A baseball is hit and its height at different one-second intervals is recorded (See attachment)

A Baseball Is Hit And Its Height At Different One-second Intervals Is Recorded (See Attachment)

Answers

Answer 1

Answer:

[tex]h(t)[/tex] is likely a quadratic function.

Based on values in the table, domain of [tex]h(t)[/tex] : [tex]\lbrace 0,\, 1,\, 2,\, 3,\, 4,\, 5,\, 6,\, 7,\, 8\rbrace[/tex]; range of [tex]h(t)\![/tex]: [tex]\lbrace 0,\, 35.1,\, 60.1\, 75.2,\, 80.3,\, 75.3,\, 60.2,\, 35.0 \rbrace[/tex].

Step-by-step explanation:

By the power rule, [tex]h(t)[/tex] is a quadratic function if and only if its first derivative, [tex]h^\prime(t)[/tex], is linear.

In other words, [tex]h(t)[/tex] is quadratic if and only if [tex]h^\prime(t)[/tex] is of the form [tex]a\, x + b[/tex] for some constants [tex]a[/tex] and [tex]b[/tex]. Tables of differences of [tex]h(t)\![/tex] could help approximate  whether [tex]h^\prime(t)\![/tex] is indeed linear.

Make sure that values of [tex]t[/tex] in the first row of the table are equally spaced. Calculate the change in [tex]h(t)[/tex] over each interval:

[tex]h(1) - h(0) = 35.1[/tex].[tex]h(2) - h(1) = 25.0[/tex].[tex]h(3) - h(2) = 15.1[/tex].[tex]h(4) - h(3) = 5.1[/tex].[tex]h(5) - h(4) = -5.0[/tex].[tex]h(6) - h(5) = -15.1[/tex].[tex]h(7) - h(6) = -25.2[/tex].[tex]h(8) - h(7) = -35.0[/tex].

Consecutive changes to the value of [tex]h(t)[/tex] appears to resemble a line with slope [tex](-10)[/tex] within a margin of [tex]0.2[/tex]. Hence, it is likely that [tex]h(t)\![/tex] is indeed a quadratic function of [tex]t[/tex].

The domain of a function is the set of input values that it accepts. For the [tex]h(t)[/tex] of this question, the domain of [tex]h(t)\![/tex] is the set of values that [tex]t[/tex] could take. These are listed in the first row of this table.

On the other hand, the range of a function is the set of values that it outputs. For the [tex]h(t)[/tex] of this question, these are the values in the second row of the table.

Since both the domain and range of a function are sets, their members are supposed to be unique. For example, the number "[tex]0[/tex]" appears twice in the second row of this table: one for [tex]t = 0[/tex] and the other for [tex]t = 8[/tex]. However, since the range of [tex]h(t)[/tex] is a set, it should include the number [tex]0\![/tex] only once.


Related Questions


The C Train travels north at a rate of 80 miles per hour. The D Train travels east
at a rate of 150 miles per hour. How far apart will they be after 4 hours?
600

Answers

80(4)=320
150(4)=600
320+600=920 miles

I need help k please help gardinuhola

Answers

Answer:

Step-by-step explanation:

for circle

diameter = 26 cm

radius = diamtere/2

=26/2

=13 cm

area of circle  = πr^2

=3.14^13^2

=3.14*169

=530.66 cm^2

=531 cm^2   (after round off )

area of square= l^2

=5.1^2

=26.01 mi^2

are of rectangle = l *b

=6*5.1

=30.6 m^2

area of triangle = base*height / 2

=9*6.4 / 2

=57.6 / 2

=28.8 yd^2

1)
Ay
X
1
A)
Nin
B) -2
2
C)
D) 2.
2

Answers

Answer:

A) -1/2

Step-by-step explanation:

the slope is defined by the ratio of y/x.

that means that for a change of a certain number of units in x, y changes this number of units.

e.g. a slope of 5/3 means, if x changes by 3 units, y changes by 5.

the graphic shows a line that goes "down" with increasing x.

that means the slope is negative.

that eliminates C and D.

and we see that when x increases by 2 units, y decreases by 1 unit.

that means the slope is -1/2.

Solve each system of equations by substitution. 4y=3x+6 2y=x+8

Answers

Answer:

Step-by-step explanation:x=2y-8

4y=3.(2y-8)+6

4y=6y-24+6

4y-6y=-24+6

-2y=-18

Y=9

X=2Y-8

x=2.9-8=10

Explain how you can use fraction strips or number lines to show that three fourths and six eighths are equivalent. plsssssss

Answers

Mark Brainliest please

Answer :

Refer to the fraction strip to show 3/4 & 6/8 are same.

Also if you reduce 6/8 by dividing 2 to numerator & denominator… it’s 3/4.

The solution is given below.

What is number line?

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

Refer to the fraction strip to show 3/4 & 6/8 are same.

Also if you reduce 6/8 by dividing 2 to numerator & denominator

it’s 3/4.

The solution is attached below.

To learn more on number line click:

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15
Type the correct answer in each box. If necessary, round your answer(s) to the nearest hundredth.
The vertices of ABC are Al-2, 2), B6, 2), and 90, 8). The perimeter of ABC is
units, and its area is
square units.

Answers

9514 1404 393

Answer:

perimeter: 22.81 unitsarea: 24 square units

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Giving brainliest There are 12 inches in 1 foot. This is equivalent to 60 inches in 5 feet. Which proportions can be used to represent this? Check all that apply.

StartFraction 12 over 1 EndFraction = StartFraction 5 over 60 EndFraction


StartFraction 12 over 1 EndFraction = StartFraction 60 over 5 EndFraction


StartFraction 1 over 12 EndFraction = StartFraction 5 over 60 EndFraction


StartFraction 1 over 12 EndFraction = StartFraction 60 over 5 EndFraction

Answers

Answer:

12/1=60/5

1/12=60/5

Answer:

B and C

Step-by-step explanation:

What is the value of (-3 + 31) + (-2+31)?

Answers

Answer:

57

Step-by-step explanation:

31-3=28

31-2=29

28+29=57

-3+31-2+31= 57

Best of wishes!!

Will mark brainliest if CORRECT

Answers

the answer is B changes everyday correct me if im wrong

0.7(1.5 + y) = 3.5y - 1.47

Answers

Answer:

y = 0.9

Step-by-step explanation:

1.05 + 0.7y = 3.5y - 1.47

-3.5y + 0.7y = -1.47 - 1.05

-2.8y = -2.52

y = 9/10 = 0.9

Answer:

[tex]\textbf{HELLO!!}[/tex]

[tex]0.7\left(1.5+y\right)=3.5y-1.47[/tex]

[tex]1.05+0.7y=3.5y-1.47 \gets \textsl{Expand}[/tex]

[tex]1.05+0.7y-1.05=3.5y-1.47-1.05 \gets Subtract\; 1.05 \from\:both\:sides[/tex]

[tex]0.7y=3.5y-2.52[/tex]

[tex]0.7y-3.5y=3.5y-2.52-3.5y[/tex]

[tex]\mathrm{Subtract\:}3.5y\mathrm{\:from\:both\:sides} \nwarrow[/tex]

[tex]-2.8y=-2.52[/tex]

[tex]\frac{-2.8y}{-2.8}=\frac{-2.52}{-2.8} \hookleftarrow \mathrm{Divide\:both\:sides\:by\:}-2.8[/tex]

[tex]\boxed{\boxed{\underline{\textsf{\textbf{y=0.9}}}}}[/tex]

[tex]\bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet[/tex]

[tex]\textbf{HOPE IT HELPS}[/tex]

[tex]\textbf{HAVE A GREAT DAY!!}[/tex]

Ivan runs a cake shop. Renting the
shop costs him $1600 per month,
and he makes a profit of $16 on each
cake he sells. Ivan wants a profit of at
least $2000 a month.

Answers

He’s gotta sell atleast 125 cakes
He’s gotta sell 125 cakes

Tanisha has 7 less than 4 times as many toy cars as Fernando. If Tanisha has 9 cars, how many cars does Fernando have?
1
c. 2
b. 4
d. 14
a.
Help

Answers

9+7=16
16x4=64
Fernando has 64 toy cars

Answer:

4

Step-by-step explanation:

T = 9

T = 4F - 7

9 = 4F - 7

16 = 4F

F = 4

Tom went to bed at 8.30 pm and woke up at 6.15 am the next day . How long did he sleep ?

Answers

Answer:

tom sleep 14hour my ans lt might help you

9 hours and 45 minutes

The coeffcient of determination is the ratio of the explained variation to the total variation. A. The coefficient of determination is the ratio of the unexplained variation to the total variation. B. The coefficient of determination is the ratio of the total variation to the unexplained variation. C. The coefficient of determination is the ratio of the total variation to the explained variation. D. The coefficient of determination is the ratio of the explained variation to the total variation. Choose the correct answer below. A. The coefficient of determination is a measure of how closely two variables vary together. B. The coefficient of determination is the percent of the variation that is unexplained. C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. D. The coefficient of determination is the percent of the predicted values that equal the actual data values. Choose the correct answer below. A. The value 1r is a measure of how closely two variables vary together. B. The value 1r is the percent of the predicted values that equal the actual data values. C. The value 1r is the percent of the variation that is unexplained. D. The value 1r is the percent of variation of y that is explained by the relationship between x and y.

Answers

Answer:

D. The coefficient of determination is the ratio of the explained variation to the total variation.

C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y

Step-by-step explanation:

The Coefficient of determination is the ratio of the explained variation in y to the total variation in y.

Coefficient of determination, r² ;

r² = explained variation / total variation

The coefficient of determination is the proportion of variation in y (predicted value) which is due to the regression line ; Hence, it is the percent of variation of y that is explained by the relationship between x and y.

What is 3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4)) written as a single logarithm?
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)

Answers

Answer:

A i think

Step-by-step explanation:

edge 2021

The simplified expression is - f(x) = [tex]log_{2} (\frac{x^{3} (x+4)}{3}})[/tex]

We have the following statement -

3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4))

We have to convert it into Single logarithm.

What is Logarithm?

Logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

[tex]log_{b} (b^{x} ) = x[/tex]

According to the question, We can write the given statement in the mathematical form as follows -

f(x) = [tex]3\;log_{2} (x )-[log_{2} (3) -log_{2} (x+4)][/tex]

Using the property of logarithm -

log (A) - log(B) = log ([tex]\frac{A}{B}[/tex]), we get -

f(x) = [tex]3\;log_{2} (x )-log_{2} (\frac{3}{x+4} )[/tex]

Using the property of logarithm -

[tex]a\;log (b) = log(b^{a})[/tex]

f(x) = [tex]log_{2} (x^{3} )-log_{2} (\frac{3}{x+4} )[/tex]

f(x) = [tex]log_{2} (\frac{x^{3}}{\frac{3}{x+4}} )[/tex]

f(x) = [tex]log_{2} (\frac{x^{3} (x+4)}{3}})[/tex]

Hence, the simplified expression is - f(x) = [tex]log_{2} (\frac{x^{3} (x+4)}{3}})[/tex]

To solve more questions on logarithms, visit the link below -

https://brainly.com/question/15449901

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Which two graphs can be combined to represent 140% HELP PLEASE

Answers

Answer:

Step-by-step explanation:

Since all the grids have 100 squares, which grid has all squares shaded? And which grid has 40 (4 columns) shaded? This add up to 100+40=140. The answer, of course, is C+D (last answer). None of the others have enough shaded squares

The average age of the 12 people in a classroom is 10. After Ms. Xu walks into the room,
the average age of everyone in the classroom increases to 12. How old is Ms. Xu?

Answers

Answer:

24

Step-by-step explanation:

First: 12*10=120

Then: 12*12=144

=> Ms. Xu's old: 144-120=24

Dennis walks from (–5, –2) to (–5, 5) on the map. Which expression represents the distance that he walked? |-2| + |5| |-5 + 5| |-2| - |5| |-5| + |-5|

Answers

Answer:

|-2| + |5|

Step-by-step explanation:

Dennis walks from (–5, –2) to (–5, 5) on the map.

Point on the format (x,y). On the x-coordinate, he stayed at the same position, x = -5, so it does not enter the distance calculation.

On the y-coordinate, he went from -2 to 5, so the distance is of:

[tex]d = 5 - (-2) = 5 + 2 = |5| + |2| = |5| + |-2| = 7[/tex]

So the correct option is |-2| + |5|

=
SYSTEMS
Solving a value mixture problem using a system of linear...
Somel
A delivery truck is transporting boxes of two sizes: large and small. The combined welght of a large box and a small box is 85 pounds. The truck is transporting
70 large boxes and 50 small boxes. If the truck is carrying a total of 5350 pounds in boxes, how much does each type of box weigh?

Answers

9514 1404 393

Answer:

large: 55 lbsmall: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

how many terms are in this expression 8+(10-7)​

Answers

Answer:

the perdom

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Which of the following is a solution of y > |x| - 5?

Answers

Answer:

download gauthmath it will help you answer this

I made a fort by two boxes. The first box is 4 meters long, 8 meters wide, and 8 meters high. The second box is 2 meters long, 7 meters wide, and 1 meter high. How many cubic meters of space does my fort have?​

Answers

Answer:

242 m³ of space is there in the fort.

Step-by-step explanation:

Given that,

The dimensions of first box is 4 meters long, 8 meters wide, and 8 meters high.

The dimensions of the second box is 2 meters long, 7 meters wide, and 1 meter high.

Space left = Volume of first box - volume of second box

= (4)(8)(8) - 2(7)(1)

= 242 m³

So, 242 m³ of space is there in the fort.

Annabelle is going to see a movie and is taking her 4 kids. Each movie ticket costs $and there are an assortment of snacks available to purchase for $3 each. How much total money would Annabelle have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Annabelle have to pay if she bought x snacks for everybody to share?
Cost for 6 snacks:
Cost for x snacks:

Answers

Answer:

(a) $83 for 6 snacks

(b) [tex]y = 65 + 3x[/tex] --- for x snacks

Step-by-step explanation:

Given

Let:

[tex]n \to people[/tex]

[tex]ticket =\$13[/tex] --- per individual

[tex]snacks = \$3[/tex] --- per individual

Solving (a): Amount for 6 snacks

The amount paid (y) is:

[tex]y = ticket * n + snacks * 6[/tex] ---- because she bought 6 snacks

[tex]y = 13 * n + 3 * 6[/tex]

[tex]y = 13n + 18[/tex]

[tex]n = 5[/tex] ---- Annabelle and the 4 kids.

So:

[tex]y =13*5+18[/tex]

[tex]y =65+18[/tex]

[tex]y =83[/tex]

Solving (b): For x snacks

The amount paid (y) is:

[tex]y = ticket * n + snacks * x[/tex] ---- because she bought x snacks

[tex]y = 13* 5 + 3* x[/tex]

[tex]y = 65 + 3x[/tex]

4(2x + 3) ÷ 5y
The expression above provides an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

Answers

Answer:

8xy+12y/5

Step-by-step explanation:

write the division as a fraction

4(2x+3)/5 y

Calaucte the product

4y(2x+3)/5

Distbtute 4y through the parentheis  

8xy+12y/5

which gives you 8xy+12y/5

Which is the graph of f(x) = 2 (4)?
5
40.4)
404)
4
(4,4)
3
3
3 2
2
2
2
(2.1)
6,2)
1
5 -4 -3 -2 -14
1
3
4
-5 4 -3 -2 -14
234
-5 6 -3 -2 -14
2
3
4
5
X
-2
-2
نا دیا
-3
-3
4
W4
-5
5
Tu
5
4
(
24)

Answers

Answer:

The Third one

Step-by-step explanation:

Your Welcome :)

Graph of the function is attached below.

Correct option is D.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = (1/4)4ˣ

exponential function is defined for x∈R

Putting x = 0

f(0) = (1/4)4⁰

f(0) = 1/4

Point on curve is (0,1/4)

Putting x = 1

f(1) = (1/4)4¹

f(1) = (1/4)4

f(1) = 1

Point on curve is (1,1)

Putting x = 2

f(2) = (1/4)4²

f(2) = (1/4)16

f(2) = 4

Point on curve is (2,4)

Putting x = 3

f(3) = (1/4)4³

f(3) = (1/4)64

f(3) = 16

Point on curve is (3,16)

Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.

Hence, graph of the function is drawn as follows.

Learn more about exponential function here:

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Pls help ASAP pleases

Answers

Answer:

I think B

Step-by-step explanation:

The number 0.2 can be written as 2/10 so it is a rational number

Answers

Yes it can be I think

Calculate the remaining values: de a y b​

Answers

Step-by-step explanation:

of what ? there is nothing here to work with.

be a little bit more careful to at least understand the meaning of the problem, Ame what is given to you written with to solve the problem. because we here also need that information. we would need to read in a Crystal ball what your teacher wants from you, if you don't give us that information.

and I am good but not that good ...

Help me if you don't know, don't touch it please

Answers

Answer:

V≈718.38 cm cubed

What is the product of 5.2×104 and 1.3×10-2?

Answers

Answer:

551.8

Step-by-step explanation:

5.2\times 104 is 540.8

1.3\times 10-2 is 11

540.8 + 11 =551.8

Answer:

The answer is 676.

Step-by-step explanation:

I think you mean 5.2 multiplied by [tex]10^{4}[/tex], and 1.3 multiplied by [tex]10^{-2}[/tex].

Or do you mean 5.2 multiplied by 104 and 1.3 multiplied by 10 then subtract 2? Not really clear, but I'm going to go with the first option.

5.2 * [tex]10^{4}[/tex] = 52,000

1.3 * [tex]10^{-2}[/tex] = 0.013

52,000 * 0.013 = 676

The answer is 676.

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