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2 years ago

PLS HELP ME UNDERSTAND THIS

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

6 0

Answer:

Exact form: 44/15

Decimal form: 2.93 repeating

Mixed number form: 2 14/15

Step-by-step explanation:

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Please help me with this please

Yanka [14]

Answer:

4 feet

Step-by-step explanation:

Let x be the height of the tower when finished.

We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.

This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.

5/8*x=2 and 1/2

Let us convert our given mixed fraction into an improper fraction.

5/8*x=5/2

Let us multiply both sides of our equation by 8/5.

8/5*5/8*x=5/2*8/5

x=8/2

x=4

5 0

3 years ago

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$

We can replace there s = 215 ft to get

$215=16t^2+32t$

Solving for the time t.

From the previous equation we can move all terms in one side to get

$16t^2+32t-215=0$

At this point we can solve for t using quadratic formula.

$t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a, b and c are the coefficients of the quadratic equation

$at^2+bt+c=0$

So we get

$a=16\\b=32\\c=-215$

Replacing on the quadratic formula we get

$t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}$

Using a calculator we get

$t=-4.8 , t = 2.8$

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0

3 years ago

Find the number of pens

Semenov [28]

There are 44 pens in all

5 0

3 years ago

Which is the most precise definition of a circle?

faltersainse [42]

D. The set of all points in a plane that are equidistant from a fixed point.

5 0

3 years ago

Read 2 more answers

What is the value of k if the line 5x+ky=12 passes through the point (2,-1).

olchik [2.2K]

Answer:

k = -2

Step-by-step explanation:

1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.

5x + ky = 12

5(2) + k(-1) = 12

2. Simplify

5(2) + k(-1) = 12

10 + (-k) = 12

10 - k = 12

2. Isolate k

10 - k = 12

-k = 12-10

-k = 2 <= here multiply both sides by (-1)

k = -2

5 0

3 years ago