A, B and C form the vertices of a triangle.
BC = 6.9cm and

CBA = 137°.
Given that the area of the triangle is 12.6cm2, calculate the perimeter of the triangle rounded to 1 DP

Answers

Answer 1
Answer 23.7cm

Explanation is in the photo:
A, B And C Form The Vertices Of A Triangle.BC = 6.9cm And CBA = 137.Given That The Area Of The Triangle

Related Questions

15 POINTS!! ASAP TYYY

Answers

Answer:

A

Step-by-step explanation:

She earns $15 per poinsettia.

Which expression is equivalent to (x-3)(2x^(2)-3x-1)

Answers

The "Expression" which is considered equivalent to this expression "(3x-1)-2(x+2)' is (c) x-5.

In mathematics, an algebraic expression is a combination of numbers, variables, which are joined by arithmetic operations (such as addition, subtraction, multiplication, and division).

We have to find the equivalent-expression for (3x-1)-2(x+2);

⇒ (3x-1)-2(x+2),

⇒ (3x - 1) - 2x - 4,

Combing the like-terms together in the above expression,

We get,

⇒ 3x - 2x -1 - 4,

⇒ x - 5,

Therefore, the correct equivalent expression is Option (c).

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The given question is incomplete, the complete question is

Which of the following expression is equivalent to (3x-1)-2(x+2)?

(a) x+3

(b) x+1

(c) x-5

(d) x-3

(3d). Mary decided to open a uniform cleaning service at GTUC. When she started the business she had to purchase an Ironing Board for $15 and an Iron for $35. Also, she figured it would cost $1.25 in cleaning products for each uniform, so she decided she was going to charge $3.25 for cleaning and pressing one entire uniform i. Write a system of equations that would represent the above scenario. ii. How many uniforms does Mary have to clean in order to break even? ​

Answers

she needs to clean 15 uniforms to break even

A population of values has a normal distribution with a mean of 246 and a standard deviation of 89.7. You intend to draw a random sample of size m = 158.

Answer the following, rounding your answers to three decimals where appropriate.

Find the probability that a sample of size n = 158 is randomly selected with a mean greater than 242.4.
P(M>242.4) = ???

Answers

The probability that a sample of size n = 158 is randomly selected with a mean greater than 242.4 is 0.751.

How to calculate the probability

z = (x - μ) / (σ/√n)

where x is the sample mean.

Substituting the values, we get:

z = (242.4 - 246) / (89.7/√158) ≈ -0.670

We want to find the probability of obtaining a sample mean greater than 242.4, which is equivalent to finding the probability of obtaining a standardized sample mean greater than z = -0.670. We can use a standard normal distribution table or calculator to find this probability.

P(z > -0.670) ≈ 0.751

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In the diagram below, BE intersects AD at C, AB | DE. If CD = 4.2 and AB = 9.6, what is the length of
BC to the nearest tenth of a centimeter?

Dont mind the writing

Answers

The length of BC, to the nearest tenth of a centimeter, is calculated as: 12.6 centimeter.

How to Find the Length of the Indicated Side?

Recall that two similar triangles will always have side lengths that are proportional in length. The triangles shown are similar to each other, therefore, the proportion below would be true:

AC/CE = BC/CD

Given the following:

AC = 7.2 units

CE = 2.4 units

CD = 4.2 units

BC = ?

Plug in the values:

7.2/2.4 = BC/4.2

Cross multiply:

BC = 7.2 * 4.2 / 2.4

BC = 12.6 cm

Thus, the length of side BC in the similar triangles shown is approximately 12.6 cm.

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An ant crawled 2/8 yard from an ant mount. On which number line does point A represent the ants position after crawling 2/8 yard?

Answers

The number line on which point A represents the ant's position after crawling 2/8 yard would be a number line labeled in units of yards, with O representing 0 and A representing 1/4 yard to the right of O.

To decide the place of the insect subsequent to creeping 2/8 yard from the insect mount, we really want to address this distance on a number line.

Since 2/8 can be rearranged to 1/4, we can address the distance crept by the subterranean insect as 1/4 of a yard.

To develop a number line to address this distance, we can begin with the point addressing the subterranean insect mount (we should call it point O) and separate a distance of 1/4 of a yard to one side of O. This point, which we can name as point A, addresses the place of the insect subsequent to creeping 2/8 yard (or 1/4 yard) from the insect mount.

The number line would have units of yards, with the distance between every unit separated similarly. The point O would address 0 on the number line, and the point A would address 1/4 yard on the number line.

Thus, the number line on which point An addresses the insect's situation in the wake of creeping 2/8 yard would be a number line named in units of yards, with O addressing 0 and An addressing 1/4 yard to one side of O.

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The complete question is:

An ant crawled 2/8 yard from an ant mount. On which number line does point A represent the ants position after crawling 2/8 yard?

when the sun is 35° above the horizon. how long is the shadow cast by a building 15 metres high?​

Answers

Therefore , the solution of the given problem of trigonometry comes out to be approximately 21.424 metres long when the sun is 35 degrees above the horizon.

What is trigonometry?

Some people assert that the growth of astrophysics was influenced by the merging of various fields. Many metric problems can be solved or the result of a calculation can be ascertained with the use of exact mathematical techniques. Trigonometry is the study of the six basic geometric calculations from a scientific perspective. They go by many other names and acronyms, including sine, variance, direction, and others. (csc).

Here,

When the sun is at a 35° elevation angle and the structure is 15 metres tall, we want to determine the length of the shadow (on the next side).

Let x represent the desired shadow's length. Next, we have

=> tan 35° = 15/x

When we multiply both sides by x, we obtain:

=> x tan 35° = 15

By dividing both sides by 35° of tan, we obtain:

=> x = 15 / tan 35°

We may calculate the value of the tangent of 35 degrees using a calculator:

=> tan 35° ≈ 0.7002

Next, we have

=> 15x/0.702x=21.424 metres

Consequently, a building 15 metres high will create a shadow that is approximately 21.424 metres long when the sun is 35 degrees above the horizon.

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Help pleaseee


Expand the logarithm as much as possible


logy^10

Answers

The expanded form of log y^10 is either 10 log y or 10 ln y

Expanding the logarithm

Assuming that the base of the logarithm is not specified, we can use the change of base formula to expand the logarithm:

log y^10 = log (y^10) / log (base)

Since the base is not specified, we can use any base we like. For example, we can use base 10 or base e (natural logarithm).

Using base 10:

log y^10 = log (y^10) / log 10

= 10 log y / 1

= 10 log y

Using natural logarithm:

log y^10 = log (y^10) / log e

= 10 log y / 1

= 10 ln y

Therefore, the expanded form of log y^10 is either 10 log y or 10 ln y, depending on the base used.

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Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43. What would her answer have been if she had worked the problem correctly?

Answers

Using mathematical operations, Cindy's answer would have been 15 if she had worked the problem correctly by following her teacher's instructions.

How is the correct value determined?

The correct value can be determined by reversing Cindy's calculations to find the certain number as follows:

(x - 9) ÷ 3 = 43

x = 43 x 3 + 9

x = 138

With the certain number, x = 138, the correct mathematical operations can be performed as follows:

Correction Operation:

(138 - 3) ÷ 9

135 ÷ 9

= 15

Thus, Cindy's correct answer would have been 15 if she had performed the correct mathematical operations, according to her teacher's instructions.

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Girish left his home at 7 45 and travelled to Muar, which was 120 km away. He arrived
at Muar 2 h later. After staying 1 2/3 hours in Muar, he travelled from Muar back to his home
along the same route at a speed which was 20 Km/h slower than his previous speed.
At what time did Girish reach home?

Answers

Answer:

2:35

Step-by-step explanation:

it takes 2 hours to get to Muar so 9:45

he spends 1 hour 40 in muar so 11:35

he went at 60 Km/h before so he returns at 40Km/h so it takes 3 hours so 2:35

A meter in a taxi calculates the fare using the function f(x) = 2.56x + 2.40. If x represents the length of the trip, in miles, how many miles can a passenger travel for $20?

Answers

A passenger can travel 6.875 miles for $20 using the given taxi fare function.

To determine how many miles a passenger can travel for $20 using the taxi fare function f(x) = 2.56x + 2.40, we need to set up an equation and solve for x.

The equation we need to solve is:

2.56x + 2.40 = 20

To solve for x, we can start by subtracting 2.40 from both sides of the equation:

2.56x = 17.60

Next, we can divide both sides by 2.56:

x = 6.875

This calculation assumes that the fare is based solely on distance and that there are no additional fees or charges.

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Line g has an equation of y = 2x + 1. Line h includes the point (-5, 2) and is perpendicular
to line g. What is the equation of line h?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Submit

Answers

The equation of line h is: y = (-1/2)x - 1/2

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Line g’s equation is already in the correct form. If line g has a slope m=ab, then line h perpendicular to it will have a slope m⊥=−ba.

2/1 = 2, so the reciprocal is 1/2. It will also be negative to become: y= (-1/2)x + b.
We want to find the y-intercept, b.

Plug in the coordinate that line h passes through (-5,2) for the (x,y) values in the equation.
2 = (-1/2)(-5) + b
2 = 5/2 + b
Subtract 5/2 from both sides:
Note that 2 is equal to 4/2, which makes it easier to deal with.
(4/2) - (5/2) = b

Simplify:
-1/2 = b.

Put all values into line h’s equation, and y = (-1/2)x - 1/2.

Which of these expressions is equivalent to log (128^)?
OA. log (8) - log (12)
OB. 8 log (12)
C. log (8) log (12)
D. log (8) + log (12)
.

Answers

O think the answer is c

determine the values of the six trigonometric functions of (- pi / 2 )
with work shown please.

Answers

Answer:

[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = -1\\\\[/tex]

[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)= 0\\\\[/tex]

[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = -\dfrac{1}{0}[/tex]   is not defined

[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) =-1\\\\[/tex]

[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac {1}{0}\\[/tex]  is not defined

[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) =\:0[/tex]

Step-by-step explanation:

[tex]\text{Values of trig functions for $-\dfrac{\pi}{2}$ are: }\\\\[/tex]

[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = - sin\left(\dfrac{\pi}{2}\right) = -1\\\\[/tex]

[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)=\cos \left(\dfrac{\pi }{2}\right) = 0\\\\[/tex]

[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = \dfrac{sin\left(-\dfrac{\pi}{2}\right)}{cos\left(-\dfrac{\pi}{2}\right) } = \dfrac{-1}{0}[/tex]
This is undefined since division by zero is undefined

[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{sin\left(-\dfrac{\pi }{2}\right)} = \dfrac{1}{-1} =-1\\\\[/tex]

[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{\cos\left(-\dfrac{\pi }{2}\right)} = \dfrac {1}{0}[/tex]
This is undefined

[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) = \dfrac{cos\left(-\dfrac{\pi }{2}\right)}{sin\left(-\dfrac{\pi }{2}\right)}\:=\:\dfrac{0}{-1\:}=\:0[/tex]

f(x)=4x-3
g(x)-3x+3
find f(9)/g(9)

Answers

Hello, hope this helps, goodluck!

The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.

Likely.
Unlikely.
Equally likely and unlikely.
This value is not possible to represent probability of a chance event.

Answers

The likelihood that the first question will be true is equally likely and unlikely.

Interpreting the likelihood that the first question will be true.

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

The teacher gave a true and false quiz where P(true) = 0.5 for each question.

This means that

P(true) = 0.5

As a percentage,, we have

P(true) = 50%

When the probability of an event is 50%, then the event is equally likely and unlikely.

Hence, the liikelihood is (c) qually likely and unlikely.

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Identify the null and alternative hypotheses
Statistics!

Answers

The null and the alternate hypothesis are:

H₀: p ≤ 0.5H₁: p > 0.5

How to write the hypothesis

In hypothesis testing, we take the null hypothesis (H₀) and the alternative hypothesis (H₁). The null hypothesis is the opposite of the claim , while the alternative hypothesis states  the claim.

In this case, the null hypothesis is that a majority of adults would not erase their personal information online if they could (i.e., 50% or less of them would do so). The alternative hypothesis is that a majority of adults would erase their personal information online if they could (i.e., more than 50% of them would do so). In symbolic form:

H₀: p ≤ 0.5

H₁: p > 0.5

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I need help please


here is the picture is about Row Ops

Answers

The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:

[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]

Reducing row matrices

From the question, we are to perform the given row operation on the given matrix

From the given information, the given matrix is:

[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right][/tex]

We are to carry out the operation

Add -4(row 1) to row 3

This means we should multiply row 1 by -4

-4 × [ 1     2    1   | -5

       -4   -8   -4  | 20

Now, we will add the result to row 3

4    -1     6  |  -8

-4   -8   -4  | 20

------------------------

0    -9    2  |  12

Hence,

The resulting matrix becomes

[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]

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Ignatio and his two friends each bought a ticket to play lazer tag and each spent $15 on game tokens at Fun Mountain. Let t represent the cost of a lazer tag ticket. Enter an expression that represents the total amount that Ignatio and his friends spent.

Answers

The expression that represents the total amount that Ignatio and his friends spent is 15t


Calculating the expression that represents the total amount

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

Each spent $15 on game tokens at Fun MountainEach cost = t

After spending on t games, we have

f(t) = Rate * t

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

f(t) = 15 * t

Evaluate

f(t) = 15t

Hence, the expression that represents the total amount that Ignatio and his friends spent is 15t

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Use Chebyshev’s inequality and the value of W to decide whether there is statistical evidence, at the significance level of α=0.05 , that D, the average proportion of all lightbulbs that are defective, is greater than 0.10.

Answers

Chebyshev's inequality is a statistical tool that provides a bound on the probability that a random variable deviates from its mean by a certain amount. It can be used to determine whether there is statistical evidence to support a hypothesis based on sample data.

Suppose we have a random variable D that represents the proportion of defective lightbulbs in a population. We want to test the hypothesis that the average proportion of defective lightbulbs in the population is greater than 0.10, i.e., H₀: D ≤ 0.10 vs H₁: D > 0.10. Let's assume that we have a sample of n lightbulbs and that the sample proportion of defective lightbulbs is W.

Chebyshev's inequality states that for any random variable X, the probability that X deviates from its mean by k standard deviations is at most 1/k². In other words,

P(|X - μ| ≥ kσ) ≤ 1/k²,

where μ and σ are the mean and standard deviation of X, respectively.

Now, let's apply Chebyshev's inequality to our sample proportion W. Since we don't know the true mean and standard deviation of D, we can use the sample mean and sample standard deviation as estimates. The sample mean is W/n and the sample standard deviation is √[W(1-W)/n]. We want to find the probability that D is greater than 0.10, which is equivalent to finding the probability that W/n is greater than 0.10.

Let k = (0.10 - W/n)/(√[W(1-W)/n]). Then,

P(D > 0.10) = P(W/n > 0.10) = P(W - 0.10n > 0) = P(W - μ ≥ (0.10 - μ)n) ≤ σ²/[(0.10 - μ)n]²,

where μ = E(W) = D and σ² = Var(W) = D(1-D)/n. Thus,

P(D > 0.10) ≤ D(1-D)/n[(0.10 - D)n]².

To decide whether there is statistical evidence to support the hypothesis H₁, we need to compare this upper bound on the probability of D being greater than 0.10 to the significance level α = 0.05. If the upper bound is less than α, then we reject the null hypothesis H₀ in favor of the alternative hypothesis H₁.

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For the following exercises,
(a) find the angle between 0 and 2π in radians that is coterminal with the given angle.
(b) find the reference angle of each one.

a)32π/13 b)-17π/6

Answers

The reference angle of given angles are -6π/13 and -5π / 6

To get coterminal angles, you simply have to add or subtract 2π.

a) 32π/13 =

= -32π/13 + 2π

= -32π + 26π / 13

= -6π/13

b) -17π/6 + 2π =

= -17π + 12π / 6

= -5π / 6

Hence the reference angle of given angles are -6π/13 and -5π / 6

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Using the GCF, what is the factored form of 75 - 3x?

please i need help!!!
u will get 100 points!!!​

Answers

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. In this case, we can find the GCF of 75 and 3 by listing their factors and finding the largest one they have in common. The factors of 75 are 1, 3, 5, 15, 25, and 75. The factors of 3 are 1 and 3. The largest factor they have in common is 3. Therefore, the GCF of 75 and 3 is 3.

We can use the GCF to factor the expression 75 - 3x by dividing each term by the GCF and writing the expression as a product. In this case, we can divide both terms by 3 to get 75/3 - (3x)/3, which simplifies to 25 - x. We can then write the original expression as a product by multiplying this simplified expression by the GCF: 3(25 - x).

Therefore, the factored form of 75 - 3x using the GCF is 3(25 - x).

Answer:

3(25-x)

Step-by-step explanation:

First we find the GCF of 75 and -3x, which is 3

3 is the highest number we can divide both 75 and -3

Hence, the answer is 3(25-x)

James answered 14 lems correctly
an a 16-item quiz. what percentage did he answer correctly

Answers

Answer:

14/16 = 0.875

Encik Halim bought 108 lemons to sell at his grocery shop. He packed 3 lemons in small packets and sold at the price of RM6.80 per packet. If he made a total profit of RM88.20, calculate the price of each lemon bought by him.​

Answers

Answer:

the price of each lemon bought by Encik Halim is RM1.45.

Step-by-step explanation:

Encik Halim bought 108 lemons and packed them into packets of 3 lemons each. So he made a total of 108/3 = 36 packets.

Let's assume that the cost of each lemon bought by Encik Halim is x RM.

The total cost of 108 lemons would then be 108x RM.

Encik Halim sold each packet at a price of RM6.80, so the total revenue he earned from selling 36 packets would be 36 x RM6.80 = RM244.80.

We are told that Encik Halim made a profit of RM88.20 from the sale of these packets, so his total cost would be:

Total cost = Total revenue - Profit

Total cost = RM244.80 - RM88.20

Total cost = RM156.60

We know that Encik Halim bought 108 lemons, so we can write:

Total cost = Number of lemons bought x Cost per lemon

RM156.60 = 108x

Therefore, the cost per lemon bought by Encik Halim is:

x = RM156.60/108

x = RM1.45

So the price of each lemon bought by Encik Halim is RM1.45.

3. Find the solution to each equation mentally.
a. 30+ a = 40
b. 500+ b = 200
C. -1+c= -2
d. d +3.567=0

Answers

Answer:

[tex]a. \: 30 + a = 40 \\ a = 40 - 30 \\ a = 10 \\ b. \: 500 + b = 200 \\ b = 200 - 500 \\ b = - 300 \\ c. \: - 1 + c = - 2 \\ c = - 2 + 1 \\ c = - 1 \\ d. \: d +3.567=0 \\ d = 0 - 3.567 \\ d = - 3.567[/tex]

hope it helps:)

El perímetro de un campo rectangular es 300 m . Si la longitud del campo es 88 , ¿cuál es su anchura?

Answers

Based on the above, the width of the field is 62 meters.

What is the width?

Based on the question, Let's say that the width of the field is  denoted with 'w'.

Note that the formula for the perimeter (P) of a rectangle is:

P = 2(l + w)

where"

l = length

w =  width.

Fixing the values into the equation, it will be:

300 = 2(88 + w)

So, Divide both sides by 2:

150 = 88 + w

Subtract 88 from both sides:

w = 150 - 88

w = 62

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Se text below

The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?

Help please connect the left to the right for each component

Answers

f(x) = the total cost for detailing the car. x = the number of minutes it takes to detail the car. m = The cost per minute for the detailing in car. b = the flat fee for detailing the car.

What is a linear equation?

An algebraic equation is said to be linear if the maximum power of the variable is 1. In other words, it is an equation that, when plotted on a coordinate plane, defines a straight line. A linear equation with a single variable has the general form:

ax + b = 0, where a and b are constants and x is the variable. A single value of x that causes the equation to be true is the answer to this equation.

The given situation can be expressed in the form f(x) = mx + b.

Where,

f(x) = the total cost for detailing the car.

x = the number of minutes it takes to detail the car.

m = The cost per minute for the detailing in car.

b = the flat fee for detailing the car.

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Suppose a city with population 500,000 has been growing at a rate of 4.3% per year. If this rate​ continues, find the population of this city in 10 years

In the Show Your Work box, must have the following:
- 1 pt- Formula used
- 1 pt- Variables and what they stand for
- 3 pts- Full solving process

Answers

Answer:

t = time in years

p(t) = population at time t

[tex]p(t) = 500000( {1.043}^{t} )[/tex]

[tex]p(10) = 500000( {1.043}^{10}) = 761751 [/tex]

Jermaine invested $3,200 in a defined-contribution account. Assuming he is in a 20% marginal tax bracket, how much did he lower his income taxes with the investment

Answers

Answer:

  $640

Step-by-step explanation:

You want to know the income tax reduction resulting from investing $3200 in a defined-contribution account when the marginal tax rate is 20%.

Tax exempt

The money invested in a defined-contribution account is not subject to income taxes when it is invested. The tax savings is ...

  20% × $3200 = $640

Jermaine lowered his taxes by $640.

Help Please The sum of two even numbers is even. The sum of 6 and another number is even. What conjecture can you make about the other number?
A) The other number is odd.
B) The number is even.
C) Not enough information.
D) The number is 8.

Answers

Answer:

the number is even

Step-by-step explanation:

an even number plus an even number will aalways be even. adding 6 to an odd number will never be even. Therefore the number will be even

Other Questions
Based on results from recent track meets, Leon has a 64% chance of getting a medal in the 100 meter dash. Estimate the probability that Leon will get a medal in at least 4 of the next 10 races. Use the random number table, and make at least 10 trials for your simulation. Express your answer as a percent Question: What do the complexity differences between Spectra C and D suggest about the regioselectivity ofbromination of aniline versus acetanilide? Cherokee sued to keep land, court favored Native Americans, Jackson and state ignored the Supreme Court and forced Natives to move anywayDred Scott v. SandfordGreat CompromiseMarbury v. MadisonWorcester v. Georgia Where do laws regulating PRIVATEdiscrimination come from? I Need help pleaseeeeeee Setting events happen immediately before a behavior occurs PLEASE HURRY!!!!!Imagine you are Boo Radley at the end of Chapter 8, starting when the children are standing and watching the fire. In his voice, write a diary entry of what is happening from Boos point of view. Include specific encounters between you (Boo) and the children. What motivates your (his) actions? His diction (way he speaks) should be similar to the diction of the novel Question 1Statement 1. A owes B, who assigns his credit to C. A, without knowing of the assignment, pays B. As obligation is extinguished.Statement 2. The assignment of a credit includes all the accessory rights, such as a guaranty, mortgage, pledge or preference.A) No. 1 is true; No. 2 is false.B) Both are true.C) No. 1 is false; No. 2 is true.D) Both are false. imagine yourself in a national park and you observe a conversation between two birds or animals. write an imaginary dialogue between two animals or birds. (7-8 sets) Marc conducted a gravity experiment for a school science project. He found the experimental value of gravity to be 10.14 m/s2. The accepted value of gravity is 9.81 m/s2. What is Marcs approximate percent error? An observer of World War II once said, "In a strange twist of irony, the Axis Power simply did to Europeans what Europeans have done to people of color. " Do you agree with this statement? Please consider both the rise of the Axis powers, especially Germany and Japan, and the rise of imperialism discussed earlier in class. In what ways were they similar? In what ways were they different? Step One: Review several stocks by looking at stock tables and reading news articles. When you read about the company, be on the lookout for information, such as what products or services they sell, if they have any new products, and if the company has been making a profit. Select one stock to pretend to invest in. Long Text (essay)Answer the following questions about the stock you choose to pretend to track:What is the name of the company and the stock symbol you chose?What is the P/E ratio?What information did you find about the company?Why did you choose this stock? Rewrite each equation without absolute value symbols for the given values of x. y=|2x+5|-|2x-5| if x2.5 if -2.5 If someone wants to call Havana, Cuba from the United States, begins with US three digit exit code 011 followed by the two digit country code for Cuba which is 53, followed by the country code of Havana which is 7 and finally by seven-digit local telephone numbers. But this seven-digit local telephone number cannot begin with 0. How many different telephone numbers are possible? Who formed the first billion dollar company in the us?. Before You BeginPart One: Imagine that you have just voted in a local election. As you are walking out of the polling station, you notice a van of mentally disabled people out in front. As you walk past, you see the van driver give each of the people in the van a $20 bill and hear him tell the people to go inside and vote for the candidate that you want to win. He asks them to chant the name of the candidate over and over, until they understand what they are to do. What do you do?Write a paragraph describing what you saw and what you should do next. Explore your feelings, and defend your actions. Remember to include what your responsibilities are as a citizen.Part Two: It is brought to the attention of local authorities that, in the last election, someone paid a van full of mentally disabled people to vote for a candidate who won the election by just ten votes. The case has come to trial as a case of voter fraud. You are selected to serve on the jury. Write a brief summary of the case, then argue for each side of the case using 1-2 paragraphs per side.Part Three: Now, imagine yourself in a room with the other jurors trying to decide the verdict in the case described in Part Two. Is this a criminal case or a civil case? Imagine yourself in the courtroom. What does the defendant look like? Does that make you think the defendant is guilty or not guilty? What are the lawyers saying? Is there any evidence that turns the tide, or is it just a steady stream of evidence that seems to favor one side?Write an essay that sets the scene of the courtroom and the jurors' deliberations and decision on the case.Begin by making an outline of the essay. Decide the details of the case, the courtroom and the jury's deliberations. Flesh out your topic paragraph and overall thesis for the essay. In a paragraph or two, thoroughly describe the key evidence, evidence that turns the tide or seems to weight the argument toward one direction. Explore the adjournment and how the jury deliberates. Offer differing viewpoints of the jury based on the different evidence. What do you think? How does the jury come to a unanimous decision? Write persuasively and clearly, taking into account how your emotions and perception may influence your decision about the case, the defendant, and the other jurors.Use the Internet, newspapers, and other media outlets to learn about similar cases. Be sure to begin writing with an outline, and develop your arguments using correct grammar and sentence structure in order to make your point. How well does the author support his claim that the best way to beginusing solar, wind, and geothermal power is to make electricity?BA He supports it well because the energy crisis is holding us back.He supports it well because he proposes a new energy strategy.He supports it poorly because he does not say why this way is best.He supports it poorly because these energy sources are not actuallyforms of renewable energy.CD Kadeesha borrowed some money from her friend in order to help buy a new videogame system. Kadeesha originally borrowed $120 and agreed to pay back her friend$8 per week. Make a table of values and then write an equation for L, in terms of t,representing the amount Kadeesha owes her friend after t weeks.Number of Weeks Amount of Money Owed0123You must answer all questions above in order to submit.attempt 1 out of 2 Which theory points that tracking perpetuate inequalities A. Feminist theory.B. Symbolic interactionismC. Functionalism.D. Conflict theory. A system of equations consists of at least two equations describing a problem. True or false