Lisa writes the following list of numbers.
5.737737773..., 26,45 squared 0,9
Question 1.
a. Which numbers are rational?

Question 2
b. Which numbers are irrational?

Answer:

[tex]12x^{2} +14x+4[/tex]

Step-by-step explanation:

3x *4x = [tex]12x^{2}[/tex]

[tex]3x+4x*2=14x[/tex]

2 + 2 = 4

[tex]12x^{2} +14x+4[/tex]

[tex]\bf \begin{array}{ll} \stackrel{term}{n}&\stackrel{-6+(n-1)\frac{1}{5}}{value}\\ \cline{1-2} 1&-6+(1-1)\frac{1}{5}\\ &-6+0\\[1em] &-6\\[1em] 4&-6+(4-1)\frac{1}{5}\\ &-6+\frac{3}{5}\\[1em] &\frac{-27}{5}\\[1em] 10&-6+(10-1)\frac{1}{5}\\ &-6+\frac{9}{5}\\[1em] &\frac{-21}{5} \end{array}[/tex]

Answer with Step-by-step explanation:

We are given a arithmetic sequence as:

[tex]A(n)=-6+(n-1)(\dfrac{1}{5})[/tex]

We have to find the first, fourth and tenth term

First term:

n=1

[tex]A(1)=-6+(1-1)(\dfrac{1}{5})[/tex]

A(1)= -6

Fourth term:

n=4

[tex]A(4)=-6+(4-1)(\dfrac{1}{5})[/tex]

[tex]A(4)=-6+\dfrac{3}{5}[/tex]

[tex]A(4)=-\dfrac{27}{5}[/tex]

Tenth term:

n=10

[tex]A(10)=-6+(10-1)(\dfrac{1}{5})[/tex]

[tex]A(10)=-6+\dfrac{9}{5}[/tex]

[tex]A(10)=-\dfrac{21}{5}[/tex]

Check the picture below, let's use those two points on the line to get its slope.

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{2}{2}\implies 1[/tex]

Answer:

4000×.06×2 which is 480

Step-by-step explanation:

You must times the money by the ir and then the year. Or money times the year then ir, it wouldn't really matter as long you times the three of them together

Answer:

Most often people wear a helmet when riding a bike.

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-5)^2+(y+6)^2=42\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-6})]^2=(\stackrel{r}{\sqrt{42}})^2~~ \begin{cases} \stackrel{center}{(5,-6)}\\\\ \stackrel{radius}{\sqrt{42}} \end{cases}[/tex]

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex](x-5)^2+(y+6)^2=42\\\\(x-5)^2+(y-(-6))^2=42[/tex]

Therefore

[tex]h=5,\ k=-6,\ r^2=42\to r=\sqrt{42}[/tex]

For -4+2, plot -4, then move to the right 2 spaces. You should land on -2.

For -4+(-2), plot -4 then move the left 2 spaces. You should land on -6.

Answer: Make a number line. Start at 0. For -4+2 you go back 4 on a number line. Then you add 2. You will end up on -2. For -4+(-2) you start at 0. You go back 4 until you reach -4, then you go back another 2. You should end up on -6.

Answer:

12

Step-by-step explanation:

(x-1)+(y+1)+(z-1)

= x -1 + y + 1 + z - 1

= x + y + z -1

= (x + y + z) -1

given that x+y+z = 13, substitute this value into the equation aove

(x + y + z) -1

= 13 - 1

= 12

Answer:

190,080 inches

Step-by-step explanation:

Inches converted into miles. 3 miles will equal to 190080 inches according to the conversion.

Hope this helped!

Nate

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of [tex]m[/tex] and the second line has a slope of [tex]\frac{1}{-m}[/tex].

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

[tex]5x - 2y = -6[/tex]

[tex]-2y = -5x - 6[/tex]

[tex]y = \frac{5}{2}x + 3[/tex]

We now know that [tex]m = \frac{5}{2}[/tex] for the first line, which means that the slope of the second line is [tex]m = \frac{-2}{5}[/tex]. With this, we have the following equation for our new line:

[tex]y = \frac{-2}{5}x + C[/tex]

where [tex]C[/tex] is the Y-intercept that we now need to determine with the coordinates given in the problem statement, [tex](5, -4)[/tex]:

[tex]y = \frac{-2}{5}x + C[/tex]

[tex](-4) = \frac{-2}{5}(5) + C[/tex]

[tex]-4 = -2 + C[/tex]

[tex]C = -2[/tex]

Finally, we can create our line:

[tex]y = \frac{-2}{5}x - 2[/tex]

[tex]5y = -2x - 10[/tex]

[tex]2x + 5y = -10[/tex]

Answer:

a,b,d

Step-by-step explanation:

took test on edu

Answer:

.04

i think

hope that helps

Answer:  The required simplified value is 0.04.

Step-by-step explanation:  We are given to simplify the following :

[tex]E=5^{-2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property of exponents :

[tex]a^{-n}=\dfrac{1}{a^n}.[/tex]

The simplify of (i) is as follows :

[tex]E\\\\=5^{-2}\\\\=\dfrac{1}{5^2}\\\\=\dfrac{1}{25}\\\\=0.04.[/tex]

Thus, the required simplified value is 0.04.

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025. Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.

Answer:

apparently In what I believe, 401 is not a perfect square mate!

Step-by-step explanation:

401 is an odd number, because it is not evenly divisible by 2.

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025.

Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.

Answer:

+ 1 or - 1

Step-by-step explanation:

[tex]\sqrt{1}[/tex] = ± 1

Since 1 × 1 = 1 and - 1 × - 1 = 1

Answer:

28.3 that's the answer

Step-by-step explanation:

Answer:

111÷125

Step-by-step explanation:

0.888 as fraction is 888÷1000

Divide by 2 u get

444÷500 furher divide by 2

222÷250

and last divide

111÷125 and u cant change into more lower fraction so the answer is 111÷125

The required fraction of the number 0.888 is 111 / 125.

Given that,
To determine the  0.888 as a fraction, in simplest form.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Given number = 0.888
Fraction = 0.888 = 888 / 1000
Faction = 111 / 125

Thus, the required fraction of the number 0.888 is 111 / 125.

Learn more about the number system here:

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Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

Answer:

Option B) 120 miles

Step-by-step explanation:

Company charges per day for a car rent = $80

and per mile driven = $0.15

Juliet rented a car for one day and she was charged a total = $98

Let Juliet traveled x miles

$80 + $0.15x = $98

0.15x = 98 - 80

0.15x = 18

x = [tex]\frac{18}{0.15}[/tex]

x = 120 miles

Juliet was charged for 120 miles driving.

Answer:

x = - 6

Step-by-step explanation:

Reading from y = 6 on the y- axis

There are 2 points where y = 6 intersects with the graph, that is

x = - 2 and x = - 6

Answer:

12.I know that whole numbers go inside the integers circle, and that natural numbers (counting numbers) go inside the whole numbers circle. The irrational numbers circle is in its own category.]

13. It is true that 5 to the 2nd power is 25. So I guess you should just prove that it is true? The way they phrased the question was awkward.

Please mark brainliest! I would really appreciate it! :)

Answer:

[tex]\large\boxed{x^3y^3+343=(xy+7)(x^2y^2-7xy+49)}[/tex]

Step-by-step explanation:

[tex]x^3y^3=(xy)^3\\\\343=7^3\\\\x^3y^3+343=(xy)^3+7^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(xy+7)\bigg((xy)^2-(xy)(7)+7^2\bigg)=(xy+7)(x^2y^2-7xy+49)[/tex]

Answer:

Considering is a compunded increase rate of the yearly car insurance fee and x is the initial value of the insurance fee then

x×(1.05)^12=$86.82

×=$86.82/(1.05)^12

The cost of his insurance before it increased is $82.48.

Here,

The cost of Mr. Patten’s car insurance increased by 5% to $86.82 per month.

We have to find the cost of his insurance before it increased.

What is Percentage?

A percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.

Now,

The cost of Mr. Patten’s car insurance increased by 5% to $86.82 per month.

Increased cost = [tex]\frac{5}{100} * 86.82 = 4.34[/tex]

Hence, The cost of his insurance before it increased = $86.82 - $4.34

                                                                                 = $82.48

So, The cost of his insurance before it increased is $82.48.

Learn more about the percentage visit:

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Step-by-step explanation:

Hours of work- Alvin: 6 hours Theodore: 4.5 hours Simon: 1.25 hours

Answer:

Area of the walkway = 8x + 24

Step-by-step explanation:

Area of the total backyard = [tex]l\times b[/tex]

Area of total backyard = [tex](x+6)\times (x+4) = x^{2} +10x + 24[/tex]

Now, Area of the rectangular garden = [tex]l\times b[/tex]

Area of the rectangular garden = [tex]x (x+2) = x^{2} + 2x[/tex]

Now area of the walkway poured with concrete = Area of the backyard - Area of the rectangular garden

= [tex](x^{2} +10x +24) - (x^{2} +2x)[/tex]

= [tex]x^{2} + 10x +24 - x^{2} -2x[/tex]

= 8x + 24  

Answer:

Step-by-step explanation:

If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points.  Suppose we use (-4, 3) and (0, 1):  

As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2.  Hence, the slope of this lilne is m  = rise/run = -2/4, or m = -1/2.

Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:

1 = (-1/2)(0) + b, or b = 1.  Then the desired equation is y = f(x) = (-1/2)x + 1

Answer:

B

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Consider each of the given values for m and n

A

m : n = 8 : 7 ≠ 7 : 6

B

m : n = 12 : 14 = 6 : 7 ≠ 7 : 6

C

m : n = 14 : 0 ≠ 7 : 6

D

m : n = 42 : 42 = 1 : 1 ≠ 7 : 6

E

m : n = [tex]\frac{7}{3}[/tex] : 2 = [tex]\frac{7}{3}[/tex] : [tex]\frac{6}{3}[/tex] = 7 : 6

Thus E is the only true ratio

Answer:

E. m = 7/3, n = 2

Step-by-step explanation:

The correct answer

-34 is indeed a "whole number, integer, and a rational number." Whole numbers are full numbers including negatives, not including fractions, decimals, and percents. Integers are whole numbers can be negative or positive. Also rational numbers are anything that can be expressed as a fraction.

Hope this helps.

Answer:

C.  (x + 3)^2 + (y - 4)^2 = 9.

Step-by-step explanation:

The general form of a circle with center (a,b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

So substituting the given values the equation of our circle is:

(x - (-3)^2 + (y - 4)^2 = 3^2

(x + 3)^2 + (y - 4)^2 = 9.

Answer: two hundred ninety three thousand six hundred seventy one

To convert 293,671 into words, divide it into the thousands and ones part - resulting in 'two hundred ninety-three thousand, six hundred seventy-one'.

Turning a number like 293,671 into words is a simple task once you understand the place value system used in English for numbers. This process involves breaking the number down into manageable chunks and then converting each chunk into words based on their respective values.

Firstly, we recognize that 293,671 falls in the 'thousands' range, as it's more than 1,000 but less than 1 million. Therefore, we divide the number into the 'thousands' part (293) and the 'ones' part (671).

The number 293 in words is 'two hundred ninety-three', and 671 is 'six hundred seventy-one'. Combining these with the appropriate place value gives us 'two hundred ninety-three thousand, six hundred seventy-one'.

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.

Answer:

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\\\(5+3i)-(5+3i)(5-5i)\qquad\text{distribute}\\\\=(5+3i)(1-(5-5i))=(5+3i)(1-5-(-5i))=(5+3i)(-4+5i)\\\\\text{use}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5)(-4)+(5)(5i)+(3i)(-4)+(3i)(5i)\\\\=-20+25i-12i+15i^2=-20+13i+15(-1)\\\\=-20+13i-15=-35+13i[/tex]

Answer:

x=0

Step-by-step explanation: