What is Multiplying polynomials?

Answer:

1 : 16

Step-by-step explanation:

6 hours : 4 days

6 hours : 96 hours

1 hour : 16 hours

Answer:

8.13704 × \(10^{5}\)

Step-by-step explanation:

3000 + 4 + 800000 + 700 + 10000 = 813704

Answer:

+19

Step-by-step explanation:

8-(-11)= 8+11

8-(-11)=+19

Answer:

19

Step-by-step explanation:

8 - ( -11) =

8 + 11 =

19

The two negatives combine to make a positive.

If z varies with y and inversely with and z = 6 when x = 4 and y = 3, then the value of Proportionality Constant is given by 8.

Proportion is a relation between two mathematical variables. If two variables vary directly that states if one increases another will also decrease and same for decrease.

If two variables are in inverse relation that states that if one variable increases then another decreases and if one variable decreases then another increases.  

Given that, z varies with y and inversely with x. So,

z = k*(y/x), where k is the proportionality constant.

Given that, z = 6 when x = 4 and y = 3. So,

6 = k*(3/4)

k = (6*4)/3

k = 2*4

k = 8

Hence the value of Proportionality Constant is 8.

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The question is incomplete. The complete question will be -

"z varies with y and inversely with x when z=6, x=4, and y=3. Find the value of Proportionality Constant."

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

Answer: One triangle

Step-by-step explanation:

-The triangle's dimensions are defined and fixed.

-Given the fixed dimensions, only one unique triangle can be constructed.

-Hence, only one triangle of the dimensions 7.2cm, 6.9cm and 12.8 cm can be formed.

Answer:

1

Step-by-step explanation:

The correct shape would be a scalene triangle, which can't be bent and twisted and still have the same side lengths.

Answer:

oh lord may we put our head down and pray this manz aces his test or whatever it is amen.

Answer: 21, 28

Step-by-step explanation:

Use the Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\):

Substitute in the values & solve:

\(x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21\)

-28 is not a possible solution since you can't have negative inches...

Answer:

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

We see x - 2 is the common factor in the given expression.

Simplify as:

Answer:

10x - 20

Step-by-step explanation:

distribute the 3 and the 7 into the parentheses, getting you to (3x - 6) + (7x - 14), from there you should be able to just combine the like terms getting you to 10x - 20.

The functions best models this scenario is:

C(x) = 4.25 x ,   x<4

         3.75 x - 2,   x≥4

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

A local city park rents kayaks for $4.25 per hour.

If a customer rents for four or more hours, the cost is only $3.75 per hour, plus a $1 processing fee.

If C(x) represents the total cost and x represents the number of rental hours.

If customer gets an additional $2 off the total fees

Until 3 hour the price per hour is $4.25

So, C(x) = 4.25x ,   x<4

If 4 hour or more the price per hour is 3.00

So, C(x) = 3.75 x - 2 , x ≥5

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Step-by-step explanation:

2(4 – 16) – (–30) 2(–12) – (–30) 24 – (–30) 54= 2×4-2×16 -×-30×2×-12-×-30×24-×-30= 8-32+30-24+30×24+30: 732

Answer:

2(4 - 16) - (-30) 2(-12) - (-30) 24 - (-30) 54

Solve the ones in the bracket first

Thus

2(-12) - 720 + 720 + 1620

= -24 + 1620

= 1596

Hope this helps

Answer: B. (10, –20)

Step-by-step explanation:

Answer:

yourself 1 ticket.

16 left

3 friends x 5 tickets ,=15

16-15= 1

Just my thought.

Unless you don't go. Then your remainder is 2. But, it said share not give away. So I am thinking you keep a ticket.

So sneaky

Good luck

Answer:

it's to late I'm sorry I couldn't make it in time

Answer:

For everyone who still needs this, the answer is D.

Step-by-step explanation:

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.

In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.

To determine the smallest positive value of n, we need to consider the conditions for a simple graph:

1. Each vertex must be connected to at least one other vertex.

2. There should be no multiple edges between the same pair of vertices.

3. There should be no self-loops (edges connecting a vertex to itself).

Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.

(b) To prove that G is connected, we will use a proof by contradiction.

Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.

Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.

Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.

Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.

In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.

Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.

But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.

Hence, our assumption that G is not connected is false. Therefore, G must be connected.

In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.

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If the histogram shows a bell-shaped curve and the normality test (if performed) supports the normality assumption, it appears safe to assume that the normality condition is satisfied for the wood pieces prepared for the lab session, considering them as an SRS of all similar pieces of Douglas fir.

To determine if the normality condition is satisfied, you can follow these steps:

1. Organize the data: Collect the measurements for the characteristics of the wood pieces in your sample (such as density, strength, etc.) and organize them in a list or a table.

2. Create a frequency distribution: Calculate the frequencies of the different measurements and arrange them in a frequency distribution table.

3. Plot a histogram: Using the frequency distribution, create a histogram to visually represent the data. The x-axis represents the measurements and the y-axis represents the frequency.

4. Evaluate the shape of the histogram: Examine the shape of the histogram to determine if it resembles a normal distribution. A normal distribution is characterized by a bell-shaped curve, which is symmetrical around the mean value.

