Select the correct answer.
The graph represents the number of hours that Walter sleeps in terms of the number of days.

Answer:

the answer I got is 4.71 x 10^9

r ≈ 3.8 mm, which corresponds to answer choice (c). So, the radius of the cone is approximately 3.8 mm.

We can use the formula for the volume of a cone, V = (1/3)πr^2h, where V is the volume, r is the radius, h is the height, and π is approximately 3.14. Substituting the given values, we get:

300 = (1/3)πr^2(7)

Simplifying, we get:

900 = πr^2(7)

Dividing both sides by 7π, we get:

r^2 = 900/(7π)

Taking the square root of both sides, we get:

r = √(900/(7π))

Using a calculator, we get:

r ≈ 3.82 mm

Therefore, the answer is c. 3.8 mm.

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Answer:

6/24 - 1/4

Step-by-step explanation:

Answer:

Fraction = \(\frac{1}{20}\) and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

\(\frac{5}{100} = \frac{1}{20}\)

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

The explicit solution to the given initial value problem

y′=(1−y)5/4 with y(0)=0 is

y(x) = \(1 - (1 - e^x)^4/5\)

The given first-order differential equation is separable, which means that we can separate the variables and write the equation in the form

\(dy/(1-y)^(5/4) = dx.\)

Integrating both sides, we get \((1-y)^(-1/4)\) = 5/4 * x + C, where C is the constant of integration. Solving for y, we get y(x) = 1 -\((1 - e^x)^4/5\).

Using the initial condition y(0) = 0, we can solve for C and get C = 1. Therefore, the explicit solution to the initial value problem is

\(y(x) = 1 - (1 - e^x)^4/5.\)

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The correct option is A)\(U(x) = -αx + img x4.\)

Given the force F(x) = α - βx³. We are to find the potential field U(x) that the particle is in.

The potential field U(x) is the negative of the anti-derivative of the force function with respect to the position of the particle. Mathematically, we have:

\(U(x) = -∫F(x)dx.\)

The given force function is\(F(x) = α - βx³.\)

Hence, \(U(x) = -∫(α - βx³)dx\) Integrating the force function gives

\(U(x) = -αx + β * ¼ x⁴ + C\)

where C is a constant of integration.

Since we have assumed that the zero of potential energy is located at x = 0, then the constant C must be such that U(0) = 0.

That is: \(0 = -α(0) + β * ¼ (0)⁴ + C0 \\= 0 + C0 \\= C\)

Therefore, C = 0.

Thus, the potential field U(x) is given by \(U(x) = -αx + β * ¼ x⁴.\)

So the correct option is A)\(U(x) = -αx + img x4.\)

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Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the steeper the slope the faster the something

Answer:

234−2n²

it is already given that n=5 so,

234-2(5)²

234 - 2×25

234-50

184

hope it helps u!

Answer:

sales Tax = 4.8

total cost = 84.8

Step-by-step explanation:

80.00 * 6%​ = 80.00 * 0.06​ = 4.8

Answer:

Sales tax: 4.80 Total costs: 84.80

Step-by-step explanation:

Price x sales tax rate = sales tax

80 x .06(6%) = 4.80

price + sales tax = total costs

80 + 4.80 = 84.80

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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the perimeter of the pentagon greater than 26 centimeters is given by

23.51

Given that a pentagon with 5  sides of equal length and 5 interior angles of equal measure is inscribed in a circle

The circle has area of 16 pi sq cm.

Hence radius of circle = 4 cm

The pengagon each side would be a chord of equal length subtending angle 72 at the centre.

visualize the triangle made by one side of pentagon with centre.  This is isosceles with angles 72, 54 and 54

Use sine angle for this triangle.

, where R = radius =4 and s = side of pentagon.

s= 4.702

Perimeter = 5s = 23.5114 cm

Perimeter not greater than 26 cm.

If origin is at the centre then two vertices would be (4,0) (4cos 72, 4sin72),(4cos 144, 4 sin 144) and so on.

Longest diagonal = distance between (4,0) and (4cos 144, 4 sin 144)

= (-3.236, 2.351) and (4,0)

=7.608

Yes greater than 8 cm

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The decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

a. To calculate the candidate key for the relation R1, we will calculate the closure of all the attributes using the functional dependencies given in F1. We can start by calculating the closure of attribute A, which is A+ = A, C, and D.

