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Y_Kistochka [10]
3 years ago
13

[HELP PLEASE] 12, 13, 14the last answer on 14 is log2 z over 11

Mathematics
1 answer:
skad [1K]3 years ago
4 0

(12)

we are given

log_2(9x)

we can also write it as

log_2(9x)=log_2(9*x)

now, we can use property of log

log_2(9x)=log_2(9)+log_2(x)...........Answer

(13)

log_3(\frac{x^4y^8}{2} )

we can use property of log

log(\frac{a}{b})=log(a)-log(b)

log_3(\frac{x^4y^8}{2} )=log_3(x^4y^8)-log_3(2)

we can use property of log

log(a*b)=log(a)+log(b)

log_3(\frac{x^4y^8}{2} )=log_3(x^4)+log_3(y^8)-log_3(2)

log(a^n)=n*log(a)

log_3(\frac{x^4y^8}{2} )=4log_3(x)+8log_3(y)-log_3(2)...........Answer

(14)

log_2(11)-log_2(z)

we can use property of log

log(\frac{a}{b})=log(a)-log(b)

we get

log_2(11)-log_2(z)=log_2(\frac{11}{z}).............Answer

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The manager of a baseball team has 15 players to choose from for his 9 person batting order
Masteriza [31]
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

6 0
3 years ago
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A birthday candle costs $0.84. How much do 6 birthday candles cost?
spin [16.1K]

Answer:

$5.04

Step-by-step explanation:

Take the cost of one candle and multiply the number of candles desired

6 *.84 =5.04

4 0
3 years ago
Read 2 more answers
Plz write this on paper help me and send it❤️
vovangra [49]

Answer:

1. 27^{\frac{2}{3} } =9

2. \sqrt{36^{3} } =216

3. (-243)^{\frac{3}{5} } =-27

4. 40^{\frac{2}{3}}=4\sqrt[3]{25} =4325

5. Step 4: (\frac{343}{27}) ^{-1} =\frac{27}{343}

6. D. -72cd^{7}

Step-by-step explanation:

Use the following properties:

a^{\frac{x}{y} } =\sqrt[x]{a^{y} }

\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}

a^{-n} =\frac{1}{a^{n} }

(xy)^{z} =x^{z} y^{z} \\\\

(x^{y}) ^{z} =x^{yz}

x^{y} x^{z} =x^{y+z}

So:

1. 27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9

2. \sqrt{36^{3} } =\sqrt{36*36*36} =\sqrt{36} \sqrt{36}  \sqrt{36} =6*6*6=216

3. (-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27

4. 40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325

5. (\frac{343}{27}) ^{-1} =\frac{1}{\frac{343}{27} } =\frac{27}{343}

6.

(-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}

7 0
3 years ago
I will mark brainiest if you answer ty also you can answer one of them or both tysm i will mark brainliest for both
rewona [7]

Step-by-step explanation:

a) The total cost C is given by

C = \$60n + \$40

b) If the total cost is $400, then we can solve for the number of hours as

\$400 = \$60n + \$40 \Rightarrow \$360 = \$60n

Solving for n, we get

n = \dfrac{\$360}{\$60} = 6\:\text{hrs}

5 0
2 years ago
Study the image. Find the pair of vertical angles.
pychu [463]

Answer:

<3 and <6 are Vertical angle and is the correct answer

Step-by-step explanation:

1) Vertical angle is The angles opposite each other when two or more line intersect each other or crosses each other.

Hopes this helps.

7 0
3 years ago
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