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diamong [38]
2 years ago
12

Graph the following features: • Y-intercept = 2 • Slope =1/3 PLEASE HELP

Mathematics
1 answer:
Alex Ar [27]2 years ago
5 0

Answer:

Step-by-step explanation:

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Find the area of the shaded region. Round your answer to the nearest tenth if needed.<br><br> 4B
AlexFokin [52]

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

4. 136.1

5 0
3 years ago
Let W (a) = a^3- a^2 Find W (2)
grin007 [14]

Answer:

4

Step-by-step explanation:

plug in 2 for the a variables and you get 4 as the answer.

8 0
3 years ago
A fire department spend $900 to purchase a new helmets and gloves the amount included a 6% sales tax what was the price of the e
Kisachek [45]

Answer:

$954

Step-by-step explanation:

900 x 0.06=

54+ 900=

954

7 0
3 years ago
Read 2 more answers
What is (−2.1)⋅(−1.4)
professor190 [17]
Multiplying a negative number and another negative number makes the product positive.
So (-2.1)*(-1.4) = 2.94
8 0
1 year ago
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