Question 3
6 pts
A ball is thrown vertically upward with an initial velocity of 48 feet per
second and started from a height of 8 ft off the ground.
a. Write a vertical motion equation that models the situation.
b. How long will it take the ball to hit the ground? (round to the nearest
Hundredth)
c. How long will it take the ball to be 56 ft above the ground?
No answer text provided.

Question 36 PtsA Ball Is Thrown Vertically Upward With An Initial Velocity Of 48 Feet Persecond And Started

Answers

Answer 1

(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².

(b) The time for the ball to hit the ground is 3.15 s.

(c) The time for the ball to travel 56 ft above the ground is 0.79 s.

Vertical motion equation for the ball

The vertical motion equation for the ball is calculated as follows;

h = h₀ + vt - ¹/₂gt²

h = 8 + 48t - ¹/₂(32)t²

h = 8 + 48t - 16t²

Time for the ball to hit the ground

0 = 8 + 48t - 16t²

solve the above quadratic equation with formula method;

a = -16, b = 48, c = 8

t = 3.15 s

Time for the ball to be 56 ft above the groundlet upward motion be positive

h = 8 + 48t + 16t²

56 = 8 + 48t + 16t²

0 = -48 + 48t + 16t²

solve the above quadratic equation with formula method;

a = 16, b = 48, c = -48

t = 0.79 s

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Related Questions

Identify the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis.

Answers:
T (−1, −3), U (−3, 17), V (12, 8)
T (1, −3), U (3, 17), V (−12, 8)
T (3, −1), U (−17, −3), V (−8, 12)
T (1, 3), U (3, −17), V (−12, −8)

Answers

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

At what price should Nepali bags be sold in order to make a profit of 140% by selling 2000 bags in the USA which was purchased in Nepal for Rs. 800 each and after paying 15% export tax ? [Given that $1 = Rs. 105.00.]​

Answers

The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.

What is the price the bags should be sold ?

Profit is total revenue less total cost.

The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62

The second step is to determine the total cost including taxes: 1.15 x 7.62  = $8.76

Selling price = (1 + 1.40) x 8.76 = $21.02

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The perimeter of a rectangular poster is 14 feet and the length is 4 feet. Describe how to use the perimeter formula to find the width.

Answers

Answer:

  solve the equation with known values filled in; width is 3 ft.

Step-by-step explanation:

The perimeter formula can be used to find a missing value by filling in all of the known values, and solving the resulting equation.

__

  P = 2(L +W) . . . . . . perimeter formula

  14 = 2(4 +W) . . . . . known values substituted

  7 = 4 +W . . . . . . . divide by 2

  3 = W . . . . . . . . . subtract 4

The width is found to be 3 feet using the perimeter formula.

Answer:

The width of rectangular poster is 3 feet.

Step-by-step explanation:

As per given question we have provided that :

→ Perimeter of rectangle = 14 feet→ Length of rectangle = 4 feet

We need to find the width of rectangle.

Here's the required formula to find the width :

[tex]{\underbrace{\sf{\small{ \: \: P = 2(L + W) \: \: }}}}[/tex]

➟ P = Perimeter ➟ L = Length ➟ W = Width

Calculating the width of rectangular poster by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\twoheadrightarrow{\sf{\small{ \: \: P = 2(L + W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 14 = 2(4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: \dfrac{14}{2} = (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 7= (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: W = 7 - 4\: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\underline{\underline{\small{ \: \: W = 3\: \: }}}}}} \end{gathered}[/tex]

Hence, the width of rectangular poster is 3 feet.

[tex]\rule{200}2[/tex]

This question has two parts. Use the figure to answer Part A and Part B.
Angle ABC is a right angle.
a
Part A
Which equation could be used to correctly solve for X?
А
O A. 2x = 56
O B. 2x+56 = 90
OC. 2x + 56 = 180
Part B
What is the value of x? Enter the answer in the box.
56°
(2x)
B
C
X=
* not drown to scale

Answers

Answer:

Pt 1) B

Pt 2) 17

Step-by-step explanation:

a right angle is 90 so 56 plus 2x should equal 90. Subtract 56 from 90 and get 34, because it's 2x you divide by 2 and get 17

Write each fraction as a percentage

Answers

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).
What is the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0)?

Answers

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

How to find the equation of a line?

