What is the value of the expression when n = -3 ?

What would be the first step in simplifying this expression when n = -3?

n2 − 3 ( 2) +4n

a. 9; First step is 3(2)
b. 0; First step is (-3)^2
c. -48; First step is 4(-3)
d. -9; First step is (-3)²
e. 0; First step is 4(-3)
f. -48; First step is 3(2)

Answer:

3

Step-by-step explanation:

The formula for the sum of an infinite geometric series is

\(\frac{a}{1-r}\)

Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:

\(\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}\)

Now, we have all the values need to evaluate the formula. We can plug them in:

\(\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3\)

Answer:

90 or 270

Step-by-step explanation:

To determine the bearing of the tree from the student, we need to use the reference direction of North. Typically, bearings are measured in degrees clockwise from North.

If the student stands 15 meters away directly west of the tree, then we can draw a line connecting the student and the tree, which would be a line going directly east to west.

Since we want to find the bearing of the tree from the student, we need to measure the angle between the line connecting the student and the tree and the North direction. Since the line between the student and the tree is going directly east to west, this angle will be either 90 degrees or 270 degrees, depending on which direction we consider as North.

If we consider North to be directly above the student, then the bearing of the tree from the student would be 90 degrees, since the line connecting the student and the tree is perpendicular to the North direction.

If we consider North to be directly below the student, then the bearing of the tree from the student would be 270 degrees, since the line connecting the student and the tree is perpendicular to the South direction (which is opposite to North).

Therefore, depending on the reference direction of North that we choose, the tree's bearing from the student will be either 90 degrees or 270 degrees.

Answer:

14/11

Step-by-step explanation:

cause when u divide you have to switch the second fraction; it's called the reciprocal.

do crossed division and you'll get 14/11.

Answer:

1 1/2

Step-by-step explanation:

1 4/5 ÷ 1 1/5

convert to full fractions:

9/5 ÷ 6/5

9/5 x 5/6 = 45/30 = 1 1/2

Answer:

  17, 34, 31

Step-by-step explanation:

You want three numbers that have a sum of 82 such that the second number is double the first, and the third number is three less than the second.

Let x represent the second number. This is double the first number, so the first number is x/2. The third number is 3 less than the second, so is (x-3). Their sum is ...

  (x/2) +x +(x-3) = 82

Collecting terms, we have ...

  5/2x -3 = 82

  5/2x = 85 . . . . . add 3

  x = (2/5)(85) = 34 . . . . multiply by 2/5

  x/2 = 34/2 = 17

  x -3 = 34 -3 = 31

The three numbers are 17, 34, 31.

Answer:

Neither

Step-by-step explanation:

Parallel slopes are the same and perpendicular slopes are opposite reciprocals which would be like 2/3 and -3/2.

Statement about lines a, b, and c is not true is The sum of slopes of b and c is zero.

In a plane, lines that are parallel to one another never cross or come together. They are parallel and usually equally spaced apart. Parallel lines are non-intersecting lines.

Line a║ Line b

Line c ⊥ Line a

Line c ⊥ Line b

The assertion is untrue since both parallel lines have the same slope and their sum can only be 0 if both parallel lines have the same slope.

The statement is true. Parallel lines have same slope.

The statement is true.

As two perpendicular lines with slope  \(m_{1}\),\(m_{2}\)  respectively, satisfies the property:

\(m_{1}\)×\(m_{2}\)=-1

The statement is true.

Again, as two perpendicular lines with slope \(m_{1}\),\(m_{2}\)  respectively, satisfies the property:

\(m_{1}\)×\(m_{2}\)=-1

Hence, statement about lines a, b, and c is not true is the sum of slopes of b and c is zero.

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The probability that one of the scores in the sample is less than 1585 is 4.9%

Given that,

Given that mean u = 1585

standard deviation σ = 80

sample size n = 33

Probability means is the ability to happen. The subject of this area of mathematics is the occurrence of random events.The value is expressed in the range of 0 to 1. Probability has been brought to mathematics to predict the likelihood of events. Probability is essentially defined as the degree to which something is likely to occur.

P(x<1585) = P(X-u/σ < 1585-1595/80)

                 = P (X-u/σ  < -0.125)

P(x<1585) = 0.45026

P(x>1585) = 1 - P(x<1585) = 0.54974

P(1585<x<1595) = 0.5 - P(x<1585) = 0.049738

So, The probability that one of the scores in the sample is less than 1585 is 4.9%

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Answer:

x^2-5x+33

Step-by-step explanation:

(x-4)^2 -5x+20-3

x^2-4^2

a. Subtracted from the actual physical units to arrive at weighted physical units is -49.6

b. Added to the actual physical units to arrive at weighted physical units is 82.1

The weighted average approach is what?

Explanation:

w= x1w1+x2w2+x3w3

Quizzes                 82     0.2        16.4

Exam                     90     0.35      31.5

Term paper           76     0.65      34.5

a) Weighted average = 16.4 + 31.5 + 34.5  = 82.1

b) Weighted average = 16.4 - 31.5 - 34.5  = -49.6

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The length of the diagonals in ascending order is: 140/3 inches

Algebra is a branch of mathematics that deals with mathematical operations and symbols to represent numbers and their relationships. It involves the use of variables, which are letters or symbols that represent unknown or unspecified quantities, and manipulating equations and expressions to solve problems.

To compare the lengths of the diagonals of the three TV screens, we can simplify each expression and put them in order:

5 square roots of 84 inches

= 5 * √(4 * 21) inches

= 10 * √(21) inches

46 2/3 inches

= 140/3 inches

46.625 inches

Therefore, the length of the diagonals in ascending order is:

46.625 inches < 140/3 inches < 10 * √(21) inches

Note that we can also write the second diagonal as a mixed number, which is the form of a whole number and a fraction:

140/3 inches

= 46 2/3 inches

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Answer:

35

Step-by-step explanation:

f(x)=5x + 2

g(x)=1/2x+4

g(f(12))=

Find f(12) = 5*12 +2 = 60+2 = 62

Then find g(62) = 1/2 (62) +4 = 31+4 = 35

g(f(12) = 35

Answer:

10(6)

Step-by-step explanation:

Hope it's right.....

Explanation:

Given in the question:

The formul for time is given below as

By substituting the values, we will have

Hence,

The final answer is

Answer:

150.5 is median

148 is your mean

and 60 is a range

458 fishes

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The answer is in the picture. Click on it.

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.

You need to solve for the quantities given to see which numbers are the smallest and which are the largest.

15.75 = 15.75

√250 = 15.8

4² = 16

50 / 3 = 16.7

16.7 x 10³ = 16,700

The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.

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The probability that tails appears on the next toss is 0.5

Given,

In the question:

If I toss a fair coin five times and the outcomes are TTTTT,

To find the probability that tails appears on the next toss is.

Now, According to the question:

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.

A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T}  is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .

The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH}  or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5

Hence,  the probability that tails appears on the next toss is 0.5

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Answer:

The 3 integers are 44, 46, 48

Step-by-step explanation:

The integers are:

Let the three consecutive even integers be denoted as :

x,x+2,x+4

x+x+2+x+4=138

3x+6=138

3x=138−6

3x=132

x=132/3

x=44

The integers are:

x=44

x+2=46

x+4=44+4=48

Answer:

31

Step-by-step explanation:

thye blow up 36 balloons in total but 5 pop 36-5=31

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

The annual interest rate for the bank account is r = 3.7 %

Given data ,

A = P(1 + r/n)^(nt)

where A is the amount after t years, P is the principal (initial amount), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

a)

To find the principal, we can use the information from the first year:

$1739.50 = P(1 + r/n)^(n*5)

$1739.50 = P(1 + r/n)^5

We don't know the values of P, r, or n, but we can simplify the equation by dividing both sides by (1 + r/n)^5:

$1739.50 / (1 + r/n)^5 = P

Now we can use the information from the second year to solve for r:

$1803.40 = P(1 + r/n)^(n*6)

$1803.40 = ($1739.50 / (1 + r/n)^5) * (1 + r/n)^6

Simplifying, we get:

$1803.40 = $1739.50 * (1 + r/n)

Dividing both sides by $1739.50, we get:

1.036928 = 1 + r/n

Subtracting 1 from both sides, we get:

0.036928 = r/n

b)

To find the annual interest rate, we need to solve for r.

We know that r/n = 0.036928, so we can solve for r by multiplying both sides by n:

r = 0.036928n

$1739.50 = P(1 + r/n)^5

Substituting r = 0.036928n, we get:

$1739.50 = P(1 + 0.036928n/n)^5

Simplifying, we get:

$1739.50 = P(1.036928)^5

Dividing both sides by (1.036928)^5, we get:

P = $1500

Now we can substitute P = $1500 and r/n = 0.036928 into the equation r = 0.036928n and solve for r:

r = 0.036928n = 0.036928 * 1 = 0.036928

Hence , the annual interest rate is 3.7%

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Mr. Jones bought approximately 13 pamphlets.

In this problem, we have two types of items: books and pamphlets. Books cost 50¢ and pamphlets cost 15¢ at the book sale.

Let's use variables to represent the quantities we don't know. Let's say Mr. Jones bought x books and y pamphlets.

We are given two pieces of information:
1. Mr. Jones spent $90 on his purchases.
2. He bought 15 more pamphlets than books.

Now, let's set up the equations based on the given information.

First, let's consider the cost equation. The total cost of the books and pamphlets should equal $90.

The cost of x books is 50¢ * x, and the cost of y pamphlets is 15¢ * y. So, the equation becomes:
50x + 15y = 90

Next, let's consider the second piece of information. Mr. Jones bought 15 more pamphlets than books, which means y = x + 15.

Now, we have a system of two equations:
50x + 15y = 90
y = x + 15

To solve this system, we can use substitution or elimination method. Let's use substitution:

Substitute the value of y from the second equation into the first equation:
50x + 15(x + 15) = 90

Simplify the equation:
50x + 15x + 225 = 90
65x + 225 = 90

Subtract 225 from both sides:
65x = 90 - 225
65x = -135

Divide both sides by 65:
x = -135 / 65
x ≈ -2.08

Since we cannot have a negative number of books, we know that x must be a positive whole number. So, let's round x to the nearest whole number:
x ≈ -2

Now, substitute this value of x back into the second equation to find y:
y = x + 15
y ≈ -2 + 15
y ≈ 13

Therefore, Mr. Jones bought approximately 13 pamphlets.

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WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:

Step 1: Estimate the model using OLS and obtain the residuals, u_i.

Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.

Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).

Step 4: Estimate the original model with weights equal to 1/ h_i.

Thus, the correct answer is True.

Suppose, for some i, y^i = −2.

Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

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Answer:

R=30 degrees Lm=6(square root of 3)

Step-by-step explanation:

R=L

LM=SR

Answer:

no mode

Step-by-step explanation:

there is no mode in this data set

this is because there is no number that repeats itself making no number have more quantities than another number

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

2 hours and 30 minutes.

Step-by-step explanation:

First you must add $50 and $75. Then add two $75, to get $200. Then, Multiply $1.25 by 30.

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