if the curved surface area only of a solid hemisphere is 2772 sqcm. then find its total surface area to the nearest square unit.

The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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Answer:

Because people fight over the best deals that the store would have to offer... hell with it i chose violence when there were 3 black shirts just because i run a designer company.

Step-by-step explanation:

Sampling errors  cannot be measured statistically.

A sampling error can be described a the statistical error  which do take place when an analyst does not select a sample  which represents the entire population of data.

It should be noted that due to this type of error,  the results that can be gotten from this sample do not represent the results that can be associated with the entire population.

In conclusion, Sampling errors  cannot be measured statistically.

Therefore, the first option is correct.

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Answer:

-9+6y

Step-by-step explanation:

:)

Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

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Answer:

Answer below:

Step-by-step explanation:

Total = 12

Green = 6

So this means 6/12 or 0.5 as a decimal

THERE'S A 50 PERCENT CHANCE

Give brainiest please

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The statement that f has a simple zero at z=0 and vanishes nowhere else in |z|≤1 implies that the function f is non-vanishing and has a derivative that does not vanish at z=0.

From this, we can use the Implicit Function Theorem which states that if f is holomorphic in a neighborhood of a point (a,b) and f(a,b)=0 and ∂f/∂y(a,b)≠0, then there exists an open neighborhood U of a and a unique holomorphic function g:U→R such that g(a)=b and (x,g(x)) is a solution of the equation f(x,y)=0 for all x in U.

In this case, since f(z) has a simple zero at z=0 and f'(0)≠0, by the Implicit Function Theorem, there exists an open neighborhood U of 0 and a unique holomorphic function h:U→C such that h(0)=0 and f(h(ϵ))=0 for all ϵ in U. Hence, fϵ(z) has a unique zero in |z|≤1.

Also, since f and g are holomorphic in a region containing the disc |z|≤1 and ϵ is continuous, it follows that fϵ is holomorphic in the same region. Thus, by the holomorphicity of fϵ and h, the mapping ϵ↦zϵ is continuous.

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Surface area of A = 50 square inches, S.A of B = 120 square inches, S.A of C = 60 square inches, S.A of D = 50 square inches, S.A of E = 60 square inches, S.A of F = 120 inches.

S.A of the box = 460 square inches.

A cuboid is a three dimensional solid shape made of 6 rectangles.

Analysis:

surface area of A = surface area of D which is the smallest from the diagram = 5 x 10 = 50 square inches

surface area of C = surface area of E = the second largest = 5 x 12 = 60 square inches

surface area of B = surface area of F = 10 x 12 = 120 square inches

surface area of shape = 2( 50 + 60 = 120) = 2(230) = 460 square inches.

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Answer:

First u get the Y by itself then you read the less than or equal to or greater than or equal to.

Step-by-step explanation:

hope it helps

An appropriate reorder point would be 3464 units.

Lead time for one of Henry Productioris' fastest-moving products is 4 days. The demand per day averages to 866 units. We have to determine the appropriate reorder point. Here, the appropriate reorder point is given by the formulae:ROP = (Lead time x Daily demand) + Safety stock ROP = (4 days x 866 units/day) + Safety stock ROP = 3464 + Safety stock Let us say we want to have a 99 percent service level. The safety stock will be given by the formula: Safety stock = Z-score x Standard deviation of lead time demand= 2.33 x sqrt (Variance of lead time demand)We can determine the variance of lead time demand using the formula: Variance of lead time demand = Lead time x Variance of daily demand, Variance of lead time demand = 4 days x 0Variance of lead time demand = 0Therefore, the safety stock will be 0 in this case. Thus, the appropriate reorder point is given by: ROP = 3464 + 0ROP = 3464 units. Hence, an appropriate reorder point would be 3464 units.

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The height of the right triangle is 60 cm.

Let the length of the base of the right triangle be 'b' cm. According to the problem, the height 'h' of the triangle is 3 times the length of the base, which can be represented as h = 3b cm.

The formula for the area of a right triangle is given by Area = 1/2 * base * height (A = 1/2 * b * h).

Given the area (A) as 600 cm², we can substitute the values in the formula:

600 = 1/2 * b * (3b)

solve for 'b':

600 = 1/2 * 3b²

1200 = 3b²

b² = 400

b = √400 = 20 cm (ignoring the negative value since it represents a length)

find the height 'h':

h = 3b = 3 * 20 = 60 cm

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The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the

multiplication of the terms. The error is therefore;

3. Calculating errors when distributing -1

The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;

(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3

Which gives;

-4·h³ - 33·h² + 31·h - 3

The calculation is therefore;

\(\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right]\)

The error is therefore, in the distribution of the -1

The correct option is;

3. Calculating errors when distributing -1

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Answer:

y=-1.5x+0.5 or y+1.5x-0.5=0

Answer:

Step-by-step explanation:

To get from blue to red you need to multiply the blue dimensions by 1.5.

