Two sides of a parallelogram are 93 feet and 80 feet. The measure of the angle between these sides is 18°. Find the area of the parallelogram to the nearest square foot.

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

We will use the  distributive property to take a common factor in the next step:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Using that we will see that the solution is x = 10.

The distributive property can be written as:

A*(B + C) = A*B + A*C

Now we have the equation:

(1/5)*x + 8 = (1/10)*x + 9

If we group like terms we get:

(1/5)*x - (1/10)*x = 9 - 8

Here we apply the property, we can rewrite the left side as:

(1/5)*x - (1/10)*x = (1/5 - 1/10)*x

Then we can write:

(1/5)*x - (1/10)*x = 9 - 8

(1/5 - 1/10)*x = 1

(1/10)*x = 1

x = 10*1

x = 10

And that is the solution.

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Answer:

It's proportional because it has a constant rate of change

Step-by-step explanation:

(a) 52.475nm many nautical miles south and 29.09nm many nautical miles west will the ship have traveled by 6:00 p.m.

(b) at 6:00pm the ship changes course to due west when 36.68° the ship's bearing and distance from port at 7:00 p.m.

Given that,

A ship sets out from port at noon with a bearing of s 23° west and a speed of 10 knots.

We have to find

(a) By the time it gets dark at six o'clock, how far south and west will the ship have sailed? The ship alters its course to head due west at 6:00 p.m. miles south miles west

(b). at 7:00 p.m., determine the ship's bearing and distance from the port. nautical miles in s.

We know that,

(a) For 6:00 p.m

Sin(θ)=opposite/ hypothesis

θ=29

Opposite=west

Hypothesis =60

Sin(29°)=w/60

w=29.09nm

West= 29.09nm

Cos(θ)=adjacent/ hypothesis

θ=29

Adjacent= south

Hypothesis =60

Cos(29°)= south/60

south=52.475nm

Therefore, 52.475nm many nautical miles south and 29.09nm many nautical miles west will the ship have traveled by 6:00 p.m.

(b) tan(θ)=opposite/adjacent

Opposite=29.09nm

Adjacent= 52.475nm

Tan(θ)=29.09nm/52.475nm

θ=36.68°

Therefore, at 6:00pm the ship changes course to due west when 36.68° the ship's bearing and distance from port at 7:00 p.m.

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The limit of f(x)g(x) as x approaches 6 can exist even if it is not equal to f(6)g(6).

Determine whether the statement is true or false. If it's accurate, describe why. If it's untrue, explain why or provide an illustration that refutes it.

If limx → 6 [f(x)g(x)]

exists, then the limit must be f(6)g(6).

This statement is false. One can create a counter-example by doing the following:

Let f(x) = x - 6 and g(x) = 1/(x - 6). Then f(6) = 0 and g(6) is undefined. However, the limit of f(x)g(x) as x approaches 6 exists and is equal to 1, since the function f(x)g(x) simplifies to 1 for all x ≠ 6.

Even if it is not equal to f(6)g(6), the limit of f(x)g(x) as x approaches 6 can still exist (6).

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Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x^3 − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Answer:

AC = 2.33

Step-by-step explanation:

take 25 degree as reference angle

using tan rule

tan 25 = opposite/adjacent

0.466 = AC / 5

0.466*5 = AC

2.33 = AC

====================================================

Explanation:

x = length of the unknown horizontal side AC

We have an unknown opposite side and known adjacent side.

Apply the tangent ratio to solve for x

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(25) = x/5

5*tan(25) = x

x = 5*tan(25)

x = 2.331538290775

x = 2.33 which is the approximate length of AC

The median of the samples can give an idea of the central tendency of the data and can help in making an inference about the population.

In this case, since the percent of students that bike to school varies from 20% to 50% in the samples, the median of the samples can provide an estimate of the median percent of students who bike to school in the population.

By analyzing the median of the samples, it may be possible to make an inference about the central tendency of the population, which could inform decisions about encouraging or improving biking to school.

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--The given question is incomplete, the complete question is given

"  a group of friends wants to know how many students bike to school. Survey Results In the samples, the percent of students that bike to school varies from 20% to 50% 19 20 21 22 14 15 16 17 18 Number of Students that Bike to School How can the median of the samples help you make an inference about the population? "--

A retailer sells wooden toy chests for $45 that were acquired at a cost of $30. The percentage markup of a product is the amount of profit above its cost.

Markup percentage can be calculated using the following formula:

Markup Percentage = (Markup / Cost) × 100

Therefore, to calculate the percentage markup for the wooden toy chests, we can use the given information as follows:

Cost of one wooden toy chest = $30Selling price of one wooden to y, chest = $45,

Markup = Selling price - Cost price

= $45 - $30

= $15

Now we can use the markup percentage formula to calculate the percentage markup:

Markup Percentage = (Markup / Cost) × 100

= (15 / 30) × 100

= 50%

Therefore, the percentage markup for the wooden toy chests is 50%.

