If 203 turnips are to be shared equally among 7 rabbits. how many should each rabbit receive?

He center of a circle represented by the equation (x + 9)2 + (y − 6)2 = 102 is

maksim [4K]

centre = ( - 9, 6)

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a , b) are the coordinates of the centre and r is the radius

(x + 9)² + (y - 6)² = 102 is in this form

with centre = ( - 9 , 6 )

4 0

3 years ago

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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

6 0

3 years ago

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Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mi

kakasveta [241]

Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons.

Calculate :

a. Per unit mineral cost.

b. Total material cost of December 31, 2020, inventory

c. Total materials cost in cost of goods sold at December 31, 2014.

Answer:

a. Per unit mineral cost is $21

b. Total material Cost of ending inventory is $161280

c. Total materials cost in cost of goods sold is $443520

Step-by-step explanation:

The Per unit mineral cost can be computed as follows:

Details Amount ($)

Cost of land 975900

Add: Restoration obligation 110700

Add: Development cost 246000

1332600

Less: Resale value of property 123000

Total cost of land 1209600

Divide:Total estimated cost 57600

of minerals

Per unit mineral cost 21

b. The ending inventory cost on December 31, 2020 can be calculated as follows:

Ending inventory = Total mined tons - sold tons

Ending inventory = 28800 - 21120

Ending inventory = 7680

Cost per ton= $21

Cost of ending inventory = 7680 × $21

Cost of ending inventory = $161280

c.To calculate the cost of goods sold in December 2020; we have:

Cost per ton = $21

Total units sold = 21120

Cost of goods sold = 21120 × $21

Cost of goods sold = $443520

5 0

3 years ago

What is the area of the figure below? A. 31.5 m B. 63 m C. 84 m D. 126 m

lapo4ka [179]

Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.

For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.

$14*4.5=63$

ANSWER: B. 63 square meters.

6 0

3 years ago

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A sweatshirt that was originally priced at $42.50 has been marked down to $34.00. What is the percent decrease?

vichka [17]

Answer:

The answer is 20%

I hope this helps :)

6 0

3 years ago

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If 203 turnips are to be shared equally among 7 rabbits. how many should each rabbit receive?​

If 203 turnips are to be shared equally among 7 rabbits. how many should each rabbit receive?