Find the area and perimeter of a rectangular poster measuring 0.73 m by 1.1 m

The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000

To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\)  that satisfies the condition C(0) = 2000, we need to integrate the given function twice.

First, we integrate C''(x) to find C'(x):

\(C'(x) = ∫ (4x^2 - 3x) dx\)

To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).

\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)

Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):

\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)

To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).

The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.

\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)

Simplifying further, we have:

\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)

Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:

\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)

Since all the terms involving x become zero when x = 0, we have:

K2 = 2000

Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)

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Answer:

The answer to your problem is:

Part A. Box B:

H,B | H,R | H, Y

T,B | T,R | T, U

Part B. 0.2

Step-by-step explanation:

Part A.

We can put it to this diagram shown:

\(\left[\begin{array}{ccc} &H& \\l&l&l\\B&R&Y\end{array}\right]\) “ l “ Representing what H is going to. ( Same with second )

\(\left[\begin{array}{ccc} &T& \\l&l&l\\B&R&Y\end{array}\right]\) “ l “ Represening what T is going to

So if we complete it, it will equal:

H,B | H,R | H, Y

T,B | T,R | T, U

Part B.

We will just solve:

\(\frac{1}{2} * \frac{2}{1+2+2} = \frac{1}{2} * \frac{2}{J} = \frac{1}{J} = 0.2\)

0.2 being our answer

Thus the answer to your problem is:

Part A. Box B:

H,B | H,R | H, Y

T,B | T,R | T, U

Part B. 0.2

Answer:

Step-by-step explanation:

Missing reasons:

Answer:

280 square feet can be painted with .8 gallons and (280 / .8) or 350 square feet can be painted with 1 gallon and with 3 gallons you could paint 1,050 square feet.

Step-by-step explanation:

Answer:

a₁ = 1; r = 3

Step-by-step explanation:

a₁ represents the first term. It is 1 in this case.

r represents the common ratio between terms. In this case it's 3 / 1 = 3.

Answer:

a1 = 1

r = 3

Step-by-step explanation:

a1 = first term = 1

r = common ratio = 2nd term/1st term

  = 3/1

r = 3

Answer:

gansjehensjhebebsbbvevbeb

Step-by-step explanation:

bebbdnxnbahwv sbbhw €6%×:nbbe

a) The series is divergent. The terms in the series do not approach 0, and thus, the series does not converge. b) The series is convergent. To find its sum, we can rewrite the series as follows:

Σ[(3^k/2^3k) - (5*2^k/2^3k)] from k=1 to infinity

This is the sum of two geometric series. The first one has a common ratio of (1/8) and the second one has a common ratio of (1/4). Since both ratios have an absolute value less than 1, the series converges. To find the sum of each geometric series, we use the formula:

S = a / (1 - r)

For the first series, S1 = (1/8) / (1 - 1/8) = (1/8) / (7/8) = 1/7
For the second series, S2 = (5/4) / (1 - 1/4) = (5/4) / (3/4) = 5/3

Thus, the sum of the whole series is S = S1 - S2 = 1/7 - 5/3 = -11/21.

c) The series is convergent. This is a telescoping series, meaning that some terms will cancel out with other terms, leaving a finite sum. We can rewrite the series as follows:

Σ[ln((n+1)/(n+3)) - ln(n/(n+2))] from n=1 to infinity

As we sum the series, we see that many terms cancel out, leaving us with:

-ln(1/3) + ln(2) = ln(2/3)

So, the sum of the series is ln(2/3).

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Answer:

x/4=75 and 75=x/4 can be used to represent the situation.

75/x=4 is not solvable given what we know

Step-by-step explanation:

Answer:

if im not mistaken its..A

Step-by-step explanation:

Single line that is the same distance from the parabola as the focus is from the parabola is Axis.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

As, A locus is a set of points satisfying a given condition.

and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.

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The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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There are 64 boards in the stack.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

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Answer: π

Step-by-step explanation:

To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).

\(180*\frac{\pi }{180} =\pi\)

Answer:

c

Step-by-step explanation:

edg 2021

no one bothers to read why anyways

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

We have given,

Violet creates two spinners for a game.

Each spinner is spun once, and the sum is recorded.

The table represents the sums of the spinners and the frequency of each sum.

A 2-column table with 7 rows.

The sum is the forword counting of the numbers.

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

The follow me to get 50 points.

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The total volume of the two circular cylinders intersecting perpendicularly is\(V=πr2+πr3=πr2(1+r)\).

The volume of the two circular cylinders intersecting perpendicularly can be calculated using the triple integral formula in rectangular coordinates. The triple integral formula is V=∫∫∫dzdydx.

We can separate the integral into three components. The x-component is ∫dx from \(-√r2-y2 to √r2-y2\). The y-component is ∫dy from -r to r. The z-component is ∫dz from 0 to r.

Substituting the components into the equation for the triple integral, we get \(V=∫-rrdr∫-√r2-y2√r2-y2dx∫0rdz\).

We can solve the integral by splitting the y-component into two pieces:

\(V=∫-rrdr∫-r0dx∫0rdz+∫-rrdr∫0√r2-y2dx∫0rdz\)

The first integral can be solved easily and yields V=πr2. The second integral can be solved using the substitution u=r2-y2 and yields V=πr3.

Hence, the total volume of the two circular cylinders intersecting perpendicularly is V=πr2+πr3=πr2(1+r).

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The Ali points will be 1,3,5 such that its mean is 3 while the range is 4.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

As per the given mean is 3.

Let's say Ali's score was a,b,c where the smallest is a and the biggest is c.

Mean (a + b + c)/3 = 3

Range a - c = 4

By thinking off a = 5

Then, 5 - c = 4

c = 1

Then, (5 + b + 1)/3 = 3

(6 + b) = 9

b = 3

Thus, a,b, and c will be 5,3,1 respectively.

Hence "The Ali points will be 1,3,5 such that its mean is 3 while the range is 4".

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Answer:

5.2491

Step-by-step explanation:

I'm sorry if this is incorrect

Answer:

52,491 = 5.2491 * 10 to the 4th power

Step-by-step explanation:

52,491

Move 4  times to the left

Here it is step by step

1. 5249.1 ( moved one place over)      

2. 524.91 ( moved over two places)

3. 52.491 ( moved over three places)

4. 5.2491 ( moved four places)

Answer: C.  Yes. When –4 is substituted for the variable, the result is a true statement.

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT WILL HELP ALOT

Answer: It should be C,

Yes. When –4 is substituted for the variable, the result is a true statement.

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

Slope= -1/3

Step-by-step explanation:

The slope is found using (y₂ - y₁) / (x₂ - x₁)

(y₂ - y₁)

So let's do the numerator first with the y. -52-(-32). The two negative signs  make 32 positive so -52 + 32= -20

(x₂ - x₁)

Now the denominator, x. -10-(-70). Same thing here, the two negative signs  make 70 positive so -10 + 70 = 60

(y₂ - y₁) / (x₂ - x₁)

Now put them together so -20/60 which equals -1/3 which the slope

Answer:

3x+12/10 simplified is =3x+ 6 /5

Step-by-step explanation:

x+2 /x^2 +6x +8=  7x3+8x2+2 x2

Answer:

390

Step-by-step explanation:

so 50-20 = 30 30+60= 90

90+300 = 390

Answer:

$290

Step-by-step explanation:

300-50= 250

250-20=230

230+60=290

It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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Answer:

(-7,4) and (-9,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

use "range calculator", trust me it helps so much! goodluck!

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Answer:

x = 12

prism's length = 36 centimeters

Prisms width = 25 centimeters

Step-by-step explanation:

volume of a rectangular prism, V = length × width × height

volume = 10,800 cubic centimeters

prism's length = 3x

Prisms height = 12 centimeters

Prisms width = (2x + 1)

volume of a rectangular prism, V = length × width × height

10,800 = 3x * 2x + 1 * 12

10,800 = 6x² + 3x * 12

10,800 = 72x² + 36x

72x² + 36x - 10,800 = 0

2x² + x - 300 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4*2*-300 / 2*2

= -1 ± √1 - (-2400) / 4

= -1 ± √1 + 2400 / 4

= -1 ± √2401 / 4

= -1 ± 49 / 4

x = (-1 + 49)/4 or (-1 - 49)/4

= 48/4 or -50/4

x = 12 or -12.5

x cannot be a negative value

Therefore, x = 12

prism's length = 3x

= 3(12)

= 36 centimeters

prism's length = 36 centimeters

Prisms width = (2x + 1)

= 2(12) + 1

= 24 + 1

= 25 centimeters

Prisms width = 25 centimeters

Answer:

144

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

When solving something like you first are going to add what's inside the parenthesis. So.....

(15-3+4) add 3 and 4

(15-7) subtract 7

(8) plug back in

9(8) = 72

The 90% confidence interval for the population proportion of tenth graders reading at or below the eighth-grade level is (0.179, 0.220).

Firstly, determine the sample proportion:
The number of students reading at or below the eighth-grade level = Total students sampled - Students reading above the eighth-grade level

The number of students reading at or below the eighth-grade level = 1042 - 834

The number of students reading at or below the eighth-grade level= 208 students.
Sample proportion (p) = 208/1042

p = 0.1996 (rounded to four decimal places).

Now, we will determine the standard error (SE) for the sample proportion:
SE = √(p * (1 - p) / n)

= √(0.1996 * (1 - 0.1996) / 1042)

≈ 0.0124 (rounded to four decimal places)

Now, determine the z-score corresponding to the 90% confidence interval:
Since it is a 90% confidence interval, we will look for the z-score that has 0.05 in each tail (1 - 0.90 = 0.10, and 0.10 / 2 = 0.05). The z-score for a 90% confidence interval is 1.645.

Now, calculating the margin of error (ME):
ME = z-score * SE

= 1.645 * 0.0124 ≈ 0.0204 (rounded to four decimal places)

Lastly, constructing the 90% confidence interval:
Lower limit = p - ME

= 0.1996 - 0.0204

= 0.179 (rounded to three decimal places)
Upper limit = p + ME

= 0.1996 + 0.0204

= 0.220 (rounded to three decimal places)

So, the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth-grade level is (0.179, 0.220).

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Answer:

c = 0.17w + 0.42

$1.10

Step-by-step explanation:

Let total cost = c.

Let number of ounces = w.

total cost = fixed cost + cost per ounce

fixed cost = $0.42

cost per ounce = $0.17

cost for w ounces = $0.17w

total cost = fixed cost + cost per ounce

     c         =       0.42    +        0.17w

The expression is:

c = 0.17w + 0.42

For 4 ounces, w = 4.

c = 0.17 × 4 + 0.42

c = 1.1

Answer:

c = 0.17w + 0.42

$1.10