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vovangra [49]
2 years ago
6

Explain how solve 4x + 3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for

x in your answer. Round your answer to the nearest thousandth. ANSWER ASAP PLEASE
Mathematics
1 answer:
kvasek [131]2 years ago
8 0
Answer:
x=1
Step-by-step explanation:
Given is an exponential equation

Subtract 3 from both the sides
We get

Taking log

=1
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The measure of an inscribed circle of an angle is the measure of the intercepted arc
Andre45 [30]

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

4 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 21 ft wide and 34 ft long. She wants to leave
Daniel [21]

Answer:

Dimensions of the rug = 13 ft × 26 ft

Step-by-step explanation:

Dimensions of the room = 21 ft × 34 ft

Area of the room = 21 × 34 = 714 ft²

Cynthia wants to leave a uniform strip of floor around the rug.

Let the width of the rug = x ft

Then the dimensions of the rug will be = (21- 2x)ft × (34 - 2x)ft

Area of the rug = (21 - 2x)×(34 - 2x) square feet

338 = (21 - 2x)×(34 - 2x)

338 = 714 - 68x - 42x + 4x²

4x² - 110x + 714 - 338 = 0

4x² - 110x + 376 = 0

2x² - 55x + 188 = 0

2x² - 47x - 8x + 188 = 0

x(2x - 47) - 8(x - 47) = 0  

(x - 4)(2x - 47) = 0

x = 4, \frac{47}{2}

For x = 23.5 area of the rug will be negative.

Therefore, x = 4 ft will be the width of the rug.

Dimensions of the rug will be 13 ft × 26 ft. 

7 0
3 years ago
I need help fast please and no fies
givi [52]

Answer:

x=-16

Step-by-step explanation:

from x=-3 to get to y=12 u need to multiply x=-3 by -4 to get to 12 so for y=64 u need to divide by -4 which equals x=-16

4 0
3 years ago
Read 2 more answers
Gabby is packing for her family's vacation. She has 5 tops, 3 bottoms, and 2 pairs of shoes. Assuming she wears a top, bottom, a
Doss [256]

Answer:

30

Step-by-step explanation:

4 0
3 years ago
Divide and simplify. √36 x⁴ / √9 x⁶
Vikki [24]

The divide and simplify of the equation √36 x⁴ / √9 x⁶ will result to  \frac{2}{x^{2} }

Let's begin by simplifying the equation;

Simplify the equation by finding the square root of both 36 and 9

The square root of 36= 6

The square root of 9= 3

= \frac{6x^{4} }{3x^{6} }

The above equation can also be written as;

=  6x^{4}  * 3x^{-6}

The next step is to solve the powers, that is,

=   \frac{6x^{4} }{3x^{6} }

Cancel out 6 by 3 and get  2

The result is,  

=  \frac{2}{x^{6-4} }

The final submission result is,

=  \frac{2}{x^{2} }

To find more on divide and simplify, go to: brainly.com/question/16356152

#SPJ4  

7 0
1 year ago
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