a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region

26

Step-by-step explanation:

39/2÷3/4

39/2×4/3

26

Answer:

Okay she purchased 19.5 pints of ice cream and will give 3/4 to each guest.

1. 3/4= 0.75

2. Divide 19.5 to 0.75 19.5/0.75 is 26

3. She can give 26 guests ice cream

Answer:

x<-3

Step-by-step explanation:

Therefore, the correct answer is:

(a) (n+2)Cn+2 = (n-4)Cn - nCn-1

The given differential equation is y" - Ty' + 4y = 0, where T(x) = x.

Assuming a power series solution of the form y = Σ Cn(x-x0)^n about the ordinary point x0 = 0, we can differentiate y twice and substitute it into the differential equation:

y' = ΣnCn(x-x0)^(n-1)

y'' = Σn(n-1)Cn(x-x0)^(n-2)

Substituting these expressions into the differential equation, we get:

Σn(n-1)Cn(x-x0)^(n-2) - xΣnCn(x-x0)^(n-1) + 4ΣnCn(x-x0)^n = 0

Multiplying through by (x-x0)^2 to eliminate the negative exponents, we get:

Σn(n-1)Cn(x-x0)^n - xΣnCn(x-x0)^(n+1) + 4ΣnCn(x-x0)^(n+2) = 0

Now, we can compare the coefficients of like powers of (x-x0) on both sides of the equation. We get:

n = 0: -x0C0 + 4C2 = 0 => C2 = x0C0/4

n = 1: 0 - x0C1 + 8C3 = 0 => C3 = x0C1/8

n = 2: 2C2 - 2x0C3 + 12C4 = 0 => C4 = (7x0^2/48)C0

We can continue this process to find an expression for Cn in terms of C0:

C2 = x0C0/4

C3 = x0C1/8

C4 = (7x0^2/48)C0

C5 = (5x0/64)(C1 - 3C0)

C6 = (11x0^3/1152)C0 + (7x0/576)C2

and so on.

Using this pattern, we can write the general formula for Cn in terms of C0:

Cn = AnC0

where An is a polynomial in n of degree at most n+2. We can find the first few values of An by using the recursion formula obtained above:

A2 = x0/4

A3 = x0/8

A4 = (7x0^2/48)

A5 = (5x0/64)(C1/C0 - 3)

A6 = (11x0^3/1152) + (7x0^3/4608)

Thus, the coefficients Cn satisfy the relation:

(n+2)Cn+2 = (T(n)-4)Cn - nCn-1

Substituting T(x) = x, we get:

(n+2)Cn+2 = (n-4)Cn - nCn-1

which matches with option (a). Therefore, the correct answer is:

(a) (n+2)Cn+2 = (n-4)Cn - nCn-1

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When adjusted to the closest whole integer, the base of the skyscraper has a square footage of roughly 1257 square feet.We must determine the location of the tower's foundation because it has the shape of a right circular cylinder.

Area of base =\(\pi * (radius)^2\)

We must compute the area of the circular base of the right circular cylinder in order to determine the size of the tower's base. A circle serves as the foundation of a cylinder, and the formula to get its area is A = r2, where A stands for area and r for radius.

The cylinder's 40-foot diameter is all that is provided. By dividing the diameter by two, one can determine the radius:

The radius of the tower can be calculated by dividing its 40-foot diameter by its two-foot radius. Thus, we get 20 feet when we split the radius (r) of 40 feet by two.

Radius = \(40 ft / 2 = 20 ft\)

Now we can calculate the area of the base using the formula:

Area of base =\(\pi* (20 ft)^2\)

Using an approximation of π as 3.14159, we can evaluate the expression:

Area of base ≈ \(3.14159 * (20 ft)^2\)

Area of base ≈\(3.14159 * 400 ft^2\)

Area of base ≈ \(1256.636 ft^2\)

Using an approximation of π as 3.14, we can calculate the area by multiplying 3.14 by 400. This gives us an approximate value of 1256 square feet for the area of the base of the tower.

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Answer:

82,810 crayons in 70days

Answer:

31.5

cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3

Answer:

3s

Step-by-step explanation:

Given:

Jim is twice as old as his sister.

His sister's age is signified by the variable s.

∴ Jim's age is 2s.

You are trying to find the sum of both their ages, or add them together:

2s + s

Simplify. Combine like terms:

2s + s = 3s

3s is the expression you will use to find the sum of their ages.

1 3/4 = 1.75

13/4 = 3 1/4

3 1/4 = 3.25

1.75 < 3.25

1 3/4 < 13/4

The steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are 16, 384, 12, 436, 448.

To solve the expression 8 x 3 (4213) + 52 + 4 x 3 using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), the steps should be performed in the following order:

Start by simplifying the expression within the parentheses: 4213 = 16.

Expression becomes: 8 x 3 x 16 + 52 + 4 x 3

Perform the multiplication operations from left to right:

8 x 3 x 16 = 384

Expression becomes: 384 + 52 + 4 x 3

Continue with any remaining multiplication operations:

4 x 3 = 12

Expression becomes: 384 + 52 + 12

Perform the addition operations from left to right:

384 + 52 = 436

Expression becomes: 436 + 12

Finally, perform the remaining addition operation:

436 + 12 = 448

Therefore, the steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are:

16, 384, 12, 436, 448.

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a) To calculate the pressure drop parameter (α) in case (1), we can use the following equation:

α = (ΔP / P_inlet) * (V_inlet / V_outlet)
where:
ΔP = Pressure drop (P_inlet - P_outlet)
P_inlet = Inlet pressure
V_inlet = Inlet volumetric flow rate
V_outlet = Outlet volumetric flow rate

In this case, the volumetric flow rate at the outlet is 6 times the volumetric flow rate at the inlet. Let's assume the inlet volumetric flow rate (V_inlet) is V dm³/min. Therefore, the outlet volumetric flow rate (V_outlet) would be 6V dm³/min.
Now, let's substitute the values into the equation and solve for α:
α = (ΔP / P_inlet) * (V_inlet / V_outlet)
α = (P_inlet - P_outlet) / P_inlet * V_inlet / (6V)
α = (P_inlet - P_outlet) / (6P_inlet)

b) To calculate the conversion in case (1), we need to use the following equation:

X = (V_inlet - V_outlet) / V_inlet

where: V_inlet = Inlet volumetric flow rate

V_outlet = Outlet volumetric flow rate
In case (1), we already know that V_outlet = 6V_inlet.

Let's substitute the values into the equation and solve for X:
X = (V_inlet - 6V_inlet) / V_inlet
X = -5V_inlet / V_inlet
X = -5

c) In case (2), the volumetric flow rate remains unchanged. This means that V_outlet = V_inlet.

To calculate the conversion in case (2), we can use the same equation as in case (1):
X = (V_inlet - V_outlet) / V_inlet
Substituting V_outlet = V_inlet into the equation, we get:
X = (V_inlet - V_inlet) / V_inlet
X = 0

d) In case (1), the pressure drop parameter (α) is calculated to be (P_inlet - P_outlet) / (6P_inlet). The negative conversion value (-5) indicates that the reaction has not occurred completely and there is some unreacted A and B remaining.
In case (2), the conversion is calculated to be 0, indicating that no reaction has occurred. This is because the volumetric flow rate remains unchanged, and therefore, there is no change in the reactant concentration.

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The absolute error of the veterinarian's estimate is: 0.4 kg

The Percentage error the veterinarian's estimate is: 5.7%

Given:

x = 7.4 kg

x0 = 7 kg

Absolute error = |7 - 7.4| = 0.4 kg

Percentage error = 0.4/7 × 100 = 5.7%

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2√5 exact form

4.47213595 decimal form

Answer:

a) It would take 52 seconds.

b) That  altitude will be 7 093.

Step-by-step explanation:

a) x= The seconds

=> 65,5X+3687=40,25X+5000

<=> 25,25x=1313

<=> x= 52

b) 65,5.52+3687=7093

Answer:

y=3x2−2x+2

Step-by-step explanation:

Standard form of equation of a parabola is \(y=ax^2+bx+c\)

As it passes through points (−2,18), (0,2) and (4,42), each of these points satisfies the equation of parabola and hence

18=a⋅4+b⋅(−2)+c or 4a−2b+c=18 ........(A)

2=c ........(B)

and 42=a⋅16+b⋅4+c or 16a+4b+c=42 ........(C)

Now putting (B) in (A) and (C), we get

4a−2b=16 or 2a−b=8 and .........(1)

16a+4b=40 or 4a+b=10 .........(2)

Adding (1) and (2), we get 6a=18 or a=3

and hence b=2⋅3−8=−2

Hence equation of parabola is \(y=3x^2 -2x+2\) and it appears as shown below

graph{3x^2-2x+2 [-10.21, 9.79, -1.28, 8.72]}

The statement that correctly compares the two functions include the following: D. They have different y-intercepts but the same end behavior.

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph and the functions shown in the image attached above, we can reasonably infer and logically deduce the following y-intercepts:

y-intercept of f(x) = (0, 4).

y-intercept of g(x) = (0, 8).

Additionally, the end behavior of both functions f(x) and g(x) is that as x tends towards infinity, f(x) and g(x) tends towards zero:

x → ∞, f(x) → 0.

x → ∞, g(x) → 0.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

12cm³

Step-by-step explanation:

1/2x2x6x2=12cm³

Answer:

6x2 well the answer is 24 so like

Step-by-step explanation:

The total of five terms of the series we need to add in order to find the sum to the indicated accuracy.

A series called convergent  if the sequence of it's own partial sums tends to the a limit; that is, when addition one after the other with in order specified by the indices, partial sums become increasingly closer to a certain number.

Step1: The given series is a alternating series;

\(\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^{6}}\)

where \(a_{n}=\frac{1}{n^{6}}\) is decreasing monotonically with n>1.

Thus, the given alternating series is convergent series.

As a result, we determine the smallest n such that; \(a_{n}\) < 0.00005.

Thus, it is concluded that the total of the series' first n-1 terms approximates the sum within in the allowed error.

Step 2: We must discover the smallest n such that,

\(\begin{aligned}\frac{1}{n^{6}} & < 0.00005 \\\frac{1}{n^{6}} & < \frac{5}{100000}\end{aligned}\)

Taking reciprocal both side,

Because both side is positive, the inequality is reversed.

\(\begin{aligned}n^{6} & > \frac{100000}{5} \\n^{6} & > 20000\end{aligned}\)

Use hit and trial to get the result.

         \(\begin{gathered}a_{2}=2^{6}=64 \\a_{3}=3^{6}=729 \\a_{4}=4^{6}=4096\end{gathered}\)

\(\begin{gathered}a_{5}=5^{6}=15625 \\a_{6}=6^{6}=46656 \quad( > 20000)\end{gathered}\)

The smallest integer that fulfils this inequality gets satisfied is n=6.

As a result, n=6 is the lowest amount with an inaccuracy of less than 0.00005.

Therefore, to calculate the sum inside that allowed error, we simply have to add the very first five terms in the series.

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The complete question is-

Show that the series is convergent. How many terms of the series do we need to add in order to find the sum to the indicated accuracy? \(\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^{6}}\)

The parametric equations (x, y) = (t - 1, t^2 - 1) describe a curve that is a polynomial of degree 2, which corresponds to option B.

In the given parametric equations, the x-coordinate is defined as x = t - 1, and the y-coordinate is defined as y = t^2 - 1. These equations show that both x and y are expressed as functions of t. When we eliminate the parameter t, we can rewrite the equations in terms of x and y only.

Rearranging the first equation, we have t = x + 1. Substituting this expression for t into the second equation, we get y = (x + 1)^2 - 1. Expanding and simplifying, we have y = x^2 + 2x.

The resulting equation, y = x^2 + 2x, represents a polynomial of degree 2, also known as a quadratic equation. The graph of this equation is a parabola. Thus, the given parametric equations describe a curve that is a polynomial of degree 2, which corresponds to option B.

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Answer:she will have 4.44 ounces of cornstarch left

Step-by-step explanation: 1 pound=16 ounces 16*5=80 ounces 80 ounces equal 5 pounds then you divide 80 by 18 and your answer should come out as 4.44 ounces

Amount of cornstarch left is 8 ounce

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

Total amount of cornstarch = 5 pound

Find:

Amount of cornstarch left

Computation:

Amount of total cornstarch to student = Each student get × Total number of student

Amount of total cornstarch to student = 4 × 18

Amount of total cornstarch to student = 72 ounce

1 pound = 16 ounces

So,

Total amount of cornstarch = 5 × 16

Total amount of cornstarch = 80 ounces

Amount of cornstarch left = 80 - 72

Amount of cornstarch left = 8 ounce

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Parallel to the line:

\({\sf{2y = x + 1}}\)

\({\sf{y = \frac{x}{2} + \frac{1}{2 }}} \)

Hence Slope:

\({\sf{\large{\frac{1}{2}}}}\)

The slope of line of which equation we need is parallel to the line given. Therefore, it's slope also is (m):

\({\sf{\large{\frac{1}{2}}}} \)

Also, the line passes through the points (4, 1)

Therefore by the formula of

\({\sf{(y - y1) = m(x - x1)}}\)

we have:

\({\sf{(y - 1) = \frac{1}{2} (x - 4) }}\)

\({\sf{2y - 2 = x - 4}}\)

\({\sf{x - 4 - 2y + 2 = 0}}\)

\({\sf{\red{\boxed{\sf{x - 2y - 2 = 0}}}}}\)

Answer:

b

Step-by-step explanation:

the 80 degrees one and y are the same

Answer:

y=80 degrees

Step-by-step explanation:

The corresponding angles and opposite angles are equal to each other because of the parallel lines.

Answer:

The answer is...

Step-by-step explanation:

220 - 50 is 170. So know you know how much money he wants plus to his salary. 170/5 is 34.

x=34

Answer:

5x + 50 ≥ 220

5x ≥ 220 - 50

Step-by-step explanation:

The at least inequality sign for 220 is: ≥ 220

5x + 50 ≥ 220

5x ≥ 220 - 50

Answer:

Its in standard form I think. Y intercept is 0,0

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

6x + 11 + 7x + 143 = 180

13x + 154 = 180

13x = 26

x = 2

m<RPS = 6(2) + 11 = 23

Answer:false

Step-by-step explanation:

The ratio of rectangle A to rectangle B is 9 to 11

The area of rectangle A is:

The area of rectangle B is:

The ratio of rectangle A to rectangle B is:

18/22

= 9/11

The area is 9 to 11

Answer:

0.6°

Step-by-step explanation:

The sum of exterior angles in a polygon is always equal to 360 degrees. For all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

360/600=0.6

Explanation:

Given point: (2, -4)

A movement to the right will be an addition to the x coordinate

y coordinate = -4

x coordinate = 2

8 units to the right implies an addition of 8 units to the x-coordiante

new x - coordinate = 2 + 8 = 10

The new coordinate (x, y) = (10, -4)

plotting on the graph:

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

b) semicircle