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dsp73
3 years ago
15

Solve and round to the nearest hundredth please!!!

Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

x = 0.96

Step-by-step explanation:

7 \times 16^{8x - 8} = 3

(2^4)^8(x - 1) = \dfrac{3}{7}

2^{32(x - 1)} = \dfrac{3}{7}

\log 2^{32(x - 1)} = \log \dfrac{3}{7}

32(x - 1)\log 2 = \log 3 - \log 7

(x - 1) = \dfrac{\log 3 - \log 7}{32}

(x - 1) = \dfrac{\log 3 - \log 7}{32\log 2}

x = \dfrac{\log 3 - \log 7}{32\log 2} + 1

x = 0.961800237...

Answer: x = 0.96

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Kamila [148]

Answer:

Yes, multiplication and division are inverse. yes, for the inverse equation. Yes, addition and subtraction are inverse. yes, for the inverse equation.

Step-by-step explanation:

EXAMPLES.

E.g 21 = 3x division

3x x = 21 inverse

E.g 5+x =8 addition

5=8-x inverse.

Thank you! :)

5 0
2 years ago
The area of a rectangle is expressed as ​x4​ ​ − 16​y^4​, determine & state the length and the width of the rectangle, expre
Bad White [126]

Answer:

Step-by-step explanation:

16 = 2 *2 * 2 * 2 = 2⁴

16y⁴ = (2y)⁴

x⁴ - 16y⁴ = x⁴ - (2y)⁴

              = (x²)² - [ (2y)² ]²    

 {Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}

              = (x² + (2y)² ) (x² - (2y)² )  

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7 0
2 years ago
Find the value of i^9
Tcecarenko [31]

Answer:

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Step-by-step explanation:

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2 years ago
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2 years ago
Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
2 years ago
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