help me plzzz plzzz help me

Answer:

The volume of a cone is 1/3 of the volume of the cylinder.

Step-by-step explanation:

The formula for a cylinder is:

V = bh

For a cone:

V = 1/3(bh)

If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:

The volume of a cone is 1/3 the volume of the cylinder.

--------------------------

Example to prove:

Given, radius 2 and height 15:

Cylinder: V = bh (b = πr²)

V = 4π × 15

V = 60π u³

Cone: V = 1/3 (bh)

V = 1/3 (4π × 15)

V = 20π u³

Answer:

C/7 = 20

Step-by-step explanation:

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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Answer:

1.5 pounds. it's simply 3/8 times 4

Answer:

1.5 pounds of chocolate

Step-by-step explanation:

A single batch of ice cream takes \(\frac{3}{8}\) of a pound of chocolate. For every added batch, we add another \(\frac{3}{8}\) pound, or multiply \(\frac{3}{8}\) by the number of batches.

In this case, we are making 4 batches, so we need to multiply \(\frac{3}{8}\) by 4.

\(4\cdot \frac{3}{8}\)

\(\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}\)

\(\frac{3}{2}=1.5\)

We need 1.5 pounds of  chocolate to make 4 batches of ice cream.

Good luck ^^

Yes , the toll company is correct to give the teacher a ticket.

Mean Value Theorem for a function f(x): [a,b]→ R such that f(x) is continuous and differentiable over the interval.

(i) f(x) is continuous on [a,b].

(ii) f(x) is differentiable on (a,b).

(iii) There exist a point c in (a,b) such that f'(c)=f(b)-f(a)/(b-a).

In the given question

Speed Limit = 60 mph

Time of entrance on toll road = 6:00

Time of exit from toll road = 7:00

Total time on toll road  = 1 hr

Mile marker on entry in toll road = 15 mile

Mile marker on exit from toll road = 100 mile

Total distance travelled on toll road = 100-15= 85 miles

\(Average.Speed=\frac{total . distance}{total.time}\)

Substituting the values we get .

Avg Speed = 85/1 = 85  mph

Overspeed = Avg Speed - Speed Limit

=85-60

=25 mph

The teacher over speed by 25 mph.

Since 85 mph is the average speed , it means that for some instance he was travelling below the average speed and for some instance he was travelling above the average speed.  

By Mean value Theorem , it is clear that there have been at least one point where the teacher was travelling above 85 mph , which means he was over speeding .

Therefore , Yes , the toll company is correct to give the teacher a ticket.

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Answer:

see explanation

Step-by-step explanation:

by using formulla :- I= p×t×r/100

7200 =5000×t×7.5/100

7200 =375×t

375t = 7200

t = 19.2

hope it will help you

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer:

x = - 38 & y = 38 or x = 38 & y = -38

Step-by-step explanation:

The result of the subtraction of matrices E and F is given as follows:

E - F = [19 -7]

          [2 15]

The matrices in the context of this problem are defined as follows:

E =

[9 2]

[12 8]

F =

[-10 9]

[10 -7]

When we subtract two matrices, we subtract the elements that are in the same position of the two matrices.

Hence the result of the subtraction of matrices E and F is given as follows:

E - F = [19 -7]

          [2 15]

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To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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The synthetic division of the polynomial, (2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2) =  2x³ + 2x + 4.

The division of the polynomial is determined as follows;

(2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2)

                     2x³ + 2x + 4

                   -------------------------

     x + 2   √(2x⁴ + 4x³ + 2x² + 8x + 8)

                - (2x⁴ + 4x³)

                 -------------------------------------

                                        2x² + 8x + 8

                                     - (2x² + 4x)

                                   ------------------------

                                                  4x + 8

                                               - (4x + 8)

                                              -------------------

                                                       0

Thus, the synthetic division of the polynomial, (2x⁴ + 4x³ + 2x² + 8x + 8) / (x + 2) =  2x³ + 2x + 4.

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Answer:

3

Step-by-step explanation:

Answer:

$120.05

Step-by-step explanation:

Div₀ = $5

Div₁ = $5.15

Div₂ = $5.3045

Div₃ = $5.463635

Div₄ = $5.62754405

Div₅ = $5.796370372

Div₆ = $6.08618889

first we must determine the terminal value on year 5:

terminal value = $6.08618889 / (9% - 5%) = $152.1547223

now we determine the present values of our future dividends + terminal value = $5.15/1.09 + $5.3045/1.09² + $5.463635/1.09³ + $5.62754405/1.09⁴ + $5.796370372/1.09⁵ + $152.1547223/1.09⁵ = $4.724 + $4.464 + $4.219 + $3.987 + $3.767 + $98.890 = $120.05

A) Here, we have two servers: Server 1 (S1) and Server 2 (S2). And we need to compute the probability of S to be the winning server, i.e., P(S = S1) = P(S = S2).Since we have two servers with the same service rate, the jobs have equal chances of being assigned to either server.

Therefore, P(S = S1) = P(S = S2)

= 1/2.

(Both servers have equal probabilities of winning).

B) Expected departure time of the winning server, defined as ty > 0. It is also called the mean service time (MST) or the expected value of the service time. The expected value of an exponential distribution is equal to the reciprocal of the service rate. Thus, if the service rate of both servers is μ, then the expected departure time of the winning server will be 1/μ.

C) Expected departure time of the losing server, defined as t > t0. Since the two jobs can't leave until their services are complete, the service time of the winning server will be the total time taken by both jobs. Thus, the expected departure time of the losing server can be calculated by taking the expected departure time of the winning server (which is 1/μ) and subtracting the mean service time (MST) of a single job, which is 1/2μ. Therefore, the expected departure time of the losing server will be 1/μ - 1/2μ = 1/2μ.

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The expression that most accurately describes the change in the patient's temperature is -2° (3).

Option 3 is the correct answer.

We have,

The expression that most accurately describes the change in the patient's temperature would be:

-2° + (-2°) + (-2°)

This expression represents the successive temperature drops of 2° each time.

By adding the negative values, we account for the decrease in temperature.

This can be written as,

= -2° x 3

= -2° (3)

Thus,

The expression that most accurately describes the change in the patient's temperature is -2° (3).

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for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, p value will be pchisq(8.4345,5)

To test a hypothesis' validity against actual data, a statistical calculation called a p-value is used. The probability of experiencing the results that were observed is calculated using a p-value, assuming that the null hypothesis is true. The p-value can be calculated by looking up the 8.4345 value in the Chi-Square distribution table with 5 degrees of freedom (6-1=5). The resulting p-value will depend on the significance level you choose.

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Answer:

5/2 but simplified its 2 1/2

Step-by-step explanation:

it took him 5/2 hours but simplified into mixed fraction its 2 hours and a half

( 2 1/2 )

hope this helps :)

- by chance may i get brainliest

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.

The y-intercept, b, is 5 because the line crosses that number once on the y-axis.

Answer:

$11.29

Step-by-step explanation:

He had $30 at the start, to see how much he has left we first need to calculate how much money he has spent throughout the fair:

$5 + $6.50 + $7.21 = $18.71

$30.00 - $18.71 = $11.29

Answer:

y = 30x + 40

Step-by-step explanation:

Answer:

  b.  y = 15x + 40

Step-by-step explanation:

You want the equation of the line of best fit through the given data.

The graphing calculator in the attachment shows the line of best fit to be about y = 13x +45 (red).

The green line shown is what appears to be the nearest answer choice:

  B.  y = 15x +40

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The length of the rectangular plot is 125 feet.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The rectangle has a right triangle in it. Therefore, using Pythagoras's theorem,

c² = a² + b²

where

Therefore,

l² = 325² - 300²

l = √105625 - 90000

l = √15625

l = 125 ft

Therefore,

length of the rectangular plot = 125 feet

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Answer:

because you are big brain

Step-by-step explanation:

Answer:

Pie r squared

Step-by-step explanation:

The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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Answer:

Katie,

Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:

h = (3200 ft) - (160 ft/s)·t

As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s

Answer:

h(t) = -16t^2 + 200

Step-by-step explanation:

(a) The determinant of A inverse multiplied by B inverse is 3/8. (b) The determinant of 24 is 24 to the power of 5.

(a) We know that det(A) × det(A inverse) = 1, and similarly for B. So, det(A inverse) = 1/3 and det(B inverse) = 1/8.

Using the fact that the determinant of a product is the product of the determinants, we have det(A inverse × B inverse) = det(A inverse) × det(B inverse) = 1/3 × 1/8 = 1/24.

Therefore, det(A × B inverse) = 1/det(A inverse × B inverse) = 24/1 = 24.

(b) The determinant of a scalar multiple of a matrix is the scalar raised to the power of the dimension of the matrix.

Since 24 is a scalar and we are dealing with a 5 x 5 matrix, the determinant of 24 is 24 to the power of 5, or 24⁵.

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The required area of the section Dr. Gordan will search is equal to 48,000ft².

As given in the question,

Scale used by Dr. Gordan

2 in = 100 ft

⇒1 in = 50 ft

Dr. Gordon marks a 6 in. by 3.2 in section

Length = 6 in

           = ( 6 × 50 )ft

           = 300ft

Width = 3.2in

         = ( 3.2 × 50 )

         = 160ft

Area of the section = length × width

                                = 300 × 160

                                = 48,000 ft²

Therefore, the required area of the section Dr. Gordan will search is equal to 48,000ft².

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Answer:

a. 120

b. 336

Step-by-step explanation:

hope this helps:)

the answer will be -137

Answer:

i dont know

Step-by-step explanation: