An observation deck extends 456 feet out above a valley. The deck sits 406 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=-161 +406. How long will it take for the object to be 6 feet above the valley floor?​

Answers

Answer 1

We need to know the relation between height, time to solve this problem. The time taken by the object to be 6 feet above the valley floor is 25 seconds.

The distance an object falls is proportional to the time it took to fall because of gravitational force. Here we have been given an equation that shows us the relation between height of the object and the time taken to reach that height. We know that the initial height of the object is 406 feet, if we substitute the initial height in the equation we get time to be zero which shows us that this is the initial height. We need to find out the time taken by the object to be 6 feet above the valley floor.

h= -16t+406

6=-16t+406

-400=-16t

t=400/16=25 seconds

Therefore the time taken by the object to be at a height 6 feet above the valley floor is 25 seconds.

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Related Questions

What is the value of x?
1. 20
2. 17
3. 28
4. 36

Answers

36 is the answer for this

A jar contains 100 marbles. There are 21 blue marbles, 19 green marbles, 37 red marbles, and 23 yellow marbles. What is the probability of randomly selecting a yellow marble? Enter the correct answer​

Answers

The probability of getting yellow marbles is 0.23.

What is probability?

Probability is the measure of the likelihood that an event will occur in a Random Experiment.

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Total marbles= 100

blue marbles = 21

green marbles= 19

red marbles = 37

yellow marbles= 23

So, the probability of randomly selecting a yellow marble

= 23/100

= 0.23

Hence, the probability of randomly selecting a yellow marble is 0.23.

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PLEASE HELP
the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions.

Answers

Answer:

Length of the rectangle = 43 inches

Width of the rectangle= 20 inches

Step-by-step explanation:

Let the width (w) of the rectangle be = x inches

-> Length (l) of the rectangle will be = (2x + 3) inches.

Perimeter of the rectangle = 126 inches

-> 2(l + w) = 126

-> l + w = 126/2

-> l + w = 63

-> x + (2x + 3) = 63

-> 3x = 63 - 3

-> 3x = 60

-> x = 60/3

-> x = 20

-> 2x + 3 = 2(20) + 3 = 43

Thus,

Length of the rectangle = 43 inches

Width of the rectangle= 20 inches

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Answers

Answer:

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what two numbers are 1/16 away from - 1/5

Answers

The two numbers that are (1/16) away from -(1/5) are -(11/80) and -(21/80).

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The two numbers that are 1/16 away form -(1/5) can be found by adding 1/16 to -(1/5) and subtracting 1/16 from -(1/5). Therefore, we can write,

-(1/5) + (1/16) = -(11/80)

-(1/5) - (1/16) = -(21/80)

Hence, the two numbers that are (1/16) away from -(1/5) are -(11/80) and -(21/80).

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Gabriela plans to save at least $5,600 to buy a car. She already has $2,500 saved and plans to save $500 each month.

Which inequality represents how many months (m) it will take Gabriela to save at least $5,600?
m < 6
m > 6
m ≤ 6
m ≥ 6

Answers

Inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

As given in the question,

Amount Gabriela plans to save to buy a car = at least $5,600

Amount she already has = $2500

Amount she needs to save at least = $(5600 -2500)

                                                          =$3100

Plans to save each month =$500

Inequality to represents the number of months to save at least $5600

m ≥ 3100/500

⇒ m ≥ 6

Therefore, inequality represents number of months (m) it will take Gabriela to save at least $5,600 is m ≥ 6.

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what is negative 8 = x over 2.5 minus 6

Answers

The value of x in the given expression 8 = x over 2.5 minus 6 is (-1/8)^(2/7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

given expression is :

-8 = x^(2.5-6)

Now, solving for x by transferring power of x to -1/8 that will become -8 to the power (2/7) :

-8 = x^(-3.5)

-8 = 1/x^(3.5)

x^(3.5) = -1/8

x^(7/2) = -1/8

x = (-1/8)^(2/7)

Therefore, the value of x in the given expression is (-1/8)^(2/7)

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Daisy walks 1.13 miles on each trip to the park. How far will Daisy walk if she makes 6.5 trips to the park?

Answers

6.5 x 1.13 = 7.345 miles

Write the function whose graph is the graph of y=x^2, but is translated 3 units to the left

Answers

Answer:

[tex]f(x) = x^2 + 6x+9[/tex]

Step-by-step explanation:

[tex]y=(x+3)^2 = x^2 + 6x+9[/tex]

What is the sum of the first six terms of the geometric series?

2 – 6 + 18 – 54 +

Answers

Answer:

S₆ = - 364

Step-by-step explanation:

the sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{2}[/tex] = - 3 , then

S₆ = [tex]\frac{2((-3)^{6}-1) }{-3-1}[/tex]

    = [tex]\frac{2(729-1)}{-4}[/tex]

   = [tex]\frac{2(728)}{-4}[/tex]

   = [tex]\frac{1456}{-4}[/tex]

  = - 364

Select the best answer to the question.
ہے
Percent Sold
40%
30%
20%
10%
0%
O Line Graph
O Pie Chart
Trucks
What type of graph is this example?
O Bar Graph
O Table
Vehicle Sales
Cars
SUVS
Vehicle Types
Motorcycles

Answers

Answer:

all the correct answers are the correct answers of

Step-by-step explanation:

step by step explanation no needed because answer already answered okay there answer needed.


Addison worked at three part-time jobs last week. At one job, she worked 11 hours at a salary of $21 per hour, at another she worked 11 hours at $19 per hour,
and at the third she worked 17 hours at $18 per hour. What was her mean hourly wage?

Answers

11*21+11*19+17*18/3=746/3=248.3

what is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligrams?

Answers

Answer: C= 60 milligrams

Step-by-step explanation:

apply the formula

C = Divide[a,\(40)a+2\(41)]A

Can someone help me with this question?

Answers

Answer:

1. 740 students

2. 4 years

3. 185 students per year

4. 357 students

5. 185t+357

6. 3132 students

Work:

1. 1837 - 1097 = 740

2. 2008 - 2004 = 4

3. (1837 - 1097) / (2008 - 2004) = 185

4. 185(0) + 357 = 357

5. 185t + 357

6. 185(15) + 357 = 3132

PLSSS HELPPP ME WITH THISSSS THERES A PHOTO IM IN CLASS

Answers

lol ur on ur own for this one buddy good luck

micheal launches a rocket straight up into the air. the table below gives the height H(t) of the rocket (in meters) at a few times t (in seconds) during its flight.

Answers

(a) The average rate of change for the height from 0 seconds to 4.6 seconds is 30 meters per second.

(b) The average rate of change for the height from 9.2 seconds to 11.5 seconds is -10 meters per second.

The height at 0 seconds is 0 meters.The height at 2.3 seconds is 92 meters.The height at 4.6 seconds is 138 meters.The height at 9.2 seconds is 23 meters.The height at 11.5 seconds is 0 meters.(a) The average rate of change for the height from 0 seconds to 4.6 seconds is equal to the ratio of the change in height for the given time and the time difference.The average rate of change for the height from 0 seconds to 4.6 seconds is (138-0)/(4.6-0).The average rate of change for the height from 0 seconds to 4.6 seconds is 30 meters per second.(b) The average rate of change for the height from 9.2 seconds to 11.5 seconds is equal to the ratio of the change in height for the given time and the time difference.The average rate of change for the height from 9.2 seconds to 11.5 seconds is (0-23)/(11.5-9.2).The average rate of change for the height from 9.2 seconds to 11.5 seconds is -10 meters per second.

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Use the Distributive Property to rewrite each of the following products
and then calculate the value, as shown in the example below.
Example: 4(307)= 4(300)+4(7)=1200+28 = 1228
9(410)
6(592)
a.
b.
as sums,

i will give a lot of points

Answers

Answer: I hope this helps.

Step-by-step explanation:

What is the coefficient of the x2-term of the algebraic expression 2 x 4 + x squared minus x + 7?

Answers

The Coefficient of x^2  in algebraic Expression 2x^4 + x^2 -x +7 will be 1.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Given algebraic  Expression is :

2x^4 + x^2 -x +7

Now,

The coefficient is the constant term multiplied with the variable.

Therefore, here the Coefficient of of x^2 will be 1.

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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!

Answers

The equation of the linear least-squares regression line is given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For this problem, we have that:

The input is the time.The output is the cube root of the volume.

From the table, we get that:

The intercept is the constant, of -0.006.The slope is the coefficient of 0.64.

Water is being poured into the cone, hence the volume is increasing and the slope is positive. The equation will be given by:

[tex]\sqrt[3]{\text{Volume}} = -0.006 + 0.64(\text{Time})[/tex]

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three less than the sum of x and y​

Answers

Answer:

X+Y-3

Step-by-step explanation:

I don’t know what X/Y is, but “three less than” means you need to subtract 3 from the sum of X+Y

Is the question just asking for it written out like X+Y-3?


