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3 years ago

14

Please help need this done ASAP

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

a) 56548.7 cm³

b) 13 minutes

Step-by-step explanation:

a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)

Fill in r=30 gives: 56548.7 cm³

b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes

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Steven works at a large home appliance store. He earns a base salary of $20,000 plus commission which can be modeled by the equa

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A

B is incorrect because commission=0.1x
C is incorrect because base pay is 20,000
D is incorrect because highest pay is out question

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3 years ago

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35% of ___ days is 42 days

azamat

(35/100)*42= 14.7 days.

This principle apples to all form conversion that requires finding a percentage of a number.

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2 years ago

Three tennis balls are packaged in a box as shown below. The box is 12.1 centimeters long, 3.5 centimeters wide, and 3.5 centime

grin007 [14]

The volume is 91.8cm³

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2 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

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2 years ago

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lakkis [162]

Answer:

<h2>x= -2</h2>

Step-by-step explanation:

$8x - 3 = - 19$

Collect like terms and simplify

$8x = - 19 + 3 \\ 8x = - 16$

Divide both sides of the equation by 8

$\frac{8x}{8} = \frac{ - 16}{8}$

Simplify

$x = - 2$

4 0

3 years ago

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