Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?

A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.

A sign in a store says 3 pens for $2.70. How much would 10 pens cost?

What is the unit price of 10 pounds of potatoes that cost $2.80?

Answer: (3,-5) minimum

Step-by-step explanation:

the vertex is at the bottom so it is a minimum

Answer:

C.

Step-by-step explanation:

Maximum value of f(x) is 1 and it goes on without bound in negative f(x) direction.

So the range is - infinity < f(x) <= 1.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(2,5) and B(-2,9)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.

You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.

The linear regression model for the weekly cost data is given by C(z) = ma + k, where z is the independent variable representing the weekly demand.



The values of m and k are determined through the regression analysis. Using this model, we can estimate the total weekly cost for a given weekly demand and calculate the per unit variable cost and weekly fixed cost.To find the linear regression model, we need to perform a regression analysis on the given weekly cost data. This analysis will determine the values of m and k in the equation C(z) = ma + k, where C(z) represents the weekly cost and z represents the weekly demand.

Once the values of m and k are obtained, we can use the model to estimate the total weekly cost when the weekly demand is 210. By plugging in z = 210 into the equation C(z) = ma + k, we can calculate the total weekly cost rounded to the nearest dollar.The per unit variable cost can be determined by the value of m in the model. It represents the change in cost per unit change in demand. By rounding m to one decimal place, we can obtain the per unit variable cost rounded to one decimal place.

The weekly fixed cost can be determined by the value of k in the model. It represents the cost that does not depend on the weekly demand. By rounding k to the nearest integer, we can obtain the weekly fixed cost rounded to the nearest dollar.Overall, by applying the linear regression model to the given data, we can estimate the total weekly cost, calculate the per unit variable cost, and determine the weekly fixed cost of producing sleeping bags.

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Answer:

x^4 + x^3 + 13x + 5

Step-by-step explanation:

The probability that two e's are not next to each other when the letters of the word "sixteen" are randomly arranged is approximately 96.67%.

In the word "sixteen," there are three e's. We are asked to find the probability that two e's are not next to each other. Let's first calculate the total number of arrangements of the letters of the word "sixteen."Total number of arrangements = 7! / (2! * 3!) = 420There are three ways in which two e's can be next to each other: ee is the first pair, ee is the second pair, and ee is the third pair. If the first two e's are next to each other, there are five choices for where to place the third e: _e_e_e_, _e_ee_, _ee_e_, _ee_e_, and _eee_. If the second two e's are next to each other, there are four choices for where to place the first e: e_e_e_, e_ee_, _ee_e, _ee_e_, and _eee_. Finally, if the last two e's are next to each other, there are five choices for where to place the first e: e_e_ee, e_e_e_, _ee_e, _ee_e_, and _eee_.So there are a total of 14 arrangements where two e's are next to each other. Therefore, the probability that two e's are not next to each other is:Probability = (total number of favorable outcomes) / (total number of possible outcomes) = (420 - 14) / 420 = 406/420 = 0.9667, or approximately 96.67%.In conclusion, the probability that two e's are not next to each other when the letters of the word "sixteen" are randomly arranged is approximately 96.67%.

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Answer:

4 tribes. I don't even know how to do this question at all since it's way too difficult for me but this is an attempt.

Step-by-step explanation:

Let's use negative terms.

-2 = 6

-1 = 5

0 = 4

1 = 3

2 = 2

3 = 1

4 = 0

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

66.6% = 0.6666... = \(\frac{2}{3}\)

Answer:

Fraction = 2/3

Step-by-step explanation:

Given information,

→ Percentage = 66.6%

→ Decimal = 0.6

→ Fraction = ??

Then the required fraction is,

→ Percentage ÷ 100

→ 66.6/100

→ 2/3

Hence, the fraction is 2/3.

Answer:

$292.74 :)

Step-by-step explenation

i searchd it

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Hope this helps

The DMM buys the stock from the floor broker who wants to sell; and then immediately sells that stock for $.01 more to the floor broker who wants to buy. This is an example of scalping or trading ahead.

Designated Market Maker (DMM) on the New York Stock Exchange (NYSE), the DMM has certain obligations and responsibilities to maintain fair and orderly markets for the stocks they oversee. They are expected to provide liquidity by facilitating trades and maintaining an orderly market.

However, in the scenario you provided, the DMM takes advantage of the situation by executing a trade with a floor broker who wants to sell ABC stock and immediately selling it to another floor broker who wants to buy at a slightly higher price. By doing so, the DMM profits from the price difference, earning an extra $.01 per share.

This practice goes against the principles of fair and orderly markets, as the DMM is essentially prioritizing their own profit over providing fair execution prices for buyers and sellers. It can be considered unethical and may be subject to regulatory scrutiny or penalties, as it undermines the integrity and fairness of the market.

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The series Σn=3 (to infinity)\((-1)^n ln(n)/n\) converges based on the Alternating Series Test.

To determine whether the series Σn=3 (to infinity) \((-1)^n ln(n)/n\) converges, we need to check two conditions:

1. The absolute value of the terms should be decreasing: |a_n+1| ≤ |a_n|
2. The limit of the sequence should be 0 as n approaches infinity: lim(n→∞) a_n = 0

First, let's define\(a_n = (-1)^n ln(n)/n\).

Condition 1: To check if the absolute values of the terms are decreasing, we can use the first derivative test:
f(n) = ln(n)/n
\(f'(n) = (1 - ln(n))/n^2\)

We can observe that f'(n) is negative for n > e (Euler's number). Therefore, the function is decreasing for n ≥ 3.

Condition 2: Now, let's check if the limit of a_n is 0 as n approaches infinity:
lim(n→∞) ln(n)/n

Using L'Hopital's rule, we have:
lim(n→∞) (1/n) / 1
lim(n→∞) 1/n = 0

Both conditions are met, so the series Σn=3 (to infinity) (-1)^n ln(n)/n converges based on the Alternating Series Test.

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The equation that would make it easy to find the length of the rectangle is l = Area/ w

The subject of a formula can be defined as the variable that is expressed in terms of the other variables in a given expression or equation.

Given the formula for area of a rectangle as;

Area = lw

Where;

Now, let's make 'l' the subject of formula

Divide both sides by the coefficient of l

We have;

lw/w = Area/ w

Then,

l = Area/ w

Thus, the equation that would make it easy to find the length of the rectangle is l = Area/ w

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\( \\ \\ \)

\( \\ \\ \)

\( \\ \\ \)

We know:

\( \\ \)

\( \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }\)

\( \\ \\ \)

So:-

\( \dashrightarrow\sf A= \pi {r}^{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf A=\pi \times {8}^{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf A= \pi \times 8 \times 8\)

\( \\ \\ \)

\( \dashrightarrow\sf A= \pi \times 64\)

\( \\ \\ \)

\( \dashrightarrow\sf A= 64\pi \: ft {}^{2} \)

\( \\ \\ \)

Therefore option A is correct

\(\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\)

Answer:

4

Step-by-step explanation:

2 ÷ 1/2 = 4

Answer:

The first, third, and fourth answers are correct!

Therefore, the potential profit from the mortgage scenario would be 233.1 seats.

To calculate the potential profit for a mortgage and renting scenario, we need the number of seats available (259 seats) and the average occupancy rate (90%). The profit can be determined by multiplying the number of seats by the occupancy rate.

For the mortgage scenario, assuming you own the property and generate revenue through ticket sales, the potential profit can be calculated as follows:

Profit = Number of seats * Occupancy rate

Profit = 259 seats * 0.90 (90% occupancy rate)

Profit = 233.1 seats

Therefore, the potential profit from the mortgage scenario would be 233.1 seats.

For the renting scenario, assuming you are leasing the property and generating revenue through rent payments, the potential profit calculation would be different. In this case, the profit would be determined by the rent amount minus any associated expenses (e.g., property taxes, maintenance costs, etc.).

To calculate the potential profit from renting, more information is needed, such as the rental rate and expenses associated with the property. Without these specific details, it is not possible to provide an accurate calculation of the potential profit.

In summary, the potential profit for the mortgage scenario would be 233.1 seats, based on the given occupancy rate. However, without additional information regarding the rental scenario, a specific calculation for the potential profit from renting cannot be provided.

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The translated function is:

G(x) = f(x) - 1

b) The maximum of y = 2*f(x) is the point (0, 8).

We know that G(x) is a translation of f(x), and the graph of G(x) is the pink one.

We can see that it is 1 unit below f(x), then we have a translation of one unit downwards, so we can write:

G(x) = f(x) - 1

This is the rule for G(x).

b) If the maximum of f(x) is (0, 4), then:

f(0) = 4

The maximum of 2*f(x) is also at x = 0, we will get:

2*f(0) = 2*4 = 8

So the maximum here is (0, 8).

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Answer:

4.7

Step-by-step explanation:

Best fit line :

y = 13x - 4.7

At x = 4 ; actual value of y = 53

Predicted value of y at x = 4 ;

y = 13(4) - 4.7

y = 52 - 4.7

y = 47.3

Ypredicted = 47.3

Residual value :

Yactual - Ypredicted

52 - 47.3

= 4.7

Answer:48%

Step-by-step explanation:

have a good day

Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The following are properties of a rhombus:

i) All sides are equal

ii) The diagonals bisect each other at right angle.

iii) Diagonals bisect the angles

iv) Sum of consecutive angles is 180°

The following are properties of a square:

i) All sides are equal

ii) The diagonals bisect each other at right angle.

iii) Diagonals bisect the angles

iv) All angles are right angle

A rhombus is a square only when all its angles are right angles (90°) but all squares are rhombuses because squares have the same property as rhombuses(since All angles are right angles, consecutive angles would add up to 180°). Therefore all rhombuses are not squares but all squares are rhombuses

To determine the number of pairwise non-isomorphic 6-vertex simple graphs with the given degree sequence, we can use the Havel-Hakimi algorithm.

Arrange the degree sequence in non-increasing order: 3, 3, 3, 3, 2, 2.

Check if the degree sequence is graphical, i.e., if it is possible to construct a simple graph with the given degree sequence. To do this, we repeatedly apply the following steps:

a. Start with the first element in the sequence (3 in this case).

b. Subtract 1 from the first element and remove it.

c. For the next 3 elements (3, 3, 3), subtract 1 from each of them.

d. Remove the first 2 elements (2, 2).

e. Repeat steps a-d until either all elements become 0 or we encounter a negative number.

If all elements become 0, then the degree sequence is graphical and a simple graph can be constructed. Count it as a valid graph.

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Answer:

false because that is 5 not 1/5

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.