(8 + 7) (6-√(-81) alguien me ayuda por favor

Answers

Answer:

45 (-3 i + 2)

Step-by-step explanation:

Simplify the following:

(8 + 7) (-sqrt(-81) + 6)

Hint: | Evaluate 8 + 7.

8 + 7 = 15:

15 (-sqrt(-81) + 6)

Hint: | Express sqrt(-81) in terms of i.

sqrt(-81) = sqrt(-1) sqrt(81) = i sqrt(81):

15 (6 - i sqrt(81))

Hint: | Factor common terms from -(i sqrt(81)) + 6.

Factor 3 out of 6 - 9 i giving 3 (2 - 3 i):

15×(3 (-3 i + 2))

Hint: | Multiply 15 and 3 together.

15×3 = 45:

Answer: 45 (-3 i + 2)

Please help me I will give brainliest

Answers

Answer: $6.90

Step by step explanation:
31.69 - 4.09 = $27.60/4 = $6.90 per bag of potatoes

please help Use the following statement to answer ALL three parts of the question. Statement: If two angles are supplementary, then the angles are a linear pair

Answers

Step-by-step explanation:

supplementary angles are two angles that are together 180°.

they don't have to be adjacent, but the fact that the 2 angles can be placed "randomly" in a scenario is rarely used, except maybe for intersection angles of a line with parallel lines.

a linear pair are 2 angles that are truly adjacent (neighbors, touching each other) that are together 180°.

so, our original statement is

if 2 angles are supplementary, then the angles are a linear pair.

that by itself is (as described) not true in all cases. angles can be non-adjacent (and therefore not a linear pair) and still be supplementary.

so the original statement is false.

(a)

the inverse is

if 2 angles are not supplementary, then the angles are not a linear pair.

that is true.

as per the definition, linear pair angles are a true subset of supplementary angles (every linear pair is a pair of supplementary angles, but not every pair of supplementary angles is a linear pair).

so, if they are not a member of the set of supplementary angles, they cannot be a member of a subset either.

(b)

the converse is

if 2 angles are a linear pair, then the angles are supplementary.

that is true.

because linear pair angles are a true subset of supplementary angles. if something is a member of a subset, it is also a member of any superset.

(c)

the contrapositive is

if 2 angles are not a linear pair, then the angles are not supplementary.

that is false.

as described, linear angles are a true subset of supplementary angles. so, an element can be outside a subset but still inside a superset.

like in the original example, 2 angles across intersected parallel lines can be supplementary, but they are not a linear pair.

Susan has two jobs and can work no more than 28 total hours per week. If she earns
$8.50 per hour as a cashier and $10.00 per hour as a florist and she needs to earn at
least $160 for the week, how many hours does she need to work at each job? Write a
system of inequalities that could represent this situation.

Answers

The system of inequalities is,

The total hours will be X+Y≤4.

The total amount she can earn 8.5X + 10Y ≤ 22.85.

First let us assume that she work 7 days in the week.

If she works for 28 hours a week, Then the hours of work done by her in a day will be,

28hours/7days

Per day working hours are 4 hours per day.

now, if she has to earn at least 160$ a week. Then, the amount she has to earn in one day will be 160$/7days,

Amount needed to be earned in one day is 22.85$,

Now, if she work for X hours as cashier, then she can work Y hours as florist.

The total hours for which she can can be represented by,

X+Y≤4

The amount she will earn in one day can be represented by the inequality,

8.5X + 10Y ≤ 22.85.

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lesson 8.2 HELPPPPPPP!!!!!
Find the measure of the arc or angle indicated.

Answers

Applying the inscribed angle theorem, we have:

1. Measure of inscribed angle EDF = 53°

2. m<DCB = 92°

3. m<VWS = 37°

How to Apply the Inscribed Angle Theorem?

In a circle, the measure of an inscribed angle is equal to half of the measure of the measure of the intercepted arc, based on the inscribed angle theorem. In order words, the measure of the intercepted arc in a circle, is always twice the measure of the inscribed angle in the circle.

1. Measure of intercepted arc EF = 106° [given]

Measure of inscribed angle EDF = 1/2(measure of arc EF) [inscribed angle theorem]

Substitute

Measure of inscribed angle EDF = 1/2(106)

Measure of inscribed angle EDF = 53°

2. m<DCB + m<DQB = 180° [opposite angles of a cyclic quadrilateral add up to 180 degrees]

Substitute

m<DCB + 88 = 180

m<DCB + 88 - 88 = 180 - 88

m<DCB = 92°

3. m<VWS = 1/2(measure of arc VS) [inscribed angle theorem]

Substitute

m<VWS = 1/2(74)

m<VWS = 37°

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Which personal expense did the Penders spend more on than they had budgeted? Refer to Figure 3.4 on page 165 of the ebook or at the back of the packet. Figure 3.4.pdf Download Figure 3.4.pdf

Group of answer choices

Credit Cards & Clothing

Clothing

Clothing & Pocket Money

Credit Cards & Pocket Money

Answers

The personal expense that the Penders spent more on than they had budgeted is:

Credit Cards & Pocket Money to the tune of $ 23.75 (Option C)

What is a budget?

A budget is an estimate of revenue and costs for a given period of time that is generally created and re-evaluated on a regular basis. Budgets may be created for an individual, a group of individuals, a company, a government, or almost anything else that generates and spends money.

What is the justification for the above answer?

The budgeted amount for Credit Card was $50. Total amount spent was $60. Hence the excess amount spent is $10.

The budgeted amount for Pocket money was $80. Total amount spent was $93.75. Hence the excess amount spent is $13.75.

Hence total amount spend over budget is $23.75

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Find the missing number so that the equation has no solutions.
x+1=

2x–6


Answers

The missing number so that the equation has no solutions is -7/3.

How to calculate the equation?

The equation given is represented by:

x+1 = -2x–6

It should be noted that we just have to find the value of x. This will be

x+1 = -2x–6

x + 2x = -6 - 1

3x = -7

x = -7/3

Therefore, the value of x is -7/3.

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Prove that (1+cos⁡α)(1-sec⁡α)=-sin⁡α tan⁡α

Answers

We need to prove

(1 + cos a)(1 - sec a) = -sin a tan a

LHS

= (1 + cos a)(1 - sec a)

= 1 -sec a + cos a - cos a sec a

= 1 - sec a + cos a - cos a (1/cos a)

= 1 - sec a + cos a - 1

= cos a - sec a

= cos a - 1/cos a

= [tex]\frac{cos^{2}a - 1}{cos a}[/tex]

We know that [tex]sin^{2}a+ cos^{2}a = 1[/tex],

Then [tex]1 - cos^{2}a = sin^{2} a[/tex]

        [tex]cos^{2}a - 1 = -sin^{2}a[/tex]

= [tex]-\frac{sin^2a}{cos a}[/tex]

= [tex]-\frac{(sina)(sina)}{cosa}[/tex]

=[tex]- (sin a)(\frac{sin a}{cosa} )[/tex]

We know that tan a = sin a / cos a

= - sin a tan a

= RHS

                                        LHS = RHS

                                     Hence Proved

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Bella needs to order some new supplies for the restaurant where she works. The restaurant needs at least 503 glasses. There are currently 295 glasses. If each set on sale contains 10 glasses, which inequality can be used to determine ss, the minimum number of sets of glasses Bella should buy?

Answers

The inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.

How to use inequality to represent a situation?

She needs to order some new supplies for the restaurant where she works.

The restaurant needs at least 503 glasses.

Each set on sale contains 10 glasses.

The inequality that can be used to determine the minimum number of sets of glasses Bella bought is as follows:

Therefore,

x =  number of sets

Hence,

295 + 10x ≥ 503

10x ≥ 503 - 295

10x ≥ 208

x ≥ 208 / 10

x ≥ 20.8

Therefore, the inequality that can be used to determine the minimum number of sets of glasses Bella bought is x ≥ 20.8.

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7. The supply and demand curves for a new widget are shown in the
graph. Notice there are two demand curves. The original demand
curve is d. Months after the product was introduced, there was
a possible health concern over use of the product, and demand
dropped to the new demand cürve, d. The movement of the
demand curve is called a shift

Answers

Based on the demand curves and the movement of the demand curve, the equilibrium price before the demand shift is b and the equilibrium quantity before the demand shift was e.

What was the equilibrum price?

The equilibrium price refers to the price at the point where the supply and demand curves meet on the graph.

Before the shift in demand, the equilibrium price was at Price b which was the intersection between demand curve d1 and the Supply curve.

The equilibrium quantity was the quantity at this equilibrium price and this was Quantity e.

Rest of the question is:

a. What was the equilibrium price before the demand shift?b. What was the equilibrium quantity before the demand shift?

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