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3 years ago

Rewrite the equation in logarithmic form: 4^3 = 64

Mathematics

1 answer:

storchak [24]3 years ago

8 0

4^3 = 64

log4 64 = 3

The exponent always comes to the other side.

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Which sequence of transformations carries ABCD onto HGFE?

Korvikt [17]

D.

Look at top left coordinate (2,-1)
Eight units left = (2-8,-1) = (-6,-1)
Reflection across x axis means change in y
(-6,-1) to (-6, 1) :)

6 0

3 years ago

A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

Area of the complete path including the pond area is given as:

$A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2$

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

$A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2$

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0

3 years ago

Read 2 more answers

Given the line segment , state the ratio of the segment partitions as. Be sure to reduce fractions

Effectus [21]

Answer/Step-by-step explanation:

Line segment AB consists of segment AC and segment CB.

AC = 7 cm

CB = 21 cm

The entire segment, AB = 21 + 7 = 28cm

The ratio of the segments partitions can be stated as follows:

Ratio of AC to CB = AC:CB = 7:21 = 1:3 = $\frac{1}{3}$

AC is ¼ of AB $(\frac{1}{1 + 3} = \frac{1}{4})$

CB is ¾ of AB $(\frac{3}{1 + 3} = \frac{3}{4})$

4 0

3 years ago

What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?

Alinara [238K]

Answer:

Step-by-step explanation:

did you get the answer?

6 0

3 years ago

Read 2 more answers

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr

valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0

3 years ago