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So we would do 8*7(-6) like

8*7(-6)          ( now here we just simply have to multiply the three of then and as -6 is in brackets just beside 7 that is why we are multiplying that and now just multiplying the three of them would give is our answer and as 6 has a minus sign even out answer will include that)

= -336     ANSWER

Agreed with Takahiro.

Here's a picture showing the names of the different place values if you'd like to know what they're all called.

Rounding to the nearest hundredths is very easy. I'll take you through it.

Before we do this question though, we need to know what a hundredth place and digit is.

I'd like to state that the previous answer is incorrect. The Hundredth place is the second digit after the decimal place. 

For Example: 218,102,301.5223

The First number after the decimal place is the tenths place.

Now rounding, the rule is if the following number is 5 or higher we round to the next number.

The Hundredth number in this number is 93.866666

Now, what we do is look at the number after it 93.866666

Is that number 5 or higher? Yes.

So we round the Hundredths one up.

93.87

There is the Answer: 93.87

it =90

100

Volume = mass/density so

Volume = 75g/25g/cm³

Volume = 3 cm³

You are given the mass!!

I think you will need to solve this numerically.  The graphs below might help:

The first two solutions above are at θ = 29° and 32°

On second thoughts, a numerical solution might be overkill!  If θ - 26° is in the first quadrant, then cos(θ - 26°) = sin(90°- θ + 26°).  In this case 3θ = 116° - θ or 4θ = 116° or θ = 29°.

Melody, I tend to think of differential equations as a large subject in its own right, though you can, of course, think of it as a subset of calculus.

A danger of having too many subgroups is that some topics might fit into more than one (e.g. ODEs or Calculus?).

(Incidentally, Matrices would be part of Linear Algebra). 

Thanks anon

Oh yeah. Anonymous's answer is probably more accurate. 

FOIL (First, Outer, Inner, Last) creates (5*4)+(5*-3√3)+(2√3*4)+(2√3*-3√3)=20-15√3+8√3-18=2-7√3

Btw you can create the √ sign using ALT+ keypad numbers 2+5+1 (or if you're using a laptop, ALT+FN+k+i+j)

After 1 minute the temperature will be 0.96*150

After 2 minutes the temperature will be 0.96²*150

After 3 minutes the temperature will be 0.96³*150

...

After t minutes the temperature will be 0.96^t*150

What is t when the temperature is 100?

0.96^t*150 = 100

Take logs of both sides

log(0.96^t)+log(150) = log(100)

t*log(0.96) = log(100)-log(150) = log(100/150) = log(2/3)

t = log(2/3)/log(0.96)

$${\mathtt{t}} = {\frac{{log}_{10}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}{{log}_{10}\left({\mathtt{0.96}}\right)}} \Rightarrow {\mathtt{t}} = {\mathtt{9.932\: \!515\: \!862\: \!422\: \!638\: \!3}}$$

t ≈ 9.93 minutes

1 works: 1/1 flipped is 1/1=1

-xy+9-7x-9xy+7=(-xy-9xy)+(9+7)+(-7x)=-10xy+16-7x

If you teacher wants it in standard form it's:

-10xy-7x+16

90/126=45/63=15/21=5/7

You almost got it

2q-8p=24

+8p to both sides

2q=8p+24

/2 both sides

q=4p+12

You got -4p

$$12 can be written as $\frac{12}{1}$, so now we have:\\
$\frac{1}{4} - \frac{12}{1}$\\
The problem here is that we don't have a common demoninator. Let's multiply $\frac{12}{1}$ by $\frac{4}{4}$ to get a common denominator. \\
We can do this because $\frac{4}{4}$ is really the same thing as 1, and if you multiply any number by 1, you will get that original number.\\
For example, \\
$5\times 1 = 5$\\
$99\times 1 = 99$, etc...\\\\
So, let's multiply $\frac{12}{1}$ by $\frac{4}{4}$\\
$\frac{1}{4} - (\frac{12}{1}\times\frac{4}{4})\\\\
\frac{1}{4} - (\frac{48}{4})\\\\
-\frac{47}{4}$\\\\
And there we go! our answer is $-\frac{47}{4}$$$

Zero.

Zero is an integer and its recriptocal is 1/0....which is 0.

Now, technically speeking, 1/0 is unknown or undefined, because you can't divide a number by 0 in math.

First we need to find 12% of £24.80, then subtract that from the total cost to get the new price.

12% of £24.80       --- "of" means to multiply

12% x £24.80        ---12% can be written as a decimal by removing the percent and moving the decimal over two places to the left

0.12 x £24.80

£2.976            ---Round up

£2.98

So she got a £2.98 discount, but that isn't what she paid. To find what she paid, subtract 2.98 from 24.80.

24.80 - 2.98 = 21.82

She got the Easter hamper for £21.82.

This is a little beyond me. I have an idea how to solve it but I'd rather you have someone who is familiar with questions like these to solve this for you. :)

Hm. I don't think we need the perimeter.

We have the length and the width and we want to find the area. To do so, multiply legnth times width.

$$\begin{array}{l}
Area = length\times width\\
Area = (x+5)\times (3x-2)\\
\end{array}$$

Now we need to multiply this out. Remember FOIL!

So, in square feet, in terms of x, our area is 3x² + 13x - 10 sq. ft.

6" x 13" = 78"sqrd

Assuming you mean 8500 to the second power is 8500"sqrd, then:

8500"sqrd / 78"sqrd ≈ 108.97, option B.

However, if you are unable to split tiles, then it will hae to be rounded up to 109, so option C.

I'm pretty sure we need the perimeter or some other number to figure this out.

I'm guessing you want to factorise this.

2x - 5xy

= x (2 - 5y)