A ball is dropped from the top of a 400-ft tall tower. The relationship between the time, t, in seconds, and the height, h(t), in feet, of the ball can be modeled by a quadratic function. Specific values of the function are shown in the table below
Part A: Determine the average rate of change of h(t) between t = 2 and t = 5.
Part B:Explain what this average rate of change means in terms of the context.

Answer:

6 months

Step-by-step explanation:

115 v 145 0 month

118 v 143 first

121 v 141 second

124 v 139 third

127 v 137 fourth

130 v 135 fifth

133 v 133 sixth

Please give me brainliest if this helps!

B. 6 Months

R=115+3x

115 is his weight and 3x is Rupert gaining each month

M=145-2x

145 is his weight and -2x is Micheal losing weight

so if you plug in 6 as the x

R 133=115+3(6)

133=115+18

P 145=145-2(6)

145=145-12

Problem 1

One method Olivia could have used is to reflect over the x axis and then translate 10 units to the right.

Let's apply these set of steps to point C.

C = (-2,-4)

C' = (-2,4) after reflecting over the x axis; y coordinate flips in sign

C'' = (8,4) after shifting to the right 10 units; add 10 to the x coordinate

Point C(-2,-4) moves to C''(8,4) which is shown in the diagram. I'll let you check the other four points.

-----------

Another method Olivia could have used is to shift to the right 10 units first, then reflect over the x axis. In this case, the order doesn't matter. Though for some other combinations of transformations, order does matter.

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Problem 2

Reflecting over the y axis will have the point (x,y) turn into (-x,y). Only the x coordinate changes, and we flip the sign here. The y coordinate stays the same.

A point like C(-2,-4) becomes C'(2,-4) after the y axis reflection. Shifting up 8 units means we add 8 to the y coordinate to arrive at C''(2,4) but this does not match what the diagram shows. Therefore, Angelica's method is incorrect.

You should find other inconsistencies for the other four points as well.

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Problem 3

Michael's method isn't correct either. He does not apply an x axis reflection and instead relies entirely on translations to move ABCDE to A''B''C''D''E''

At a quick glance, it looks like Michael may be correct. But upon a much closer look, you'll see that things don't line up perfectly.

Instead of point C, we'll pick on point D this time.

D is located at (-6,-2). If we shift up 8 units, then we add 8 to the y coordinate to get to D'(-6,6). Then add 10 to the x coordinate to shift 10 units to the right. This leads us to D''(4,6).

However, the diagram shows D'' is actually at (4,2)

I'll let you check the other points. You should find that only points C and E go to the correct locations, but the other points do not. Again, this is because Michael did not apply an x axis reflection. His figure of A''B''C''D''E'' is upside down compared to what it should be.

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To summarize, the methods described in problem 1 are the correct way to get ABCDE to move to A''B''C''D''E''. If Olivia followed either of those two methods, then she is correct. Both Angelica and Michael have incorrect methods.

Answer:

A. 60 cubic inches

Step-by-step explanation:

V=(h)(b)(l)

V=(4)(5)(3)

V=(20)(3)

V=60

Answer:

6x -8 +8 =2x -2x + 24

16+ 8 =24

4x +8 -8 =24 -4x

4x = 16

x = 4

Step-by-step explanation:

sorry if it took forever

Answer:

8

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

V=48cm³

h Height 4 cm  

AB Base area 12 cm

( I don't think this is the correct answer)

Answer: 48 cubic centimeters

Step-by-step explanation:

Go to go-ogle look up your answer and then you should be at this "Triangular prism" then you can put in the numbers and get the answer right and its really easy! I hope you have a nice day.

Answer:

1: c =10

2: b = 4

3: a = 9

4: c =13

Answer:

The volume is 5.25 inches.

Step-by-step explanation:

All we have to do is multiply all 3 units to get the volume.

1.5 * 1 * 3.5 =

1.5 * 3.5 =

5.25

So, the answer is 5.25

Hope this helps! :)

Answer:

5.25

Step-by-step explanation:

1.5 times 1 times 3.5

Answer:

18 minus p

Step-by-step explanation:

if u subtract 18-p u will get p=12

The amount of building material needed to cover the pyramid which Tony's architecture firm is constructing is 144 square feet.

The area of the triangle is half of the product of base and height of the triangle. It can be calculated as,

[tex]A=\dfrac{1}{2}b\times h[/tex]

Here, b is the length of base, and h is the height.

Tony's architecture firm is constructing a square pyramid play structure for a school.

As the height of the triangle is 8 and base is 9 feet of triangle. Thus, the area of one triangular face is,

[tex]A=\dfrac{1}{2}\times9\times8\\A=36\rm\; ft^2[/tex]

Area of 4 triangle side is,

[tex]A=36\times4\\A=144\rm\; ft^2[/tex]

Thus, the amount of building material needed to cover the pyramid which Tony's architecture firm is constructing is 144 square feet.

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Answer:

year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $7000.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:

The interest is: $420.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 7000.00 + 420.00 = 7420.00. For example:

If you borrowed the $7000.00, you would now owe $7420.00

If you loaned someone $7000.00, you would now be due $7420.00

If owned something, like a $7000.00 bond, it would be worth $7420.00 now.

Answer:

I really don't know,

Step-by-step explanation:

The length is 2 inches

Answer:

8/27 it's the answer

Step-by-step explanation:

(2/9)^3 = 2*2*2/3**3*3

= 8/9

Answer:

question may be answered differently by different people

Answer:

yltkh

Step-by-step explanation:

ewgeg

Answer:

4/61c35x

Step-by-step explanation:dont that before

Answer:

2 1/2

Step-by-step explanation:

1/2 minute = 1 3/4 degrees fahrenheit.

1 minute = 2 1/2 degrees Fahrenheit.

you can take 1 3/4 + 1 3/4 and get the Answer.

Answer:

possibly 4 hope this helps

Step-by-step explanation:

Answer:

It is 18 x 6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Answer:

21.5

Step-by-step explanation:

Answer:

$7704.32 was paid

Step-by-step explanation:

There are 920 milligrams in 0.92 grams from the unit conversion.

A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

To find the milligrams in 0.92 grams.

Since there is 1000 milligram in 1 gram,

thus,

In 0.92 grams the total of milligrams will be = 0.92 * 1000

In 0.92 grams the total of milligrams will be = 920 milligrams

Therefore, there are 920 milligrams in 0.92 grams.

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Answer:

Your answer

2.1281<3.2<3.208<3.28

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

Step-by-step explanation:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

Answer:

ez xD

Step-by-step explanation:

Answer:

1.  2x

2. 4x

3. 8

4. 16

5. 4

Answer:

48

Step-by-step explanation:

3(4)^2

48 is your answer

Answer:

para wala nang makasagot

Answers:

Expression 1 - Option 1

Expression 2 - Option 2

Expression 3 - Option 3

Answer:

5 sundaes

Step-by-step explanation:

find the GCF: 5

so 3x5 would be 15

15 mint.

25-15=10

10/2=5

boom

There are [tex]$5$[/tex] sundaes will be vanilla ice-cream.

Learn more about Probability

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

It is given that, there is [tex]$25$[/tex] sundaes with mint, chocolate and vanilla flavor ice cream out of these [tex]$\frac{3}{5}$[/tex] of the sundaes are mint flavor and [tex]$\frac{1}{2}$[/tex] are chocolate flavor.

We have to find the number for sundaes will be vanilla flavor ice-cream.

So,

We have to multiply [tex]$3$[/tex] by [tex]$5$[/tex] and solve it.

So,

[tex]$3\times 5=15$[/tex]

There are [tex]$15$[/tex] mints flavor.

Now,

Divide total number of sundaes with all flavor ice-cream by calculate value for mint.

We get,

[tex]$25-15=10$[/tex]

Multiply the above calculate value by no. of remaining sundaes for chocolate ice-cream.

So,

[tex]$10\times \frac{1}{2}=5$[/tex]

Hence, there are [tex]$5$[/tex] sundaes will be vanilla flavor ice-cream.

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