There are cows and turkeys at a farm, 82 heads and 264 legs in all. There is no need to explain that a cow has four legs, while a turkey has two legs. How many cows and turkeys are at the farm? How can I solve this using elimination or substitution can I have steps please. No spamming please

Answer:

6

Step-by-step explanation:

The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is π/77 (243 - 9sqrt(3)).

To find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis, we can use the method of cylindrical shells. This involves integrating the circumference of a cylindrical shell times its height to obtain the volume of each shell, and then adding up the volumes of all the shells to get the total volume.

First, let's find the points of intersection of the two curves:

2/7 x^2 = 9/7 - x^2

9/7 = 9/7 x^2 + 2/7 x^2

9/7 = 11/7 x^2

x^2 = 9/11

x = ±sqrt(9/11)

The solid we obtain by rotating this region about the x-axis will have cylindrical shells with height dx, radius x, and circumference 2πx. Therefore, the volume of each shell will be:

dV = 2πx × h × dx

where h is the difference between the y-values of the curves at x:

h = (9/7 - x^2) - (2/7 x^2) = 9/7 - 9/7 x^2

Therefore, the total volume of the solid will be:

V = ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) 2πx * (9/7 - 9/7 x^2) dx

V = 2π/7 ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) x(9 - 9x^2) dx

We can simplify the integrand by setting u = 9x^2:

du/dx = 18x

dx = du/18x

Substituting:

V = 2π/7 ∫(from u = 9/11 to u = 81/11) (1/2)u^(1/2) (9/2) (du/18x)

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / x du

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / sqrt(9/11 - u/11) du

This integral can be evaluated using a trigonometric substitution. Let u = 9/11 sin^2 θ, then:

du/dθ = (18/11) sin θ cos θ dθ

Substituting:

V = π/7 ∫(from θ = π/6 to θ = π/2) (81/121) sin^3 θ dθ

V = π/7 [(81/121) * (3/4) - (9/121) × (sqrt(3)/2)]

V = π/77 (243 - 9sqrt(3))

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Answer:

D. 16, 9, 8

Step-by-step explanation:

sum of any two sides of triangles must be greater than the third side

only the fourth option follows this rule

Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).

Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.

Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.

The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.

We have,

1.

The ratios of blue paint to yellow paint in the mixtures for days 1 and 2 are as follows:

For day 1: 4 tubes of blue to 6 tubes of yellow, which simplifies to 2:3.

For day 2: 6 tubes of blue to 9 tubes of yellow, which also simplifies to 2:3.

Yes, these ratios represent a proportional relationship because they reduce to the same simplified ratio of 2:3.

2.

To calculate the total amount of blue paint and yellow paint used on days 1 and 2:

For day 1: 4 tubes of blue + 6 tubes of yellow = 10 tubes of paint in total.

For day 2: 6 tubes of blue + 9 tubes of yellow = 15 tubes of paint in total.

Therefore,

Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total.

3.

To determine the number of tubes of each type of paint Marc has left for day 3:

Blue paint: Marc started with 14 tubes of blue paint and used 10 tubes, so he has 14 - 10 = 4 tubes of blue paint left.

Yellow paint: Marc started with 20 tubes of yellow paint and used 15 tubes, so he has 20 - 15 = 5 tubes of yellow paint left.

Therefore, Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.

4.

To find the greatest number of tubes of blue and yellow paint Marc can mix on day 3 while maintaining the same proportional ratio:

Since the ratio of blue paint to yellow paint in the original mixture is 2:3, Marc needs to multiply both numbers by the same factor to find the greatest number of tubes he can mix.

The highest common factor of 4 (tubes of blue paint) and 5 (tubes of yellow paint) is 1.

So, Marc can mix 4 tubes of blue paint and 5 tubes of yellow paint on day 3 while maintaining the same original shade of green.

Therefore, the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.

Thus,

Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).

Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.

Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.

The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.

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Answer:\(x= - \frac{1 - \sqrt{57} }{4} , \frac{1 + \sqrt{57} }{4}\)

Step-by-step explanation:

You first simplify it. You can use the quadratic formula. First, you have to divide by 2. \(x^{2} + \frac{x}{2} - 7 = 0\) Now you can use the formula, so, the answer is \(x= - \frac{1 - \sqrt{57} }{4} , \frac{1 + \sqrt{57} }{4}\)

Answer:

La opción correcta es;

d) R $ 1.200,00

Step-by-step explanation:

El monto que Joao prestó a José = R $ 1.000,00

La duración del préstamo = 6 meses

El plazo de interés del préstamo = interés simple del 10% por trimestre

La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;

A = P · (1 + r · t)

A = La cantidad que José tiene que pagarle a Joao después de 6 meses

P = La cantidad que Joao prestó a José = R $ 1.000,00

r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)

t = La duración del préstamo = 6 meses

Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;

A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00

El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00

a. Jump with a bobbing motion: Shortest jump  b. Jump from deep knee flexion: Intermediate jump

c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:

a) The bobbing motion involved bending and extending the knees and arms during the jump.

b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.

c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.

