Pat does a lot of traveling in her car, she keeps records on how often she fills her car with petrol. The table alongside shows the frequencies of the number of days between refills. Estimate the likelihood that:

A) there is a four day gap between refills.
B) there is at least a four day gap between refills.

Factor the polynomial.

x

y

(

x

2

14

+

8

y

14

)

i pasted this from p01nhub

The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Slope indicates that for every unit change in the independent variable, x, the dependent variable will vary by the same amount, b. Slope indicates both direction and steepness. Positive slope causes the line to rise when it goes from left to right. When the slope is negative, the line descends when moving from left to right.

Here,

You may get the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two places. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.

The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

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Step-by-step explanation:

given

a(-23) &b(5)

if you take this as a continuous graph

AB+BC =28

ATQ,

AB/BC=2/5

28-bc/BC=2/5

140-5BC=2BC

140=7BC

BC=20

B is -15

The system of inequalities is 6.50x + 10y ≥ 1100 and x + y ≤ 140.

The graph is attached below

To plot the system of equations, we can first plot the lines for each equation on the same coordinate plane.

The first inequality is 6.50x + 10y ≥ 1100.

We can rewrite this in slope-intercept form as

y = (-6.50/10)x + (1100/10).

The slope of the line is -6.50/10 = -0.65

And the y-intercept is (1100/10) = 110.

The second inequality is x + y ≤ 140.

We can rewrite this in slope-intercept form as y = (-1/1)x + (140/1).

The slope of the line is -1/1 = -1

And the y-intercept is (140/1) = 140.

We can now plot these lines on the same coordinate plane.

The points of intersection are the solutions to the system of equations.

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[tex]\left(-\cfrac{2}{3} \right)^{-4}\implies \left(-\cfrac{3}{2} \right)^{+4}\implies \left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\implies \cfrac{81}{16}[/tex]

Answer:

9 weeks

Step-by-step explanation:

set y as how much money they have

set x as how many weeks spend

Bank account C:

y = 10 * 2^x

Bank account D:

y = 1000 + 500x

Set this two equations equal to find the point of two bank account have the same amount of money:

10 * 2^x = 1000 + 500x

Solve the equation:

2^x = 100 + 50x

To find the product of 11011 and 11 in binary, you can use the standard multiplication algorithm that you would use for decimal numbers.

First, you need to multiply 11011 by the rightmost digit of 11, which is 1. This gives you 11011.

Then, you need to multiply 11011 by the next digit of 11, which is 1. This gives you 100110.

Finally, you need to add these two results together to get the final answer:

11011

100110

110121

The product of 11011 and 11 in binary is 110121.

Answer: 31

Step-by-step explanation: I did this before

The step which is to be taken to get the required result is to divide both the numerator and denominator by cos(x)cos(y).

The given question is incomplete, I am answering as per my general knowledge.

The values of all trigonometric functions depends on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Sides of a triangle for which we can calculate these ratios are ,

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Divide both the numerator and denominator by cos(x)cos(y) with expression is (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y))

Step 3: (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y))

Step 4: (sin(x)sin(y) + cos(x)cos(y)) / (cos(x)cos(y))

In Step 3, the expression is (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y)) which is a fraction. In order to obtain the expression for Step 4, both the numerator and denominator must be divided by cos(x)cos(y). This will result in the expression (sin(x)sin(y) + cos(x)cos(y)) / (cos(x)cos(y)) for Step 4.

In order to obtain the expression for Step 4, both the numerator and denominator must be divided by cos(x)cos(y).

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The simplified form of the given expression is (V³+i)³ = V⁹ + 3iV⁶- 3V³ - i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The expression is given in the question as:

(V³+i)³

The expression (V³+i)³ can be simplified using the identity:

(a+b)³ = a³ + 3a²b + 3ab² + b³

Substituting V³ and i for a and b, respectively, and Multiply the real and imaginary numbers gives:

(V³+i)³ = V⁹ + 3V⁶i + 3V³i² + i³

Reduce the imaginary units using the property i² = -1

(V³+i)³ = V⁹ + 3iV⁶- 3V³ - i

This is the final simplified form of the expression.

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Answer:

taken to the hospital or get medical attention where you are.

Step-by-step explanation:

Brainliest?

Answer:

Hence, the expression ( 4 x 2 - 3 y 2 - x y ) should be taken away from 3 x 2 - 4 y 2 + 5 x y + 20 to obtain - x 2 - y 2 + 6 x y + 20 .

Step-by-step explanation:

Answer: 2.2

Step-by-step explanation: To find the decimal form of 2 1/5, we need to turn it into an improper fraction. That would be 11/5. Now we'd turn that into a division problem. So, we'd do 11/5, which 5 can go into 11 2 times, and would have 2 left over. I hope this helped.

There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.

The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.