However, A does not form a candidate key since it does not contain all the attributes of R1. We can move on to calculating the closure of attribute AB.

A+ = AB, C, D, and I.

Since A and B together can generate all attributes of R1, AB is a candidate key. We can verify this by checking if the closure of AB+ generates all attributes of R1, and indeed it does.

Similarly, we can calculate the closure of attributes CD, EC, and EI to see if they can form candidate keys.

CD+ = C, D, and I, EC+ = A, B, C, and E, and EI+ = C and D. Therefore, the candidate keys for R1 are AB, CD, EC, and EI.

b. Attribute closure for (ACD) and (BCI):

ACD+ = A, C, D, IBCI+ = B, C, D, E, I

c. To find the minimal cover (Fc) of the relation R1, we can start by eliminating the redundant functional dependencies in F1 using the following steps:

Eliminate redundant dependencies: We can eliminate the dependency CD → I since it is covered by the dependency C → DI

Obtain only irreducible dependencies: We can simplify the dependency EC → AB to E → AB since C can be eliminated since it is a non-prime attribute.

Remove extraneous attributes: We can remove the attribute C from A → C since A is a superkey for R1. Therefore, the minimal cover (Fc) of the relation R1 is:

A → CC → DDI → CE → ABE → C

d. To decompose the relation R1 into BCNF form, we can use the following steps:

Identify dependencies violating BCNF:

The dependencies AB → C and EC → AB are violating BCNF since the determinants are not superkeys for R1.

Decompose the relation: We can create two new relations R2 and R3 as follows:

R2 (ABCEI) with dependencies AB → C and E → ABR3 (CDI) with dependencies C → DI and CD → I

Both R2 and R3 are in BCNF since all the determinants are superkeys for the respective relations.

However, they are not a lossless join decomposition since there is no common attribute between R2 and R3.

Therefore, we need to add a new relation R4 (CD) with the primary key CD, which has a foreign key in R3.

This ensures that the join of R2, R3, and R4 is lossless. Therefore, the decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

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The width of the single slit is 0.00135 mm and the second minimum will be at angle of 69.9º.

To find the width of the single slit, we can use the formula:

w = λL/d * sinθ

where w is the width of the single slit, λ is the wavelength of light, L is the distance from the slit to the screen, d is the distance between the slits and θ is the angle at which the first minimum is observed. By substituting the given values, we get:

w = (633*10^-9 m) (2L) / (d) * sin(28.0º) = 0.00135 mm

The angle of the second minimum can be found by using the formula: θn = sin^-1(nλ/w)

where θn is the angle at which the nth minimum is observed, n is the order of the minimum and λ and w are the wavelength and width of the single slit respectively. Substituting the values we get: θ = sin^-1(2*(633*10^-9 m) / (0.0175 mm)) = 69.9º

It is important to note that the above explanation is based on the assumption that the width of the single slit is much smaller than the distance between the slit and the screen (L) and the distance between the slits (d).

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Answer:

hyxxtxtdtxtxtdfyfytzt

Answer:

wat a u trying to ask am not getting u dia

Step-by-step explanation:

A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines

B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines

C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect

D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side

E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines

Answer:

Hope This Helps <3

Step-by-step explanation:

4-8 +2 = -11

6-3-7 = -4

1 +4-6 =  -1

2-7+6 = 1

Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel}{sides}\\[-0.5em] \hrulefill\\ h=8\\ a=14\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{8(14+8)}{2}\implies A=4(22) \\\\\\ A=88 \end{array}\)

The density of an object is 10490kg/m^3.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Given;

The mass of object= 73,430 kilograms

The volume of object= 7m^3

Now

D=mass/volume

D=73430/7

D=10490

Therefore, the density will be 10490kg/m^3.

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We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

Remember that for a rectangle of width W and length L, the perimeter is:

P = 2*(L + W)

Here we know that the perimeter is 224 ft, and we know that the length length is an odd integer, then:

L = (2n + 1)

The width is 5 times the next odd integer, then:

W = 5*(2n + 3)

Where n is an integer number. Replacing all that in the perimeter equation, we get:

224 = 2*( (2n + 1) + 5*(2n + 3))

Now we just need to solve this for n.

224/2 = ( (2n + 1) + 5*(2n + 3))

112 =  (2n + 1) + 5*(2n + 3) = 2n + 1 + 10n + 15 = 12n + 16

112 - 16 = 12n

96 = 12n

96/12 = n = 8

Then the length is:

L = (2n + 1) = (2*8 + 1) = 17

And width:

W = 5*(2n + 3) = 5*(19) = 95

We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

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Answer:

the length is 17, the width is 95

Step-by-step explanation:

i just got this right on delta

Answer:

x ≈ 13.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan34° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{20}\) ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = \(\frac{sum}{5}\)

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is \(\frac{97}{4} = 24.25\) years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

we have the expression

3x+2y

Verify for each ordered pair

so

a) (0,6)

substitute

3(0)+2(6)=12

b) (3,2)

3(3)+2(2)=13

c) (4,1)

3(4)+2(1)=14

d) (5,-2)

3(5)+2(-2)=11

therefore

maximum value for option C

A simplified fraction to represent the ratio where ∠A is the angle of reference is 12/13.

In order to determine the magnitude of angle A, we would apply cosine ratio because the given side lengths represent the adjacent side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

By substituting the given side lengths cosine ratio formula, we have the following;

cos(θ) = Adj/Hyp

cos(A) = 1.2/1.3

cos(A) = 1.2/1.3 × 10/10

cos(A) = 12/13

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To find all points on the curve x²y² + xy = 2, we can rewrite the equation in the form of a parametric representation.

Let x = t, and then solve for y in terms of t:
x²y² + xy = 2
t²y² + ty = 2
Now, we can solve for y in terms of t:
y(t^2y + t) = 2
y = 2 / (t^2y + t)
Unfortunately, the equation above cannot be simplified further to provide an explicit equation for y in terms of t. However, we can use this parametric representation to find all points on the curve by varying the value of t. To find specific points on the curve, plug in different values of t into the equation above and solve for the corresponding values of y. The points (x, y) will lie on the curve x²y² + xy = 2.

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Answer:

vzosbakabaoabka a

Step-by-step explanation:

ukiukiukiyji

The value of y'' at the point where x=0 is\(9 e y^{\prime \prime}=\frac{1}{9 e}$\) (\(e^{2}\))

Differentiation is one of the two important concepts apart from integration. Differentiation is a method of finding the derivative of a function. Differentiation is a process, in maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.

If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx. This is the general expression of derivative of a function and is represented as f'(x) = dy/dx, where y = f(x) is any function.

\($x y+9 e^y=9 e$\)

at \(x =0\)

\($9 e^y=9 e$\)

\($y=1$\)

\($w \cdot r . t x$\)

\($\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0\)

at \(x=0\)

\($1+9 e y^{\prime}=0$\)

\($y^{\prime}=-\frac{1}{9 e}$\)

\($--------$\)

\($\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0$\)

\(y^{\prime}+x y^{\prime \prime}+y^{\prime}+9 e^y y^{\prime \prime}+9 e^y\left(y^{\prime}\right)^2=0\)

at \(x=0\)

\(2\left(-\frac{1}{9 e}\right)+9 e y^{\prime \prime}+9 e\left(-\frac{1}{9 e}\right)^2=0\)

\(-\frac{2}{9 e}+9 e y^{\prime \prime}+\frac{1}{9 e}=0\)

\(9 e y^{\prime \prime}=\frac{1}{9 e}$\)\(\left(e^2)\right\)

Therefore, the value of y'' at point where x=0 is \(9 e y^{\prime \prime}=\frac{1}{9 e}$\)  (\(e^{2}\))

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Answer: 8r+5t

Step-by-step explanation:

8t + 6r - 3t + 2r

8t-3t= 5t

6r+2r=8r

= 8r+5t

Answer:

The answer would be 8r + 5t

The income from operations of your business is $2,12,440.

Given:

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.

Total expenses = administrative + marketing expenses

= $29,147 + $32,645

= $61792

Income = gross profit - total expenses

= 274232 - 61792

= $2,12,440

Therefore the income from operations of your business is $2,12,440.

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The true proportion of the side lengths of the quadrilaterals is A'B'/AB

From the question, we have the following parameters that can be used in our computation:

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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