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Alex17521 [72]
3 years ago
6

A) Work out the value of 5^2 – 1^5× 2^4b) Work out the value of 7^2 + 4^3 ÷ 2^5​

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
First you have to know BODMAS/BIDMAS (idk if all schools teach it like this) but this is the order in which you complete questions so it’s Brackets, Indices, Division/Multiplication, Addition/Subtraction
a) 5^2 is 5x5 which equals 25 1 to the power of anything is always 1 and 2^4 is 2x2x2x2 which is 16
So 5^2-1^5x2^4 = 25-1x16 which is then 25-16 = 9
b) 7^2+4^3 divided by 2^5 so 7^2 is 7x7 which = 49 then 4^3 means 4x4x4 = 64 and 2^5 is 2x2x2x2x2 which equals 32 so
7^2+4^3 divides by 2^5 is 49+64/32 = 49+2 which is 51
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Can you help me with number 10
rewona [7]

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(3^{-2})^2}{3^{-3}}\implies \cfrac{3^{-2\cdot 2}}{3^{-3}}\implies \cfrac{3^{-4}}{3^{-3}}\implies \cfrac{1}{3^{-3}\cdot 3^4}\implies \cfrac{1}{3^{-3+4}}\implies \cfrac{1}{3^1}\implies \cfrac{1}{3}

4 0
3 years ago
Could someone please explain! I cant figure it out.
qwelly [4]

2^-2 = 1/2^2

so: (1/2^2)*(12*3)-5^3

simplify: (1/4)*36-125

36*(1/4) = 36/4 so: 9-125

subtract: -116

3 0
3 years ago
How do you solve x+2a=16+ax-6a ?
nasty-shy [4]
<span>X+2a = 16+aX-6a
8X - 16 = aX-2a
8(X-2) = a(X-2)
</span><span>(X-2)/<span>(X-2)</span> = a/8
1 = a/8
a= 8
</span>
3 0
2 years ago
Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered
alexira [117]
We would have the following sample space:
(1, 1), (1, 2), (1, 3), (1, 4)
(2, 1), (2, 2), (2, 3), (2, 4)
(3, 1), (3, 2), (3, 3), (3, 4)
(4, 1), (4, 2), (4, 3), (4, 4)

Those give us these sums:
2, 3, 4, 5
3, 4, 5, 6
4, 5, 6, 7
5, 6, 7, 8

P(sum of 2) = 1/16 =0.0625
P(sum of 3) = 2/16 = 0.125
P(sum of 4) = 3/16 = 0.1875
P(sum of 5) = 4/16 = 0.25
P(sum of 6) = 3/16 = 0.1875
P(sum of 7) = 2/16 = 0.125
P(sum of 8) = 1/16 = 0.0625
8 0
3 years ago
Need help solving this problem ​
natka813 [3]

Answer:

Part 1: \frac{11-x}{5} or \frac{11}{5}-\frac{x}{5}

Part 2: \frac{9}{5}

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get 5y=11-x (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}

y=\frac{11}{5}-\frac{x}{5}

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is \frac{11}{5}-\frac{x}{5}.

For the second part you must replace x with 2 since you need to find f(2).

\frac{11-2}{5}

Your answer for part 2 is \frac{9}{5}.

3 0
2 years ago
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