ory has designed a special table with a circular cutout in the center to be filled with glass. The radius of the cutout is 7 inches. What is the area of the tabletop after he cuts out the inner circle? Use 3.14 for Pi and round the answer to the nearest whole number. 154 square inches

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer:

4 Sixths

Step-by-step explanation:

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer:

X=7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

The required value of z such that 0.6318 of the area lies between −z and z is 0.89.

If 0.6318 of the area lies between −z and z, then the area outside of this range is (1-0.6318) = 0.3682.

Since the normal distribution is symmetric, the area to the left of −z is equal to the area to the right of z. So, the area to the right of z is (0.3682 / 2) = 0.1841.

Using a standard normal distribution table, we can find the z-score corresponding to an area of 0.1841 to the right of z:

z = invNorm(0.1841) ≈ 0.89

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The probability that the first card is a heart and the second one is not a heart is P = 0.19

A standard deck has 52 cards divided in 4 sets, such that each set has 13 cards.

The probability of randomly drawing a heart is equal to the quotient between the number of cards of the set heart (13) and the total number of cards (52), so we get:

p = 13/52

Now, the probability of not getting a heart is equal to the number of cards that are not hearts (3*13 = 39) and the total number of cards (now is 51 because we already took one).

q = 39/51

The joint probability is equal to the product between the two individual probabilities:

P = q*p = (13/52)*(39/51) = 0.19

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Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

Answer:A shopkeeper has 2425 boxes of 24 pencils each. How many pencils do all the boxes have in all?​

Step-by-step explanation:

Answer:

64 pizzas

Step-by-step explanation:

4:3 * x:48

x resembles the amount of pizzas sold,

what times 3 = 48?

x=16

4 * 16 is 64

64 pizzas were sold

* Let me know if you have any questions*

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

It's be 60 because 30% of 60 is 18. Hope that helped :)

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer: See below

Step-by-step explanation:

1. For this first pair, we want to find f(g(x)) and g(f(x)). Seeing this may be intimidating and confusing, but as long as you are clear on what you are plugging in, it won't be as confusing.

f(g(x)) means you are plugging the function g(x) into every x in f(x). So, every time you see an x in f(x), you plug in g(x).

\(f(g(x))=\frac{1}{(\frac{7}{x}+6 )-6}\)

\(f(g(x))=\frac{1}{\frac{7}{x} } =\frac{x}{7}\)

f(g(x))=x/7

g(f(x)) means you are plugging the function f(x) into every x in g(x). So, every time you see an x in g(x), you plug in f(x).

\(g(f(x))=\frac{7}{\frac{1}{x-6} } +6\)

\(g(f(x))=7(x-6)+6=7x-42+6=7x-36\)

g(f(x))=7x-36

2. This pair applies the same rules as above. To make this response not too long, I won't repeat the explanation from above. I will directly write the steps.

\(f(g(x))=(\sqrt{x+2} )^2+1\)

\(f(g(x))=x+2+1=x+3\)

f(g(x))=x+3

\(g(f(x))=\sqrt{x^{2}+1+2 }\)

\(g(f(x))=\sqrt{x^2+3}\)

g(f(x))=√(x²+3)

Answer:

even

Step-by-step explanation:

Answer:

x * x = 64

x = 8 or 4 inches is the edge length of the container.

Answer:

4 inches is the  edge lenght of the container

16 quarts is equal to 4 gallons.

The correct option is C.

To convert quarts to gallons, we divide the number of quarts by 4 (since there are 4 quarts in a gallon).

Given that we have 16 quarts, we can calculate:

16 quarts / 4 quarts/gallon

= 4 gallons

Therefore, 16 quarts is equal to 4 gallons.

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The Unit Rate; 14 gallons per minute

3 1/2 minutes would give us 49 gallons

so after 15 1/2 minutes we would have 217 gallons

(srry if its wrong)

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'

After changing to same units,  the combined height is 11 feet 9 inches.

What is a unit?

A unit is a standardized quantity used to express a physical or mathematical measurement. In other words, it is a fixed amount of a particular quantity that is used as a standard of measurement.

For example, meters are a unit of length, kilograms are a unit of mass, and seconds are a unit of time. In each case, the unit provides a standard reference point for measuring the quantity in question.

Now,

To find the combined height of the microwave and the two boxes, we need to add their heights together.

First, we need to convert all the heights to the same unit, either feet or inches. Let's convert everything to inches:

The first box is 4 feet 7 inches tall = (4 x 12) + 7 = 55 inches

The second box is 4 feet 10 inches tall = (4 x 12) + 10 = 58 inches

The microwave is 2 feet 4 inches tall = (2 x 12) + 4 = 28 inches

Now we can add the heights together:

55 + 58 + 28 = 141 inches

To convert this back to feet and inches, we need to divide by 12 and separate the quotient and remainder:

141 ÷ 12 = 11 with a remainder of 9

So the combined height is 11 feet 9 inches. We can express this as:

11 feet 9 inches (or 11'9").

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Answer:

P = 0.309

Step-by-step explanation:

Answer: D) relationship between y intercepts cannot be determined

The graph of f(x) is a vertical line. It is completely parallel to the y axis, so it never crosses the y axis. We need the graph to cross the y axis somewhere in order to form a y intercept. Therefore f(x) does not have a y intercept. So we cannot compare y intercepts if f(x) doesn't have one at all.

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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