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3 years ago

3x10^to the power of negative 1 as a normal number

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

0.3

Step-by-step explanation:

1.) Remember PEMDAS. You have to solve for exponents before you multiply. So, 10 to the power of -1 is 0.1

2. Then you have to multiply 3x0.1 and you get your answer, 0.3

Hope that this helps :)

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Change these times to the 12-hour clock.

shepuryov [24]

Answer:

12.45 pm

7.30 pm

00 00

20 15

5 0

3 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

The wheel of an adult's bicycle has diameter 26 in. The wheel of a child's bicycle has diameter 18 in. To the nearest inch (whol

GREYUIT [131]

Answer:

25.136 in

Step-by-step explanation:

Given data

Adult bicycle wheel

Diameter= 26in

Radius= 26/2= 13in

Circumference= 2πr

Circumference= 2*3.142*13

Circumference= 81.692 in

Child's bicycle

Diameter= 18in

Radius= 18/2= 9in

Circumference= 2πr

Circumference= 2*3.142*9

Circumference= 56.556 in

Hence the difference in the distance traveled in one revolution is the difference in their circumference

Distance= 81.692 -56.556

Distance= 25.136 in

3 0

3 years ago

What is 1800 to the nearest 100th

frutty [35]

A hundredth is 0.01

A hundred is 100.

You look at the digital to the right of the 1, in the example above. If that digit is 5 or greater, round up, other round down.

In both cases, you will look at the 0, therefore you would round down.

1800 to the nearest hundredth is 1800.00.

1800 to the nearest hundred is 1800.

7 0

4 years ago

The area of a rectangle is 18 square feet. If the perimeter is 18 feet, find the length and width of the rectangle.

ioda

Answer:

L= 18 W=1 sorry if it was wrong but I gave it a shot

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers