Help please, Before 12 today, Help help help help help

Answer:

3.143 units squared

Step-by-step explanation:

the formula for area of a circle is r^2 x pi

Since the radius is 1 and 1^2 is 1, you would multiply 1 by 3.143 which is 3.143

Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.

The integer that has square root n is given by:

S(n) = n².

Hence the integer that has a square root closest to n is given by:

C(n) = n² - 1.

In this problem, we want the square root closest to n = 7, hence:

C(7) = 7² - 1 = 48.

Which is a different value than 52, hence Alejandro is not correct.

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To sketch the region enclosed by the curves y = sin(x) and y = 5x, we plot the curves and find the bounds of the region. We integrate with respect to x to find the area of the region.

To sketch the region enclosed by the given curves, we first plot the curves y = sin(x) and y = 5x on a coordinate plane.

The curves intersect at two points: (0,0) and (π/6,π/3). The x-coordinates of the bounds of the region are x = 0 and x = π/6. The y-coordinate of the lower bound of the region is y = 0, and the upper bound of the region is y = 5x.

Since the region is bounded by the curves y = sin(x) and y = 5x, we can integrate with respect to x or y. However, since the region is easier to describe in terms of x, we will integrate with respect to x.

A typical approximating rectangle for the region is shown below:

To set up the integral for finding the area of the region, we need to determine the limits of integration. We integrate from x = 0 to x = π/6, and the integrand is given by the difference between the upper and lower bounds of the region:

Area = ∫₀^π/6 (5x - sin(x)) dx

We can evaluate this integral using integration techniques such as integration by parts or numerical methods such as Simpson's rule.

Overall, the region enclosed by the given curves is a triangular region, and we can integrate with respect to x to find its area.

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Answer:

2.5

Step-by-step explanation:

We know that they are similar and that the length of the long side is 3 + 3, which is 6. 6 = 3 times 2, meaning that all values in the big triangle are double the little triangle. That means that 2x = 5, meaning that x = 2.5.

Answer:

Step-by-step explanation:

5s+8/7=4

5s+8=28  multiply sides by 7

5s=20  subtract 8 from sides

s=4  divide sides by 5

Answer:

6/250

Step-by-step explanation:

because whatever the amount is the first time for probability is the same for the second

Answer:

\(10+5\sqrt{3}\)

Step-by-step explanation:

Given the expression: 5 / (2 - √3)

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator. The conjugate of (2 - √3) is (2 + √3). Hence multiplying gives:

\(\frac{5}{2-\sqrt{3} }*\frac{2+\sqrt{3}}{2+\sqrt{3}} \\\\=\frac{10+5\sqrt{3} }{4+2\sqrt{3}-2\sqrt{3}-3 }\\\\Simplifying\ the\ expression:\\\\ =\frac{10+5\sqrt{3} }{1}\\\\= 10+5\sqrt{3}\)

Hence: 5 / (2 - √3) = \(10+5\sqrt{3}\)

The angular acceleration the eyelid undergoes while closing is approximately 13.93 rad/s².

To find the angular acceleration (α) of the eyelid while closing, we can use the equations of rotational motion. The given data is:

Angular displacement (θ) = 13.4 degrees

Time interval for closure (Δt) = 55 ms = 0.055 s

We can use the following equation to relate angular displacement, angular acceleration, and time:

θ = 0.5 * α * t²

Plugging in the values:

13.4 degrees = 0.5 * α * (0.055 s)²

Let's convert the angular displacement from degrees to radians:

θ = 13.4 degrees * (π/180) radians/degree

θ ≈ 0.2332 radians

Now, we can rearrange the equation to solve for α:

α = (2θ) / (t²)

α = (2 * 0.2332 radians) / (0.055 s)²

Calculating the value:

α ≈ 13.93 radians/s²

Therefore, the angular acceleration the eyelid undergoes while closing is approximately 13.93 rad/s².

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Answer

0^0 =1

or

0^0 can be undefined.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

now, going either way the boat travelled the same 18 miles.

\(\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare\)

The equation of the tangent plane to the graph of ln(50z² + 72x²) = y² + 18y at the point (2, 0, 1) is:

z = L(x, y) = (-72/91)(x - 2) - (18y/91) + (25/91).

To obtain the equation of the tangent plane to the graph of ln(50z² + 72x²) = y² + 18y at the point (2, 0, 1), we need to determine the partial derivatives and evaluate them at the provided point.

