1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
15

A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude

of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Mathematics
2 answers:
liberstina [14]3 years ago
6 0

Answer:

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

ohaa [14]3 years ago
3 0

Answer:

y(t)=(-90\frac{feet}{minute})t+2000feet

Step-by-step explanation:

Given the linear function in the form

y=mx+b

We are going to represent the situation using the linear function.

We are going to call the variable ''x'' time. We can write x = t ⇒

y=mt+b

y(t) will be the altitude function that depends on the variable ''t'' that is time in minutes.

In the instant t=0minutes the hot air balloon has an altitude of 2000 feet ⇒

y(0)=2000feet=m(0)+b=b ⇒ b=2000feet

We can think that the slope ''m'' is the constant rate of the function.

Given that the hot air balloon descends, m ⇒m=-90\frac{feet}{minute}

Now we write the function :

y=mt+b\\

y(t)=(-90\frac{feet}{minute})t+2000feet

For example, when t = 0 ⇒

y(0)=(-90\frac{feet}{minute}).0+2000feet=2000feet

Or if we want to find the time when the hot air balloon finally descends :

0=(-90\frac{feet}{minute})t+2000feet

t=\frac{-2000feet}{-90\frac{feet}{minute}}=22.222minutes

You might be interested in
Help me please! :) <br><br> which one is it
Sonja [21]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin
solniwko [45]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the the vines infested using Pernod 5 and vines infested using Action. The population proportion of the vines infested using Pernod 5 and vines infested using Action would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of the vines infested using Pernod 5 and vines infested using Action.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For vines infested using Pernod 5,

x1 = 26

n1 = 410

p1 = 26/410 = 0.063

For vines infested using Action,

x2 = 39

n2 = 400

P2 = 39/400 = 0.098

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (26 + 39)/(410 + 400) = 0.08

1 - pc = 1 - 0.08 = 0.92

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.063 - 0.098)/√(0.08)(0.92)(1/410 + 1/400) = - 0.035/0.019066

z = - 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.033

We would double this area to include the area in the right tail of z = 1.84 Thus

p = 0.033 × 2 = 0.066

By using the p value,

Since alpha, 0.01 < than the p value, 0.066, then we would fail to reject the null hypothesis.

Therefore, At a 1% level of significance, we cannot conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action

5 0
3 years ago
Please help with #7!!!
ioda

Answer:

44

Step-by-step explanation:

Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)

Here f(x) is divided by (x + 4), thus remainder is calculated as

f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)

       = - 64 + 5(16) + 28

       = - 64 + 80 + 28 = 44 ← Remainder

8 0
3 years ago
What is slope of B E with bar above A E in simplest form?
Annette [7]
This is the one
<span>C. Start Fraction 25 over 4 End Fraction
</span>
7 0
3 years ago
The area of a pentagon increased by 27 is the same as four times the area of the pentagon, minus 15. what is the area of the pen
Basile [38]
Set up an algebraic equation. This is what it looks like based on what the question tells you:

Let a = area of pentagon
a+27 = 4a-15
3a-15 = 27
3a = 42
a = 14
6 0
3 years ago
Other questions:
  • Solve for x. -8 - 7x = -5x - 10
    6·1 answer
  • -6.56 × 14.2 = !!!!!
    11·1 answer
  • Please help! :D
    8·2 answers
  • PLEASEEEEE HELPPPPPPP
    5·1 answer
  • A candy bar cost the store $0.79. The store wants a 65% mark up. What would the price of the candy bar be to have a 65% mark up?
    6·1 answer
  • A washer and a dryer cost $710 combined. The washer costs $40 less than the dryer. What is the cost of the dryer?
    9·2 answers
  • If r = 12, what is the value of t?
    12·2 answers
  • Determine the value of theta to the nearest degree if cot(theta) = 2
    9·1 answer
  • The number of employees for a certain company has been decreasing each year by 5%. If the company currently has 900 employees an
    14·1 answer
  • Mr. DiBello ordered pizzas for a party and organized the information into a table. If Mr. DiBello paid a total of $121.55, how m
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!