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3 years ago

7

How many significant figures ? 0.002300

1 answer:

agasfer [191]3 years ago

6 0

Answer:

4

Step-by-step explanation:

Trailing zeros in a number with a decimal point are always considered to be significant. Leading zeros are not significant.

The significant digits are in bold. There are 4 of them.

0.002300

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A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz

Galina-37 [17]

The answer is <span>252.5 ft

</span><span>y = –0.004x</span>²<span> + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

</span>–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

$x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ 
=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}$

$x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ 
x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5$

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft

5 0

3 years ago

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Find the volume of a sphere with the diameter of 4

givi [52]

$d=4 \Rightarrow r=2\\V=\dfrac{4}{3}\pi r^3\\
V=\dfrac{4}{3}\pi \cdot2^3\\
V=\dfrac{4}{3}\pi \cdot8\\
V=\dfrac{32}{3} \pi
$

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3 years ago

Alex bought string for $125. Other materials for $18. What is the total cost to make 50 puppets?

Lesechka [4]

(125+18) 50 = $7,150

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3 years ago

Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l

cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 2x-y=8. Expressed in the form y = mx + b, you get:

-y=8 - 2x

y= (-2x +8)÷ (-1)

y= 2x -8

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 2. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (2)

<u><em>slope perpendicular line= -</em></u> $\frac{1}{2}$

So, the perpendicular line has a form of: y= - $\frac{1}{2}$ x + b

The line passes through the point (9, 2). Replacing in the expression for perpendicular line:

2= (- $\frac{1}{2}$ )× 9 + b

2= - $\frac{9}{2}$ + b

2+ $\frac{9}{2}$ = b

<u><em /></u> $\frac{13}{2}$ <u><em>= b</em></u>

Finally, the equation of of perpendicular line is y= - $\frac{1}{2}$ x + $\frac{13}{2}$ .

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

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2 years ago

Simplify the given expression

Rashid [163]

Answer:

Step-by-step explanation:

you divide

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3 years ago

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