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

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what expressions are equvilent to 9x^{2} - 256

Answers

Answer:

(3x + 16)(3x - 16)

Step-by-step explanation:

[tex]9 {x}^{2} - 256 \\ \\ = {(3x)}^{2} - {(16)}^{2} \\ \\ = (3x + 16)(3x - 16)[/tex]

Judy simplified the expression (3x+1)(x-3) -( 2-2x^2-3x)

Answers

It's the 3rd optionnn

A 10-speed bike changes gears by moving the chain to different size sprockets on the front and back. The speed at which the bike goes varies directly with the number of revolutions per minute (rpm) you turn the pedals, directly with the number of teeth on the front sprocket, and inversely with the number of teeth on the back sprocket. A standard bike with 70 cm diameter wheels will go about 7.4 kilometers per hour if you pedal 40 rpm in the lowest gear (39-tooth front sprocket, 28-tooth back one). Write an equation expressing km/h in terms of the three independent variables.

Answers

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

How to determine the equation in terms of the variables?

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

s represents the speed; s = 10k represents the constant of variationr represents the number of revolutions per minutef represents the number of front sprocket teethb represents the number of back sprocket teeth

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

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Given m||n find the value of x (x+ 20) (4x-5)

Answers

Answer:

x² + 80x - 5

Step-by-step explanation:

x (x+ 20) (4x-5)x [tex]*[/tex] x = x² x [tex]*[/tex] 20 = 20xx² + 20x [tex]*[/tex] 4x - 5 20x [tex]*[/tex] 4x = 80xso in all = x² + 80x - 5


Find the 7th term of the geometric sequence show below
7x, -7x^5, 7x^9,…

Answers

Answer:

7x^25 :)

Step-by-step explanation:

1: 7x,

2. 7x^5,

3. 7x^9,

4. 7x^13,

5. 7x^17,

6. 7x^21,

7. 7x^25

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

[tex]7x^{25}[/tex]

Step-by-step explanation:

Given sequence: [tex]7x, -7x^5, 7x^9[/tex]

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

[tex]a_1=7x[/tex]

[tex]a_2=-7x^5[/tex]

[tex]a_3=7x^9[/tex]

To find the common ratio, divide one term by the previous term:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{-7x^5}{7x}=-x^4[/tex]

Therefore, substituting the found values of a and r into the formula:

[tex]\implies a_n=(7x)(-x^4)^{n-1}[/tex]

To find the 7th term, substitute n = 7 into the formula:

[tex]\begin{aligned}\implies a_7 & =(7x)(-x^4)^{7-1}\\ & = (7x)(-x^4)^6\\ & = (7x)(x^{24})\\ & = 7x^{25}\end{aligned}[/tex]

Many weather conditions need to be met before a space shuttle can launch. The temperature must be greater than 35°F and less than 100°F, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions. Write a system for the above constraints.​

Answers

Answer:

Launch may not occur if the temperature is 35° F or colder.

would be your answer.

Step-by-step explanation:

The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.

-121-1,649°C.

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams. A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams. Which metal has the greater density?

PLEASE SHOW WORK, WILL MARK BRAINLIEST

Answers

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams.

[tex]d = \dfrac{73.92}{8.25}\\d = 8.96[/tex]

A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

[tex]d = \dfrac{39.35}{5}\\\\d = 7.87[/tex]

Thus, A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

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What is the area of each triangular base of the prism?

Answers

Answer:

Each base: 12 ft^2

Surface Area: 48 ft^2

Explanation:

Assuming it is a triangular prisim made of equilateral triangles, I would assume the formula would be 4 times the area of one triangular base, following the formula:

[tex]a = \frac{1}{2} bh \\ a = \frac{1}{2} (6)(4) \\ a = 12 \\ 4 \times 12 = 48[/tex]

A dental hygienist might pay about $20,000 for education beyond high school and expect to earn about $70,000 per year. A veterinarian might pay about $153,000 for education beyond high school and expect to earn about $84,000 per year. Compare the total earnings minus the costs of education for the careers in 10 years. Which career would you choose if salary was the most important factor? Explain

Answers

Answer:

$150,000.

Step-by-step explanation:

Please show work y’all thank you!

