A person throws a shot put with an initial vertical velocity of 45 feet per second from a height of 6 feet. Use the vertical motion model, h = -16t^2 + vt+s where v is the initial velocity in feet per second and s is the height in feet, to calculate how long the shot put will be in the air for. Round your answer to the nearest tenth.

Answers

Answer 1

h = -16t^2 + vt+s

h= -16t^2 + 45*t + 6 (Replacing the values)

We need to calculate the vertex of the parabola.

The x-coordinate of the vertex would be:

Vx= -b/(2a) (Based on the equation ax^2+bx + c and t = x)

Vx= -45/(2*(-16)) (Replacing)

Vx= -45/-32 (Multiplying)

Vx= 1.4 (Dividing and using the sign rules)

Since x=t then we can say that the answer is equal to 1.4 seconds.


Related Questions

13. Vacation Kate is saving for a vacation in the Bahamas. On January 1,
she invested $750 at 8.2% per annum, Icompounded semi-annually. On
July 1, she invested another $750 at the same rate. How much will she have
from these investments on the next July 1st?

Answers

Answer:

I tried P as the Principle invested: 750, i, as the interest rate per compounding period = 8.2/100 = 0.082 n, number of compounding periods = 2, and t, time is 6 (6 months before July 1 from January 1?) Because I got 1931.03 and it's wrong:

Step-by-step explanation:

HELP QUICK ITS TIMEDDDD WILL GIVE BRAINLYIST
How many triangles are formed by drawing a diagonal from vertex A to all non-adjacent vertices in a regular octagon?



A. 6
B. 5
C. 4
D. 3

Answers

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24

Answers

The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.

--

Use this formula

b²-4ac

Plug in

You get 24

Answer:

24

Step-by-step explanation:

Discriminant

b² - 4ac   (when ax² + bx + c = 0)

Assuming the given equation is:   2x + 5x² = 1

Rewrite the equation so that it equals zero:

⇒ 5x² + 2x - 1 = 0

Therefore,  a = 5    b = 2    c = -1

Input these into the discriminant formula and solve:

⇒ 2² - 4(5)(-1) = 4 + 20

                      = 24

Therefore, the discriminant of the quadratice equation is 24.

Solve For X? I been stuck on this question..​

Solve For X? I been stuck on this question..

Answers

Answer:

Step-by-step explanation:

Solve For X? I been stuck on this question..

What are the answers to this?

What are the answers to this?

Answers

Answer:

u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.

Evaluate (−2)(−3)(−4)(−1)(−2)

Answers

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

6:___=9:12
Find the missing number of ratio

Answers

Answer:

8

Step-by-step explanation:

6:___=9:12

Find the missing number of ratio

6 : x = 9 : 12

x = 6 * 12 : 9

x = 8

----------------------------

check

6 : 8 = 9 : 12

0.75 = 0.75

the answer is good

the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading

Answers

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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FIND THE MISSING LENGTH.

FIND THE MISSING LENGTH.

Answers

Answer:

  x = 9

  x+7 = 16

Step-by-step explanation:

The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.

  long side/short side = (x+7)/12 = 12/x

  x(x +7) = 12²

  x +7x -144 = 0 . . . . . subtract 144 to put in standard form

  (x +16)(x -9) = 0 . . . . factor

  x = 9 . . . . . . only the positive solution is useful here

The missing lengths are ...

x = DC = 9x+7 = DA = 16

1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM

Answers

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

What is the mode of the following distribution: 8, 6, 5, 4, 1, 5, 3?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 repeats twice

the shadow of a statue is 20 feet long while the shadow of a student is 4ft long. if the student is 6ft tall how tall is the statue

Answers

Answer:

30 ft. tall

Step-by-step explanation:

ratio and proportion:

20 ft. long  =   4 ft. long

  x tall             6 ft. tall

4 (x) = 20 (6)

x = 120 / 4

x = 30 ft. tall

The percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer is y=-0.2x + 1. Graph the equation and use it to answer questions 1 and 2. a. What is the x-intercept? What does it represent? b. What is the y-intercept? What does it represent?c. After how many hours is the battery power at 75%d. what is the percentage of battery power remaining at 3 hours?

Answers

The percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer is given by

\(y=-0.2x+1\)

Let us graph the above equation

a. What is the x-intercept? What does it represent?

The x-intercept is the point where the line intersects the x-axis.

From the graph, we can see that the x-intercept is (5, 0)

The x-intercept represents that it takes 5 hours for the battery power to go to 0%

You can manually find out the x-intercept by substituting y = 0 into the given equation

\(\begin{gathered} y=-0.2x+1 \\ 0=-0.2x+1 \\ 0.2x=1 \\ x=\frac{1}{0.2} \\ x=5 \end{gathered}\)

Therefore, the x-intercept is (5, 0)

b. What is the y-intercept? What does it represent?

