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How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
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an audio recording or as a written essay. Be sure to include the following:

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

A = $44,778.84

A = P + I where

P (principal) = $10,300.00

I (interest) = $34,478.84 or 12 months

Step-by-step explanation:

Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%

To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?

Formula: \((\frac{interest rate}{number of payments})\) × \(loan principal = interest\)

Solution:  Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

(This gives you the amount of interest you pay the first month.)

First, convert R as a percent to r as a decimal

r = R/100

r = 50/100

r = 0.5 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,300.00(1 + 0.5/12)(12)(3)

A = 10,300.00(1 + 0.041666667)(36)

A = $44,778.84

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The given method is a public static void method named "printsome". It takes two integer parameters named "num1" and "num2". The method contains a for loop that initializes an integer variable "i" to 0 and iterates as long as "i" is less than "num1". Within the for loop, there is an if statement that checks if the remainder of "i" divided by "num2" is equal to 0. If the condition is true, the code inside the if statement will be executed.

The given method is:

public static void printSome(int num1, int num2) {
   for (int i = 0; i < num1; i++) {
       if (i % num2 == 0) {
           // code here
       }
   }
}

In this method:

1. "public" means the method can be accessed from any class.
2. "static" indicates that the method belongs to the class itself and not to any specific instance (object) of the class.
3. "void" denotes that the method does not return any value.

The method takes two integer arguments, num1 and num2. It runs a loop from 0 to num1 (excluding num1). Within the loop, it checks if the current value of 'i' is divisible by num2 (i % num2 == 0). If it is, the code inside the if block will be executed.

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Answer:

1a. yes

2a. yes

3a. yes

4a. yes

5a. yes

6a. yes

7a. yes

sorry, i'm not sure about any of these.

1c. yes

Answer: 2x+2

Step-by-step explanation:expand

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

Given data: Bending rheometer: 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm for t = 15s, 30s, 45s, 60s, 75s, and 90s.

We are supposed to calculate the values of S(t) and m to check if the asphalt meets PG grading requirement.

Calculation of m:

Mean wheel track rut depth = (0.4+0.5+0.65+0.82+0.98+1.3)/6

= 0.7933mm

Calculation of S(t)

S(t) = (x - m)/0.3

Where, x = 0.4mm, 0.5mm, 0.65mm, 0.82mm, 0.98mm, and 1.3mm

Given, m = 0.7933mm

Substituting these values into the formula above:

S(15s) = (0.4 - 0.7933)/0.3

= -1.311S(30s)

= (0.5 - 0.7933)/0.3

= -0.9777S(45s)

= (0.65 - 0.7933)/0.3

= -0.4777S(60s)

= (0.82 - 0.7933)/0.3

= 0.128S(75s)

= (0.98 - 0.7933)/0.3

= 0.62S(90s)

= (1.3 - 0.7933)/0.3

= 1.521

It is given that PG grading requirement is met if the values of S(t) are between -3.2 and +3.2. As all the calculated values of S(t) lie within this range, the asphalt meets PG grading requirement.

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Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer:

$266.60

Step-by-step explanation:

Answer:

(100x² + 6) / (5x)

Step-by-step explanation:

20x + 6 ÷ 5x

Order of operations says to multiply or divide before adding/subtracting.

So we simplify the above statement to:

\(20x+\frac{6}{5x}\)

To simplify even further, we need to find a common denominator for the two terms and then add them together.

\(\frac{100x^{2} }{5x} + \frac{6}{5x}\)

Notice that I've multiplied the first term by 5x/5x, to get a common denominator without changing the value of 20x.

So now we add the two terms and our answer is:

\(\frac{100x^{2}+6 }{5x}\)

Answer:

We conclude that the distance between two cities on a map = 6 inches.

Step-by-step explanation:

Given

Map scale:

1 in = 50 miles

Thus, in order to determine the distance in inches between two cities on a map, all we need is to divide the original distance between two cities i.e. 250 miles by 50 miles as 1 in = 50 miles.

so

Thus, we conclude that the distance between two cities on a map = 6 inches.

Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17

Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11

Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5

Number of 1/2-inch cubes = 17 x 11 x 5 = 935

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

Answer: 935 1/2-inch cubes are needed.

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

Answer:

slope=1

Step-by-step explanation:

slope=3/3=1 (hope it helps)

Answer:

1. x = 0

12. x = 3

13. x = 0

14.

Answer:

? = 11.3

Step-by-step explanation:

This figure is a parallelogram which indicates that TW is parallel as well as congruent to UV, so;

TW ≅ UV

So if TW = 11.3 then, so would be UV

Hope this helps!

Using linear functions, the cost will be the same, of $70, when there are 5 students.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the functions are:

The costs are the same when:

45 + 5x = 35 + 7x

2x = 10

x = 5.