Answers

I can’t see the picture

26) Anjali and Rob are selling cookie dough for a school fundraiser. Customers can buy packages of
sugar cookie dough and packages of oatmeal cookie dough. Anjali sold 6 packages of sugar cookie
dough and 2 packages of oatmeal cookie dough for a total of $116. Rob sold 9 packages of sugar
cookie dough and 12 packages of oatmeal cookie dough for a total of $318. Find the cost each of
one package of sugar cookie dough and one package of oatmeal cookie dough.

Answers

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

What is the standard deviation of the data? 0.5 1.5 2.0 2.5

Answers

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

I need help! This pattern repeats every 4 terms. The pattern is square, hexagon, trapezoid, triangle. What is the shape in the 7th term of this pattern?

Answers

Answer:  Trapezoid

==========================================================

Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

squarehexagontrapezoidtrianglesquarehexagontrapezoidtriangle

We see that the trapezoid is term 7.

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

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

Find the AREA OF THE BASE of the
cylinder!
base is 10yd and height is 15yd

Answers

the base would be a circle so we use the formula, A=r^2(pi)
I assume that 10yards is the diameter of the base and so the radius in this question would
be 5 yards.
we plug in our numbers into the formula
A=5^2(pi)
A=25(pi)
and then into the calculator,
A= 78.54

Two yellow lines (one solid, another broken) in the center of a two-way road mean that vehicles traveling ___________.

Answers

on the broken line side can pass while the vehicles on the solid line side cannot.

A team of researchers measured the length of 5 different rainbow trout pulled from different locations in a lake. length, in.: {18, 22, 15, 28, 17} what is the estimated mean absolute deviation of the lengths of rainbow trout in the lake? 1.3 in. 4 in. 20 in. 61 in.

Answers

4IN

Step-by-step explanation:

I took the test for k12 and got 100% hope it helps

Answer:

4 in

Step-by-step explanation:

18 + 22 + 15 + 28 + 17 = 100

100 / 5 = 20

So, the mean for the data set: 18, 22, 15, 28, 17 is 20.

18 - 20 = |2|

22 - 20 = |2|

15 - 20 = |5|

28 - 20 = |8|

17 - 20 = |3|

2 + 2 + 5 + 8 + 3 = 20

20 / 5 = 4

So, 4 in is the mean absolute deviation (MAD).

I also took the test.

Twenty less than thrice a number is 223

Answers

[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]

A bucket contains 3 small red blocks, 5 small yellow blocks, 5 large yellow and 7 large red blocks. If a block is drawn randomly, what is the probability that the block is yellow, given that it is one of the large yellow blocks

Answers

Answer:

probability = favorable cases / true cases

p(A)=5/20 simplified by 5 = 1/4

answer : the probability that the block is one of the large yellow it's 1/4.

Need help with this homework question

Answers

The question is not attach!

What is the answer to −6(x +2) − 2

Answers

Answer: hii <3

The Answer Is = −6x−14

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew :)

Answer:

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Step-by-step explanation:

In order to solve this, you need to expand by the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]

-6(x+2)-2

Expand.

-6*x=-6x

-6*2=-12

Then, rewrite the expression down.

-6x-12

-6x-12-2

Subtract the numbers from left to right.

-12-2=-14

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Therefore, the correct answer is -6x-14.

I hope this helps. Let me know if you have any questions.

Good luck with your assignment!

The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.

Answers

Answer:

(-13/6, -12)

&

(2, 13)

Step-by-step explanation:

x · y = 26       -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

A new car is purchased for 27,500 dollars. The value of the car depreciates at a rate of
9% per year. Which equation represents the value of the car after 2 years?

Answers

Answer:

A=27,500(1-.09)² or A=27,500(0.91)²

How many different vacation combinations do you have to choose from?​

Answers

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

find the circumference of the circle using 3.14 for pi

Answers

Answer:
34.54

Explanation:
The hint states C=pid
D= diameter=11
Pi=3.14
C = (3.14)(11)
BOOM MUTI-LY THE 2 NUMBERS AND YOU GET YOUR ANSWER 34.54


Hope it helps, Let me know if you have any other questions !
Have a nice rest of your day :)

Answer: 34.54


 Multiple 11 by 3.14 and you'll get 34.54
and if you need the radius just divide 11 by 2 and get 5.5
I hope this helps! :)

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