I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's age will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be $3$ times that of the younger turtle?

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36)

1/4(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36) = 0

(4[tex]x^{4}[/tex] - 25[tex]x^{2}[/tex] + 36) = 0

4[tex]x^{4}[/tex] - 16[tex]x^{2}[/tex] - 9[tex]x^{2}[/tex] + 36= 0

4[tex]x^{4}[/tex]([tex]x^{2}[/tex] - 4) - 9([tex]x^{2}[/tex] - 4) = 0

(4[tex]x^{4}[/tex]-9)([tex]x^{2}[/tex] - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Answer: 18

Step-by-step explanation:

There are no parenthesis or exponents, so you use multiplication first.

6 x 2 = 12

That makes your equation 14 + 12 - 16 + 8

Now you only have adding and subtracting left, which you’ll do from left to right.

14 + 12 = 26

26 - 16 + 8

26 - 16 = 10

10 + 8 = 18

Hope this helps!

Answer: The constant of variation, k , is 54

Step-by-step explanation: Step 1: Check whether the graph is a straight line. If the graph is not a straight line, it does not represent a proportional relationship. Step 2: Check whether the line goes through the origin. If the graph does not go through the origin, it does not represent a proportional relationship.

The rate, in inches per hour, at which the rain fell during that time on Friday is 3/8 inches per hour.

Time for which the rain fell = 2 hours

The total amount of rain that fell = 3/4 inch

So, in 2 hours, the amount of rain that fell = 3/4

In 1 hour, the amount of rain that fell = 3/8 inches

Hence, The rate, in inches per hour, at which the rain fell during that time on Friday = 3/8 inches per hour.

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Deepak will work for at-least 4 hours in each job

Linear Inequality in one variable:

                                       A linear inequality in one variable that can be written either in the form of,

a+bx<0

a+bx≤0

a+bx>0

a+bx≥0  

             where,

                   where a and b are real numbers and a≠0 a ≠ 0

For the given question,

          Deepak charges $30 for each job he does plus an additional $15 for each hour he works.

He only accepts jobs if he will earn at least $90 per job.

If,

     x is number of hours Deepak works in each job then,

      required inequality can be written as,

             30 + 15x  [tex]\geq[/tex] 90

                 15x ≥ 90 - 30

                  15x ≥ 60

                    x ≥ 60/15

                    x ≥ 4

thus,

      we conclude that Deepak will work for at-least 4 hours in each job.

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The true statement about the function of area of by rectangle and width of rectangle are:

The correct answer option is options A and D

A rectangle is a quadrilateral having opposing sides parallel and four right angles.

At point (x, y) = (10, 100) the area is maximum.

This means that the area of the rectangle is maximum when width is 10m.

If the width of the rectangle is more than 10m, the area reduces or decreases.

Therefore, the statement Greater width relates to greater area as long as the width is more than 10 m is false.

The statement "To get the greatest area, the width should be 20" is false.

Complete question:

Simon has a certain length of fencing to enclose a rectangular area. The function A, models give the rectangles area (in square meters) as a function of its width (in meters).

Wlhich of these statements are true?

A. Greater width relates to greater area as long as the width is less than 10.

B. Greater width relates to greater area as long as the width is more than 10.

C. To get the greatest area, the width should be 10

D. To get the greatest area, the width should be 20

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The ratios of the right triangle to solve for x is as follows;

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right angle triangle can be named base on the position of the angles.  

The sides of a right angle triangles are hypotenuse sides, opposite and adjacent side. The hypotenuse side is the longest side of the right triangle.

Therefore, let's find the ratio that can be used to find the angle x.

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

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Answer: 2/3

Step-by-step explanation:

12 out of 18 prefer summer sports so as a fraction it would be 12/18 = 6/9 = 2/3

Answer:

33.3333%

Step-by-step explanation:

EXPLANATION

Based on the given conditions, formulate: (18-12) ÷ 18

Calculate the sum or difference:[tex]\frac{6}{18}[/tex]

Cross out the common factor:[tex]\frac{1}{3}[/tex]

Rewrite a fraction as a decimal: 0.333333

Multiply a number to both the numerator and the denominator: 0.333333x[tex]\frac{100}{100}[/tex]

Write as a single fraction:[tex]\frac{33.33333x100}{100}[/tex]

Calculate the product or quotient:[tex]\frac{33.333}{100}[/tex]

Rewrite a fraction with denominator equals 100 to a percentage: 33.3333%

Answer: 33.3333%

At that particular critical point, the second derivative needs to be negative in order to obtain the dimensions of the cylinder with the maximum volume. The values of the function that contain both variables are then substituted to obtain the dimensions.

A right circular cone with a height of 2.5 and a base radius of 7.5 inscribes the given cylinder.

Assume that h is the height and r is the radius of the cylinder. Using triangles that are similar, express h in terms of r as follows:

2.5/7.5 = 2.5-h/r

2.5r = 18.75 x 7.5 x 2.5 h = 2.5 x 1/3r

V= πr²h is the formula for the cylinder's volume.

As a result, only write the volume in terms of r.

V= r2h V= r2(2.5-1/3r)

V= 2.5πr² - 1/3πr³

As a result, the cylinder must have dimensions of r=5 and h=0.83.

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Answer:

  -425

Step-by-step explanation:

You want the sum of the first 8 terms of the geometric series with first term 5 and common ratio -2.

The sum is given by the formula ...

  Sn = a1·(r^n -1)/(r -1) . . . . . . a1 = first term, r = common ratio

The sum of 8 terms of the given series is ...

  S8 = 5·((-2)^8 -1)/(-2 -1) = 5(255/-3) = -1275/3 = -425

The sum of 8 terms is -425.

Answer:

y=2x-2

Step-by-step explanation:

2.5y=5x-5

 /2.5. /2.5

y=2x-2

Hopes this helps please mark brainliest

Answer:

y=2x−2

Step-by-step explanation:

The slope-intercept form is

y=mx+b, where m

is the slope and b

is the y-intercept.y =mx+b

Divide each term in 2.5y=5−5 by 2.5

and simplify. y=2x−2

Answer:

Step-by-step explanation:

Answer:

you can do the favour of marking the answer brainlest pls

Answer:

False

Step-by-step explanation:

The correct answer is y = -25x + 450

Answer:  After 5 Years Alex will receive 90 Dollar.

Step-by-step explanation 5 x 6% of 300 = 30% is 90 Dollar.

The measure of angle 4 is 125° for the given triangle.

According to the question,

We have the following information:

A figure is given of triangle and its exterior angles.

m∠1 = 70°

Now, the two sides (with line on them) of the triangle are equal. So, it means that it is an isosceles triangle.

We know that sum of three angles of a triangle is 180°.

Let's take the two equal angles to be x°.

x+x+70 = 180

2x+70 = 180

2x = 180-70

2x = 110

x = 110/2

x = 55°

We know that angles made on a straight line is 180°.

∠4 and angle x will make a straight line.

∠4 = 180-55

∠4 = 125°

Hence, the correct option is A.

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Answer:

Part B: (0, -6)

Part C: x = -1

Part D: (-1, -8)

Explanation:

see the attached pdf

The rate written in miles per hour is 2.67 mph.

What is constant rate?

A rate of change is constant when, at any given point along the function, the ratio of the output to the input remains constant. The slope is another name for the rate of change that is constant. A linear function will change at a constant rate.

Let, John walks at a constant rate of 8 miles every 3 hours.

Therefore, the rate per hour is,

[tex]\frac{8}{3} = 2.6666\\ = 2.67 miles per hour.[/tex]

Therefore, the rate written in miles per hour is 2.67 miles per hour.

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Answer:

x= -2

Step-by-step explanation:

-2 = 3x + 8/2

-2+2=3x+4+2          (add 2 to both sides)

0=3x+6                          

-6=3x+6-6

3x=-6

x=-6/3

x= -2

The area of the triangle ΔHIJ is 42805 square centimeters.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a given ΔABC can be obtained by (1/2)×a×c×sin(∅/2)

where sin(Ф/2) is the included angle.

Given,  ΔHIJ, h = 730 cm, i = 390 cm and ∠J=35°.

∴ The area of the ΔHIJ is (1/2)×730×390×sin(35/2) square centimeter.

= 142,350×sin(17.5) square centimeter.

= 42805 square centimeters.

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Answer:

x = 154

Step-by-step explanation:

[tex]\frac{x}{11}[/tex] + 16 = 30 ( subtract 16 from both sides )

[tex]\frac{x}{11}[/tex] = 14 ( multiply both sides by 11 to clear the fraction )

x = 11 × 14 = 154

Answer:

x = 154

Step-by-step explanation:

Given equation,

→ (x/11) + 16 = 30

Now the value of x will be,

→ (x/11) + 16 = 30

→ x/11 = 30 - 16

→ x = 14 × 11

→ [ x = 154 ]

Hence, value of x is 154.

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 5.8\%\to \frac{5.8}{100}\dotfill &0.058\\ t=\textit{hours}\dotfill &2\\ \end{cases} \\\\\\ ~\hfill A=100(1 - 0.058)^{2} ~\hfill[/tex]

The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A radioactive compound with mass 100 grams decays at a rate of 5.8% per hour.

And, Time = 4 hours

Now,

Since, We know that;

Amount for Exponential Decay is,

⇒ [tex]C = P (1 - r)^t[/tex]

Where, C is current amount, P is initial amount, r is rate and t is timeeee

Substitute all the values, we get;

The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

Thus, The equation represents the grams of the compound will remain after 2 hours will be;

⇒ C = 100 (1 - 0.058)²

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Answer:327

Step-by-step explanation:

Because you already have the equation, all you need to do is plug in the value for X. If X is equal to 4, our equation would look like this:

y = 78 * 4 + 15

Because of order or operations (PEMDAS), we do multiplication first.

y = 312 + 15

y = 327

Hope this helped!

Answer:

x = 20

Step-by-step explanation:

Expanding the bracket on the right gives us :

2.5x + 20 = 3.5x - 4

Subtract 2.5x from both sides :

20 = x - 4

Add 4 to both sides :

20 = x

x = 20

Hope this helped and have a good day

Answer:

ya  poop in the coffee and then ya see how  many pounds there is find the the type urself

Step-by-step explanation:

Answer:

it is 3 0 o 90 not up okbg 56

Answer: It will take 24 years to have 7 million.

Step-by-step explanation:

1.65% of 5.04 million is 83,160.

2018 is 6 years from 2012.

83,160 x 6 = 498,960.

498,960k + 5,040,000mil =5,538,960mil. still not quite 7 million.

498,960k x 4 = 1,995,840mil.

1,995,840mil + 5,040,000mil = 7,035,840mil.

It will take the city 24 years to have 7 million.

Answer:

a) 6.2%
b) £13,687

Step-by-step explanation:

a)

To find the rate of interest, we first find the interest itself.
£7965.00 - £7500.00 = £465.00
Using this, we find the rate of interest in percentage as a fraction of the original loan.

(£7500.00 ÷ £465.0) × 100 = 6.2%

Thus, the rate of interest is 6.2%.

b)
Compound interest is found using the formula
[tex]A = P(1 + \frac{r}{100})^{t}[/tex]
Where

A = final amount

P = initial principal balance

r = interest rate

t = number of time periods elapsed

Thus, with an initial balance of £7500, an interest rate of 6.2% and a time period of 10 years, calculated per annum, we can plug the numbers into the formula, giving us

[tex]A = 7500(1 + \frac{6.2}{100})^{10}[/tex]
   [tex]=[/tex] £13,686.94
   ≈ £13,687 (to nearest £1)

Some things to note: number of time periods elapsed mean the amount of times it is compounded; if the question says compounded quarterly for 3 years, t = 12 as it is compounded 4 times a year for 3 years, giving is 12 time periods. This also applies to monthly, bi-weekly etc.