An observation deck extends 199 feet out above a valley. The deck sits 149 feet above the valley floor. If an object is dropped from the observation​ deck, its height h in​ feet, after t​ seconds, is given by h= -16t^2+149. How long will it take for the object to be 5 feet above the valley​ floor?

Answers

Answer 1

Answer:

Step-by-step explanation:

Give the height of the observation deck modeled by the equation

h= -16t^2+149 where t is in seconds;

To get the time it will take the object to be 5 feet above the valley floor, we wil substitute h = 5ft into the modeled equation and calculate t;

h= -16t^2+149

5= -16t^2+149

-16t^2 = 5-149

-16t^2 = -144

t² = 144/16

t² = 9

t = √9

t = 3secs

Hence the time it will take for the object to be 5 feet above the valley​ floor is 3secs


Related Questions

Find the value of x so that the function has the given value.

j (x) = -4/5x + 7; j (x) = -5

Answers

Answer:

x = 15

Step-by-step explanation:

Step 1: Define

j(x) = -4/5x + 7

j(x) = -5

Step 2: Substitute and Evaluate

-5 = -4/5x + 7

-12 = -4/5x

x = 15

Plz answer this problem

Answers

Answer: x=

1/8y+5

Step-by-step explanation: Step 1: Flip the equation.

8x−40=y

Step 2: Add 40 to both sides.

8x−40+40=y+40

8x=y+40

Step 3: Divide both sides by 8.

8x

8

=

y+40

8

x=

1

8

y+5

Santa Claus has been experiencing some recent back pain and is unable to carry large bags of toys over his shoulders. As a result he uses redex to deliver many of his gifts this year. Fedex charges a flat rate of $2.50 plus $0.85 per pound. If the cost of sending gifts to the Jones is $28.85, how much did their gifts weigh?

Answers

Answer: 31 pounds

Step-by-step explanation:

From the question, we are informed that Fedex charges a flat rate of $2.50 plus $0.85 per pound and that the total cost of sending gifts to the Jones is $28.85. This can be mathematically expressed as:

2.50 + 0.85p = 28.85

where p = weight of the gift

So we have to solve the equation

2.50 + 0.85p = 28.85

0.85p = 28.85 - 2.50

0.85p = 26.35

p = 26.35/0.85

p = 31

Therefore the weight of the gift is 31 pounds

(8-4i)(5i-2)
I need the steps

Answers

Answer:

[tex]\huge{\boxed{\sf{ -20i^{2} + 48i - 16}}}[/tex]

Step-by-step explanation:

( 8 - 4i ) ( 5i - 2 )

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒[tex]8 ( 5i - 2 ) - 4i ( 5i - 2 )[/tex]

⇒[tex]40i - 16 - 20i^{2} + 8i[/tex]

Combine like terms.

Like terms are those which have the same base.

⇒[tex]- 20i^{2} +40i+ 8i - 16[/tex]

⇒[tex]-20i^{2} + 48i - 16[/tex]

Hope I helped!

Best regards!

~TheAnimeGirl

Maya bought 8 chicken wings for $8.80. If Maya spent $25.30, how many chicken wings did she buy?

Answers

Answer:

23

Step-by-step explanation:

For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 3:7. Which of the following best describes the amount of lemonade to iced tea?

Answers

Answer:

Just add 4 to first and second number

Step-by-step explanation:

3:7 add four to both which becomes 7:11

PLEASE I BEG OF YOU HELP ME!!!!! I'm not good at fractions!

Answers

Answer:

1 1/3 tubs per min.

2 mph.

50 mph.

9 cups per bag.

Step-by-step explanation:

Multiply the numerator of the first number by the denominator of the second number, then divide the product by the denominator of the first number. Hope this helps :)

5-4x=6+2x what is the awnser

Answers

Answer:

−0.166667

Step-by-step explanation:

thats the answer

x = -0.1666666667 is the correct answer

Solve for x.
2x+ 26 =-4(x - 5)
Simplify your answer as much as possible.

Answers

Answer:

X= -1

Step-by-step explanation:

Used an Algebra app :)

It helps.

Answer:

x=−1

Step-by-step explanation:

all multiples of 5 end with 5 true or false ​

Answers

Answer:

FALSE

Step-by-step explanation:

Multiples of 5 end with 5 or 0.

Answer:

False

Step-by-step explanation:

Think of the first couple of multiples for 5, 5, 10, 15, 20 and so on. As you can see 10 and 20 are multiples of 5 but do not end with a 5.

Give the angle pair name to justify your work equation setup and solve for x.
6x - 24 2x + 12°

Answers

Answer:

x = 9

Step-by-step explanation:

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to .

Answers

Answer:

The proportional equation is [tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]

Cross product are both equal to 21.

Step-by-step explanation:

5 peanut butter biscuits for $3

7 beef treats for $4.20

So, proportional equation is

[tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]

Cross multiply

21=21

Answer:

21

Step-by-step explanation:

Source: Trust me bro

Bobby has a sister named Abbey. Bobby’s sister Abbey is 4 years older than 1/3 of Bobby’s age. a) Write an expression for Abbey’s age in terms of Bobby’s age, b. b) How old is Bobby if Abbey is 7 years old?

Answers

Answer:

Step-by-step explanation:

a=1/3b + 4

7=1/3b+4

3=1/3b

b=9

PLEASE HELPPPP 28+ POINTS and ill mark brainlist !!
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.

Please answer in full sentences :)

Answers

Answer: the answer would be -63 would be X canned goods 825 is Y number of days hope this helped!

Step-by-step explanation:

remeber formula = y2-y1 divided by y2-y1= your answer

Answer:

Answer: the answer would be -63 would be X canned goods 825 is Y number of days hope this helped!

Step-by-step explanation:

remeber formula = y2-y1 divided by y2-y1= your answer

Step-by-step explanation:


what types of function do you see in the following graph?

Answers

constant and absolute value

Clay went for a run to prepare for a long distance race co ran 6 miles directly north and then 8 miles directly west. From there, he ran the diagonal distance back to his house. How many total miles did Clay run?

Answers

Answer:

24 miles

Step-by-step explanation:

so he went 6 miles, then 8 miles, then diagonally home.

which means he ran in a triangle.

Use the Pythagorean theory.

6*6=36

8*8=64

36+64=100

what square root = to 100?

10

so the questions is total moles did clay run.

6+8+10=24 miles

-3 2/5 - 5/6

how to do it​

Answers

Answer:

- 4 7/30

Step-by-step explanation:

-3 2/5 - 5/6 =- 17/5 - 5/6 =                        ⇒ converting the mixed fraction to standard- 17*6/5*6 - 5*5/6*5 =          ⇒ bringing fractions to common denominator- 102/30 - 25/30 = - (102 + 25)/30 =- 127/30 =                             ⇒ answer as standard fraction- 4 7/30                                ⇒ converting to mixed fraction

Answer:

- 4 ⁷/₃₀

Step-by-step explanation:

= -3 2/5 - 5/6

= - 17/5 - 5/6  ---- LCM of 5 & 6 is 30

= _  17 * 6   _   5 * 5  

       5 * 6        6 * 5

=  _  102 - 25

            30

=  _ 127

        30

=  4 ⁷/₃₀

Hi can sombody pleasee answer these and say what r, n, and y on all the equations are

85 - 7.2r = 25.24

6r - 3 = 10

170 - 4n = 130

4(2+3y) + 10 = 12

Answers

Answer:

r= 8.3

r=2.17

n=10

Step-by-step explanation:

-4(b+3)-12=2b-16+5b tell each property used in each step to solve the equation​

Answers

Answer:

b= - 8/11

Step-by-step explanation:

-4b-24=7b-16

-4b-24+24=7b-16+24

-4b=7b+8

-4b-7b=7b+8-7b

-11b=8

-11b/-11 = 8/-11

b= - 8/11

Which situation can be modeled by the inequality m > 225? A. The community theater's auditorium can seat at most 225 people. B. The number of people who attended the mathematics conference was more than 225. C.The students need to raise at least $225 in order to pay for the bus ride to go on a field trip. D. The distance Deshawn must travel from his house to reach the Gulf Coast is less than 225 miles.

