can you help me with this question

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

correct answer is in the picture attached

Answer:

f(1) = 7

f(4) = -2

Step-by-step explanation:

f(x) = -x² + 2x + 6

Put x = 1

f(1) = -(1)² + 2(1) + 6

f(1) = -1 + 2 + 6

f(1) = 1 + 6

f(1) = 7

Now, Put x = 4

f(4) = -(4)^2 + 2(4) + 6

f(4) = -16 + 8 + 6

f(4) = -16 + 14

f(4) = -2

By comparing the two values, we get to know that f(1) is positive while f(4) is negative.

\(\rule[225]{225}{2}\)

Hope this helped!

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

3: D) 11

4: D) 12

7: C) 63

8: A) Adjacent Angles

Step-by-step explanation:

Let's pretend the sides of a triangle are A B and C.

The third side of a triangle is always greater tham A-B and lesser than A+B. This is called the triangle inequality theorem.

For 7 and 8, we have three lines that come together at one point (adjacent angles), and the vertical angle postulate where two mirrored angles will always have the same angle.

Answer:

It may be 9

Step-by-step explanation:

Solution:

Here,

Median = n+1/2th term

=5+1/2 th term

=6/2 th term

=3rd term

Now,

Arranging the data in ascending order...

Since, 9 is the third term. So, 9 is the median.....

Answer:

\(\frac{4}{7}\)

Step-by-step explanation:

The y -intercept of the given line is \(\frac{4}{7}\);

      y  = x + \(\frac{4}{7}\)

 The equation of any line is y = mx + c;

y and x are the coordinates

m is the slope

c is the y-intercept

             y  = x + \(\frac{4}{7}\)

So   \(\frac{4}{7}\) is the y-intercept

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12

The surface area is 9.8094 square units.

The equation of the curve is given by:

x = f(t) = t^e ...........(i)

y = g(t) = e ..........(ii)

The derivative of x with respect to t is:

dx/dt = et^(e-1) + dt/dt = et^(e-1)

And the derivative of y with respect to t is:

dy/dt = 0 - e^(-t) * dt/dt = -e^(-t)

To find the area of the surface generated by revolving the curve around the x-axis, we use the formula:

A = 2π ∫[a,b] y ds

where ds is the arc length element given by:

ds = sqrt(dx/dt^2 + dy/dt^2) dt

Substituting the values of dx/dt and dy/dt from (iii) and (iv), we get:

\(ds = \sqrt((et^(e-1))^2 + (-e^(-t))^2) dt= \sqrt(e^2t^(2e-2) + e^(2t)) dt\)

Substituting the values of y and ds in the formula for the area, we get:

A = 2π ∫[a,b] e sqrt(e^2*t^(2e-2) + e^(2t)) dt

This integral cannot be solved analytically in general, so numerical methods may be required to obtain an approximate value for the area.

\(\Rightarrow \frac{dy}{dt}=e^{-t}\left (-\frac{d}{dt}t \right )\)

dy

dt

= e-(-1)

\(\Rightarrow \frac{dy}{dt}=-e^{-t}\) ..........(iv)

Now, the area of the surface generated by the revolving given curve in the interval 0≤t≤1 about the x-axis is,

2

lo

2пу

dx

dt

2

dt

dy

dt

+

=\(\int_{0}^{1}2\pi e^{-t}\sqrt{\left (1+e^{t}\right )^{2}+\left (-e^{-t}\right )^{2}}dt\)[From (ii),(iii) and (iv)]

=\(\int_{0}^{1}{\color{Red}2\pi e^{-t}\sqrt{1+2e^{t}+e^{2t}+e^{-2t}}}\: \: dt\)

Now, using the calculator value of the integral is,

\(\int_{0}^{1}2\pi e^{-t}\sqrt{1+2e^{t}+e^{2t}+e^{-2t}}\: \: dt=9.8094\)[Rounded to four decimal places]

Therefore the surface area is 9.8094 square units .

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Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. x = t + e, y=et, ostsi 6'( dt Use a calculator or computer to find the surface area correct to four decimal places.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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Answer:

there are no options

Step-by-step explanation:

there's no image attached

yeah

Step-by-step explanation:

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

x^9 -20x^7 -6x^3 3x^2 13

Step-by-step explanation:

Standard form for polynomials is to order the degrees of the number from highest to lowest, left to right. So, knowing this, we can infer that it goes x^9 - 20x^7 - 6x^3 + 3x^2 + 13. The degree is 9 (highest exponent), and the leading coefficent (number in front of/multiplying highest degree var) is 1.

Answer: (x^9)+(-20x^7)+(-6x^3)+(3x^2)+13

Step-by-step explanation:

Standard form would just be to organize the polynomial in descending order of the degree (..._^3+_^2+_^1+constant)

Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 20.66, \sigma = 2.4\)

The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{21 - 20.66}{2.4}\)

Z = 0.14

Z = 0.14 has a p-value of 0.5557.

1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

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Answer:

a

Step-by-step explanation:

b+(-b)=0

a+0=a

Answer:

12

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

Step 1: Define

|-12|

Step 2: Evaluate

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

1000

Step-by-step explanation:

2×500=1000

hope it helps

The missing side in the similar figure below is 42.

We are given a diagrammatic expression of two triangles and we are asked to find the missing side in a similar triangle. To be able to solve this question, we need to understand what are triangles and the possible types of triangles.

A triangle is a plane figure that has three sides and three angles. The major types of triangles include:

The example of the triangle given is a right-angle triangle and can be solved by using the Pythagoras theorem.

The Pythagoras theorem states that the hypotenuse squared is equal to the sum of the opposite squared and the adjacent squared.

hyp² = opp² + adj²

48² = x² + 24²

2304 = x² + 576

x² = 2304 - 576

x² = 1728

x = √1728

x = 41.57

x ≅ 42

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Answer

y=−3x+10  

The given equation is in slope-y intercept form. The slope is the coefficient of x…which is -3, and the y-intercept is the constant term…+4.

Parallel lines have the same slope. So the correct equation should have a slope of -3. The only change will be the constant term (y-intercept) which needs to be +10. which gives us the equation….y =-3x+10.

Step-by-step explanation:

Answer: 108 meters

Step-by-step explanation:

Area = length x width x height

A = 6 x 6 x 3

Area = 108m

Step-by-step explanation:

the oak tree is 17 years old

Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.

How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?

To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.

Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).

Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.

Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:

Translated according to the rule (x, y) → (x + 8, y + 2)

Reflected across the x-axis.

The other options can be ruled out as they do not correctly reflect the transformation that was applied.

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Answer:

5/6

Step-by-step explanation:

1 1/2 - 2/3 =

= 1 3/6 - 4/6

We cannot subtract 4/6 from 3/6, so we borrow the 1 as 6/6 and add it to 3/6 to get 9/6. Now we can subtract 4/6 from 9/6.

= 9/6 - 4/6

= 5/6

Answer:

9/8 per hour

hope this helps if so please mark me brianliest

Answer:

4x + 6 = 9

4x = 9 -6

4x = 3

x = 3/4