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Lyrx [107]
3 years ago
11

A helicopter hovers over a mountain top, and a professional snowboarder drops onto the snow 252525 feet below. the snowboarder's

height off the ground, in feet, while falling can be modeled by a quadratic function of seconds of falling, ttt, which has the form h(t) = d - at^2h(t)=d−at 2 h, left parenthesis, t, right parenthesis, equals, d, minus, a, t, start superscript, 2, end superscript. if the snowboarder is still 212121 feet above the ground after falling for 0.50.50, point, 5 seconds, how long does the entire 252525 foot drop take? round your answer to the nearest hundredth of a second.

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0
Given:
  h(t) = 25 - a·t²
  h(0.5) = 21

Find:
  t such that h(t) = 0

Solution:
  h(0.5) = 25 - a·0.5² = 21
  25 - 21 = a/4
  4·4 = a = 16
Then
  h(t) = 25 - 16t²
We want h(t) = 0, so
  0 = 25 - 16t²
  16t² = 25
  t² = 25/16 = (5/4)²
  t = 5/4 = 1.25

It takes 1.25 seconds for the entire 25 ft drop.

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The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left pa
Semenov [28]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given

K = 0.03W/m°C

Required

Convert K to W/cm°C

Since 1m = 100cm,

K = 0.03w/1×100cm°C

K = 3×10^-2w/10² cm°C

K = 3 × 10^-2w/10² cm°C

K = 3w× 10^{-2-2}cm°C

K = 3w×10^-4cm°C

K = 0.0003w/cm°C

8 0
3 years ago
Four times a number was 22 greater than twice the same number. What was the number?
Setler [38]

Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> <u>4x</u>

"was" -> <u>=</u>

"22 greater than" -> <u>22 +</u>

"twice the same number" -> <u>2x</u>

Put the underlined parts together to get <u>4x = 22 + 2x</u>

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to (2x2)(3x3)(4x)2?
Lera25 [3.4K]

Given expression: (2x^2)(3x^3)(4x)^2.

In order to simplify it to get an equivalent expression, we need to multiply all terms.

Let us simplify (4x)^2 = 4^2x^2 = 16x^2

Therefore,  (2x^2)(3x^3)(4x)^2=(2x^2)(3x^3)(16x^2).

(2x^2)(3x^3)(16x^2)=2 \times 3 \times 16 \times (x^2 \times x^3 \times x^2).

=96x^{2+3+2}

96x^{7}.

<h3>Therefore, (2x^2)(3x^3)(4x)^2 is equivalent to 96x^{7}.</h3>
8 0
3 years ago
Read 2 more answers
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
stepladder [879]

Answer: 196

Step-by-step explanation:

As per given , we have

Population standard deviation: \sigma=0.6\ lb

Significance level : \alpha: 1-0.98=0.02

Using the z-value table , the critical z value for 98% confidence : z_{\alpha/2}=2.33

Margin of error : E= 01 lb

Sample size : n=(\dfrac{z_{\alpha/2}\cdot\sigma}{E})^2

n=(\dfrac{(2.33)\cdot(0.6)}{0.1})^2

Simplify , we get

n=195.4404\approx196

Hence, the minimum sample size required for books = 196

8 0
3 years ago
If -x = 20, then x = ?
katrin2010 [14]

Answer:

- x = 20 \\ so \: x \: will \: be \:  =  - 20

Hope it helps!

7 0
3 years ago
Read 2 more answers
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