Part 1 - ApplicationPhysics shows that when an object is thrown upward with an initial velocity of v then its approximate height is given by this quadratic function.s = − 4. 9t^2+ 2.8t + 15I need help putting this into vertex form by completing the square.

Answers

Answer 1

EXPLANATION

Since we need to find the vertex of the parabola, we first should calculate the params (h,k), as shown as follows:

\(h=-\frac{b}{2a}\text{ k=f(h)}\)

As the general form is as follows:

\(f(x)=ax^2+bx+c\)

We have that a=-4.9, b=2.8 and c=15

Computing the value of h:

\(h=-\frac{2.8}{2\cdot(-4.9)}\)

Multiplying numbers:

\(h=\frac{2.8}{9.8}=0.28571\ldots\)

Now, we need to compute the value of k:

\(k=-4.9\cdot\: 0.28571\ldots^2+2.8\cdot\: 0.28571\ldots+15\)

Multiplying numbers:

\(=-0.28571\ldots^2\cdot\: 4.9+0.8+15\)

Adding numbers:

\(=15.8-0.28571\ldots^2\cdot\: 4.9\)\(=15.8-0.4\)\(\mathrm{Subtract\: the\: numbers\colon}\: 15.8-0.4=15.4\)\(=15.4\)\(k=15.4\)

Therefore, the parabola vertex is (h,k) = (0.2857,15.4)

Thus, the equation of the parabola in vertex form is as follows:

\(f(x)=-4.9(x-0.2857)^2+15.4\)


Related Questions

8 meters for every 2inches what is the area of 144 meters squared

Answers

9514 1404 393

Answer:

  9 square inches

Step-by-step explanation:

The area is proportional to the square of the linear scale factor. We can use this to write the proportion ...

  A/(144 m²) = ((2 in)/(8 m))²

  A = (144·4/64) in² = 9 in²

The area representing 144 square meters is 9 square inches.

Solve: 5 + n > 2

Just let me know because I am stuck and need to know the answer for this test please let me know thank you ❤️

Answers

\(\\ \sf\longmapsto 5+n>2\)

We have to find n Take 5 to right side sign will be changed

\(\\ \sf\longmapsto n>2-5\)

Simplify

\(\\ \sf\longmapsto n>-3\)

Solve this equation h + 17 = 40

Thanks!

Answers

Answer:

H= 40-17

H= 53

Therefore, h=23

Answer:

h=23

Step-by-step explanation:

Since h plus 17 is equal to 40, h needs to be a number that adds to 17 to get 40. Therefore, you can subtract 17 from 40 to get 23. If you add it into the equation you get 23+17=40 which is correct.

suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work

Answers

a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b.   the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.

To estimate the probability that a randomly selected house  has a value less than $500,000:

P( x < 500,000)=P(x=0)+P(x=500)

=0.34+0.37+

=0.71

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b. -since 40 is larger than or equal to 30, we assume a normal distribution.

-The probability can therefore be calculated as:

P(x')=P( z < (x' -u)/σ.sqrt(n)))

P(z< (500-403)/(578sqrt(40)))

=P(z<2.2068)

=0.986336

Hence, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

The complete question is -

a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.

(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.

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suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean

A punch bowl contained 2 liters of ginger
ale, 1 liter of orange juice, and 1 liter of
raspberry juice. Select all the true
statements.

Answers

Answer:

C and E are true

Step-by-step explanation:

Statements:

A. The ratio of ginger ale to the entire punch bowl is 1 to 4

False. Correct answer is 2 to 4

B. The ratio of orange juice to ginger ale is 2 to 2

False. Correct answer is 1 to 2

C. The ratio of juices to the ginger ale is 2 to 2

True

D. The ratio of the entire punch bowl to the juices is 2 to 4

False. Correct answer is 4 to 2

E. The ratio of the orange juice to the raspberry juice is 1 to 1

True

Answer:

Showing results for plants

Search instead for plsntd

Map of plants

Burson Feed & Seed Inc

4.7  

(26) · Garden center

124 Rome St

Open ⋅ Closes 5PM · (770) 832-6252

Sold here: plants

Pat's Place

3.3  

(3) · Garden center

60 Old Airport Rd

Open now · (770) 836-0597

Sold here: plants

Garden Center at The Home Depot

5.0  

(2) · $ · Garden center

1332 S Park St

Open ⋅ Closes 9PM · (770) 832-1796

Step-by-step explanation:

The area of the parallelogram

The area of the parallelogram

Answers

Answer:

28

Step-by-step explanation:

a = b * h

a = 4 * 7 = 28

Graph a right triangle with the points (-6, 4) and (-9,8) forming the hypotenuse. Using the sides, find the
distance between the two points in simplest radient form.

Answers

Answer:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-4,3) and (-8, -1) *Click twice to draw a line. Click a segment to erase it." 30 4 -10 - -6-5-43 -8 This problem has been solved!

Step-by-step explanation:

What number is 0.1 less than 173.89

Answers

Answer:

173.79

Step-by-step explanation:

173.89 - 0.1 you move to the decimals place then remove that number once

The number 173.79 is 0.1 less than 173.89

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find how less is 0.1 than 173.89

In words zero point one is less than One hundred seventy three point eight nine.

To find this we have to use subtraction operator or difference.

Subtraction is an operation that represents removal of objects from a collection

Subtract 0.1 from 173.89

173.89-0.1

We get 173.79

Hence, the number 173.79 is 0.1 less than 173.89

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The original price of a bicycle is $129. The sale price is 80% off of the
original price. What is the amount off of the original price?

Answers

Answer:

$103.20

Step-by-step explanation:

You need to figure out what 80% of 129 is, and all you need to do that is 80% x 129, which would get you 103.2. It is $103.20 off the original price.

The distance between Lon
Cardiff is 150 miles.
) What is this distance in k
I
kilo

Answers

Answer:

241.5 km

Step-by-step explanation:

The distance between London and Cardiff in kilometres is 241.5 km

please help here I dont now how to solve this problem

please help here I dont now how to solve this problem

Answers

Answer:

Explanation:

Given:

To find:

The correlation coefficient

Let's go ahead and find the mean of x-values;

\(\begin{gathered} \bar{X}=\frac{18+20+22+25+31+35+38+40+50}{9}=\frac{279}{9}=31 \\ \therefore\bar{X}=31 \end{gathered}\)

Let's go ahead and find the mean of the y-values;

\(\begin{gathered} \vec{Y}=\frac{14+14+12+11+10+10+9+9+8}{9}=\frac{97}{9}=10.78 \\ \vec{Y}=10.78 \end{gathered}\)

Let's find the standard deviation of X using the below formula;

please help here I dont now how to solve this problem

Find the product of ¾ and 1⅓ a)0 (b)1 (c)12 (d)1⁵/7​

Find the product of and 1 a)0 (b)1 (c)12 (d)1/7

Answers

The value of the product of the number as given in the task content is; Choice B; 1.

What is the value big the product of the values; ¾ and 1⅓?

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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How do you graph a system of linear inequalities?

Answers

Making a graph of linear inequalities is similar to making a graph of linear equations. But with inequalities, we find a region instead of a line.

What is linear inequality?

Linear inequalities are mathematical statements that are made up of two expressions which are compared using inequality symbols.

The following steps are to be followed to make a graph of linear inequality:-

1. Solve the inequality for y.

2. Considering the inequality as a linear equation graph the line. ( If the inequality sign does not contain an equal sign then draw a dashed line; if the inequality contains an equal sign then draw a solid line.

3. Shade the region that satisfies the inequality.

Hence, a system of linear inequality is graphed similarly to that of a linear equation, but a region is obtained.

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What is the m<3?
m<3 =

What is the m&lt;3?m&lt;3 =

Answers

Answer:

105°

Step-by-step explanation:

< 3 = 50° + 55° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

<3 = 105°

Here is a list of ages (years) of children in a room: 2, 6, 5, 9, 6, 7, 2 State the median.

Answers

The median is 9 bc it’s in the middle

using the data on this scatter plot ​

using the data on this scatter plot

Answers

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23

Answers

Answer:

(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23       Step-by-step explanation:  if you do 8x1=8 5x3=15  

8+15=23

Find the sum of the first 8 terms of the fallowing sequence?

3,15,75,375 …

Answers

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1

Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?A4/1B3/1

Answers

Answer:

d) 1/12

Step-by-step explanation:

S o me one help me on this please Nd thank you don’t send me no link

S o me one help me on this please Nd thank you dont send me no link

Answers

Answer:

f(x) = 15 (3) ^x

Step-by-step explanation:

The form of an exponential function is

y = a b^x

a is the initial value  so a = 15

y = 15 b^x

b > 1 when there is growth so

f(x) = 15 (3) ^x

may u plz help me.....

may u plz help me.....

Answers

Hundredths I think,,,,

Answer:

the 3 is in the hundredths place

Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths  

5x1 dose any of the boys remember the feeling of being the last alive in a halo reach match

Answers

Answer: lol yes sucks

Step-by-step explanation:


One cell phone company offers a plan that costs $29.99 and includes unlimited night and weekend
minutes. Another company offers a plan that costs $12.99 and charges $0.35 per minute during nights
and weekends. For what numbers of night and weekend minutes does the second company's plan cost
more than the first company's plan?

Answers

Answer: 49.

It's 49 minutes

Step-by-step explanation:

I don't feel like explaining. It's 49 minutes.

Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?

please answer asap

Answers

Key IdeasWord problemsSolving with fractions

Solving the Question

We're given:

9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate sold

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

Answer

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

At the start of a game of marbles, Peter and Jack had 160 marbles in all. In the first round, Peter lost 3/5 of his marbles to Jack. In the second round, James lost 3/7 of his marbles to Peter. At the end of the second round of the game, they had the same number of marbles. How many marbles did each of them have at first?

Answers

Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Compare the best estimate for 1.789/178 and 0.05. Which is less?

Answers

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

If you double a number and then add 28 ​, you get 4/9
of the original number. What is the original​ number?

Answers

Answer: -124/9 or -13.778

Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).

If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.

We have now built an algebraic equation for X. We can now simply solve for X.

2X + 28 = 4/9

2X + 252/9 = 4/9   Rewrite 28 as 252/9 so we have common denominators

2X = -248/9            Subtract 252/9 from both sides

X = -124/9               Divide by 2 on both sides and we get X

Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.

Hope this helps!

In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.

a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.

1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias

b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?

1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias

c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?

1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample

Answers

hii please mark me brainliest ?!

Please help I am struggling bad with this question thank you all

Please help I am struggling bad with this question thank you all

Answers

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.

Answers

3.25 pounds per week
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