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olasank [31]
2 years ago
13

David is throwing a stone in the air at an angle from the ground with an initial velocity of 30 feet per second. The equation gi

ves the height of the stone thrown. Find the maximum height of the stone.
(SHOW WORK)
Mathematics
1 answer:
Shtirlitz [24]2 years ago
7 0

Answer:

42 feet.

Step-by-step explanation:

h=-10t² + 40t +2

The vertex of the quadratic function described by the equation is located at

 t = -(40)/(2(-10)) = 2

Next is to find the value of height at t=2 will be

 h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet

The maximum height is 42 feet.

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A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was 347. How m
Colt1911 [192]

Answer: 367 tractors



Step-by-step explanation:


6 0
2 years ago
19. The population of Jose's town in 1995 was 2400 and the population in 2000 was
Fantom [35]

The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.

<u>Solution:</u>

Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,  

Let x represent the number of years since 1995.  

We have to write a linear equation, in slope- intercept form, that represents this data.

Now, let the change in population per year be p.

Then, population in a year = population change per year \times number of years + population in 1995.

⇒population in a year = p\times x + population in 1995

⇒ population in a year = p \times x + 2400

Here we have an case that, population in 2000 is 4000  

Then, number of years since 1995 = 5  

So, 4000 = p \times 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320

Then, our equation will be population in a year = 320x + 2400  

Considering the population in a year as y ⇒ y = 320x + 2400.

Hence, the linear equation in slope intercept form is y = 320x + 2400.

5 0
2 years ago
A maple tree loses 384 leaves during the first week of fall, and 3/2 as many each successive week. At the end of 7 weeks, all th
Ksenya-84 [330]

Answer:

12,354 leaves

Step-by-step explanation:

Leaves fallen from a maple tree = \sum_{n=0}^{6}  = 384(\frac{3}{2} )^{n}

At the end of 7 weeks

= 384 + 384(1.5) + 384(1.5)² + 384(1.5)³ + 384(1.5)⁴ + 384(1.5)⁵ + 384(1.5)⁶

= 12,354 leaves

12,354 leaves fell from the tree.

4 0
2 years ago
yen calculates the product 5/8 x 24/25. before he multiplies, he simplifies all the factors. what does the problem look like aft
PolarNik [594]
\frac{1}{1} *  \frac{3}{5}


Hope this helps!
5 0
2 years ago
Read 2 more answers
a five foot boy casts a 2 foot shadow. At the same time the shadow of the court house tower is 25 feet in length. How tall is th
erastovalidia [21]

Answer:

The court house tower should be 51 feet tall.

Step-by-step explanation:

2.5+2.5=5 feet because 2+2=4 and 0.5+0.5=1. 4+1=5

25.5+25.5=51 because 25+25=50 and 0.5+0.5=1. 50+1=51

7 0
2 years ago
Read 2 more answers
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