find the particular solution that satisfies the differential equation and the initial condition. f '(x) = 24x^3 − 6x; f(1) = ___________-

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

Answer: (D) 5³ * 5⁹.

Step-by-step explanation:

The expression (5³)⁹ is the same as 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³, which can be simplified to 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9. The only expression from the options above that is equivalent to this is 5³ * 5⁹, so the correct answer is (D) 5³ * 5⁹.

Answer:

y+13 = 5(x+2)

Step-by-step explanation:

y = 5x – 3

This is in slope intercept form  y = mx+b so the slope is m which is 5

We have a slope and a point ( -2, -13)

Point slope form is

(y-y1) = m(x-x1)

y - -13 = 5(x--2)

y+13 = 5(x+2)

Answer:

He is right

Step-by-step explanation:

I just took the quiz on edu

Let x be the number of bags of fertilizer and y be the number of bags of peat moss.

If each bag of fertilizer costs $2, if we buy x bags we will have to pay 2x for it.

If each bag of peat moss costs $5, if we buy y bags we will have to pay 5y for it.

In total, we would have to pay 2x + 5y.

Since Jake does not want to spend more than $50 on them, this sum have to be less than or equal to 50, so we have the first inequality of the system:

Also, Jake's van can hold at most 20 bags, so if we buy x bags of fertilizer and y bags of peat moss, we will have a total of x + y bags, and this have to be less than of equal to 20, so we have the second inequality of the system:

Also, we can't buy a negative number of bags of fertilizer or peat moss, so x and y each must be greater than or equal to 0:

So, the system of inequalities is:

Answer:

i am going to say number 1 even though they all sound right hope i helped <3

Step-by-step explanation:

The length of ST is 3.61 units.

The length of TU is 3.16 units.

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

Length of ST:

The coordinates of S and T are:

S(0, 0) : x₁ = 0 , y₁ = -5

T(2, 3) : x₂  = 2 , y₂  = -2

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((2 – 0)² + (-2 – (-5))²) = 3.61 units

Thus, the length of ST is 3.61 units.

Length of TU:

The coordinates of S and T are:

T(0, 0) : x₁ = 2 , y₁ = -2

U(2, 3) : x₂  = 3 , y₂  = -5

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((3 – 2)² + (-5 – (-2))²) = 3.16 units

Thus, the length of ST is 3.16 units.

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ1

The expression for the position s after a time t

⇒ (1/27) (t - t₀) + s₀

Finding the position s after a time t by integrating the given velocity function v(t).

⇒ s(t) = ∫ v(t) dt

⇒ s(t) = ∫ (t)/9 dt

Using the power rule of integration, we get,

⇒ s(t) = (1/9) ∫ t dt

⇒ s(t) = (1/9) (t/3) + C

where C is the constant of integration.

To find the value of C, we need to know the position of the particle at a specific time.

Assume the particle is at position s₀ at time t₀, then,

⇒ s₀ = (1/9) x (t₀/3) + C

⇒ C = s₀ - (1/9)(t₀/3)

Substituting the value of C in the expression for s(t), we get,

⇒ s(t) = (1/9)(t/3) +  s₀ - (1/9) (t₀/3)

which simplifies to,

⇒ s(t) = (1/27) (t - t₀) + s₀

Therefore, the expression for the position s after a time t is,

⇒ (1/27) (t - t₀) + s₀,

where t₀ is the time at which the particle was at position s₀.

To learn more about integration visit:

https://brainly.com/question/31744185

#SPJ4

3.2

8.79

20.89

12.564

107.40

403.52

0.47531

98.7252

13,238.984

0.0075

15,011.42

Proper

Improper

11⁄ 4

33⁄ 7

14⁄ 8 or 1 1⁄ 2

3 1/6

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one.

