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tatuchka [14]
3 years ago
5

A container was 1/2 filled with water. when 200 ml of water was poured out, it became 1/3 full. find the capacity of the contain

er in milliliters.
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0
<span>the capacity of the container in milliliters would be </span>167ml all together 
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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
If angle ASE measures 168. Find the measure of the angle DSE. The Figure may not be drawn to scale?
SpyIntel [72]
Alrighty, so, without the picture and the clues given I'm going to assume the image you have looks like two angles coming from the middle of a straight line. A straight line is equal to 180 degrees. 180 degrees minus 168 degrees equals 12. 
7 0
4 years ago
Is P - 1 upon p = 4 find P + 1 upon p whole square​
zlopas [31]

Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below

<h3>Data obtained from the questio</h3>
  • (p - 1/p) = 4
  • p² + 1/p² = ?

<h3>How to determine the value of p² + 1/p²</h3>

(p - 1/p) = 4

Square both sides

(p - 1/p)² = (4)²

(p - 1/p)² = 16 ....(1)

Recall

(a - b)² = a² + b² - 2ab

Thus,

(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)

(p - 1/p)² = p² + 1/p² - 2

From equation (1) above,

(p - 1/p)² = 16

Therefore,

p² + 1/p² - 2 = 16

Rearrange

p² + 1/p² = 16 + 2

p² + 1/p² = 18

Thus, the value of p² + 1/p² is 18

Learn more about algebra:

brainly.com/question/953809

#SPJ1

6 0
2 years ago
Complete the two-column proof by providing a reason for each of the five statements.
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Given:

RUTS is a rectangle.

To prove:

∠USR ≅ ∠SUT

                  Statements                            Reasons

1. RUTS is a rectangle                   1. Given

2. RU = ST, UT = RS                      2. By the definition of a rectangle

3. ∠STU = ∠SRU = 90°                  3. Definition of a rectangle

4. ΔURS ≅ ΔSTU                           4. By the LL theorem of congruence

5. ∠USR ≅ ∠SUT                           5. CPCTC

4 0
3 years ago
Read 2 more answers
What is the mean of these groups of numbers? 1,1,5,3,6,6
igor_vitrenko [27]
Mean
add up numbers and divide by how many there are
(1+1+5+3+6+6)/7=3 and 2/3
8 0
3 years ago
Read 2 more answers
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