If each machine produces nails at the same rate, how many nails can 1 machine produce in 1 hour

We can replace x=20000 in the function so:

and we simplify:

now h=1 is the cost of one more item so we evaluate for 20001

So for h=1 will be :

Since both inequalities include the less than symbol, <, the shaded region must be below the two lines.

The intersection (common) of the shaded regions, which are both below the two lines, is region D.

The equation for the translated function is:

g(x) = |x + 4|

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

Here we have:

f(x) = |x|

And the translation is of 4 units to the left, so the translated function is:

g(x) = f(x + 4) = |x + 4|

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Answer:

49 cm²

Step-by-step explanation:

10 mm = 1 cm

1 mm = 1/10 cm

4900 mm² = 4900 × mm × mm

4900 mm² = 4900 × 1/10 cm × 1/10 cm = 49 cm²

Solution:

Let's recall that in a coordinate plane, we consider (0, 0) as the origin because this is the point where the x and y-axes intersect.

Therefore, the unit you travel along the y-axis from the origin is:

8 - 0 = 8 (Value of y given - Value of y at the origin)

The answer is 8 units

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After other workers taken 1 banana, 2 oranges and 1 pear then total fruits left in the basket

Now the number of oranges left is 4.

So the probability of picking an orange from the basket is

After she took 1st orange then the number of oranges left 3

So the probability of picking an orange for the 2nd time is

Now the number of oranges left is 2, and the total number of fruits is 9. So the probability of picking third fruit also orange is

The area of a parallelogram is computed using the formula base x height.

Here we have a parallelogram with an area of 72 square meters and a height of 9 meters. Using the formula, we can solve for the base.

The base is 8 meters long.

Answer:

if the bottom side is 4n + 15, then n=8

n times 5 is 40

40+7=47

Given the sentence 136 is equal to 194 times b, we are to write this statement as an equation.

Let us take it one after the other.

For 194 times b, this can be written as;

= 194 * b

= 194b .

Since 136 is equal to the exxpression, the final equation will be gotten by simply equationf 136 to 194b as shown;

136 = 194b

You can then re-arrange

194b = 136

Hence the reuired equation is 194b = 136

Explanation:

We want to know the difference between the amount of scoops she fed the elephant on Wednesday and on Tuesday:

We can write the second number as an improper fraction:

And now substract the two numbers:

Answer:

She fed the elephant 11/8 scoops of peanuts more on Tuesday than on Wednesday

Recall that if two lines have the same slop then these two lines are parallel to each other.

the y-intercept is an x-coordinate of the point where the line intersects at the y-axis.

Consider graph 1.

The line intersects at one point and has different slopes, hence this has one solution.

(A) and (H) is true for graph 1.

Consider graph 2.

The lines have the same slope, therefore parallel but there is no y-intercept point.

This have infinitely many solutions.

They are also the same line.

(E) and (F) is true for this graph 2.

Consider graph 3.

The lines have the same slope and they are parallel.

It gives B) is correct

They do not intersect since parallel does not intersect each other.

It gives C) is correct

There is no solution since they do not intersect.

It gives G) is correct.

These lines have intercepted at -1 and -4.

It gives D) is correct

B), D), C), G), D) are correct for graph 3.

Results:

Options Graph

A) 1

B) 3

C) 3

D) 3

E) 2

F) 2

G) 3

H) 1

Answer:

$450

Explanation:

The interest of the loan can be calculated using the following equation:

Where P is the amount that he borrowed, r is the interest rate and t is the number of years.

So, replacing P by 2500, r by 0.06, and t by 3 years, we get:

Then, the interest of the loan is $450.

Let the number be x.

The number is 120

Given:

Length of the base = 418 yd

Width of the base = 348 yd

Height of the pyramid = 444 yd

Find: Volume of the rectangular pyramid

Solution:

The formula to get the volume of the rectangular pyramid is:

Since the base is rectangular, we can replace the "area of the base" into "length x width" since that is the formula for the area of a rectangle.

Let's plug in the given data to the formula above.

Then, solve for V or volume.

Answer: The volume of the convention is 21, 528, 672 yd³.

