Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error. After identifying the step with the first error, explain the corrected steps and find the final answer.

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Square roots are usually in the form a√b where a and b are any rational number.

Answer:

6y² - 24

Step-by-step explanation:

Expand. Follow FOIL method. FOIL =

First

Outside

Inside

Last.

First, multiply the first term of each parenthesis:

2y * 3y = 6y²

Next, multiply the outside terms from both parenthesis:

2y * 6 = 12y

Then, multiply the inside terms from both parenthesis:

-4 * 3y = -12y

Finally, multiply the last terms of each parenthesis:

-4 * 6 = -24

Combine like terms:

6y² + 12y - 12y - 24

6y² + (12y - 12y) - 24

6y² - 24

6y² - 24 is your answer.

~

[tex] \Large{ \boxed{ \rm{ \red{To \: solve?}}}}[/tex]

⇛ (2y - 4)(3y + 6)

⇛ 2y(3y + 6) - 4(3y + 6)

⇛ 6y² + 12y - 12y - 24

⇛ 6y² - 24

☃️ So, Final answer = 6y² - 24

Answer:

[tex]\large \boxed{{p=2}}[/tex]

Step-by-step explanation:

9(p-4) = -18

Expand brackets.

9p -36 = -18

Add 36 on both sides.

9p -36 + 36 = -18 + 36

9p = 18

Divide both sides by 9.

(9p)/9 = 18/9

p = 2

Answer:

p = 2

Step-by-step explanation:

9(p - 4) = -18

You are solving for the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 9 from both sides:

(9(p - 4))/9 = (-18)/9

(p - 4) = -18/9

p - 4 = -2

Isolate the variable, p. Add 4 to both sides:

p - 4 (+4) = -2 (+4)

p = -2 + 4

p = 4 - 2

p = 2

Check. Plug in 2 for p in the equation:

9(p - 4) = -18

9(2 - 4) = -18

9(-2) = - 18

-18 = -18.

~

Answer:

25.13

Step-by-step explanation:

Answer:

C ≈ 25.13 feet

Step-by-step explanation:

A = πr²

16π = πr²

divide by π

16 = r²

r = 4

plug r into circumference equation:

C = 2πr

C = 2π(4)

C ≈ 25.13

hope this helps :)

Answer:

  842, 743, 394, 305, 836

Step-by-step explanation:

We arbitrarily chose the ones digit to start with as 2. (It must be 5 or less.) The other two digits are chosen by a random number generator, as shown in the attached.

The 5 three-digit numbers we chose are ...

  842, 743, 394, 305, 836

Answer:

The only criteria the question gives are that there must be 5 numbers, and the numbers must have 3 digits. The ones digit in the numbers should go up by 1.

So, we can have 111, 112, 113, 114, and 115.

Hope this helps!

Answer:

[tex]\large \boxed{\sf \bf \ \ x^2-6x+45 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

You need to develop the expression.

[tex]y=(x-3)^2+36\\\\=x^2-2 * 3 * x +3^2+36\\\\=x^2-6x+9+36\\\\=x^2-6x+45[/tex]

Thank you.

Answer:

D

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

2x^2-4x 6x^2-5x

2x^2 times 6x^2= 12x^4

2x^2 times -5x= -10x^3

-4x times 6x^2= -24x^3

-4x times -5x= 20x^2

12x^4-10x^3-24x^3+20x^2

12x^4-34x^3+20x^2

(Also Brainliest if this helps pls)

Answer:

B. 6,940,000

Step-by-step explanation:

6.94 x 10^6

Make the number "6.94" as 694.

Since we make this decimal point move 2 places to the right.

We should decrease 2 powers from 10^6

=> 694 x 10^4

=> 694 x 10000

=> 6,940,000

So, the answer is B

Answer:

$402

Step-by-step explanation:

Hello!

If you made 3.80 an hour and worked 40 we can multiply these to find the total amount you earned.

3.80 * 40 = 152

You also made 250 in tips so we add that to the total

152+250 = 402

The answer is $402

Hope this helps!

Answer:

Step-by-step explanation:

Given the length of the base of a square based pyramid as 12 units and the vertical height of the pyramid to be 15units, the height of one of its triangular faces can be gotten by using the pythagoras theorem.

Let the height of one of the triangular sides be s (it is also the slant height of the pyramid)

The vertical height of the pyramid to be h = 15units

The base of the right angled trangle will be half of the length of the base = 12/2 r  = 6 units

According to the pythagoras theorem; s² = h² + r²

Substituting the given values into the formula we will have;

s² = 15² + 6²

s² = 225 + 36

s = 261

s = 16.16 units

s ≈ 16units (to the nearest tenth)

Hence the length of the height of one of the triangular faces is 16units

Answer:

16.2 units

Step-by-step explanation:

Answer:

134

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

x = 1/2 ( m DH + m BC)

x = 1/2 (144+ 124)

x = 1/2 ( 268)

x = 134

Answer:

C) 3x - 4y = 7

Step-by-step explanation:

The midpoint of AB is

M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)

Line AB has slope:

(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3

Slopes of perpendicular lines are negative reciprocals.

A perpendicular to line AB has slope 3/4.

The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]

[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]

[tex] 4y + 4 = 3(x - 1) [/tex]

[tex]4y + 4 = 3x - 3[/tex]

[tex]3x - 4y = 7[/tex]

Answer:

C

Step-by-step explanation:

Segment joining a and b

m = 8/(-6) =-4/3

For that of the perpendicular bisector...

m = 3/4

Midpoint of Segment joining a and b

([-2+4]/2 , [3-5]/2)

=(1, -1)

y=mx+c

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

c= -7/4

y=3x/4 - 7/4

4y=3x - 7

3x-4y = 7

Answer:

[tex](a+2b^{2} )(a-2b^2)[/tex]

Step-by-step explanation:

You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

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

So,

[tex]a^2-(2b^2)^2[/tex]

you can work the equation backward now and you will get your original equation.

Answer:

2-3/8  =  2.375

2-2/5  =  2.4

2.4 - 2.375  =  0.025

Your friend's skateboard ramp is 0.025 foot higher

than your skateboard ramp is.

That's about  1.1%  higher . . . 0.3 inch, or about  7.62 milometers.

Answer:

2(10) is implied multiplication

Step-by-step explanation:

( 18+2) + 2(10) ÷4 -2

PEMDAS

Parentheses first

( 20) + 2(10) ÷4 -2

Then exponents ( we have none)

Then multiply and divide from left to right

20 + 20÷4 -2

20 + 5-2

Then add and subtract from left to right

25 -2

23

2(10) is implied multiplication

Answer:

23

Step-by-step equation

(18+2)+2(10)÷4-2

20+20÷4-2

20+5-2

25-2

23

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Answer:

-1

Step-by-step explanation:

2(3х – 1) > 4х – 6

Distribute

6x -2 > 4x-6

Subtract 4x from each side

6x-2-4x > 4x-6-4x

2x-2 > -6

Add 2 to each side

2x-2+2> -6+2

2x> -4

Divide by 2

2x/2 > -4/2

x > -2

The number is greater than -2

The only number that is greater than -2 is -1

Answer:

(0,2)

Step-by-step explanation:

So C

The correct option is option C: [0,2] contains the local maximum.

Local maximum is the relative maximum point where it is maximum within the neighborhood of that point.

From the graph shown in the picture, it is clear that,

the curved line touches the x axis at the point R(-2.5, 0), O(0, 0), and Q(3, 0).

similarly, the curved line touches the y-axis at O(0,0).

the graph has local minima at P(-0.8,-2.8) and Q(3, 0).

So the graph is below the x-axis between the point (-2.5, 0), (0, 0).

the graph has local maxima at S(1.55,10.8).

So the graph is above the x-axis between the point (0, 0), and (3, 0).

so the local maximum occurs at S(1.55,10.8).

From the option, it is clear that the point  (1.55,10.8) lies in the interval [0,2].

Therefore [0,2] contains the local maximum.

Learn more about local maximum

here: https://brainly.com/question/2193816

#SPJ2

Answer:

[tex]\huge \boxed{-11}[/tex]

Step-by-step explanation:

[tex](-3)+(-8)[/tex]

[tex]\sf Factor \ negative \ sign.[/tex]

[tex]-(3+8)[/tex]

[tex]\sf Add.[/tex]

[tex]-(11)[/tex]

Step-by-step explanation:

[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]

Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

Answer:

4 inch

Step-by-step explanation:

given that the ratio of the floor plan with that of the actual measurement =

                                                                 1 inch : 2 feet....................(1)

so we have to find the length of the house on the floor plan if the actual measurement is 8 feet.

using eq (1), we can say that the length on the floor plan will be half of the actual length.

therefore if the actual length of the house is 8 feet, then

                           length of the house on the floor plan = 8/2

                                                                                          = 4 inch

Answer:

We need 4 inches

Step-by-step explanation:

We can use ratios to solve

1 in             x inches

----------  = -------------

2 ft             8 ft

Using cross products

1  * 8 = 2 x

Divide each side by 2

8 /2 = 2x/2

4 = x

We need 4 inches

Answer:

Step-by-step explanation:

Hello,

[tex]2n^2+n-4=0\\\\\Delta=b^2-4ac=1^2-4*2*(-4)=1+32=33>0[/tex]

So there are 2 distinct real solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]\huge\boxed{111}[/tex]

Step-by-step explanation:

Use PEMDAS:

[tex](4*3)*5+15+6^2\\\\\rightarrow 4 * 3 = 12\\\\12 * 5 + 15 +6^2\\\\\rightarrow 6^2=36\\\\12*5+15+36\\\\60+15+36\\\\75+36\\\\\boxed{111}\\\\\text{Hope this helps!}[/tex]

EasyAnswer:

Step-by-step explanation:

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

Answer:

f(x) = 8(1/2)^x.

Step-by-step explanation:

According to the graph, there is a point at (0, 8) and (1, 4).

That means that when x = 0, y = 8.

8 = a(b)^0

1a = 8

a = 8

That means that a = 8, and when x = 1, y = 4.

4 = 8(b)^1

4 = 8b

8b = 4

b = 4/8

b = 1/2

So, f(x) = 8(1/2)^x.

Hope this helps!

Answer: C: $98*(0.06 + 0.18)

Step-by-step explanation:

Always when we have a percentage X% of charge of an amount of money, suppose $100.

The actual cost will be:

(x)*$100 = C.

Where x is the decimal representation of X%:

x = (X%/100%)

In this case, we have two additional charges:

One of 18% and another of 6%.

First we can write them in decimal form:

18%/100% = 0.18

6%/100% = 0.06.

If the price without tax is $98, then the price with the charges will be:

P = (0.18 + 0.06)*$98

The correct option is C.

Answer:

The answer is C hope this helps!

Step-by-step explanation:

Answer:

2.222.........

Step-by-step explanation:

10 : 90

x : 20

cross multiply

10 x 20 =  90x

200 = 90x

both divide by 90

x = 2.2222.......

You can pick one or the other to have as your answer

===========================

Explanation:

The formula you use is

A = pi*r^2

The radius is r = d/2 = 10/2 = 5

So,

A = pi*r^2 = pi*5^2 = pi*25 = 25pi

is the exact area

Replace pi with 3.14 to get 25*pi = 25*3.14 = 78.5

which is the approximate area

To get a better approximation, you would use more decimal digits of pi.

Answer:

When using ANOVA, the sum of squares within is:  Showing the difference between the Total SS and Between SS known as Error variance

Step-by-step explanation:

Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares

with the given degrees of freedom.

Within SS = Total SS - Between SS

Where

Total SS= ∑∑X²- C. F

Between SS= ∑T²j/r - C.F

Correction Factor = CF = Tj²/n

So the correct answer would be

Showing the difference between the Total SS and Between SS also known as   Error variance.