If i = V-1, then (3 – i)(3+ i) =

Over the weekend halverson had put together 3/16 if a jigsaw puzzle while jamie put together 10/16 of the puzzle. Who had coplet

Luden [163]

Answer:

Jamie. by 7/16

Step-by-step explanation:

Halverson completed: 3/16

Jamie completed: 10/16.

To understand who completed more, look at the denominator. The common denominator is 16. Assume a puzzle has 16 pieces and Halverson did 3 out of 16 and Jamie did 10 out of 16. This means Jamie did more.

If you want to know by how much Jamie did more, it would be the difference of both the fraction. This means that 10 done by Jamie minus 3 done by Halverson, which is 7. So 7 out of 16 is the difference.

$\frac{10}{16} -\frac{3}{16}$

7 out of 16 can be written as 7/16

6 0

3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

The volume of a cylinder is 225π cubic inches,

aleksklad [387]

The value of the height of the cylinder is 25cm.

According to the statement

we have to find that the height pf the cylinder with the given value of the volume.

So, For this purpose we know that the

The volume of a cylinder is the density of the cylinder which finds that the amount of material it can carry. Cylinder's volume is given by the formula, πr^2h.

From the given information:

The volume of a cylinder is 225π cubic inches, and the radius of the cylinder is 3 inches.

Then

volume = πr^2h

225π = π3^2h

Now, solve it then

225 = 9h

h = 25.

The value becomes 25.

So, The value of the height of the cylinder is 25cm.

Learn more about volume of a cylinder here

brainly.com/question/9554871

#SPJ9

5 0

1 year ago

Consider the rational number, −0.4. Is the number greater than −2 and 1/3 but less than 4/5 ?

8_murik_8 [283]

Answer:

No

Step-by-step explanation:

Since the rational number -0.4 is a negative, it cannot have a greater value than 1/3 since it is a positive.

Though, the rest of the sentence is true.

-0.4 > -2

-0.4 < 4/5

3 0

3 years ago

Write an expression to describe the sequence below. Use n to represent the position of a

MrRa [10]

Answer:

n+1=x-1

Step-by-step explanation:

as n goes up, x decreases by 1 each time

7 0

3 years ago