Simplify. Multiply and remove all perfect squares from inside the square roots. Assume z is positive. z* 30z2* 35z3

Given:

The product of two consecutive numbers is 72.

To find:

The two numbers by using the quadratic equation.

Solution:

Let the two consecutive numbers are x and (x+1).

The product of two consecutive numbers is 72.

[tex]x(x+1)=72[/tex]

[tex]x^2+x-72=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x-8x-72=0[/tex]

[tex]x(x+9)-8(x+9)=0[/tex]

[tex](x+9)(x-8)=0[/tex]

Using zero product property, we get

[tex]x+9=0[/tex] and [tex]x-8=0[/tex]

[tex]x=-9[/tex] and [tex]x=8[/tex]

If [tex]x=-9[/tex], then

[tex]x+1=-9+1[/tex]

[tex]x+1=-8[/tex]

If [tex]x=8[/tex], then

[tex]x+1=8+1[/tex]

[tex]x+1=9[/tex]

Therefore, the two consecutive numbers are either 8,9 or -9,-8.

Answer:

Look below.

Step-by-step explanation:

Our goal when solving a system of equations is to reduce two equations that have two variables, down to a single equation with one variable.  

Answer:

7.2

Step-by-step explanation:

Use the distance formula:

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Points of the diagonal: (-2, -2) and (2, 4)

d = [tex]\sqrt{(2-(-2))^2+(4-(-2))^2}[/tex]

d = [tex]\sqrt{(2+2)^2+(4+2)^2}[/tex]

d = [tex]\sqrt{(4)^2+(6)^2}[/tex]

d = [tex]\sqrt{16 + 36}[/tex]

d = [tex]\sqrt{52}[/tex]

d ≈ 7.2

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

Answer:

422.5

Step-by-step explanation:

Given,

Diameter = 23.2

Radius = 23.2 ÷ 2 = 11.6

So, Area is

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 11.6 \times 11.6[/tex]

= 422.5184

As rounding to nearest tenth we check the hundreth digit i. e.

422.5184

Since, 1 is smaller than 5 so,

422. 5 (Ans) (Rounded to nearest tenth)

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

The largest perfect square that divides 350584416 is 58430736

The number is given as: 350584416

Express the number as the product of its factors

350584416 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 7 x 13 x 13

Express the numbers as exponents

350584416 = 2^5 * 3^3 * 7^4 * 13^2

Rewrite the product as:

350584416 = 2^4 *2 * 3^2 * 3 * 7^4 * 13^2

Reorder the factors

350584416 = 2^4 * 3^2 * 7^4 * 13^2  * 2 * 3

Express the product as a product of a perfect square

350584416 = (2^2 * 3 * 7^2 * 13)^2  * 2 * 3

Write out the perfect square (k)

k = (2^2 * 3 * 7^2 * 13)^2

Evaluate the product

k = (7644)^2

Evaluate the exponent

k = 58430736

Hence, the largest perfect square that divides 350584416 is 58430736

Read more about perfect squares at:

https://brainly.com/question/16450266

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

Answer:

C. 14; it raises the man by about 1.9

Step-by-step explanation:

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

Answer:

the second

Step-by-step explanation:

Answer:

You can

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.

Answer:

To tell if a table values are proportional, the x and the y value should have a common factor. When the numbers are all divided by their common factor, the points should all be equal to each other.

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

Answer:

3

Step-by-step explanation:

(6 + 2 x 6)/(15 - 11 + 2)

(6 + 12)/(4 + 2)

18/6

3

Answer:

decimal-

Step-by-step explanation:

-2.2

Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

Answer:

B

Step-by-step explanation:

[tex]x^{0} = 1\\\\\frac{x^{m}}{x^{n}}= \frac{1}{x^(n-m)}}, n >m\\\\\\\frac{6ab}{(a^{0}b^{2})^{4}}=\frac{6ab}{(1*b^{2})^{4}}\\\\=\frac{6ab}{b^{2*4}}\\\\=\frac{6ab}{b^{8}}\\\\=\frac{6a}{b^{8-1}}\\\\=\frac{6a}{b^{7}}[/tex]

The equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

The expression is given as:

6ab/(a^0b^2)^4

Evaluate the exponent of 0

6ab/(b^2)^4

Apply the law of indices, and open the bracket

6ab/b^8

Apply the law of indices

6a/b^(8-1)

Evaluate the difference

6a/b^7

Hence, the equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

Read more about equivalent expression at:

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Answer:

7/10

Step-by-step explanation:

We have  liters of gas, and we need to figure out how many cans we can fill.

Hint #22 / 4

We need to divide the 7 liters by the 10 liters that each can holds.

Answer:

7/10

Step-by-step explanation:

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

10 squared = 100

19 squared = 361

361 - 100 = 261

square root of 261 = 16.2

[tex]10^{2} + 16.2^{2} = 19^{2}[/tex] is the equation

hope this helps

Mark brainliest please

Answer:

They say.. use Pythagorean theorem formula.... what is it?  :)  you have to remember it.    I'll put it below in case you don't remember  

Step-by-step explanation:

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] +[tex]B^{2}[/tex]

and I know, you're thinking..... what's the deal with all the letters... how do I add those up? :D .....  you are right... you can't add letters... the letters are just the variables... or places holders for numbers... you can put many different numbers into each of them but... the relationship.... which is made by the equal sign.. must hold true for any numbers you put in for the variables.... sooo.. like this.. for your particular answer

[tex]19^{2}[/tex] = [tex]10^{2}[/tex] + [tex]y^{2}[/tex]  

( notice I've put in a  " y " , where there is a B in the formula above but that's just a letter... again.. which is just a variable... the place holder for a number...  soooo..... )

361 = 100 + [tex]y^{2}[/tex]        ( subtract 100 from each side of the " = "  )

261 = [tex]y^{2}[/tex]                 ( to undo the square on the wye... square root both sides)[tex]\sqrt{261}[/tex] = y  

my calculator tells me that [tex]\sqrt{261}[/tex] = 16.15549442

they say round to the nearest 10th... soooo..

16.2  is  the answer  :)

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

Answer:

3

Step-by-step explanation:

lets just take two random points that are on the line ( it doesn't have to be a specific point)

(-2,0) and (-1 , 3) cuz why not

we need to find the difference of both the y coordinates divided by the difference of both the x coordinates

0-3  /  -2  -  (-1)

-3 / -1

3/1 = 3

Answer:

choose two random points of the line and....

slope of line=3

Step-by-step explanation:

In the photo

Answer:17

Step-by-step explanation:

The time taken for her to reach the amount of $106,200 will be 17 years.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that:-

The formula for calculating the compound interest continuously.

[tex]A \ = \ P e^ {rt}[/tex]

[tex]106200\ = \ 54000e^{0.04t}\\\\\\\dfrac{106200}{54000}=e^{0.04t}\\\\\\1.97\ = \ e^{0.04t}\\\\\\Ln(1.97)=Ln(e^{0.04t})[/tex]

Ln(1.97) = 0.04t

t  =   17 years.

Therefore the time taken for her to reach the amount of $106,200 will be 17 years.

To know more about Compound interest follow

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Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)