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Hunter-Best [27]
3 years ago
13

4 divided by 5 minus radical 15

Mathematics
1 answer:
forsale [732]3 years ago
3 0
-3.073 that is the correct answer
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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
If T (n) =6-1 what is the 1st term.
Mariulka [41]
T(n)=6-1=5
that means all terms are 5 because n does not appear on the right hand side.

However, if T(n)=6n-1, then
first term = T(1)=6(1)-1=5,
but second term T(2)=6(2)-1=11...
8 0
3 years ago
Hi! Can you help me? Don’t forget about the work. Thank you so much.
Elan Coil [88]
See  the attached picture:

8 0
3 years ago
To simplify expressions, we often ___ like terms.
tekilochka [14]

Answer: combine

Step-by-step explanation:

When you combine like terms, it shortens or simplified the equation

Example: 2x-5+15

Combine actual numbers -5 and 15.

2x+10

6 0
2 years ago
Solve the equation<br> z/6 = 1/6<br><br>A. z= -36<br>B. z= 0<br>C. z= 1<br>D. z= 36
Elan Coil [88]
B                                                                                          B               B

B is the correct answer



3 0
3 years ago
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