If a number is "squared" that means it
is raised to the
______ power.

1. 1st
2. 2nd
3. 3rd
4. square root
5. none of the above

Answer:

c)   6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation:  \(y=mx+b\)

(where m is the slope and b is the y-intercept)

Maria's line:  \(y=-\dfrac{5}{6}x+8\)

Therefore, the slope of Maria's line is \(-\frac{5}{6}\)

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

\(\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}\)

Therefore, the linear equation of Nate's line is:

\(y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}\)

Rearranging this to standard form:

\(\implies y=\dfrac{6}{5}x+b\)

\(\implies 5y=6x+5b\)

\(\implies 6x-5y=-5b\)

Therefore, option c could be an equation for Nate's line.

The area of the triangular faces of the prism is 48 ft².

The entire surface area or surface area of the prism is 216 ft².

The surface area of a triangular prism is the area of its two triangular faces together with the areas of the three rectangular faces, which is the sum of the areas of the faces of the prism or its entire surface area.

Therefore, we have:

Surface area of the prism = b * h + \((S_1 + S_2 + S_3)\) * H, where:

Base of the triangular face (b) = 6 ft

Height of the triangular face (h) = 8 ft

\((S_1 + S_2 + S_3)\) = perimeter of the triangular base = 6 + 8 + 10 = 24 ft

length of the prism (H) = 7 ft

Surface area of the prism = 6 * 8 + (24) * 7

= 216 ft²

Area of the triangular faces of the prism = b * h = 6 * 8 = 48 ft².

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Answer:

$3.50

Step-by-step explanation:

if you divide 42 by 12 you get 3.5

The straight line distance from the front seat to the back is approximately 69.7 feet.

Straight line distance refers to the shortest distance between two points in a straight line, as opposed to the distance that would be traveled along a curved path or following the contours of the terrain.

Let the distance from the front row to the back row be x.

Then, we can use the tangent function to find the height difference between the front and back rows:

tan(12°) = (height difference) / x

Solving for the height difference:

height difference = x * tan(12°)

The problem tells us that the height difference is 15 feet, so we can set up an equation:

15 = x * tan(12°)

Solving for x:

x = 15 / tan(12°) ≈ 69.7 feet

Therefore, the straight line distance from the front seat to the back is approximately 69.7 feet.

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When you are developing a variable control chart with three-sigma control limits and you have 10 samples, each containing 20 observations, you should use the value of a2 as 0.577.

You can use the following steps to derive at the answer: 1. Use the formula below to calculate the value of A2:

\($$ A_2 = \frac{d_2}{\bar{d}} $$2.\)

Look up the value of d2 in a statistical table.

The value of d2 is dependent on the number of observations per sample and the sample size, which is 20 in this case. From a statistical table, you can obtain that d2 = 1.128.3.

Calculate the mean range (d) of the 10 samples as follows: \($$ \bar{d} = \frac{\sum_{i=1}^{10} R_i}{10} $$\)

where Ri is the range of the ith sample.

4. Calculate the value of \(A2:$$ A_2 = \frac{1.128}{\bar{d}} $$\)

where d2 = 1.128 and d is the mean range of the 10 samples.

5. Since you want to use the value of A2 in an X-chart (with three-sigma control limits), you should multiply A2 by 3 to obtain three-sigma limits for the X-chart.

Therefore, the three-sigma control limits are given by :  \($${\text{Upper control limit (UCL) }}= \bar{x} + 3 A_2 s\;$$$$\text\).

{Lower control limit (LCL)}\(= \bar{x} - 3 A_2 s\; $$where $\bar{x}$\)  is the average of the 200 observations, and s is the sample standard deviation.

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Answer:

The answer is 24.

Answer:

24

Step-by-step explanation:

Seeing that triangle ACD is a 5-12-13 right triangle, AD=12. Then using Pythagorean Theorem, we can calculate BD to be BD=\(\sqrt{15^2-12^2}=\sqrt{3^2(5^2-4^2)}=3\sqrt{25-16}=3\sqrt{9}=3 \cdot 3 = 9$\). Thus, the area of triangle ABD is \($\frac{1}{2} \cdot 12 \cdot 9=6 \cdot 9=54 \text{ sq units}$\) and the area of triangle ACD is \($\frac{1}{2} \cdot 12 \cdot 5=6 \cdot 5=30 \text{ sq units}$\). The area of triangle ABC is the difference between the two areas: \($54 \text{sq units} - 30 \text{sq units} = \boxed{24} \text{sq units}$.\)

Answer: 22%

Step-by-step explanation:

Answer:

i think A

Step-by-step explanation:

Answer:

The answer is c, I don't know how I'm supposed to show a graph, if that's what you wanted

Step-by-step explanation:

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

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(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

Answer:

sin ∠D = 24/25

Step-by-step explanation:

sin = opposite / hypotenuse

Looking at ∠D, the opposite side is 24, hypotenuse is 25

Therefore sin = 24/25

490

472 <490<500

it fits the criteria

There are 362,880 ways to select 9 players for the starting lineup and a batting order for the 9 starters based on the concept of combinations.

To calculate the number of ways to select 9 players for the starting lineup, we need to consider the combination formula. We have to choose 9 players from a pool of players, and order does not matter. The combination formula is given by:

\(C(n, r) =\frac{n!}{(r!(n - r)!}\)

Where n is the total number of players and r is the number of players we need to select. In this case, n = total number of players available and r = 9.

Assuming there are 15 players available, we can calculate the number of ways to select 9 players:

\(C(15, 9) = \frac{15!}{9!(15 - 9)!} = \frac{15!}{9!6!}\)

To determine the batting order, we need to consider the permutations of the 9 selected players. The permutation formula is given by:

P(n) = n!

Where n is the number of players in the batting order. In this case, n = 9.

P(9) = 9!

Now, to calculate the total number of ways to select 9 players for the starting lineup and a batting order, we multiply the combinations and permutations:

Total ways = C(15, 9) * P(9)

          = (15! / (9!6!)) * 9!

After simplification, we get:

Total ways = 362,880

There are 362,880 ways to select 9 players for the starting lineup and a batting order for the 9 starters. This calculation takes into account the combination of selecting 9 players from a pool of 15 and the permutation of arranging the 9 selected players in the batting order.

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The value of the arc length and area are 11. 2ft and 44.2 ft² respectively

To determine the arc length, we use the formula;

s = 2πr(θ/360)

Such that the parameters of the formula are expressed as;

Substitute the values, we get;

s = 2 × 3.14 × 8 × (80/360)

Divide the values, we get;

s = 50. 24(0. 22)

Multiply the values, we have;

s = 11. 2ft

The area of the sector is expressed as;

(θ/360º) × πr2

Substitute the values

80/360 × 3.14 ×8²

Find the square and multiply

0. 22 × 200. 96

Multiply

44.2 ft²

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Given that a randomly selected card is black, there is a 50% chance that it's a club. Thus, option a is correct.

In a standard 52-card deck, there are 26 black cards including 13 clubs. All clubs are black, therefore there are 13 black clubs. What is the probability that a randomly selected card is a club given that it is a black card? Given that a randomly selected card is black, there is a 50% chance that it's a club.

For example, The probability of drawing a club is 13/52. The probability of drawing a face card is 12/52.

We need to find the probability that it is a spade given that a black card is taken. Therefore, there is 50% chance that the card will be of black spade.

P(getting a black king) ` = 2/52 = 1/26.

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Complete question:

What is the probability of picking the following cards from the deck? Write your response as a fraction, as a decimal, and as a percent. a. P(black)? b. P(club)? c. If you drew a card from the deck and then replaced it, and if you repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)? Explain your reasoning.

Answer:

what? this isn't a true/false question...

the answer is 6

Answer:

35 seconds

Step-by-step explanation:

At negative values he is inside the volcano,  when he reaches 0 he will be at the top of the volcano

At 35 seconds, the elevation is 0, so he is at the top of the volcano

Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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We need to choose n to be at least 716 to ensure that the trapezoidal rule approximation is accurate to within 0.00001.

To use the error bound in section 5.9 of the course text, we need to find the second derivative of the function f(x) = sin(x) and evaluate it at the point x = π. We have:

f(x) = sin(x)

f''(x) = -sin(x)

Therefore, |f''(x)| = |sin(π)| = 1.

Using the trapezoidal rule with n subintervals, we have:

tn = h/2 * [f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]

where h = (b-a)/n is the width of each subinterval, a = 0, b = π, and n is the number of subintervals.

The error bound for the trapezoidal rule is given by:

|E| ≤ K * (b-a)^3 / (12 * n^2)

where K is an upper bound on |f''(x)| over the interval [a,b].

Substituting the values, we get:

|E| ≤ (1/12) * (π-0)^3 / n^2

We want the error to be less than or equal to 0.00001, so we have:

(1/12) * (π)^3 / n^2 ≤ 0.00001

Solving for n, we get:

n^2 ≥ (1/12) * (π)^3 / 0.00001

n^2 ≥ 510966.9135

n ≥ √510966.9135

n ≥ 715.04

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Answer:

I think it's

8 first and then 27/36 then -1/4 and lastly -19/29

Step-by-step explanation:

Answer: 8 27/36 -1/4 -19/20

Step-by-step explanation:

This are the right answer I guess because I learn it before I am like 92% sure about it

The minimum acceptable rate of 1 sigma of quality production is d) 68.

This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.

A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range

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The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.

When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" .  The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.

calculation

Let's take a look at the values in the supplied statement to discover the missing term.

the population's standard deviation is where

m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.

As a result, the recommended minimum sample size for a particular degree of confidence is

⇒ (Z×σ)²/m²

The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.

Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."

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Answer: 60

Step-by-step explanation:

Answer:

64/9

Step-by-step explanation:

(8/3) ^2

( 8/3) * (8/3)

64/9

64/9 is the answer <3<3 Hope this helps

Answer:

b

Step-by-step explanation:

-5(8x+9)-7x

-40x-45-7x

-47x-45

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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The probability of getting two odd numbers or two even numbers is 50%, since there are an equal number of odd and even numbers.

There are 6 possible outcomes when rolling two dice:

(1,1), (1,2), (2,1), (2,2), (1,3), (3,1).

The probability of getting two odd numbers is

2/6, or 1/3.

The probability of getting two even numbers is also

2/6, or 1/3.

Therefore, the probability of getting either two odd numbers or two even numbers is 2/3.

The probability of getting two odd numbers or two even numbers is 50%. This is because there are an equal number of odd and even numbers, so each outcome is equally likely. This means that the probability of getting two odd numbers or two even numbers is the same as the probability of getting one odd number and one even number. In both cases, the probability is 50%, since each outcome is equally likely. Therefore, the probability of getting two odd numbers or two even numbers is 50% as there are an equal number of odd and even numbers. This is because all possible outcomes are equally likely, and there are an equal number of odd and even numbers, so the probability of getting either two odd numbers or two even numbers is the same.

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The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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