The cost is:

y = 45 + 5 x 5 = $70.

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The equation which is correct is :

n + q = 104

Since we have given that:

Number of nickels and quarters = 104

Total amount from them = $22

Let the number of nickels be 'n'

Let the quarters be 'q'

So, the equation will be

n + q = 104           -------------------------------------------- (1)

Since we know that

value of nickels = 0.05 dollars

Value of quarters = 0.25 dollars

So, the equation will be

0.05n + 0.25q = $22       ------------------------------------ (2)

So, there are two system of linear equation can be used to find the number of nickels and the number of quarters. i.e.

n + q = 104

0.05n + 0.25q = $22

Using elimination we can find the value of n and q :

0.05( n + q =104 )

⇒0.05n+0.05q=5.2-----------(3)

Now, from equation (2) and (3), we get,

0.05 n + 0.05q = 5.2

0.05 n + 0.25q = 22

(-)       (-)           (-)

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

0          + 0.2q = 16.8

q = 16.8 ÷ 0.2

q = 84

Putting the value of q = 84 in equation (1),

   n + q = 104

⇒ n + 84 = 104

⇒ n = 104 - 84

⇒ n = 20

Hence,  n +q =104 equation is correct.

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Answer:

A. The shop will sell twice as many roses as daisies

Step-by-step explanation:

Look at each choice and use today's numbers.

A. roses: 18; daisies 9

18 is twice 9.

True

B. roses: 18; lilies: 12

18 and 12 are certainly not equal.

False

C. Lilies: 12, but roses 18

It's more roses than any other.

False

D. Lilies: 12; roses: 18

It's 6 more roses than lilies, not the other way around.

False

Answer:

None

Step-by-step explanation:

The square root function never outputs negative values.

Answer:

second question: c = 47

third question: h = 19

Step-by-step explanation:

second question: add 25 and 69 (94) then divide by 2 and you get 47

third question: just solve the equation :) hope this helped

Shape R and Shape S were put in the same group because they are the shapes with perpendicular line segments. Therefore the correct option is option D.

Shape S, a trapezium with one vertical side, and Shape R, a square, both have perpendicular line segments. All of the sides of a square are perpendicular, while one of the non-parallel sides of a trapezium with a vertical side is perpendicular to the base.

Reasons for ruling out other options

Option A, "Shapes without any right angles," is incorrect because Shape R (a square) has four right angles.

Option B, "Shapes with exactly one pair of parallel sides," is incorrect because Shape S (a trapezoid with one vertical side) has only one pair of parallel sides, while Shape R(a square) has two pairs of parallel sides.

Option C, "Shapes without parallel line segments," is also incorrect because all the other shapes P, Q, and T have parallel line segments.

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The probability that the worker will finish assembling the racing car in more than 60 minutes is approximately 0.1587. The z-score corresponding to 60 minutes is 2. The probability of completing the job in more than 60 minutes is 15.87%.

To find the probability that the worker will finish assembling the racing car in more than 60 minutes, we need to calculate the z-score and then find the corresponding probability from the standard normal distribution.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

where x is the given time (60 minutes), μ is the mean (50 minutes), and σ is the standard deviation (5 minutes).

z = (60 - 50) / 5

z = 2

Next, we look up the probability corresponding to a z-score of 2 in Table A (standard normal distribution table). The value in the table represents the probability of a random variable being less than the given z-score. To find the probability of the worker finishing in more than 60 minutes, we subtract this value from 1.

From Table A, the probability corresponding to a z-score of 2 is approximately 0.9772.

Probability = 1 - 0.9772

Probability ≈ 0.0228

Therefore, the probability that the worker will finish assembling the racing car in more than 60 minutes is approximately 0.0228 or 2.28% (rounded to two decimal places).

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Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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We are to simplify the given equation to determine if it has 1 solution, no solution or infinitely many solutions.

So,

If 36 - 7x = -7(x - 5) to 36 - 7x = -7x + 35.

Let's work on the second equation.

36 - 7x = -7x + 35

First let's collect like terms.

36 - 35 = -7x + 7x

From what we can see the equation, -7x + 7x will cancel out.

Therefore, there are no values of x that makes the equation true.

So, there is No Solution.

The correct option is B, which is No Solution.

The nth term of this given G.P. is  \(T_n =5\times[3]^{n-1}\).

Given that

To find

So, according to the question

We have,

            5 15 45 135​

From this G.P.

So, we know that

                        \(T_n =ar^{n-1}\)

Where,

Now, putting the all given values

                        \(T_n =5\times[3]^{n-1}\) -----------------(1)

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Answer:

Where are the statments

Step-by-step explanation: