Simplify (a+b)(a^2-ab+b^2)

Answer:

8

Step-by-step explanation:

Answer 2 is 12

Step-by-step explanation:

more than 11 is 12

The additional amount paid (finance charges) by the cardholder making monthly payments of $200 instead of paying off the current balance in full is D. $1,465.96.

The finance charges represent the interest and other fees that a cardholder or borrower pays for use of a credit facility.

The finance charges are based on the outstanding balance at each billing period and the annual percentage rate (APR).

I/Y (Interest per year) = 22.99%

PV (Present Value) = $4,528.34

PMT (Periodic Payment) = $-200

FV (Future Value) = $0

Results:

N = 29.971 months (2 years and 6 months)

Sum of all periodic payments = $-5,994.25

Total Interest (finance charges) = $1,465.91

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The probability that a cookie contains chocolate or nuts is 40% and does not contain chocolate or nuts is 60%.

i. Venn Diagram:

        ___________________
        |                                        |
        |            C ∩ N                  |
        |_______|___________|
        |               |                        |
        |          C   |   N                  |
        |_______|___________|

ii. To find the probability that a cookie contains chocolate or nuts (denoted by C ∪ N), we can use the inclusion-exclusion principle:

P(C ∪ N) = P(C) + P(N) - P(C ∩ N)

Given:

P(C) = 36%

P(N) = 12%

P(C ∩ N) = 8%

Substituting the values:

P(C ∪ N) = 36% + 12% - 8%

= 40%

Therefore, the probability that a cookie contains chocolate or nuts is 40%.

iii. To find the probability that a cookie does not contain chocolate or nuts (denoted by the complement of C ∪ N), we can subtract the probability of C ∪ N from 100%:

P(not C ∪ N) = 100% - P(C ∪ N)

Substituting the value of P(C ∪ N) calculated in part ii:

P(not C ∪ N) = 100% - 40%

= 60%

Therefore, the probability that a cookie does not contain chocolate or nuts is 60%

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The approximate solutions to the equation is (0.655, -2.618)

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

-2x

|-3 + 1| =

-2√x - 1

Express the equation properly

So, we have the following representation

-2x|-3 + 1| = -2√x - 1

This gives

-4x = -2√x - 1

Next, we split the equation

y = -4x

y = -2√x - 1

To solve graphically, we plot the equation and write out the point of intersection

Hence, the solution is (0.655, -2.618)

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The probability that x is odd is 3/5 for p(x = k) = (1/3)(1-1/3)^k for k = 0, 1, 2, 3,

In a geometric distribution, the probability of the kth trial being a success is given by p(k) = p(1-p)^(k-1), where p is the probability of success in a single trial. In this case, x is a geometric distribution with p = 1/3.

To find the probability that x is odd, we can sum the probabilities of all odd values of x. That is,

P(x is odd) = P(x=1) + P(x=3) + P(x=5) + ...

Substituting the formula for the geometric distribution, we get

P(x is odd) = (1/3)(1-1/3)^0 + (1/3)(1-1/3)^2 + (1/3)(1-1/3)^4 + ...

Notice that this is an infinite geometric series with first term a = (1/3) and common ratio r = (2/3)^2. The sum of an infinite geometric series is given by a/(1-r), so we have

P(x is odd) = (1/3) / (1 - (2/3)^2) = (1/3) / (5/9) = 3/5.

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The correct answer is:  [D]:  " \(m = \frac{-5}{2}\)  ".

______
Step-by-step explanation:
We are given:
" 5x  +  2y  =  -10 " ; Find the slope of the equation.
______
Rewrite this equation in slope-intercept format ;

that is:  " y =  mx  + b " ;

      in which:  
        y  remains as single value, as an 'output' ; or 'dependent  
variable', on the 'y-axis' (if graphed);
         isolated on the 'left-hand side' of the equation.
      m  is the coefficient of x in the equation; and represents the slope; for which we shall solve.
           {If there is no slope, then "m = 0" ; and "[0 * x = 0]." };
And the "slope-intercept format" is:  "y = b" }.
       b  represents the "y-intercept" ; i.e. when the line crosses the
"y-axis" when graphed;  that is, the "y-value" of the "coordinate" of the "y-intercept" ; [i.e. the value of "y" when "x = 0" ;  so;  " (0, b) ".

{ Note:  b  can equal "0" ; in those cases:  y = mx + 0 ; write as " y = mx "}.

{ If there is no slope, [i.e. "m = 0" ; and no "y-intercept" ;  [i.e. "b = 0"];
 Then:  write the equation accordingly—e.g. " y = [whatever number the graph represents]." }.

 Also, note that b can be a "negative number"; as well.
  In that case,  write an equation in "slope-intercept format" ; that is;  
   →" y = mx + b " ;   as:   " y = mx " .     
______
Given:  " 5x  +  2y  =  -10 " ;  
 Let's rewrite:    ↔  " 2y + 5x  =  -10 " ;  to get the "y-value" a bit closer to the 'left-hand side' of the equation.

  Then: Let's subtract 5x from Each Side of the equation;
      2y + 5x − 5x  = -10 − 5x  ;

 to get:  " 2y =  -10 − 5x " ;

______
Method 1):
  We have: " 2y = -10 − 5x " ;

 Divide Each Side by 2 ; to isolate y on the 'left-hand side' of the equation, and to rewrite as an equation in the slope-intercept format :

  2y / 2 = (-10 − 5x)/2 ;

   →  \(y =\frac{-10-5x}{2}= \frac{-10}{2}-\frac{5x}{2}\) ;
              →    \(\frac{-10}{2} =\) -10 ÷ 2  = -5 ;

                   Rewrite the equation by replacing " \(\frac{-10}{2}\) " ;  with:  -5 ;
              →  \(y = -5 - \frac{5x}{2}\) ;

             Then, rewrite to get the equation in "slope-intercept format"

              →  \(y = -5 - \frac{5x}{2}\) ;
                     \(= -5 + (-\frac{5x}{2})\) ;  ↔ Rewrite:
                     \(= \frac{-5x}{2} + (-5)\) ;   ↔ Rewrite again:
                     \(=\frac{-5x}{2} -5\) ;

             →   \(y = \frac{-5x}{2} -5\) .

Note:  " \(\frac{-5x}{2} = \frac{-5}{2} x\) " ;

            →   \(y = \frac{-5}{2}x-5\) ;

 This is the equation written in "slope-intercept format" ;

 that is:  " y = mx + b " ;

  in which:
 y is isolated as a single variable on the 'left-hand side' of the equation;

 m = \(\frac{-5}{2}\) ; which is the slope; which is also the "coefficient" of x ;

 b = -5 ; which is the 'y-coordinate' of the "y-intercept" of the graph;
So, the slope; "m = -5/2" ; is the correct answer; which corresponds to:
Answer choice:  [D]: " m = \(\frac{-5}{2}\)  " .
______

Method 2):

Given:  " 5x + 2y = -10" ; Find the slope of the line.

We want to rewrite the equation in the "slope-intercept format" ;

" y = mx + b " ; as explained above;

  to get the correct answer for m, the slope of the line.

" 5x + 2y = -10 " ↔ Rewrite as:
  2y + 5x =  -10 ;  since we want to isolate y as a single variable on the 'left-hand side' of the equation;  and by rearranging & rewriting this equation, the 2y is closer to the 'left' of the equation.

Now, subtract 5x from Each Side of the equation:
  2y + 5x − 5x = -10 − 5x ;
  to get:  2y = -10 − 5x ;

Now, Let's multiply the entire equation (i.e. "Each Side") by  -1 ;

to make the equation easier to handle;
    -1(2y) = -1 (-10 − 5x) ;
For the 'left-hand side' of the equation:
 -1*2y = -2y
For the 'right-hand side' of the equation:

Note the 'distributive property of multiplication'; as follows:
    a(b + c) = ab + ac ;
Likewise:  
-1(-10 − 5x) = (-1 *-10) + (-1 *-5x) ;

                 =  (10) + (5x) = 10 + 5x ;

Now, rewrite the entire equation:

-2y = 10 + 5x ;  ↔ Rewrite as;
   -2y = 5x + 10 ;  
Then, we divide Each Side of the equation by -2 ;
  to isolate y as a "single variable" on the 'left-hand side' of the equation;

   and to rewrite the equation in "slope-intercept format" ;

    -2y / -2 = (5x + 10) /-2 ;

    →  \(y=\frac{5x+10}{-2} =\frac{5x}{-2} +\frac{10}{-2} =\frac{5x}{-2}+(-5) =\frac{5x}{-2}-5\) ;
    → \(y=\frac{5x}{-2} - 5\) ;
which is written in "slope-intercept format" ; that is:
 " y = mx + b " ;

in which:  

y is isolated as a single variable on the 'left-hand side' of the equation;

m = \(\frac{5}{-2}\) ; which does equal  " \(-\frac{5}{2}\) " ;  which does equal " \(\frac{-5}{2}\) " ;

which is the slope of the equation, as well as the 'coefficent of x' ;

b = -5 ; which is the 'y-coordinate' of the "y-intercept".
______
As such:  
The correct answer choice is:  [D]: " m = \(\frac{-5}{2}\) " .
{Note: This is consistent with the answer choice from Method 1  above.}

______
Hope this answer and explanation is helpful.
Best of luck to you!
______

I hope it help...................

120cm is the answer.write this

Answer:

"in the figure above" ?

Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

See below

Step-by-step explanation:

\( In\: \triangle AKL, \:\\ AK = 9,\: \\m\angle K = 90\degree, \: \\m\angle A= 60\degree \\

\therefore m\angle L = 30\degree\\

By \:30°-60°-90° \:\triangle \:theorem:\\

AK = \frac{1}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:30\degree) \\\\

9 = \frac{1}{2} \times AL\\\\

AL = 9\times 2\\\\

\huge\red{AL = 18}\\\\

KL = \frac{\sqrt 3}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:60\degree) \\\\

KL = \frac{\sqrt 3}{2}\times 18\\\\

KL = 9\times \sqrt 3\\\\

\huge\purple{KL = 9\sqrt 3}\\\\

P(\triangle AKL) = AK + KL + AL\\

P(\triangle AKL)= 9 + 9\sqrt 3+18\\

\huge\orange{P(\triangle AKL)=(27 + 9\sqrt 3) \: units} \\\\

A(\triangle AKL) = \frac{1}{2} \times KL\times AK\\

A(\triangle AKL) = \frac{1}{2} \times 9\sqrt 3\times 9\\

A(\triangle AKL) = \frac{81\sqrt 3}{2} \\

\huge\pink{A(\triangle AKL) = 40.5\sqrt 3\: units^2} \)

Answer: Um sure you can

Answer:

11 degrees

Step-by-step explanation:

Starting from -8 and counting upwards towards 0 then on to 19

-8 , -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

The percent of the dresses that are for films set in the 1700s or during the civil war era is; 75%

Percentage is normally calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by the expression; Percentage = (value / total value) * 100%

Now, we are told that;

Number of movie dresses kept = 240 dresses

Fraction used for  movies that take place in the 1700s = 3/5

Percentage used for movies in the civil war era = 15%

Thus;

Number of dresses in the 1700 = 3/5 * 240 = 144

Number of dresses for the civil era = 15% * 240 = 36

Thus;

Total for civil era and in the 1700s = 144 + 36 = 180

Thus;

Percentage for either period = 180/240 * 100% = 75%

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Answer:

Luh Goop

Step-by-step explanation:

Your Mom

Someone help me with this pls

Answer: 88

Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88

Answer:

#1 = 13

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=5\\a^{2} =5^{2}\)

\(b=12\\b^{2} =12^{2}\)

\(c^{2} =\sqrt{5^{2}+12^{2}} \\c=13\)

Answer:

#4 ≈ 55.9

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=50\\a^{2} =50^{2}\)

\(b=25\\b^{2} =25^{2}\)

\(c^{2} =\sqrt{50^{2}+25^{2}} \\c =about 55.9017\)

False. Null and alternative hypothesis are not statements about descriptive statistics.

Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.

The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.

Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.

Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.

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The heat loss due to sudden expansion is given by ,   HL = ( v₁ - v₂)²/2g

The Bernoulli, continuity, and momentum balans equations can be used to obtain this equation.

The fundamental premise used to derive this equation is that the pressure immediately following the expansion (let's say p0) equals the pressure before to the expansion (p1).

Bernoulli equation with pressure loss:

p₁+ 0.5pv₁² = p₂ + 0.5pv₂² + pL

after rearranging the equation,

HL= (p₁-p₂) /pg + (v₁² - v₂²)/ 2g

Applying the momentum balans on the Control Volume between position 1 and 2

p₁A₁ + p₀(A₂ - A₁) + p₂A₂ = rho(A₂v₂² - A₁v₁²)

after using continuity equation the equation becomes:

(p₁-p₂) /pg = v₂(v₁-v₂)/g

which then becomes

HL = ( v₁ - v₂)²/2g  i. e , our required equation.

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Answer:

C = 28.278  m

Step-by-step explanation:

The attached figure shows a circle whose diameter is 9 m.

Radius = Diameter/2

r = 9/2 = 4.5 m

The circumferance of the circle is given by :

C = 2πr

Put r = 4.5 m in the above formula

C = 2 × 3.142 × 4.5

= 28.278  m

So, the circumference of this circle is 28.278  m.

Answer: (-1,4) is the answer

Answer:

g(-2)= 5*(-2) + 1

= -10+1

= -9

Answer:

g(-2) = -9

Step-by-step explanation:

g(x)=5x+1,

Let x = -2

g(-2) = 5(-2) +1

        = -10 +1

         = -9