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Jlenok [28]
3 years ago
12

(-2)^-5 simplify can someone help me please thank you (:

Mathematics
2 answers:
Ilya [14]3 years ago
7 0
-2^-5
so make the exponent positive it would be
1/-2^5
1/-32
Vikki [24]3 years ago
5 0
-0.03125 this would be the answer to that problem

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What is the equation of a line passing through the points 6,3 and -4,3 so y=?
Mice21 [21]
Equation of a line using 2 points. first find the slope

m= (y2-y1)/(x2-x1)= (3-3)/(-4-6)= 0/-10 = 0
m=0

using y-y1=m(x-x1)
we get
y-3=0(x-6)
y-3=0

y=3 is the equation of the line
7 0
3 years ago
Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
3&+6&(2x)^2(-3y)^2\\
4&+4&(2x)^1(-3y)^3\\
5&+1&(2x)^0(-3y)^4
\end{array}


\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
Mrs James is a boutique owner who recently started selling Over-The-Knee boots. She buys them from her supplier for $300 per set
Lelechka [254]

Answer: $39.60

Step-by-step explanation:

300/10 for one pair of boots is $30

30/100=x/132

x is the selling price

Cross multiply: 100x=3960

Divide: x=39.60

3 0
2 years ago
Read 2 more answers
12 pens cost £3.00. How many pens can be bought for £8?
igor_vitrenko [27]

Answer:

<u>You can buy 32 pens for £8.</u>

Step-by-step explanation:

12÷3 =  4  ---> which means you get 4 pens for £1.

since you get 4 pens for £1, you need to multiply 4x8 to find how many pens you can buy for £8.

4x8 = 32.

<u>You can buy 32 pens for £8.</u>

<u />

<em>hope this helps !</em>

have an amazing day : )

6 0
3 years ago
A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the ce
Yakvenalex [24]

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

1.167x = 10*119

x = \frac{1190}{1.167}

x = 1020

The cellphone towers height is 1020 ft.

8 0
3 years ago
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