Graph: +2 = 2(x + 3)
y
x
y
6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw

Given that;

Line a and b are two straight lines cut by two transversal lines l and m.

The tranversal line l shows that;

But also;

Thus,

Then, if two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

Thus, line l is parallel to m

Total 200 number of shots Carla took to goal 14 goals.

What is percentage means?

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per cent refers to one hundred percent.

Carla scored goals on 7% of the shots she took.

If she scored 14 goals. How many shots did she take.

Let's suppose she took x number of shots.

7% of the total number of shots  =  14

7% of x  = 14

7*x/100  = 14

7*x = 14*100

x = 200.

So Total 200 number of shots Carla took to goal 14 goals.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

Step-by-step explanation:

It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).

The angles are:

5+3+1 = 9

Each angles is

5/9 * 180 = 100°

3/9 * 180 = 60°

1/9  * 180 = 20°

Total = 100+60+20 = 180 degrees.

Answer:

The answer could be x * 33 + 30.

Step-by-step explanation:

In this expression, the parentheses indicate that 14 and 19 are to be added together first, which equals 33. The expression x * 33 means that 33 is being multiplied by x. Finally, 30 is being added to this product. So both expressions represent the same mathematical operation.

Here's how to check our answer:

First, we simplify the expression inside the parentheses:

x(33) + 30

Next, we multiply x and 33:

x * 33 + 30

Finally, we add 30 to the product of x and 33:

x * 33 + 30

So, the expression x * 33 + 30 is equivalent to the expression x(14 + 19) + 30.

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Have a nice day.

x(14+19)+ 30 =

     33   +  30

33x+30

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

Answer:

510.82 dollars

Step-by-step explanation:

Answer:

1807.81

Step-by-step explanation:

multiply 1952.42 by 3=5857.26

add the rest of the numbers=11995.65

subtract 10187.84=1807.81

Replace the x in the equation with 3 and solve:

6(3)^2 + 18(3) -15

6(9) + 54 - 15

54 + 54 - 15

108 - 15

93

Answer: B.93

The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha

B) = 27, S = 4.

An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.

The formula for the t-statistic is

t = (X - μ) / (S / √(n))

where:

X is the sample mean

μ is the hypothesized population mean under H0

S is the sample standard deviation

n is the sample size

A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.

calculate the t-statistic for each sample result

A) X= 28, S = 6, n = 36

t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2

B) X= 27, S = 4, n = 36

t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5

C) X = 32, S = 2, n = 36

t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6

D) X = 26, S = 9, n = 36

t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67

Comparing the t-statistics,  that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.

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The percent of the total volume occupied by saturated liquid is 70%. This can be obtained by dividing the volume of the saturated liquid by the total volume of the tank and multiplying by 100.

Given:

Volume of the tank (V) = 3 m³

Quality of the mixture (x) = 70% (0.7)

Temperature of the mixture (T) = 24°C

To calculate the masses of saturated liquid and saturated vapor, we need the density values for the liquid phase (ρliquid) and the vapor phase (ρvapor) at 24°C. Let's assume the density of the liquid phase is 1000 kg/m³ and the density of the vapor phase is 1.2 kg/m³.

Using the formula for the mass of saturated liquid (ml):

ml = V * x * ρliquid

= 3 * 0.7 * 1000

= 2100 kg

Using the formula for the mass of saturated vapor (mv):

mv = V * (1 - x) * ρvapor

= 3 * (1 - 0.7) * 1.2

= 0.72 kg

To find the percent of the total volume occupied by saturated liquid, we divide the volume of the saturated liquid (Vl) by the total volume of the tank (V) and multiply by 100:

Percent of total volume occupied by saturated liquid = (Vl / V) * 100

= (ml / (V * ρliquid)) * 100

= (2100 / (3 * 1000)) * 100

= 70%

Therefore, the mass of the saturated liquid is 2100 kg, the mass of the saturated vapor is 0.72 kg, and the percent of the total volume occupied by saturated liquid is 70%.

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Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Given parameters:

Number of sides of the regular body  = 10

      A decagon has 10 sides.

Unknown:

Sum of the measures of the interior angles = ?

Solution;

 To find the sum of the interior angles of a decagon; use the expression below:

             Sum of interior angles  =  (n - 2) x 180

where;

  n = number of sides;

So,

         Sum of interior angles  = (10 - 2) x 180 = 1440°

The sum of interior angle of a decagon is 1440°

Answer:

Step-by-step explanation:

See image

More than 50% of Americans rely upon television broadcasts for their news.

News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.

It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.

Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.

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Answer:

Step-by-step explanation:

You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.

When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.

Our c is a 20.  All the factors of 20 are as follows (notice that we have both the positive and negative factors):

20: ±1, ±2, ±4, ±5, ±10, ±20

Our d is a 3.  All the factors of 3 are as follows (again, both the + and the -):

3: ±1, ±3 and that's it for 3.

c/d is as follows. Make sure you put ever c over every d!!!:

c/d: ±\(\frac{1}{1}\), ±\(\frac{2}{1}\), ±\(\frac{4}{1}\), ±\(\frac{5}{1}\), ±\(\frac{10}{1}\), ±\(\frac{20}{1}\), ±\(\frac{1}{3}\), ±\(\frac{2}{3}\), ±\(\frac{4}{3}\), ±\(\frac{5}{3}\), ±\(\frac{10}{3}\), ±\(\frac{20}{3}\)

Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.

Answer:

its D on edge

Step-by-step explanation:

The 9 people including Sarah that went on the trip and the $200 cost of coach tickets and $1010 cost of first class tickets as well as her budget for airfare of $6660 indicates, by solving the system of equations that represents the situation that the she bought 6 first class tickets and 3 coach tickets.

A system of equations are two or more equations that have common variables and for which a solution is found simultaneously.

The number of people including Sarah, Sarah took for the trip = 9

The cost of a coach ticket = $200

Cost of a first class ticket = $1010

Sarah's total budget = $6660

Let A represent the number of coach tickets and let B represent the number of first class tickets Sarah bought, we can write the following equations based on the question details;

A + B = 9...(1)

200·A + 1010·B = 6660...(2)

From which we get;

A = 9 - B

Plugging in the value of A in equation 2, we get;

200 × (9 - B) + 1010·B = 6660

810·B + 1800 = 6660

810·B = 4860

B = 4860/810 = 6

B = 6

The number of first class tickets Sarah bought, B = 6

A = 9 - B

Therefore; A = 9 - 6 = 3

The number of coach tickets Sarah bought, B = 3

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Answer:

\(106 yd^2\)

Step-by-step explanation:

Answer is attached. Let me know if you would like another explanation that would yield the same solution.

The probability that a randomly selected adult does not own shares of stock is 66.84%.

To calculate the probability that a randomly selected adult does not own shares of stock, we need to subtract the probability that the person is a shareholder from the probability that the person has some college education. We can use the formula:

P(A') = 1 - P(A)

where P(A) is the probability that the person is a shareholder, and P(A') is the probability that the person is not a shareholder.

P(A) = 52%

P(A') = 100% - P(A') = 100% - 52% = 48%

Next, we need to calculate the probability that the person has some college education.

We can use the formula:

P(B) = 47%

Now we can use the formula for conditional probability to calculate the probability that the person has some college education given that they are not a shareholder:

P(B|A') = P(A' and B) / P(A')

To calculate P(A' and B), we can use the formula:

P(A' and B) = P(B) - P(A and B)

P(A and B) = P(A) x P(B|A) = 52% x P(B|A)

To calculate P(B|A), we can use Bayes' theorem:

P(B|A) = P(A|B) x P(B) / P(A)P(A|B) = P(A and B) / P(B) = (52% x P(B|A)) / P(B)

Now we can substitute this expression into the formula for P(A' and B):

P(A' and B) = P(B) - P(A) x P(A|B) x P(B) / P(A) = 47% - (52% x P(B|A)) x 47% / P(B)

Now we can substitute these expressions into the formula for P(B|A') and simplify:

P(B|A') = (47% - (52% x P(B|A)) x 47% / P(B)) / 48%

We are given that 16% of all shareholders have some college education, so we can substitute this value for P(B|A):

P(B|A') = (47% - (52% x 16%)) x 47% / P(B) / 48% = 33.16%

Finally, we can substitute this value into the formula for P(A'):

P(A') = 100% - P(A') = 100% - 33.16% = 66.84%

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

The fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

Step-by-step explanation:

Consider that the total take-home pay each month Jerry receives is, $x.

