MATHEMATICS HIGH SCHOOL

A new toy store is giving away 20 modelairplanes; 9 are blue, 6 are red, and 5 are
black. An airplane is selected at random and
given to a customer. If the airplane is red,
what is the probability that the next airplane,
selected at random, is also red?

Answers

Answer 1
Answer:

Answer:

C. 1/8

Step-by-step explanation:

Hope this helped

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Factor 9x6 – 16 y completely.First factor each term.9x6 = (__)?16y6 = ()2Then use a? - b2 = (a - b)(a + b). Show your work.9x6 – 16y6 =
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Which figures demonstrate a rotation? somebody please help!
Is the answer a, b, c, or d

What fraction of a pound is 40p

Answers

1.00+100⇒40p as a fraction of  £ 1.00 is 40p/100p=2/5=12

Convert 54 3/4 into decimal notation.

Answers

Answer: 54 and 3/4 can be written as 54.75 in decimal notation.

What is the simplified base for the function f(x) = 2(3√27(2x)?2
3
9
18

Answers

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : f(x)=2 \sqrt[3]{27^(2x)}

To find : The simplified base of the function f(x)  

Solution:

Now, we solve the equation  

f(x)=2 \sqrt[3]{27^(2x)}

f(x)=2(27^x)^{(2)/(3)}  

f(x)=2(3^(2x))  

f(x)=2((3^2)^(x))  

f(x)=2(9^(x))  

Therefore, the  simplified base of the function f(x) is 9

Answer:

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

(x^m)^n = x^(mn)

\sqrt[n]{x^b} = x^{(b)/(n)}

Given the function:

f(x) = 2\sqrt[3]{27^(2x)}

We can write 27 as:

27 = 3 \cdot 3 \cdot 3 = 3^3

then;

f(x) = 2\sqrt[3]{(3^3)^(2x)}

Apply the exponent rules:

f(x) = 2\sqrt[3]{3^(6x)}

Apply the exponent rules:

f(x) =2 \cdot (3^(6x))^{(1)/(3)} = 2 \cdot 3^(2x)

⇒f(x) = 2 \cdot (3^2)^x = 2 \cdot 9^x

⇒f(x) =2 \cdot 9^x

On comparing with exponential function f(x) = ab^x where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

What is the median of 37, 39,40, 42,42, 45, 48, 49, 51, 52?

Answers

To find a median, first order the numbers from least to greatest, or vice versa.
Then, the middle number in that sorted list is the median.

But, this list is already sorted.
So, the median is 42 & 45.

Technically, the answer is 42 & 45.

The middle of 42 & 45, however, is 43.5

Hope this helped!
The median is ........... 
43.5

3 equivalent ratio for 7/8

Answers

14/16 (multiplied by 2)
70/80 (multiplied by 10)
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If allelse fails andyou can't think of any, just multiply both numbers by 10's

if  sin (α+β) = 1,  sin (α-β) = 1/2 then tan (α+2β) tan(2α+β) = a. 1          b.-1            c.0              d. none

Answers

\alpha;\ \beta\in(0^o;\ 90^o)\n\nsin(\alpha+\beta)=1\to sin(\alpha+\beta)=sin90^o\to\alpha+\beta=90^o\n\nsin(\alpha-\beta)=(1)/(2)\to sin(\alpha-\beta)=sin30^o\to\alpha-\beta=30^o\n\n +\left\{\begin{array}{ccc}\alpha+\beta=90^o\n\alpha-\beta=30^o\end{array}\right\n---------\n.\ \ \ \ \ \ \ 2\alpha=120^o\ \ \ /:2\n.\ \ \ \ \ \ \ \ \ \alpha=60^o\n\n60^o+\beta=90^o\ \ \ /-60^o\n\beta=90^o-60^o\n\beta=30^o


tan(\alpha+2\beta)\cdot tan(2\alpha+\beta)\n\n=tan(60^o+2\cdot30^o)\cdot tan(2\cdot60^o+30^o)\n\n=tan120^o\cdot tan150^o=tan(180^o-60^o)\cdot tan(180^o-30^o)\n\n=-tan60^0\cdot(-tan30^o)=-\sqrt3\cdot(-(\sqrt3)/(3))=(3)/(3)=1\n\n\nAnswer:A
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