5. Conduct a normality test (optional): If you want to statistically confirm the normality of the data, you can perform a normality test, such as the Shapiro-Wilk test or the Kolmogorov-Smirnov test.

For the wood pieces manufactured for the lab session, using them as an SRS of all comparable pieces of Douglas fir, it is acceptable to infer that the normality criterion is satisfied if the histogram displays a bell-shaped curve and the normality test (if performed) confirms the normality assumption.

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Answer:

D

Step-by-step explanation:

if x= number of hours replace the x by 9

so you have 5×(1.50)^9+10=

5×(192.21)+10 = 202.21 so 202 will be nearest whole number

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

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

O AB is a minor arc

O mAB=63 º

O The center of the circle is point M.

O AB is a major arc

a. Numerical form of f(3): When x=3, the denominator of the function becomes 3-3=0, which makes the function undefined. Therefore, f(3) does not exist. This is known as a "point of discontinuity."

b. Graph of f(x): To plot the graph of f, we need to find the values of f(x) for different values of x. We can use algebraic techniques to simplify the function:

f(x) = (4x^2-17x+15)/(x-3)

= (4x-3)(x-5)/(x-3) (factoring the numerator)

= 4x - 3 (canceling out the common factor of (x-3))

Now, we can see that the function is undefined at x=3, but for all other values of x, it is equal to 4x-3. Therefore, the graph of f(x) is a straight line with slope 4 and y-intercept -3, except for a hole at x=3. To sketch the graph, we can draw a dotted line at x=3 to indicate the point of discontinuity, and draw the straight line with a break at x=3,

c. Limit of f(x) as x approaches 3:

As x approaches 3, the denominator of the function gets closer and closer to zero, but the numerator also approaches a specific value. We can use algebraic techniques to evaluate the limit:

lim x→3 (4x^2-17x+15)/(x-3)

= lim x→3 [(4x-3)(x-5)/(x-3)] (factoring the numerator)

= lim x→3 (4x-3) (canceling out the common factor of (x-3))

= 7

Therefore, the limit of f(x) as x approaches 3 is 7.

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Answer:5 weeks

Step-by-step explanation:

if you multipy how much they make by each answer choice then you add the amount they have already saved you will see the only answer choice that results in the same number is 5

The area of triangle ADC is 32√3.

What is area of triangle ?

The area of a triangle is the amount of space that is enclosed within its boundaries. It is measured in square units. The formula for finding the area of a triangle depends on the known dimensions of the triangle.

If the base and height of the triangle are known, then the area can be calculated using the formula:

Area = (base × height) / 2

If the lengths of all three sides of the triangle are known, then the area can be calculated using Heron's formula:

Area = √(s(s-a)(s-b)(s-c))

where "a", "b", and "c" are the lengths of the sides of the triangle, and "s" is the semi-perimeter, which is half the perimeter of the triangle.

To find the area of triangle ADC, we need to first determine the length of AD, the height of the triangle.

We can use the Pythagorean theorem to find AD:

AD² = AC² - CD²

AD² = 16²- 8²

AD²= 192

AD = √192

AD = 8√3

Now that we know the height of the triangle, we can find its area using the formula:

Area = (base × height) / 2

In this case, the base is DC, which is 8. So, we have:

Area = (8 × 8√3) / 2

Area = 32√3

Therefore, the area of triangle ADC is 32√3.

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Answer:

C. s= 85m + 45

Step-by-step explanation:

Given data

She opened the account with $85

and deposited $85

The equation that best models the relationship is

s= 85m + 45

Hence option C is correct

The probabilities are as follows;

a. P(X < 45) = 0.67

b. The probability of the time at most 44 buses take to drive the length of its route, P(X ≤ 44) = 0.67

c. The mean time the bus takes to drive the length of its route is 43.62 minutes

d. The standard deviation is 1.546

The probabilities are determined as follows;

a. P(X < 45):

P(X < 45) = P(X = 42) + P(X = 43) + P(X = 44)

P(X < 45) = 0.10 + 0.23 + 0.34

P(X < 45) = 0.67

b. The probability of the time at most 44 buses take to drive the length of its route is P(X ≤ 44).

P(X ≤ 44) = P(X = 42) + P(X = 43) + P(X = 44)

P(X ≤ 44) = 0.10 + 0.23 + 0.34

P(X ≤ 44) = 0.67

c. The mean time the bus takes to drive the length of its route will be:

mean = (42)(0.10) + (43)(0.23) + (44)(0.34) + (45)(0.25) + (46)(0.05) + (47)(0.02)

mean = 4.2 + 9.89 + 15.04 + 11.25 + 2.3 + 0.94

mean = 43.62

d. The standard deviation is determined as follows:

where

E(X²) = (42²)(0.10) + (43²)(0.23) + (44²)(0.34) + (45²)(0.25) + (46²)(0.05) + (47²)(0.02)

E(X²) = 176.4 + 445.87 + 985.76 + 1265.625 + 529 + 131.72

E(X²) = 3533.405

Therefore,

variance = 3533.405 - (43.62)²

variance = 2.390244

The standard deviation will be:

standard deviation = √(2.390244)

standard deviation = 1.546

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