A wooden toy chest is being sold by a retailer at $45, and the cost incurred in acquiring it is $30. Percentage markup is the amount of profit above the cost, expressed as a percentage of the cost.

Thus, the markup percentage is computed using the formula Markup Percentage = (Markup / Cost) × 100.

Here, the cost of one wooden toy chest is $30, and the selling price of one wooden toy chest is $45, so the markup is $15.

The markup percentage, in this case, is 50% (Markup Percentage = (15 / 30) × 100).

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Option (d) - a list of the many ways that students can deceive, irritate, and interrupt a teacher's goals - would most likely be included if the article had a heading for a section entitled frustrations with students.

This section would likely describe common issues that teachers face in their interactions with students, such as disruptive behaviour, a lack of engagement, and dishonesty.

The section might also offer suggestions for how teachers can address these challenges and improve their effectiveness in the classroom.

Nowadays,after the COVID pandemic,the behaviour of students in classrooms is getting out of hand. The lack of focus due to the increased use of phones also adds to the problem.

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A Connected Graph is the one in which every two pairs of vertices are connected.

The correct option is (d)

Given,

In the question:

A_____ is the one in which every two pairs of vertices are connected.

a. directed graph

b. weighted graph

c. complete graph

d. connected graph

To choose the correct answer.

What is connected graph with example?

A graph is said to be connected if there is a path between every pair of vertex. From every vertex to any other vertex, there should be some path to traverse. That is called the connectivity of a graph. A graph with multiple disconnected vertices and edges is said to be disconnected.

Now According to the question:

The right option is :

Connected Graph.

Hence, A Connected Graph is the one in which every two pairs of vertices are connected.

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Answer:

A. y = –5x – 27

Step-by-step explanation:

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

A

The two values of the expression 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

We have,

To find two values of the expression 5x - 6, we need to assign different values to x and evaluate the expression.

Let's choose two arbitrary values for x and calculate the corresponding values of 5x - 6:

If we let x = 0:

5x - 6 = 5(0) - 6 = -6

If we let x = 3:

5x - 6 = 5(3) - 6 = 15 - 6 = 9

Therefore,

The two values of 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

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Answer:

GCF = 509089201

for the values 509089201, 509089201

Solution by Factorization:

The factors of 509089201 are: 1, 107, 1663, 2861, 177941, 306127, 4757843, 509089201

The factors of 509089201 are: 1, 107, 1663, 2861, 177941, 306127, 4757843, 509089201

Then the greatest common factor is 509089201.

Answer:  509089201

Step-by-step explanation: The multiples would be 1, 107, 1663 and so on until 509089201, which makes 509089201 the gcf

The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Divide 4 5/6 and -2 1/7

4 5/6 = 35/6

-2 1/7 = -15/7

= (35/6)/(-15/7)

= (35/6)(-7/15)

= -245/90

= -49/18

= -2 13/18

Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

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The null hypothesis (H0) is that the proportion of taxpayers who do not pay income taxes in the region is equal to 47%. The alternative hypothesis (Ha) is that the proportion of taxpayers who do not pay income taxes in the region is not equal to 47%.

In other words, the null hypothesis assumes that the politician's claim is true, while the alternative hypothesis assumes that the claim is not true. To test these hypotheses, Makayla can use a one-sample proportion test to determine whether the proportion of taxpayers who do not pay income taxes in her sample is significantly different from 47%.
It's important to note that the results of the test will not definitively prove or disprove the politician's claim, but rather provide evidence for or against it. Additionally, the test may have limitations and assumptions that need to be taken into account when interpreting the results.

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The length of Tanya's mural is 28 feet.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

Area = length × width

We know that the area of Tanya's mural is 224 square feet, and the height of the mural is 8 feet.

So we can use these values to find the length of the mural:

Area = length × width

224 = length × 8

To solve for the length, we can divide both sides of the equation by 8:

length = 224 ÷ 8

length = 28 feet

Therefore, the dimension of the length is 28 feet.

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A solid S has a circular base with radius r, and its cross-sections perpendicular to the base are squares. The task is to determine the volume of S by finding the area of each cross-section and integrating those areas.

To determine the volume of S, we can start by finding the area of each cross-section. Since the cross-sections are squares, the area can be found using the formula A = s^2, where s is the side length of the square. The side length of each square can be found by considering the radius of the circular base and the fact that the diagonal of each square is equal to the diameter of the circular base. Using the Pythagorean theorem, we can find that s = sqrt(2)r. The area of each cross-section is therefore A = (sqrt(2)r)^2 = 2r^2.

To find the volume of S, we need to integrate the areas of the cross-sections. Since the cross-sections are perpendicular to the base, the integral can be set up as ∫2r^2 dx, where x represents the distance from the base. The limits of integration are 0 to the height of S, which is not given in the problem. However, we can still find the general formula for the volume of S by integrating the expression for the area of each cross-section. This gives us V = ∫2r^2 dx = 2r^2x + C, where C is the constant of integration. The volume of S can be found by evaluating this expression at the limits of integration.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

a is 0.49875 (but round it)

and b is 0.465

so b is a better deal

Step-by-step explanation:

Answer:

3.99$ divided by 8=0.50cents

50 cents per a battery

Step-by-step explanation:

6 batteries for 2.79 is a better buy

2.80 divided by 6 =46 cents per a batter

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

y= 4+x

Step-by-step explanation:

she has 4 gallons already in the tank

she puts in x more

therefore the total amount in the tank is 4+x

The number of intersections of the graphs of the given equations is 0.

To determine the number of intersections of the graphs of the equations:

1. One-halfx + 5y = 6

2. 3x - 30y = 36

We can convert the equations to slope-intercept form (y = mx + b) by isolating y:

1. \(\frac12\\\)x + 5y = 6

  5y = -\(\frac12\\\)x + 6

  y = (-1/10)x + 6/5

2. 3x - 30y = 36

  -30y = -3x + 36

  y = (1/10)x - 36/30

  y = (1/10)x - 6/5

Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).

Since the slopes are the same but the y-intercepts are different, the two lines are parallel.

Parallel lines do not intersect,

so the graphs of these equations have no intersection points.

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Answer:

A or none

Step-by-step explanation:

edge

The conversion result of decimal numbers to hexadecimal representations of 2's complement numbers are the following

a) 100

b) 6F

c)75BCD15

d)FFFFFF04

A decimal number can be represent the two parts one is whole and a fractional part separated by a decimal point. The decimal point is represented by dot inbetween the whole and fractional part. Hexadecimal is one of number system with base 16. That means 16 possible digits used to represent numbers. Steps to convert a decimal number to hexadecimal number :

Representations of 2's complement numbers :

a) decimal number = 256

using above rules, it's hexadecimal representations of 2's complement numbers is 100.

b) decimal number = 111

it's hexadecimal representations of 2's complement numbers is 6F.

c) decimal number = 123,456,789

it's hexadecimal representations of 2's complement numbers is 75BCD15.

d) decimal number = -44

it's hexadecimal representations of 2's complement numbers is FFFFFF04.

Hence, required values are obtained.

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Answer:

0.46 or 0.47

Step-by-step explanation:

A pound is 16 ounces

16 x 2 = 32

14.95 ÷ 32 = 0.4671875

Since cents only goes to the top ten, depending on the question, it will either be 0.46 or rounded to 0.47

The required price per ounce of coffee would be $0.47 per ounce.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.

For example 4/2 = 2

To calculate the price per ounce.

We have to divide the cost of the bag of coffee by the number of ounces it contains.

As per the given question, the required solution would be as:

There are 16 ounces in a pound, so the 2-pound bag of coffee contains :

⇒ 2 × 16 = 32 ounces.

To find the price per ounce, divide the price of the bag of coffee by the number of ounces it contains:

⇒ $14.95 / 32 ounces

Apply the division operation, and we get

⇒ $0.47 per ounce.

Therefore, the price per ounce of coffee would be $0.47.

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Answer:

The question might be centered on computation on the hourly rate earned by the three friends:

Nina $12.69

Ty $8.25

Kim  $8.60

Step-by-step explanation:

Hourly rate earned=total earnings/hours worked

Nina:

Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69   ($177.60/14)

Ty:

Ty earned $148.50 for 18 hours period of work,thus earned $8.25  ($148.50/18)

Kim earned $137.60 for 16 hours duration of work,invariably Kim earned  $8.60 ($137.60/16)

From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour

Answer:

Step-by-step explanation:

The question might be centered on computation on the hourly rate earned by the three friends:

Nina $12.69

Ty $8.25

Kim  $8.60

Hourly rate earned=total earnings / hours of work

Nina:

Nina earned $177.60 for 14 hours,

\(=\frac{177.60}{14}\)

=  $ 12.69 per hour

Ty:

Ty earned $148.50 for 18 hours period of work,

\(=\frac{148.50}{18}\)

=  $8.25 per hour 

Kim

Kim earned $137.60 for 16 hours period of work,

\(\frac{137.60}{16}\)

 $8.60 per hour

From the  analysis it is obvious that Nina earned the highest hourly rate of $12.69 per hour

Answer:

2/6 ??

Step-by-step explanation:

Answer:

3,0

Step-by-step explanation: