what is 8/15 divided by 1/3?

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

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Answer:

44.35

Step-by-step explanation:

i did it

Answer:

\(A=157.07\ cm^2\)

Step-by-step explanation:

Given that,

The radius of a cylinder, r = 5 cm

Height of the cylinder, h = 5 cm

We need to find the lateral surface area of the  cylinder. The formula for the lateral surface area of the cylinder is given by :

\(A=2\pi r h\)

Put all the values,

\(A=2\pi\times 5\times 5\\\\=157.07\ cm^2\)

So, the lateral surface area of the cylinder is \(157.07\ cm^2\).

Answer:

y = -3x+7

Step-by-step explanation:

i hope this helps :)

Answer: \(\sqrt41\)

Step-by-step explanation: Khan Academy

Answer:

B) 34°

Step-by-step explanation:

Answer:

B) 34°

Step-by-step explanation:

∠B = 180° - 144°

∠B = 36°

∠D = 180° - (110° + 36°)

∠D = 180° - 146°

∠D = 34°

The correct answer is:

0.025 P-value < 0.05

In statistical hypothesis testing, the P-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a test statistic as extreme as the one calculated from the sample data, assuming the null hypothesis is true.

In this case, we have a right-tailed test, which means we are interested in the upper tail of the F-distribution. The test statistic is calculated as F = 2.97, with degrees of freedom for the numerator (d.f.N.) = 9 and degrees of freedom for the denominator (d.f.D.) = 14.

Using Table H (which provides critical values for the F-distribution), we can determine the P-value interval. In this table, we find the column for d.f.N. = 9 and locate the row that corresponds to d.f.D. = 14. The intersection of these values gives us the critical value, which is 0.025.

Since the F-value of 2.97 is greater than the critical value of 0.025, the P-value is less than 0.05. Therefore, we can conclude that 0.025 < P-value < 0.05, indicating strong evidence against the null hypothesis.

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Answer:

89.99

Step-by-step explanation:

u add i48934yr84 r84

Roberta paid the amount of $47.19 for the curtains before the sales tax.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.

To determine the amount for the curtains before the sales tax

According to the given conditions, the solution would be as:

⇒ 58.99 × (1 - 20%)

⇒ 58.99 × (1 - 0.20)

Calculate the sum or difference and we get

⇒ 58.99 × 0.80

Apply the multiplication operation to get

⇒ 47.192

Round the number nearest to the hundredth,

⇒ 47.19

Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.

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1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

The difference quotient for the function f(x) is \(h+2x-7\)

Given :

Difference quotient formula

\(\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\)

Given function \(f(x) = x^2 - 7x + 8\)

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

\(f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8\)

Now replace it in our formula and also replace f(x)

\(\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7\)

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Answer:

n = 6

Step-by-step explanation:

Let's convert the x and y values into (x,y) form.

(x, y) ⇒ (3, 5), (4, 7), (n, 11), (8, 15)

Now, let's find the rule in slope intercept form. To find the equation in slope intercept form, pick any two points. Then find the slope of the line.

⇒ (3, 5) and (4, 7)

Now, find the slope using the slope formula.

\(\dfrac{y_{2} - y_1}{x_2 - x_1} = \text{Slope}\)

\(\rightarrow \dfrac{7 - 5}{4 - 3} = \text{Slope}\)

\(\rightarrow \dfrac{2}{1} = 2 =\text{Slope}\)

Now, let's use point slope form to find the equation in slope intercept form.

\(y - 5 = 2(x - 3)\)

\(\rightarrow y - 5 = 2x - 6\)

\(\rightarrow y = 2x - 1 \ \ \ \ \ (\text{Rule})\)

Now, substitute the value of y into the equation.

\(11 = 2x - 1\)

\(\rightarrow 12 = 2x\)

\(\rightarrow \boxed{x = n = 6}\)

Take two points find equation

Slope:-

Equation in point slope form

Now put n

The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)

What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Product of 6 and the square of a number is increased by 5 times the number, he result is 4.

Consider x as the number,

The question can be written as:

\(6(x^{2} )+5(x)=4\)

\(6(x^{2} )+5(x)-4=0\)

Hence, the answer for the given question is \(6x^{2} +5x-4=0\).

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Answer:

Your answer is 8.

Answer:

Step-by-step explanation:

-24

The number of students who offer three subjects is 11.  

Given that, In a class of 100 students,35 students offer History (H),43 students offer Geography (G) and50 students offer Economics (E).

14 students offer History and Geography,13 students offer Geography and Economics,11 students offer History and Economics.

Let X be the number of students who offer three subjects (H, G, E).Then the number of students who offer only two subjects = (14 + 13 + 11) - 2X= 38 - 2X

Now, the number of students who offer only one subject

= H - (14 + 11 - X) + G - (14 + 13 - X) + E - (13 + 11 - X)

= (35 - X) + (43 - X) + (50 - X) - 2(14 + 13 + 11 - 3X)

= 128 - 6X

The number of students who offer none of the subjects

= 100 - X - (38 - 2X) - (128 - 6X)

= - 66 + 9X

From the given problem, it is given that the number of students who offer none of the subjects is four times the number of those who offer three subjects.

So, -66 + 9X = 4XX = 11

Hence, 11 students offer three subjects.

Therefore, the number of students who offer three subjects is 11.

In conclusion, the number of students who offer three subjects is 11.

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Answer:

B. 3× 2/4

______________

It should be noted that a polygon is a flat two dimensional closed shape that has straight sides.

Your information is incomplete. Therefore, an overview of a polygon will be given.

A polygon simply means a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.

In this case, the length of a line segment can be measured by simply measuring the distance between the two endpoints.

It's simply the path between two points that has a definite length that can be measured.

Examples of polygon include triangles, quadrilateral, pentagon, etc.

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The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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The perimeter of rectangle B can be determined based on the given information that the area of rectangle A is equal to the area of rectangle B. However, additional information, such as the lengths of the sides of rectangle B, is needed to calculate its perimeter accurately.

To find the perimeter of rectangle B, we require the lengths of its sides. The given information states that the area of rectangle A is equal to the area of rectangle B, but it does not provide specific measurements for rectangle B. The area of a rectangle is calculated by multiplying its length and width. Therefore, if we have the lengths of the sides of rectangle B, we can calculate its area and use that information to determine the perimeter. Without the measurements of the sides of rectangle B, we cannot accurately calculate its perimeter based solely on the given information.

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Regression equations are used to represent the relationship between the x and y variables.

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be \(\mathbf{y =-6.407 X^2 +216.721 X -975.561}\)

When the selling price is $14.25, it means that:

\(\mathbf{x = 14.25}\)

So, we have:

\(\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}\)

Evaluate the exponents

\(\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}\)

Evaluate the products

\(\mathbf{y =-1301.0214375+3088.27425 -975.561}\)

Evaluate like terms

\(\mathbf{y =811.6918125}\)

Approximate to the nearest dollar

\(\mathbf{y =812}\)

Hence, the profit for a selling price of $14.25 is $812

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Eric will have enough fencing for the following measurements

B. length = 20 yards

width = 5 yards

C. width = 12 yards

perimeter = 48 yards

D. length = 26 yards

area = 22 square yards

For fencing the material Eric has which is 54 yards, is the perimeter of the  flower bed

checking for perimeter using the formula

P = 2 * (length + width)

Also solving for other dimensions when area is given the formula is

= length * width

Values less than 54 yards is within Eric's range

A.  the width is 300 / 30 = 10 and perimeter = 2 * (30 + 10) = 80 yards

B. P = 2(20 + 5) = 50 yards

C. perimeter is given as 48 yards already

D. width = 22 / 26 = 0.846, P = 2 * (26 + 0.846) = 53.692  

E P = 2(16 + 14) = 60 yards

F. P = 162 yards

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Answer:

The answer is... B 9.8%

Answer:

0 an negative 3

Step-by-step explanation:

i think that's it

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

\(S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} \)

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

The profit exceeds the cost as y > 1000 + 15x. So, option 1 is correct.

Gaining anything is known as profit. When the Selling price ( SP ) of the product is more than the cost price ( CP ) of the product, we gain profit. Opposite to the profit is loss i.e. losing anything is called loss. When the Selling price ( SP ) of the product is less than the cost price ( CP ) of the product, we get a loss.

Profit can be calculated by the formula,

Profit   =   Selling Price - Cost price

      P   =   SP - CP

Loss can be calculated by the formula,

Loss   =   Cost price - Selling price

    L    =   CP - SP

As per the question,

⇒  When y > 1000 + 15x, then profit exceeds cost:

Therefore, the graph in the 1st option is correct as the profit exceeds the cost.

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The complete question is

There are a couple of ways to approach this problem, but one common method is to use multiplication.

If there are 275 houses in one village, then the total number of people living in that village is:

275 houses x 1 household / house = 275 households

Assuming that each household has an average of 3 people (which is just an estimate), then the total number of people living in one village is:

275 households x 3 people / household = 825 people

To find the total number of people living in three such villages, we can multiply the number of people in one village by 3:

825 people / village x 3 villages = 2475 people

Therefore, there are approximately 2475 people living in three villages with 275 houses each.

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Answer:

C. Move left

Step-by-step explanation:

By default, the equation of the parabola starts at (0,0) and you can see it clearly translates itself to the left by -3 units on the x-axis.

Answer:

Cada parcela tendrá una extensión de 150 metros cuadrados.

Step-by-step explanation:

De acuerdo con el enunciado el huerto escolar tiene una extensión de 4 decámetros y 500 metros cuadrados.

Tengamos presente que un decámetro es igual a 100 metros cuadrados, entonces el huerto escolar tiene un área total de 900 metros cuadrados. Si dividimos esa área en seis parcelas de igual extensión, tenemos que:

\(x = \frac{900\,m^{2}}{6}\)

\(x = 150\,m^{2}\)

Cada parcela tendrá una extensión de 150 metros cuadrados.

Answer:

0.5

Step-by-step explanation:

sana panget kayong lahat

Answer:

$375

Step-by-step explanation:

Given the following :

Amount owed after three months of payment = $22,275

Amount owed after 12 months = $18,900

What was her average payment rate on the principal of the car loan during this time?

We can obtain the amount paid between the third month and the 12th months ;

(Amount owed after 12 months - amount owed after 3 months)

= ($22,275 - $18,900)

= $3,375

Number of months for which the payment above was made :

(12 - 3) = 9 months

Payment per month :

Amount paid / number of months

= 3375 / 9

=$375 per month