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kipiarov [429]
2 years ago
14

The proof for the power property of logarithms appears in the table with an expression missing.

Mathematics
2 answers:
iVinArrow [24]2 years ago
7 0

Answer:

log_{b}(b^{x r})

Step-by-step explanation:

A picture of the question is shown in the figure attached. There we can see that the step corresponding to Properties of exponents is the option:

log_{b}(b^{x r})

which is equivalent to

log_{b}((b^{x})^{r})

Murljashka [212]2 years ago
5 0

Answer:

C

Step-by-step explanation:

on edge

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Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a
Oduvanchick [21]

Answer:

30 u^{2}

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}

where,

d_{1}=10\ and\ d_{2}=6

So, the area of the quadrilateral is

=\frac{1}{2}(10)(6)\\\\=30 u^{2}

4 0
1 year ago
A circular backyard pool has a diameter of 26 feet and is 4 feet deep. One cubic foot of water has a capacity of approximately 7
klasskru [66]
Find the water volume of the pool.  The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.

Now convert this 676 cu. ft. to gallons:

Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):

676*pi cu ft     7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
        1             1 cu ft

The cost of filling the pool will be

5056.48*pi gallons        $3
--------------------------- * ------------- = $48 (to the nearest dollar)
        1                           1000 gal
7 0
1 year ago
On the first day of a family road trip, Kai's family travels 365 miles.
Gekata [30.6K]
They traveled 292 miles on day two.

Known: On the first day they traveled 365 and on the second they traveled 20% less.

Solution:

If they traveled 20% less on the second day, that means they traveled 80% of the distance they traveled the first day.

365 miles * .8 = 292.

You could also solve this as:
20% of 365 is 73 miles
365 * .2 = 73.
So they traveled 73 less miles on the second day.
365 miles on the first day - 73 miles less on the second day = 292 miles.

I hope this helps!
7 0
1 year ago
Tulio Fernandez purchased a treadmill with an installment loan that has an APR of 12%. The treadmill sells for $1,672. The store
Misha Larkins [42]

22 i think and i hope mostly

7 0
1 year ago
Read 2 more answers
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

6 0
2 years ago
Read 2 more answers
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