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dimulka [17.4K]
3 years ago
5

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Step-by-step explanation:

The height of the swipe card is given by :

h(t)=-3t^2+15t+18 .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.

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Tashia paid two months rent and a $500 security deposit when she signed her lease. In total, she paid $2,400.
fiasKO [112]

The equation that represents the scenario is  2x + 500 = 2400

The cost of one month rent is $950

She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.

let

the cost of a month rent = x

Therefore,

<h3>Total cost Equation</h3>
  • 2x + 500 = 2400

The cost of the one month rent can be calculated as follows:

  • 2x + 500 = 2400
  • 2x = 2400 - 500
  • 2x = 1900
  • x = 1900 / 2
  • x = $950

Therefore, the equation that represent the scenario and cost of one month rent are as follows;

  • 2x + 500 = 2400
  • cost of one month rent = $950

learn more on equation here: brainly.com/question/8057577

5 0
2 years ago
Which two of the following numbers round to 36.2 if were rounding to the nearest tenth
Rashid [163]

Answer:

36.0

Step-by-step explanation:

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4 years ago
What is the slope of 2y-4=8x
snow_lady [41]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets
Minchanka [31]

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

<em>Number of staff tickets sold</em> = 3

<em>Number of students tickets sold</em> = 2

<em>Total revenue day</em> 2 = $52

let

<em>cost of staff tickets</em> = x

<em>cost of students tickets</em> = y

The equation:

<em>3x + y = 38 (1)</em>

<em>3x + y = 38 (1)3x + 2y = 52 (2)</em>

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

brainly.com/question/22940808

8 0
3 years ago
Find the most common factor of 120 and 300
Nadusha1986 [10]
Answer: 60

Greatest common factor of 120 = 60
And since 60 is also a common factor of 300 it is the greatest common factor of both numbers.

Hope this helps :)
8 0
3 years ago
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