The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.

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Answer:

2.34 gallons per hour

Step-by-step explanation

5 fluid ounces = 0.0390625 gallons

60 min = 1 hour

0.0390625 x 60min = 2.34 gallons per hour

The net worth of the surf shop is $565,074 calculated by preparing the balance sheet of the surf shop.

A detailed report containing specific details about just the company's assets, liability, and shareholder equity is known as a categorized balance sheet. This balance sheet breaks down current assets, long-term investment, fixed assets, intangible assets, liabilities, long-term borrowings, and shareholder's equity into their component parts.

To calculate the net worth of the surf shop, we need to add up all the assets and subtract the total liabilities. First, let's calculate the current total assets of the surf shop, including the increase in property value:

Owned Inventory = $32,990

Cash = $219,783

Savings Account = $148,321

Owned Equipment = $35,872

Accounts Receivable = $11,261

Long Term Investments = $138,000

Property Value = $181,975 + $20,000 (increase) = $201,975

Total Assets = $768,202

Next, let's calculate the total liabilities of the surf shop:

Building Mortgage = $100,650

Small Business Loan = $22,698

Other Debt = $45,780

Long Term Liabilities = $35,000

Total Liabilities = $203,128

Finally, we can calculate the net worth of the surf shop by subtracting the total liabilities from the total assets:

All Assets - All Liabilities Equals Net Worth

Net Worth = $768,202 - $203,128

Net Worth = $565,074

Therefore, the net worth of the surf shop is $565,074.

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Answer:

i dont know

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3b = 5$

3b = 6a

3b = 3 bags

6a = 6 apples

A. It costs 3.60 for 1 bag of apples

3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126

Meaning it would cost 126 for 3 bags of apples making this a incorrect option

B. It costs 3.60 for 1 apple

B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.

C. The cost of 9 bags of apples is 30$

9b = 21a, its either c or d but I'm pretty sure its D!

D. The cost of 108 apples is 30$

D is correct

~ LadyBrain

Answer:

x = -4

Step-by-step explanation:

hoffe das hilft jedem in der zukunft

Answer:

y=-2x-3

Step-by-step explanation:

Minimizing the Sum of Squared Deviations

In statistics, the objective of many analyses is to identify the values of parameters that minimize the sum of squared deviations between observed and expected values. A common example of this is finding the mean (average) of a set of values. In this context, the deviations are calculated as the difference between each observed value and the mean.

In the problem stated above, we have a sum of squared deviations given by the expression (x_1 - c)^2. The goal is to find the value of c that minimizes this expression. To do this, we will take the derivative of the expression with respect to c, set it equal to 0, and solve for c.

Taking the derivative with respect to c:

The derivative of (x_1 - c)^2 with respect to c is 2 * (x_1 - c) * (-1) = 2 * (c - x_1). Setting this equal to 0 and solving for c:

2 * (c - x_1) = 0

c = x_1

So, the value of c that minimizes the expression (x_1 - c)^2 is equal to x_1.

Comparing Sum(x_i - mu)^2 and Sum(x_i - x_1)^2:

Now, let's consider the two quantities Sum(x_i - mu)^2 and Sum(x_i - x_1)^2. Assuming that mu is the population mean and x_1 is a sample mean, we can say that Sum(x_i - mu)^2 will always be equal to or larger than Sum(x_i - x_1)^2. This is because the sample mean is an unbiased estimator of the population mean and has a smaller variance than the population mean. In other words, the sample mean will be closer to the observed values, on average, than the population mean, leading to smaller deviations and a smaller sum of squared deviations.

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the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

Answer:

1/2 2/4

Step-by-step explanation:

Answer:

it is C. 2/1

Step-by-step explanation:

because 1 goes into 2 twice

In  Arithmetic Progression , 56 inches of snowfall will cause the snowplow to be immobile.

What is Arithmetic Progression in math?

Let x inches of snowfall will cause the showplow to be immobile .

By a.p. formula ,

                aₙ = a + ( n - 1) d

                 aₙ= 0 ( show plow's speed is 0 ,miles/hour )

              a = 39

              n = x inches

             d = - 2.5 mile/hour

         0 = 39 + ( n - 1 ) ( -2.5)

            ( n - 1 ) ( -2.5) = -39

              n- 1 = -39/2.5 = 15.6

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Answer:

(3-8i)

Step-by-step explanation:

Group the real part and the imaginary part of the complex number

Answer:

The answer is 8 The GCF of 24 and 32 is 8

Step-by-step explanation:

Hope this helps

Answer:

the answer is 8

Step-by-step explanation:

Answer:

15 ft

Step-by-step explanation:

Use Pythagorean Theorem:

\(c^{2} = 9^{2} + 12^{2} \\c = 15\)

Answer:

О  B. Standard deviation.

Step-by-step explanation:

Standard deviation measures the dispersion of a data distribution (variability in scores).

...

The exact length of the curve x=(1/3)√y(y-3), where y ranges from 4 to 16, is approximately 4.728 units.

To find the exact length of the curve defined by the equation x = (1/3)√y(y - 3), where y ranges from 4 to 16, we can use the arc length formula for a curve in Cartesian coordinates.

The arc length formula for a curve defined by the equation y = f(x) over the interval [a, b] is:

L =\(\int\limits^a_b\)√(1 + (f'(x))²) dx

In this case, we need to find f'(x) and substitute it into the arc length formula.

Given x = (1/3)√y(y - 3), we can solve for y as a function of x:

x = (1/3)√y(y - 3)

3x = √y(y - 3)

9x² = y(y - 3)

y² - 3y - 9x = 0

Using the quadratic formula, we find:

y = (3 ± √(9 + 36x²)) / 2

Since y is non-negative, we take the positive square root:

y = (3 + √(9 + 36x²)) / 2

Differentiating with respect to x, we get:

dy/dx = 18x / (2√(9 + 36x²))

= 9x / √(9 + 36x²)

Now, substitute this expression for dy/dx into the arc length formula:

L = ∫[4,16] √(1 + (9x / √(9 + 36x²))²) dx

Simplifying, we have

L = ∫[4,16] √(1 + (81x² / (9 + 36x²))) dx

L = ∫[4,16] √((9 + 36x² + 81x²) / (9 + 36x²)) dx

L = ∫[4,16] √((9 + 117x²) / (9 + 36x²)) dx

we can use the substitution method.

Let's set u = 9 + 36x², then du = 72x dx.

Rearranging the equation, we have x² = (u - 9) / 36.

Now, substitute these values into the integral

∫[4,16] √((9 + 117x²) / (9 + 36x²)) dx = ∫[4,16] √(u/u) * (1/6) * (1/√6) * (1/√u) du

Simplifying further, we get

(1/6√6) * ∫[4,16] (1/u) du

Taking the integral, we have

(1/6√6) * ln|u| |[4,16]

Substituting back u = 9 + 36x²:

(1/6√6) * ln|9 + 36x²| |[4,16]

Evaluating the integral from x = 4 to x = 16, we have

(1/6√6) * [ln|9 + 36(16)| - ln|9 + 36(4)^2|]

Simplifying further:

L = (1/6√6) * [ln|9 + 9216| - ln|9 + 576|]

Simplifying further, we have:

L = (1/6√6) * [ln(9225) - ln(585)]

Calculating the numerical value of the expression, we find

L ≈ 4.728 units (rounded to three decimal places)

Therefore, the exact length of the curve is approximately 4.728 units.

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--The given question is incomplete, the complete question is given below " Find the exact length of the curve. x=(1/3) √y (y- 3), 4≤y≤16."--

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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The value of the angle x is 67°.

Given that a right triangle with hypotenuse and base equal to 13 and 12 respectively,

We need to find the value of x,

so, here hypotenuse and base are given, we know that cosine of an angle is the ratio of base to the hypotenuse,

So,

Cos x = 12/13

x = Cos⁻¹(12/13)

x = 67°

Hence, the value of the angle x is 67°.

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Answer:

I think the answer is option d

Answer:

Step-by-step explanation:

I plotted this graph on Desmos**

When I plotted the line I got (3,-2) as the point where they intercept.

1st Equation Y=3x-11:
x: 0, 1, 2

y: -11, -8, -5

2nd Equation Y=-2x+4:

x: 0, 1, 2

y: 4, 2, 0

(Hopefully these points are right I went along with the graph I plotted, if wrong, I'm sorry.)

The system of equations can be used to determine the solution. If the snack stand sold double as many hamburgers as hotdogs and made 121.50, 9 hot dogs were sold.

To determine the number of hot dogs sold at a snack stand, we can set up a system of equations based on the given information.

Let's assume the number of hot dogs sold is x and the number of hamburgers sold is 2x (since hamburgers were sold at double the quantity of hot dogs). The revenue from selling hot dogs can be calculated as 3.50x, and the revenue from selling hamburgers can be calculated as 5.00(2x) = 10.00x.

Since the total revenue is $121.50, we can set up the equation 3.50x + 10.00x = 121.50. Combining like terms, we have 13.50x = 121.50. Dividing both sides by 13.50, we find x = 9. Therefore, 9 hot dogs were sold.

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