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3 years ago

A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?

Mathematics

2 answers:

tatyana61 [14]3 years ago

8 0

Answer:

i just want the points lol bye gurrlllllll

Step-by-step explanation:

Marina CMI [18]3 years ago

7 0

Answer:

The answer is 28%

Step-by-step explanation:

You multiply them.

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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

Stella [2.4K]

A parabola is a mirror-symmetrical U-shape.

The equation of the parabola is $\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$
The focus is $\mathbf{Focus = (80, -1760)}$
The directrix is $\mathbf{y = \frac{1}{640}}$
The axis of the symmetry of parabola is: $\mathbf{x = 80}$

From the question, we have:

$\mathbf{Vertex: (h,k) = (80,10)}$

$\mathbf{Origin: (x,y) = (0,0)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

Substitute the values of origin and vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{0 = a(0 - 80)^2 + 10}$

$\mathbf{0 = a(- 80)^2 + 10}$

$\mathbf{0 = 6400a + 10}$

Collect like terms

$\mathbf{6400a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{640}}$

Substitute the values of a and the vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

The focus of a parabola is:

$\mathbf{Focus = (h, \frac{k+1}{4a})}$

Substitute the values of a and the vertex in $\mathbf{Focus = (h, \frac{k+1}{4a})}$

$\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}$

$\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}$

$\mathbf{Focus = (80, -11\times 160)}$

$\mathbf{Focus = (80, -1760)}$

The equation of the directrix is:

$\mathbf{y = -a}$

So, we have:

$\mathbf{y = \frac{1}{640}}$ ----- the directrix

The axis of symmetry is:

$\mathbf{x = -\frac{b}{2a}}$

We have:

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

Expand

$\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}$

Expand

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}$

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }$

A quadratic function is represented as:

$\mathbf{y = ax^2 + bx + c}$

So, we have:

$\mathbf{a = -\frac{1}{640}}$

$\mathbf{b = \frac{1}{4}}$

Recall that:

$\mathbf{x = -\frac{b}{2a}}$

So, we have:

$\mathbf{x = -\frac{1/4}{2 \times -1/640}}$

$\mathbf{x = \frac{1/4}{1/320}}$

This gives

$\mathbf{x = \frac{320}{4}}$

$\mathbf{x = 80}$

Hence, the axis of the symmetry of parabola is: $\mathbf{x = 80}$

Read more about parabola at:

brainly.com/question/21685473

6 0

3 years ago

In a spelling bee, Anish's placement is both the 11th highest and the 25th lowest among all the spellers who participated. How m

Vlad [161]

Answer: There are 35 spellers participated in the spelling bee.

Step-by-step explanation:

Since we have given that

Rank of Anish's placement at the highest = 11 th

Rank of Anish's placement at the lowest = 25 th

We need to find the number of spellers participated in the spelling bee.

So, Number of spellers participated in the spelling bee is given by

Highest + Lowest - 1

= 11 + 25 - 1

= 36 - 1

= 35

Hence, there are 35 spellers participated in the spelling bee.

4 0

3 years ago

One solution 19x+18=-19x+18

masya89 [10]

19x + 18 = -19x + 18

19x + 19x = 18 - 18

38x = 0

x = 0

3 0

3 years ago

SOMEONE PLEASE HELPPP PLEASE ASPAAP

Feliz [49]

<h3>Answer: 35</h3>

==========================================================

Explanation:

Check out the diagram below.

U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV

TU + UV = TV

17 + 18 = TV

35 = TV

TV = 35

Segment TV is 35 units long.

5 0

3 years ago

What is the area of this triangle

timama [110]

Answer:

i think its 60

Step-by-step explanation:

base times height then divide by 2

5 0

3 years ago

Read 2 more answers