A unknown number X is almost 20 which graph best represents all the values of X

from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second

anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

$d=-16t^2 +vt+h$

we know that

When the arrow reach the water the value of d is equal to zero

we have

$v=90\ ft/sec$

$h=486\ ft$

$d=0\ ft$

substitute the values and solve for t

$0=-16t^2 +(90)t+486$

$-16t^2+90t+486=0$

Multiply by -1 both sides

$16t^2-90t-486=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$a=16\\b=-90\\c=-486$

substitute in the formula

$t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}$

$t=\frac{90(+/-)\sqrt{39,204}}{32}$

$t=\frac{90(+/-)198}{32}$

$t_1=\frac{90(+)198}{32}=9\ sec$

$t_2=\frac{90(-)198}{32}=-3.375\ sec$

the solution is t=9 sec

see the attached figure to better understand the problem

4 0

3 years ago

Large Reusable bottles cost four dollars more than small ones eat large bottles cost $24 less than small ones how much does one

madam [21]

Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

7 0

3 years ago

Algebra 1!!! I need help ASAP!!

vesna_86 [32]

To understand the algebra, go through the following equations below:

First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 & $1^{2}$ , stage 2 = 2 & $2^{2}$ , stage 3 = 3 & $3^{2}$
Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 + $5^{2}$ = 30, Stage 12: 12 + $12^{2}$ = 156

Part B

First equation : y = $n^{2}$ + n

second equation: y = n + (n*n)

<h3>Meaning of algebra</h3>

Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )

Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.

In conclusion, the above are the solution to the questions on the attached image.

Learn more about algebra: brainly.com/question/22399890

#SPJ1

5 0

2 years ago

Which of the following expressions would find 12 percent of 5?

qwelly [4]

12 percent of 5 You can find by
(12/100)*5

4 0

3 years ago

Can someone help me with this? It is fractions.

ankoles [38]

Draw 2 circles, and divide it into 8 equal sections....shade one ☝️ in each one of the pizza and you got your answer....(add the shading part.)

8 0

3 years ago