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sergejj [24]
3 years ago
15

Each letter from the word MATHEMATICS is written on a separate slip of paper. The 11th slips of paper are placed in a hat and tw

o slips are drawn at random. If the first letter is not replaced find the probability that the first letter is a vowel (a,e,I,o,u) and the second letter is a vowel
Mathematics
1 answer:
amid [387]3 years ago
6 0
It may be possibly 4 out of 9
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Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tom
erik [133]

Answer:

The equation that describes the path of the water balloon is:

y =-\frac{1}{10}\cdot (x-10)^{2}+15

Step-by-step explanation:

The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from A(x,y) = (0\,ft, 5\,ft) and hits Arnold at B(x,y) = (20\,ft, 5\,ft). Given the property of symmetry of quadratic function, water ballon reaches its maximum at C(x,y) = (10\,ft,15\,ft), which corresponds to the vertex of the standard equation of the parabola, whose form is:

y = a\cdot (x-h)^{2}+k (Eq. 1)

Where:

a - Vertex parameter, measured in \frac{1}{ft}.

h, k - Horizontal and vertical components of the vertex, measured in feet.

x, y - Horizontal and vertical location of the ball, measured in feet.

If we know that x = 0\,ft, y = 5\,ft, h = 10\,ft and k = 15\,ft, the vertex parameter is:

5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft

a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}

a = - \frac{1}{10}\,\frac{1}{ft}

The equation that describes the path of the water balloon is:

y =-\frac{1}{10}\cdot (x-10)^{2}+15

6 0
4 years ago
Solve the inequality.<br> r+ 4 - 2r - 14) &gt; 0
makkiz [27]

Answer:

Step-by-step explanation:

Here you go mate

PEMDAS

Parenthesis

Exponents

Multiplication

DIvision

Addition

Subtraction

Step 1

(r+4-2r-14)>0  equation/Question

Step 2

(r+4-2r-14)>0  Simplify to remove parenthesis

-r-10>0

Step 3

-r-10>0  Add 10 to sides

-r-10+10>0+10

-r>10

Step 4

-r/-1>10/-1  cross multiply (which also means divide)

answer

r<-10

3 0
3 years ago
Please help! ill mark you as brainleist if you get it correct!​
sveta [45]

Answer:

7.96

Step-by-step explanation:

50/3.14

15.92

15.92/2

7.96

4 0
3 years ago
Read 2 more answers
1 + 1 express as fraction
lana66690 [7]

Answer: 2 over 1

Step-by-step explanation:

1+1=2

However we want this as a fraction

Any whole number as a fraction is just over one

Therefore the final answer is 2 over 1

You’re welcome Kaeya!

3 0
2 years ago
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A weather balloon is dropping at a rate of 4/3 miles per hour from an
Archy [21]
Asgeblaoaoahavsanalao
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