what is 2+2+3+4+4+4+4​

Answer:

r = 13

Step-by-step explanation:

As the vertically opposite angles are equal,

8r + 6 = 9r - 7

Now you can find the value of r.

8r - 9r = -6 - 7

-r = -13

r = 13

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

3n + 2

Step-by-step explanation:

\(−n+(−4)−(−4n)+6\)

Open the parentheses

\( - n - 4 + 4n + 6 \\ \)

Add similar elements

\( - n + 4n - 4 + 6 \\ 3n + 2 \\ \)

Answer:

\( - n + 6\)

Step-by-step explanation:

\( - n + ( - 4) - ( - 4n) + 6 = - n - 4n + 4n + 6 = - 5n + 4n + 6 = - n + 6\)

Answer:

y = x + 4

Slope (m) = 1

y-intercept (b) = 4

Step-by-step explanation:

y = mx + b

Answer:

Answer is the explanation below

Step-by-step explanation:

The exponent is negative because, as a positive exponent means to multiply, a negative exponent means to divide.

Answer: 27

Step-by-step explanation:

Mean = Sum of data/Number of data = (2 + 7 + x)/3 = 12

(x+9)/3 = 12

x+9 = 36

x = 27

Answer:

polygens

Step-by-step explanation:

Answer: good luck

Step-by-step explanation:Step 1) Because the first equation is already solved for

y

we can substitute

3

x

+

8

for

y

in the second equation and solve for

x

:

8

x

+

4

y

=

12

becomes:

8

x

+

4

(

3

x

+

8

)

=

12

8

x

+

(

4

⋅

3

x

)

+

(

4

⋅

8

)

=

12

8

x

+

12

x

+

32

=

12

(

8

+

12

)

x

+

32

=

12

20

x

+

32

=

12

20

x

+

32

−

32

=

12

−

32

20

x

+

0

=

−

20

20

x

=

−

20

20

x

20

=

−

20

20

20

x

20

=

−

1

x

=

−

1

Step 2) Substitute

−

1

for

x

in the first equation and calculate

y

:

y

=

3

x

+

8

becomes:

y

=

(

3

⋅

−

1

)

+

8

y

=

−

3

+

8

y

=

5

The solution is:

x

=

−

1

and

y

=

5

or

(

−

1

,

5

)

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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Given:

The function is:

\(F(x)=2x^2+12x+5\)

To find:

The zeroes of the given function by using the Method of Completing the square.

Solution:

We have,

\(F(x)=2x^2+12x+5\)

It can be written as:

\(F(x)=2(x^2+6x)+5\)

By Method of Completing the square add and subtract square of half of coefficient of x in the parenthesis.

\(F(x)=2(x^2+6x+(\dfrac{6}{2})^2-(\dfrac{6}{2})^2)+5\)

\(F(x)=2(x^2+6x+(3)^2)-2(3)^2+5\)

\(F(x)=2(x+3)^2-2(9)+5\)                \([\because (a+b)^2=a^2+2ab+b^2]\)

\(F(x)=2(x+3)^2-18+5\)

\(F(x)=2(x+3)^2-13\)

For zeroes, F(x)=0.

\(2(x+3)^2-13=0\)

\(2(x+3)^2=13\)

\((x+3)^2=\dfrac{13}{2}\)

\((x+3)^2=6.5\)

Taking square root on both sides, we get

\(x+3=\pm \sqrt{6.5}\)

\(x=\pm \sqrt{6.5}-3\)

\(x\approx 2.55-3\) and \(x\approx -2.55-3\)

\(x\approx -0.45\) and \(x\approx -5.55\)

Therefore, the zeroes of the given function are -0.45 and -5.55.

Answer:

Below in bold.

Step-by-step explanation:

18 and 24 have the greatest Common Factor 6.

The ratio is18:24

The lowest ratio is obtained by dividing both numbers by 6:

= 3:4.

Answer:

See below

Step-by-step explanation:

See the attached image.  My calculation seems a bit off from what I expected, but the reasoning might help.

The paper is trailing the dropped object and a mark is made every 0.020 seconds.  By measuring the difference between the dots and dividing by the time, we can calculate the average speed at the the final 2 locations.  The difference in these speeds is due to acceleration, as shown in the calculation.

My result wasn't what is considered correct for Earth's acceleration of gravity, but I offer possible explanations.  Please check my calculations.

Answer:

-4(2+i)

Step-by-step explanation:

-8-4i (can factor out a 4)

-4(2+i)

Step-by-step explanation:

that is in this case totally simple :

both points have the same x value.

that means they are both on the same vertical line at x = 6.

so, we only need to calculate the y difference, and that is then their distance :

1 - -3 = 1 + 3 = 4

the distance is 4 units.

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer: x=8

Step-by-step explanation:

To solve for x, we want to use our algebraic properties to isolate x.

\(-\frac{1}{2}x-7=-11\)            [add both sides by 7]

\(-\frac{1}{2}x=-4\)                    [multiply both sides by -2]

\(x=8\)

Now, we know that x=8.

Answer:

5

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

The even numbers on a die are 2, 4 and 6 compared to the odd numbers 1, 3 and 5. This is 3/6 of the numbers which is 1/2 when simplified. 1/2 is equal to 50%

Answer:

120

Step-by-step explanation:

Objective:

Find how many distinguishable ways are there to order the letters in the word GRADE.

Step by step workout:

step 1

Address the formula, input parameters and values to find how many ways are there to order the letters GRADE.

Formula:

nPr =               n!

                -----------------

             (n1! n2! . . . nr!)

Input parameters and values:

Total number of letters in GRADE:

n = 5

Distinct subsets:

Subsets : G = 1; R = 1; A = 1; D = 1; E = 1;

Subsets' count:

n1(G) = 1, n2(R) = 1, n3(A) = 1, n4(D) = 1, n5(E) = 1

step 2

Apply the values extracted from the word GRADE in the (nPr) permutations equation

nPr =       5!

        ------------------------

         (1! 1! 1! 1! 1! )

=1 x 2 x 3 x 4 x 5

       --------------------

       {(1) (1) (1) (1) (1)}

= 120 / 1

= 120

nPr of word GRADE = 120

Hence,

The letters of the word GRADE can be arranged in 120 distinct ways.

Apart from the word GRADE, you may try different words with various lengths with or without repetition of letters to observe how it affects the nPr word permutation calculation to find how many ways the letters in the given word can be arranged.

Answer:

Weight of an object=J      

x=J/(379.2/150)

x=J/2.528

y=12.64/2.528

y=5

As given

The weight y of an object on Jupiter is proportional to the weight x of the object on Earth.

i.e

y = kx

where k is the constant of proportionality.

An object that weighs 150 pounds on Earth would weigh 379.2 pounds on Jupiter.

put in the eqaution

y = kx

379.2 = k × 150

k = 2.528

As given

A rock that weighs 12.64 pounds on Jupiter .

put in the equation

y = kx

12.64 = 2.528 × x

x = 5 pounds

Thus

A rock that weighs 12.64 pounds on Jupiter would weigh 5 pounds on Earth.

Therefore

y = A rock that weighs 12.64 pounds on Jupiter would weigh 5 pounds on Earth.

Step-by-step explanation:

Answer:

12.64 x 150/379.2

Step-by-step explanation:

the answer is 5

(379.2/150)

y=12.64/2.528

y=5

Answer:

\(y = - \frac{5}{4} x - \frac{1}{2} \)

Step-by-step explanation:

Slope-intercept form: y= mx +c, where m is the slope and c is the y-intercept.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{ - 3 - \frac{1}{8} }{2 - ( - \frac{1}{2}) } \)

\( = - \frac{5}{4} \)

Substitute the value of m into the equation:

\(y = - \frac{5}{4} x + c\)

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 2, y= -3,

\( - 3 = - \frac{5}{4} (2) + c\)

\( - 3 = - \frac{5}{2} + c\)

\(c = - 3 + \frac{5}{2} \)

\(c = - \frac{1}{2} \)

Thus, the equation of the line is \(y = - \frac{5}{4} x - \frac{1}{2} \).

The probability that the student will fail, given that he guesses the answers, is 0.227.

Since there are only two possible outcomes for each question (true or false),

the probability of guessing a correct answer is 1/2 = 0.5.

Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.

To find the probability of failing the exam,

we need to find the probability of answering less than 11 questions correctly.

Using the binomial probability formula,

the probability of getting k successes (correct answers) in n trials (questions) is given by:

P(k) = (n C k) * p^k * q^(n-k)

where p is the probability of success (getting a correct answer),

q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.

In this case,

n = 17, p = 0.5, and

q = 0.5.

The number of ways to get less than 11 correct answers is:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)

Substituting the values:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015

P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146

P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586

P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558

P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268

P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327

P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732

P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537

P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573

P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013

P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015

Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857

Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857

The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).

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Answer:

c bro okkkkkkkkkkkkkkmmmmmmmkkkkkkkkkbey

Answer:

Second, Third and fifth options

Step-by-step explanation:

Angle 1 not equal to Angle 2 (Add up to 180 degrees)

Angles 1 and 4 - Vertically opposite angles (Equal)

Angles 3 and 6 - Alternate angles (Equal)

Angle 3 not equal to Angle 5 (Add up to 180 degrees) - angles of a parallelogram

Angles 7 and 2 - Alternate angles and vertically opposite angles (Equal)

Angle 7 not equal to Angle 1 (Same reasoning as angles 3 and 5)

A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.

Then, we can find for which values of t we have h(t).

We equal h(t) to 0 and calculate t as:

The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.

B) The maximum height can be find in two ways:

- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.

- Deriving the function and equaling to 0 and finding t.

If we apply the first method, we have:

As the vertex is at time t=2 seconds, the maximum height happens at t=2.

Answer: A) t = 4 seconds B) t = 2 seconds

NOTE for Part B:

If we derive the expression, we get:

Answer:

£ 144

Step-by-step explanation:

the formula would be :

w = n * r

finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:

w = n *r

w = 7.20 * 20

w =£ 144

Instead of developing the geometry, some examples of creating the workpart geometry during machining include:

Contour turning:

Profile milling:

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Therefore, the probability of having at least 50 smokers in a sample of 300 adults is: 0.7467 or about 74.67%.

This problem can be solved using the binomial distribution, where X represents the number of smokers in a sample of size n = 300. We are interested in finding the probability that at least 50 are smokers, which can be written as:

P(X >= 50)

To calculate this probability, we need to use the binomial probability formula:

\(P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)}\)

where C(n, k) is the number of combinations of n items taken k at a time, p is the probability of success (being a smoker), and 1-p is the probability of failure (not being a smoker).

Since we are interested in at least 50 smokers, we need to calculate the probabilities for X = 50, 51, 52, ..., 300 and add them up. However, this would be very time-consuming and cumbersome. Fortunately, we can use the complement rule and calculate the probability of the complement event (i.e., fewer than 50 smokers), which is easier to compute:

P(X < 50) = P(X <= 49)

To calculate this probability, we can use a binomial probability calculator or a statistical software package. Using a binomial calculator, we find:

P(X <= 49) = 0.2533

Therefore, the probability of having at least 50 smokers in a sample of 300 adults is:

P(X >= 50) = 1 - P(X < 50) = 1 - 0.2533 = 0.7467

So the probability that at least 50 are smokers is 0.7467 or about 74.67%.

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Given equation is:

let us simplify,

use the formula

The answer is

Answer: C. Distribute 3/4 over (x-8)

Step-by-step explanation:

To solve any(technically most, but still...) algebraic equation you must isolate the variable.  In this case, the first step would either be to divide both sides of the equation by 3/4, or distribute 3/4 to x and -8, as you cannot modify the contents of the parenthesis without removing the 3/4.

Hope it helps and lmk if you further explanation <3 :)

Answer:

c

Step-by-step explanation:

on edge