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AysviL [449]
3 years ago
9

A model rocket is launched from a raised platform at a speed of 144 feet per second. Its height in feet is given by h(t) = -16t

2 + 144t + 20 (t = seconds after launch). After how many seconds does the object reach its maximum height? 20 seconds
6.5 seconds
2.25 seconds
4.5 seconds
Mathematics
1 answer:
Temka [501]3 years ago
4 0
I think its 4.5 seconds
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MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.
lapo4ka [179]

Answer: j=0.4

-j+0.8=-0.9j+0.76

-j+0.8+0.9j=-0.9+0.76+0.9j

-0.1j+0.8=0.76

-0.1+0.8-0.8=0.76-0.8

-0.1j=-0.04

-0.1j/-0.1=-0.04/-0.1

j=0.4

Ya have a good day.

5 0
3 years ago
Read 2 more answers
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
3 years ago
3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions​
Crank

Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions

7 0
3 years ago
The population of Portland Oregon has recently grown to more than 500,000. What is the order of magnitude for the number of peop
miss Akunina [59]

Answer:

Order is 6

Step-by-step explanation:

The population of Portland Oregon has recently grown to more than 500,000.

The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,

P=500,000

It contains 6 zeroes. It means,

P=5\times 10^6

So, the order of magnitude for the number of people in Portland is 6.

5 0
3 years ago
If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t
Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:  

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting  

(x + -5) equal to 3.464101615 and -3.464101615.

6 0
2 years ago
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