HELPPPP.

Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?​

Answers

Answer 1

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer 2

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.


Related Questions

At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?

Answers

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

I need help :( this is like super hard I dont know what the anser is

Answers

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Answer:*******************brainliest

Answers

Answer:

How is your day going lol

Step-by-step explanation:

was this supposed to be a question lol>

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

fine the exact rationalized value of sin(25π/6)

Answers

Answer: 1/2 1 over 2 if you didn’t know that’s fraction form and decimal form it’s 0.5

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.

Answers

Answer:

30° and 150°

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

Answer:

30 and 150

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth

Answers

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

True or False: A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.

Answers

Answer: True

The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).

CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT

Answers

The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?​

Answers

Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.

A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?​

Answers

It is 65 miles because 3 times 20 is 60, a fourth of 20 is 5, so you add them together and get 65 miles

Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete

Answers

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)

Answers

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?

Answers

Answer:

42°

Step-by-step explanation:

Subtract: 63 - 21 = 42°

Answer:

42°F

Step-by-step explanation:

63-21=42°F

if it fell, it means it went down, so it got colder

Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5

Answers

The answer is B. 320. 64 bags times 5 items in each bag.

what is the slope of ( -4,-1) , (8 - -7)

Answers

The formula to find slope is:
Rise over run —> y2 - y1 / x2 - x1
Plug in the numbers.
-7 - (-1) / 8 - (-4)
Simplify.
Hope I helped:)

Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O

Answers

Answer:

8x-3y=3

Step-by-step explanation:

Its the only one that would give you a negative x

If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left

Answers

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63

Answers

Answer:

B. X = 76, y = 63, z = 104

Step-by-step explanation:

46+58+x=180

104+x=180

x=180-104

x=76

riddle
What runs around the whole yard without moving?

Answers

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor

Answers

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

x = 250

∵ x represents the number of hamburgers

There were 250 hamburgers sold on Saturday.

Please help me I will really appreciate it!!!

Answers

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?

Answers

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

The slope of the line that contains the point (1,9) and (4,3) would be -2.

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Find the 39th term of the following sequence. 17,11, 5, -1

Answers

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

Translate the following statement: "Your grade, g, must be at least
75 to pass this class."

Answers

Answer:

"Your grade, g, must be at least  75 to pass this class'' is translated as:

g ≥︎ 75

Step-by-step explanation:

Given the grade is denoted by 'g'.

In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.

As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.

Therefore, "Your grade, g, must be at least  75 to pass this class'' is translated as:

g ≥︎ 75

Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x

Answers

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Substitute:                         1.7² + 3(1.7)Exponents:                        2.89 + 3(1.7)Multiply:                             2.89 + 5.1Add:                                   7.99
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