suppose that both the radius and height ℎ of a circular cone are increasing at a rate of 2cm/s. how fast is the volume of the cone increasing when =20cm and ℎ=5cm?

Answer:

Step-by-step explanation:

1). From the graph attached,

  Price of one ticket last year = $1.5

  From the table attached,

  Price of one ticket this year = $2

  Therefore, price of one ticket this year is higher than the last year.

  This year ticket is expensive.

2). From the graph attached,

   Price of 4 tickets last year = $6

3). Since, price of one ticket this year = $2

    Therefore, price of 10 tickets = $2 × 10 = $20

Answer:

1. This year's tickets was the most expensive.

2. The price for 4 tickets last year is 6

3. 10 tickets would cost $20 this year.

Step-by-step explanation:

Let's solve your inequality step-by-step.

\(11+\frac{a}{2}\le 16\)

Step 1: Simplify both sides of the inequality.

\(\frac{1}{2}a+11 \le 16\)

Step 2: Subtract 11 from both sides.

\(\frac{1}{2}a+11-11\le 16-11\)

\(\frac{1}{2}a\le 5\)

Step 3: Multiply both sides by 2.

\(2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)\)

\(a\le 10\)

The general solution of the given differential equation is y(x) = C₁e^-x + 4xe^-x. The largest interval over which the general solution is defined is (-∞, ∞). There are no transient terms in the general solution.

The differential equation given can be rearranged into the form dy/dx + (x + 2)/(x + 1)y = 8xe^-x, which is a linear first order differential equation. Using the integrating factor method, an integrating factor of e^(x + 1) can be used to obtain the general solution y(x) = C₁e^-x + 4xe^-x.

The integration constant C₁ can be determined by supplying the appropriate initial conditions. As the equation is a linear first order differential equation, the general solution is valid over the entire domain of x, which is (-∞, ∞). As the equation does not involve any terms that provide a particular value for y at any point in the domain, there are no transient terms in the general solution.

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Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

Answer:

I think the answer is 2.56 = x

Step-by-step explanation:

pls like, vote, and give brainliest!

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Answer:

y = 3x -1

Step-by-step explanation:

General equation of slope intercept:

y= mx +b , where m is the slope and b is the y intercept

>find slope for line going trough the points (x1=-3, y1=-10) and (x2=5,y2=14)

m = (y2-y1)/ (x2-x1) = (14- - 10)/ (5- -3)= (14+10)/ (5+3)= 24/8 = 3

m= 3

y= 3x +b

>find the y intercept by substituting one of the points in the equation

for (-3, -10) the equation should check because the point belongs to the line with this equation

      y = 3x+b

   -10 = 3*(-3) +b

   -10 = -9 +b

-10+9 = b

     -1 = b

> the equation in slope-intercept form of the line that passes through the points (-3,-10) and (5,14) is y = 3x -1

Answer:

:Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded

Step-by-step explanation:

Answer:  Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Step-by-step explanation:

Answer:

Answer: $457,835

Step-by-step explanation:

I just took the test :)

The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-6,-5) and (-4,-4) ,

So , the slope(m) is = (-4 -(-5)/(-4 -(-6))

= (-4+5)/(-4+6)

= 1/2

the equation of the line passing through (-4,-4) and slope as 1/2  is

(y -(-4)) = (1/2)(x -(-4))

y + 4 = (x+4)/2

2y + 8 = x + 4

x - 2y = 8-4

x - 2y = 4

Therefore , The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The given question is incomplete , the complete question is

Complete the equation of  line that passes through the points (-6,-5) and (-4,-4) .

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Answer:

13

Step-by-step explanation:

3n+1

Let n= 4

3(4)+1

12+1

13

Answer:

\({ \tt{f(n) = 3n + 1}} \)

» When n is 4, f(n) is f(4);

\({ \tt{f(4) = 3(4) + 1}} \\ { \tt{f(4) = 12 + 1}} \\ { \underline{ \tt{ \: f(4) = 13 \: }}}\)

the range of the graph is simply the region that it covers vertically, well, from the picture we can see the graph goes down down down to -2 vertically, makes an U-turn and goes back up, the arrowheads mean it keeps on going to infinity, so vertically the graph never goes below -2, so its range is just from -2 up to infinity, or in interval notation [ -2 , +∞ ).

Answer:

I think the first one is 6a, if that sounds right

Answer: C. 78%

Step-by-step explanation:

simply divide 7 by 9 and move the decimal two places to the right and round!

Answer:

x > -3

Step-by-step explanation:

its an open circle, so the sign is >

and the sign, > is pointing left, so that assures it

Answer:

x>-3

Step-by-step explanation:

The Fandago Bike Company needs to produce 60 bikes in one month to break even when the revenue from selling bikes remains the same.

To find the number of bikes the Fandago Bike Company needs to make for one month to break even, we need to set the cost function equal to the revenue function and solve for x. This is because the break-even point is the point where the company’s revenue equals its costs.

The cost function is C(x) = 25x + 900, where x is the number of bikes produced in one month.

The revenue function is R(x) = 100x - x², where x is the number of bikes sold in one month (which we assume is equal to the number of bikes produced).

Setting C(x) = R(x), we have:

25x + 900 = 100x - x²

Rearranging and simplifying, we get a quadratic equation in standard form:

x² - 75x + 900 = 0

We can solve for x using the quadratic formula:

x =\((-b \± \sqrt(b\² - 4ac)) / 2a\)

In this case, a = 1, b = -75, and c = 900, so we have:

x = \((-(-75) \± \sqrt((-75)\² - 4(1)(900))) / 2(1)\)

Simplifying, we get:

x = (75 ± 45) / 2

x = 60 or x = 15

Since we are looking for the number of bikes the company needs to make to break even, we choose the value of x that represents the minimum number of bikes needed. In this case, x = 60, since the number of bikes produced cannot be negative.

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The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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The F-Statistic is 4.821 when g = 4 source ss df ms f between 87.40 within total 199.22 33.

To compute the F-statistic, we need to use the table provided and the following formula: F = variance of the group means/variance of the individual scores  Formula to calculate F statisticWhere, F = F Statistic, MSTR = Mean Square Treatment, MSE = Mean Square Error. Step-by-step solution to compute the F-statistic from the given table is shown below. Step 1: Identify the values from the table and assign them as follows.

Source df SS MS Between k - 1 SSTR MS = SSTR / (k - 1) Within N - k SSE MS = SSE / (N - k) Total N - 1 SST

Step 2: Calculate the Mean Square Error (MSE) by dividing the Sum of Squares Within by the degrees of freedom within. MSE = SSE / dfw MSE = 199.22 / 33 = 6.03939394

Step 3: Calculate the Mean Square Treatment (MST) by dividing the Sum of Squares Between by the degrees of freedom between. MSTR = SSTR / dfb MSTR = 87.4 / 3 = 29.1333333 Step 4: Calculate the F-Statistic by dividing the MST by the MSE. F = MSTR / MSE F = 29.1333333 / 6.03939394 = 4.82148362

Therefore, the F-Statistic is 4.821 and this answer is given within 150 words without using latex code.

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The given line integral ∫C (-4ndx + y²dy - yzdz) can have the value of -12.

To evaluate the line integral ∫C (-4ndx + y²dy - yzdz) over the curve C, we want to parameterize the curve C after which replacement the parameterization into the integrand.

The curve C is given by z = -t, y = 0, and z = -3, where t ranges from 0 to 3.

Parameterizing the curve C:

x = t

y = 0

z = -t

-4ndx + y²dy - yzdz = -4dt + (0)²(0) - (0)(-t)d(-t) = -4dt

Since y = 0, y²dy term evaluates to zero, and yzdz term also simplifies to zero.

∫C (-4ndx + y²dy - yzdz) = ∫C -4dt = -4∫dt

-4∫[0,3] dt = -4(t)|[0,3] = -4(3 - 0) = -12.

