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2 years ago

The height in feet is modelled by the function below, where the t is in

Mathematics

1 answer:

Sedaia [141]2 years ago

6 0

The object reaches the lowest height at 5 seconds

<h3>How to determine the time?</h3>

The function is given as:

f(t) = -2t² +22t + 6

Differentiate the function

f'(t) = -4t +22

Set to 0

-4t +22 = 0

Subtract 22 from both sides

-4t = -22

Divide both sides by -4

t = 5.5

Remove decimal points

t = 5

Hence, the object reaches the lowest height at 5 seconds

Read more about quadratic functions at:

brainly.com/question/1214333

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Which of the following equations is a solution for 5745?

iris [78.8K]

Answer:

Step-by-step explanation:

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3 years ago

What is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.

Anton [14]

Answer:

The standard deviation of the numbers is 16.154 the given observations are 77 45 72 56 98 60 70 89 50 80 95 70 34 77 65 70 70 82 86 86

.Step-by-step explanation:

I hope this helped !

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3 years ago

Geometry what is the answer

lesantik [10]

Answer:

x ≈ 58.0°

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for x

cos x° = $\frac{adjacent}{hypotenuse}$ = $\frac{9}{17}$ , thus

x = $cos^{-1}$ ( $\frac{9}{17}$ ) ≈ 58.0°

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3 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

1 + y < 25<br> 101 + 6y > 200

vlada-n [284]

Step-by-step explanation:

i.1+y<25

y<25-1

y<24

ii.101+6y>200

6y>200−101

6y>99

y>99/6

y>33/2

5 0

4 years ago