MATHEMATICS HIGH SCHOOL

What is the missing number in this pattern?
2, 4, _, 16, 32
5
8
10
6

Answers

Answer 1
Answer: The pattern is multiplying the numbers by 2. If you time 4 by 2, you'll get 8. Therefore the answer is 8

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What is the square root of 38.7
Michael needs 6 1/2 feet of metal flashing to complete a household project. He has two small pieces measuring 3 1/8 feet and 1 3/4 feet. How many feet of metal flashing does Michael need to purchase?
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What is 15 degrees less than 6 degrees celcius

Answers

The question is asking for the value you will have left if you removes 6 degree Celsius from 15 degree Celsius, that is,
15 - 6 = 9
The answers is 9 degree Celsius.
In mathematics, 'LESS' is another word for subtraction. 

The line y=mx is tangent to the curve y^2 = X-C. Show that c = 1/ (4m^2)

Answers

Hello,
Let (a,b) the intersection of the tangent and the curve.
That point must be double.

So
 b=m*a
b²=a-c
==>(ma)²-a+c=0
==>m²a²-a+c=0 roots must be equal
Δ=(-1)²-4*m²c=0 => 4m²c=1==>c=1/(4m²)

Find the value of g(5) if g(x)=x3−x.

Answers

Answer:

g(5) = 120

Step-by-step explanation:

to evaluate g(5) , substitute x = 5 into g(x)

g(x) = x³ - x , then

g(5) = 5³ - 5 = 125 - 5 = 120

Making Consumer ChoicesI. The Bread Machine (25 points)r /> In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider: quality of homemade vs. bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.

A. The bread machine you are interested in costs $100 with tax.
The ingredients to make one loaf of bread cost $0.80.
What is the rate of cost of one loaf of bread?


B. What is your start up cost? (cost of machine)


C. Write a linear equation, y = mx + b for the total cost.


D. Graph the equation on the graph provided. You may use either Point Plotting or Slope-Intercept. Be sure to locate at least 3 points. You may want to do this in pencil in case you decide to use more points later in the problem.

Answers

cool question relying on real life scinarios

A.

1 loaf=inital cost for macine+cost per bread or
number of loaves=x
cost to make=y
y=100+0.8x
so to find 1 loaf, just subsitute 1 for x
y=100+.8(1)
y=100+0.8
y=100.80
1 loaf costs $100.80 to make

B.
start up cost is $100

C. linear equation is
start up cost+cost per loaf times loaf or
y=100+0.8x
in y=mx+b form
y=0.8x+100


C.
to find points, just subsitute values for x and get values for y (I used multiplules of 10 so that you wouldn't have to plot a decimal coordinate)

if we put it 0 for x, we get 100 for y
if we put in 10 for x, we get 108 for y
if we put in 20 for x, we get 116 for y
and of course don't use negative becasue you can't make negative amounts of bread

If 4/3x - 1/2 = 0 then x=

Answers

4/3x - 1/2 = 0   Given
4/3x = 1/2   Add 1/2 to both sides
x = 3/8   Multiply each side by 3/4

It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.

PLEASE HELP!!!
Write the equation of the given line in standard form.

Answers

Answer:

x = 3

Step-by-step explanation:

"Standard form" is the form ...

... ax + by = c

where a, b, c are mutually prime integers. The coefficients a and b cannot both be zero. The leading coefficient must be positive. If "a" is zero, then the leading coefficient is "b".

So ...

... x = 3

is in standard form already. (a=1, b=0, c=3)

_____

Further comments on Standard Form

Of course, if the line has irrational slope or intercept, the coefficients cannot all be integers.

The order of the variables may be swapped, in which case the coefficient of y is the leading coefficient and must be positive.

This is the only way a vertical line can be written, as slope-intercept form is undefined for a vertical line.
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