Diagonals of a rhombus bisect each other at right angles, This means that

On a map. 1 inch equals 14.7 miles

1 inch = 14.7 miles

Two cities are 3.5 inches apart on the map

Distance between two cities = 3.5 inches

So, the distance between two cities is 51.45 miles

Answer : 51.45 miles

To dilated the figure by a scale factor 3 and center origin

Multiply the coordinates of each point by 3

The image of the point (x, y) is (3x, 3y)

Answer:

50 inches

Explanation:

Let the length of the steel bar when it was formed = y

Steel bars shrink ​8% when cooled from furnace temperature to room temperature.

Given that a cooled steel bar is 46 in.​ long, then:

Divide both sides by 0.92.

The steel bar was 50 in. long when it was formed.

Notice that f(x) is

translated π/6 to the left.

Now, recall that the period of the cotangent is

Since f(x) is just a translation, both functions have the same period.

Answer:

The first equation from System A is what is called a linear combination of the first equation of System B: the equation are equivalent.

System A equation is equal to the System B equation multiplied by a factor of 3 on both sides, so they contain the same information.

Answer: Yes. The systems are equivalent as their equations are equivalent.

The ratio 25 : 15 as a fraction in the simplest form can be written as 5/3.

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Ratio are represented in the following way -  a : b, c : d etc

Given is 25 to 15.

We can express this ratio as a fraction in the simplest form as -

25 : 15 = 25/15

Now, we have to ensure that only whole numbers are their in the numerator and denominator. So in simplest form, we can write -

25 : 15 = 25/15 = (5 x 5)/(5 x 3) = 5/3

Simplest form in fraction will be 5/3

Therefore, the ratio 25 : 15 as a fraction in the simplest form can be written as 5/3.

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Let's assume the following variables.

x = number of units produced

It is stated in the problem that for every unit produced, there is an additional wage of $0.34. Hence, on top of $11.06 per hour wage, there will be an additional of $0.34x per hour. In equation, we have wage per hour:

If Mike was able to produce 17 units, our x here is 17. Let's plug this value to the formula.

Then, solve.

Therefore, Mike's hourly wage is $16.84.

In order to solve this, we have to formulate some equations describing the number of people. The total number of people can be calculated by adding the number of natives to the number of settlers, like this:

Total = N + S

Where N is the number of natives and S is the number of settlers. We already know that there were 140 people in total, then we can rewrite the above expression to get:

140 = N + S

We are also told that there were 40 more native Americans than settlers, then the number of natives can be calculated by adding 40 to the number of settlers like this:

N = S + 40

By replacing S + 40 for N into 140 = N + S, we get:

140 = N + S

140 = (S + 40) + S

140 = S + 40 + S

140 = S + S + 40

140 = 2S + 40

140 - 40 = 2S + 40 - 40

100 = 2S

100/2 = 2S/2

50 = S

S = 50

By replacing 50 for S into N = S + 40, we get:

N = S + 40

N = 50 + 40 = 90

N = 90

Then, there were a total of 90 natives and 50 settlers

The survryed was on 850 teenagers

Number of teenage that evade light hard rock = 32% of 850

=32/100 x850

=272

Explanation

Part A

From the question,

Using the binomial probability distribution formula;

Answer:

x = -2

Step-by-step explanation:

f(x) = y

f(x) represents the y-axis

f(x) = -3 or y = -3 or y = (0, -3)

When y = -3, x = -2

x = -2

I hope this helps!

ANSWER and EXPLANATION

We have the graph of the function f(x) given.

We want to find 2 points that will represent f(x) - 2.

This (f(x) - 2) is a transformation of the function f(x).

It is called a vertical translation. It means that the function moves on the y axis.

It is generally represented as:

f(x) + b

Comparing the required translation with the general form, we can conclude that there is a -2 shift on the y axis.

Therefore, to find two points for the new function, we have to simply pick two points from the given graph and subtract 2 from their y coordinates.

Let the two points be:

(0, 1) and (-4, 4)

Therefore, the two points will be:

(0, 1) => (0, 1 - 2) = (0, -1)

(-4, 4) => (-4, 4 - 2) = (-4, 2)

Plotting them:

The green line is the line of the new function.