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3 years ago

10

Sarafina had 34 out of 99 hits when she was at bat during the softball season what was her batting average

1 answer:

prisoha [69]3 years ago

5 0

Sarafina's batting average is 2.91

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A new health drink has 110% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. H

ICE Princess25 [194]

110% of 30 is 30*(110/100)=30*1.1=33 mg

4 0

3 years ago

Read 2 more answers

You roll a 10 sided die. What is the probability of rolling a odd number and less than 4?

zzz [600]

Answer:

Probability of it being odd would be one half, and for less than four would be 2/10

Step-by-step explanation: Since it can only be odd the chance for it landing on odd is half.

then since it has to be lower than 4, and since there's only 1, and 3 that are odd and lower than four you would only have a 20 perecent chance of it landing on 1 or 3

8 0

3 years ago

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

$d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

3 0

3 years ago

Please answer I keep wasting my points and getting ignored

Anna11 [10]

Answer:

205 square ft

Step-by-step explanation:

1. Since his room is 12ft by 15.75ft, we can multiply to find the square ft needed to cover his room.

2. Since his closet is 2ft by 8ft, we can multiply to find the square ft needed to cover his closet.

3. Then, we add them to find how much carpeting is needed total.

4. (12*15.75)+(2*8)=189+16=205

8 0

2 years ago

Every 2/3 hour, Harris can sew 1/6 pair of jeans.

Lera25 [3.4K]

.25 or 1/4
i hope that this answer helps you today

6 0

3 years ago