6 pencils cost $0.99 how much would 16 pencils cost

If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

german

Answer:

$Time = 7.5\ seconds$

Step-by-step explanation:

Given

$Equation:\ h(t) = -16t^2 + 120t$

$Initial\ Velocity = 160ft/s$

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

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

becomes

$0 = -16t^2 + 120t$

Solve for t in the above equation

$-16t^2 + 120t = 0$

Factorize the above expression

$-4t(4t - 30) = 0$

Split the expression to 2

$-4t = 0\ or\ 4t - 30 = 0$

Solving the first expression

$-4t = 0$

Divide both sides by -4

$\frac{-4t}{-4} = \frac{0}{-4}$

$t = \frac{0}{-4}$

$t =0$

Solving the second expression

$4t - 30 = 0$

Add 30 to both sides

$4t - 30+30 = 0+30$

$4t = 30$

Divide both sides by 4

$\frac{4t}{4} = \frac{30}{4}$

$t = \frac{30}{4}$

$t = 7.5$

Hence, the values of t are:

$t =0$ and $t = 7.5$

$t =0$ shows the time before the launching the rocket

while

$t = 7.5$ shows the time after the rocket returns to the floor

5 0

3 years ago

Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

RUDIKE [14]

Answer:

m<2 = 125°, m<8 = 55° and m<14 = 100°

Step-by-step explanation:

The question is incomplete.

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

Given

m<9 = 80°

m<5 = 55°

From the diagram, m<5+m<6 = 180°

Substitute m<5 = 55° into the formula, to get m<6

55+m<6 = 180

m<6 = 180-55

m<6 = 125°

From the diagram m<6 = m<2 = 125° (corresponding angles)

Also on line e, m<9 = m<12 = 80° (vertically opposite angles)

On line f, m<14+m<16 = 180° and m<12 = m<16 = 80

m<14+80° = 180°

m<14 = 180-80

m<14 = 100°

Also on line f, m<5 = m<8 (vertically opposite angles)

Since m<5 = 55°, m<8 = 55°

Also on line e, m<10 + m<12 = 180

Since m<2 = m<10 = 125° (corresponding angle)

To get m<12,

125+m<12 = 180

m<12 = 180-125

m<12 = 55°

Also m<10 = m<14 = 125° (corresponding angle)

On line e, m<10 = m<11 = 125° (vertically opposite angle)

Also on line e, m<3 = m<11 (corresponding angle)

This shows that m<10 = m<11 = m<3 = 125°

From the above calculation the angle measure that are correct are:

m<2 = 125°, m<8 = 55° and m<14 = 100°

4 0

3 years ago

paul can finish painting a fence in 2 hours if jane douse the job alone she can finish it in 5 hours how long will it take them

NeTakaya

Answer: 40 minutes

Step-by-step explanation:

2/5 = .4 so it would be 40 minutes

4 0

2 years ago

The volume of the trapezoidal prism is m?.

Lubov Fominskaja [6]

Answer:

hello

Step-by-step explanation:

I'm new I'm just figuring this out

8 0

3 years ago

I have 7 students. Two of them love skateboarding, and five love biking. If my number of students doubles, but the ratio of pref

atroni [7]

Answer:

10 (love biking)

Step-by-step explanation:

The ratio is 2(Skateboarding):5(biking) which, when doubled is; 4(skateboarding):10(biking)

5 0

3 years ago

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