pls help!
If a and b are real numbers, then (a + b)^2 = a^2 + b^2
Provide a counterexample for the statement.
A)
a = 0 and b = 1
B)
a = 1 and b=0
C)
a = 1 and b = 2
D)
a = 0 and b = 0

Answer:

y = 1

Step-by-step explanation:

y - 3 = 7 (y - 9/7)

y - 3 = 7*y + 7*-9/7

y - 3 = 7y - 9

y - 7y = 3 - 9

-6y = -6

y = -6/-6

y = 1

probe:

1 - 3 = 7(1 - 9/7)

-2 = 7*-2/7

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

The length of each piece is 2 units and 10 units.

To know how times a number is to another just divide the larger number to the smaller number.

According to the given question a 12 foot board is cut so that one piece is 5 times as long as the other.

Assuming one piece to be x and the other to be 5x.

∴ x + 5x = 12

   6x = 12

     x = 2.

So, one piece is of 2 units and other piece is of 5(2) = 10 units.

To confirm that one piece is of 5 times of the other we divide the larger piece by the smaller piece which is 10/2 = 5.

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Answer:

244.8

Step-by-step explanation:

If we divide a number by 10, we are moving the decimal place on value to the left.

The decimal place is currently here:

2448.000

So moving it left one gets us:

244.8000

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

First, we move all variables to one side of the equation. (Don't forget to change signs.)    

9x - 8x + x = 7 + 3

Then, we simplify

x + x = 10

2x = 10

10 divided by 2 is equal to 5.

Therefore, x = 5

Hope this helps!

The solution of the given equation  9x-3-8x=7-x for x will be 5.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

9x - 3 - 8x = 7 - x

x - 3 = 7 - x

x + x = 7 + 3

2x = 10

x = 5

Hence "The solution of the given equation  9x-3-8x=7-x for x will be 5.".

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Answer:

Step-by-step explanation:

[tex]Mass = 50kg\\Acceleration = 5m/sec\\Force = ?\\\\Force = Mass\times acceleration\\\\Force = 50\times 5\\\\ Force = 250\: joules \: or \:250kgm/s[/tex]

Answer:

-3

Step-by-step explanation:

(y2-y1)/(x2-x1)  =  (2-(-1))/(-4-(-3))

= (2+1)/(-4+3)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

To get the slope we do (-1-2)/(-3+4)

so the slope is -3

Answer:

15

Step-by-step explanation:

6/10=9/x

cross multiply

6x=9*10

6x=90

x=90/6x=15

Full question attached

Answer:

D. With 99​% ​confidence, it can be said that the population mean driving distance to work​ (in miles) is between the​ interval's endpoints

Step-by-step explanation:

The new confidence interval is narrower than the confidence interval for the t-distribution and the center is 21.7

please note that the options chosen are different for the attachment and the question here but are same answer

Answer:

The height of the flag was 3 feet.

Step-by-step explanation:

To solve this problem, we must first recall the formula for area of a rectangle to be:

Area = base * height

Next, we can substitute in the values that we were given in the problem.  We were told that the area was 27 square feet and the base was 9 feet.

27 = 9 * height

Now we can treat this equation that we have created similar to any other equation we would like to solve.  We must solve for the unknown, or the variable, which in this case is the height.  To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation.  This is modeled below:

27/9 = (9 * height)/9

3 = height

Therefore, the height of the flag was 3 feet.

Hope this helps!

Answer:

The height is 3,

Step-by-step explanation:

First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.

I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.

Hope this has helped!

:)

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI  = (999/499) × 100

CPI  = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

so

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

Answer:

-3x-3=-3(x+1)

opening the bracket and collecting like terms, we have

-3x+3x=-1+3

thus, no solution

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 ≤ 0

(x - 6)(x - 6) ≤ 0

(x - 6)² ≤ 0

x - 6 = 0

x = 6

es el único valor que cumple la condición, cualquier otro sera mayor que 0

Answer:

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

Step-by-step explanation:

For n=6  the degrees of freedom will be n-1 = 5 .

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

The critical region depends on ∝ and the alternative hypothesis

a) When Ha is σ²≠σ² the critical region is

χ²  < χ²(1-∝/2)(n-1) and  χ² > χ²(1-∝/2)(n-1)   Two tailed test

( χ²  < 0.83) and ( χ²  > 0.83)

b) When Ha is σ²> σ² the critical region falls in the right tail and its value is

 χ² > χ²(∝)(n-1)   One tailed test  {11.07  (One tailed test )}

c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value  

χ²(1-∝)(n-1)  One tailed test  (1.145)

Answer:

the newsar si evsenyt esventy

Step-by-step explanation:

Answer: $1489.23 is the amount Mr. Leonard must pay to the agency, which is 22% of his 4-week salary of $6769.24.

This is assuming Mr. Davis and Mr. Leonard are the same person.

Fill in the blank answers: $88,000. $1692.31. $6769.24. $1489.23.

Answer:

-1

Step-by-step explanation:

Answer:

a. x=80

b. x=30

Step-by-step explanation:

Use the exterior angle theorem: as shown in the picture

# a

25+x=105

     x=80

#b

2x+(3x+2)=152

       5x+2=152

          5x=150

            x=30

Answer:

Step-by-step explanation:

Hello, let's compute the first lines of the Pascal's triangle.

1

1 1

1 2 1

1 3 3 1

So for this question,

[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

And then, the correct answer is A.

Thank you

Using pascals triangle coefficients of the expanded polynomial (a + b )³ is  1  3  3  1. Option A is correct

it is the array(in triangle form) of numbers, starting with 1 on the uvertexvetex and with 1's tending down to the two sides of a triangle. Each number lies between two numbers and down to them, and every value is the addition of the two numbers present at the above adjacent.

( a + b )³ = a³ + 3 a² b + 3 b² a + b³

Pascal's triangle =
              1
       1     2     1
  1       3     3      1  
1      4      6      4    1  
and so on
From the above triangle, it represents ( a + b )^n  where every number represents the coefficient. As for the given question the n = 3 so the third row in the pascal triangle i.e. coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

Thus, the coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

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Answer: 900ml

Step-by-step explanation:

Recipe serves 4

Invited guests is 24 which is 6 x the recipe

6 x 150ml = 900ml

A quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

We have Lynn needs to cater for 24 people.

Assume that she intents to make [x] pancakes for each individual. And, in order to make 1 pancake, [y] liters of milk is needed. So, for a total of 24 people, she will make (24x) pancakes, that will need -

A{milk} = 24xy

Therefore, a quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

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Answer:

(m-1)(m+1)(m+10)

Step-by-step explanation:

Factors of each expression:

m² + 11m + 10 = (m+1)(m+10)

m² + 9m – 10 = (m-1)(m+10)

LCM of the two expressions is:

Answer:

Sample Answer

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.

The new equation is: 1 5/15 + 2 6/15.

1 5/15 + 2 6/15 = 3 11/15.

hope this helps :)

Step-by-step explanation:

The ratio of Ali mass to Williams mass is

6 : 3

= 2 : 1

Option 2 is the correct answer

Answer:

I think B or C I'm not sure but I hope this helps!

Step-by-step explanation:

Answer:

w = -20

Step-by-step explanation:

Solve for w:

4 - 2 (1 - w) = -38

Hint: | Distribute -2 over 1 - w.

-2 (1 - w) = 2 w - 2:

2 w - 2 + 4 = -38

Hint: | Group like terms in 2 w - 2 + 4.

Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):

2 w + (4 - 2) = -38

Hint: | Evaluate 4 - 2.

4 - 2 = 2:

2 w + 2 = -38

Hint: | Isolate terms with w to the left hand side.

Subtract 2 from both sides:

2 w + (2 - 2) = -2 - 38

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

2 w = -2 - 38

Hint: | Evaluate -2 - 38.

-2 - 38 = -40:

2 w = -40

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 w = -40 by 2:

(2 w)/2 = (-40)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

w = (-40)/2

Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.

The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:

Answer: w = -20

Step-by-step explanation:

[tex] \frac{ \sin(3A) + \sin(A) }{2 \sin(2A) } [/tex]

Using the trigonometric identity

[tex] \sin(x) + \sin(y) = 2 \sin( \frac{x + y}{2} ) \cos( \frac{x - y}{2} ) [/tex]

Rewrite the expression

We have

[tex] \frac{2 \sin(2A) \cos(A) }{2 \sin(2A) } [/tex]

Reduce the fraction with 2

That's

[tex] \frac{ \sin(2A) \cos(A) }{ \sin(2A) } [/tex]

Reduce the fraction with sin 2A

We have the final answer as

As proven

Hope this helps you

Answer:

Parallel Lines

Step-by-step explanation:

This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.

Hope this helped!

-Taxable wages & tips subject to Additional Medicare Tax withholding Total Advances Received From Filing Form(s) 7200 for the Quarter · 13g. Your Form 941 is due by the last day of the month that follows the end of the quarter

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -6 , 3 ) ⇒ ( x₁ , y₁ )

B ( -7 , -4 )⇒ ( x₂ , y₂ )

Now, let's find the slope:

[tex] \mathsf{\frac{y2 - y1}{x2 - x1}}[/tex]

Plug the values

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 - ( - 6)} }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 + 6}} [/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 7}{ - 1} }[/tex]

Any expression divided by -1 equals it's opposite

⇒[tex] \mathsf{7}[/tex]

Hope I helped!

Best regards!!