Answers

Answer:

B. The number of people who attended the mathematics conference was more than 225.

Step-by-step explanation:

Given the inequality m > 225, the inequality means that m is greater than 225. Since the inequality sign does not include equal to sign, then the value of m cannot be less than and equal to 225. The situation that best fits the expression based on the explanation above is "The number of people who attended the mathematics conference was more than 225"

Emphasis should be on 'WAS MORE THAN' according to the statement. The greater sign means that the number of people will always be greater than or more than 225 representing the variable m as the number of people.

If you put $500 into a bank account that pays 2.5% per year, how much money will you have at the end of a year?

Answers

Answer:

q

Step-by-step explanation:

w

−4−5+4+(−5)
this is from khan

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Just do it! But first, take notice that the positive and the negative 4 cancels each other out. So it leaves -5 + (-5) which equals -5-5 which is -10.

what is the sum of 0.03 times 10

Answers

Answer:

0.03×10= 10

This is easy why do u need it

Elena wants to prove that the measures of the 3 angles in a triangle always
sum to 180 degrees. She starts by using rigid motions to rotate triangle ABC
180° around 2 midpoints. Explain how Elena labeled her diagram and finish
her proof.
E
D
o
6
С
В
B

Answers

My best explanation to this question is:

Elena has summed the total of all three angles in the straight angle to get 180°; <DAB, <BAC , and <CAE. But this does not mean a total of three angles will ALWAYS equal 180°. If one angle is greater than the other two, then there is a possible chance the angle will not be 180°. If the angles are scalene, then there is a greater chance the angle may not be 180°.

This may be wrong, so you don’t have to come up with my response exactly, just modify it to what you need. Wish you luck.

The measures of the 3 angles in a triangle always sum to 180 degrees.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We have to determine the prove that the measures of the 3 angles in a triangle always sum to 180 degrees.

We have been given that angles as

∠ DAB, ∠ BAC, and ∠ CAE.

Each 180-degree rotation takes line BC to a parallel line. So line DA is parallel to BC and line AE is also parallel to BC.

There is only one line parallel to BC that goes through point A, so lines DA and AE are the same lines.

Since line DE is parallel to line BC,

alternate interior angles are congruent.

This represents that angle BAD also measures b" and angle CAE also measures c'. D

Since DE is a line, the 3 angle measures at point A would sum to 180 degrees.

So a + b + c = 180.

The fact that this explanation is dependent on the triangle we started with indicates that any triangle's sum of its three angles is always 180 degrees.

Therefore, the measures of the 3 angles in a triangle always sum to 180 degrees.

Learn more about the congruent triangles here:

brainly.com/question/4364353

#SPJ2

odd number have more than exactly by 2 true or false​

Answers

True man it’s the way you think it is

solve for x in geometry

Answers

Answer:

x = 3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

28x - 2 is an exterior angle of the triangle, thus

28x - 2 = 15x - 3 + 40 = 15x + 37 ( subtract 15x from both sides )

13x - 2 = 37 ( add 2 to both sides )

13x = 39 ( divide both sides by 13 )

x = 3

state what additional information is required in order to know that the triangles are congruent for the reason given.

Answers

Answer:

To me, it looks like it should already be eligible for SAS.

Step-by-step explanation:

SAS stands for Side, Angle, Side (what items have to be congruent for this method to work.)

As we look at the picture,  there are two sides equal, and an angle between them.

So, it looks like SAS is already viable to use, without having to add more information! (at least from what I can say.)

Sorry about my poor answer, I'm in a Zoom Class right now.

The measure of angle is 20° less than its supplement. Find both angle measures.

Answers

Answer:

110 Degrees and 80 Degrees.

Sorry no step by step in a hurry :)

Karen's favorite movie is 123.13 minutes long. Her second-favorite movie is 96.75 minutes long. How much longer is her
favorite movie?

Answers

answer: 123.13-96.75
26.37

Answer:

Her favorite movie is 26.38 minutes longer

Step-by-step explanation:

All you have to do is subtract 123.13 by 96.75.

123.13 - 96.75= 26.38

What is the coordinate of M?

Answers

Answer:

(3, 2)

Step-by-step explanation:

no explanations; just use the graph on the picture.

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