MATHEMATICS HIGH SCHOOL

How is (s-t)(s/t) equivalent to (s^2/t) -s

Answers

Answer 1

Answer: $(s-t)\cdot(s)/(t)=s\cdot(s)/(t)-t\cdot (s)/(t)=(s^2)/(t)-s$

Answer 2

Answer:

Explanation:

For the expression (s-t)(s/t) we first use the distributive property:

We can write both s and t as fractions by using a denominator of 1:

$\n=(s)/(1)* (s)/(t)-(t)/(1)* (s)/(t)$

To multiply frations, we multiply straight across:

In the second fraction, st/t, the t will divide out, or cancel, since it is in both the numerator and denominator:

$(s^2)/(t)-s$

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What is square root of 26
What fraction of a pound is eighty pence
Please help me ASAP!!

What can multiply to give you 80 but add up to give you 11

Answers

There are no real numbers that can do that job.

There's a pair of complex numbers that can do it.
They are

   5.5 + i4.97
and
   5.5 - i4.97 .

   ' i ' = the imaginary unit = √(-1)

Sam used 17 cans of paint to paint 6 walls. He used the same amount of paint on each wall. Which is the correct way to show how to find how many cans of paint he used for each wall.

Answers

Answer:

The number of cans of paint he used for each wall is $2(5)/(6)$ cans

Step-by-step explanation:

Here we are told that Sam used 17 cans of paint to paint 6 walls

The correct way to find out how many cans of paint he used to paint each wall is as follows

Number of walls 17 cans of paint can paint = 6 Walls, we therefore divide both side of the equation by 6 so that the number of walls painted will be 1 as follows

6 Walls = Number of walls 17 cans of paint can paint

6/6 Walls = Number of walls 17/6 cans of paint can paint

∴ 1 Walls = Number of walls 17/6 cans of paint can paint or

∴ 1 Wall = Number of walls $2(5)/(6)$ cans of paint can paint

Which gives;

Number of walls $2(5)/(6)$ cans of paint can paint = 1 Wall or

The number of cans of paint he used for each wall = $2(5)/(6)$ cans.

The cylinder has a height of 10cm, and a radius of 3cm. What is it's surface area?

Answers

surface area is the area on top+area on bottom+area around

the areas on top are circles so 2pir^2 is the total area of tops and bottoms

the area arounnd is a rectangle that has been curled, its legnth is the height of the cylinder and the width is the circumfernce of the circle on top so area of that is h2pir
add them

2pir^2+h2pir
subsitute since h=10 and r=3
2pi(3)^2+10(2)pi(3)
2pi9+20pi3
18pi+60pi
78pi cm^2 is surface aea
if aprox pi=3.14 then
SA=244.92 cm^2

SA=78pi cm^2 or 244.92 cm^2

The equation for the surface area of a cylinder is A = 2 π r h+2 π r^2
A=2(3.14)(3)(10)+2(3.14)(3)^2
A=188.4+36.52
A=244.92

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

Factors for x squared plus 9x plus 18

Answers

It is 3-6
So (x+6)(x+3) because 6*3=18 and 6+3=9

Answer:(X+3)(X+6)

Step-by-step explanation:

What did the Federalists and Anti-federalists have in common?Both believed in a strong federal government.

Both believed they represented the common good.

Both believed state governments should hold ultimate power.

Both believed a strong federal government would cause chaos.

Answers

im pretty sure its b

Answer:

encourage states to work together.

Step-by-step explanation:

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