An object that is projected straight downward with initial
velocity v feet per second travels a distance s = vt + 16t2,
where t = time in seconds. If Ramón is standing on a
balcony 84 feet above the ground and throws a penny
straight down with an initial velocity of 10 feet per second,
in how many seconds will it reach the ground?
A. 2 seconds
B. 3 seconds
C. 6 seconds
D. 8 seconds

Answers

Answer 1

Answer: 2 seconds

Step-by-step explanation:

Answer 2

An object take 2 seconds to reach to the ground. option A is correct.

An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10

What is Velocity?

Velocity is ratio of displacement to the time.

We have equation.
s = vt + 16t2
Now, put s =  84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2  

Thus, An object take 2 seconds to reach to the ground.

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Related Questions

Which describes the graph of y = (x - 5)2 - 4?
O A. Opens up with a vertex at (5, -4)
B. Opens down with a vertex at (-5,-4)
ting
C. Opens up with a vertex at (-5,-4)
O D. Opens down with a vertex at (5,-4)

Answers

Answer:

A. Opens up with a vertex at (5,-4)

Step-by-step explanation:

Apex

Answer: A. Opens up with a vertex at (5,-4)

Step-by-step explanation:

Someone please help me out !!!!!!!

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex](9x + 17) + (3x + 7) = 180[/tex]

[tex]12x + 24 = 180[/tex]

Subtract sides 24

[tex]12x + 24 - 24 = 180 - 24[/tex]

[tex]12x = 156[/tex]

Divide sides by 12

[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]

[tex]x = 13[/tex]

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1. Factor the expression completely 20x^4+80x^3-5x^2-20x

Answers

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Round 23,487 to the nearest ten. PLEASE HELP I WILL BRAINEST ASAP

Answers

Answer:

23,490

Step-by-step explanation:

1. The first step to solving a 2-Step Equation, like in the problem below, is
to: *
2 points
-3x + 5 = 12
Division: Divide both sides by -3 to isolate the variable.
Addition: Add 3 to both sides to isolate the variable.
Subtraction: Subtract 5 from both sides to isolate the variable term.
Multiplication: Multiply by the common denominator 60.

Answers

Answer:

addition add 3 to both sides to isolate the variable term

A taco stand sells tacos for $3.50 each. The stand's expenses for the day are
$180. How many tacos do they need to sell in a day in order to make a profit?
Write and solve an equation.

Answers

52 tacos

3.5x<180

Step-by-step explanation:

it would be bigger than symbol because the minimum they need to sell is 52 but they could sell more

NEED HELP 15 points please help!!!

Answers

Can you make the question more clear please
Its bs times 3 time 4 equals you dumb

Which of following have a value equal too |-28|?

Answers

Answer:

Step-by-step explanation:

2nd one, 3rd one, and 5th one

Answer:

28

Step-by-step explanation:

HELP HELP!!!!
A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

Answers

Answer:

The last option is correct:

"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."

Step-by-step explanation:

We have a pair of equations of lines:

y=-x+1

y=2x+4

The equation of a line can be written as follows:

y=mx+b

Where m is the slope and b is the y-intercept.

Following the form of both lines, we can conclude that:

The first line has slope -1 and y-intercept 1

The second line has slope 2 and y-intercept 4.

To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.

The only option which has all the correct information is the last one:

"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."

The fourth option is correct which is : On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

For plotting the graph of a line we compare the given equation of the line to the standard equation:   y = mx + c

where m = slope of the lie

           c = intercept on y- axis

(i) y = -x + 1

 comparing with y = mx + c we get,

         slope m = -1

        y-intercept c = 1

(ii) y = 2x + 4

  comparing with y = mx + c we get,

         slope m = 2

        y-intercept c = 4

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8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP

Answers

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

Please help Find sin and csc. ​

Answers

I did this I think the sin is 56

-2m=-10
Solve this for m

Answers

Answer:

M=5

Step-by-step explanation:

divide each side by -2

five million four thousand three hundred in standard for

Answers

Answer:

500,400,300

Step-by-step explanation:

is this correct?

Answer:

Your answer is 5004300

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

what is the relationship between the radius and diameter of a circle?

Answers

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center.

The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.

In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:

Diameter (D) = 2 * Radius (r)

This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.

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In Level 1, Nora earned 16 points because her bridge passed inspection. Then, she lost 25 points because part of her bridge collapsed! What was Nora's score at the end of Level 1?

Answers

Answer:

-9 points

Step-by-step explanation:


A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a
video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly
selected. Let M be the event that the participant brought a microwave and let C be the event that the participant
brought a video game console. Organize these events in a two-way table. What is the probability that the participant
brought both a microwave and a console, P(M and C)?
0.65
0.71
0.76
0.90

Answers

Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

500 = 425 1 = X 425/500 = X 0.85 = X 380/500 = X 0.76 = X 0.85 x 0.76 = X 0.646 = X

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

Learn more about probability in https://brainly.com/question/14393430

I just need help with 1-8

Answers

Answer:

1. Reflexive Property of equality

2. Addition Property of equality

3. Subsitution

4. Definition of Congruence

5. Transitive Property

6. Division of equality

7. Segment Addition postulate

8. Subtraction of equality

Step-by-step explanation:

Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.

Answers

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].

(3^8 ⋅ 2^−5 ⋅ 9^0)^−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28

Answers

Answer:

I agree with the first answer.

Step-by-step explanation:

Answer:

(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 ((38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (

Step-by-step explanation:

What’s 5 divided by 6.2

Answers

5 divided by 6.2 is 0.80

Answer:

8

Step-by-step explanation:

Because you need to round 0.8064516129 to the nearest tenth

Write an expression for: The sum of 5 times a number and twice a number is 42.

Answers

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

find the number of point p that is 1/4 of the way from a to b.
A__________________B
-15 33

Answers

Answer:12

Step-by-step explanation:33 + 15=48 48/4=12

is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2

Answers

Answer:

113.1 in²

Step-by-step explanation:

A = pi × r²

= pi × 6²

= 113.1 in²

Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?

Answers

Answer:

5 weeks

Step-by-step explanation:

She would need to work at least 8 weeks because the bicycle is $80 and she has $35.

Answer:

5 weeks

Step-by-step explanation:

i took 80 - 35 to get 45 (money she still needs)

then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)

and if you get 10 dollars per week and its asking how many weeks

you have to up the 4 by one because it has a .5

so it would be 5 weeks


Help me please ^_^!!!

Answers

Answer:

I'd say the answer is A or B

Step-by-step explanation:

Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)

Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000

I know the answer is 64, but how? Can someone please explain me to me how to work this out?

Answers

Well the square root of 64 is 8, and the cube root of 64 is 4. They’re perfect whole numbers. We know 4 x 4 = 16 is a square from the fact above, and also because of what a square means. But we can go one step further. 4 x 16 = 64 is the product of two squares, so it is also a square. But you can also write it as 64 = 4 x 4 x 4, making it a cube.

Please help look at the screenshot

Answers

Answer:

Step-by-step explanation: 40 newtons to the right

Answer: 40 Newton’s

How to find LCM by division method

Answers

look it dinometer of last two numbers at the down and cross multiple them by the lcm

Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.

Answers

Answer:

2x-54n

Step-by-step explanation:

2x-54 that’s the answer I’m late tho

Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3

Answers

x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

2x+5(2x+3)=3

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1

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