Which of the following metals will react with water to produce a metal hydroxide and hydrogen gas? (2 points)Select one:
a. Al
b. Bi
c. Na
d. Fe

Answers

Answer 1

Answer: I think the correct answer from the choices listed above is option C. It is the metal Na that will react with water to produce a metal hydroxide and hydrogen gas. It reacts violently with water forming sodium hydroxide and the hydrogen gas.

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The y-intercept of the line whose equation is 2x + 5y = 8 is 8 4 8/5

Answers

to get y- intercept
put x=0 in the equation
2(0) +5y = 8
so,, y = 8/5

Final answer:

The y-intercept of the line represented by the equation 2x + 5y = 8 is 8/5. This is determined by rewriting the equation in slope-intercept form (y = mx + b), where 'b' represents the y-intercept.

Explanation:

The subject of this Mathematics question seems to be focusing on finding the y-intercept of the equation 2x + 5y = 8. In an equation like this, formatted in the style of a linear equation (y = mx + b), the y-intercept is represented by 'b'. This intercept is the point at which the line crosses the y-axis in a Cartesian plane.

If we rearrange the equation to the format y = mx + b, we get y = -2/5*x + 8/5. Therefore, the y intercept of the equation 2x + 5y = 8 is 8/5, which is the 'b' in our slope-intercept form equation.

Learn more about Y-Intercept Calculation here:

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The cost C, in dollars, of building m sewing machines at Sienna’s Sewing Machines is given by the equation: C(m) = 20m^2 - 830m + 15,000
(a) Find the cost of building 75 sewing machines.
(b) How many sewing machines should the company manufacture
to minimize the cost C?

Answers

OK. So the cost to manufacture any number 'm' machines is

   C(m) = 20m^2 - 830m + 15,000 .

Whatever number of machines you're interested in, you write
that number in place of 'm', and this equation tells you the cost
for that many.

Examples:

-- The cost to manufacture zero sewing machines ... what the
company had to invest in equipment and building space before
they could even start manufacturing anything:

C(m) = 20m^2 - 830m + 15,000

C(0) = 20(0)² - 830(0) + 15,000 = 15,000 .

-- The cost to manufacture one sewing machine ... buy the
building, set up the manufacturing equipment, and turn out
the first one:

C(m) = 20m^2 - 830m + 15,000

C(1) = 20(1)² - 830(1) + 15,000 = 14,190 .

Now, part-a) wants to know the cost to build 75 sewing machines.
If you've been paying attention so far, you know you have to take
the same equation, and write '75' in place of 'm'.

   C(m) = 20m^2 - 830m + 15,000

   C(75) = 20(75)² - 830(75) + 15,000

   = 20(5,625) - 830(75) + 15,000

   = 112,500 - 62,250 + 15,000 = 65,250 .
===================

Now you need to find the number of sewing machines
that can be built for the lowest total cost.

I'm sure you noticed that the equation for the cost C(m) is a
quadratic equation. So if you drew it on a graph, it would be
a parabola. It would have a minimum value at some 'm', and
for greater 'm', it would start going up again.

(Why should your cost start increasing past some number of
sewing machines ? Well, maybe the manufacturing equipment
is starting to wear out, and needs repair more often. All of that
is actually built into the equation for C(m) . )

Now, I'm not sure what method you've learned for finding the
minimum value of a parabola (quadratic equation). Here are
the two ways I know:

Way #1). If you've had some pre-calculus, then you'll take the
derivative of the equation, set the derivative equal to zero, and
that leads you to the minimum:

The equation:    C(m) = 20m^2 - 830m + 15,000

Its first derivative:       C'(m) = 40m - 830

'C'; is minimum when C'=0 : 40m - 830 = 0

Add 830 to each side: 40m = 830

Divide each side by 40 : m = 20.75

The number of sewing machines manufactured for the
minimum total cost is 20 or 21 .

Way #2). Really the same as Way-#1 but it's not called 'derivative'.

