What is the answers the question (a - b)^2

The statement that is best supported by the graph is; Jillian's car holds more gasoline, but Nikki's car gets better gas mileage.

The total amount of gasoline each car tank can hold is shown on the left of each graph on the y-axis.

Jillian's car holds 22 gallons.

Nikki's car holds 20 gallons.

Jillian's car holds more gasoline.

Now we need to see which car gets better gas mileage. Getting better gas mileage means you can go farther with each gallon of gas.

With Jillian's car, after using 22 gallons of gas, you have gone 350 miles, and the gas tank is empty.

350 miles with 22 gallons is 350/22 = 15.9 miles per gallon.

With Nikki's car, you start with only 20 gallons. By the time you drive 350 miles, you still have some gas left. Not only did you start with less gas, 20 gal vs. 22 gal, but after driving the same distance, 350 miles, there is still some gas left in the tank, 6 gallons.

That means Nikki's car used 20 - 6 = 14 gallons to drive 350 miles. 350/14 = 25 miles per gallon.

The more miles per gallon you get, the better the mileage. Thus;

25 miles per gallon is better mileage than 15.9 miles per gallon.

Nikki's car has a smaller gas tank, but it gets better mileage.

Read more about Linear Graphs at; https://brainly.com/question/28393413

#SPJ1

The correct option is B. The trips will each bus has to make to get everyone to the stadium is 40 trips.

The number of fans who will need to use satellite parking is:

150,000 x 0.52 = 78,000

Each bus can carry 65 fans, so the total number of trips required is:

78,000 / 65 = 1200

Therefore, each bus will need to make 1200/30 = 40 trips

Satellite parking typically offers lower rates than the central parking area and provides a shuttle service to transport passengers to and from the main terminal. This type of parking is a popular option for travelers who need to park their car for an extended period of time, such as those going on vacation or business trips.

Satellite parking can be located either on-site or off-site, depending on the transportation hub. Some airports have several satellite parking lots located at various distances from the main terminal, while others have a single satellite parking area. Overall, satellite parking is an important component of transportation infrastructure, as it provides a convenient and affordable parking solution for travelers while also helping to alleviate congestion in the main parking area.

To learn more about Satellite parking visit here:

brainly.com/question/24882579

#SPJ4

Answer:

4 Centimeters

Step-by-step explanation:

If 1 centimeter is 2.5 millimeters, then 4 centimeters is 10 millimeters because 2.5 x 4 = 10 or 10/2.5 = 4

The graph of the inequality x ≤ 6y represents the shaded region below the line on a coordinate plane. The line has a slope of 1/6 and a y-intercept of 0.

To graph the inequality, plot the y-intercept at the origin (0,0), and use the slope to find additional points. Then, draw a line through these points. Finally, shade the region below the line to represent the solution set.

The graph of the inequality x ≤ 6y is a line with a slope of 1/6 and a y-intercept of 0. This means that for every unit increase in the x-coordinate, the y-coordinate increases by 1/6.

To graph the line, plot the point (0,0) at the y-intercept. From this point, move 6 units to the right and 1 unit up to find another point on the line. Connect these two points to draw the line.

Since the inequality is x ≤ 6y, we want to shade the region below the line to represent all the points that satisfy the inequality. This is because any point below the line will have a corresponding x-value less than or equal to 6 times the y-value.

Therefore, the shaded region below the line represents the solution set for the inequality x ≤ 6y.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ11

Answer:

albert einstein

Step-by-step explanation:

Answer: 1. tax deductions 2. the amount of taxable income

Step-by-step explanation: Just got it right on plato

The solutions of the equation cos^2(theta) = 0 in the interval [0, 2π) are θ = π/2 and θ = 3π/2.

To find the solutions of the equation cos^2(theta) = 0, we need to determine the values of theta that satisfy this equation in the given interval [0, 2π).

The equation cos^2(theta) = 0 can be rewritten as cos(theta) = 0. This equation represents the points on the unit circle where the x-coordinate is zero.

In the interval [0, 2π), the values of theta that satisfy cos(theta) = 0 are π/2 and 3π/2. At these angles, the cosine function equals zero, indicating that the x-coordinate on the unit circle is zero.

Therefore, the solutions to the equation cos^2(theta) = 0 in the interval [0, 2π) are θ = π/2 and θ = 3π/2, written in radians in terms of π.

It is important to note that there are infinitely many solutions to the equation cos^2(theta) = 0, as cosine is a periodic function. However, in the given interval [0, 2π), the solutions are limited to π/2 and 3π/2.

Learn more about angles here:

https://brainly.com/question/31818999

#SPJ11

Balance of Kevin after 1 quarter will be 1.0055(x)

Compound interest is interest that is calculated using both the starting amount and the interest that has accrued over time.

Interest is considered to be compounded quarterly if it is compounded four times each year.

If interest is compounded four times or quarterly each year, the formula for the amount at time t is as follows.

A = P( ( 1 + (r/4))⁴ⁿ

A = Accumulated amount

P= Principal amount

r = interest rate

n = time

Given that Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly

∴ P = x

r = 2.2% = 2.2/100

To find balance after one quarter , i.e. time n = 1/4 year

⇒ Balance = accumulated amount  =$  x(1 + 2.2/400)¹  = $ 1.0055(x)

Therefore, Balance of Kevin after 1 quarter will be 1.0055(x)

To know more about compound interest, visit:

https://brainly.com/question/14295570

#SPJ13

The probability of a sample that contains exactly two defective parts is  13.1926.

As we know if P is the probability of achieving k results in n trials then the probability formula is P = \(({}^{n}_{k})\)\(p^{k}\)\(q^{n-k}\)

In this formula n = number of trials

k = number of success

(n-k) = number of failures

p = probability of success in one trial

q = (1-p) = probability of failure in one trial

In this sum n = 10

k = 3

number failures (n-k) = (10 - 3) = 7

p = 3% which can be written as 0.03

q = 97% Which can be written as 0.97

Now putting these values in the formula

P = \(({}^{10}_{3})\)\(0.03^{3}\)\(0.97^{10-3}\)

P = \(({}^{10}_{3})\)\(0.03^{3}\)\(0.97^{7}\)

P = (10! ÷ 3!) × 0.000027 × 0.8079

P = 13.1926

Learn more about the probability at

https://brainly.com/question/15270472?referrer=searchResults

#SPJ4

Answer:

2 11/12 sq yards

I hope this helps :D , and if it does plz give brainliest

Step-by-step explanation:

The properties in each step is:

Step 1 and 2: distributive property

Step 3: addition property of equality

Step 4: division property of equality

Given the equation, x + 0.06x - 1.50 = 3.80, we can solve for x using the steps with the following appropriate properties shown below:

Step 1:

(1 + 0.06)x - 1.50 = 3.80 (distributive property)

Step 2:

1.06x - 1.50 = 3.80 (distributive property)

Step 3: Add 1.50 to both sides of the equation

1.06x = 5.30 (addition property of equality)

Step 4: Divide both sides by 1.06

x = 5.00 (division property of equality)

Learn more about the properties of equality on:

https://brainly.com/question/13260378

#SPJ1

Over a period of 10 years, if Leo saves 8% of his $65,000 salary annually, with a 4.6% company match and a 5.32% interest rate, he would have approximately $104,564.67 saved. Hence, the correct answer is option B.

To calculate the amount Leo would have saved in 10 years, we need to consider his annual contribution, the company match, and the interest earned on his 401(k) savings. First, we determine Leo's annual contribution by multiplying his salary ($65,000) by 8% (0.08), which gives us $5,200 per year.

Next, we calculate the company match by multiplying Leo's annual contribution by the matching percentage (4.6% or 0.046). The company match would be $5,200 multiplied by 0.046, resulting in $239.20 per year.

Now, we need to calculate the interest earned on his savings. To do this, we take the sum of Leo's annual contribution ($5,200) and the company match ($239.20), and multiply it by the interest rate (5.32% or 0.0532). This gives us an interest of approximately $286.93 per year.

Finally, to find the total savings after 10 years, we add up the annual contributions, the company match, and the interest earned. Multiplying the sum of $5,200 + $239.20 + $286.93 by 10 years gives us approximately $104,564.67, rounded to the nearest cent.

Therefore, the correct answer is option B, $104,564.67.

Learn more about interest here:

https://brainly.com/question/30955042

#SPJ11

Probability of all 4 balls drawn should be green equal to   ≈ 0.1434

What is probability explained with an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

                                     The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

An urn contains 8 black and 5 pink balls.

Now, Total number of balls in urn is   balls 8 + 5 = 13 balls

Four balls are randomly drawn from the urn in succession, with replacement.

So, probability of green ball =  8/13

Again, there is a condition that,

Probability all 4 balls drawn should be green.

Then,   P(all 4 balls should be green)= 8/13 * 8/13 * 8/13 * 8/13

                                                            = ( 8/13)⁴ = 8⁴/13⁴

                                                            =  4096/28561

                                                            = 0.1434123

                                                             ≈ 0.1434

Learn more about probability

brainly.com/question/30034780

#SPJ4

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!
☆
EDGE2022; Good Luck :3!!!

The result is (x+3) (3x²+4) after factorizing the polynomial.

What is Grouping methods?

The process of rearrangement of algebraic expression depending on the presence of like term is called grouping method.

The process in how we rearrange an algebraic expression by grouping the like terms together with the help of parathesis.

