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1 year ago

Rewriting exponential expressions

Mathematics

1 answer:

olya-2409 [2.1K]1 year ago

4 0

Answer:

-65/81

Step-by-step explanation:

$( \frac{2}{3} ) {}^{x} ( \frac{2}{3} ) {}^{4} - ( \frac{2}{3} ) {}^{x}$

$(\frac{2}{3} ) {}^{x} ( \frac{16}{81} - 1)$

$( \frac{2}{3} )( \frac{ - 65}{81} )$

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Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?

ycow [4]

9514 1404 393

Answer:

(x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

L = P + t·<em>v</em>

where P is the given point and <em>v</em> is the given direction vector. Using that form, we have ...

(x, y, z) = (2+44t, 2+14t, 7-20t)

If you like, you can remove a common factor of 2 from the coefficients of t.

(x, y, z) = (2+22t, 2+7t, 7-10t)

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2 years ago

Please help and thank you

mamaluj [8]

Answer:

Step-by-step explanation:

a is defined first as 5. So a = 5.

b is defined after the circle b = -2

a^2 = 5^2 = 25

B^4 =(- 2)^4 = 16

Therefore sqrt(a^2 * b^4) = sqrt(25 * 16) = sqrt(400) = 20

The answer is C

5 0

2 years ago

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What function corresponds to the ordered pairs shown in the table?

Anettt [7]

well, we know it's a line, and to get the equation of any line all we need is two points, let's pick two from the table hmmmm say let's use (-3 , -7) and (3 , 11)

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2$

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2 years ago

Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out th

AnnZ [28]

Answer:

3:2

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles

The cost of each white tile was £2

The cost of each blue tile was £4

Therefore the total cost of 48 white tiles is

= 48×2

= £96

The total cost of 16 blue tiles is

= 16×4

= £64

The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor

The greatest common factor of £96 and £64 is 32

96/32 = 3

64/32= 2

Ratio= 3:2

Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2

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3 years ago

X^2 +18 =15 could anyone help me with this?

stiv31 [10]

Answer:

x = i√3, -i√3

Step-by-step explanation:

Simply take the root of both sides, then solve.

8 0

2 years ago

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