During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.

1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.

2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.

3.Approximately how long before the puck will hit the ice?

4.For what values of time is the height invalid?

Answer:

3. How many faces do each of the following have?

Hope this helps!

Answer:

^2+2−3

Step-by-step explanation:

Answer: the coefficient of x in the expansion is 2

Step-by-step explanation:

(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)

which equals x^2 -x +3x -3 which is x^2 +2x -3

the leading coefficient of x^2 1. and the coefficient of x is 2.

Answer:

w = 18cm

Step-by-step explanation:

Using the formula

P = 2 (l + w)

Solving for w

w = P

2﹣l = 82

2﹣23 = 18cm

Answer:546 +412 Is 958

Step-by-step explanation:

Answer:

m^2/n

Step-by-step explanation:

The following laws of exponent are useful to this problem:

[tex] \displaystyle \large{ {(mn)}^{b} = {m}^{b} {n}^{b} } \\ \displaystyle \large{ {n}^{ - b} = \frac{1}{ {n}^{b} } }[/tex]

We are given the expression:

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } }[/tex]

Use the first law of exponent above.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{(8)( \frac{1}{4}) } {n}^{ ( - 4)( \frac{1}{4}) } } \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } {n}^{ - 1} }[/tex]

Make sure to recall the important necesscary fundamental math such as operation with negative numbers/integers, basic division, fraction, etc.

From the expression, apply the second law of exponent to n^-1.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n}^{1} } )} \\ \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = {m}^{2 } ( \frac{1}{ {n} } )} \\ [/tex]

Multiply m in.

[tex] \displaystyle \large{( {m}^{8} {n}^{ - 4} )^{ \frac{1}{4} } = \frac{ {m}^{2} }{ {n} } }[/tex]

Thus the answer is m^2/n.

Answer: The answer is B.

Step-by-step explanation: I took the test (:

Answer:

b

Step-by-step explanation:

Answer:

506.093

Step-by-step explanation:

Answer:

thank you very much

1235÷722

Answer:

When y = 20 ,x is −5

Step-by-step explanation:

Answer:

speed = distance÷time 48.7÷1.2 = 40.58

Let the bigger number be 'U' and the smaller number 't'.

Since the two numbers have a sum of 32, then   U + t = 32.

& since one number is 6 more than the other, the U - 6 = t

⇒ U + U - 6 = 32

             2U = 38

                U = 19

By substituting fot the value of U we found,

19 - 6 = t

      t  = 13

Answer:

13 and 19

Step-by-step explanation:

let's first set the two mystery numbers as "x"

and we know that x + (x + 6) = 32 since one of the numbers is 6 more than the other.

now let's set it up:

x + x + 6 = 32

= 2x = 26

= x = 13

so we know that x = 13 now we need to find the other number so we do:

13 + 6 = 19

now to check our work:

13 + 19 = 32

hope that helped :))

Answer:

Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.

Step-by-step explanation:

Answer:

(x−1)(x+2)(x+2)

Step-by-step explanation:

x2(x−1)+4x(x−1)+4x−4

x3+3x2−4

=(x−1)(x+2)(x+2)

Answer:

( x - 1 ) ( x + 2 )²

Step-by-step explanation:

→ Factor out 4x - 4

4 ( x - 1 )

→ Rewrite

x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )

→ Factor out x - 1

x - 1 ( x² + 4x + 4 )

→ Factor the quadratic inside

( x - 1 ) ( x + 2 )²

Answer: everyone to the nearst tenth is 7% 8% 81% 92%

Step-by-step explanation: if this is what it is i did this in the  4th

Answer:

its equals 30 cubic units

Happy To Help :)  Pls mark brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

Answer:

x = (23 + √ 497 / 8) ,  (23 − √ 497  /8)

x=5.66168710

Step-by-step explanation:

im too lazy. use math-way

Hello Carousel!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm

b) 14.2 cm

c) 12 cm

d) 19.2 cm

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Please refer to the attached picture for the answers with steps included.

NOTE :-

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

The answer is n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

−29=−13−n

Step 1: Simplify both sides of the equation.

−29=−13−n

−29=−13+−n

−29=−n−13

Step 2: Flip the equation.

−n−13=−29

Step 3: Add 13 to both sides.

−n−13+13=−29+13

−n=−16

Step 4: Divide both sides by -1.

−n/−1 =−16/−1

n=16

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

Answer:

Domain: (- infinity, infinity) Range: (-infinity, infinity)

Step-by-step explanation:

ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.

Answer:

slope is -2/3

Step-by-step explanation:

[tex]3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2[/tex]

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Type of Slope: Visual Description

Undefined: vertical

Negative: downhill

Answer:

thank You for your points rhis is the answer kf

Answer:

51°

Step-by-step explanation:

We know that all angles in a triangle add up to 180°

We have one of them, 68° for now.

We also know the angle on the outside of the triangle that forms with one side being extended. That side is a straight line (180°)

Which means the interior angle there would be 180-119 = 61°

This means that we have 2 out of 3 angles now. Now we just add them up and subtract them from 180°.

180° - (68+61) = 51° is our final answer.

Let me know if that makes sense, or if you have any other questions.

Hope I helped! :)

Answer:

A, B, C

Step-by-step explanation:

Assuming the choices are:

A. [tex](x-2)(x^{4}+3)[/tex]

B. [tex]x^{2} -1[/tex]

C. A+[tex]x^{4} +16[/tex]

D. [tex]\frac{1}{x} +2[/tex]

Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.

Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.

Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).

Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.

Answer:

Option D

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]

Simplify

[tex]\\ \sf\longmapsto x^{-1}+2[/tex]

Degree is less than 1 .It's not a polynomial