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erma4kov [3.2K]

2 years ago

10

Condense logarithmic equation PLEASE!

1 answer:

skelet666 [1.2K]2 years ago

5 0

This is the answer: log_5(d^4 * k^12)

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What is the simplified value of the exponential expression 16^1\4

Natalka [10]

If you observe that $16 = 2^4$ , you can rewrite the expression as

$16^{\frac{1}{4}} = (2^4)^{\frac{1}{4}}$

Now, if you use the exponent rule $(a^b)^c = a^{bc}$ , you may rewrite the expression again:

$(2^4)^{\frac{1}{4}} = 2^{4\cdot\frac{1}{4}} = 2^1 = 2$

6 0

3 years ago

Which equation is not a linear equation? Question options: a) –4v + 2w = 7 b) x4= y c) x = -5 d) 2x + 3y = 5

Semmy [17]

Answer: Option b

$x^4= y$

Step-by-step explanation:

Linear equations have the following form:

$a_1x^n + a_2y^m + a_3w^s + a_4v^h = b$

Where the exponents n, m, s and h are always 0 or 1

To know which equations are nonlinear, identify among the options given, those that have exponents other than 1 or 0

Note that in option b) the exponent of the variable x is $n = 4$ therefore the equation is nonlinear

Finally the answer is the option b

3 0

3 years ago

suppose a circle with center (1,-3) passes through point (1,-1). Which equation represents the circle ?

horsena [70]

Answer:-4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

so

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

for every three short horned lizards there are two fence lizards. If there are 54 short horned lizards how many fence lizards ar

Komok [63]

Answer: 36

Step-by-step explanation:

54/3 = 18 x 2 = 36

8 0

2 years ago