450 yards in 15 minutes (show work) (find the unit rate)

The factored quadratic functions with their equivalent standard form are given as follows:

1. e -> x² - 3x - 10 = (x - 5)(x + 2)

2. a -> x² + 7x - 10 = (x + 5)(x + 2).

3. c -> x² - 7x + 10 = (x - 5)(x - 2).

4. d -> x² - 2x - 63 = (x - 9)(x + 7)

5. f -> x² + 2x - 63 = (x + 9)(x - 7).

6. b -> x² + 16x + 63 = (x + 7)(x + 9).

A quadratic function is defined as follows:

y = ax² + bx + c.

A quadratic function can be factored as a function of it's roots x* and x**, as follows:

y = a(x - x*)(x - x**).

For item a, the function is given as follows:

y = x² + 7x + 10.

The coefficients are given as follows:

a = 1, b = 7, c = +10.

The discriminant is of:

D = 7² - 4(1)(10)

D = 49 - 40

D = 9.

Hence the first root is of:

x = (-7 - square root of 9)/2

x = -5.

The second root is of:

x = (-7 + square root of 9)/2

x = -2.

Meaning that the factored expression is given as follows:

y = (x + 5)(x - 2).

Matched with the second expression of column A.

The same procedure is followed for the remaining quadratic functions.

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The best description of the figure with the vertices given is, C. Quadrilateral

The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.

The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.

To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.

The length of (1, -4), and  (-2, 1) is:

=  5.83 units

The length of (-2, 1), and   (3, 4) is:

= 5.83 units

The length of (5, 2) and  (3, 4) is:

= 2.82 units

The length of (5, 2) and  (1, -4 ) is:

= 7.21 units

The shape is neither a square nor a rectangle so it is a quadrilateral.

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The area of the isosceles triangle having two sides 12.5 cm and another 20cm is 75cm².

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 that an isosceles triangle has two sides having the same length and the third one is different.

We also know that the area of an isosceles triangle is (1/2)×b×√(a² - b²/4),

where b is the value of the third side and a is the value of two similar sides.

Therefore, The area of the isosceles triangle having side lengths of two similar sides is 12.5 cm and the third side is 20 cm is,

= (1/2)×20×√((12.5)²- (20)²/4) cm²,

= 10×√(156.25 - 100) cm².

= 10×√(56.25) cm².

= 10×7.5 cm².

= 75 cm².

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Answer:

13/7

Step-by-step explanation: YW :)

Answer:

[tex] \frac{13}{7} [/tex]

Step-by-step explanation:

7×1+6/7

13/7

plz mark as brainliest

Answer:

The equation of the line  that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2

Step-by-step explanation:

We can rewrite the original equation as y=-2x+1

To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2

So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:

y=1/2x+b

3=1/2(1)+b

3=1/2+b

5/2=b

Therefore, your final equation is y=1/2x+5/2

Answer:

???

Step-by-step explanation:

inadequate info a pic is needed :)

Answer:

50%

Step-by-step explanation:

real answer

This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.

Step 1: Start with the formula

N(t) = 15 * (1/2)^(t/22).

Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,

N(44) = 15 * (1/2)^(44/22).

Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.

Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is

15 * (1/4) = 3.75 grams.

The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.

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The solution of the fraction 3/4 is 0.75

The term fraction is defined as represent the parts of a whole or collection of objects

Here we have given the fraction 3/4.

Now, we have to do the following steps in order to find the decimal equivalent for the fraction.

First of all we just need to divide the numerator by the denominator.

Then we get the fraction is 3/4 which means we need to divide: 3 ÷ 4.

The division process is illustrated on the following image.

Then the decimal equivalent to the fraction written as 3/4 is expressed as 0.75 in the decimal form.

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Answer:

Please find attached herewith the solutions of your questions.

Hope it helps.

Yes, 6 is an positive number.

Now, According to the question:

What Is A Positive Number?

A positive number is any number that represents more than zero of anything. If you are talking about dollars in your bank account, a positive number will definitely make you feel positive too.

1, 2, 3, 4, 5, 6, 7, ........ are positive integers and -1, -2, -3, -4, -5, -6, -7, ........ are negative integers. 0 is an integer which is neither positive nor negative. On an integer number line, all numbers to the right of 0 are positive integers and all numbers to the left of 0 are negative integers.

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Answer:

$1.20

Step-by-step explanation:

Just divide $3.60 by 3. If that's the price of 3 boxes, dividing it by 3 will estimate it to how much 1 box will cost.

Answer:

$1.20 per box

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

The two given angles are called remote interior angles. They share 1 line with each other and each of them shares the other line making them up with the remote exterior angle (x)

x is the sum of the two interior angles

x = 88 + 46

x = 134

The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.

The unit technique is a strategy for addressing issues that entails first figuring out the value of a specific unit, then dividing that value to figure out the needed value. Simply put, the unit method is employed to derive a single system value from a multiple that is supplied. For example, 40 pens might cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, computational equations, or algebra of matrices or operators.

given

time separation of gold medalists by silver medalists is equal to 0.14 minus 0.2, or 0.11.

The difference in timing was greater since the silver medalists finished around 0.14 seconds ahead of the bronze medalists.

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Answer: u = -3

Step-by-step explanation:

   To solve the equation, we will isolate the u variable by simplifying and using inverse operations.

Given:

   4(3u + 5) = 2(2u - 2)

Distribute the 4 and the 2:

   12y + 20 = 4u - 4

Subtract 20 from both sides of the equation:

   12y = 4u - 24

Subtract 4u from both sides of the equation:

   8u = -24

Divide both sides of the equation by 8:

   u = -3

Answer: x = 11

Step-by-step explanation:

First, add 3 to both sides

0.4x - 3 = 1.4

        +3    +3

0.4x = 4.4

Then, divide each side by 0.4 to isolate x

x = 11

The third term of the arithmetic sequence will be negative 14.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 20 and the common difference is calculated as,

aₙ = aₙ₋₁ - 17

aₙ - aₙ₋₁ = - 17

d = - 17

Then the third term is calculated as,

a₃ = 20 + (3 - 1) (-17)

a₃ = 20 + 2 (-17)

a₃ = 20 - 34

a₃ = - 14

The third term of the arithmetic sequence will be negative 14.

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Answer:

$543.84

Step-by-step explanation:

Find the area of the room:

11*12 = 132ft^2

Multiply the area by the cost per square foot:

132*4.12 = 543.84 dollars

The standard deviation equation ( 1 + 6.8)% × 93000 > 202800

What is standard deviation?

Your dataset's standard deviation serves as a gauge of its degree of variability. It displays the typical difference between each outcome and the mean.

                            While a high standard deviation indicates that values are frequently distant from the mean, a low standard deviation indicates that values are typically grouped close to the mean.

( 1 + 6.8)% × 93000

= 202800

Then we get n ≈ 12,

the equation ( 1 + 6.8)% × 93000 > 202800

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By counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.

A high number of a certain number is estimated to be the closest whole number or significant number.

When estimating, the use of decimal points aids in separating the fractional portion from the entire figure.

For instance, we have a total of three integers after the decimal point if we want to calculate the product of 4.23 and 2.1.

     4.23

×         2.1

  4  2  3

________

8  4  6    

8  8  8  3  

Therefore, we shall move the decimal point three places, working our way from the back to the front.

The result of 4.23 and 2.1 is 8.883 then.

We can therefore say that we completely understand how estimating helps you accurately set the decimal point in a product.

Therefore, by counting the numbers of figures after the decimal points before you locate the product and shifting the decimal point from the rear to the front in the order you previously counted it after you find the product, an estimation can help you place the decimal point in a product correctly.

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Correct question:

How does estimation help you place the decimal Point in a product correctly?

Answer:

7.33333333333

Step-by-step explanation:

this was easy i did it in my head

Answer:

Yeah with that type of problem

Step-by-step explanation:

You aint getting answered for the next 4 hours <3

Answer:

number

equivalent to ten raised to the power of a googol.

Step-by-step explanation:

A googolplex is the number 10, or equivalently, 10. Written out in ordinary decimal notation, it is 1 followed by 10¹⁰⁰ zeroes; that is, a 1 followed by a googol zeroes

Answer:

7n - 1

Step-by-step explanation:

notice that the difference between adjacent terms is 7.

so nth term is given by:

nth term = first term + (n-1)×difference (n is any number)

= 6 + (n-1)7

= 6+ 7n -7

= 7n - 1

hope this helps :-))

Using the unit conversion and converting all the distance units to inches, The final answer is 7575 inches.

Divide the smaller unit's value by the quantity of smaller units required to create the larger unit. Multiply to change from a larger to a smaller unit. Divide to change from a smaller unit to a larger one. We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm).

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.

13 yard = 468inches

2ft = 24 inches

total 268+24+13 = 505inches

505*15 = 7575 inches

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Answer:

The answer is 5⁻¹ or 1/5

Step-by-step explanation:

5²/5³

Here, we know that the base is the same i.e., 5 so, will use the property;

5² ÷ 5³

5² ⁻ ³ = 5⁻¹ = 1/5

Thus, The answer is 5⁻¹ or 1/5

you can use a calculator to try and multiply all of them so multiply 6x4 and then it will give you the answer then once you have that answer multiply it with the 4 im pretty sure but if not then sorry

Answer:

Yes, the answer is 'True'

Answer:

k = -2

Step-by-step explanation:

The value of k is -2

cuz the point D is marked at (1,-2)