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ser-zykov [4K]
2 years ago
8

Condense the expression to the logarithm of a single quantity.​

Mathematics
1 answer:
vladimir1956 [14]2 years ago
7 0

Answer:

\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)

Step-by-step explanation:

-> Apply log rules

\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)

->

\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)

-> Apply basic math rules

\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)

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A recipe uses 2/3 cup of flour and 5/8 cup of blueberries. Is there more flour or more blueberries in the recipe?
gladu [14]
Hey there!
In order to compare these fractions, we can give them a common denominator.
Our least common multiple of 3 and 8 is 24. We multiply 2/3 by 8/8 and 5/8 by 3/3 to get
16/24 and 15/24
Therefore, 2/3 is bigger.
Hope this helps!
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3 years ago
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What are the answers to the ones that are circled
givi [52]
It is 395.3 use calculators or do the division out of paper
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You save $500 in a retirement account at age 25. Is increased an average of 10% per year until you are 65. Which formula and res
rewona [7]
A=p (1+r)^t
A=future value=?
P=principle=500
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t= time=65-25

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7 0
3 years ago
What is the area of the triangle?<br> 6<br> 21<br><br> units
Katen [24]

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

4 0
2 years ago
a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle ​
kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ x = \frac{Opposite}{Adjacent}

Tan\ x = \frac{5}{8}

Tan\ x = 0.625

Take arctan of both sides

x = tan^{-1}0.625

x = 32.0053832081

x = 32 (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ y = \frac{Opposite}{Adjacent}

Tan\ y = \frac{8}{5}

Tan\ y = 1.6

Take arctan of both sides

y = tan^{-1}1.6

y = 57.9946167919

y = 58 (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

6 0
2 years ago
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