I need help asap, its due tonight

Answer:

3

Step-by-step explanation:

3

Volume = base area x height

Base area = Length x width = 10 x 8 = 80 in2

Volume = 80 in2 x 6 in = 480 cubic inches

Using the property m(b - a) ≤ ∫[a,b] f(x) dx ≤ m(b - a), where m is the absolute minimum and M is the absolute maximum of f(x) on the interval [a, b], we can estimate the value of the integral ∫[a,b] 7 tan(3x) dx to be between 7(b - a)/12 and 7(b - a)/9.

Step 1: Understanding the Property

The property states that if a function f(x) is bounded by its absolute minimum (m) and maximum (M) on an interval [a, b], then the integral of f(x) over that interval is between m multiplied by the length of the interval (b - a) and M multiplied by the length of the interval.

Step 2: Applying the Property

In this case, the function f(x) is 7 tan(3x), and the interval is [a, b]. To estimate the value of the integral, we can use the property as follows:

m(b - a) ≤ ∫[a,b] f(x) dx ≤ M(b - a)

where m and M represent the absolute minimum and maximum values of f(x) on the interval [a, b].

Step 3: Estimating the Value

Since 7 tan(3x) is bounded between m and M, we can estimate the integral to be between m(b - a) and M(b - a). Therefore, the estimated value of the integral ∫[a,b] 7 tan(3x) dx is between 7(b - a)/12 and 7(b - a)/9.

To obtain a more precise estimation or the exact value, specific values of a, b, m, and M need to be known or further calculations need to be performed.

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The expected length of the first run in a sequence of binary data can be determined using probability calculations.

Let p be the probability of obtaining a 1 and (1 - p) be the probability of obtaining a 0. The probability of the first run ending at any given position is (1 - p), as it would require a transition from 1 to 0. The probability of the first run not ending at each position is p, as it would require a continuation of consecutive 1s.

Let q be the probability of obtaining a 0 after the first run of consecutive 1s. The probability of the second run ending at any given position is q, as it would require a transition from 0 to 1. The probability of the second run not ending at each position is (1 - q), as it would require a continuation of consecutive 0s.

Considering that the second run must start with a 0, the expected length of the second run can be calculated as 1/(1 - q).

The specific values of p and q would need to be provided to calculate the exact expected lengths of the first and second runs.

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Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

Answer:

180 boys

Step-by-step explanation:

If there is a ratio of 9 boys : 11 girls

9 + 11 = 20 total

And if there are 400 students total in the school

400/20 = 20.

9 * 20 = 180

11 * 20 = 220

So the ratio of 400 pupils would now be 180 boys: 220 girls

Answer:

This question is unanwserable without the "Spider Tool" If you would like to revise it i'd be happy to help

Step-by-step explanation:

But the units are degrees

If we plug in n = 1, 2, 3, ..., we get the terms of the sequence as follows:

a(1) = 5(1) + 15 = 20

a(2) = 5(2) + 15 = 25

a(3) = 5(3) + 15 = 30

a(4) = 5(4) + 15 = 35

and so on.

Binomial refers to a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials.

a) The given sequence increases by 5 with each term. Therefore, the formula to generate this sequence is:

a(n) = 5n + 1,

where n ≥ 1

So, if we plug in n = 1, 2, 3, ..., we get the terms of the sequence as follows:

a(1) = 5(1) + 1 = 6a(2) = 5(2) + 1 = 11

a(3) = 5(3) + 1 = 16

a(4) = 5(4) + 1 = 21

a(5) = 5(5) + 1 = 26

and so on.

b) The given sequence increases by 5 with each term.

Therefore, the formula to generate this sequence is:

a(n) = 5n + 15,

where n ≥ 1

So, if we plug in n = 1, 2, 3, ..., we get the terms of the sequence as follows:

a(1) = 5(1) + 15 = 20

a(2) = 5(2) + 15 = 25

a(3) = 5(3) + 15 = 30

a(4) = 5(4) + 15 = 35

and so on.

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The correct way to write a confidence interval is an option [LU]

A confidence interval is typically written as [lower bound, upper bound], where the square brackets indicate that the bounds are included in the interval.

For example, a 95% confidence interval for a population mean might be written as [15.2, 20.8]. This means that we are 95% confident that the true population mean lies between 15.2 and 20.8.

In the answer choices, option (O [LU]) is the correct way to write a confidence interval because it follows this convention of using square brackets to indicate the inclusion of the bounds.

Option (O [LU)) uses a parenthesis for the upper bound, which could be confusing since parentheses typically indicate exclusion.

Options (O (UL)) and (O (UL)) switch the order of the bounds, which would be incorrect since the lower bound should come first.

The other options either use parentheses instead of brackets or reverse the order of the bounds, which are both incorrect.

Therefore,

The correct way to write a confidence interval is an option [LU]

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Answer:

Step-by-step explanation:

Coordinates of point B in terms of A and C:

Find the coordinates:

​To find \(\(\frac{dy}{dx}\)\)using implicit differentiation, we differentiate both sides of the equation \(\(7x^3 + 9xy^2 = 3x^3\)\)with respect to \(\(x\)\), so the value of \(\(\frac{dy}{dx} = \frac{-4x^2 - 3y^2}{6xy}\)\).

Differentiating the left side: \(\(\frac{d}{dx}(7x^3 + 9xy^2) = \frac{d}{dx}(3x^3)\)\)

Using the sum rule and the product rule of differentiation, we get:

\(\(21x^2 + 9y^2 \frac{dx}{dx} + 9x \cdot 2y \frac{dy}{dx} = 9x^2\)\)

Simplifying further: \(\(21x^2 + 9y^2 + 18xy \frac{dy}{dx} = 9x^2\)\)

Next, we isolate \(\(\frac{dy}{dx}\)\)by moving the terms involving it to one side:

\(\(18xy \frac{dy}{dx} = 9x^2 - 21x^2 - 9y^2\)\)

\(\(18xy \frac{dy}{dx} = -12x^2 - 9y^2\)\)

Finally, we can solve for \(\(\frac{dy}{dx}\)\): \(\(\frac{dy}{dx} = \frac{-12x^2 - 9y^2}{18xy}\)\)

Simplifying the expression: \(\(\frac{dy}{dx} = \frac{-4x^2 - 3y^2}{6xy}\)\)

Hence, \(\(\frac{dy}{dx} = \frac{-4x^2 - 3y^2}{6xy}\).\)

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The lateral surface area of the triangular prism container is 270 cm².

We will begin with the calculation of perimeter of equilateral triangle.

Perimeter = 3 × sides

Perimeter = 3 × 6

Perimeter = 18 cm

Now calculating the lateral surface = perimeter of base × height

Keep the values in formula

Lateral surface of equilateral triangle prism = 18 × 15

Performing multiplication again

Lateral surface area = 270 cm²

Thus, the lateral surface area of the container is 270 cm².

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The picture is added of equilateral triangle with dimensions.

As per the given scenario, the center of the circle is (-4, -1), and the radius is 5.

To complete the square as well as find the center and radius of the circle represented by the equation \(x^2 + y^2 + 8x + 2y - 8 = 0\), we need to rearrange the equation.

The x-terms and y-terms together:

(x^2 + 8x) + (y^2 + 2y) - 8 = 0

To complete the square for the x-terms, we take half of the coefficient of x (which is 8), square it, and add it to both sides:

\((x^2 + 8x + 16) + (y^2 + 2y) - 8 - 16 = 16\\(x + 4)^2 + (y^2 + 2y) - 24 = 16\)

The square for the y-terms by taking half of the coefficient of y (which is 2), square it, and add it to both sides:

\((x + 4)^2 + (y^2 + 2y + 1) - 24 - 1 = 16 + 1\\(x + 4)^2 + (y + 1)^2 - 25 = 17\)

Now, we have the equation in the form \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle, and r represents the radius.

Comparing the equation to the standard form, we can identify the center as (-4, -1), and the radius is the square root of 25, which is 5.

Thus, the center of the circle is (-4, -1), and the radius is 5.

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The length of the base of the rectangle with an area of 21 m and height of 2 m is 10.5 meters.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × breadth

Given that the area of the rectangle is 21 square meters and the height is 2 meters, we can substitute these values into the formula and find the base length:

A = length × breadth

21 = length × 2

To solve for the length, we divide both sides of the equation by 2:

Length = 21 / 2

Length = 10.5 m

Therefore, the length of the rectangle is 10.5 m.

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Answer:

3

Step-by-step explanation:

30 ×10%/100%=3

percentage is always out of 100 that's why 10%over 100%

hope this will help mate

Answer:

d. (-3,-1)

Step-by-step explanation:

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Answer:

3(7)

the answer is 21

Step-by-step explanation:

Answer:

the answer is 21.

3.1% To find the point estimate of the difference in the population proportion in Vermont and Hawaii, follow these steps:

1. Convert the percentages to proportions: Vermont had 65.3% who said yes, which is 0.653 as a proportion. Hawaii had 62.2% who said yes, which is 0.622 as a proportion.

2. Calculate the point estimate by finding the difference between the two proportions: 0.653 - 0.622 = 0.031.

The point estimate of the difference in the population proportion in Vermont and Hawaii is 0.031. This means that, based on the survey, the proportion of people who exercised more than 30 minutes a day for three days out of the week in Vermont was 3.1% higher than in Hawaii.

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The measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

When two angles are in the same segment, they have the same measure. This means that if you know the measure of one angle in a particular segment, you can determine the measure of any other angle in that segment.

angle z = angle C

angle C = 180° - (55 + 34 + 40)° {sum of interior angles of triangle ABC

angle C = 180° - 129°

angle C = 51°

also;

angle z = 51°

Therefore, the measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

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Answer:

True

Step-by-step explanation:

The statement is true. If a finite number of terms are added to a convergent series, then the new series is still convergent.

A convergent series is a series whose sum approaches a finite limit as the number of terms increases. When you add a finite number of terms to a convergent series, the sum of the series is simply increased by the sum of those additional terms. Since the original series converges to a finite limit, adding a finite sum to that limit will result in another finite limit, meaning that the new series will also be convergent.

In summary, adding a finite number of terms to a convergent series does not change its convergence properties and will result in a new convergent series with an updated finite limit.

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Answer: Here ya go! I hope this helps you out!

Answer:

Step-by-step explanation:

The two triangles ABE and CDE are congruent by ASA axiom of congruency.

Two figures are said to be congruent if they are similar in shape, area and mirror images of one another.

Triangles can be proved congruent by various axioms of congruency such as SSS , ASA, SAS and RHS .

In the figure we can see that:

BE=ED(given)

∠BAE=∠ECD (alternate angles as AB || DC)

∠ABEA=∠CDE (alternate angles as AB || DC)

Therefore:

ΔABE ≅ ΔCDE (By ASA axiom of congruency)

So the two triangles are congruent by ASA axiom of congruency.

Disclaimer: The missing picture is attached below with the solution.

Prove ΔABE ≅ ΔCDE

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The events that have a probability of 0.5 or greater are a,b,d.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however possible an incident is to occur, or however possible it's that a proposition is true. The chance of an incident could be a variety between zero and one,

Main body:

In this question , we need to find events with probability of 0.5 or greater.

A)

P(Flipping a fair coin and having it land on heads ) = 1/2

                                                                                    = 0.5

so it is  a event which are we looking for.

B)

P(Rolling a fair number cube and getting a 3, 5, or a 6) = 3/6

                                                                                           = 1/2 = 0.5

so it is  a event which are we looking for.

C)

P(Rolling a fair number cube and getting a 5 or a 6) = 2/6

                                                                                      = 1/3 0..3

so it is not a event which are we looking for.

D)

P(Rolling a fair number cube and getting a number that is not 5.)= 5/6

                  =0.84

so it is  a event which are we looking for.

Hence , event a,b,d are events that have a probability of 0.5 or greater.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

The solution to the differential equation y'' + 4y' + 4y = 25cos(t) + 25sin(t), with initial values y(0) = 1 and y'(0) = 1, is \(y(t) = e^(^-^2^t^) * (1 + 2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

To solve the given second-order linear homogeneous differential equation, we first find the complementary solution by solving the characteristic equation. The characteristic equation for the given differential equation is r² + 4r + 4 = 0. Solving this equation gives us a repeated root of -2.

The complementary solution is then obtained as \(y_c(t) = (c1 + c2t) * e^(^-^2^t^)\), where c1 and c2 are arbitrary constants.

To find a particular solution, we assume a solution of the form y_p(t) = A * sin(t) + B * cos(t), where A and B are constants to be determined. We substitute this assumed solution into the differential equation and solve for A and B.

By substituting the given initial conditions y(0) = 1 and y'(0) = 1 into the general solution, we can solve for the arbitrary constants c1 and c2. This yields c1 = 1 and c2 = 1.

Finally, the complete solution is obtained by adding the complementary and particular solutions, resulting in\(y(t) = y_c(t) + y_p(t) = (1 + t) * e^(-2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

This solution satisfies the given differential equation and the initial conditions.

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