PLEASE HELP!!! Make sure to show your work.
1)How many triangles can be constructed
with angles measuring 16˚, 38˚ and 126˚?
Circle one answer:
A) None
B) One
C) Infinite (More than one)

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = [tex]\int^{b}_{a}\frac{1}{2}r^2d\theta[/tex]

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = [tex]\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta[/tex]

A = [tex]\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta[/tex]

A = [tex]\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta[/tex]

A = [tex]\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta[/tex]

A = [tex]\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}[/tex]

A = [tex]\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right][/tex]

A = [tex]\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right][/tex]

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, 0.333 is the maximum probability estimate for the bias of this coin .

The maximum likelihood estimate for the bias of a coin is the ratio of the number of times it has come up heads to the total number of outcomes. In this case, the maximum likelihood estimate is 10/30, or 0.333. This is the most likely bias of the coin, rounded to the nearest 0.001. if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, 0.333 is the maximum probability estimate for the bias of this coin .

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Answer:

[tex]\sin(\theta ) = \dfrac{\textrm{opposite}}{\textrm{hypotenuse}}[/tex]

Hence,

[tex]\sin(A) =\dfrac{20}{29}[/tex]

The new wage is £11.1

From the question, we have the following parameters that can be used in our computation:

Old wage = £10

Increase = 11%

The new wage is calculated as

New wage = Old wage  * (1 + Old wage)

Substitute the known values in the above equation, so, we have the following representation

New wage = £10 * (1 + 11%)

So, we have

New wage = £11.1

From the question, we have the following parameters that can be used in our computation:

Old price = £35

Decrease = 17%

The new price is calculated as

New price = Old price * (1 - Decrease)

Substitute the known values in the above equation, so, we have the following representation

New price = £35 * (1 -17%)

So, we have

New price = £29.05

Here, we have

Old distance = x

Improvement = 19%

The new price is calculated as

New distance = Old distance * (1 + Improvement)

Substitute the known values in the above equation, so, we have the following representation

New distance = x * (1 + 19%)

So, we have

New distance = 1.19x

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Applying the formula for the slope of a line, the value of x = 4.

To find the slope of a line, the following formula or equation can be employed:

Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

Given the following points, (6, z) and (-3, 5) lies on a line that has a slope of -1/9, to find the value of z, follow the steps below:

Let (6, z) be represented as [tex](x_1, y_1)[/tex]

Let (-3, 5) be represented as [tex](x_2, y_2)[/tex].

m = -1/9

Plug in the values:

-1/9 = (5 - z) / (-3 - 6)

-1/9 = (5 - z) / -9

Cross multiply:

-1 × -9 = (5 - z) × 9

9 = 45 - 9z

9 - 45 = -9z

-36 = -9z

Divide both sides by -9:

-36/-9 = -9z/-9

4 = z

z = 4

The value of z is: 4.

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Answer:

I don't know what is the answer

For the given data for the reaction, 2 A + 2 B + 4 C => D + E + 3 F, the reaction is zero order in A, second order in B, first order in C and third order overall.

Let the order of reactions be a, b and c for reactions A, B and C respectively.

Then A^{a}B^{b}C^{c} ∝ R

Considering experiment 1 and 2, only concentration of A changes but it has no effect in the total. So a = 0.

Considering experiment 2 and 3, concentration of A and B changes, but it is found that A has no effect. So

(B₃ / B₂)^{b} = (R₃ / R₂)

(0.4/ 0.2)^{b} = (0.008/ 0.002)

2^{b} = 4

Therefore b = 2

Considering experiment 2 and 4

(A₄/ A₂)^{a}(B₄/B₂)^{b}(C₄/ C₂)^{c}= (R₄/ R₂)

(0.4/ 0.2)^{0}(0.6/ 0.2)^{2}(0.2/ 0.4)^{c}= (0.009/ 0.002)

3² × 0.5^{c} = 9/ 2

c = 1

Overall order of reaction  = a + b + c

= 0 + 2 + 1

= 3

--The question is incomplete, answering to the question below--

"Given the data below for the reaction, 2 A + 2 B + 4 C => D + E + 3 F, the reaction is _____________ order in A, _______________ order in B, ______________ order in C and ______________ order overall."

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The critical points for the inequality (2x+5/x+2>_ x-1/x-2), are x = -2 and x = 2. Option A

Generally, To find the critical points for the inequality, you need to set the expression on the left side of the inequality equal to zero and solve for x. This will give you the values of x where the inequality changes direction.

In this case, the inequality is:

2x + 5/(x + 2) > 0

To find the critical points, you can set the expression on the left side equal to zero and solve for x:

0 = 2x + 5/(x + 2)

0 = 2x + 5 - 5/(x + 2)

0 = 2x - 5 + 5/(x + 2)

0 = 2x - 5 + 5(x + 2)/(x + 2)

0 = 2x - 5 + 5x + 10

0 = 7x - 15

x = -2, x = 2

Therefore, the critical points for the inequality are x = -2 and x = 2.

It is not correct to say that the critical points are x = -6 and x = 2, x = -4 and x = 2, or x = 2. These values do not correspond to any points where the inequality changes direction.

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Answer: B -6 and x=2

Step-by-step explanation: for edgen.

Answer: n > 3

Step-by-step explanation:

A circle above 3 going right

The order of the side lengths from least to greatest is; GH< IH< FG< GI< FH.

What is the order of the side lengths from least to greatest?

As with other closed geometric figures, the shortest side length is opposite the smallest angle measure while the longest side length, is opposite the greatest angle measure.

Hence, it follows from the statement above that the order of side lengths is; GH< IH< FG< GI< FH.

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Answer:

d. y = (x - 1)(x-3)²(x + 2)²

Step-by-step explanation:

When there is a local max or local min on the x-intercept, then the function on the x-intercept is raised to an even power.

At x=3 and x=-2, the function goes up then down, or down then up.

If the function goes through an x-intercept when there is no local max or local min on the x-intercept, then the function on the x-intercept is raised to an odd power.

At x=1, the function goes through the x-intercept.

Hence, d is the answer.

The well's diameter is between 9 and 10 inches, its rim is 1 to 2 inches wide, it can go up to 1 12 inches deep, and its circumference is between 6 and 7 inches..

Every bowl—including those with saucers—should be set on an underplate. has a flanged rim, a broad, shallow bowl. The well is 6 to 7 inches across, with a diameter of 9 to 10 inches, a rim that is 1 to 2 inches wide, and a depth of up to 1 12 inches. the sole soup bowl used for a formal supper.

The average capacity of a normal bowl is 8 to 12 ounces. The soup bowl, that may or may not have handles, and the finger bowls,

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Answer:

A. 35 degree

Step-by-step explanation:

The 116-degree angle must add with the inside angle to get 180. The inside angle is 64 degrees.

81 + 64 = 145

A triangle has 180 degree

180 - 145 = 35 degree

So, the answer is A

Mr. Green mowed more of the lawn. 2/5 of the lawn still needs to be mowed, according to the concept of proportion or ratio.

To get this answer, we can first set up a proportion or ratio to compare how much of the lawn each person mowed. Mr. Green mowed 2/5 of his lawn and his son mowed 1/3 of it.  

2/5 = x/1, We can then cross multiply to solve for x.

2x = 5/3 x = 5/6  Since 5/6 is greater than 1/3, this means that Mr. Green mowed more of the lawn than his son. This means that 2/5 of the lawn still needs to be mowed.

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The division of the polynomial x^2 + 2*x - 6 by (x + 1), using the long division method of dividing polynomials is x + 1 - 7/(x + 1)

The long division method allows the division of large numbers (which is the dividend) into the number of groups of the divisor and a remainder which is a value less than the expressed value of the divisor.

The expression \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 can be presented as follows;

The long division showing the steps can be obtained using code found online as follows;

[tex]\begin{array}{*1r {\arraycolsep}{\arraycolsep} *{11}l} & && x + 1 \\\cline{4-3}& &x+1& \longdiv {) x^2 +2\cdot x - 6& & & & & \\ & & & x^2 +x \\\cline{4-} && &\ \ \ x -6& \\ & & \ \ \ & \ \ \ x +1 \\\cline{4-} & & & \ \ \ \ \ \ \ -7 & \\ \cline{4-} \end{array}[/tex]

The remainder of the long division is -7, therefore, we get;

[tex]\dfrac{x^2+2\cdot x-6}{x + 1} = x + 1 - \dfrac{7}{x+1}[/tex]

The value of the expression, \_f_rac{x}{y} x^2 + 2*x - 6/x + 1 following the long division is; x + 1 - 7/(x + 1)

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Considering the expression of a line, the equation of the line that passes through the pair of points (−4, −1) and (5, 7) is y=8/9x + 23/9.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of the line can be calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression y = mx + b, the value of the ordinate to the origin b can be obtained.

Being (x₁, y₁)= (-4, -1) and (x₂, y₂)= (5, 7), the slope m can be calculated as:

m= (7 - (-1))÷ (5 - (-4))

Solving:

m= (7 +1)÷ (5 + 4)

m= 8÷ 9

m= 8/9

Considering point 2 and the slope m, you obtain:

7= 8/9×5 + b

7= 40/9 +b

7-40/9= b

23/9=b

Finally, the equation of the line is y=8/9x + 23/9.

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The time taken by Bert to travel 50 miles distance with constant speed 30 miles per hour is an hour 40 minutes. So, right answer is option (b).

Speed is defined as the rate at which a particular object able to move or operate. It is a ratio of amount of distance to the time. Speed of object may be fast , slow or constant. The constant speed means there is no increase or decrease in speed during rides.

We have,bert's constant speed=30 miles/hour .

We have to calculate the time taken by Bert to travel 50 miles, i.e distance = 50 miles . Let "t hours " be time taken by Bert to travel 50 miles.

Speed= distance/time

=> time = distance/speed

=> t = 50 miles /30 miles/1 hour

=> t = 5/3 hours

Conversion of hours into minutes :

one hour = 60 minutes

5/3 hour =( 5/3 )× 60 minutes

=> 5/3 hour = 100 minutes = 60 minutes + 40 minutes= 1 hour 40 minutes

So, required time is 1 hour 40 minutes.

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Complete question:

bert is driving along a country road at a constant speed of 30 miles per hour. how long does it take him to travel 50 miles? make sure to convert the answer into hours and minutes.

a)an hour and 30 minutes

b) an hour and 40 minutes

c)an hour and 15 minutes

d)an hour and 50 minutes

The chemical formula for ammonium carbonate is (NH₄)₂CO₃. Therefore, option (C) is correct.

When heated, ammonium carbonate, also known as ()2, rapidly breaks down into ammonia and carbon dioxide. It functions as a smelling salt and a leavening agent. Ammonium carbonate, often known as baker's ammonia, was used before baking soda and baking powder as leaveners.

Sal volatile contains ammonium carbonate, and salt of hartshorn when baked emits a strong odour. At standard pressure and temperature, two processes lead to the gradual breakdown of ammonium carbonate. The pure ammonium carbonate sample will combine with different byproducts.

Upon spontaneous dissociation, ammonium carbonate can separate into ammonium bicarbonate and ammonia. which results in the addition of more ammonia, carbon dioxide, and water.

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Answer:

The formula for the ammonium ion: NH4+

The formula for the nitrate ion: NO3–  

A chromate ion consists of four oxygen atoms bonded to a chromium atom. It has two extra electrons. The formula of this ion: CrO42–

Heres all three. Hope i helped

Answer:

Step-by-step explanation:

they are telling you the standard deviation ,  it's 500

then they ask, what's 3 times that.   It's kinda obvious,  when I put it in words like that so i'll let you do that math.  17,000 + (3*500) = ?

b)

17000 - (2*500) = ?

c)

This is the bell curve numbers of 1 deviation,    it's 68%, if you don't recall

d)

it will be  1/2 of the 2nd deviation, or  95% * 0.5  = 47.5%

e)

this is the tiny amount outside of the main part of the 2 deviation on the bell curve.

5% is outside of the 2nd deviation.   so it's half of that or  2.5%

Understand?????

:/

Answer:

0.44x + 0.85y <= 6

Step-by-step explanation:

We can write the total cost of the apples as 0.44x, and the total cost of the pears as 0.85y. Since the total cost cannot exceed $6, we can write the following inequality:

0.44x + 0.85y <= 6

This inequality represents the numbers of apples and pears you can buy at the market, given that you can spend at most $6.

Answer:

0.44x + 0.85y ≤ 6

Step-by-step explanation:

To represent the number of apples and pears you can buy, you can use the following inequality: 0.44x + 0.85y ≤ 6. This inequality states that the total cost of the apples and pears, which is 0.44x + 0.85y, must be less than or equal to $6. This means that you cannot spend more than $6 at the market, and the number of apples and pears you can buy is limited by this budget constraint.

When metal is composed of copper and zinc in a 3:2 by volume ratio, the mass of metal in a 100cm cube is 1600g.

A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province. The population percentage is marked by the letter p, whereas the sample proportion is denoted by the letter p. Thus, p=0.43 if 43% of individuals visiting a business make a purchase before leaving. If 78 customers out of 200 enter the store and make a purchase, p=78200=0.39.

Here,

1/8.9=100/x

x=890g

1/7.1=100/x

x=710g

Total mass of metal=890+710

=1600g

The mass of metal in 100cm cube is 1600g when metal is made up of copper and zinc in the ratio 3:2 by volume.

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By setting up the equation and solving we get the total amount of money was 1800.

A ratio is a way of comparing two or more quantities. It is expressed as a fraction or a decimal, and it represents the relative sizes of the quantities being compared.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically consists of two expressions separated by an equals sign (=), and it states that the expressions are equal in value.

we can set up the following equation:

(2700 / X) = (3 / 4)

We can solve this equation for X by multiplying both sides by X:

2700 = (3 / 4) * X

2700 = (3 / 4) * X

5400 = 3X

X = 5400 / 3

X = 1800

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The assumption of normality is important for valid results. If the residuals do not follow a normal distribution, then confidence intervals may not be accurate and should not be trusted.

The assumption of normality is a key element of statistical analysis. It suggests that a dataset follows a normal bell-shaped curve, which is important for reliable results. If the residuals of a dataset do not follow a normal distribution, then the assumptions of statistical techniques such as confidence intervals, least-squares formulas, and sample randomness, may be unreliable. This means that the results of any statistical analysis will be affected and not be as accurate as they could be. In this case, confidence intervals may be particularly unreliable since they rely on the assumption that the data is normally distributed. Therefore, if the residuals do not follow a normal distribution, it is important to investigate further to ensure the accuracy of the results.

example;

The mean of the data is 8.3 and the standard deviation is 4.2.

We can calculate the z-score for any given value by subtracting the mean from the value and then dividing by the standard deviation.

if the value is 16, then the z-score would be:

z = (16 - 8.3) / 4.2 = 2.33.

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A square's area an is growing at a rate of 6 cm2 each minute. The side length of the square is increasing at a rate of 2.45 cm/min.

The side length of a square is related to the area of the square by the equation side length = square root of (area). That means, if the area is increasing, the side length of the square is also increasing. To calculate the rate at which the side length is changing, we can take the derivative of the equation side length = square root of (area) with respect to time. This gives us a rate of change of 2.45 cm/min. This means that for every minute the area increases by 6 cm2, the side length of the square will increase by 2.45 cm.

Rate of change = d(side length) / dt

= (1/2) * (d(area) / dt) / (square root of (area))

= (1/2) * (6 cm2/min) / (square root of (area))

= 2.45 cm/min

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Answer:

$358.4

Step-by-step explanation:

To calculate the salesperson's commission, you can multiply the total sales by the commission rate. In this case, the commission is $3600 * 0.099 = $<<3600*0.099=358.4>>358.4. So the salesperson's commission would be $358.4.

Answer:

Step-by-step explanation:

1) Do what's in the parentheses first. (5 - 2 = 3)

2) 4x times 3 = 12x

3) 12x + 4

To solve for x when y is given, we can use the given equation y=(1/4)x.By multiplying both sides of the equation by 4.x=28, we may find the value of x.

To solve for x when y is given, we can use the given equation y=(1/4)x. By multiplying both sides of the equation by 4.x=28, we may find the value of x. This gives us the equation 4y=x. Then, we can substitute the given value of y, 7, into the equation. This gives us 4(7)=x. Simplifying this equation gives us 28=x, which is the value of x when y is 7.

y=(1/4)x

4y=x

4(7)=x

28=x

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By RHS congruence criterion, since it is given that EB=BD, AE=CB, ∠A=∠C=90°

RHS Congruence Property:

Two right triangles are congruent if the hypotenuse and one side of the first triangle are respectively equal to the hypotenuse and one side of the second.

If the length of the hypotenuse and one side of one triangle is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

ΔABE ≅ ΔACD

The hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle.

Therefore,

ΔABE≅ΔCDB.

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Answer:

100÷3 = 33.33, so 33.33 minutes