the column number of cell and r represents the row number of the cell.

Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

The answer would be A because the person would go up 7 floors, go down 2, and go down five more.

Step-by-step explanation:

Given:

A number line from -10 to 10 with 20 tick marks.

Point D is 1 tick mark to the left of 5.

To find:

The integer value that represents point D.

Solution:

A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.

We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.

Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

\(5-1=4\)

Therefore, point D represents the integer 4.

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Answer:

The answer would be 60 first of all.

Step-by-step explanation:

Ok, this would be an Scalene triangle.

Answer:

Looks like a scalene triangle.

Step-by-step explanation:

If angle C is 70°, angle B2 is 60° Then angle D will be 50°. So it’s a Scalene triangle.

Answer:

good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr

Step-by-step explanation:

Option D is representing the inequality 2(x - 3) - 5x < x-2​ on the number line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the inequality is 2(x - 3) - 5x < x-2​. The inequality will be solved as,

2(x - 3) - 5x < x-2​

2x - 6 - 5x < x - 2

-3x - 6 < x - 2

-3x - x < 6 - 2

-4x < 4

x > -1

The number line of the inequality is attached with the answer below.

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Answer:

Hope the picture will help you...

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

3/1

Step-by-step explanation:

rise/ run or also slope formula with 2 coordinates(2,3 and 3,6) use the slope formula

Answer:

4/1

Step-by-step explanation:

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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Answer:

ANSWER:

450

6 of them had Blue eyes

Evan's mother drove 45 miles in total.

Jada had 15 crayons left

Amelie read 15 pages on monday.

Step-by-step explanation:

first one

Total blue eyed:-

Answer:

Since it is an isoceles triangle:

\(y = 180 \degree - 110 \degree \\ y = 70\degree\)

Answer: C. 70°

Answer: C. 40.

Step-by-step explanation: it wouldn't be 140 because the angle is too small and it wouldn't be 40 because the angle is too big and plus the angle is close to 90 so it would be 70

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

420/35 = 12 copies per minute. 12 * 60 = 720 copies per hour

Answer:  c

Step-by-step explanation:

Monthly payment before deferral: $345.09. Balance after deferral: $67,901.53. Monthly payment after deferral: $380.57. Monthly payment to pay off debt within 25 years from graduation: $421.63.

To calculate the monthly payment for a student loan, we can use the loan amortization formula.

Monthly payment calculation:

We can use the formula for calculating the monthly payment on an amortizing loan:

PMT = (P * r) / (1 - (1 + r)^(-n))

where PMT is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the total number of payments.

Given:

P = $62,100 (loan amount)

r = 4.6% per year / 12 months = 0.046/12 (monthly interest rate)

n = 25 years * 12 months = 300 (total number of payments)

Substituting these values into the formula, we can calculate the monthly payment:

PMT = (62,100 * (0.046/12)) / (1 - (1 + (0.046/12))^(-300))

Balance after deferral period:

To calculate the balance after the deferral period of 2 years, we need to calculate the interest accrued during that period and add it to the original loan amount:

Interest accrued during deferral = P * r * deferral period (in years)

New balance = P + Interest accrued during deferral

New monthly payment after deferral period:

To calculate the new monthly payment after the deferral period, we can use the same formula as before, but with the new balance and the remaining number of payments:

New PMT = (New balance * r) / (1 - (1 + r)^(-n))

Monthly payment to pay off the debt within 25 years from graduation:

To calculate the monthly payment to pay off the debt within 25 years from graduation, we need to adjust the remaining number of payments:

Remaining number of payments = 25 years * 12 months - deferral period

Then we can use the same formula as before to calculate the monthly payment.

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The percent of the original price for the end-up paying in the given store is 0.5.

The original price is calculated by

Sale price = (1 - percent off) × original price

I.e., P = (1 - d) × x

It is given that,

discount is given as 35%

For advertising, it is given as 25% off

The discount percentage is calculated by

(1 - 35%) = 0.65

The additional payoff is calculated by

(1 - 25%) = 0.75

Then, the percent of the original price = 0.65 × 0.75 = 0.4875

On rounding off to the nearest decimal,

Percent of the original price = 0.5.

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The maximum height of the missile is 1562.5 meters, rounded to three decimal places.

We can find the time it takes for the missile to reach its maximum height by finding the vertex of the parabolic function.

The given function is:

h(t) = -5t^2 + 125t + 125

To find the time at which the missile reaches its maximum height, we need to find the t-value of the vertex. The t-value of the vertex is given by:

t = -b / 2a

where a = -5 and b = 125.

Plugging in the values, we get:

t = -125 / 2(-5) = 12.5 seconds

So, it takes 12.5 seconds for the missile to reach its maximum height.

To find the maximum height, we substitute the value of t = 12.5 seconds in the given function:

h(12.5) = -5(12.5)^2 + 125(12.5) + 125

h(12.5) = 1562.5 meters

So, the maximum height of the missile is 1562.5 meters, rounded to three decimal places.

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Answer:

£ 210  &  £ 270

Step-by-step explanation:

Amount =  £480

Ratio = 7 : 9

Total parts = 7+9 = 16

\(\dfrac{7}{16}*480=7 * 30\) =  £ 210

\(\dfrac{9}{16}*480=9*30= 270\)