Solve for x in simplest form 3 = 5/2 (3x - 2)​

The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:

b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)

This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).

Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

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Answer:

Step-by-step explanation:

Use PEMDAS rules

In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.

3[ (15 - 3)² ÷ 4]  = 3[(12)² ÷ 4]   {Now find the square of 12}

                         = 3[144 ÷ 4]    {Now do division}

                         =3 * 36       {Finally multiplication}

                         = 108

Answer:

C

Step-by-step explanation:

Consider trapezoid ABCD with

A is the midpoint of ED

C is the midpoint of BF

=> AC is the median of trapezoid EBFD

=>(EB+DF) / 2 = AC

=>(13+x) / 2 = 19

=> 13+x = 38

=> x= 25

The value of x is 5.

According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:

(a/b) = c

Where the values of a = 13, b = 19

Now, we can substitute the given values into the proportionality equation:

(13/19) = c

Next, we can cross-multiply the equation:

c = 0.68

Then the value of x is calculated by adding 4.32 on it then we get the value of x as

=>  x = 0.68 + 4.32

=> x = 5

Hence the correct option is (b).

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To cover the entire area of pyramid, Serena would need approximately 63.36 square inches of paper.

The area of the square base is

4.8 in x 4.8 in = 23.04 sq in

The area of each triangular face is

(1/2) x base x height = (1/2) x 4.8 in x 4.2 in = 10.08 sq in

Since there are four triangular faces, the total area of the triangular faces is

4 x 10.08 sq in = 40.32 sq in

Therefore, the total surface area of the pyramid is

23.04 sq in + 40.32 sq in = 63.36 sq in

So, it would take 63.36 square inches of paper to cover the entire pyramid.

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The complete statement:

When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

Each point in a figure is transformed into a rotation by rotating it a certain amount of degrees around another point.

Given:

A regular hexagon.

There are 6 vertices in hexagons.

When rotated about its center, a regular hexagon has 6 rotational symmetries.

That means 6 lines of symmetry.

So, in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

Therefore, a regular hexagon has 6 lines of reflectional symmetry.

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\(\huge\text{Hey there!}\)

\(\mathsf{2^3 + 6}\)

\(\mathsf{2^3 = 2\times2\times2 = 4\times2=\bf 8}\)

\(\mathsf{\bf 8}\mathsf{\ +\ 6}\)

\(\mathsf{\bf = 14}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 14}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

  see attached

Step-by-step explanation:

The formulas given work perfectly.

It might help you to think of the tax rate as a percentage. For example, $2.37 per $100 is a rate of 2.37/100 = 0.0237 = 2.37%

Each dollar value is the product of the previous two columns.

  $400,000 × 0.19 = $76,000; $76,000 × 0.0237 = $1801.20 (tax)

  $235,000 × 0.10 = $23,500; $23,500 × 0.0993 = $2333.55 (tax)

  $215,000 × 0.15 = $32,250; $32,250 × 0.1240 = $4000.00 (tax)

__

Where the rates are missing (as on the third line), they can be found by dividing the dollar value on the right of it by the dollar value on the left of it.

  32,250/215,000 = 0.15 = 15%

  4000/32,250 = 0.1240 = $12.40 per $100

_____

Additional comment

To get a tax of exactly $4000 on the last line, the tax rate needs to be specified to 4 decimal places: $12.4031 per $100. Otherwise the value rounds to something less than $4000.

Answer:

143 to the nearest Whole #

Step-by-step explanation:

100/0.70=142.59

Answer:

5

Step-by-step explanation:

The number of pounds of apples that she can buy will be 5.88 pounds.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Apples are on sale for $0.85 per pound. Darla has a $5 bill.

The number of pounds of apples that she can buy will be calculated as,

⇒ $5 / $0.82

⇒ 5.88 pounds

The number of pounds of apples that she can purchase will be 5.88 pounds.

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Answer:

x = 6

Step-by-step explanation:

Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:

The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31

we can write the following equation to find the value of x

5x + 1 = 31 subtract 1 from both sides

5x = 30 divide both sides by 5

x = 6

When a rational number is expressed as a decimal, the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors in the denominator.

For example,

If we consider the fraction 1/7, the decimal representation is 0.142857142857..., and the repeating section has a length of 6 digits. This is because the denominator 7 is a prime number, and there is only one distinct prime factor.

Similarly, for the fraction 1/6, the decimal representation is 0.1666..., and the repeating section has a length of 1 digit. The denominator 6 has two distinct prime factors (2 and 3), but since the prime factor 2 is repeated, it contributes to a repeating section of length 1.

In general, if a rational number can be expressed in the form p/q, where p and q are coprime integers (they have no common factors other than 1), and q has prime factors p1^a1 * p2^a2 * p3^a3 * ..., then the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors, which is a1 + a2 + a3 + ...

It's important to note that not all rational numbers have repeating decimal representations. For example, the fraction 1/2 can be expressed as the terminating decimal 0.5.

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To find the vector w, we are given that w · v₁ = -35, w – V₂ = -48, and w – V₃ = 108. We also know that w is in the span of V₁, V₂, and V₃.

From the given information, we can rewrite the equations as follows:

W · v₁ = -35 (Equation 1)
W – V₂ = -48 (Equation 2)
W – V₃ = 108 (Equation 3)

Since w is in the span of V₁, V₂, and V₃, we can express w as a linear combination of these vectors:

W = c₁V₁ + c₂V₂ + c₃V₃ (Equation 4)

Substituting Equation 4 into Equations 2 and 3, we have:

C₁V₁ + c₂V₂ + c₃V₃ - V₂ = -48 (Equation 5)
C₁V₁ + c₂V₂ + c₃V₃ - V₃ = 108 (Equation 6)

We know that the vectors V₁, V₂, and V₃ are orthogonal, which means their dot products are zero. Using this property, we can simplify

Equations 5 and 6:

C₁V₁ · V₂ + c₂V₂ · V₂ + c₃V₃ · V₂ = -48 (Equation 7)
C₁V₁ · V₃ + c₂V₂ · V₃ + c₃V₃ · V₃ = 108 (Equation 8)

Since V₁ · V₂ = 0, V₂ · V₂ = 24, V₃ · V₃ = 36, we can substitute these values into Equations 7 and 8:

24c₂ = -48 (Equation 9)
36c₃ = 108 (Equation 10)

Solving Equations 9 and 10, we find c₂ = -2 and c₃ = 3.

Finally, substituting c₁ = 1, c₂ = -2, and c₃ = 3 into Equation 4, we have:

W = V₁ + (-2)V₂ + 3V₃

Therefore, w = V₁ - 2V₂ + 3V₃.


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Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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(a) To determine the convergence or divergence of the sequence given by n = n * e^n * cos(n), we can apply the Limit Test. We'll find the limit as n approaches infinity:
lim (n→∞) [n * e^n * cos(n)]
As n becomes very large, e^n grows faster than any polynomial term (n, in this case), making the product n * e^n very large as well. Since cos(n) oscillates between -1 and 1, the product of these terms also oscillates and does not settle down to a specific value.
Therefore, the limit does not exist, and the sequence is divergent.
(b) To analyze the convergence of the sequence given by a_n = n^3 / 5, we again apply the Limit Test:
lim (n→∞) [n^3 / 5]
As n approaches infinity, the numerator (n^3) grows much faster than the constant denominator (5). This means the ratio becomes larger and larger without settling down to a specific value.
Thus, the limit does not exist, and the sequence is divergent.

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Therefore, it is proved that the lengths of opposite and adjacent sides are equal when angle of right triangle is 45 degrees. Property The length of hypotenuse equals to square root of two times of length of either opposite or adjacent side when angle of right triangle is 45 degrees. The length of both opposite and adjacent sides is 4.25 c m.

Answer:

B

Step-by-step explanation:

Answer:

the answer is Bg=3(48g)=144g for each large bag.

Step-by-step explanation:

just copy and paste the question that you have into a google search bar and the answer will pop up...

3Justin's estimated Vo2 max is 25.8(mL*kg*min)

What is Vo2 max ?

 The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.

Here using vo2 max fomula 1.5 miles ,

=> VO2 max = 3.5+483/Time

Here Time= 11 min 25 sec = 25/60 = 0.41 min

Then time=11.42 mins. Now,

=> VO2 max = 3.5+ 483/11.41

=> VO2 max = 3.5+42.3

=>VO2 max = 25.8(mL*kg*min)

Hence His estimated Vo2 max is 25.8(mL*kg*min)

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Answer:

24 bracelets can be made from given beads.

● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.

The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

To find the quotient q(x) and the remainder r(x) when dividing p(x) by d(x) using long division, we can perform the following steps:

Step 1: Write the dividend (p(x)) and the divisor (d(x)) in descending order of powers of x:

p(x) = x^3 + 2x^2 - 16x + 640

d(x) = x + 10

Step 2: Divide the highest degree term of the dividend by the highest degree term of the divisor to determine the first term of the quotient:

q(x) = x^3 / x = x^2

Step 3: Multiply the divisor by the term obtained in step 2 and subtract it from the dividend:

p(x) - (x^2 * (x + 10)) = x^3 + 2x^2 - 16x + 640 - (x^3 + 10x^2) = -8x^2 - 16x + 640

Step 4: Repeat steps 2 and 3 with the new dividend obtained in step 3:

q(x) = x^2 - 8x

p(x) - (x^2 - 8x) * (x + 10) = -8x^2 - 16x + 640 - (x^3 - 8x^2 + 10x^2 - 80x) = 6x^2 - 96x + 640

Step 5: Repeat steps 2 and 3 with the new dividend obtained in step 4:

q(x) = x^2 - 8x + 6

p(x) - (x^2 - 8x + 6) * (x + 10) = 6x^2 - 96x + 640 - (x^3 - 8x^2 + 6x^2 - 80x + 60) = -x^3 + 8x^2 - 186x + 580

Since the degree of the new dividend (-x^3 + 8x^2 - 186x + 580) is less than the degree of the divisor (x + 10), this is the remainder, r(x).

The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

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Answer:

120

Step-by-step explanation:

60:3=20

1 minute - 20

20×60=120

Answer:

60÷3=20 each minute

60 min in hour so,

20×60=1200 jars in an hour

Answer is 1200

Answer:

the answer is b 

Step-by-step explanation:

Answer:

The percent increase is approximately 45%.

Step-by-step explanation:

hope this helped!

Answer:

answer

Step-by-step explanation:

one of you answer this question

The given statement "The assumption for normality usually holds in any distribution so long as precise calculations of z statistics are made" is False because these tests do not rely on the normality assumption and can provide more accurate results when working with non-normal distributions.

Normality refers to a distribution that follows a normal or Gaussian distribution, characterized by a bell-shaped curve that is symmetric around the mean. The assumption of normality is an important aspect of many statistical tests, such as the t-test or ANOVA, which rely on the data being normally distributed to draw accurate conclusions.

Precise calculations of z statistics, which standardize individual data points based on the mean and standard deviation, do not guarantee that the assumption of normality holds. While these calculations can help compare and analyze data from different distributions, they do not transform a non-normal distribution into a normal one.

If the assumption of normality does not hold, alternative non-parametric tests, such as the Mann-Whitney U test or the Kruskal-Wallis test, should be used to analyze the data.

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The shape is a parallelogram with perimeter of 12.5 units.

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are parallelogram, square, rectangle, rhombus, kite.

The shape has vertices at A(0,0),  B(1,2), C(5,2) and D(4,0)

\(AB=\sqrt{(2-0)^2+(1-0)^2}= 2.24\ units\\\\BC=\sqrt{(2-2)^2+(1-5)^2}= 4\ units\\\\CD=\sqrt{(0-2)^2+(4-5)^2}= 2.24\ units\\\\AD=\sqrt{(0-0)^2+(4-0)^2}= 4\ units\)

Since opposite sides are equal, hence it is a parallelogram.

Perimeter = 2(2.24 + 4) = 12.5 units

The shape is a parallelogram with perimeter of 12.5 units.

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Given in the question:

a.)

Answer: 7.5

Step-by-step explanation:

SOLUTION:

Step 1:

Since the two figures are similar, it means that they have properties in common.

Step 2:

In the bigger figure, the side given is 10in and its area is 100 square inches meaning (10 in x 10 in).

Step 3:

In the smaller figure, the side given is 8in, and from step 1, we can see that the two figures are similar, so the area of the smaller figure will be (8 in x 8 in) = 64 square inches.

CONCLUSION:

The area of the smaller figure is 8in x 8in = 64 square inches