7
10
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What is the area of the triangle shown above?

Answer:

(x - 8y + z)(x - 2y - z)

Step-by-step explanation:

Factorize :

x²-10xy + 16y²-z² + 6yz​

Solution:

x²-10xy + 16y²-z² + 6yz​

Firstly, make sure that all the terms are arranged in a well ordered manner:

x²-10xy + 16y²-z² + 6yz​

Secondly, split the term (16y²) common to both equation:

(x²-10xy + 25y²) - 9y² -z² + 6yz​

Thirdly, factorize both terms:

(x - 5y)² - 1(z² - 6yz + 9y²)

Factorizing the second term:

(x - 5y)² - (z - 3y)²

Using the difference of two squares, that is A² - B² = (A + B)(A - B):

(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]

= [x - 5y + z - 3y][x - 5y - z + 3y]

= (x - 8y + z)(x - 2y - z)

Answer:

125 as a fraction is 1/8.

0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.

Step-by-step explanation:

hey mate hope it cleared your problem!!

Answer:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

Step-by-step explanation:

                         cutting       sewing    finishing  Profit $

Jean1   (x₁ )           8                 12              4             4

Jean2  (x₂ )          12                18              8              4.5

Jean3  (x₃ )          18                24            12              6

Time available  5200          6000        2200

b) Formulation of a linear programming problem:

Objective Function  z

z  =  4*x₁   +  4.5*x₂  + 6*x₃        to maximize

Constrains:

Constrain 1

Available cutting time  5200 minutes

8*x₁  +  12*x₂  +  18*x₃   ≤  5200

Constrain 2:

Available sewing  time  6000 minutes

12*x₁  +   18*x₂   +  24*x₃    ≤  6000

Constrain 3:

Available finishing time  2200 minutes

4*x₁   +   8*x₂   +  12*x₃    ≤ 2200

General constraints:

x₁    ≥ 0            x₂   ≥ 0             x₃  ≥  0     all integers

After 6 iterations the optimal solution is:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

We can see in the model that times required to make jean 2  and jean 3

are much bigger than jean 1 and but the price of jean 2 is only 0.5 $ above the price of jean 1 and jean 3 is only 2 $.

Answer:

787.50

Step-by-step explanation:

interest=principle*rate*time/100

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

Answer:

40% of policyholders are expected to have an accident next year

Step-by-step explanation:

Given the data in the question;

P( collision coverage ) = 60% = 0.6

P( comprehensive coverage ) = 70% = 0.7

Now, we make use of the Law of addition of probability, so

P( collision coverage and comprehensive coverage ) = P( collision coverage )  + P( comprehensive coverage ) - P( collision coverage or comprehensive coverage )

P( collision coverage and comprehensive coverage )  = 0.6 + 0.7 - 1

P( collision coverage and comprehensive coverage ) = 0.3

Now,

P( comprehensive coverage only ) = P( comprehensive coverage ) - P( collision coverage and comprehensive coverage )

P( comprehensive coverage only ) = 0.7 - 0.3

P( comprehensive coverage only ) = 0.4

And

P( collision coverage only) = P( collision coverage ) - P( collision coverage and comprehensive coverage )

P( collision coverage only) = 0.6 - 0.3 = 0.3

Next  we make use of the Law of total probability;

P( accident ) = [P( accident ║ collision coverage only) × P( collision coverage only)] + [P( accident ║ comprehensive coverage only) × P( comprehensive coverage only)] + [P( accident ║ collision coverage and comprehensive coverage only) × P( collision coverage and comprehensive coverage only)]

so we substitute in our values;

P( accident ) = [ 30% × 0.3 ] + [ 40% × 0.4 ] + [ 50% × 0.3 ]

P( accident ) = [ 0.3 × 0.3 ] + [ 0.4 × 0.4 ] + [ 0.5 × 0.3 ]

P( accident ) = 0.09 + 0.16 + 0.15

P( accident ) = 0.4 or 40%

Therefore,  40% of policyholders are expected to have an accident next year

Answer:

Step-by-step explanation:

Charlie has $27

He spent $3 for kid's meal for his little brother

Remaining money=27-3=$24

Number of Sandwiches he wants to buy = 6

Money he needs to pay for each sandwich = 24/6 = $4

Answer:

a) Answer: $4 or less

b) Inequality: 6x + 3 ≤ 27

Step-by-step explanation: took the quiz and got it right!

Answer:

A. g(x) = -2x^5 - 1.

Step-by-step explanation:

Reflection over the x axis results in the function -x^5.

Vertical stretch of 2 gives -2x^5

Finally a shift down of 1 unit gives -2x^5 - 1

The function results after applying the sequence of transformations to

f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now,

After Reflection over the x axis results in the function is,

g (x) = - x⁵

And, After Vertical stretch of 2 gives,

g (x) = -2x⁵

Then, Finally a shift down of 1 unit gives,

g (x) = -2x⁵ - 1

Thus, The function results after applying the sequence of transformations to f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

Answer:

12

Step-by-step explanation:

The ratio is 9:30

So for 40 people , it would be ?:40

Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas

Answer:

12 i think

Step-by-step explanation:

Answer:e so ir no tradutor

Step-by-step explanation:

Answer:

D is your answer.

Step-by-step explanation:

hope you get  it right.

⭐❤

Answer:K=-2

Step-by-step explanation:

becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

Answer:

B. x</=-3

Step-by-step explanation:

the arrow is pointed to the left which means less than and the end is shaded which means or equal to

Answer:

its legit 5

Step-by-step explanation:

Answer:

Very tricky question..

4 + 1 is 5 because you have written 4+1 not 4 1

so 5 is correct answer

Step-by-step explanation:

hope it helps

Answer:

8.5 miles an hour.

Step-by-step explanation:

There are many ways to do this, but I am going to do it the way I think is the most simple.

First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333

Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.

You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.

Answer:

B) Coefficient.

Step-by-step explanation:

The coefficient is the numerical constant in the given term.

For example, the given term is 4x, in which:

4 is the coefficient.

x is the variable.

5 is the constant.

20 is another constant.

~

9514 1404 393

Answer:

  g(x) = 3|x|

Step-by-step explanation:

Each value of g is 3 times the corresponding value of f:

  g(x) = 3·f(x)

  g(x) = 3|x|

Answer:

n + 4

Step-by-step explanation:

Given

⅕(m + m + 1 + m + 2 + m + 3 + m + 4) = n

Required

⅑(m + 2 + m + 3 +.......+ m + 10)

We have:

⅕(m + m + 1 + m + 2 + m + 3 + m + 4) = n

Multiply both sides by 5

m + m + 1 + m + 2 + m + 3 + m + 4 = 5n

Collect like terms

m + m + m + m + m = 5n - 1 - 2 - 3 - 4

5m = 5n - 10

Divide both sides by 5

m = n - 2

So, we have:

⅑(m + 2 + m + 3 + m + 4 + m + 5 + m + 6 + m + 7 + m + 8 + m + 9 + m + 10)

Collect like terms

= ⅑(m+m+m+m+m+m+m+m+m+2+3+4+5+6+7+8+9+10)

= ⅑(9m + 54)

= m + 6

Substitute n - 2 for m

= n - 2 + 6

= n + 4

Answer:

4)8 goats, 3 hens.

Step-by-step explanation:

8*4=32

3*2=6

32+6=38

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

Step-by-step explanation:

There are many ways

-1 - 1 = - 2

-5 + 3 = -2

Answer:

(-3+1) and 1,000,000+(-1,000,002)

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

im solving now almost done

Answer:

b.)    (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1

;)

Answer:

πr of length

»» 3.14 x (5)²

»» 3.14 x 30 = 94.2cm²

πr of base

»» 3.14 x (4)²

»» 3.14 x 16 = 50.24cm²

Length x base

»» 94.2cm² x 50.25cm²

A= 4733.55cm²

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Answer:

c

Step-by-step explanation:

There are three types of variations.

1. Direct

2. Inverse

3. Joint

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

 where b = constant of proportionality

Joint variation occurs when the dependent variables value is determined by two or more values

For example, the volume of a cylinder is dependent on the value of the radius and height

Answer:

I guess it is the Answer C

Answer:

C

The distance around the edge of the circle