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:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Answer:

[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]

9514 1404 393

Answer:

  5.66

Step-by-step explanation:

For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...

  y = √x ≈ s +r/(2s+1)

An iterative improvement on the estimate can be had by ...

  y' = s + r/(s +y)

Here, this means a first estimate can be obtained as ...

  32 = 5² +7   ⇒   s = 5, r = 7

  √32 ≈ y1 = s +r/(2s +1) = 5 7/11

Then an iterative improvement will be ...

  y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66

_____

Additional comment

The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...

  p'/q' = (x·q² +p²)/(2pq)

Then our above estimate of 5 7/11 for the root of 32 would be refined to ...

  p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....

Answer:

[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]

Step-by-step explanation:

slope intercept form y=mx+b

you just need to move the letters and numbers around to match this.

-4x-3y=-18

add 4x to both sides of the equal sign

-3y =4x-18

divide by negative 3 on both sides

y = -4/3x + 6

21. -2x+3y=21

add 2x to both sides

3y = 2x + 21

divide by 3 on both sides

y = 2/3x +7

Answer:

point H is in quadrant II

Answer: HEre finnaly this is right..

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function?

0≤x≤8

Part B: What does the y-intercept of the graph of the function f(m) represent?

the length at the start of the study

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent?

6.86−5.047−3=1.82

it represents the average growth in length of the fish from the 3rd month to the 7th month of the study

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

[tex]\bold{Hello~!}[/tex]

What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]

[tex]\sf{ 0.125}[/tex]

Hope It Helps!

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

Please, Follow me. and like my answers ! And, Brainliest is Appreciate !

Answer:

should be, must be, gotta be it

Step-by-step explanation:

13² = 7² + x²

169 = 49 + x

x² = 169 - 49

x² = 120

x = [tex]\sqrt{120}[/tex] (do this stpd calculus)

x = 2[tex]\sqrt{30}[/tex]

________

[tex] \: [/tex]

x² = 13² - 7²

x² = 169 - 149

x² = 120

x = √120

x ≈ 2√30m

Answer:

B. between -2 and -1

Step-by-step explanation:

Brainlyist please

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

Answer:

Second and fourth pairs of rectangle are similar.

Answer:

Solution:

Volume of cylinder = area of base × altitude

Volume = πr² × altitude

V= 3.14 × 12² × 14

V = 3.14 × 144 × 14

V = 6,330.24 cm

Answer:

Your answer should be C

Step-by-step explanation:

Answer:

3x - 2y = -18

Step-by-step explanation:

3x - 2y = -18 and (-2, 6)

(3)(-2) - (2)(6) = -6 - 12 = -18

Answer:

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figurewe know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

Step-by-step explanation:

THIS IS NOT MY ANSWER

Congruent angles are angles with equal measures

Angles between parallel lines and transversals are congruent by any of the following relationships

Using the above angle relationships, the classifications of the angles are:

Alternate exterior angles

m∠2=m∠7

m∠1=m∠8

Alternate interior angles

m∠3=m∠6

m∠5=m∠4

Corresponding angles

m∠1=m∠5

m∠3=m∠7

m∠2=m∠6

m∠4=m∠8

Vertical angles

m∠1=m∠4

m∠2=m∠3

m∠5=m∠8

m∠6=m∠7

Read more about congruent angles at:

https://brainly.com/question/1675117

Answer:

the value of x is 1......

as we know B is the midpoint....

then,

5x-7=3x-5

5x-3x=-5+7

2x=2

x=2/2

x=1

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Answer:

35/100

Step-by-step explanation:

percents go buy hundreds, so 35 percent in fraction form would be 35/100

Answer:

1/2 extra with overtime

Step-by-step explanation:

150%=150/100

150/100=15/10

15/10=3/2

1 and 1/2

Answer: 1(a) $120

(ii a) $34

Step-by-step explanation:

21-19 = 2

$6/2=3

21x 3( one ratio =$3) =63

19x3 = 57

63+57=120 - (1 A ans)

(ii a) 40x0.15 (percentage decrease)= 6

40-6 = $34

The total amount of money shared by Yasmin and Zak is $120.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

(i) The given ratio is 21:19

Let Zak be having $x, the Yasmin will be having $(x+6).

Now, 21/19 = x+6/x

21x=19x+114

2x=114

x= $57

So, x+6= 57+6 = 63$

Total 63+57=$120

(ii) Given that, Yasmin buys a blouse with an original price of $40.

In a sale, all prices are reduced by 15%.

Now, 15% of 40

= 15/100 ×40

= 0.15×40

= 6

New cost =40-6

= $34

Therefore, the sale price of the Yasmin's blouse is $34.

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Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

Answer: 5 yards will be left over.

Step-by-step explanation:

8 * 7 = 56

so then you would minus 56 from 61 which equals 5.  Sorry if that's a weird way to get it but...

Answer:

s/5=b

Step-by-step explanation:

The required expression is n/5 = b

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

We have the variable b to represent the unknown quantity.

The expression,

the number of soda bottles split 5 ways.

That means,

Let n be the number of soda bottles.

So,

using division operation,

n / 5 = b

Therefore, the expression is n/5 = b.

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