It is provided that:

The remaining amount can be computed by subtracting the amount spent from the total amount.

Compute the amount Jerry has spent so far:

Amount Spent = Car Payment + Food

                         \(=\frac{1}{6}x+\frac{1}{4}x\\\\=[\frac{1}{6}+\frac{1}{4}]x\\\\=[\frac{2+3}{12}]x\\\\=\frac{5}{12}x\)

Compute the remaining amount as follows:

Remaining Amount = Total Amount - Amount Spent

                                \(=x-\frac{5}{12}x\\\\=[1-\frac{5}{12}]x\\\\=[\frac{12-5}{12}]x\\\\=\frac{7}{12}x\)

Thus, the fraction of Jerry's take-home pay that is left after paying for these two items is 7/12.

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

Your net income after travel expenses would be $180.11.

To calculate your net income after travel expenses, we need to calculate your gross income and then subtract the deductions and travel expenses.

Gross income = Hourly rate x Number of hours worked

Gross income = $13/hr x 20 hours = $260

Deductions:

FICA = $260 x 7.65% = $19.89

Federal tax = $260 x 10% = $26

Total deductions =$19.89 + $26 = $45.89

Net income = Gross income - Total deductions - Travel expenses

Net income = $260 - $45.89 - ($8.50 * 4) = $260 - $45.89 - $34 = $180.11

Therefore, your net income after travel expenses is approximately $180.11.

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Answer:

1247.03

Step-by-step explanation:

if £1=$1.35

?=$125(crisscross them to get an answer.)

$125×£1÷$1.35=£92.59

if £1=$1.35

?=$6(crisscross to get an answer.)

$6×£1÷$1.35=£4.44

so you add them all up

£1150+£4.44+£92.59= £1247.03

Answer:

The system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.

Step-by-step explanation:

Any system of equations that have the same equations would have infinitely many solutions.

In other words, if the two linear equations have the same slope and y-intercept, then the system of solutions would contain infinitely many solutions. So, their graphs would have exactly the same line

Also If the equation ends with a true statement, for instance, 3 = 3, then the system has infinitely many solutions or all real numbers.

Given the system of equations

\(y=-3x + 4\)

\(3y = -9x+ 12\)

Writing both equations in the slope-intercept form

\(y=mx+b\)

where m is the slope and b is the y-intercept

y=-3x + 4

Here,

m = -3

b = 4

3y = -9x+ 12

dividing both sides by 3

y = -3x + 4

Here,

m = -3

b = 4

As both equations have the same slope and y-intercept 'b'. Thus, the system of equations has infinitely many solutions.

Now checking:

\(\begin{bmatrix}y=-3x+4\\ 3y=-9x+12\end{bmatrix}\)

substitute y = -3x+4

\(\begin{bmatrix}3\left(-3x+4\right)=-9x+12\end{bmatrix}\)

for y = -3x+4

Expressing y in terms of x

\(y=-3x+4\)

Thus, the solution would contain

\(y=-3x+4,\:x=x\)

We know that If the equation ends with a true statement, for instance, x = x, then the system has infinitely many solutions or all real numbers.

Thus, the system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.

We are given :

We have to find the price of pillow in department store, which is equal to :

Increase in price of pillow = 60/100 × $7.5

= 0.6 × $7.5

= $4.5

Price of pillow in department store = $4.5 + $7.5

= 12

Hence, price of the pillow in department store is $12.

Answer:

252× 8 = 2,016

Step-by-step explanation:

the answer is 2,016 u just need to multiply