The y-intercept is the point where the line intersects the y-axis.

From the graph, we can see that the y-intercept is (0, 1)

The y-intercept represents that the battery power is 1 (100%) when x = 0 hours.

You can manually find out the y-intercept by substituting x = 0 into the given equation

\(\begin{gathered} y=-0.2x+1 \\ y=-0.2(0)+1 \\ y=1 \end{gathered}\)

Therefore, the y-intercept is (0, 1)

c. After how many hours is the battery power at 75%

We need to substitute y = 0.75 (that means 75%) into the equation to find out x (number of hours)

\(\begin{gathered} y=-0.2x+1 \\ 0.75=-0.2x+1 \\ 0.75+0.2x=1 \\ 0.2x=1-0.75 \\ 0.2x=0.25 \\ x=\frac{0.25}{0.2} \\ x=1.25\: \text{hours} \end{gathered}\)

Therefore, after 1.25 hours, the battery power is at 75%

d. what is the percentage of battery power remaining at 3 hours?​

We need to substitute x = 3 hours into the equation to find out y (remaining battery power)

\(\begin{gathered} y=-0.2x+1 \\ y=-0.2(3)+1 \\ y=-0.6+1 \\ y=0.4 \end{gathered}\)

Therefore, the remaining battery power is 40% after 3 hours.

The percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer

13. Find the value of x.
124
136
132
158
129
142
116
need ASAP!!

13. Find the value of x.124136132158129142116need ASAP!!

Answers

The Solution.

The sum of interior angles of a polygon is given by:

\(\begin{gathered} \text{Sum = (n-2)180} \\ \text{where n =number of sides} \end{gathered}\)

Substituting 6 for n in the formula above, we get

\(\begin{gathered} \text{Sum =(6-2)180} \\ \text{Sum = 4}\times180=720^o \end{gathered}\)

So,

\(\begin{gathered} 78+134+136+132+2x+x=720 \\ \text{collecting like terms, we get} \end{gathered}\)\(\begin{gathered} 480+3x=720 \\ 3x=720-480 \\ 3x=240 \\ \text{Dividing both sides by 3, we get} \\ x=\frac{240}{3}=80^o \end{gathered}\)

Thus, the correct answer is 80 degrees (option C)

prove that -
\( \sin {}^{2} (\theta) + \cos { }^{2} (\theta ) = 1\)

thankyou! ~​

Answers

Answer:

Depends.

If you defined \(cos\ \theta\) and \(sin\ \theta\) based on the unit circle, as in the coordinates of the point at a distance of \(\theta\) from the point \((1;0)\) measured counterclockwise along the circle, then. it's proven by the fact that since that points sit on a circle of center the origin and radius 1, it's coordinates needs to satisfy the equation \(x^2+y^2 = 1\).

If you define them based on right triangles, as in the ratios between adjacent (cosine) or oppsite (sine) sides and the hypotenuse, then it's simply applying the Pythagorean theorem. In particular let a be the hypotenuse of a right triangle of which one of the angles measures \(\theta\), let b the adjacent side to said angle, and c the opposite side.

By definition, \(\frac ba = cos\ \theta ; \frac ca = \sin\ \theta\). clearing denominators we get \(b= a\cdot\cos\ \theta; c= a\cdot sin\ \theta\), and applying the Pythagorean theorem:

\(a^2= b^2+c^2 = (a\cdot\cos\ \theta)^2 + (a\cdot sin\ \theta)^2\) And, taking the first and last step in this chain, dividing everything by \(a^2\) which is obviously non-zero we're left with \(1= cos^2\theta + sin^2\theta\), QED.

please help me
\(4 \sqrt{144a {12b {3}^{?} }^{?} } \)

please help me [tex]4 \sqrt{144a {12b {3}^{?} }^{?} } [/tex]

Answers

Answer:

option A

Step-by-step explanation:

144 = 4 * 4 * 3 * 3 = 2 * 2 * 2 *2 * 3 * 3 = 2⁴* 3²

a¹² = a⁽³ˣ⁴⁾ = (a³)⁴

\(\sqrt[4]{144a^{12}b^{3}} =\sqrt[4]{2^{4}*3^{2}*(a^{3})^{4}*b^{3}}\\\\=2*a^{3}\sqrt[4]{3*3*b^{3}}\\\\=2a^{3}\sqrt[4]{9b^{3}}\)

Help with the following equation 8x²-6x-5=x

Answers

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT

PLS HELP ME WITH THIS QUESTION PLSPLS SHOW YOUR WORKING OUT

Answers

A formula for y in terms of x and c is y = c⁵√x

How to determine the expression

In inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.

From the information given, we have that;

y ∝1/√x

Now, let's find the constant value, k, we have;

y√x = k

We have that their values are;

y = c⁴, x = c²

Substitute the values, we have;

c⁴√c² = k

k = c⁵

Now, substitute the values

y = k√x

y = c⁵√x

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The stem-and-leaf plots list the ages of the people in Lee’s study group and in Paul’s study group.

Which statement is NOT correct?

a. Paul’s group has a wider range of ages.

b. The data for Paul’s group has two modes.

c. The median age in both groups is 44 years.

d. The mean age in both groups is between 41 and 42 years.

The stem-and-leaf plots list the ages of the people in Lees study group and in Pauls study group.Which

Answers

The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

What is a stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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Express 900 as a product of its prime factors in index form. Write the prime factors in ascending factors.

Answers

Answer:

900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2

Step-by-step explanation:

900/2 = 450

450/2 = 225

225/3 = 75

75/3 = 25

25/5 = 5

5/5 = 1

900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2

Please help
Answer ​

Please help Answer

Answers

Answer:

STEP 3.) x = 9/8

Step-by-step explanation:

x + 5/8 = 7/4

x + 5/8 - 5/8 = 7/4 - 5/8

= x =9/8

Final question no more lives
who ever gives me correct answer will get brainliest

Final question no more liveswho ever gives me correct answer will get brainliest

Answers

The time take to fill the pool will be 494 hours.

How to calculate the Time

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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Help me please I need it done

Help me please I need it done

Answers

Answer:

see explanation

Step-by-step explanation:

A

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 8 ≈ 25.12 in

B

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 94.2 , then

2πr = 94.2 ( divide both sides by 2π )

r = \(\frac{94.2}{2(3.14)}\) = 15 cm

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

Four different paints are advertised as having the same drying time. To check the manufacturer's claims,

Eight decreased by three times the sum of a number and six

Write as an algebraic expression

Answers

8-3(x+6)

explanation:

it just makes sense lol but also bc “8 decreased by three” means “8 minus 3”

then “times” means “multiply”

then “a sum” means “addition”

then “a number” since we don’t know what a number is then we use “x”

“and” means “addition”

“a number and six” means “x+6”

0.045 × 2.05 /0.0025 leaving your answer in standard form​

Answers

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75+ years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude? Group of answer choices The data prove that, in the U.S., young men weigh about 4.9 kgs more on average than old men. The data suggest that young men weigh more on average than old men in the U.S., but that the difference in mean weights for the two groups is not statistically significant. The data provide strong evidence that young men weigh more on average than old men in the U.S. no conclusion is possible because we did not specify a significance level

Answers

Answer:

The data provide strong evidence that young men weigh more on average than old men in the U.S

Step-by-step explanation:

Given :

The null hypothesis ; H0 : μ1 = μ2

The alternative hypothesis ; H1 : μ1 > μ2

T score = 5.3 ; Pvalue = < 0.0001

The decision region :

If Pvalue < α ; We reject the Null

If Pvalue > α ; We fail to reject the Null

When the α - level isn't stated, we usually assume a α - level of 5%

However, even at lower alpha level of 1% = 0.01 ;

The Pvalue < α

Hence, we can conclude that there is significant evidence that there is difference in the mean weight of young men and old men in the U.S

the diagram shows the graph of the function y=(x-r)²+4, where r is a constant.

a) find the value of r​

the diagram shows the graph of the function y=(x-r)+4, where r is a constant.a) find the value of r

Answers

Answer:

d

Step-by-step explanation:

7. Alexis has 145 stickers. She wants to divide the stickers evenly among 5 of her friends. How
many stickers will each friend get?
Write your answer in the box.
stickers.
8. There are 2,472 seats in the school auditorium. The seats are divided into 6 equal sections.
How many seats are in each section? Write your answer in the box.
seats
Explain how you found your answer. Show your work.

Answers

Answer: 7: 29 stickers for each friend

8: 412 seats in each section

Step-by-step explanation:

We will have to divide 145 (stickers) by 5 (friends) to get 29

We will have to divide 2472 by 6 to get 412

7.) 145 ÷ 5 = 29 → Each friend will get 29 stickers

8.) 2,472 ÷ 6 = 412 → There are 412 seats in each second.

I divided for both problems using the long division method and multiplied which is the inverse operation, to check my work.

Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision

Expand and simplify x(3x + 5)-5(2x - 1) PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my

Answers

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

How to expand and simplify the expression

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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