What is the 10th term in the increasing pattern shown?

1, 1, 2, 3, 5, 8, 13

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

[tex]\frac{2y}{2} = \frac{56}{2}[/tex]

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.

[tex]P=2(a+b)[/tex]

Here, (l) is the length and (w) is the width of the rectangle.

John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide.  The fence is to be 15 feet from the edge of the pool from all the sides.

Thus, add 15 two times in length and width for both side of pool.  The length of the fence is,

[tex]l=23+15+15\\l=53[/tex]

The width of the fence is,

[tex]l=22+15+15\\l=52[/tex]

The perimeter of the fence is,

[tex]P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft[/tex]

Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

Learn more about the perimeter of plane here;

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Answer:

Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV

Hope it helps.

Hey there!

13/4(2x + 3/4)

= 13/4(2x) + 13/4(2x)

= 13/2x + 39/16

≈ 6 1/2x + 2 7/16

Therefore, your answer is:
13/2x + 39/16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

126 in^2

Step-by-step explanation:

A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]

Answer:

It did not attach correctly try again and ill answer

Step-by-step explanation:

Post the attach picture or whatever goes with it

Answer:

...............................................................................................5x4

Answer: 12

Step-by-step explanation:

Juice 4 multiplied by Dessert 3

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

[tex]p^4 - 16[/tex]

Let the factor form of the polynomial is f(p). Thus,

[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]

Using the formula of difference of squares, we get,

[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

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Answer:

D Edge 2022

Step-by-step explanation:

After the hurricane and the disease, 48% of the original population of rats is left.

We have,

After the hurricane, 40% of the rats were wiped out, which means

100% - 40% = 60% of the rats survived.

Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.

This means 100% - 20% = 80% of the rats that survived the hurricane are still left.

To find the percentage of the original population of rats that is left after both events, we multiply the percentages:

Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48

Finally, we convert the decimal value back to a percentage:

Percentage left = 0.48 * 100% = 48%

Therefore,

After the hurricane and the disease, 48% of the original population of rats is left.

Learn more about percentages here:

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Answer:

Choose one

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.

Pythagorean Theorem : a^2+b^2=c^2

But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.

20^2 + b^2 = 29^2

400 + b^2 = 841

Subtract 400 from both sides to get b^2 alone

-400            -400

b^2 = 441

Square root of each side to get b by itself

b = 21

This means the missing side is 21. Also meaning 21 is x.

x = 21

My method is a little bit different, but I hope it helps..

Total angle=103°+103°=206°

Total area=π×17×17=289π≈368.1

Area of shaded region=(206/360)×368.1

=210.6 sq. meter

Answer: [tex]D=13.8[/tex]

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

[tex]D=\frac{c}{\pi }[/tex]

[tex]D= \frac{43.332}{3.14}[/tex]

[tex]D=13.8[/tex]

Answer:

21

Step-by-step explanation:

We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.

If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.

25/3 = 8.33

21/3 = 7

23/3 = 7.667

26/3 = 8.667

Answer:

-8,0

Step-by-step explanation:

From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

Answer:

(24y^3x-20y^5x^2)/(-3y^5x^2)

= y^3x(24-20y^2x))/(-3y^5x^2)

=(24-20y^2x)/(-3y^2x)

=(24/(-3y^2x))-((20y^2x)/(-3y^2x))

=(-8/y^2x)-(-20/3)

=-8/y^2x + 20/3

Answer:

Step-by-step explanation:

6÷ 1/9 = 6/1 × 9/1 = 54

Answer:

A. x = 12

Step-by-step explanation:

By inscribed angle theorem:

[tex](9x + 2) \degree= \frac{1}{2} [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= \frac{108}{9} \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}[/tex]

Take 2 coordinates

Slope'-

Equation in point slope form

Answer:

[tex]y=\dfrac67x-\dfrac67[/tex]

Step-by-step explanation:

From inspection of the graph, we have been given two points on the line:

[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]

Therefore:

[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the values of m and (x₁, y₁):

[tex]\implies y-0=\dfrac67(x-1)[/tex]

[tex]\implies y=\dfrac67x-\dfrac67[/tex]

Therefore, the equation of the line in slope-intercept form is:

[tex]y=\dfrac67x-\dfrac67[/tex]

Answer:

% of students who are female or have green eyes: 51% or 45/88

% of students who are males without green eyes: 49% or 43/88

The sum of these two percentages: 100%

Step-by-step explanation:

Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.

For the first part:

Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%

For the second part:

Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%

Answer:

D. 7/8

Step-by-step explanation:

Answer:

D. 7/8. (has to be twenty characters long so here are some words )

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation:

Using the formula for population density, it is found that the approximate area of Puerto Rico is of 3980 square miles.

It is given by the number of habitants divided by the area, that is:

[tex]D = \frac{H}{A}[/tex]

In this problem, we have that:

Hence:

[tex]D = \frac{H}{A}[/tex]

[tex]10^3 = \frac{3.98 \times 10^6}{A}[/tex]

[tex]A = \frac{3.98 \times 10^6}{10^3}[/tex]

A = 3980.

The approximate area of Puerto Rico is of 3980 square miles.

More can be learned about population density at https://brainly.com/question/26148357

Answer:

x = 60 degree

Step-by-step explanation:

x = 60 degree (being alternate angles )

Answer:

x = 60

Step-by-step explanation:

When two parallel lines are intersected by a transveral, the alternate interior angles are congruents.

x = 60

Step-by-step explanation:

a.

[tex]y = |x - 1| + 2[/tex]

b.

[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]