Here u are for Marie what’s 2x+0?

Answer:

The answer is B. 24.5

Step-by-step explanation:

2÷49

first divide 2 ÷4 = 2 then, 2 ÷ 9 = 4, 9 - 8 = 1 then add a zero and then, divide 2 ÷ 10 = 5

24.5

The perimeter of a rectangle is calculated using the formula:

The question gives that the length and width of the rectangle are equal. This means that:

Therefore, the perimeter will be calculated to be:

The perimeter is given to be 32 m. Therefore, the length of the rectangle will be:

Using the formula for the area:

Therefore, the area will be:

The area is 64 square meters.

A1: All students are clever.=> ∀x (S(x) ⇒ C(x))

A2: Some clever students have blue eyes.=> ∃x (S(x) ∧ C(x) ∧ BE(x))

A3: There is a student with blue eyes.=> ∃x (S(x) ∧ BE(x))

There is a student with blue eyes (the same John), which shows that A3 is true,argument is valid.

We want to determine if the argument: Al∧A2⇒A3 is valid or invalid. This argument is valid, since the assumption that all students are clever and some clever students have blue eyes does lead to the conclusion that there is a student with blue eyes.

For all the cases except for one (when p is true and q is false), the implication is true. Therefore, to prove the validity of Al∧A2⇒A3, we want to show that A1∧A2 logically imply A3.

A1: All students are clever. => ∀x (S(x) ⇒ C(x))

A2: Some clever students have blue eyes.=> ∃x (S(x) ∧ C(x) ∧ BE(x))

A3: There is a student with blue eyes.=> ∃x (S(x) ∧ BE(x))Assume that A1 and A2 are true. We want to show that A3 must also be true.

We start by assuming that there is at least one clever student, say John, who has blue eyes. This means that we can pick John as the witness x for the A2 statement. So we know that S(John) ∧ C(John) ∧ BE(John).

Therefore, we also know that S(John) ∧ BE(John). This means that there is a student with blue eyes (the same John), which shows that A3 is true.

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Thus, the ordered pair corresponding to x= (t^2) + 5, y= 4 - (t^3), and t=3 is (14,-23).

To find the ordered pair corresponding to the given pair of parametric equations and the value of t, we need to substitute t=3 into the equations for x and y and simplify.

x= (t^2) + 5
x= (3^2) + 5 = 14

y= 4 - (t^3)
y= 4 - (3^3) = -23

Therefore, the ordered pair that corresponds to the given pair of parametric equations and the value of t=3 is (14,-23).

Parametric equations are equations that express a set of variables as functions of one or more independent variables, called parameters. In this case, x and y are expressed as functions of the parameter t. Parametric equations are often used in physics, engineering, and other fields where there are variables that depend on time or other independent variables.

In summary, to find the ordered pair corresponding to a given pair of parametric equations and a specific value of t, we substitute t into the equations for x and y and simplify to obtain the values of x and y at that point. In this example, the ordered pair corresponding to x= (t^2) + 5, y= 4 - (t^3), and t=3 is (14,-23).

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Answer:

5

Step-by-step explanation:

EF = 47 - 7x = 1/2 BC = 1/2 * (14+4x)

solve for x

x=6

so EF = 47-7*6 =  5

The total capital raised from selling 10 investment units at $100,000 per unit with a preferred return of 7% and a 70%/30% split would be $1,000,000.

To calculate the total capital raised, we need to consider the number of units sold, the price per unit, and the preferred return.

Given that 10 investment units were sold at $100,000 per unit, the total value of the units sold would be 10 units * $100,000 = $1,000,000.

The preferred return of 7% indicates that the investors will receive a fixed return of 7% on their investment before any profit sharing occurs. However, for the purpose of calculating the total capital raised, we do not deduct the preferred return from the total value of the units sold.

The 70%/30% split suggests that after the preferred return is paid, the remaining profits will be split between the owner and the investors in a 70%/30% ratio. This split does not affect the calculation of the total capital raised.

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The statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2  for n > 2

The function definition is given as

f(n) = -4 +2n for n > 1

Start by calculating f(2), f(3) and f(4)

So, we have

f(2) = -4 +2(2)

f(2) = 0

f(3) = -4 +2(3)

f(3) = 2

f(4) = -4 +2(4)

f(4) = 4

In the above computation, we can see that the sequence is an arithmetic sequence with a common difference of 2

So, we have

f(n) = f(n - 1) + 2

Also, we have

f(1) = -4 +2(1)

f(1) = -2

Hence, the statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2  for n > 2

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Answer:

83 m

Step-by-step explanation:

23.6 x 3.5 = 82.6 ≈ 83 m

Answer:

the slope would be 0

Step-by-step explanation:

to find the slope subtract the two y's and the two x's, so:

first the y's: -10--10= -10+10=0

next the x's: -3-5=-8

then, divide them:

0/-8=0

so the slope is 0.

they deleted my answer

Answer:

x = 12

The measure of Angel A and Angle B = 144°

Step-by-step explanation:

Angle ∠ A= 10x+24∘

Angle ∠B=6x+72 ∘

Angle A and Angle B are Alternate interior angles hence, they are equal to each other.

Hence:

10x + 24 = 6x + 72

Collect like terms

10x - 6x = 72 - 24

4x = 48

x = 48/4

x = 12

The measure of ∠ A= 10x+24∘

=( 10(12) + 24)°

=( 120 + 24)°

= 144°

The Measure of Angle ∠B=6x+72 ∘

=( 6(12) + 72)°

= (72 + 72)°

= 144°

Answer:

∠A = 144 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

The length of line segment CD is 10.3 units (rounded to 2 decimal places).

Step-by-step explanation:

To find the length of line segment CD, we need to use the distance formula, which is:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Here, (x1, y1) = (1, -5) and (x2, y2) = (6, 4).

So, substituting these values in the distance formula, we get:

Distance = √[(6 - 1)^2 + (4 - (-5))^2]

= √[5^2 + 9^2]

= √(25 + 81)

= √106

≈ 10.3 (rounded to 2 decimal places)

Therefore, the length of line segment CD is 10.3 units (rounded to 2 decimal places).

Hope this helps!

Answer:

( 10,-4)

Step-by-step explanation:

I did the test I got in right

Answer:

750

Step-by-step explanation:

trust

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

The required 14th term will be 3188646 in the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

The geometric sequence is given in the question, as follows:

2, 6, 18,...

We have to determine the 14th term of the given geometric sequence.

As per the given geometric sequence,

The first term a = 2.

The common ratio r = 6/2 = 3

14th term = arⁿ⁻¹

Substitute the value of a = 10, r = -2, and n = 12 in the formula,

14th term = 2(3)¹⁴⁻¹

14th term = 2(3)¹³

14th term = 2(1594323)

14th term = 3188646

Thus, the required 14th term will be 3188646.

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Answer:

The width is 72

Step-by-step explanation:

Answer: Another factor is 3x + 5.

Step-by-step explanation:

please view the attachment for the steps.

The other factor of the polynomial (6x² + x - 15) would be (3x + 5). Hence option 2 is true.

Given that the polynomial is,

6x² + x - 15

And, The polynomial has a factor of 2x - 3.

Now apply the factorization method to solve for the  factor,

6x² + x - 15

6x² + (10 - 9)x - 15

6x² + 10x - 9x - 15

2x (3x + 5) - 3 (3x + 5)

(2x - 3) (3x + 5)

Since The polynomial has a factor of 2x - 3.

Hence, the other factor would be (3x + 5). So option 2 is true.

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Answer:

The tablet costs more than the smartphone

Step-by-step explanation:

1 year tablet = $1.50

1 year smartphone = $0.02x12months = $0.24

Answer:

\(y_{min}=-17\)

\(y_{max}=15\)

Step-by-step explanation:

Given function:

\(y=2x^2-12x+1\)

The critical points are those values of x which make the derivative of the function zero.  

Differentiate the function:

\(\implies \dfrac{\text{d}y}{\text{d}x}=2 \cdot 2x^{2-1}-12x^{1-0}+0\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=4x-12\)

Set the derivative to zero and solve for x:

\(\implies 4x-12=0\)

\(\implies 4x=12\)

\(\implies x=3\)

To find the y-value of the critical point, substitute the found value of x into the function:

\(\implies 2(3)^2-12(3)+1\)

\(\implies 2(9)-12(3)+1\)

\(\implies 18-36+1\)

\(\implies -18+1\)

\(\implies -17\)

Therefore, the critical point is (3, -17).

To find the endpoints of the function in the interval [0, 7], substitute x = 0 and x = 7 into the function:

\(\begin{aligned} x=0 \implies 2(0)^2-12(0)+1&=0-0+1\\&=1\end{aligned}\)

\(\begin{aligned} x=7 \implies 2(7)^2-12(7)+1&=2(49)-12(7)+1\\&=98-84+1\\&=14+1\\&=15\end{aligned}\)

Therefore:

Therefore the minimum y-value is -17 and the maximum y-value is 15 in the given interval [0, 7]

The minimum and maximum y value of the function is -17 and 15 respectively.

This is a basic problem in calculus.

Given function: \(y=2x^{2} -12x+1\)

Step 1: First, let's find the derivative of the function

\(\frac{dy}{dx} = 2.2x^{2-1} -12x^{1-0} +0\\\frac{dy}{dx} = 4x-12\)

Step 2: Equate the derivative with zero

4x-12=0

x=3

Therefore, x=3 is the critical value for x

Step 3: Find the critical value for y

\(y=2x^{2} -12x+1\)

\(y=2\times3^{2} -12\times3+1\\y=-17\)

Thus, the critical points for the function \(y=2x^{2} -12x+1\) are (3,-17)

Step 4: Find endpoints using the given interval [0,7]

This can be done by substituting x1=0 and x2=7 simultaneously in the given function and finding y1 and y2.

For x1=0,

\(y1=2\times0^{2} -12\times0+1\\y1=0+0+1\\y1=1\)

For x2=7,

\(y2=2\times7^{2} -12\times7+1\\y2=98-84+1\\y2=15\)

Now, we have both critical points and endpoints.

Therefore, The minimum and maximum y value of the function is -17 and 15 respectively.

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9514 1404 393

Answer:

  7) compare what Jason needed to do with what he did

  8) Jason used an incorrect formula to estimate his need

  9) an overestimate ensures Jason can finish the job

Step-by-step explanation:

7) A critique is a comparison of what you have with what you expect. We can critique Jason's reasoning by comparing what he did with what we expected him to do. (We don't actually know his reasoning; we only know his action.)

__

8) Jason multiplied the dimensions of his room, an action appropriate to finding its area. We expected that Jason would use a formula for the perimeter of the room. We conclude that Jason chose the wrong formula for computing the length of border needed. We also note that Jason did not make any use of dimensional analysis. Had he done so, he would have known that his result was in square feet, not linear feet, so was not applicable to the question of whether he had enough border.

__

9) If Jason's goal is to finish his wallpaper job without making another trip to the store, he would want to make sure that he does not run short of wallpaper before the task is done. To ensure that he has enough, it makes sense that he would make an estimate that would give him more than enough.

Answer:

b

Step-by-step explanation:

Answer:

3x+15+10

3x + 25

Step-by-step explanation:

Answer:

3x + 25

Step-by-step explanation:

Answer:

his answer is true.

Step-by-step explanation:

Independent variable = w ( number of weeks )

It does not depend of another variable.

Dependent variable = p ( price ) it depends of the number of weeks

Variable amount = 0.3 ( depends of the number of weeks)

Fixed amount = 2.399

The relationship is proportional and the constant of proportionality is 3.

The equation with x and y to represent the relationship is y = 3x

It is important to note that a proportional relationship is one where these a constant. In this case, Ben and some of his fiends volunteer to plan the party.

The relationship between the hamburger and the buns were illustrated.

In this case, the constant will be:

= 30/10

= 3

Also, 60/20

= 3

In this case, there's a constant.

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After the formation of the European Union (EU), it eliminated all tariffs among its member countries. This means that there are no import taxes or duties imposed on goods traded between EU member countries.

One of the key objectives of the European Union is to create a single market among its member countries, fostering economic integration and facilitating the free movement of goods, services, capital, and people. As part of this goal, the EU implemented the elimination of tariffs among its member countries. Tariffs are taxes or duties imposed on imported goods, which can increase their cost and hinder trade.

By removing tariffs, the EU promotes the free flow of goods within its borders. This has significant benefits for businesses and consumers within the EU, as it allows for increased trade, competition, and access to a wider range of products. Eliminating tariffs encourages economic cooperation and integration among EU member countries, creating a more seamless and efficient trading environment.

Option a is incorrect because the EU does not bar imports of specific products or favor domestic companies. Option c is incorrect because the EU aims to promote trade and economic activity among its member countries rather than decreasing imports and exports. Option d is incorrect because the North American Free Trade Agreement (NAFTA) is a trade agreement between the United States, Canada, and Mexico and is not directly related to the European Union.

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Answer:

19

Step-by-step explanation:

152/8

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Inference: 37% of the surveyed workers in the government sector reported feeling understaffed. We need to construct a 95% confidence interval for the proportion of workers in the government sector who feel their industry is understaffed.

According to the survey conducted among 200 workers in the government sector, it was found that 37% of the respondents expressed feeling understaffed. To estimate the range of the proportion of government sector workers who share this sentiment with a 95% level of confidence, we can construct a confidence interval.

To construct the confidence interval, we will use the sample proportion (37%) as an estimate of the population proportion. The formula for the confidence interval is:

Confidence Interval = Sample Proportion ± Margin of Error

The margin of error is calculated using the formula:

Margin of Error = Critical Value * Standard Error

The critical value for a 95% confidence interval is approximately 1.96. The standard error can be computed as:

Standard Error = √((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Substituting the values into the formulas, we find:

Standard Error = √((0.37 * (1 - 0.37)) / 200) ≈ 0.0366

Margin of Error = 1.96 * 0.0366 ≈ 0.0717

Now we can construct the confidence interval by adding and subtracting the margin of error from the sample proportion:

37% ± 7.17%

Therefore, the 95% confidence interval for the proportion of workers in the government sector who feel their industry is understaffed is approximately 29.83% to 44.17%.

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