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3 years ago

Jenny makes 5 out of every 6 foul throw shots she attempts. If she missed 36 foul throw

Mathematics

1 answer:

sergeinik [125]3 years ago

6 0

Answer:

216

Step-by-step explanation:

If she makes 5/6 foul throw shots, she misses 1/6;

So, if she misses 36 foul shots missed, she attempts 6 times as many;

Therefore, we just need to multiply 36 by 6:

36×6 = 216

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

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

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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3 years ago

Algebra Parent Functions Graph

umka2103 [35]

Answer:

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Exponential and logarithmic graphs are the similar, logarithmic graphs just reflect exponential graphs. Cubic root is like the one shown, just horizontal.

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3 years ago

A rectangle has side lengths (2x-5) meters and (2x+6) meters. Write a linear expression in simplest form to represent the perime

RideAnS [48]

I’m pretty sure the answer is 12 expresion

7 0

3 years ago

John has a ribbon that was 1 1/2 meters long. He used 2 pieces that were each 1/3 of that length. How much ribbon did John use?

Bond [772]

Answer:

1 meter.

Step-by-step explanation:

1 1/2 * 1/3

= 3/2 * 1/3

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= 1/2.

So John used 2*1/2 = 1 meter of the ribbon.

5 0

4 years ago

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Step-by-step explanation:

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