The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second

 The Polynomial - 16t+ Vt +s, Represents The Height (in Feet) Of An Object, Where V Is Theinitial Vertical

Answers

Answer 1

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

Answer 2

The height of the object after 1 second is 229 feet.

It is required to find the height of the object after 1 second.

What is polynomial?

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,

where

v is the initial vertical velocity (in feet per second),

s, is the initial height of the object (in feet),

t is the time in seconds.

We are given;

v(o) = 45 ft/s

s(o) = 200 ft

According to given question we have,

Thus, polynomial that represents the height is;

h(t) = -16t² + vt+ s,

After a time of 1 second, height is;

h(1) = -16(1)² + 45*1+ 200

h(1) =-16+45+200

h(1) =229 feet

Therefore, the height of the object after 1 second is 229 feet.

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Related Questions

PLEASE HELPPP MEE !!

Answers

Answer:

that box in the corner of the angle represents 90°

90° is also known as a right angle

Subtract 90° from 37°.

You should come up with 53°.

Please, please, please, please help

Answers

Answer:

27

Step-by-step explanation:

18/10 = X/12 Solve x.

Answers

Answer:

X = 180/5

Step-by-step explanation:

Hope this helps! :)

Best of luck!

X^2- 2x - 54 = 0



I need the answer for this please

Answers

x = -6, 8

Find the values of x by factoring, getting

(x - 8)(x + 6) = 0

Answer:

x = -6, 8

Step-by-step explanation:

-6x-(-8)=2
step by step

Answers

Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

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

Checking:

Equation/Question:

−6x−(−8)=2

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

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312​

Answers

Answer:

1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.

Square the equality √2 + √3 = r − √5 to obtain 5 + 2

√6 = r2 + 5 − 2r

√5. It follows

that 2√6 + 2r

√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r

√30

is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is

irrational can now be applied to show that this is not true. Write √30 = m

n in lowest

terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because

2( m

2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest

terms, a contradiction. We conclude that the initial assumption was false, and therefore

√2 + √3 + √5 is irrational.

Step-by-step explanation:


One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.

Answers

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

RJ's recipe for cupcakes calls for sugar, flour, and milk in the ratio of 3:4:2. If a batch of
cupcakes contains 12 tablespoons of flour, how many tablespoons of sugar does it contain?
A) 9 tablespoons
B) 6 tablespoons
C) 10 tablespoons
D) 15 tablespoons

Answers

The answer is C 10 tablespoons
The answer is C 10 tablespoons

A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.

The explicit rule for the geometric sequence is:

Answers

Answer:

nth term = 1000×1.2ⁿ⁻¹

Step-by-step explanation:

The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

What is a geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,

Therefore,

a₄ = 1728 and a₂ = 1200

We have two terms of the GP, therefore, finding r,

r² = 1728 / 1200 = 1.44

r = 1.2

Therefore,

a₁ = a₂r¹⁻²

= 1200r⁻¹ = 1200/r

= 1200 / 1.2 = 1000

Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹

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Write the equation of the line, in slope intercept form, through the following two points.

Answers

Answer:

y=[tex]\frac{5}{8}x[/tex]

Step-by-step explanation:

So in this equation you have to do this with the points to get the slope

M= [tex]\frac{y2-y1}{x2-x1}[/tex]

M is the slope so using this eqaution will give you the equation.

You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?

Answers

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract:                                                                                              [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify:                                                                                                [tex]\displaystyle m=\frac{1}{3}[/tex]

What transformation is happening?

Answers

Answer:

Reflection and Dilation

Step-by-step explanation:

These two make the most sense for this.

Hope it helps and is correct!

A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.

How high off the ground is the top of the monument?

Please help

Answers

Answer:

65 meters

Step-by-step explanation:

The height of the monument off the ground = x + 5

Find x using Pythagorean Theorem:

x = √(61² - 11²)

x = √3,600

x = 60 meters

Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters

Answer: 65

Word Problem:  A Monument in the shape of a right triangle sits on a            rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.

Question: How high off the ground is the top of the monument?

In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.

Answers

If I’m right a triangle = 180, so 104+32 = 136. Now 180-136=44 if it’s not a answer just redo my math because at the moment I have no paper.

Which arithmetic sequence has a common difference of -21?
{1,245; 1,224; 1,203; 1,182; …}
{32, 20, 8, -4, …}
{873, 894, 915, 936, …}
{1,563; 1,587; 1,611; 1,635; …}

WILL GIVE BRAINLIEST!!!!

Answers

Answer:

first one

just subtract 21 from each number

Answer:

C - {873, 894, 915, 936, …}

Step-by-step explanation:

Difference means subtraction. So, subtract -21 from the number to get your next value.

1245 - (-21) = 1266 So, A is not the answer

32 - (-21) = 53 So, B is not the answer.

873 - (-21) = 894 So, C is the answer.

1563 - (-21) = 1584 So, D is not the answer.

To double check, subtract -21 from the other numbers too.

873 - (-21) = 894

894 - (-21) = 915

915 - (-21) = 936

and so on...

This matches up with the list of numbers on option C so it it correct.

I hope this helps you Cheers!

simplify 28-(8+3)X(4-2)

Answers

Answer:

4

Step-by-step explanation:

hope it helps you in some way

simplify 28-(8+3)X(4-2)

Answer:

The answer is in the picture above:)

Step-by-step explanation:

1st, Add the number (calculate) result is 28-11x×(4-2) And Subtract the number the result is 28-11x×2. 2nd, use the commutative property to reorder the terms the result is 28-2×11x

Hope it helps:)

The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?

Answers

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm

1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??

Answers

Answer:

The 5 bags of pretzels.

Step-by-step explanation:

Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00

Answer:

The second option

Step-by-step explanation:

In order to find the unit price of each, consider the quotient of amount of money per bag:

Case 1:

$4/ 1 bag

Case2:

$12 / 5 bags = $2.4 / 1 bag

Therefore, the second option is the one with lower unit price.

Sam the jeweler bought 126 beads and 36 strings from a shop. He wants to make a certain
number of necklaces using the same combination of beads and the strings, with no
pieces left over. What is the greatest number of necklaces Sam can make?

Answers

Answer:

n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and  Rochelle has invested $2500 in a jewelry making kit.

Step-by-step explanation:

what is a - 2b = -10 for b

Answers

Answer:

b=5

Step-by-step explanation:

Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The unknown measures 40

Step-by-step explanation:

Use the proportion that derives from the properties of parallel lines intersected by common transversals:

X/24 = 25/15  and solve for x

x = 25 * 24 / 15

x = 40

Your parents traveled 300 miles and used 15 gallons of gas. How many miles can your parents
run on 1 gallon of gas? *
300 miles
200 miles
40 miles
20 mies

Answers

I don’t know but I need points so I’m just typing this

Step-by-step explanation:

20 miles.

what you need to do to find out is:-

just divide them

300÷15

have a good day :)

Please can someone work out BOTH PLS PLS ! I have only 5 mins till I had it in. 10 point!!!!

Answers

Answer:

after 15 it goes like:

72

132

238

153

50?

mean = 132

Step-by-step explanation:

You have two shapes - two identical isosceles triangles and a rectangle.
The area of a rectangle is base x height
The area of the two triangles is 2 x [(base x height*)/2]

12cm x 5cm = 60cm2
2 x (12cm x 4cm)/2) = 2 x (48cm2/2) = 2 x 24cm2 = 48cm2

60 + 48 = 108cm2

base or rect - 12cm
base of triangle - 12cm
height of rect - 5cm
height of triangle - 13cm - 5cm = 8cm /2 = 4cm for each triangle

Find the length of the third side. If necessary, round to the nearest tenth.
15
8.

Answers

Answer:

The third side is 17

Step-by-step explanation:

To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17

David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?

Answers

Answer:

David share is 36 sweets

Step-by-step explanation:

let Lucy share be x

let David share be y

Lucy has 27 more

x=y+27

total sweet is x+y

y+27 +y= 2y+27

total ratio = 4+7=11

David share=

[tex]y = \frac{4}{11} \times (2y + 27)[/tex]

[tex]11y = 4(2y + 27)[/tex]

[tex]11y = 8y + 108[/tex]

[tex]11 y- 8y = 108[/tex]

[tex]3y = 108[/tex]

y=108/3= 36

50 POINTS TO CORRECT ANSWER otherwise will be reported:
A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?

a)215
b)360
c)2992
d) 3195
e) 3242

Answers

9514 1404 393

Answer:

  d)  3195

Step-by-step explanation:

The distances traveled make an arithmetic series, the sum of which is given by ...

  Sn = (2·a1 +d(n -1))(n/2)

This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...

  S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195

The cart travels 3195 inches.

two friends are collecting stuffed animals Veronica has 5 more than double the number of stuffed animals as their friend Marissa together they have 32 stuffed animals if M represents the number of stuffed animals Marissa has write an equation to represent the number of Veronica stuffed animals​

Answers

Answer:

M x 2 + 5 = 32

Step-by-step explanation:

hope this helped if so please press the pink "thanks" button

what is 452÷6 in long division​

Answers

Answer: 75.333333...

Step-by-step explanation: Might want to round that number to the nearest tenths. This number is a repeating digit.

Here we will show you step-by-step with detailed explanation how to calculate 452 divided by 6 using long division.

Before you continue, note that in the problem 452 divided by 6, the numbers are defined as follows:

452 = dividend

6 = divisor

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 452 on the right side like this:

6 ⟌ 4 5 2

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

0

6 ⟌ 4 5 2

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

0

6 ⟌ 4 5 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

0

6 ⟌ 4 5 2

- 0

4

Step 5:

Move down the 2nd digit of the dividend (5) like this:

0

6 ⟌ 4 5 2

- 0

4 5

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

0 7

6 ⟌ 4 5 2

- 0

4 5

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

0 7

6 ⟌ 4 5 2

- 0

4 5

4 2

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3

Step 9:

Move down the last digit of the dividend (2) like this:

0 7

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 10:

The divisor (6) goes into the bottom number (32), 5 time(s). Therefore put 5 on top:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

Step 11:

Multiply the divisor by the result in the previous step (6 x 5 = 30) and write the answer at the bottom:

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

3 0

Step 12:

Subtract the result in the previous step from the number written above it. (32 - 30 = 2) and write the answer at the bottom.

0 7 5

6 ⟌ 4 5 2

- 0

4 5

- 4 2

3 2

- 3 0

2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 452 divided by 6 calculated using Long Division is:

75

2 Remainder

Mark as brainlist

An item has a listed price of $75 . If the sales tax rate is %9 , how much is the sales tax (in dollars)?

Answers

Answer:

$6.75

Step-by-step explanation:

9% of 75 = 6.75

.09 × 75 = 6.75

Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?

Answers

Answer:

6E

Step-by-step explanation:

If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan

Hope this helps! :D

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