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GaryK [48]
2 years ago
5

This number is in scientific notation. 2. 4 × 10-4 Convert the number into standard notation. What is the value? 2. 4 × 10-4 =.

Mathematics
1 answer:
Dimas [21]2 years ago
7 0
2.4x10^-4 = 0.00024
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Find the unit rate. round to the nearest hundred if necessary
Lina20 [59]
360÷60=60 60 miles per hour    6840÷45=152 152 costumes per day   45.5÷13=3.5 rounded to nearest hundred= 4 4 meters per second    $7.40<span>÷5=$1.48 rounded to nearest hundred = 1 $1 per pound</span>
3 0
3 years ago
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?
siniylev [52]

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume  = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

7 0
3 years ago
How do you solve what is 30% of $240
DerKrebs [107]
The Answer would be x=72. Why? Because \frac{x}{240} =  \frac{30}{100}.   Fraction  \frac{30}{100} is your %.  You Cross multiply 240 * 30 = 100x
240 time 30 = 7200. you want x to  be alone so you do 7200 divided by 100 equaling 72. So you get x=72. 
6 0
4 years ago
What is the equation for​
WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line(m_1) = 0.25

Let m_2 be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

\Rightarrow m_1 \cdot m_2=-1

\Rightarrow 0.25\cdot m_2=-1

\Rightarrow m_2=\frac{-1}{0.25}

\Rightarrow m_2=-4

Point-slope intercept formula:

y-y_1=m(x-x_1)

x_1=-6, y_1=8 and m=-4

Substitute these in the formula, we get

y-8=-4(x-(-6))

y-8=-4(x+6)

y-8=-4x-24

Add 8 on both sides of the equation.

y-8+8=-4x-24+8

y=-4x-16

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0
3 years ago
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