The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3

Answers

Answer 1

Hello,

Answer B : -0.8=-0.8

[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]

Answer 2

The last line of the justification is –0.8 = –0.8

Solving equations

Given the following equation

1.4n + 2 = 2n + 3.2.

Collect the like terms

1.4n - 2n = 3.2 - 2

Substitute n = -2 into the expression

1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8

Hence the last line of the justification is –0.8 = –0.8

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Related Questions

Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median

Answers

Answer:

mean

Step-by-step explanation:

The mean is the center of a normal distribution

8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸​

Answers

Answer: B:2^16

Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536

[tex]\boxed{\huge\text{Hey there!}}[/tex]

[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]

[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]

[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]

[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]

[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]

[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer: 133,827 lb/ft^3

Step-by-step explanation:

V = (4/3) (3.14)(8^3) = 133,827

Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis

Answers

Answer:

I assume that the function is:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

then:

[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]

Now we can graph this, to get the graph you can see below:

Set up the appropriate trigonometric ratio to determine the value of the safety angle.

Answers

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.

Answers

Answer:

7π + 7π + 196 ( could also be 14π + 196)

Step-by-step explanation:

14 is the length of the square. However it is also the diameter of the circle.

If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.

After finding 7π for one half a circle you do the same for the other and also get 7π

After finding the 2 half circles find the square which is 14 x 14 = 196

196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π

Can u help solve this

Answers

Answer:

2

Step-by-step explanation:

slope = rise/run

rise = difference in y

run = difference in x

slope = (8 - 2)/(3 - 0)

slope = 6/3

slope = 2

Answer:

Slope = 2

Step-by-step explanation:

Use the Slope-Formula to find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

Points: (0, 2) (3, 8) where the first point is x1 & y1 and the second point is x2 & y2.

m = (8 - 2)/(3 - 0)

m = 6/3

m = 2

The slope will be 2

Name three collinear points.

Answers

Answer: l,j,k

Step-by-step explanation:

Suppose that the function h is defined, for all real numbers, as follows.

Answers

Answer:

gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know

Answer:

see explanation

Step-by-step explanation:

h(- 3) with x = - 3, that is x ≠ 1 , then

h(- 3) = - [tex]\frac{1}{2}[/tex] (- 3) + 2 = [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{7}{2}[/tex]

h(1) with x = 1 , then

h(1) = 1

h(3) with x = 3, that is x ≠ 1 , then

h(3) = - [tex]\frac{1}{2}[/tex] (3) + 2 = - [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{1}{2}[/tex]

order the equations by the steepness of the slopes of their graphs from greatest fj least.

Answers

steepest slope: 2x+3
-3x-4
2/3x-5
flattest slope: -1/5x+2

Do these pairs of values (x and y) represent two quantities that are proportional?

X: 4, 6, 10, 14
Y: 2, 3, 5, 7

Answers

Answer:

No

Step-by-step explanation:

In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not).  It would not go through (0.0), but would go through (2, 0)

Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

can uh help me in this

Answers

Answer:

Step-by-step explanation:

b) a² - 1 + b(b - 2a) = a² -1 + b*b -  b*2a     {distributive property}

                              =a² - 1 + b² - 2ab

                               = (a² - 2ab + b² ) - 1  

                               = (a - b)² - 1²           {use identity x²-y²= (x+ y)(x -y)}

                               = (a - b + 1)(a -b +1)

b) 15 +8y + y² - 2x - x² = (y² + 8y  + 15) - x² - 2x

                                    =  (y² + 5y + 3y + 15) - x(x + 2)

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

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

Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:

Answers

Answer:

Both Ava and Finn are correct

Step-by-step explanation:

There are 4 tables and 9 pencils at each table

4 ( 9) = 36

9 * 4 = 36

Both Ava and Finn are correct

please solve this ASAP. I need this done but I can't figure it out

Answers

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU

Answers

Answer:

Yes, no verticle line passes through two graphed points

Step-by-step explanation:

A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.


If you roll a number cube 96 times, how many times would you expect to roll a prime number?

Answers

We can expect to roll a prime number 48 times.

Theoretically, when you roll a number cube all the possible numbers have the same probability, 1/6.

We know that the numbers in a number cube are {1, 2, 3, 4, 5, 6}

Of these, the primes are: 2, 3, and 5.

So half of the outcomes of a number cube are primes.

This means that, in every single roll, the probability of getting a prime number is 1/2.   (1/6 + 1/6 + 1/6 = 3/6 = 1/2)

Then for 96 rolls, we should expect to see in half of these a prime number as an outcome.

This means that we should expect to roll a prime number 96/2 = 48 times.

If you want to learn more about probability, you can read:

https://brainly.com/question/24316600

You should expect to roll a prime number 64 times.

To determine, if you roll a number cube 96 times, how many times would you expect to roll a prime number, the following calculation must be performed, knowing that the prime numbers are those that can only be divided by 1 or by themselves:  

A cube has 6 sides. Therefore, the numbers in the cube will be 1, 2, 3, 4, 5 and 6. Of these numbers, only 4 and 6 are not prime, since 4 is divisible by 2 and 6 is divisible by 2 and 3.

Therefore, 4/6 numbers are prime, that is, 66.66% of the numbers in the cube.

Therefore, if you roll a number cube 96 times, since 96 x 4/6 equals 64, you should expect to roll a prime number 64 times.

Learn more in https://brainly.com/question/23715861.

Find f(-2) for f(x) = 2(4)^x

Answers

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

Answer:

f(- 2) = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2 [tex](4)^{-2}[/tex] = 2 × [tex]\frac{1}{4^2}[/tex] = 2 × [tex]\frac{1}{16}[/tex] = [tex]\frac{2}{16}[/tex] = [tex]\frac{1}{8}[/tex]

Hi guys. Please help me here. The math problem is kinda tricky.
Thank you to anyone who tried:)​

Answers

Answer:

12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo

HURRY PLEASE

1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.

Answers

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

Can somebody please help me?

Answers

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60

the difference of two numbers is 24.if the smaller number is 38,find the greater one​

Answers

Answer:

62

Step-by-step explanation:

add 24 to the smaller number to get the greater one

Answer:

62

Step-by-step explanation:

let, the greater number be 'x' and smaller number be 'y'

x-y=24 i.e. x-38=24

or, X=24+38

X= 62

Instructions: Find the missing side of the triangle.
12
16
X
х
=

Answers

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20

If SP = Rs 100 and CP = Rs 800 find profit %. ​

Answers

Answer:

c

Step-by-step explanation:

Please help me!!!!!
What are the answers

Answers

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x


(a) The radius of a circle is 5.6 cm. Find the angle in degrees subtended by an arc of 22 cm at the
centre of the circle.



DO NO A PLEASE​

Answers

Answer:

225 degrees

Step-by-step explanation:

Given the following data;

Radius, r = 5.6 cmLength of arc = 22 cm

To find the angle in degrees subtended by an arc;

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

S is the length of the arc.A is the angle measured in radians.

Substituting the values into the formula, we have;

22 = 5.6 * A

[tex] A = \frac {22}{5.6} [/tex]

A = 3.9286 radians.

Next, we would convert the value of the angle in radians to degrees;

Conversion:

[tex] 1 \; radian = \frac {180}{\pi} \; degrees [/tex]

[tex] 3.9286 \; radians = X \; degrees [/tex]

Cross-multiplying, we have;

[tex] X = \frac {180}{\frac {22}{7}} * 3.9286 [/tex]

[tex] X = \frac {180 * 7}{22} * 3.9286 [/tex]

[tex] X = \frac {1260}{22} * 3.9286 [/tex]

[tex] X = 57.2727 * 3.9286 [/tex]

X = 225.0015 ≈ 225 degrees

1. Find(x) + g(x)
4 options to pick from

Answers

It’s either b or c but I would go for b

Find a recursive rule for the nth term of the sequence.

-7, -42, -252, -1512, ...

Answers

Answer:

-7*6^n

Step-by-step explanation:

The sequence is -7*6^n.

A few examples of this are the following,

ex.)

-7*6^0 = -7

-7*6^1 = -42

-7*6^2 = -252

Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?

Answers

Step-by-step explanation:

1+6k=25

collect like terms

1-25=6k

-24=6k

divide both sides by 6

-4=k

;- k= -4

can someone help pls ? :]]

Answers

Answer:

1st option, p and q are both negated

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