How do you know what row of Pascal's Triangle to use to expand a binomial?

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Answer:

multiply 3.75 to 28 and it equals 105

Step-by-step explanation:

The amount of money spent to buy 28 burritos will be $105.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.

The money required to purchase 28 burritos will be calculated as:-

12 burritos = $45

1 burrito = 45 / 12

28 burritos = ( 45 / 12 ) x 28

28 burritos = $105

Therefore, the amount of money spent to buy 28 burritos will be $105.

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Answer:

x= 9/a

Step-by-step explanation:

Answer:

38+41=79

Step-by-step explanation:

i did the math

Answer:

$13.5

Step-by-step explanation:

l= P×R×T/100

I= 12,500×9×12/100

l= $13,5

The interest earned for his investment after 12 years is $13,500.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, P=$12,500, rate of interest=9% and time period=12 years.

Here, simple interest = (12500×9×12)/100

= 1350000/100

= 13,500

So, the interest is $13,500

Therefore, the interest earned for his investment after 12 years is $13,500.

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Answer:

B.

Step-by-step explanation:

Answer:

We have the equation:

3x - 5y = 15

a) We want to create a table with at least 4 points.

To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.

5y = 3x - 15

y = (3/5)*x - 3.

Then we have a linear equation.

Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.

x = 0.

y = (3/5)*0 - 3

y = -3

Then we have the point (0, -3).

x = 1.

y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5

y = -12/5

Then we have the point (1, -12/5)

x = 5

y = (3/5)*5 - 3 = 3 - 3 = 0

y = 0

then we have the point (5, 0)

x = 10

y = (3/5)*10 - 3 = 6 - 3 = 3

y = 3

Then we have the point (10, 3).

Now we can create the table

[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]

Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.

Answer:

The  value is [tex]z = 3[/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  [tex]p  = 0.10[/tex]

   The  sample size is  [tex]n  = 225[/tex]

   The  number of senior citizens is  k =  36

   The  null hypothesis is  [tex]H_o :  p =  0.10[/tex]

    The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^{p} =  \frac{k}{n}[/tex]

=>   [tex]\^{p} =  \frac{  36 }{225}[/tex]

=>  [tex]\^{p} =0.16[/tex]

Generally the test statistics is mathematically represented as

     [tex]z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]

=>    [tex]z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]

=>    [tex]z = 3[/tex]

Answer:

P-value ≈ 0.0588

Step-by-step explanation:

Answer:

about $2.99

Step-by-step explanation:

to find the amount of the discount you find 15% of $19.95

19.95 * .15 = 2.9925 which is about 2.99

Answer:

Give the otherperson brainliest pls and thank u

Step-by-step explanation:

Answer:

Use the distributive property to multiply the factors on the right side of the equation.

Simplify the product by combining like terms.

Show that the right side of the equation can be written exactly the same as the left side.

Show that the right side of the equation simplifies to a cubed minus b cubed.

Step-by-step explanation:

The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.

a³ - b³ = (a - b)(a² + ab + b²)

(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)

Multiplying out the brackets gives us;

a³ + a²b + ab² - a²b - ab² - b³

Like terms cancel out to give us;

a³ - b³.

This is same as the left hand side of our initial equation and thus it has been proved.

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Answer:

5. perpendicular

6. neither

7. parallel

8. perpendicular.

Step-by-step explanation:

i used the slope formula to compare them. it's easier than graphing if you want to be exactly sure of your answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

Answer:

7/11 green or red balls

Step-by-step explanation:

5 + 3 + 2 = 11 = whole basket

5 + 2 = 7 = red + green

probability = 7 / 11  balls

Hope this helps!

The probability that the next ball he randomly chooses will be red or green is 7/10

From the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green

From the given information,

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls

∴ Total number of possible outcome = 5 + 3 + 2 = 10

Now we will determine the probability of picking red

Using the formula,

[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]

∴ [tex]P(R) = \frac{5}{10}[/tex]

For the probability of picking green

[tex]P(G) = \frac{2}{10}[/tex]

Then, the probability of red or green is

∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]

[tex]P(R \ or \ G) = \frac{7}{10}[/tex]

Hence, the probability that the next ball he randomly chooses will be red or green is 7/10

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Answer:

I think it is Positive."

Step-by-step explanation:

I am so sorry if it is not correct.

Good luck!

Answer:

the last 1

Step-by-step explanation:

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

9514 1404 393

Answer:

  G

Step-by-step explanation:

The one point with a y-value of 0 is the one on the x-axis: G.

Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

Answer:

24x-5

Step-by-step explanation:

x= number of batches

24x -5

Answer:

$2.99

Step-by-step explanation:

Given parameters:

Selling price = $19.95

Discount percentage  = 15%

Unknown:

Amount of discount = ?

Solution:

To find the amount of discount, ;

   Discount amount  = discount percentage x selling price

  Discount amount  = [tex]\frac{15}{100}[/tex] x 19.95

  Discount amount  = $2.99

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]

[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

Answer:

26

Step-by-step explanation:

Let the peter's number be represented    x

Given that

1. if you subtract 19 from my number

writing it mathematically it will be x -19

2. multiply the difference by -3

it can be written as

since difference is x-19

multiplied the difference with -3

-3(x-19)

3. the result is -21

-3(x-19) = -21

dividing both side by -3

-3(x-19)/-3 = -21/-3

x-19 = 7

adding 19 both sides

x-19 + 19  = 7 + 19

x = 26

Thus, peter's number is 26.

Answer:

yes it can i think

Step-by-step explanation:

Answer:

0.96

Step-by-step explanation:

Given that the a die is rolled 8 number of times.

[tex]n[/tex] = 8

Probability of getting a 6 on roll of a die,  [tex]p=\frac{1}{6}[/tex]

Probability of not getting a 6 on roll of a die,  [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]

Probability of getting 6 three or fewer times:

[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

Formula:

[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]

Putting the values using this formula:

[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]

Answer:

75

Step-by-step explanation:

The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.

At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.

The average rate of change between 9:00 AM and 12:00 PM:

= (103 - 28)/(12 - 9)

= 75/3

= 25

Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

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