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2 years ago

Aerobics classes class $153.86 for 14 sessions. What is the fee for six sessions?

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

153.86/14=10.99

10.99*6=$65.94

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Which equation is equivalent to z«-<br> ?<br> V<br> 2/3x-5/6=-5/12x+1/4

Alla [95]

Answer:

x =1

Step-by-step explanation:

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2 years ago

I really need help with all these lol

hodyreva [135]

1: 3;
2left: 6;
2right: 10
3left: 8
3right: 3*sqrt(8);
4left: 8;
4right: 6;
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2 years ago

3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶<br>

BARSIC [14]

Answer:

$\dfrac{3^{13}}{2}$

Step-by-step explanation:

Given expression:

$\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:$

$\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies 3^{(19-6)} \cdot 2^{(5-6)}$

$\implies 3^{13} \cdot 2^{-1}$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{3^{13}}{2^1}$

$\textsf{Apply exponent rule} \quad a^1=a:$

$\implies \dfrac{3^{13}}{2}$

4 0

1 year ago

How do you create a truth table to prove that for any statement, p,~(~p) equals p?

Fynjy0 [20]

If $p$ is true, then $\sim p$ is false, which in turn means $\sim(\sim p)$ is true.

If $p$ is false, then $\sim p$ is true, and so $\sim(\sim p)$ is false.

So, because $p\equiv\sim(\sim p)$ in both cases, the statement is a tautology (always true).

If you were to put this in a table, you would have one column each for $p,\sim p,\sim(\sim p)$ . In the first column ( $p$ ) you can think of $p$ as an independent variable that can only take two values, true and false. In the next column ( $\sim p$ ), you would negate the value in the previous column. And so on.

It should roughly look like this:

p ... ~p ... ~(~p)
T ... F ... T
F ... T ... F

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3 years ago

What figure is a dilation of Figure A by a factor of 1/2 ?

lora16 [44]

A dilation of figure A by a factor of 1/2 is the last figure with sides 1in, 2 in, 0.5 in and 2.5 inch. Since dilation means becoming larger, smaller or wider from one figure, this is also same with similar figures where the ratios of corresponding sides should be the same. In this problem, the ratio is 0.5 or 1/2. Therefore figure A is similar to the last figure.

7 0

2 years ago

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