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2 years ago

SOMEONE HELP ME PLEASE

Mathematics

1 answer:

Alina [70]2 years ago

4 0

9514 1404 393

Answer:

log4(2) = 0.5000

Step-by-step explanation:

You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...

2 = 6/3

Taking logs base 4, you have ...

log4(2) = log4(6/3) = log4(6) -log4(3)

log4(2) = 1.2925 -0.7925

log4(2) = 0.5000

<em>Additional comment</em>

This is consistent with your knowledge of factors of 4:

√4 = 4^(1/2) = 2

log4(2) = 1/2

Here, we're using "log4" to mean the base-4 logarithm.

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3/4 of what number is 8 more than 25

Ainat [17]

Answer:

3/4 of 44 is 8 more than 25

Step-by-step explanation:

8 more than 25, is 33.

33 is 3/4 of 44.

because 33 divides by 3 will be 11, then times 4, you will get 44.

7 0

3 years ago

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mojhsa [17]

Answer:

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2 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

$(-5x-7)\log(4)=(2x-1)\log(6)$

We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

3 0

3 years ago

Rusty is 5.75 feet tall and casts a 7 foot shadow find the angle of elevation from the tip of the shadow to the top of Rusty’s h

11Alexandr11 [23.1K]

Answer:

Ф = 39.4 degrees

Step-by-step explanation:

The ratio 5.75 / 7 is the tangent of the angle of elevation. Using the inverse tangent function on a calculator returns Ф = 39.4 degrees.

5 0

3 years ago

The supplement of an angle is 3 times the complement of an angle.

-Dominant- [34]

Let’s says that x is the measure of the angle. X and it’s supplement are equal to 180. X and it’s complement are equal to 90. The supplement is s and the complement is c. S is times c which is the same as 3c.

3c + x = 180

C+x = 90
X = 90 - c

3c + 90 - c = 180
2c = 90
C = 45

The complement of. 45 degree angle is 45 degrees.

The angle is 45 degrees.

6 0

3 years ago