Given. 3x³+9x²+4x+12

By factorizing 3x²(x+3) +4(x+3)

                         (x+3) (3x²+4)

Hence, we get (x+3) and (3x²+4)

to know more about factorization visit:

https://brainly.com/question/14067703

#SPJ1

Answer:

the first one is 3

the second one is 7

the third one is -2

and the last one is -3

Step-by-step explanation:

The equation is matched with its solutions below;

1/4x + 5/3x - 4 = 2 - 1/12x

combine like terms

1/4x + 5/3x + 1/12x = 2 + 4

(3x+20x+x) / 12 = 6

24/12x = 6

2x = 6

Divide both sides by 2

x = 6/2

x = 3

3.2b - 4.7 = 3b - 3.3

combine like terms

3.2b - 3b = -3.3 + 4.7

0.2b = 1.4

divide both sides by 0.2

b = 1.4 / 0.2

b = 7

4.6y - y + 4 = y - 1.2

combine like terms

4.6y - y - y = - 1.2 - 4

2.6y = - 5.2

divide both sides by 2.6

y = -5.2 / 2.6

y = -2

7.5c - 2.5c + 8 = - 7

5c = -7 - 8

5c = -15

divide both sides by 5

c = -15/5

c = -3

Read more on equation:

https://brainly.com/question/29174899

#SPJ2

The formula a(7) * 1.01 represents an exponential growth model, where a(7) is the area covered by mold at week 7, and 1.01 represents a growth rate of 1% per week.

The exponential growth model is represented by the formula a(7) * 1.01, where a(7) is the area covered by mould at week 7, and 1.01 indicates a weekly growth rate of 1%.

By multiplying the area at week 7 by 1.01, we can approximate the area covered by mold at week 8.

However, it's important to note that this model assumes that the growth rate remains constant and does not account for any limiting factors such as availability of food or changes in environmental conditions.

Additionally, this model may not accurately represent the actual growth of mold, as mold growth can be complex and affected by many variables.

For more questions on exponential growth model

https://brainly.com/question/13617239

#SPJ4

Answer:

False

Step-by-step explanation:

Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.

Answer:

6 ways

Step-by-step explanation:

Given that:

Number of options, n = 4

Combo, r = 2

Using Combination :

nCr = n! ÷ (n-r)! r!

4C2 = 4! ÷ (4-2)!2!

4C2 = 4! ÷ 2!2!

4C2 = (4 * 3) / (2 * 1)

4C2 = 12 / 2

4C2 = 6

Answer:

im srry but i dont know this :/

Step-by-step explanation:

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

Learn more about Margin of error:

https://brainly.com/question/24289590

#SPJ4

Answer:

21 miles

Step-by-step explanation:

s=vt

Vt = 3.5mi/h + 7mi/h

= 10.5mi/h

Tt = 0.5 hr + 1.5hr

= 2 hr

St = 10.5(2hr)

= 21 miles

The Regular Price is ( Original Price - $73.5).

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Gwen buys 3 identical pairs of shoes at Store.

She save $73.50 after the discount.

So, On each pair she saves= 73.5 /3

                                           = $24.5

To find the Regular Price

= Original Price - $73.5

Learn more about Unitary Method here:

https://brainly.com/question/1403820

#SPJ2

Answer: $6.7

Step-by-step explanation:

$6.24 - $12.94 = $6.7

Answer:

The answer is 25√3cm²

Answer:

triangles have 3 sides. quadrilaterals have 4 sides. also, you have to know a side lenght and height of a triangle to get its area.

if ur talking about equilateral, then it would be 25√3 cm²

Answer:

7.5m²

Step-by-step explanation:

A=½b×l

A=½×7.5×2

A=7.5m²

Yes, the conditions for inference are met. The teacher conducts 50 trials, which is large enough to meet the large counts condition (np ≥ 10 and n(1-p) ≥ 10).

The teacher's attempt to make the number cube unfair by inserting lead weights raises the question of whether the proportion of rolls that will land on a 1 has changed. To determine if she was successful, the teacher rolls the cube 50 times and keeps track of the number of times she rolls a 1. The data shows that she rolled a 1 15 times.

To determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth, we need to check if the conditions for inference are met.

The 10% condition requires that the sample size is less than 10% of the population size. Since we do not know the population size, we cannot determine if this condition is met.

The large counts condition requires that both the number of successes (15) and the number of failures (35) are greater than or equal to 10. This condition is met.

The randomness condition requires that the sample is random. Since the teacher rolled the cube, it is assumed that the rolls were random.

Therefore, the conditions for inference are met. We can use a hypothesis test to determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth.

More on inference: https://brainly.com/question/30267509

#SPJ11

Answer:

quadratic functions have a vertex

Answer:

B 8.5 Pounds

Step-by-step explanation:

I hope this helps!

Answer: 8.5

Step-by-step explanation:

16 ounces is a pound

so we divide 136 by 16 and get 8.5

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

To know more about Variable here.

https://brainly.com/question/15078630

#SPJ4