1. Start by taking the partial derivatives of the equation with respect to x, y, and z:

∂/∂x [ln(50z² + 72x²)] = (144x) / (50z² + 72x²)

∂/∂y [ln(50z² + 72x²)] = 2y + 18

∂/∂z [ln(50z² + 72x²)] = (100z) / (50z² + 72x²)

2. Evaluate the partial derivatives at the point (2, 0, 1):

∂/∂x [ln(50(1)² + 72(2)²)] = (144(2)) / (50(1)² + 72(2)²) = 288 / 364 = 72 / 91

∂/∂y [ln(50(1)² + 72(2)²)] = 2(0) + 18 = 18

∂/∂z [ln(50(1)² + 72(2)²)] = (100(1)) / (50(1)² + 72(2)²) = 100 / 364 = 25 / 91

3. Now we have the normal vector to the tangent plane: (72/91, 18, 25/91).

4. The equation of a plane in the form z = L(x, y) = ax + by + c can be determined by using the point-normal form of a plane equation:

a(x - x₀) + b(y - y₀) + c(z - z₀) = 0,

where (x₀, y₀, z₀) is the point on the plane and (a, b, c) is the normal vector.

Plugging in the values, we get:

(72/91)(x - 2) + 18(y - 0) + (25/91)(z - 1) = 0.

Simplifying, we have:

(72/91)(x - 2) + 18y + (25/91)(z - 1) = 0.

∴ z = L(x, y) = (-72/91)(x - 2) - (18y/91) + (25/91).

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\(Answer:\)

The median is $\(40,000\)

To find a median, find the averaging number, rather the middle number.

The middle number will always be your answer.

Answer:

12x -7

Step-by-step explanation:

Answer:

x = 50

Step-by-step explanation:

5x + 2(3x - 9) = 132 + 8x

5x + 6x - 18 = 132 + 8x

11x - 18 = 132 + 8x

11x - 18 = 8x + 132

11x - 18 + 18 = 8x + 132 + 18

11x = 8x + 150

11x - 8x = 8x - 8x + 150

3x = 150

3x ÷ 3 = 150 ÷ 3

x = 50

Answer:

0.15 as a fraction is 3/20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6

The value of x in the given question is 16.6

A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.

Assuming height of the triangle = y

Sin∅ = opposite/hypotenuse

sin43° = y/39

y= 39sin43°

y = 26.6
From this we will solve the value of x

tan∅ = opposite/adjacent

here adjacent = 26.6 and opposite = x

tan32° = x/26.6

x = 26.6tan32°

x = 16.6

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The researcher should select a sample of at least 69 adults to ensure that the estimate of the mean number of hours spent per week doing community service is within 1.3 hours of the population mean with 99% confidence.

To determine the sample size required for a 99% confidence interval with a margin of error of 1.3 hours and a standard deviation of 3 hours, we can use the formula n = (z² * s²) / E², where z is the z-score corresponding to the confidence level, s is the standard deviation, and E is the desired margin of error.

For a 99% confidence interval, the z-score is 2.576.

Plugging in these values, we get n = (2.576² * 3²) / 1.3²= 69.

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Answer:

a = -24

Step-by-step explanation:

\(30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a\)

Answer:

-24 = a

Step-by-step explanation:

30 - 26 - a/6

Subtract 26 from each side

30 -26 = 26 - a/6 - 26

4 = -a/6

Multiply by -6 on each side

-6 *4 = -a/6 *-6

-24 = a

Given :

Distance travelled , d = 180 miles.

Time taken , t = 4 hours.

To Find :

Speed in feet per minutes.

Solution :

Distance in feet is , d = 180×5280 = 950400 feet.

Time taken , t = 4×60 = 240 minutes.

Speed is given by , \(s=\dfrac{Distance}{Time \ Taken}\)

\(S=\dfrac{950400}{240}\ ft/min\\\\S=3960\ ft/min\)

Hence, this is the required solution.

Answer:

5 x ^2  −  3 x  +  2  =  3 x  −  4 x  −  1  =  − x  −  1

Can't explain, cause it will be more confusing.

The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

Answer:

A

Step-by-step explanation:

The evaluated integral is: \(e^t i + t^5 j + (In(5t) t - t) k + C\)

To evaluate the integral \(\int (e^t i + 5t^4 j + In(5t) k) dt\), we integrate each component of the vector function separately, with respect to t:

\(\int e^t i dt = e^t i + C_1\)

\(\int 5t^4 j dt = t^5 j + C_2\)

\(\int In(5t) k dt = (In(5t) t - t) k + C_3\)

where C₁, C₂, and C₃ are constants of integration.

Therefore, the antiderivative of the vector function is:

\(\int (e^t i + 5t^4 j + In(5t) k) dt = e^t i + t^5 j + (In(5t) t - t) k + C\)

where C is a constant of integration that encompasses all three constants of integration.

Thus, the final answer is:

\(\int (e^t i + 5t^4 j + In(5t) k) dt = e^t i + t^5 j + (In(5t) t - t) k + C\)

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The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.

Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.

In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.

We have to assume that ΔABC and ΔDEF are similar.

If the triangles are similar,

Then the proportionality is:

AB/BC=DE/EF

4/3=12/x

Therefore, the proportionality used in the given diagram is 4/3=12/x.

So, option 4 is correct.

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Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !