Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answer:

i think its 1/16

Step-by-step explanation:

Answer:

0.0285714286

Step-by-step explanation:

1÷35=0.0285714286

0.0285714286×35=1.000000001

in any bicentric quadrilateral CABDC, LC > Dif if and only if BD > AC.

To prove that in any bicentric quadrilateral CABDC (with LA and B as the right angles), we have LC > Dif if and only if BD > AC, we can use the Pythagorean theorem and some geometric properties.

First, let's assume that LC > Dif.

From the properties of a bicentric quadrilateral, we know that the diagonals AC and BD are perpendicular and intersect at point L (the intersection of the diagonals is denoted as L).

Now, consider the right triangle ALC. By the Pythagorean theorem, we have:

AL² + LC² = AC²

Since LC > Dif, we can rewrite this inequality as:

AL² + Dif² + (LC - Dif)² = AC²     (1)

Next, consider the right triangle BLC. Again, by the Pythagorean theorem, we have:

BL² + LC² = BD²

Since LC > Dif, we can rewrite this inequality as:

(BD - Dif)² + Dif² + LC² = BD²    (2)

Now, let's compare equations (1) and (2):

AL² + Dif² + (LC - Dif)² = AC²

(BD - Dif)² + Dif² + LC² = BD²

Expanding the squares and rearranging the terms, we get:

AL² + LC² - 2(LC)(Dif) + Dif² = AC²

BD² - 2(BD)(Dif) + Dif² + LC² = BD²

Simplifying the equations, we find:

LC² - 2(LC)(Dif) + Dif² = AC²

- 2(BD)(Dif) + Dif² + LC² = 0

Now, notice that the second equation simplifies to:

- 2(BD)(Dif) + Dif² + LC² = 0

- 2(BD)(Dif) = Dif² - LC²

2(BD)(Dif) = (Dif + LC)(Dif - LC)

Since BD, Dif, and LC are all positive lengths, we can conclude that:

BD > AC if and only if Dif + LC > Dif - LC

BD > AC if and only if 2LC > 0

Since 2LC is always greater than zero, we can conclude that BD > AC if and only if LC > Dif.

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The maturity model levels in which an informal culture that values improvement and drives the organization occurs are the "Optimization of Project Management System" maturity model levels.

Explanation:

What is a maturity model?

A maturity model is a framework that assesses the organizational maturity of an organization in terms of best practices, such as project management. It offers a methodology for the evaluation and improvement of a company's business processes, tools, technology, and competencies. The Project Management Maturity Model, also known as PMMM, is an example of such a model.

Maturity Model Levels

The five levels of the project management maturity model are defined as follows:

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Therefore, the expression \(t^{(-3/4)}\) in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.

Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case,  \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).

Therefore, the expression \(t^{(-3/4)}\)in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

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To find the probability that at least two dice show the same number, we can first calculate the probability that all five dice show different numbers, and then subtract it from 1.

Step 1: Calculate the probability that all five dice show different numbers.
The first dice can show any number, so its probability is 1. For the second dice, there are 5 remaining numbers that are different from the first one, so its probability is 5/6. Similarly, the third dice has 4 remaining numbers, so its probability is 4/6, and so on.
So the probability that all five dice show different numbers is (1) x (5/6) x (4/6) x (3/6) x (2/6) = 20/216 = 5/54.

Step 2: Subtract the probability from 1 to find the probability of at least two dice showing the same number.
1 - 5/54 = 49/54.

Therefore, the probability that at least two dice show the same number is 49/54.

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If i just knew the answer i would tell you buti dont know sorrry

Answer:

1. A. 9

B. - 51

2. A. (-3,2)

B. (5,-2)

3. A. (11,-3) B. (11,1) C. They have the same x

Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Answer:

4550 kilowatt

Step-by-step explanation:

Given that :

Amount of energy produced per hour by solar energy system = 9.1 kw per hour

Number of hours for which electricity is produced per day = 5 hours

How much energy will be produced in 100 days

Number of kilowatt of energy produced per day:

Energy produced per hour * number of hours

9.1 kw per hour * 5 hours = 45.5 Kilowatt per day

In 100 days :

Daily energy produced * number of days

45.5 kilowatt * 100 days

4550 kilowatt

The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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Answer:

the third questions is 2/2 because when we divide 2 by two the answer is 1 so the is 2

To find the eigenvalues and eigenvectors of the linear transformation P, which projects vectors orthogonally onto the plane 2x - 3y + 5z = 0, we can consider the geometric interpretation of the projection.

The projection of a vector onto a plane is a vector that lies on the plane and is parallel to the original vector. In other words, the projection vector is an eigenvector of the projection transformation with eigenvalue 1, since it is not scaled or changed by the transformation.

Therefore, the plane itself is an eigenspace of the projection transformation with eigenvalue 1. Any vector that lies on the plane will be an eigenvector associated with this eigenvalue.

To find the eigenvectors associated with eigenvalue 0, we need to consider the vectors that are perpendicular to the plane. In this case, any vector that is parallel to the normal vector of the plane, which is (2, -3, 5), will be an eigenvector associated with eigenvalue 0.

Eigenvalue 1: Any vector that lies on the plane 2x - 3y + 5z = 0.

Eigenvalue 0: Any vector that is parallel to the normal vector of the plane, (2, -3, 5).

The eigenvectors associated with eigenvalue 1 span the plane, and the eigenvectors associated with eigenvalue 0 are orthogonal to the plane.

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The actual length of the bus is 45 feet.

Let the actual length of the bus be represented by x.

Based on the information given, the equation to use in solving the question will be:

0.5/4.5 = 5/x

Cross multiply

0.5 × x = 4.5 × 5

x = (4.5 × 5) / 0.5

x = 45

In conclusion, the actual length of the bus is 45 feet.

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Answer:

Step-by-step explanation:

The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...

__

Solving this equation, we can find Mark's withdrawal and his initial deposit.

  145 +1.6d = 265

  1.6d = 120 . . . . . . . the amount Mark withdrew

  d = 120/1.6 = 75 . . . . the amount Mark deposited

Mark put $75 into his savings account.

__

Had Mark put $100 into his savings account, the total of withdrawals would have been ...

  Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305

After spending $225 of this amount, they would have had a leftover amount of ...

  $305 -225 = $80

Trisha is not correct in her thinking that there would be more than $100 left over.

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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Answer:

49

Step-by-step explanation:

28/1/3= 49

Answer:

$3.5/gallon

Step-by-step explanation:

The slope of the line is the cost per gallon.  Calculate Rise/Run:

Rise ((35/4) - 0) or (35/4)

Run ((5/2) - o) = (5/2)

Slope = Rise/Run = (35/4)/(5/2)

(35/4)*(2/5) = 7/2 or $3.5/gallon

Answer:

Step-by-step explanation:

If x = 4, then the factor is (x - 4); if x = -5, then the factor is (x + 5); if x = 7, then the factor is (x - 7).  We need to FOIL all these together to get a third degree polynomial.  (x - 4)(x + 5) = (x^2 + x - 20).  Now multiply that by (x- 7):  (x^2+x-20)(x-7) = .  Combine like terms to get  ,  the first choice above.

The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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The probability that a professional would accept the promotion is 0.7435.

The total row represents the sum of the probabilities of each event for all the categories, and in this case, the probability of accepting the promotion is the sum of the probabilities of accepting the promotion for each category, which is 0.276 + 0.3145 + 0.1530 = 0.7435.

This means that if we randomly select a professional, there is a 0.7435, or 74.35%, chance that they would accept the promotion. The probability is calculated by taking the sum of the probabilities for each category that corresponds to accepting the promotion and dividing it by the total number of professionals surveyed.

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Answer:

85km/h (km per hour)

Step-by-step explanation:

425/5

85km/h

The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.

The check register shows a balance of $500, while the bank statement shows a balance of $510.

In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.

A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.

For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.

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The scale factors of the maps are 1 cm per m and 1 in per 0.75 ft, respectively

Scale factor of map 1

The scale is given as

A scale of 2 cm = 2m

Write out the scale

So, we have

2 cm = 2/2 m

Divide both sides of the scale by 2

So, we have the following equation

2/2 cm = 2/2 m

Evaluate the quotient

So, we have the following equation

1 cm = 1 m

The above means that the scale is 1 cm scale measurement represents 1 m actual measurement

Scale factor of map 2

The scale is given as

A scale of 4 in = 3 ft

Write out the scale

So, we have

4 in = 3 ft

Divide both sides of the scale by 4

So, we have the following equation

4/4 in = 3/4 ft

Evaluate the quotient

So, we have the following equation

1 in = 0.75 ft

The above means that the scale is 1 inch scale measurement represents 0.75 m actual measurement

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Answer:

A and C

Step-by-step explanation:

Factors are numbers that can multiplied with another number to create a product. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.

The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

Answer: 60%

Step-by-step explanation:

Take 42 divided by 70, then times 100% = 60%

Yoko has ridden 60% so far!

Answer:

The quotient of two polynomials is always a polynomial.

Step-by-step explanation:

There is no guarantee that a quotient of polynomials can be expressed as a polynomial, even though it sometimes can.

Answer: The answer is the quotient of two polynomials is always a polynomial.

Step-by-step explanation:

The given equation, 5r^2 + z^2 = 1, represents a surface called an ellipsoid. An ellipsoid is a three-dimensional shape resembling a stretched or compressed sphere.

To explain further, this equation represents a specific type of ellipsoid known as a prolate spheroid. It has a major axis along the z-axis and a minor axis along the r-axis. The equation states that the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.

In simple terms, imagine a three-dimensional shape that is stretched or compressed in such a way that its cross-sections in the r-z plane are ellipses. This is what the equation 5r^2 + z^2 = 1 represents.

To summarize, the given equation represents an ellipsoid, specifically a prolate spheroid, where the sum of the squares of the distances from any point on the surface to the r-axis and z-axis is equal to 1.

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