A proper fraction exists as a fraction that contains no whole number part and its numerator exists smaller than its denominator. An improper fraction exists as a fraction that contains a larger numerator than a denominator and it designates a number greater than one. To convert an improper fraction to a mixed fraction, observe these steps:

The answer as follows:

7. 0.47531

8. 98.7252

9. 13238.984

10. 0.00757576

11. 15011.4286

12. Proper

13. Improper

14. \($\frac{11}{4}\)

15. \($\frac{33}{7}\)

16. \($1\frac{4}{8}\) or \($1\frac{1}{2}\)

17. \($3 \frac{1}{6}\)

To learn more about proper fraction and improper fraction

https://brainly.com/question/917764

#SPJ2

Answer:

v = 288in³

la = 288in²

sa = 336in²

Step-by-step explanation:

i'm done explaining, if you need it, tell me

Answer:

Blue: 2/8

Red or Yellow: 3/8

Not Brown: 8/8

Not Green: 5/8

Number Five: 20%

Step-by-step explanation:

First Four Questions: See how many parts the spinner is in then count the number of colors its asking or not asking for and put that number over the total amount of parts

Question Five: If it shows up on time 80 percent of the time then the other 20 percent of the time they were late so there is a 20 percent chance of that happening again.

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

The sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

Given : f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2

The graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).

(a)  the sum of the areas of the enclosed regions is given by

Area =

\(\int\limits^A_0[[g(x) - f (x)] dx +\int\limits^2_A [f(x) - g(x)] dx\)

= 0.997427 +1.006919

= 2.004

(b)  the sum of the volumes of the enclosed regions is given by

Volume = [[ƒ(x) − g(x)]² dx = 1.283

(c) the rate at which h changes with respect to x when x = 1.8

h(x) = f(x) = g(x)

h'(x) = f'(x) - g'(x)

h'(1.8) = f'(1.8) g'(1.8)

          =-3.812 (or -3.811)

Hence , the sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .

Learn more about enclosed regions at :

https://brainly.com/question/25923985

#SPJ4

The equation is (1/3-6m)-(1/4n-8).The equation's difference is -6m-1/4n+25/3.

Given that,

The equation is (1/3-6m)-(1/4n-8)

We have to find the difference of the equation.

What is difference?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. To determine how many numbers are between the two supplied numbers is the goal of finding the difference in math.

The difference in mathematical notation is minus (-).

To difference between whole numbers and natural numbers, take the following steps:

The values are initially arranged vertically according to their place values. Additionally, make sure that the larger number is on top and the smaller one is at the bottom.

Starting at the ones place, begin removing the numerals.

Take the equation,

(1/3-6m)-(1/4n-8)

Taking least common multiple.

(1-6×3m)/3-(1n-8×4)/4

By multiplication

(1-18m)/3-(n-32)/4

Taking the least common multiple.

4(1-18m)-3(n-32)/3×4

By multiplication

(4-72m-3n+96)/12

Now by adding

(-72m-3n+100)/12

By dividing

-6m-1/4n+25/3

Therefore, The difference of the equation is -6m-1/4n+25/3.

To learn more about difference visit: https://brainly.com/question/2432925

#SPJ2

Answer:

A=5t+12

B=6t+6

At 6 hours, both equations equal $42.

If the incident light changes from a wavelength of 630 nm to 420 nm, the fringe spacing will decrease, resulting in fringes that are closer together.

In a double-slit experiment, when light passes through two narrow slits and hits a viewing screen, interference patterns are observed. The fringe spacing, also known as the separation between adjacent bright fringes, is determined by the wavelength of the incident light. The formula for calculating fringe spacing is given by:

Fringe Spacing = (wavelength * distance from slits to screen) / distance between the slits

Given that the fringe spacing is initially 1.8 mm when the incident light has a wavelength of 630 nm, we can use the formula to calculate the new fringe spacing when the light wavelength changes to 420 nm. Since the distance from the slits to the screen and the distance between the slits remain constant, the only variable that changes is the wavelength. As the wavelength decreases, the fringe spacing will also decrease. Therefore, the fringe spacing will be smaller when the light wavelength is 420 nm compared to when it is 630 nm.

