Find the value of x. Round to the nearest tenth.

HELP WITH THIS QUESTION!!(will give thanks)(Your suppose to determine the pattern and then fill in 3 of the rest)(Its the third

Bond [772]

3) you’re subtracting 9 each time.. the 3 missing numbers are -39,-48,-57

3 0

2 years ago

Read 2 more answers

Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A balloon, rising vert

Liula [17]

Answer:

(a) 2.79 seconds after its release the bag will strike the ground.

(b) At a velocity of 73.28 ft/second it will hit the ground.

Step-by-step explanation:

We are given that a balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

Assume the acceleration of the object is a(t) = −32 feet per second.

(a) For finding the time it will take the bag to strike the ground after its release, we will use the following formula;

$s=ut+\frac{1}{2} at^{2}$

Here, s = distance of the balloon above the ground = - 80 feet

u = intital velocity = 16 feet per second

a = acceleration of the object = -32 feet per second

t = required time

So, $s=ut+\frac{1}{2} at^{2}$

$-80=(16\times t)+(\frac{1}{2} \times -32 \times t^{2})$

$-80=16t-16 t^{2}$

$16 t^{2} -16t -80 =0$

$t^{2} -t -5 =0$

Now, we will use the quadratic D formula for finding the value of t, i.e;

$t = \frac{-b\pm \sqrt{D } }{2a}$

Here, a = 1, b = -1, and c = -5

Also, D = $b^{2} -4ac$ = $(-1)^{2} -(4 \times 1 \times -5)$ = 21

So, $t = \frac{-(-1)\pm \sqrt{21 } }{2(1)}$

$t = \frac{1\pm \sqrt{21 } }{2}$

We will neglect the negative value of t as time can't be negative, so;

$t = \frac{1+ \sqrt{21 } }{2}$ = 2.79 ≈ 3 seconds.

Hence, after 3 seconds of its release, the bag will strike the ground.

(b) For finding the velocity at which it hit the ground, we will use the formula;

$v=u+at$

Here, v = final velocity

So, $v=16+(-32 \times 2.79)$

v = 16 - 89.28 = -73.28 feet per second.

Hence, the bag will hit the ground at a velocity of -73.28 ft/second.

8 0

2 years ago

Which expression is a factor of x^2 + 2x – 15?

Ksju [112]

To factor this you need values that add up to 2 and multiply to -15

So you get 5,-3 then you put it into your equation for you b value

X^2+5x-3x-15

Then you can factor by grouping

X(x+5)-3(x+5)

So your factors are

(X+5)(x-3)

7 0

2 years ago

Spencer has a Doctorate degree and earns an annual salary of $96,000. He works 40 hours per week for 48 weeks per year. His brot

Stells [14]

Answer:

23 or 23.00

Step-by-step explanation:

Im very very intelligent

6 0

2 years ago

8x-3=15x+18<br> a. x=-3<br> b. x=3<br> c. x=2.1<br> d. x=0.9

natka813 [3]

8x - 3 = 15x + 18

First, subtract 8x from both sides. / Your problem should look like: $-3 = 15x + 18 - 8x$
Second, simplify 15x + 18 - 8x to 7x + 18. / Your problem should look like: $-3 = 7x + 18$
Third, subtract 18 from both sides. / Your problem should look like: $-3 - 18 = 7x$
Fourth, subtract -3 - 18 to get -21. / Your problem should look like: $-21 = 7x$
Fifth, divide both sides by 7. / Your problem should look like: $-\frac{21}{7}$ = x
Sixth, simplify $\frac{21}{7}$ to 3. / Your problem should look like: $-3 = x$
Seventh, switch sides. / Your problem should look like: $x = -3$

Answer: x = -3

6 0

2 years ago