true or false
I need an answer quickly please

Answer:

19 1/6

Step-by-step explanation:

Because 15 divided by 180 is 0.08333333333.

times that by 230 = 19.166666666 or 19 1/6

Answer: A

Step-by-step explanation:

Answer:

5.19 is correct

Step-by-step explanation:

Good luck on your final

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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The tallest man had a height that was more extreme. Rounding to two decimal places, we get that the tallest man's height was 79.20 inches.

Z-scores, also known as standard scores, are a statistical measure that quantifies how many standard deviations an individual data point is away from the mean of a distribution. The given statement compares the heights of two people who have different heights in terms of their z-scores.

It is given that the z-score for the tallest man is z=2.40 and that for the shortest man is z=-1.30.

We can conclude which of the two men had a more extreme height by calculating their actual heights using the z-score formula and comparing them. The formula for calculating z-score is given by:

z = (x - μ) / σ

Where z is the z-score,

x is the actual observation and

μ is the population mean

σ is the population standard deviation

We know that the z-score for the tallest man is 2.40.

Let the height of the tallest man be x₁.

Also, we are given that the mean height of the people in the group is 72 inches with a standard deviation of 3 inches.

z = (x - μ) / σ

2.40 = (x₁  - 72) / 3

Solving for x₁ , we get:

x₁ = (2.40 x 3) + 72 = 79.20 inches

Similarly, we know that the z-score for the shortest man is -1.30.

Let the height of the shortest man be x₂.

z = (x - μ) / σ

1.30 = (x₂ - 72) / 3

Solving for x₂, we get:

x₂ = (-1.30 x 3) + 72 = 67.10 inches

Therefore, the tallest man is 79.20 inches tall and the shortest man is 67.10 inches tall.

We can now compare which of the two men had a more extreme height.

The man with the height that is more different from the mean is the one who is more extreme.

We can see that the tallest man's height is further from the mean than the shortest man's height.

Hence, the tallest man had a height that was more extreme.

Rounding to two decimal places, we get that the tallest man's height was 79.20 inches.

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Answer:

A

Step-by-step explanation:

Associative property:

(a+b)+c=a+(b+c)

(a*b)*c=a*(b*c)

Answer:

the second option is the correct answer

Part A: Let "h" be the monkey's current height above the ground. After swinging up 10 ft, the monkey is at a height of (25 + 10) = 35 ft above the ground.

After jumping down 13 ft, the monkey is at a height of (35 - 13) = 22 ft above the ground. Therefore, the expression that represents how far off the ground the monkey is now is:

h = 22 ft.

Part B: The monkey is currently 22 ft off the ground.

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Let's assume that the monkey starts at a height of h = 25 ft above the ground.

After swinging up, the monkey will be at a height of h + 10 ft. After jumping down, the monkey will be at a height of (h + 10 ft) - 13 ft. Therefore, the expression for how far off the ground the monkey is now is:h - 3 ft

Part B:

Starting from a height of 25 ft, the monkey swings up 10 ft to reach a height of 35 ft.

Then, the monkey jumps down 13 ft from that height, which leaves it at a height of 35 - 13 = 22 ft above the ground.

Therefore, the monkey is currently 22 ft off the ground.

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Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

Answer:

1x12

2x6

3x4

4x3

6x3

12x1

Step-by-step explanation:

it could be 1 and 12   2 and 6   3 and 4  

Step-by-step explanation:

THe product is the answer to a multiplication equation so the numbers above are all products of 12! :D

Answer:

-17.7

Step-by-step explanation:

-9.1-14.6-(-6)

-9.1-14.6+6

-23.7+6

-17.7

Answer:

number 12 is

\( \frac{3}{125} \)

Answer:

9. 1/2÷1/4

=1/2×4

=2

10. 1/12÷5/6

=1/12×6/5

=1/10

11. 5/6÷5/9

=5/6×9/5

=3/2

12.2 2/3%

=8/3%

=8/300

=2/75

=0.02666667

The value of R is 12.