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There is no AAA congruence theorem because it is a statement that states that if three angles of one triangle are equal to the three angles of another triangle, then the two triangles must be congruent.

The reason why there is no AAA congruence theorem is that it is not possible to determine the congruence of the two triangles based solely on the angles alone. The angles must be compared with the sides of the triangles. This means that two triangles with the same angles may not necessarily be congruent with one another. Therefore, the AAA congruence theorem does not exist.

congruence

the quality of being similar to or in agreement with something: the congruence of the two systems.

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Placing the stores in order from lowest price to highest price for a set of paintbrushes will be;

Lowest price: Store B

Middle price: Store C

​Highest price: Store A

Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.

Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products

Store A

Discounted Price = $25 - ((10/100) x 25)

Discounted Price = $25 - $2.5

Discounted Price = $22.5

Store B

Discounted Price = $27 - ((20/100) x 27)

Discounted Price = $25 - $5.4

Discounted Price = $21.6

Store C

Discounted Price = $26 - ((15/100) x 26)

Discounted Price = $26 - $3.9

Discounted Price = $22.1

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Answer:

  (b)  4

Step-by-step explanation:

You want the y-coordinate of point C on the line x=-3 so that ∆ABC has area 6 square units with segment AB being 6 units long.

The formula for the area of a triangle is ...

  A = 1/2bh

Given the base of 6 units, and area of 6 square units, we find the height to be ...

  6 = 1/2(6)h

  6/3 = h = 2

The height of the triangle is 2 units.

Point C is given as being on the line x=-3. Its y-coordinate must differ from the y-coordinates of A and B by 2 units. Those y-coordinates are 2, so the y-coordinate of C is ...

  2 ±2 = {4, 0}

Point C may have a y-coordinate of 0 or 4. The appropriate answer choice is 4.

a) The probability that none pay by American express is 0.107.

b) The probability of atleast two is  0.8350

c) The probability of fewer than three is  0.1650

d) The expected number who pay by American Express is 4.

e) The Standard deviation is 1.788

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

In the Ardmore Hotel, 20 percent of the customers pay by American Express credit card.

Here,

Mean = μ = np = 20*0.2 = 4

Standard deviation = σ = √(npq) = √(20×0.2×0.8) = √(3.2) = 1.7889

Let A be the event in which they pay by American express.

∴ P(A) = 0.2

∴ The probability that they do not pay by American Express = 1 - P(A)= 0.8.

(a) P(none in 10) = 0.8^10 = 0.10737

(b) At least two:

P(none pay) + P(one pays) + P(at least two pay) = 1

P(at least two) = 1 - [P(none) + P(one pay)

= 1 - [0.10737 + 20C1(0.2)^1*(0.8)^19] = 1 - [0.10737+0.05765] = 0.8350

(c) Fewer than three = P(one) + P(two) = 1- 0.8350 = 0.1650

(d) The expected number who pay by American Express is:

Mean = np = 20*0.2 = 4

(e)  Standard deviation:

σ = √(npq) = √(4* 0.8) = √(3.2) = √(1.6*2) = 1.788

Thus,

a) The probability that none pay by American express is 0.107.

b) The probability of atleast two is  0.8350

c) The probability of fewer than three is  0.1650

d) The expected number who pay by American Express is 4.

e) The Standard deviation is 1.788

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Segment VU is parallel to segment LM. The missing length is 16.

If the matching lines formed by two segments are parallel, then the segments are parallel. In other words, two segments are considered to be parallel if they are in the same plane and do not cross even when stretched indefinitely in both directions.

Two line segments are parallel if any pair of matching angles, alternate interior angles, alternate exterior angles, or consecutive interior angles are supplementary. On a coordinate plane, parallel lines have the same slope.

If the matching lines formed by two segments are parallel, then the segments are parallel.

Segment VU is parallel to segment LM. The missing length is 16.

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The product of 3 and 2i is 6i. This means that the real component of the product is 0, and the imaginary component  value is 6.

The product of two complex numbers, such as 3 and 2i, can be calculated by multiplying their real and imaginary components separately. The real component of 3 is 3 and the imaginary component of 2i is 2. So, the real component of the product is 3 x 0 = 0, and the imaginary component is 2 x 3 = 6. Therefore, the product of 3 and 2i is 0 + 6i or 6i. This means that the real component of the product is 0, and the imaginary component is 6. To calculate the product of two complex numbers, simply multiply their real and imaginary components separately and add the results together.

step by step calculations

Real component of 3 x Real component of

2i = 3 x 0 = 0

Imaginary component of 3 x Imaginary component of

2i = 2 x 3 = 6

Therefore, the product is 0 + 6i or 6i.

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Answer:

C

Step-by-step explanation:

1. 100% - 20% = 80%

2. 39.99*0.8 = $31.99

hope this helps!!

In 45 minutes the minutes of the clock turns  270 degrees

The hands of clock while rotating is observed to be rotating 6 degree per minute

This can be calculated based on the fact that in 60 minutes a clock makes a 360 degrees rotation, using this concept we have that

if 60 minutes = 360 degrees then 1 minute will be

1 minute = 360 degrees / 60 minutes

1 minute = 6 degrees

To calculate for 45 minutes we have

number of degrees in 45 minutes = 45 * 6

number of degrees in 45 minutes = 270 degrees

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A. The 3 prizes be awarded in 336 different ways.

B. The 3 people can get prizes in 56 different groups.

PROBABILITY CALCULATION

A. The different ways can the 3 prizes be awarded:

There are 8 contestants, so the number of ways to award the first prize is 8. Once the first prize is awarded, there are 7 remaining contestants for the second prize, and 6 remaining contestants for the third prize. So, the total number of ways to award the 3 prizes is 876 = 336.

B. The different groups of 3 people can get prizes:

This is a combination problem. To find the number of ways to choose a group of 3 people from a group of 8, we use the formula [tex]_{n} C_{r}[/tex], where n is the total number of people and r is the number of people we want to choose. In this case, n = 8 and r = 3, so the number of ways to choose a group of 3 people from 8 is ₈C₃ = 56.

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1. The rate of change, in this case, is $100 per week.

2. The rate of change, in this case, is $-8 per week.

1. In this situation, the rate of change of Andre's savings account can be modeled using a linear equation of the form - y = mx + b

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money added to the account each week), and

b represents the starting balance.

To find the rate of change, you can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 6 weeks (i.e., $1,600),

y1 represents the starting balance (i.e., $1,000),

x represents the number of weeks (i.e., 6), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 1600 - 1000 = m(6 - 0), which simplifies to 600 = 6m.

Dividing both sides of the equation by 6 gives m = 100, so the rate of change is $100 per week.

2. In this situation, the rate of change of Kiran's checking account can also be modeled using a linear equation of the form y = mx + b,

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money spent from the account each week), and

b represents the starting balance.

To find the rate of change, you can again use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 4 weeks (i.e., $716),

y1 represents the starting balance (i.e., $748),

x represents the number of weeks (i.e., 4), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 716 - 748 = m(4 - 0), which simplifies to -32 = 4m.

Dividing both sides of the equation by 4 gives m = -8, so the rate of change is $-8 per week.

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Answer:

no triangle at all

Step-by-step explanation:

When two sides and an angle (SSA) of a triangle are given, we can use the Law of Cosines to determine whether the given measurements produce one triangle, two triangles, or no triangle at all.

The Law of Cosines states that in any triangle ABC, c² = a² + b² - 2ab cos(C), where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the measures of the angles opposite those sides.

Given a = 17, c = 18.3, and A = 56°, we can use the Law of Cosines to find the value of b²:

b² = c² - a² + 2ab cos(A)

If the value of b² is positive, then the given measurements produce one triangle. If the value of b² is zero, then the given measurements produce one degenerate triangle. If the value of b² is negative, then the given measurements do not produce any triangle.

Calculating b² = 18.3² - 17² + 2(17)(18.3)cos(56°) = 0.3

As the value of b² is zero, the given measurements produce one degenerate triangle. A degenerate triangle is a triangle whose sides do not form a valid triangle, i.e the three sides are collinear.

Since, the value of b² is zero, it means that the three sides of the triangle are collinear and it will not form a triangle. The measurements provided do not produce any triangle.

Answer: 15 tables.

Step-by-step explanation:

To show the ratio of centerpieces to tables using counters, we can use 1 blue counter to represent 1 centerpiece and 5 yellow counters to represent 5 tables. The ratio of centerpieces to tables can then be represented as 1:5, or 1/5.

To find the number of tables if there are 3 centerpieces, we can set up the following proportion:

3 centerpieces / 1 centerpiece = X tables / 5 tables

Cross-multiplying this proportion gives us:

3 * 5 tables = 1 centerpiece * X tables

Solving for X gives us the number of tables:

X = 15 tables

Therefore, if there are 3 centerpieces, there are 15 tables.

Answer:

D

Step-by-step explanation:

An obtuse angle is one over 90. They both have one of them.

If a plumber is cutting pieces of pipe that are 3.36 meters long, and the pipe must be within 0.09 meters of the required length. The equation representing this is 3.36 / x < 0.09

the solution to the equation is x > 37 1/3

The inequality equation representing the condition is written as follows

length of pipe = 3.36 meters

each pipe division must be within 0.09 meters meaning < 0.09 meters

The division into say x pieces is calculated by

3.36 / x < 0.09

solving the inequality gives

3.36 / x < 0.09

3.36 / 0.09 < x

31 1/3 < x

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