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ11

Answer:

Yes they both are equal

Answer:

32

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2 and 40 is c^2 so we would do 40^2-24^2=b^2 so 1600-576 is 1024 and the square root of 1024 is 32 so b would be 32

Answer:

34

Step-by-step explanation:

Given:

a=24

c=40

Required:

b=?

Formula:

\(a {}^{2} + b {}^{2} = c {}^{2} \)

Solution:

\(a {}^{2} + b {}^{2} = c {}^{2} = (24) {}^{2} + b {}^{2} = (40) {}^{2} = 576 + b {}^{2} = 1600 = b {}^{2} = 1600 - 576 = 1024 = b {}^{2} = 1024 = \sqrt{ {b}^{2} } = \sqrt{1024} = 34 \)

Hope this helps ;) ❤❤❤

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

Learn more about coordinate planes from brainly, visit: brainly.com/question/13611766

#SPJ4

Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

You have the following function:

In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:

the zeros of the previous equation are:

Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:

Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.

Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.

Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:

then for x=1 and x=-1 there are inflection points.

The interval where the function is concave up is:

(-∞ , -1) U (1, ∞)

The interval where the function is concave down is:

(-1,1)

Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

Answer:please mark as brainliest

Step-by-step explanation:this is an example and then the question you can answer

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.

another example

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4. Thus any line parallel to the line y=−4x+5 has an equation of the form y=−4x+b, where b is any number.

Answer:no there not because they don't make a 90 degree angle                      

so your answer is no

Answer:

50%

Step-by-step explanation:

Sense there are 4 popsicles in all, and 2 are cherry, there would be 2/4 cherry popsicles, which is 1/2 or 50%

Hope my explanation makes sense :)

Answer:

It would be 16(3+2)

Step-by-step explanation:

Because, 16 times 3 is 48, Then 16 times 2 is 32. You add them then you get 80, which is the same answer as the original problem

Answer:

13. 5 years

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 6.8%/100

r = 0.068 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(182,800 / 75,000) / ( 1 × [ln(1 + 0.068/1)] )

t = 13.542 years

Summary:

The time required to get  a total amount of $ 182,800.00  from compound interest on a principal of $ 75,000.00  at an interest rate of 6.8% per year  and compounded 1 times per year  is 13.542 years. (about 13 years 7 months)

Answer: 13.4

Step-by-step explanation:

Delta Math Solution

Answer:

Since we need your monthly bill we will call it the variable B for now, (Unless you have the bill, if so replace it with the variable)

Multiply 1.64 x B since the exchange rate is different than the US bill,

For example, say your bill is $100 in the U.S.

You do 1.64 x 100 = A monthly bill of $164 if you lived in Britain

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

it’s the only one within Q3

If the entrance of the tunnel is modeled by y = -1/18x^2 + 2x - 2 then the height of the tunnel is 16 feet.

The entrance of a tunnel can be modeled by the equation y = -1/18x^2 + 2x - 2, where x and y are measured in feet. To find the height of the tunnel, follow these steps:

1. Determine the vertex of the parabola, which represents the highest point (or the height) of the tunnel.
2. The vertex can be found using the formula: x_vertex = -b / (2a), where a and b are the coefficients in the quadratic equation y = ax^2 + bx + c.

In this case, a = -1/18 and b = 2. So:

x_vertex = -2 / (2 * -1/18) = -2 / (-1/9) = 18

3. Now that we have the x-coordinate of the vertex, we can find the y-coordinate (height) by plugging the x_vertex value into the equation:

y = -1/18(18^2) + 2(18) - 2

4. Calculate the value of y:

y = -1/18(324) + 36 - 2 = -18 + 36 - 2 = 16

So, the height of the tunnel is 16 feet.

Learn more about the vertex of the parabola:

https://brainly.com/question/1480401

#SPJ11

Answer:

DE = 4 1/2

EF = 3 3/4

Step-by-step explanation:

AB/AC = DE/DF

6/4 = DE/3

cross-multiply:

4DE = 18

DE = 18/4 or 4 1/2

AB/BC = DE/EF

6/5 = 4.5/EF

cross-multiply:

6EF = 22.5

EF = 3.75

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.