Thus, the value of the line integral ∫C (-4ndx + y²dy - yzdz) over the curve C is -12.

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The exact solutions of the given equation on the given interval are x = π, 2π/3 and 4π/3, for the given equation 2 cos²x + 3 cos x: {-1, 0 ≤ x ≤ 3}

We need to find all the exact solutions for the equation on the given interval (0 ≤ x ≤ 3).

The given equation is a quadratic equation in cos x.

Let's substitute cos x as y and then solve for y.

2 cos²x + 3 cos x + 1 = 0

Multiplying both sides by 2:

4 cos²x + 6 cos x + 2 = 0

Dividing both sides by 2:

2 cos²x + 3 cos x + 1 = 0

Now ,let's substitute y = cos x

2 y² + 3 y + 1 = 0

Factorizing the quadratic equation:

(2 y + 1)(y + 1) = 0

Therefore, the exact solutions are:

cos x = y = -1 or y = -1/2

When y = -1, cos x = -1.

This occurs at x = π

When y = -1/2, cos x = -1/2.

This occurs at x = 2π/3 and x = 4π/3.

Thus, the exact solutions of the given equation on the given interval are x = π, 2π/3 and 4π/3.

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Answer:

w^2 + 13w + 39

Step-by-step explanation:

Multiplying Polynomials (FOIL- Firsts, Outs, Inners, Lasts)

(w+9) (w+4)          Multiply- Firsts (w*w)   Outs (w*4)   Inners (9*w)   Lasts (9*4)

w*w + w*4 + 9*w + 9*4     Multiply the FOIL

w^2 + 4w + 9w + 36          Combine like terms (same variables, numbers)

w^2 + 13w + 39

Answer:

D. 100°

Step-by-step explanation:

A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.

50 + 30 = 80

180 - 80 = 100

Answer:

These angles form a straight line, so they are supplementary angles.

We know that, supplementary angles form 180°.

\(50 + x + 30 = 180 \\ 50 + 30 + x = 180 \\ 80 + x = 180 \\ x = 180 - 80 \\ x = 100\)

=> So, the missing angles is 100°

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

At the faster rate (12 gallons per minute)

Time = 60t minutes

At the slower rate (8 gallons per minute)

Time = 120 - 60t minute

Step-by-step explanation:

From the question,

From the statement above, it means 12 gallons per minute is the faster rate and

8 gallons per minute is the slower rate

Also,

He adds water to the pool for a total of 2 hours. That is, the total time he spends adding water to the pool at both rates is 2 hours.

From the question, let t be the time in hours that he adds water to the pool at the faster rate. That is,

At the rate of 12 gallons/minute

Time = t hours (Convert to minute)

(NOTE: 1hour = 60 minute)

Time = t × 60 minute

Time = 60t minute

Since the total time spent was 2 hours, then

The time spent when adding water at the rate of 8 gallons / minute will be

Time = 2 - t hours (convert to minute)

Time = (2 - t) × 60 minutes

Time = 120 - 60t minutes

Hence, the algebraic expression for the time he spends adding water to the pool at the faster rate is

Time = 60t minutes

and for the slower rate

Time = 120 - 60t minute

Answer: y = -4x + 3

Step-by-step explanation:

   First, we will write 8x+2y=14 in slope-intercept form.

8x+2y=14

2y = -8x + 14

y = -4x + 7

   Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.

y = -4x + b

(-5) = -4(2) + b

-5 = -8 + b

b = 3

   Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.

         y = -4x + 3

Answer: 4 :1 , 2

(The explanation is in the .pdf)

Answer:

4⁻⁴

Step-by-step explanation:

4⁵ × 4⁻⁷ ÷ 4⁻²

⁺ ⁵ ⁻ ⁷

= ⁻²

⁻ ² ⁻ ²

= ⁻ ⁴

4⁻⁴

Answer:

Use papa math

Step-by-step explanation:

Use papa math