A rectangular park is 6x + 2 ft long and
3x + 7 ft wide. In the middle of the park is
a square turtle pond that is 8 ft wide. What
expression represents the area of the park not
occupied by the turtle pond?

Complete the table for the function y = 0.1^x

The first step: plug values from the left column into the ‘x’ spot in the formula y=0.1^x.

* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).

* 0.1^-1 = 1/0.1 = 10

* 0.1^0 = 1 : (Remember this rule: a^0 = 1)

* 0.1^1 = 0.1

Our list of values: 100, 10, 1, 0.1

Now, we can plug these values into your table:

[tex]\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right][/tex]

The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]

I hope this helped!

Step-by-step explanation:

The equation will form a circle because it in the form of

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

First, let set the equation equal.

[tex](x - 7) {}^{2} + (y + 5) {}^{2} = 25[/tex]

Here the center will be (7,-5), and the radius of 5. The boundary line will be dashed

Since this is in the inequalities, we must find the solution set.

Plug in 0,0 for x and y and see if it's true.

[tex](0 - 7) {}^{2} + (0 + 5) {}^{2} > 25[/tex]

[tex]49 + 25 > 25[/tex]

[tex]74 > 25[/tex]

This is a true so we shade the region that includes 0,0

Since 0,0 has a greater distance from the center of the circle, 0,0 is outside of the circle, so our solution set will

be outside of circle.

Here a picture of graph,

Answer:

14x^ 3 +2x^ 2 -7x-1

Step-by-step explanation:

May! It is helpful for you...

Answer:

The New deal helped the economy during the great depression

7

Step-by-step explanation:

90 degree angle so 90 - 55 = 35

5x= 35

5*7=35

Answer:

B

Step-by-step explanation:

The 2 angles sum to make the right angle , that is

5x + 55 = 90 ( subtract 55 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7 → B

Answer:

Yes, BC || DE

Step-by-step explanation:

set up proportion and cross multiply to solve:

15/10 = 12/8

120 = 120

This is true! You can justify by explaining how you cross multiplied like the bold words above :)

Answer:

c that is the answer because I took the quiz and it was right hope this helped if I'm wrong sorry

Answer:

(23 times 1/3) -5  = 2 2/3

Step-by-step explanation:

Answer: B. 144

Step-by-step explanation: It's 144 because if you multiply 14 x 24 you get 336 and then you multiply 8 x 24 and you get 192. Now you subtract 336 - 192 and you get 144.

Have a great day!!!

Answer:

Solution,

⇒Total students in class A=40

⇒Class B=5%

Now,

5% of 40 students

→5/100 × 40=2 students

Again,

→Number of students in class B =40 students + 2 students

                                                    =42 students

Hence, there were 42 students in class B.

Step-by-step explanation:

There are 42 students in class B which is more than 5% of the number of students in class A.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

In Class A,

there are 40 students in total.

For class B,

we have a condition that there are 5% more students in class B.

Let n be the students in class B.

So, applying the percentage formula,

we get,

n = 40 + 40 x 5 /100

n = 40 + 200/100

n = 40 + 2

n = 42.

Therefore, the number of students in class B = 42.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

You can use the factored form of the quadratic polynomial and then find the simplified sum.

The numerator of the simplified sum of the given expression is [tex]4x + 6[/tex]

Quadratic polynomial with single variables are expressible in the form

[tex]ax^2 + bx + c[/tex] where x is the variable and a,b,c are constants.

Its factored form is

[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]

The given expression is

[tex]\dfrac{x}{x^2 + 3x + 2} + \dfrac{3}{x + 1}[/tex]

Factorizing [tex]x^2 + 3x +2[/tex] using the aforesaid method, as we have got

a = 1, b = 3, c = 2,

thus, we have

[tex]ax^2 + bx + c = \dfrac{1}{4a^2} \times (2ax + b-\sqrt{b^2 - 4ac})(2ax +b + \sqrt{b^2 - 4ac})\\\\\begin{aligned}x^2 + 3x + 2 &= \dfrac{1}{4}(2x + 3 - \sqrt{9-8})(2x + 3 + \sqrt{9-8})\\\\&= \dfrac{1}{2}(2x+2) \times \dfrac{1}{2}(2x+4)\\&= (x+2)(x+1)\end{aligned}[/tex]

Thus, the given sum is

[tex]\begin{aligned}\dfrac{x}{x^2 + 3x + 2} + \dfrac{3}{x + 1} &= \dfrac{x}{(x+2)(x+1)} + \dfrac{3}{x + 1} \times \dfrac{(x+2)}{(x+2)}\\\\&= \dfrac{x + 3(x+2)}{(x+1)(x+2)} \\&= \dfrac{4x + 6}{(x+1)(x+2)}\\\end{aligned}[/tex]

Thus, the numerator of the simplified sum is [tex]4x + 6[/tex]

Learn more about fractions here:

https://brainly.com/question/14261303

Answer:

4x+6

Step-by-step explanation:

C on edge 2022

Answer:

a-50 b-300

Step-by-step explanation:

Answer:

[tex]\displaystyle d = 6[/tex]

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-7, 1)

Point (-7, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer:

3 with leftover of 5

Step-by-step explanation:

please give brainliest

Answer:

E. The thousandths place

Step-by-step explanation:

321 is hundreds

654 is thousands

987 is millions

Your answer would be E.

Answer:

23

Step-by-step explanation:

34=x+(x-12)

Answer:

18

Step-by-step explanation:

    Volume of triangular prism = area of the base x height

⇒                                           81 = area of base x 4.5

⇒                         area of base = 81 ÷ 4.5 = 18 in²

Answer:

18

Step-by-step explanation:

Answer:

Look below for answer! Have a great day and please mark me brainliest!

Step-by-step explanation:

Bedroom 1: 22x15=330

330x7.25=2392.5

Bedroom 2: 15x12=180

180x7.25=1305

Bedroom 3: 13x12=156

156x7.25=1131

2392.5+1305+1131= 4828.5

Bedroom 1:  22x15=330

330x6.75=2227.5

Bedroom 2: 15x12=180

180x6.75=1215

Bedroom 3: 13x12=156

156x6.75=1053

2227.5+1215+1053+100= 4595.5

Therefore, 6.75 per square foot plus a $100 fixed installation fee would be the cheapest.

Answer:

7/12

Step-by-step explanation:

7/6x 1/2

7/12

Whenever dividing w/ fractions, always flip number being divided.

Answer:

Could you write the problem right? I don't get it tell me when it right and i can factor it.

Step-by-step explanation:

A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.

The completely factored form of Louise polynomial equation is,

[tex]2[(4x^2+5)(x +3) ][/tex]

Thus the option 3 is the correct option.

A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.

Here, n is any real number.

Given information-

The given polynomial equation in the problem is,

[tex]8x^3 +24x^2 +10x+ 30[/tex]

The given polynomial has the highest power of variable is three. Thus it is a trinomial equation.

Louise then took out the common number 2 from the equation as,

[tex]2[4x^3 +12x^2 +5x+ 15][/tex]

In the third step took out the common number to make the groups as,

[tex]2[4x^2(x +3) +5(x+ 3)][/tex]

Simplify the equation further to get the factors,

[tex]2[(4x^2+5)(x +3) ][/tex]

Hence the completely factored form of Louise polynomial equation is,

[tex]2[(4x^2+5)(x +3) ][/tex]

Thus the option 3 is the correct option.

Learn more about the polynomial equation here;

https://brainly.com/question/2833285

Answer:

A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.

The completely factored form of Louise polynomial equation is,

Thus the option 3 is the correct option.

What is polynomial equation?

A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.

Here, n is any real number.

Given information-

The given polynomial equation in the problem is,

The given polynomial has the highest power of variable is three. Thus it is a trinomial equation.

Louise then took out the common number 2 from the equation as,

In the third step took out the common number to make the groups as,

Simplify the equation further to get the factors,

Hence the completely factored form of Louise polynomial equation is,

Thus the option 3 is the correct option.

Learn more about the polynomial equation here;

brainly.com/question/2833285

Step-by-step explanation:

Answer:

510 words

Hence in 10 minutes , 1533×10=510 153 3 × 10 = 510 words can be typed.

Answer:

Ben can type 510 words in 10 minutes

Step-by-step explanation:

Divide 153 by 3 and you will get 51. Then you are going to multiply 51 by 10 and you get 510. And that will be your answer.

Hope this helps<3

Answer:

2,003,160

Step-by-step explanation:

We can see the key word greater and know to add.

If someone mixes 36 liters of orange juice and 45 liters of soda water, how many batches would they make?

1,620,757 + 382,403 = 2,003,160

Answer:

$3!

Step-by-step explanation:

15/100 x 20 = 3

Answer: $3

Step-by-step explanation:

Multiply 20 by .15 (to resemble 15%) and the answer you get is 3

Hope this helped

Answer:

22%

Step-by-step explanation:

22-18=4

4÷18=22

22×100=22%

880, theres no change in between, only after every 13 years

Answer:

880?

Step-by-step explanation:

220X2= 440

440X2= 880

Answer:

9.4395

Step-by-step explanation:

5% of 8.99= 0.4495

cost of lip gloss8.99

$8.99+$0.4495=$9.4395

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Hypotenuse² = base² + altitude²

                      = 9² + 10²

                      = 81 + 100

                      = 181

hypotenuse = √181