A park in the shape of a right triangle is surrounded by three streets. The park is 120 feet along Park Street and 95 feet along Water Street. What is the area of the park?

The nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

Since term to term rule is to take away 4, thus when we go back in sequence, the rule will be to add 4 term to term.

Thus:

Second term = 4 + third term = 4 + 11 = 15

First term = 4 + second term = 15 + 4 = 19

Since the given sequence has a constant difference of -4 between each adjacent terms, thus it is an arithmetic progression with d = -4

The nth term of an arithmetic progression with difference d is given by:

[tex]T_n = T_1 + (n-1) \times d[/tex]

Since d = -4 and first term is 19, thus we have:

[tex]T_n = 19 + (n-1) \times (-4) = -4n + 23\\T_n = -4n + 23[/tex]

Thus, the nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

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The expression for the nth term of the given sequence is 23 - 4n. Starting from the third term which is 11, we find the first term and use the common difference to write the formula.

The student is dealing with a linear sequence and is asked to write an expression for the nth term of the sequence based on the term-to-term rule 'take away 4'. To find the nth term of this arithmetic sequence, we need to use the structure of arithmetic sequences, which follow the pattern a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference between terms. Because we know that the third term is 11, we can backtrack to find the first term by adding 4 twice (since we have been taking 4 away to move forward in the sequence). Therefore, the first term a_1 is 11 + 4 + 4 = 19. Given the common difference is -4 (since we are taking away 4 each time), our nth term expression is a_n = 19 + (n - 1)(-4) or simplified a_n = 23 - 4n.

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Area = πr^2

Circumference = 2πr

Blue:

Area = 5^2 = 25π

Circumference = 2 * 5 * π = 10π

Pink:

Area = 6^2 = 36π

Circumference = 2 *6*π = 12π

White:

r = 3

Area = 3^2 = 9π

Circumference = 2 *3 = 6π

Red:

Area = 7^2 = 49π

Circumference = 2 *7 = 14π

Blue: Area - 25

Circumference - 10

Pink: Area - 36

Circumference - 12

White: Area - 9

Circumference - 6

Red: Area - 49

Circumference - 14

Hope it helped

Answer:

A 8+9+(-3)+4+21 is positive

C  2+16+9-5)+(-3) is also positive

Step-by-step explanation:

The sequence of four plays that the team keeps the ball is,

A. 8, -3, 4, 21.

C. 2, 16, -5, -3.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, If they don't gain at least ten yards, the other team gets the ball.

Therefore, the sequences of four plays that result in the team getting to keep the ball should be more than 10 yards when we take the sum of the sequences.

So, 8 - 3 + 4 + 21 = 30 yards.

30 - 7 - 8 - 12 = 3 yards.

2 + 16 - 5 - 3 = 10 yards.

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the coefficient is the number before x

in this case the coefficient is -1.

Answer:

21

Step-by-step explanation:

To evaluate, substitute w = 6 into the expression, that is

15 + w = 15 + 6 = 21

Answer:

(2,-4)

Step-by-step explanation:

it is a minimum because as you can see the lowest is at the point of (2,-4)

Answer:

(2,-4)

Step-by-step explanation:

Answer:

1/5^9

Step-by-step explanation:

X^n / X^m = (X)^n-m

5^(-6-3)

5^-9

1/5^9

Best regards

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we have the following expression:

[tex]\frac {5 ^ {- 6}} {5 ^ 3}[/tex]

It can be rewritten as:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3}[/tex]

By definition of power properties we have:

[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]

So:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}[/tex]

Answer:

Option A

Final answer:

For every 5 orange fish in the fish tank, there are 4 blue fish since the number of orange fish is 1 1/4 times the number of blue fish.

Explanation:

In the fish tank scenario where the number of orange fish is 1 1/4 times the number of blue fish, for every 5 orange fish, we need to determine the corresponding number of blue fish. To find this, we can set up a ratio where the number of blue fish (let's call it B) multiplied by 1 1/4 must equal 5 (since 1 1/4 times B is the number of orange fish). So, B * 1 1/4 = 5. This equation can be simplified to B * 5/4 = 5, and by further simplification, we find B = 5 / (5/4) which is equal to B = 4. Therefore, for every 5 orange fish, there would be 4 blue fish in the tank. Hence, if you drag blue fish to represent the number of blue fish, there should be 4 of them for every 5 orange fish.

Answer:

Horizontal axis

Step-by-step explanation:

we know that

In a line graph, vertical axis usually represented the dependent variable and   horizontal axis usually represented the independent variable. The time is usually represented in the horizontal axis because is a independent variable

Answer:

Horazontal Axis

the answer is Zero

four minus four equals zero

Change the fractions to have like denominators. 16/4 - 12/3 is the same as 48/12 - 48/12 which equals 0. You could also simplify the original fractions and then subtract. 16/4 is 4 and 12/3 is 4 → 4 - 4 = 0

Answer:

[tex]\large\boxed{x=\pm5i}[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\==========================\\\\x^2+25=0\qquad\text{subtract 25 from both sides}\\\\x^2=-25\to x=\pm\sqrt{-25}\\\\x=\pm\sqrt{(-1)(25)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\pm\sqrt{-1}\cdot\sqrt{25}\\\\x=\pm i\cdot5\\\\x=\pm5i[/tex]

Answer: Answer is D

answer:-

c)12

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Answer:

The answer is D

Step-by-step explanation:

We know that a triangle adds up to 180 degrees.

Solve for x:

Combine like terms.

2x + 3x - 10 + 50 = 180

Subtract 40 on both sides.

5x + 40 = 180

      -40    -40

Divide both sides by 5.

5x = 140

----    ----

5        5

And you get a solution of:

x = 28

Check:

Substitute 28 into x and multiply 28 by the number outside of the parentheses.

2(28) + 3(28) - 10 + 50 = 180

Add/Subtract from left to right.

56 + 84 - 10 + 50 = 180

Add them together.

140 + 40 = 180

And you get 180!

180 = 180

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × [tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

Mathhhh

Answer:

D: 8

Step-by-step explanation:

8x+5=bx-7

Subtract bx from each side

8x-bx+5=bx-bx-7

8x-bx +5 = 7

Subtract 5 from each side

8x-bx +5-5 = 7-5

8x-bx =2

Factor out the x

(8-b)x =2

When 8-b =0  we have

0=2  which means we have no solutions since this is never true

8-b=0

Add b to each side

8-b+b=0+b

8=b

Final answer:

For the equation 8x + 5 = bx - 7 to have no solution, the value of b must be  d. 8, which results in parallel lines if graphed and signifies an inconsistent equation.

Explanation:

The student has presented the equation 8x + 5 = bx - 7. To find for what value of b the equation has no solutions, we need to compare the coefficients on both sides of the equation because the variables must match for the equation to have a solution. When the coefficients of 'x' are equal, but the constants are different, the equation has no solution. In other words, the equation will be inconsistent, resulting in parallel lines if graphed.

Likewise, if b equals 8, the equation becomes 8x + 5 = 8x - 7. Subtracting 8x from both sides results in an equation 5 = -7, which is a contradiction and hence the equation has no solution. This means the correct answer is Choice D: 8.

Answer:

x = 6, y = -1.

Step-by-step explanation:

7x = 3y + 45

4x + 5y = 19.... (1)  

Rearranging the first equation:

7x - 3y = 45-----(2)

Multiply equation (1) by  3 and equation (2) by 5:

12x + 15y = 57

35x - 15y =  225

Adding :

47x  + 0 = 282

x = 282 / 47 = 6.

To find the value of y  substitute x = 6 into equation (2):

7(6) -3y = 45

-3y = 45 - 42 = 3

y = 3/-3 = -1.

Answer:

x = 6 and y = -1

Step-by-step explanation:

It is given two equations,

7x = 3y + 45

⇒ 7x - 3y = 45    -------(1)

4x + 5y=19

⇒  4x + 5y = 19    --------(2)

To solve these equations

eq (1) * 4  ⇒   28x - 12y =180  ----(3)

eq (2) * 7 ⇒    28x + 35y = 133   ----(4)

eq(3) - eq(4) ⇒   0x - 47y = 47

y = -47/47 = -1

eq(1) ⇒ = 7x - 3*-1 = 45

7x + 3 = 45

7x = 45 - 3 = 42

x = 42/7 = 6

Therefore x = 6 and y = -1

Answer:

1/12 or 1/6

Step-by-step explanation:

I need a multiple choice to help but if you get 2 attempts it one of these answers.

1/6 or 1/12

Step-by-step explanation: i cannot help you i need a visual representation

Answer:

Infinitely many solutions: [tex]-5x+9y=2[/tex]

One solution: [tex]-10x+5y=4[/tex]

No solution: [tex]-10x+18y=5[/tex]

Step-by-step explanation:

 Solve for y from each equation to obtain the equation of the line in slope-intercept form:

[tex]y=mx+b[/tex]

m: slope

b: y-intercept

EQUATION ON THE TOP:

[tex]-10x+18y=4\\\\y=\frac{5}{9}x+\frac{2}{9}[/tex]

Equation 1:

[tex]5y=10x+4\\\\y=2x+\frac{4}{5}[/tex]

The equation on top and the equation equation 1 has different slopes and different y-intercept, therefore the system will have one solution.

Equation 2:

 [tex]9y=5x+2\\\\y=\frac{5}{9}x+\frac{2}{9}[/tex]

The equation on top and the equation equation 2 are the same, therefore, the system will have infinitely many solutions.

Equation 3:

[tex]18y=10x+5\\\\y=\frac{5}{9}x+\frac{5}{18}[/tex]

The slopes are equal, then both lines will be parallels, therefpre  the system will have no solution.

To form a system with infinite, one or no solutions, a second equation is chosen to be identical or a multiple, have different coefficients, or the same slope but different constants relative to the first equation, respectively.

To address the student's question about creating a system of equations with either infinitely many solutions, one solution, or no solutions, it is important to understand the properties of linear equations. When two equations are combined to form a system, the number of solutions is determined by their graphs on a coordinate plane. Three scenarios are possible:

To create a system with a known outcome, one must write a second equation with either the same coefficients and constant term (for infinitely many solutions), different coefficients (for one solution), or the same coefficients but a different constant term (for no solutions).

For example, if the given equation is y = 2x + 3, an equation for infinitely many solutions could be 2y = 4x + 6, for one solution y = -x + 1, and for no solutions y = 2x + 5.

Answer:

An angle showing a turn through 1/8 of a circle is smaller

Step-by-step explanation:

we know that

A complete circle represent 360°

so

An angle showing a turn through 1/8 of a circle is

[tex](360\°)*(\frac{1}{8})=45\°[/tex]

An angle showing a turn through 1/3 of a circle is

[tex](360\°)*(\frac{1}{3})=120\°[/tex]

therefore

An angle showing a turn through 1/8 of a circle is smaller

Answer:

1/8 is smaller because it equals 45 degrees

1/3 is bigger because it equals 120 degees

X, Division symbol, +, -.

Answer:

=, +, or -

Step-by-step explanation:

You can have 3y + 5y. Or 3y - 5y. Or 3y=5y.

Answer:

3 pi

Step-by-step explanation:

The length of the arc AB is equal to the circumference times the fraction of the circle

AB = 2*pi*r * (degrees/360)

AB = 2 * pi* (27) * (20/360)

    = 54 * pi * (1/18)

    = 3 pi

We are asked to leave the answer in terms of pi

Actually, the answer should be 1/9 π. To convert from degrees to radians, you use the conversion π/180°. This is what you do: 20°/1 times π/180°. This let's you cancel out the degrees so you are left in terms of pi. That gets you 20π/180 which simplifies to 1/9 π or 0.11π if you need it as a rounded decimal.

Answer:

Step-by-step explanation:

Convert the equation to the slope-intercept form (y = mx + b):

[tex]2x+5y=-10[/tex]        subtract 2x from both sides

[tex]5y=-2x-10[/tex]       divide both sides by 5

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

Put x = 0 to the equation of a line:

[tex]y=-\dfrac{2}{5}(0)-2=-0-2=-2\to(0,\ -2)[/tex]

The lines c and d passes through that's point.

Put x = 5 to the equation of a line:

[tex]y=-\dfrac{2}{5}(5)-2=-2-2=-4\to(5,\ -4)[/tex]

The line d passes through that point.

Answer:

A

Step-by-step explanation:

Since we can see that the figure is congruent but just flipped over x = 0, we are just reflecting it across the y=axis.

Answer:

A

Reflection across the y-axis.

The formula to find the radius of a circle, given the area, is r = √(A/π). This comes from rearranging the formula for the area of a circle, A = πr², to solve for r.

The area of a circle (A) is traditionally calculated with the formula A = πr², where A represents the circle's area, and r represents the circle's radius. If we want to rewrite this formula to solve for the circle's radius (r), we would divide both sides of the equation by π and then take the square root. This gives us the formula r = √(A/π). So, if we know the area of the circle and want to find out its radius, we can use this formula.

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The formula to find the radius  r  is: [tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]

The area of a circle (A) is given by the formula [tex]A = \pi r^2[/tex], where r is the circle's radius. To find the radius r from the area A, you can rewrite the formula as follows:

[tex]\[ A = \pi r^2 \][/tex]

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

[tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]

Answer:

Step-by-step explanation:

If the side of a triangle inscribed in a circle is a diameter, then it is a right triangle.

Use the Pythagorean theorem:

d - diameter

[tex]d^2=8^2+6^2\\\\d^2=64+36\\\\d^2=100\to d=\sqrt{100}\\\\d=10[/tex]

Answer:

Q(20,10)

Step-by-step explanation:

If point T (6,3) is a point 3/10 of the way from P(0,0) to Q(x,y), then

[tex]\overrightarrow {PT}=\dfrac{3}{10}\overrightarrow {PQ}.[/tex]

Find the coordinates of the vectors [tex]\overrightarrow {PT},\ \overrightarrow {PQ}:[/tex]

[tex]\overrightarrow {PT}=(6-0,3-0)=(6,3);\\ \\\overrightarrow {PQ}=(x-0,y-0)=(x,y).[/tex]

Thus,

[tex](6,3)=\dfrac{3}{10}(x,y),\\ \\(x,y)=\dfrac{10}{3}(6,3)=(20,10).[/tex]

Answer: =b^4 -16

Step-by-step explanation:

* Hopefully the work below helps:)!!! Mark me the brainliest:)!!!

∞ 234483279c20∞

Answer:

>

Step-by-step explanation:

100 is a larger quantity than 20.

Using the is greater than sign shows this relationship between two quantities.

Hope this helps.

-Gumina

For this case we have the following pair of numbers:

100 and 20

We must indicate the correct symbol to relationalize them. That is to say:

<,>, =

So:

[tex]100 <20[/tex]

The relationship is false.

[tex]100> 20[/tex]

The relationship is true. 100 is greater than 20.

Answer:

100 is greater than 20. The opening of the symbol should be pointing to 100. That is: [tex]100> 20[/tex]

Answer:

y=|x|-0.5

Step-by-step explanation:

downward is represented outside of the abolsute value.

Answer:

|x|-0.5

Step-by-step explanation:

its correct