I looked online for rules of parabolas, and found the one that
you may have learned to use:

   For the quadratic expression Ax² + Bx + C ,
   the axis (midline) of the parabola is at
   x = - B / 2A .

That's exactly what we need.
Our equation is C(m) = 20m^2 - 830m + 15,000

so the axis of the parabola is at m = - (-830)/2(20)

   = 830/40 = 20.75 .

Same as Way-1 .

so basically function of m (f(m) or in this case C(m)) means the price
so just input the value you put for m for all the other m's in the problem
ex. if you had f(x)=3x and you wanted to find f(4) then you replace and do f(3)=3(4)=12 so f(3)=12 and so on

A. cost of 75 sewing machines
75 is the number you replace m with
C(75)=20(75)^2-830(75)+15,000
simplify
20(5625)-62250+15000
112500-47250
65250
the cost for 75 sewing machines is $65,250

B. we notice that in the equation, that the only negative is -830m
so we want anumber that will be big enough to make -830m destroy as much of the other posities a possible

-830m+20m^2+15000
try to get a number that when multiplied by 830, is almost the same amount as or slightly smaller than 20m2+15000 so we do this
830m<20m^2+15000
subtract 830m from both sides
0<20m^2-830m+15000
factor using the quadratic equation which is
(-b+ the square root of (b^2-4ac))/(2a) or (-b- the square root of (b^2-4ac))/(2a)
in 0=ax^2+bx+c so subsitute 20 for a and -830 for b and 15000 for c
you will get a non-real result I give up on this meathod since it gives some non real numbers so just guess

after guessing and subsituting, I found that the optimal number was 21 sewing machines at a cost of 6420

What is P - 15 = 13 -
6p

Answers

It's a simple linear equation in 'P'.

There is only one number that 'P' can be that would make the equation
a true statement. The number is called the"solution" of the equation.
Here's one way to find it:

You said that P - 15 = 13 - 6P

Add 6P to each side: 7P - 15 = 13

Add 15 to each side: 7P = 28

Divide each side by 7 : P = 4

p-15=13-6p
p=28-6p
7p=28
p=4

Find the product. 4x3y(-2x2y) Evaluate b2c-1 for b = -4 and c = 2.

Find the product. (n 3)3 · (n 4)5

Answers

Answer:

-8x^5y^2

Step-by-step explanation:

1.
$4x(3y(-2x2y)) \n 4x(-2x6y) \n -8x$ × $6y$

2. ((-4) × 2 × 2) - 1 = -17

3. 3(n×3) × 5(n×4)
= 3n × 9 × 5n × 20
= 15n × 180
= 2700n

Double-check what I did, as you were missing brackets and some operations, and I had to guess based on what you have

What are the solutions of 4(x+6)^2=52 select two answers A) √13 - 6
B) -19
C) -√13-6
D)-2√13-6
E)2√13-6

Answers

Answer:

A and C

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x2+48x+144=52

Step 2: Subtract 52 from both sides.

4x2+48x+144−52=52−52

4x2+48x+92=0

For this equation: a=4, b=48, c=92

4x2+48x+92=0

Step 3: Use quadratic formula with a=4, b=48, c=92.

x=−48±√832/8

x=−6+√13 or x=−6−√13

What is the solution of the equation w - 2 = -3

Answers

w - 2 = -3

Apply the inverse operation to both sides of the equation.

w - 2 = -3
Add 2

w = -1 should be the answer

Final answer:

To solve the given equation 'w - 2 = -3' we add 2 to both sides and simplify, which gives us the solution as 'w = -1'.

Explanation:

The question asks to solve the equation w - 2 = -3 for w. The solution involves adding 2 to both sides of the equation in line with the principle of equality which states that if equal amounts are added to equal amounts, the sums are equal.

Step 1: Start with the given equation w - 2 = -3.

Step 2: Add 2 to both sides: (w - 2) + 2 equals (-3) + 2.

Step 3: Simplify both sides: w equals -1.

So, the solution to w - 2 = -3 is w = -1.