selena paid $15.00 for 6 gallons of gasoline what was the price per gallon

Answer:

The midpoint is ( 1,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -4+6)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -4+14)/2 = 10/2 =5

The midpoint is ( 1,5)

Answer:

whichever one corresponds with the answers you have will be right.

The value of x is 1/15, which is approximately 0.067 or about 0.07 when rounded to two decimal places.

To find the value of x, we need to determine the number of students who ride their bikes more than 10 miles each month.

From the given data, the number of students who ride their bikes more than 10 miles each month is:

2 (students with values 12 and 15)

So, x represents the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed (30).

x = 2/30, which simplifies to 1/15.

The number of pupils who cycle more than 10 miles per month must be identified in order to establish the value of x.

The number of students that bike more than 10 miles each month, according to the information provided, is:

2 pupils (12 and 15 as their values)

Consequently, x is the proportion of students who bike more than 10 miles per month to the total number of students polled (30).

x = 2/30 is reduced to 1/15 using the formula.

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Answer: The angle is 90 degrees.

Step-by-step explanation:

A triangle that has a diameter as its hypotenuse inside a inscribed circle has a right angle opposite of its hypotenuse. This is true for any right triangle inscribed in a circle, because the equation to get measure B is:

(angle ABC) = 1/2 * (angle AOC)

Angle AOC is 180 degrees. Putting 180 into the euqation, we get 90 degrees for angle ABC.

Answer:

the second option

Step-by-step explanation:

to graph the integer 4, a dot would be placed at the 4

To find the opposite of four, you would start at zero and count four to the left (or you could just place a negative sign in front of the four), which would result in -4, also called negative four. to graph the opposite of 4, a dot would be placed on the -4 .

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 2, - 3 ) , then

y = a(x - (- 2))² - 3 , that is

y = a(x + 2)² - 3

To find a, substitute any point on the graph into the equation

Using the coordinates of the y- intercept (0, 5 )

5 = a(0 + 2)² - 3 ( add 3 to both sides )

8 = a(2)² = 4a ( divide both sides by 4 )

2 = a

y = 2(x + 2)² - 3 → B

Answer:

see explanation

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is

parallel to the third side

∠ 1 and 144° are same- side interior angles and sum to 180° , so

∠ 1 + 144° = 180° ( subtract 144° from both sides )

∠ 1 = 36°

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

∠ 2 and 56° are corresponding angles and are congruent , so

∠ 2 = 56°

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

∠ 3 and 56° are a linear pair and sum to 180°

∠ 3 + 56° = 180° ( subtract 56° from both sides )

∠ 3 = 124°

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

the sum of the 3 angles in a triangle = 180° , then

∠ 1 + ∠ 2 + ∠ 4 = 180° , that is

36° + 56° + ∠ 4 = 180°

92° + ∠ 4 = 180° ( subtract 92° from both sides )

∠ 4 = 88°

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

∠ 5 and ∠ 1 are corresponding angles and are congruent , so

∠ 5 = 36°

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

Answer:

m∠1 = 36° , m∠5 = 36° , m∠4 = 88°  , m∠3 = 124° , m∠2= 56°

Step-by-step explanation:

m∠1 and 144° are Co-Interior angles, or the angles which are on the same side of the transveral

m∠1 + 144°  = 180°

m∠1 = 36°

angle 5 and 144° are in a linear pair-
144 °+ angle 5 = 180°

m∠5 = 36°

angle 5 + 56° + angle 4 = 180°        because addition of angles of a triangle is 180°

36° + 56° + angle 4 = 180°
angle 4 = 180° - 92°
angle 4 = 88°

56° and angle 3 are in a linear pair

56° + angle 3 = 180°
angle 3 = 124°

angle 3 and angle 2 are Co-Interior angles

angle 3 + angle 2 = 180°
124° + angle 2 = 180°
angle 2 = 56°

Hope it helped and you understood it :)

The initial population of lynx on the island is 1000 lynx.

To find the initial population of lynx on the island, we need to look at the equation for P(t) when t = 0.

This is because t represents the time since observations of the island began, so when t = 0, this is the starting point of the observations.

