Which BEST describes the decimal form of a rational number?
Responses
A either terminates in 0's or repeats. either terminates in 0's or repeats.
B eventually repeats a non-zero digit eventually repeats a non-zero digit
C neither terminates nor repeat sn either terminates or repeats
D always terminates in 0's

Step-by-step explanation:

The advantage of using a credit card is its easy access to credit

Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

Learn more about Pythagorean on

https://brainly.com/question/343682

#SPJ1

Answer:

  c > -7/8

Step-by-step explanation:

Add 2 for an inequality that compares to zero:

  2x^2 -3x +(c+2) > 0

This will be true when the discriminant is negative. For the quadratic ...

  ax^2 +bx +c

the discriminant is ...

  b^ -4ac

We want this to be negative:

  (-3)^2 -4(2)(c+2) < 0

  9 -8(c +2) < 0

  9 -8c -16 < 0

  -7 < 8c

  -7/8 < c

The given inequality will be true for all values of c greater than -7/8.

Answer:

Step-by-step explanation:

Given function is f(x) = x² - 5x + 5

(a). Slope of the secant of the function in the interval [1, 3],

m = \(\frac{\triangle y}{\triangle x}\)

For x = 1

\(y_1\) = (1)²- 5(1) + 5

\(y_1\) = 1

For x = 3,

\(y_2\) = (3)² - 5(3) + 5

\(y_2\) = 9 - 15 + 5

\(y_2\) = -1

Slope 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{1+1}{1-3}\)

m = -1

(b). Slope of the secant of the function in the interval [1, 2],

m = \(\frac{\triangle y}{\triangle x}\)

For x = 1,

\(y_1\) = 1 [From part a]

For x = 2,

\(y_2=\) (2)² - 5(2) + 5

    = 4 - 10 + 5

    = -1

Slope = \(\frac{-1-1}{2-1}\)

          = -2

(c). Slope of the secant of the function in the interval [0, 1]

For x = 0,

\(y_1=0-5(0)+5\)

    = 5

For x = 1

\(y_2=-1\) [From part (b)]

m = \(\frac{5+1}{0-1}\)

   = -6

(d). Derivative of the function 'f',

f'(x) = 2x - 5

At x = 1,

f'(x) = 2(1) - 5

      = -3

Slope of the tangent = -3

a) The slope of the secant line of the function on the interval [1, 3] is -1.

b) The slope of the secant line of the function on the interval [1, 2] is -2.

c) The slope of the secant line of the function on the interval [0, 1] is -4.

d) The estimated slope of the tangent line of \(f(x)\) at \(x = 1\) is -3.

Let \(f(x)\) be a differentiable curve, the slope of a line secant to that curve (\(m_{AB}\)) is defined by the following expression:

\(m_{AB} = \frac{f(b)-f(a)}{b-a}\), \(a \ne b\) (1)

If we know that \(f(x) = x^{2}-5\cdot x + 5\), \(a = 1\) and \(b = 3\), then the slope of the secant line is:

\(m_{AB} = \frac{-1-1}{3-1}\)

\(m_{AB} = -1\)

The slope of the secant line of the function on the interval [1, 3] is -1. \(\blacksquare\)

If we know that \(f(x) = x^{2}-5\cdot x + 5\), \(a = 1\) and \(b = 2\), then the slope of the secant line is:

\(m_{AB} = \frac{-1-1}{2-1}\)

\(m_{AB} = -2\)

The slope of the secant line of the function on the interval [1, 2] is -2. \(\blacksquare\)

If we know that \(f(x) = x^{2}-5\cdot x + 5\), \(a = 0\) and \(b = 1\), then the slope of the secant line is:

\(m_{AB} = \frac{1-5}{1-0}\)

\(m_{AB} = -4\)

The slope of the secant line of the function on the interval [0, 1] is -4. \(\blacksquare\)

The slope of the tangent line of \(f(x)\) at \(x = 1\) can be estimated by concept of weighted averages, whose application is shown below:

\(m = \left(\frac{1-0}{2-0}\right)\cdot (-4) + \left(\frac{2-1}{2-0} \right)\cdot (-2)\)

\(m = -3\)

The estimated slope of the tangent line of \(f(x)\) at \(x = 1\) is -3. \(\blacksquare\)

To learn more on secant lines, we kindly invite to check this verified question: https://brainly.com/question/10128640

Answer:

62%

Step-by-step explanation:

(The part/ the whole)× 100

(95/153) = 0.62

0.62×100 = 62%

Answer: 40

Step-by-step expla

Step-by-step explanation:

Given

the function c(y)=-6y-5

Now put y=-4

we get

c(-4)=-6(-4)-5

c(-4)=24-5

c(-4)=19

therefore the value of c(-4) is 19

Answer: 1. Sometimes  2. Always

Step-by-step explanation:

I am pretty sure these are right.

Answer:

20,45 kg,

Step-by-step explanation:

45  Lb * (1 kg / 2,2 Lb) + (12 Austrália * (1 kg / 35 ,2 Austrália)) = 20,45 kg

Um resposta é 20,45 kg.

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

\(\boxed{\sf \ \ \ a = 1 \ \ \ }\)

Step-by-step explanation:

Hello,

saying that \(x-\sqrt{a}\) is a factor means that \(\sqrt{a}\) is a zero which means

\(2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\<=> 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\<=>3-3*\sqrt{a}=0\\\\<=>\sqrt{a}=\dfrac{3}{3}=1\\\\<=> a = 1\)

so the solution is a = 1

Do not hesitate if you have any question

Answer:

B.

Step-by-step explanation:

the range is the y values of the line.

so it would be [3, 6]

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

school

Answer: B. Completely Randomized Design

Step-by-step explanation:

A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.

In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.

The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.

The table representing amount of money which Sarah charges her customers to sell newspapers.

Let us consider 'x' represents the time per hour charges taken by Sarah from customers.

In the table,

For zero hours charges are $5.

It means Fixed charges taken by Sarah to sell newspaper.

Difference between the rate per hour is,

$7 - $5 = $2

$9 - $7 = $2

It represents for Sarah charges $2 per hour.

let us consider 'y' that represents total amount charges by Sarah.

Required linear function for selling news paper and charging amount is

y = $5 + 2x

⇒ y = 2x  + 5

Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.

learn more about linear function here

brainly.com/question/28589386

#SPJ1

Answer:

The decrease in the house value was $27,230

The current value is ($389,000 - $27,230), or $361.770

Step-by-step explanation:

The decrease was 7%.  In dollars, that comes to 0.07($389,000), or $27,230:  The decrease in the house value was $27,230.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

Learn more about numbers in https://brainly.com/question/24908711

#SPJ1

Answer:

Step-by-step explanation: It is a rate problem. If Alex can eat 8 hotdogs in 12 mins, you just divide 12/4=3 mins. Then, divide the hotdogs. 8/4=2

So: Alex can eat 2 hotdogs in 3 minutes

Answer:

Step-by-step explanation:

hope that will help you

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

for such more question on integers

https://brainly.com/question/22008756

#SPJ8

Answer:

B: $46.08

Step-by-step explanation:

There are 8 co-workers, and each plant costs $5.76, so we multiply 8*5.76 to get $46.08.

Answer:

B

Step-by-step explanation:

because $5.76×8=$46.08

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

More on half-life can be found here: https://brainly.com/question/31666695

#SPJ1

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

The mass per cup for the objects will be 320g and 272g respectively.

Mass simply means the weight that an object contains.

The mass of a teapot and 4 cups is 1,280 grams. The mass per cup will be:

= Mass / Number of cups

= 1280 / 4

= 320g

The mass of the same teapot and 10 cups is 2,720 grams. The mass per cup will be:

= 2720 / 10

= 272g

Learn more about mass on:

brainly.com/question/19385703

#SPJ1

Answer: Shirt costs $45.79

Step-by-step explanation:

jacket- x

shirt (x-7.76)

x+x-7.76=99.34

2x - 7.76 = 99.34

2x = 107.10

x=53.55

Jacket costs 53.55 and Shirt costs 53.55-7.76= 45.79

Answer:

n<-1.25

Step-by-step explanation:

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ9