Find the exact area of the surface z = 1 + 2x + 3y + 4y², 1 ≤ x ≤ 3,0 ≤ y ≤ 1.

Answer:

C) problem-solution

Step-by-step explanation:

The writer would give the problem:

dangerous levels of pollution in our oceans

and then the solution:

how people can reduce these levels

Answer:

C) problem-solution

Step-by-step explanation:

If this helped mind giving me a like?

We can use the incenter to find the best location, because the point that is equidistant to all sides of a triangle is called the incenter.

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

Now, We know that;

The incenter is equidistant from the sides of the triangle and the point that is equidistant to all sides of a triangle.

Hence, We can use the incenter to find the best location, to place a streetlight so it was equidistant from three sidewalks.

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m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:

m∠B = m∠Q

Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:

3v + 4 = 8v - 6

To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:

4 + 6 = 8v - 3v

10 = 5v

Dividing both sides by 5:

v = 2

Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:

m∠B = 3(2) + 4 = 10

m∠Q = 8(2) - 6 = 10

Therefore, m∠B = 10 and m∠Q = 10.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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the value today of the money machine is approximately $29,499.48.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

PV is the present value

C is the cash flow per period

r is the interest rate per period

n is the number of periods

Cash flow per year (C) = $4,161.00

Number of years (n) = 23.00

Interest rate (r) = 15.00%

First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:

r = 15.00% / 100 = 0.15

PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15

Using a calculator, we find that the present value (PV) is approximately $29,499.48.

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Answer:

Step-by-step explanation:

Hello, let's note n this integer.

n+ (n+1) + (n+2) = 168

3n+3=168

3(n+1)=168

n+1=168/3=56

n = 56-1=55

Thanks

Answer:

it is a rational number

Step-by-step explanation:

Answer:

Step-by-step explanation:

The way I see it is that since it has no thousandths place then the answer should be 197.82.

Step-by-step explanation:

I will help you 180 g flour

The maximum value of f(2,y) = 7c+y on the ellipse 2x^2 + 9y^2 = 1 is (7/√2) and the minimum value is (-7/3)√2.

To find the maximum and minimum values of f(2,y) = 7c+y on the ellipse 2? +9y2, we need to use Lagrange multipliers.
First, we write out the equation for the ellipse:
2x^2 + 9y^2 = 1
Next, we set up the Lagrange multiplier equation:
∇f = λ∇g
where f(2,y) = 7c+y and g(x,y) = 2x^2 + 9y^2 - 1.
Taking the partial derivatives, we get:
∂f/∂x = 0
∂f/∂y = 7
∂g/∂x = 4x
∂g/∂y = 18y
Setting these equal to λ and solving for x and y, we get:
x = ±1/√2 and y = ±1/3√2
Now, we need to evaluate f(2,y) at these four points:
f(2,1/3√2) = 7(1/3√2) = (7/3)√2
f(2,-1/3√2) = 7(-1/3√2) = (-7/3)√2
f(2,1/√2) = 7(1/√2) = (7/√2)
f(2,-1/√2) = 7(-1/√2) = (-7/√2)
Therefore, the maximum value of f(2,y) on the ellipse is (7/√2) and the minimum value is (-7/3)√2.

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Answer:

Is the answer not 361?

Step-by-step explanation:

Square 19.  

Im not sure what the question is.

The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

Answer:

\(x = - 1 \: and \: x = - 0.5\)

Step-by-step explanation:

\(2x(x + 1.5) = - 1 \\ 2x { }^{2} + 3x + 1 = 0 \\ (x + 1)(2x + 1) = 0 \\ x = - 1 \: and \: x = - 0.5\)

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

Answer:

117

Step-by-step explanation:

216/3=72

216-72=144

144-26=117

Answer: 117

Step-by-step explanation:

First you do 216 divide by 3 to know how many cards he gave his brother. So 216/3 is equal to 72. Then you add 72 to 27 to know the total amount of cards he loses, which is 99. Now you do 216-99 to get 117.

117 baseball cards remain in Ryan's collection.

(a) The position vector of the baseball at the time t is  <( 90cos(55).t), (90sin(55).t - 16t²)>

(b)  The velocity vector of the baseball at time t is <(90cos(55)), 90sin(55)>

(c) Hit is not a home run.

(d) At the time 4.455475 seconds, a baseball hit the fence.

What is the angle of elevation?

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

Here, we have

Given: A baseball leaves the bat at an angle of 55° from the horizontal traveling at 90 feet per second. A 20- foot fence boundary fence is 230 feet from the batter in a direct line where the ball is hit.

(a) At time t seconds horizontal distance traveled by the ball = μcos(θ).t

Horizontal distance x(t) = 90cos(55).t

Vertical distance =  μ.t = 1/2gt²

μ = 90sin(55).t, g = 32

Vertical distance y(t) = 90sin(55).t - 16t²

The position vector of the baseball at time t in the second :

S(t) = <( 90cos(55).t), (90sin(55).t - 16t²)>

(b) Horizontal component of velocity = 90cos(55)

The vertical component of velocity = 90sin(55)

Velocity vector = V(t) = <(90cos(55)), 90sin(55)>

(c) The horizontal distance of the fence = 230 feet

Height of fence = 20 feet

Horizontal distance= 230 = 90cos(55)t

t = 90cos(55)/230

t = 4.455475

Now, the vertical distance at time 4.455475 seconds

y(t) = 90sin(55)(4.455475) - 16(4.455475)²

= 10.854

baseball hit at the height of  10.854.

Hence, baseball didn't clear the fence, and it is not a home run.

(d) At the time 4.455475 seconds, a baseball hit the fence.

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Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

Answer: Yes.

Step-by-step explanation:

   Yes, zero is a whole number. Zero isn't a fraction or decimal and it isn't negative. This means that zero is a whole number because it aligns with the rules of a whole number.

Answer:

3

340?Step-by-step explanation:

BTW CHECK MY QUESTIONS PLS ULL LIKE IT

\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)

Answer:

The slope is 2.

Step-by-step explanation:

You can see on the intercepts that it goes rise 2 and run over 1 which would basically equal to 2.

Step-by-step explanation:

I don't know if it help but here.It's the one that says slope of a line.

Answer:

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

Hence the measures of the angles of the triangle are 38°, 66° and 76°

Answer: 6\(a^{2}\)+a-12

Step-by-step explanation:

First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)

That will get you 6\(a^{2}\)-8a+9a-12

Next, you will want to combine like terms to get 6\(a^{2}\)+a-12

Since you cannot simplify that any further, 6\(a^{2}\)+a-12 is your answer.

Answer:

5.5

Step-by-step explanation:

5.5 times 2 equals 11 minus 2 equals 9

5.5

Step-by-step explanation:

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

The argument is valid and follows the form of modus ponens. Modus ponens is a deductive argument that states if P implies Q, and P is true, then Q must also be true.

In this case, P is "if she likes cheeseburgers, she will go out to eat" and Q is "she will go out to eat." The argument states that P is true (she likes cheeseburgers), therefore Q must also be true (she will go out to eat).

The argument you provided is valid and follows the Modus Ponens form. In this case:

1. If she likes cheeseburgers (A), then she will go out to eat (B).
2. She likes cheeseburgers (A).
3. Therefore, she will go out to eat (B).

The argument is valid because the conclusion (B) logically follows from the premises (A and the "if A, then B" relationship).

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