4*x = 6       Divide by 4

x = 6/4

x = 1.5

The surface area is a different ball game.

SA of the blue figure

Surface area of 1 side = 4 *  4 = 16

The total surface area = 16* 6 = 96

SA of the red figure

Surface area of 1 face = 6*6

Surface area of  6 faces = 6 * 36 = 216

So what's the ratio ?

Ratio = red surface area/ blue surface area

Ratio = 216 / 96 = 2.25

Notice that if you square the dimensional ratio, you get the area ratio

1.5^2 = 2.25

Answer:

Step-by-step explanation:

First table:(left)

(1, 15) (2, 30)

(30 - 15)/(2 - 1) = 15/1 = 15

y - 15 = 15(x - 1)

y - 15 = 15x - 15

y = 15x

Second table:(right)

(0, 10)  (1, 25)

(25 - 10)/(1 - 0)= 15/1= 15

y - 10 = 15(x - 0)

y - 10 = 15x - 0

y = 15x + 10

the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

To find the equation of the tangent to the curve at the point where x = 1, we need to determine the slope of the tangent at that point and then use the point-slope form of a line to find the equation.

First, let's find the slope of the tangent. We can do this by finding the derivative of the function f(x) = x√(1 + 3x²) and evaluating it at x = 1.

f(x) = x√(1 + 3x²)

Taking the derivative of f(x) with respect to x:

f'(x) = √(1 + 3x²) + x * (1/2√(1 + 3x²)) * (6x)

Now, we can evaluate f'(x) at x = 1:

f'(1) = √(1 + 3(1)²) + 1 * (1/2√(1 + 3(1)²)) * (6(1))

Simplifying this expression:

f'(1) = √(1 + 3) + (1/2√(1 + 3)) * 6

f'(1) = √4 + (1/2√(4))* 6

f'(1) = 2 + (1/2)(2) * 6

f'(1) = 2 + 1 * 6

f'(1) = 2 + 6

f'(1) = 8

So, the slope of the tangent at x = 1 is 8.

Now that we have the slope, we can use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Where:

m is the slope

(x₁, y₁) is the point on the line (x = 1, f(1))

Using the point-slope form, we can write the equation of the tangent:

y - f(1) = 8(x - 1)

Now, substitute the value of f(1) into the equation:

y - f(1) = 8(x - 1)

y - f(1) = 8x - 8

Since we know that f(1) = 1√(1 + 3(1)²), we can substitute it into the equation:

y - √(1 + 3(1)²) = 8x - 8

y - 2 = 8x - 8

y = 8x - 6

Therefore, the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

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The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

The correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The algebraic representation of the statement 15 is what percent of 40 is:

40 (x/100) = 15

40x / 100 = 15

40x = 1500

x = 1500/40

x = 37.5

Hence, the correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

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The circumference of a circle with a radius of 3 ft is greater than the distance around a semicircle with a diameter of 16 ft by approximately 2.84 ft.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For the given circle with a radius of 3 ft, the circumference would be C = 2π(3) = 6π ft.

The distance around a semicircle is calculated by finding half the circumference of the corresponding full circle. In this case, the diameter of the semicircle is 16 ft, which means the corresponding full circle has a radius of 8 ft. The circumference of the full circle is C = 2π(8) = 16π ft. Therefore, the distance around the semicircle is half of that, which is 8π ft.

Comparing the two values, 6π ft is greater than 8π ft by approximately 2.84 ft. Hence, the circumference of the circle with radius 3 ft is greater than the distance around the semicircle with a diameter of 16 ft by approximately 2.84 ft.


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Answer:

x = 5

Step-by-step explanation:

18x = 117 - 27

18x = 90

x = 90/18

x = 5

Answer:

18x + 27 = 117

collect like terms

18x = 117 - 27

18x = 90

divide both sides by 18

x = 5

Answer:

its so easy is D

Step-by-step explanation:

Answer:

it so very easy is D is 40 clients

The standard deviation of the return on Portfolio1 invested 40% in Stock 1 and 60% in Stock 2 is 0.83%.

To calculate the expected return of Portfolio1, we can use the formula:

Expected return of Portfolio1 = (Weight of Stock 1 x Rate of return of Stock 1) + (Weight of Stock 2 x Rate of return of Stock 2)

Using the given information, we have:

Expected return of Portfolio1 = (0.4 x 3%) + (0.6 x 8%) = 1.2% + 4.8% = 6%

Therefore, the expected return of Portfolio1 invested 40% in Stock 1 and 60% in Stock 2 is 6%.

To calculate the standard deviation of the return on Portfolio1, we need to calculate the variance first. The variance formula for a portfolio is:

\(Variance of Portfolio1 = (Weight of Stock 1)^2 x Variance of Stock 1 +\)\((Weight of Stock 2)^2 x Variance of Stock 2 + 2 x Weight of Stock 1\) \(x Weight of Stock 2 x Covariance between Stock 1 and Stock 2\)

The covariance between Stock 1 and Stock 2 can be calculated using the formula:

\(Covariance between Stock 1 and Stock 2 = Correlation between Stock 1\) and\(Stock 2 x Standard deviation of Stock 1 x Standard deviation of Stock 2\)

The correlation between Stock 1 and Stock 2 is not given, so we assume it to be 0. This means that the returns of Stock 1 and Stock 2 are not correlated with each other.

Using the given information, we have:

Variance of Stock 1 = (0.2 x (3% - 6%)^2) + (0.8 x (10% - 6%)^2) = 0.68%

Variance of Stock 2 = (0.2 x (2% - 6%)^2) + (0.8 x (8% - 6%)^2) = 1.44%

Covariance between Stock 1 and Stock 2 = 0 x SQRT(0.68%) x SQRT(1.44%) = 0

Using these values, we can calculate the variance of Portfolio1:

Variance of Portfolio1 = (0.4)^2 x 0.68% + (0.6)^2 x 1.44% + 2 x 0.4 x 0.6 x 0 = 0.696%

Finally, the standard deviation of Portfolio1 can be calculated by taking the square root of the variance:

Standard deviation of Portfolio1 = SQRT(0.696%) = 0.83%

Therefore, the standard deviation of the return on Portfolio1 invested 40% in Stock 1 and 60% in Stock 2 is 0.83%.

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Answer:

Step-by-step explanation:

amama

Answer:

585 is the answer of your question.

Step-by-step explanation:

because formula is

Mp _ d% of mp

The molecular formula of the molecule is C4H10O. The molecule has an oxygen atom in it, so we can assume that the molecule is an alcohol.

The alcohol has four carbon atoms which suggest that it is butanol. Since there are four carbon atoms, we must determine the position of the hydroxyl group. The alcohol must be placed on the second carbon atom since it is numbered from the end of the carbon chain that is nearest to the hydroxyl group. The complete and correct name of the molecule is 2-butanol.The molecular formula of the molecule is C5H12. The molecule has no functional group in it, so it is an alkane. The alkane has five carbon atoms, and it is named pentane. Since there is no functional group to indicate stereochemistry, we assume that the molecule is a straight-chain pentane. molecule is n-pentane.

The molecular formula of the molecule is C5H10. The molecule has no functional group in it, so it is an alkene. The alkene has five carbon atoms, and it is named pentene. Since there is no functional group to indicate stereochemistry, we assume that the molecule is a straight-chain pentene. The double bond is located between the second and third carbon atoms.

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Answer:

Step-by-step explanation:

To find the next 3 terms in this geometric sequence, we need to first find the common ratio (aka the number you multiply in to get from one term in the sequence to the next). We find that if we multiply 54 by 3, we get to 162. If we multiply 162 by 3, we get to 486. Therefore, our common ratio is 3. Continuing on with this process,

486*3=1458

1458*3=4374

4374*3=13122

The next three terms in each geometric sequence 54, 162, 486 are 1458, 4374, and 13122.

The sequence given is a geometric sequence, which means that each term is obtained by multiplying the previous term by a constant factor. To determine the next three terms in the sequence, we must first determine the common ratio (r) by dividing any term by its preceding term:

r = 162/54 = 3

Similarly, r = 486/162=3

We can use this common ratio to find the next three terms:

To find the fifth term, we multiply the fourth term by the common ratio: 486 x 3 = 1458.

To find the sixth term, we multiply the fifth term by the common ratio: 1458 x 3 = 4374.

To find the seventh term, we multiply the sixth term by the common ratio: 4374 x 3 = 13122.

Therefore, the next three terms in the sequence are 1458, 4374, and 13122.

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negative times negative =postive

so 57 +13 = 70