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

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Answer:

\( \sf \: g = 12\)

Step-by-step explanation:

Given equation,

→ 156 = 13g

Now the value of g will be,

→ 156 = 13g

→ 13g = 156

→ g = 156 ÷ 13

→ [ g = 12 ]

Hence, the value of g is 12.

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Answer:

708

Step-by-step explanation:

We are adding 7 each time

15+7 = 22

22+7 = 29

29+7 = 36

So the common difference is 7

The first term is 15

The formula is

an = a1+d(n-1)  where n is the term number

an = 15+7(n-1)

We want to find the 100th term

a100 = 15+7(100-1)

a100 = 15+7(99)

       = 15+693

     = 708

The complement of the given event is that 29% of the person's credit card purchases are less than seventy dollars.

To describe the complement of the given event, we need to first understand what complement means in probability theory. The complement of an event is the set of outcomes that are not included in the event.

So, the given event is that 71% of a person's credit card purchases are seventy dollars or more. This means that 100% - 71% = 29% of the person's credit card purchases are less than seventy dollars. This is the complement of the given event.

Hence, the complement of the given event is that 29% of the person's credit card purchases are less than seventy dollars.

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The correct option is sin5x.

An equation that is true no matter what values are chosen is called identity.

Given that, √(1-cos10x) / 2

Using identity,

√(1-cosx) / 2 = sinx/2

We get,

√(1-cos10x) / 2 = sin5x

Hence, the correct option is sin5x.

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Answer:

C

Step-by-step explanation:

on edge

Answer:

1.80

Step-by-step explanation:

Since we're rounding up to 2 decimal places we won't put the 5 in 1.795 in consideration, we'll just round up 79 which will give us 80, so we'll have 1.80. We're not rounding up to the nearest whole number or to one decimal place so the answer will remain as 1.80

The answer is A. The function g(x) = x is a unit vector in the vector space C[0, 1] and B. The cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x is 15 /\((2\sqrt{15})\).

To determine whether the function f(x) = 3x is a unit vector in the vector space C[0, 1] with the given inner product, we need to calculate its norm or magnitude.

The norm of a function f(x) in this vector space is defined as ||f|| = sqrt((f, f)), where (f, f) is the inner product of f with itself.

Using the inner product given, we can calculate the norm of f(x) as follows:

\(||f|| = sqrt(integral^1_0 (3x)^2 dx)\\= sqrt(integral^1_0 9x^2 dx)\\= sqrt[9 * (x^3/3) | from 0 to 1]\)

= sqrt[9/3 - 0]

= sqrt(3).

Since the norm of f(x) is sqrt(3) ≠ 1, we can conclude that f(x) = 3x is not a unit vector in this vector space.

To find a function that is a unit vector, we need to normalize f(x) by dividing it by its norm. Let's denote this normalized function as g(x):

g(x) = f(x) / ||f||

= (3x) / sqrt(3)

= sqrt(3)x / sqrt(3)

= x.

Therefore, the function g(x) = x is a unit vector in the vector space C[0, 1].

(b) To find the cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x, we can use the inner product and the definition of cosine:

cos(θ) = (f, g) / (||f|| ||g||).

Using the given inner product, we have:

\((f, g) = integral^1_0 (5x^2)(9x) \\\\dx= 45 * integral^1_0 x^3 \\\\dx= 45 * (x^4/4 | from 0 to 1)\)

= 45/4.

The norms of f(x) and g(x) are:

\(||f|| = sqrt(integral^1_0 (5x^2)^2 dx)\\= sqrt(integral^1_0 25x^4 dx)\\= sqrt[25 * (x^5/5) | from 0 to 1]\)

= sqrt(5).

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt(integral^1_0 81x^2 dx)\)

\(= sqrt[81 * (x^3/3) | from 0 to 1]\)

\(= 3\sqrt{3}\)

Substituting these values into the cosine formula:

cos(θ) = (45/4) / (sqrt(5) * 3√3)

\(= (15/2) * (1 / (sqrt(5) * √3))= (15/2) * (1 / √15)= (15/2) * (1 / (√3 * √5))= 15 / (2√15).\)

Therefore, the cosine of the angle between \(f(x) = 5x^2 and g(x) = 9x is 15 / (2\sqrt{15}).\)

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Answer:

In my opinion yes!!

Step-by-step explanation:

Step-by-step explanation:

hello,

in fraction form, 9:x = 9/x

and 54:8 = 54/8

to find the multiplier, simply divide 54 by 9 thus,

54/9 = 6

hence, 9 * 6 = 54

x * 6 = 8

x = 8/6

x = 4/3

hope this helps you! au revoir!

The formula to find the distance between two points with coordinates (x₁,y₁) and (x₂,y₂) is:

Substitute x₁=-5, x₂=-5, y₁=-15 and y₂=-2 to find the distance between the given points:

Therefore, the distance between the points N and P is:

According to the textbook, polygraph testing (lie detection) screening is prohibited as a condition of employment outside of government jobs, which means option (a) is correct.

The use of polygraph testing, also known as lie detection, as a screening tool for employment purposes is generally restricted. The rationale behind this restriction is based on concerns regarding the reliability and validity of polygraph tests in accurately detecting deception. Polygraph testing has been found to have limitations, as false positives and false negatives can occur, leading to inaccuracies in the results.

Due to these concerns, many jurisdictions have implemented legal restrictions on the use of polygraph testing in employment settings. It is important to note that there may be certain exceptions to this general prohibition. In some cases, such as certain high-security government positions or jobs that involve protecting the public from potential harm, polygraph testing may be permitted based on a countervailing need.

However, in the broader context of employment screening, polygraph testing is generally prohibited outside of government jobs.

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Answer:

Solution: y=2

The number of candy that worth $1.05 per pound will be 5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Given that One candy is worth $1.05 a pound, one is worth $1.35 a pound. The mixture is worth $1.17 a pound.

Consider that x be the number of candy that worth $1.05 per pound.

Then the number of candy that worth $0.85 per pound will be (20 - x). Then the equation will be;

1.05x + 0.85(20 - x) = 0.90 × 20

105x + 85 × 20 - 85x = 90 × 20

20x = 5 × 20

x = 5 pounds

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Answer:

12 quarters

Step-by-step explanation:

number of quarters ---------x

number of dimes ------------y

therefore, x + y = 37---------------times 10 both sides --------10x + 10y = 370-------equation 1

              0.25x + 0.1y = 5.5 -----times 100 both sides -------25x + 10y = 550 ------equation 2

equation 2 minus equation 1 is 25x + 10y - 10x - 10y = 550 - 370 ------ 15x = 180 -------x = 12

there are 12 quarters

When the dimensions of a rectangular prism are doubled, the volume increases by a factor of 8.

A rectangular prism is a three-dimensional shape with six rectangular faces. The volume of a rectangular prism is calculated by multiplying the lengths of its three dimensions: length, width, and height. When these dimensions are doubled, each of the three dimensions is multiplied by 2.

Let's assume the original dimensions of the rectangular prism are length (L), width (W), and height (H). When these dimensions are doubled, the new dimensions become 2L, 2W, and 2H. To calculate the new volume, we multiply these new dimensions together: (2L) * (2W) * (2H) = 8LWH.

Comparing the new volume (8LWH) to the original volume (LWH), we see that the volume has increased by a factor of 8. This means that the new volume is eight times larger than the original volume. Doubling each dimension of a rectangular prism results in a significant increase in its volume.

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I hope this helps you out

if AB=CD

4x+2=3x+4

4x-3x=4-2

x=2

AB=CD=4.2+2=3.2+4=10