Therefore, we can substitute t = 0 into the equation for P(t):
P(0) = 121(0) - 0.4(0)⁴ + 1000
P(0) = 0 - 0 + 1000
P(0) = 1000

So the initial population of lynx on the island is 1000 lynx.

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According to the information, we can infer that the histograms indicate that female students tend to have a higher frequency of studying times compared to male students during the week prior to their AP tests.

By comparing the histograms, we can observe that the frequency of studying times for female students is generally higher across all time intervals compared to male students. Female students have a higher frequency in each category, indicating that they spend more time studying than male students during the week before the AP tests.

To further analyze the distributions, we can also consider the measures of center and variation. The measures of center, such as the mean or median, would provide insights into the typical studying time for each group. Additionally, measures of variation, such as the standard deviation or interquartile range, would indicate the spread or variability of studying times within each group.

Accoding to the above, based on the provided frequency distributions, it can be concluded that female students tend to dedicate more time to studying during the week prior to their AP tests compared to male students.

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The current density of the solution is 1.11 A/m², which is equivalent to 1/100,000,000 A/m².

To convert the current density from A/dm² to A/m², we need to convert the units of square decimeter (dm²) to square meter (m²).

1 square meter is equal to 10,000 square decimeters (1 m² = 10,000 dm²).

Therefore, we can convert the current density as follows:

1 A/dm² = 1 A / (10,000 dm²)

To simplify this, we can express it as:

1 A / (10,000 dm²) = 1 / 10,000 A/dm²

Now, we need to convert the units of A/dm² to A/m². Since 1 meter is equal to 100 decimeters (1 m = 100 dm), we can convert the units as follows:

1 / 10,000 A/dm² = 1 / 10,000 A / (100 dm / 1 m)²

Simplifying further, we get:

1 / 10,000 A / (100 dm / 1 m)² = 1 / 10,000 A / (10,000 m²)

Canceling out the common units, we have:

1 / 10,000 A / (10,000 m²) = 1 / (10,000 × 10,000) A/m²

Simplifying the denominator:

1 / (10,000 × 10,000) A/m² = 1 / 100,000,000 A/m²

Therefore, the current density of the solution in A/m² is 1 / 100,000,000 A/m², which is equivalent to 1.11 A/m².

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , thus

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{7\sqrt{2} }{x}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

x = 7\(\sqrt{2}\) × \(\sqrt{2}\) = 7 × 2 = 14

Answer:

Step-by-step explanation:

\(Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14\)

The quadrilateral with vertices (0,0), (5,0), (8,4), and (3,4) is a rhombus.

What is a rhombus?

A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

What is a distance formula?

D = √(x₂ - x₁)² + (y₂ - y₁)²

Here, we have

Given vertices A(0,0), B(5,0), C(8,4), and D(3,4)

By applying the distance formula, we get

AB = √(5 - 0)² + (0 - 0)²  = 5

BC = √(8 - 5)² + (4 - 0)²  = 5

CD = √(3 - 8)² + (4 - 4)²  = 5

Hence, it's all sides are equal so it is a rhombus.

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Answer: 2,754 students

Step-by-step explanation:

18 / 270= 1/15

(1/15)(41,310) = 2,754 students

Answer:

Step-by-step explanation:

Answer:

it says 22 points not 50 so im not answering correctly

Step-by-step explanation:

sorry but that's how the cookie crumbles

Step-by-step explanation:

I hope this answer is helpful ):

The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.

To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:

Max intersection points = n * (n - 1) / 2

In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:

Max intersection points = 7 * (7 - 1) / 2

Max intersection points = 7 * 6 / 2

Max intersection points = 42 / 2

Max intersection points = 21

Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.

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Answer:

\(\displaystyle m = 3\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (-2, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

The derivative of f(x) = 25(x - 2)(x^2 + 3) using logarithmic differentiation is f'(x) = 25(3x^2 - 4x + 3).

To find the derivative of the function f(x) = 25(x - 2)(x^2 + 3) using logarithmic differentiation, we follow these steps: Take the natural logarithm of both sides of the equation: ln(f(x)) = ln[25(x - 2)(x^2 + 3)]. Apply the logarithmic property of multiplication: ln(f(x)) = ln(25) + ln(x - 2) + ln(x^2 + 3)

Differentiate both sides of the equation with respect to x: (1/f(x)) * f'(x) = 0 + (1/(x - 2))(1) + (1/(x^2 + 3))(2x). Simplify the expression: f'(x)/f(x) = (1/(x - 2)) + (2x/(x^2 + 3)). Multiply both sides of the equation by f(x): f'(x) = f(x) * [(1/(x - 2)) + (2x/(x^2 + 3))]. Substitute the expression of f(x): f'(x) = 25(x - 2)(x^2 + 3) * [(1/(x - 2)) + (2x/(x^2 + 3))]. Simplifying further, we have: f'(x) = 25[(x^2 + 3) + 2x(x - 2)]. Expanding and simplifying: f'(x) = 25(x^2 + 3 + 2x^2 - 4x), f'(x) = 25(3x^2 - 4x + 3).

Therefore, the derivative of f(x) = 25(x - 2)(x^2 + 3) using logarithmic differentiation is f'(x) = 25(3x^2 - 4x + 3).

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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The area of the quadrilateral ABCD is 105 square units

From the question, the vertices are given as

A = (4, 2)

B = (-2, -10)

C = (14, -y)

D = (14, y)

By the equation of perpendicular slopes, we have

(-10 - 2)/(-2 - 4) = -(14 - 4)/(-y - 2)

When evaluated, we have

2 = -10/(-y - 2)

So, we have

-y - 2 = -5

This gives

y = 3

So, we have

A = (4, 2)

B = (-2, -10)

C = (14, -3)

D = (14, 3)

The area is then calculated as

Area = 1/2 * |(x1 - x3)(y2 - y4) - (x2 - x4)(y1 - y3)|

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * |(4 - 14)(-10 - 3) - (-2 - 14)(2 + 3)|

Evaluate

Area = 105

Hence, the area is 105 square units

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Answer:

the equation is h(x)=e

Step-by-step explanation:

so by this just use quizlet it helps alot yk I can't explain it but it does

The number of nickels and dimes are 11 and 15 respectively.

What are system of equations?

A system of equation is set of 2 or more equation in 2 or more variables. These equations can be solved by using the methods like substitution and elimination.

Let the number of nickels be x and number of dimes is y.

We are given the total number of nickels and dimes are 26.

hence the equation becomes x + y = 26               (1)

Total amount by nickels and dimes is $2.05

1 nickel equals 5 cents that is $0.05

and 1 dime is 10 cents that is $0.1

Hence the equation becomes

0.05x + 0.1y = 2.05                                   (2)

Multiply equation 2 by 10 we get

0.5x + y = 20.5             (3)

Subtract equation 1 and 3 we get

0.5x = 5.5

multiplying both sides by 2 we get

x = 11

Now subtract this value in equation 1 we get

x + y= 26

11 +y =26

y= 15

Hence the number of nickels is 11 and number of dimes is 15

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Answer: nickels and dimes are 11 and 15

Answer:

Three squares that form right triangle:

A, E and C

Step-by-step explanation:

Area of E = 1^2 = 1

Area of A = 2.4^2 = 5.76

Area of C = 2.6^2 = 6.76

Area A + Area E = Area C

The probability that the single server queuing system will contain 6 or more customers is 0.9779 (option d). This means that there is a high likelihood that the system will have at least 6 customers at any given time.

To calculate this probability, we can use the formula for the steady-state probability of the system being in state n or more, which is given by:
P(n or more) = (1 - ρ) * ρ^n / (1 - ρ^(N+1))
where ρ is the traffic intensity (arrival rate / service rate) and N is the number of servers. In this case, we have a single server, so N = 1.
First, we need to calculate the traffic intensity ρ. The arrival rate is 7 customers per hour, and the service rate is 15 customers per hour.
ρ = 7 / 15 = 0.4667
Next, we substitute the values into the formula:
P(6 or more) = (1 - 0.4667) * (0.4667^6) / (1 - 0.4667^(1+1))
P(6 or more) ≈ 0.9779
Therefore, the probability that the system will contain 6 or more customers is approximately 0.9779, or option d.

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Answer:

24

Step-by-step explanation: