Triangle ABC has vertices A(0,7),B(5,-5),and C(10,7). Find the area of triangle ABC?.​​

Answer:

an arithmetic sequence

Step-by-step explanation:

an arithmetic series is wrong also heres an example i found of an arithmetic sequence

The terms in the given sequence represents an arithmetic sequence.

Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Given sequence of numbers is,

-8, -4, 0, 4, 8, 12, ......

We have to find which sequence does it represent.

This is not a series since they are not represented as the sum.

If the sequence is a geometric sequence, then the ratio of consecutive numbers will be same.

If it is arithmetic sequence, then the difference of consecutive numbers will be same.

Here, ratio is not same.

Difference are same.

-4 - -8 = 4, 0 - -4 = 4, 4 - 0 = 4, 8 - 4 = 4, ........

Common difference is 4.

Hence it is an arithmetic sequence.

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Answer:

C: maximum height=62.25 feet; time=3.85 seconds

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

The height of the ball, after t seconds, is given by the following equation:

\(h(t) = -16t^2 + 60t + 6\)

Which is a quadratic equation with \(a = -16, b = 60, c = 6\)

Maximum height:

Since a < 0, we can find the maximum value of the function. We have that:

\(\Delta = 60^{2} - 4(-16)(6) = 3984\)

\(y_{v} = -\frac{3984}{4(-16)} = 62.25\)

The maximum height is of 62.25 feet.

Seconds to reach the ground:

\(x_{1} = \frac{-60 + \sqrt{3984}}{2*(-16)} = -0.1\)

\(x_{2} = \frac{-60 - \sqrt{3984}}{2*(-16)} = 3.85\)

Since time is a positive measure, 3.85 seconds.

The correct answer is given by option C.

Answer:

I'm pretty sure it would be 8 though forgive me if I'm wrong

Answer:

The LCL for a 90% confidence interval for p is 0.82.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.

This means that \(\pi = 0.89, n = 60\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236\)

Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.

Based on the rating system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To determine the mean value for the variable Rating, you must add the code chunk summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of the code:

You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().

In this instance, you compute the mean value for the variable Rating using the mean() function.

The average score is 3.185933.

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Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

Corson had a better performance at the skills competition.

Step-by-step explanation:

In order to determine which player had a better performance at the skills competition, we need to find the percentage performance of both the players.

Therefore,

Corson's percentage performance

\( =\frac{5}{7}\times 100= 71.43%\)

Charleigh's percentage performance

\( =\frac{3}{5}\times 100= 60%\)

\( \because \) Corson's percentage performance > Charleigh's percentage performance

So, Corson had a better performance at the skills competition.

Answer:10

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

- 4x - 5 = 11 ( add 5 to both sides )

- 4x = 16 ( divide both sides by - 4  )

x = - 4

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

The correct answer is D. 110 degrees.

Step-by-step explanation:

Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees.  This fact lets us write the following equation:

<QPU + <QPR = 180

It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.

70 + <QPR = 180

Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides.  This gives us,

<QPR = 110

Therefore, the correct answer is 110 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

You want the 5th term and the general term of an geometric sequence with a1 = 7 and r = -3.

The general term of an arithmetic sequence is ...

  an = a1·r^(n-1)

For a1=7 and r=-3, the general term is ...

  an = 7·(-3)^(n-1)

Using n=5, the above equation evaluates to ...

  a5 = 7·(-3)^(5 -1)

  a5 = 7·(-3)^4 = 7·81

  a5 = 567

the answer is 9 feet

cuz 12-3=9

Answer:

2÷□=322÷□=32      Choose...  Yes  No

2÷6=□2÷6=□       Choose...  Yes  No

2÷□=232÷□=23      Choose...  Yes  No

□÷8=38□÷8=38      Choose...  Yes  No

Step-by-step explanation: multiply 2 x 322 which equals 644 then subtract 644 - 322 and it equals 322, divided by 10 which equals 32(no)           2. subtract 2 from 6 as how many times possible which should be 3 and 2 divided by 6 equals 3(yes) (Hint: if the number you are dividing by is greater then 100 then divide over 100)  3. to do three you need to know how to divide by 32, 200, and 2, 2 divided by 200 = 100 2 divided by 32 is 16 2 divided by 2 = 1.(no)  4. number 4 is a bit complicated because there's decimals, to know this multiply by 8 by 4 which is 32, now divide 8 by 10 which is 0.8 now to multiply by decimals add a decimal behind the whole number and add zeros know multiply like whole numbers 0.8 x 8.00 is 6.4, now round that by the nearest whole number which is 6, then add that to 32, then your answer should be 38(no)

Answer: 258

Step-by-step explanation:

7/9 = 1800

2/9 = ?

= 258

Answer:

To find the commission on a sale, multiply the rate of commission by the total sales.

Step-by-step explanation:

The line passes through the point (0,2) and (2,-1).

Determine the slope of line.

Thus slope of line is -3/2.

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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Answer:

11 dimes 20 nickels

Step-by-step explanation:

Only combo that makes $2.10

The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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Answer:

b

Step-by-step explanation:

Answer:

280.8

Step-by-step explanation:

Since 100% is the full amount, and it is 35% off you add 35 to the 100. So you get 1.35. You finally multiply by 207 and get 280.8

Answer:

THIS IS JUST SIMPLE MULTIPLICATION LOLOLOLOLOLOLOOLOLOL HOW

Step-by-step explanation:

Gonna cryyyyyyyyyYy??????

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Using statistical concepts, we have that:

Item a:

Hence:

The range is 6 days, and the interpretation is: B. The number of days separating the fewest and most sick days taken is equal to the range.

Item b:

The mean is:

\(M = \frac{0 + 1 + 4 + 0 + 0 + 6 + 3}{7} = 2\)

Hence, the standard deviation is:

\(S = \sqrt{\frac{(0-2)^2+(1-2)^2+(4-2)^2+(0-2)^2+(0-2)^2+(6-2)^2+(3-2)^2}{7}} = 2.2\)

The standard deviation is of 2.2, which means that the average spread about the mean is of 2.2 units.

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Answer:

Step-by-step explanation:

Answer:

a)to find mean

(sum the scores, divide by the number of scores) that is

( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21

= 42/21

= 2

b)

median means order the scores numerically then you choose the score in the middle and that is 2

c)sum of squared deviations is done by take difference between each score and the mean, square the result That is

Summation (xbar - x)²

add the final answer is 56

d)variance is gotten by taking sum of squared deviations, divide by (n-1))=

Summation (xbar - x)²/n-1

=2.8

e)standard deviation is square root of variance)= √V = 1.6

First, since the triangle HKJ is isosceles, then it is true that

Therefore, in the exercise KHJ it is equal to the angle HKJ. We know that the sum of the internal angles of a triangle is 180, so we have

We divide by 2 to find the measure of the two equal sides of the triangle HKJ

Then, the angle HKJ measure 55. So,

Answer:

v = -12

Step-by-step explanation:

29 = -8v - 7 + 5v

Combine the 'like terms':  

29 = (-8v + 5v) - 7

29 = -3v -7

Add 7 to both sides:

29 + 7 = -3v -7 +7

36     =    -3v + 0

36      =    -3v

Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.

36/-3 = -3v/-3

   -12  =  v

And that is the answer, v is negative twelve

Answer:

v=

Step-by-step explanation:

29= -8v- 7 + 5v

-8v + 5v - 7 = 29

-3v - 7 = 29

-3v - 7 + 7 = 29 + 7

-3v = 36

-3v ÷ -3 = 36 ÷ -3

v = -12

Answer:

12

Step-by-step explanation: