Find the distance between each pair of points. Round to one decimal place. A(-4, 6) and B(3, -7), and E(-6, -5) and F(2, 0).
AB=(
EF=

Answer:

Step-by-step explanation:

Answer:

solution given:

\( \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} \)

is your answer.

Answer:

Yes u did thats what i did too XD

Answer:

1)c 2)a 3)d 4)c

Step-by-step explanation:

hope this helped

The ranges values of the function f(x) are: {-89,-9,7} - Option D.

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Here, you need to replace the domain values in the given equation.

f(x)=-2x²+9

       f(x)=-2*(-3)²+9

        f(x)=-2*9+9

       f(x)=-18+9=-9

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Answer:

4 or 5

Step-by-step explanation:

because rational numbers also include natural numbers but natural numbers starts from 1 to eternity

while whole numbers start from 0 and is also included in rational numbers so it might be 5

The right triangle when solved are n = 34.1, p = 23.1 and P = 42.5

From the question, we have the following parameters that can be used in our computation:

The right triangle (see attachment)

The value of p can be calculated using the following tangent equation

tan(47° 30') = 25.2/p

So, we have

p = 25.2/tan(47° 30')

Convert to degrees

p = 25.2/tan(47.5)

Evaluate

p = 23.1

Next, we have

n = √(25.2² + 23.1²)

Evaluate

n = 34.1

For P, we have

P = 180 - 47.5 - 90

Evaluate

P = 42.5

Hence, the right triangle when solved are n = 34.1, p = 23.1 and P = 42.5

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The simplification of the given expression using laws of Indices is :

\(\frac{y^{14}}{z^{14}}\)

How to use Laws of Indices?

We want to simplify the expression y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power.

The above can be expressed as :

[(y⁻² * z³)/(z⁻⁴ * y⁵)]^(-2)

Collecting like terms and When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence :

= [(y⁻² * z³)/(z⁻⁴ * y⁵)]²

= [(z⁻⁴ * y⁵)/(y⁻² * z³)]²

= [(z⁻⁴/z³) x (y⁵/y⁻²)]²

= [z^{-4-3} x y^{5+2}]²

= [z^{-7} x y^{7}]²

Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is :

= \([\frac{y^{7}}{z^{7}}]^{2} = \frac{y^{14}}{z^{14}}\)

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean and expressing it as a percentage. In this case, to find the coefficient of variation for salaries at the medical billing company, we can use the following formula:

CV = (Standard Deviation / Mean) * 100

Given that the standard deviation is $6,400 and the mean is $46,600, we can plug in these values to calculate the coefficient of variation:

CV = (6400 / 46600) * 100 ≈ 13.75%

Therefore, the coefficient of variation for salaries at this medical billing company is approximately 13.75%.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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The unknown angle of the right angle triangle is as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.

The sum of angles in a right angle triangle is 180 degrees.  Therefore, let's find the ∠C in the triangle ABC.

Therefore,

180 = ∠A + ∠B + ∠C

m ∠B = y + 40

m ∠C = 3y - 10

m ∠A = 90°

Hence,

180 = 3y - 10 + y + 40 + 90

180 = 4y + 120

180 - 120 = 4y

y = 60 / 4

y = 15

Hence,

m ∠C = 3(15) - 10

m ∠C = 45 - 10

m ∠C = 35 degrees

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Answer:

x = 1

5 x 1 = 5 + 10 = 15

Step-by-step explanation:

Answer: X= 1

Step-by-step explanation: you would do 15 - 10 = 5

then you would do 5x times 5 which would equal 25

180-110 = 70

base angles theorem makes all the base angles of the triangle equal

110 - 70 = x

x = 40 degrees

Answer:

15y

Step-by-step explanation:

8y + 7y

first, we add the numbers which is 8+7 = 15

now we add the ys that = y+y= y ( when you add any alphabet letter the answer will be itself .)

then we add 15 + y but we can not add these but we can write it as 15y

= 15y

have a wonderful day

Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.

Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.

Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.

The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.

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Answer:

107⁰

Step-by-step explanation:

The m<g =107⁰

I hope it helped you

The measure of the angle ∠PGL will be equal to 107 degrees.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔPGL and ΔNHE,

PG  = NH (given)

GL = HE (given)

If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.

∠PGL = ∠NHE

∠PGL = 107°

The measure of the angle ∠PGL will be equal to 107 degrees.

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To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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Using the margin of error of a confidence interval, it is found that the estimate that most likely comes from a small sample is given by:

C. 87% (+24%)

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

From this, we get that smaller sample sizes lead to larger margin of errors. In this problem, option C has the larger margin of error, hence it most likely used the smallest sample size.

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Answer:use some caulk

Step-by-step explanation:

I am a handy man myself

Answer:

1306.90≅  1307 rounded to the nearest tens

Step-by-step explanation:

r= radius = 13 cm

l is the slant height =19 cm

surface area of the cone= area of the circle + area of the curved of the cone

SA=πrl +πr²

SA=π(13)(19) +169π

SA= 247π +169π= 416π=1306.90≅  1307 rounded to the nearest tens

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

To calculate the recommended sample size (n) for your study, you can use the formula n = z²(pq)/e², where z represents the z-score for the desired confidence level, p represents the probability of the desired response, q represents the probability of the undesired response, and e represents the acceptable sample error.

Given the assumptions that p = q and the client wants a 95% confidence level with a sample error of +/-10%, we can plug in the values as follows:

1. For a 95% confidence level, the z-score (z) is 1.96.
2. Since p = q, we can assume p = 0.5 and q = 0.5 (because p + q = 1).
3. The acceptable sample error (e) is 10%, or 0.1 in decimal form.

Now, plug these values into the formula: n = (1.96²)(0.5)(0.5)/(0.1²).

Step-by-step calculation:
n = (3.8416)(0.25)/0.01
n = 0.9604/0.01
n ≈ 96.04

The recommended sample size (n) for your study, based on the provided assumptions and formula, is approximately 96 participants.

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Answer:

y=13x

Step-by-step explanation:

Answer:

angle BCD = 28

The average number of breaths per minute would be 67.6 breaths per minute.

Average can be calculated by dividing the sum of the observation by the number of observations,

\(Average = \frac{sum of observations}{number of observation}\)

Step by step Explanation:

Over the course of 5 minutes, the squirrel takes

65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes

So, the sum of observation = 338 and

the number of observations = 5

So If you take that number and divide it by the number of minutes, you will get the average.

\(=\frac{338}{5}\)  

 67.6 breaths per minute.

Thus, the correct answer is - 67.6 breaths per minute.

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Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

We need to translate :

Here we need to use a bit of logic.

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

put it on test

Volume of the cone:

V = 3.14 x 3^2 x 9/3 = 84.78

Volume of half sphere on top of cone:

V = (4/3 x 3.14 x 3^3 )/2 = 56.52

Total volume = 56.52 + 84.78 = 141.3 cm^3

If the customer sues for a refund The customer will prevail.

B The customer, because he had a reasonable time after purchase in which to inspect.

The customer prevailing due to a reasonable time for inspection: If the customer inspected the wallet promptly after purchase and discovered the defect, they might argue that they exercised reasonable diligence and promptly returned to the store to demand a refund. This could support their claim for a refund. The customer will prevail in the case. This is because the customer had a reasonable time after purchase in which to inspect the wallet purchased. The Uniform Commercial Code provides that in any sale of goods, a buyer has a reasonable opportunity to inspect the goods to determine their condition before accepting them.

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Question is incomplete the complete question is :

A customer selected a new wallet at a local department store that the salesperson said was made of the finest calfskin and was stitched by hand. The customer bought the wallet and left the store. A few moments later, he took out the wallet to transfer his cash and credit cards into it. On close inspection, he noticed a small nick in the leather. He immediately went back to the department store and demanded a refund. The salesperson refused.

If the customer sues for a refund, who will prevail?

A The customer, because there was a breach of contract.

B The customer, because he had a reasonable time after purchase in which to inspect.

C The department store, because the customer accepted the goods.

D The department store, because the customer did not give written notice of the breach.