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GalinKa [24]
3 years ago
16

Use the power property to rewrite log3x9.

Mathematics
2 answers:
Kitty [74]3 years ago
9 0

Answer:

\log _3\left(x^9\right)=9\log _3\left(x\right)

Step-by-step explanation:

Given the expression

\log _3\:x^9

now rewriting the expression

\log _3\:x^9

\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0

=9\log _3\left(x\right)

Therefore,

\log _3\left(x^9\right)=9\log _3\left(x\right)

dexar [7]3 years ago
7 0

Answer:

B

Step-by-step explanation:

edge

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Can i please get some help on this one ASAP!
never [62]

Answer:

This is a 4th degree polynomial!

Step-by-step explanation:

Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.

Hope this helps, good luck! :)

4 0
3 years ago
Find the first four terms of the sequence given the rule:<br> an = 4(5)n-1
EleoNora [17]

Answer: 4, 20, 100, 500

Step-by-step explanation:

Assuming that the sequence starts at 1:

Plug in 1, 2, 3, and 4 to the a(n) function to get:

4, 20, 100, 500

5 0
4 years ago
Convert the following measurements.
stepan [7]
1) Convert the following measurements.
<span>a. 2 cubic yards to cubic feet
1 cubic yard-------- > 27 cubic feet
2---------------------- X
x=2*27=54 cubic feet

</span><span>b. 135 cubic feet to cubic yards
</span>1 cubic yard-------- > 27 cubic feet
x----------------------- 135
x=135/27=5 cubic yard

c. 6,912 cubic feet to cubic inches
1 cubic feet--------------- > 1728 cubic inches
6912 cubic feet------------- x
x=11943936 cubic inches

<span>d. 279,936 cubic inches to cubic feet
</span>1 cubic feet--------------- > 1728 cubic inches
x------------------------------ 279,936 cubic inches
x=162 cubic feet

2) <span>Solve the following addition problem. Remember to carry as necessary.

7 cu. yd. 9 cu. ft. 134 cu. in. + 1 cu. yd. 12 cu. ft. 200 cu. in.
</span>7 cu. yd
9 cu. ft-------- > 9/27=0.33333 cu yd
134 cu. in-----> 134*2.1433e-5=0.00287
1 cu. yd
12 cu. ft------- 12/27=0.44444 cu yd
200 cu. in----200*2.1433e-5=0.00429 cu yd

(7+0.33333+0.00287)+(1+0.44444+0.00429)=8.78493 cu yd

3 <span>Solve the following subtraction problem. Remember to borrow as necessary.

9 cu. yd. 113 cu. in. – 4 cu. ft. 129 cu. in.
</span>9 cu yd
113 cu in---------113*2.1433e-5=0.00242 cu yd
4 cu. ft--------4/27=0.14814 cu yd
129 cu. in----------129*2.1433e-5=.00276
(9+0.00242)-(0.14814+.00276)=8.85152 cu yd

4 <span>Solve the following multiplication problem.

11 cu. yd. 17 cu. in. × 135
</span>11 cu yd
17 cu in----------17*2.1433e-5=0.00036 cu yd

(11+0.00036)*135=1485.0486 cu yd

5 <span>What’s the capacity of a 3 cubic foot carton in cubic inches?
3 cu feet---------> 3*1728=5184 cu in

6 
</span>The Great Pyramid was built in Egypt more than 4,000 years ago. It was built by King Khufu, or Cheops, who intended to use it as a tomb. The pyramid contains about 2,300,000 blocks of stone, each weighing 2 1⁄2 tons. Can you calculate the approximate total weight of the Great Pyramid, in pounds?
2 1/2=(4+1)/2=5/2=2.5
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7 
<span>Convert the following liquid measures. 
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b. 128 tablespoons to fluid ounces -----*0.5=64 fluid onces
c. 93 pints to quarts --------*0.5=46.5 quarts
d. 13 quarts to cups ---*4=52 cups
e. 69 teaspoons to tablespoons---------*0.3333=23 </span>tablespoons<span>
f. 112 cups to gallons--------*0.0625= 7 </span>gallons<span>
g. 18 fluid ounces to teaspoons---------*6=108 </span>teaspoons<span>
h. 3 gallons to fluid ounces-----*128= 384 ounces
</span>
8 
A local dairy farmer collects 490 gallons of milk a day from his cows. He keeps 1⁄35 of the milk for his own use, and sells the rest. Each quart of milk sells for 35 cents. In dollars, how much does he earn from selling his milk each day? (There are 100 cents in a dollar.)

(34/35)*490=476 gallons to sell------------> *4=1904 quarts
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9 
A swimming pool has a capacity of 1,386 cubic feet. One gallon of water will fill 231 cubic inches of space. How many gallons of water will it take to fill the entire pool? (Hint: Convert the capacity of the pool to cubic inches first.)
1,386 cubic feet----------> *1728=2395008 cu in
1 gallons will fill --------------- > 231 cu in of space
x--------------------------------- 2395008 cu in
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10 
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2 capfuls of detergent-----------> 1 gallon of water----------> 2 tablespoon
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x=11*2=22 
tablespoon
22 tablespoon-----------------> *0.5=11 fluid onces

11 
<span>Convert the following dry measurements.
a. 11 bushels to quarts -------*37,2367=409.60 quarts
b. 3 pecks to pints---------*18.6184=55.85 pints
c. 97 quarts to bushels ------ *0.02685=2.6044 bushels
d. 1,120 quarts to pecks--------* 0.107421=120.31 pecks
</span>
12 
Twelve apple pies can be made from one bushel of apples. How many apple pies can be made from one peck of apples?
1 peck---------> *0.25=0.25 bushel

12 apple pies-------------- > 1 bushel
x---------------------------------0.25 bushel
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13 
<span>Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what’s the total amount of plant food he uses in one year?

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</span>
5 0
4 years ago
How do you figure P added 6
r-ruslan [8.4K]

Answer:

huh

Step-by-step explanation:

4 0
3 years ago
Elenas anut bought her a 150$ saving bond when she was born. When elena is 18 years old, the bond will have earned a 106% in int
SpyIntel [72]

Answer:

The Amount after 18 years is $66,942,391.5

Step-by-step explanation:

Given as :

The principal invested in saving bond = p = $150

The Time period for the bond = t = 18 years

The rate of interest applied on bond = 106%

Let The Amount after 18 years = $A

<u>Now, From compound interest</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $150 × (1+\dfrac{\textrm 106}{100})^{\textrm 18}

Or, A = $150 × (2.06)^{\textrm 18}

Or, A = $150 × 446,282.61

∴ A = $66,942,391.5

So,The Amount after 18 years = A = $66,942,391.5

Hence,The Amount after 18 years is $66,942,391.5 Answer

7 0
3 years ago
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