A garden has 2500 trees. Out of which, 15 percent are Orange trees, 30 percent are mango trees, and the rest are lemon trees. Find the number of each variety of tree. a) Orange trees: 375, Mango trees: 750, Lemon trees: 1375 b) Orange trees: 400, Mango trees: 800, Lemon trees: 1300 c) Orange trees: 450, Mango trees: 900, Lemon trees: 1150 d) Orange trees: 500, Mango trees: 1000, Lemon trees: 1000

Answers

Answer 1

Answer: the answer is A. :)))

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Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?
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Ten people are entered in a race. If there are no ties, in how many ways can the first three places come out?A. 1440

B. 720

C. 30

D. 132

Answers

B) 720 different possibilities

Answer: (720) is the right answer

Step-by-step explanation:

A hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute. The total cubic feet of air a(t) is a function of the in minutes t. a. Identify the independent and dependent variables. b. What values of the domain and range make sense for this situation? Explain. c. Write a function to represent the total amount of air. Then determine the total amount of air in 6 minutes.

Answers

a. The independent variable is the variable whose variation does not depend on that of another, it is often denoted by x.
In our case independent variable is time in minutes
The dependent variable is the volume of air in the balloon.

b] The domain of the of this situation is:
[0≤t≤15]
this is because t will take 15 minutes for the balloon to get filled.

The range of the situation will be:
[0≤a(t)≤90000]

c]The function that represents this situation is a linear function given by:
y=ax+b
where:
a=rate/slope
b= initial amount of air in the balloon=0
Thus our function will be:
a(t)=6000t

d]
The total amount of air in the balloon after 6 minutes will be given by:
from
a(t)=6000t
a(6)=6000(6)
a(6)=36000 cubic feet

Which of the following graphs represents the function f(x) = −x2 − x + 6

Answers

Hope it helped :) ................

graph with 2 real zeros, down on left, down on right or answer B

Can you please help me find the area?

Answers

Answer:

40 in

Step-by-step explanation:

A= l x w

2 x 9 = 18

2 x 11 = 22

Then add together because the shape is together:

18 + 22 =

The height y (in feet) of a punted football is given by -16/2025x^2 + 9/5x + 2.5 where x is the horizontal distance (in feet) from the point at which the ball is punted. (a) How high is the ball when it is punted?
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
(c) How long is the punt? (Round your answer to two decimal places.)

Answers

a) The ball is 2.5 feet high when it is punted ( for: x=0 )
b) The maximum height ( formula for the parabola):Ymax= $(4ac-b^(2) )/(4a)= (4* (-16)/(2025)*25- (9)/(5)^(2) )/(4* (-16)/(2025) )$
Finally: Ymax= 105.02 feet.
c)We will find how long is the punt with the formula:
$- (16)/(2025) x^(2) + (9)/(5)x +2.5=0$
We will multiply it by 2025 to avoid the fractions:
$-16 x^(2) +3645x+5062.5=0$
And we will solve it:
$x_(12) = \frac{-b\pm \sqrt{b^(2) -4ac} }{2a}= (-3645\pm √(13286025+324000) )/(-32) x_(1)= (-3645-3689.1767)/(-32)$
x=229.19 feet.
We will except this answer because another one is negative.

What is the soultion to -3x7=28.

Answers

the answer is x= -29/21

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