If the dicounted price i $328, what i the original price if there wa a 40% dicount?

Step-by-step explanation:

When x = 3,

6x² + 18x - 15

= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)

9514 1404 393

Answer:

  4.0 seconds

Step-by-step explanation:

The equation for ballistic motion is ...

  y = -4.9t^2 +22.1t

We want to find the larger value of t that makes y = 10.

  10 = -4.9t^2 +22.1t

  4.9t^2 -22.1t +10 = 0

Using the quadratic formula, we have ...

  t = (22.1 + √(22.1² -4(4.9)(10)))/(2·4.9) = (22.1 +√292.41)/9.8 = 39.2/9.8

  t = 4

The ball was in the air 4 seconds before it got stuck.

Answer:

41 kg of apples would cost $82.

Step-by-step explanation:

41 kg divided by 7 kg is 5.85714285714. 5.85714285714 multiplied by $14 is $82.

The absolute maximum and minimum values of the function over the indicated interval and indicate the x-values at which they occur f(x) = x² - 4x - 9; [0, 5],

we need to follow the steps given below:

Step 1: Differentiate the given function to find the critical points and intervals where the function increases and decreases.

f(x) = x² - 4x - 9f'(x)

= 2x - 4= 0

⇒ 2x = 4

⇒ x = 2

Thus, we get a critical point at x = 2.

Now, we will find the intervals where the function increases and decreases using the test point method:

f'(x) = 2x - 4> 0 for x > 2

∴ f(x) is increasing for x > 2.f'(x) = 2x - 4< 0 for x < 2

∴ f(x) is decreasing for x < 2.

Step 2: Check the function values at the critical points and the end points of the interval.

f(0) = (0)² - 4(0) - 9

= -9f(2) = (2)² - 4(2) - 9

= -13f(5) = (5)² - 4(5) - 9

= -19

Step 3: Now, we can identify the absolute maximum and minimum values of the function over the indicated interval

[0, 5].

Absolute maximum value of the function:

The absolute maximum value of the function over the interval [0, 5] is -9 and it occurs at x = 0.

Absolute minimum value of the function:

The absolute minimum value of the function over the interval [0, 5] is -19 and it occurs at x = 5.

Therefore, the absolute maximum and minimum values of the function over the indicated interval [0, 5] and the x-values at which they occur are as follows.

Absolute maximum value = -9 at x = 0

Absolute minimum value = -19 at x = 5

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The solution to the given differential equation as required is; y = √(x² + 4).

As evident in the task content;

dy / dx = x / y, y(0) = -2

Therefore, we have that;

dy (y) = dx (x)

By integration of both sides indefinitely;

y² / 2 = x²/2 + C

y² = x² + 2c

y = √(x² + 2c)

Hence, using the initial conditions;

-2 = √(0² + 2c)

-2 = √2c

2c = 4

c = 2.

Hence, the required solution of the differential equation as given is; y = √(x² + 4) since c = 2.

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Answer:

Step-by-step explanation:

Slope-intercept form:

We are given two points on the graph:

The first point gives us the y-intercept:

Finding the slope using slope formula:

The formula of the line:

The ratio of the distance Lincoln walked to the distance Amelia walked to the distance Jett walked is 5:2:10.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
If Amelia walked 12 miles less than Lincoln, then Amelia walked 20 - 12 = 8 miles.

If Amelia walked 20 miles less than Jett, then Jett walked 20 + 20 = 40 miles.

So, the ratio of the distance Lincoln walked to the distance Amelia walked to the distance Jett walked is,

Lincoln : Amelia: Jett

20 : 8 : 40

To simplify this ratio, we can divide all three numbers by 4:

5 : 2 : 10

Therefore, the ratio of the distance Lincoln walked to the distance Amelia walked to the distance Jett walked is 5:2:10.

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a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

xmdmkspwkwkpwmannsjsk

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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The type of armored cable listed under UL 4 with permitted conductor sizes of 14 AWG through 1 AWG only is Type AC Cable.

Type AC Cable is also known as armored cable or BX cable, and it is a type of electrical wiring that consists of two or more insulated conductors that are wrapped in a flexible metal sheath. The metal sheath provides protection against physical damage and also serves as a grounding conductor.

UL 4 is a standard for Armored Cable and it covers various types of armored cables, including Type AC cable. UL 4 specifies the construction, performance, and testing requirements for armored cables. It also includes requirements for the thickness and composition of the metal sheath, as well as the thickness and type of insulation on the conductors.

In summary, Type AC Cable is the type of armored cable that is listed under UL 4 and has permitted conductor sizes of 14 AWG through 1 AWG only.

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Answer:

x=-3  , y= -6/5 or y= -1 1/5 or y= -1.2

Step-by-step explanation:

x-intercept:                 y-intercept:

2x+5y= -6                     2x+5y= -6

2x+5×0= -6                  2×0+5y= -6

2x+0= -6                      y= -6/5

2x= -6                          Alternative form of solution would be:

x=-3                                 y= -1 1/5 or y= -1.2

Part of honest, healthy communication: Truthfulness, Honest competition.

Likely to engage in healthy communication: Speaking simply, Having an ethical character, Having personal integrity.

Part of honest, healthy communication:

Truthfulness: Being honest and truthful in your communication is essential for building trust and maintaining healthy relationships.

Honest competition: Engaging in fair and transparent competition promotes healthy communication and fosters growth and improvement.

Likely to engage in healthy communication:

Speaking simply: Using clear and straightforward language helps ensure effective communication and reduces the chance of misunderstanding.

Having an ethical character: Having a strong moral compass and adhering to ethical principles contribute to fostering healthy communication.

Having personal integrity: Demonstrating integrity by being honest, trustworthy, and consistent in your words and actions promotes healthy communication.

Not part of honest, healthy communication:

Defensiveness: Being defensive in communication hinders open dialogue and problem-solving, often leading to conflict and misunderstandings.

Not likely to engage in healthy communication:

Using technical language: Over-reliance on technical language can create barriers to effective communication, especially when communicating with individuals who are not familiar with the technical jargon. It is important to use language that is accessible to all parties involved.

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Answer:

8?

Step-by-step explanation:

Answer:

39996

Step-by-step explanation:

Trudy

(6 x 606) 2 =

3636 x 2 = 7272

Correct

 66 x 606 = 39996

Answer:

length = 12 feet , area = 72 ft²

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides of the rectangle.

let w be width then length is 2w

opposite sides of a rectangle are congruent , so

P = 2(2w) + 2w = 4w + 2w = 6w

given P = 36 , then

6w = 36 ( divide both sides by 6 )

w = 6

then

length = 2w = 2 × 6 = 12 feet

the area (A) of a rectangle is calculated as

A = length × width = 12 × 6 = 72 ft²

Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

Calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

Elements in group 2A (2) of the periodic table form ions with a charge of 2+. Therefore, the correct answer is c. 2+.

Group 2A elements, also known as alkaline earth metals, have two valence electrons in their outermost shell, which they tend to lose in chemical reactions to form cations with a charge of 2+. For example, magnesium (Mg) can form a Mg2+ cation by losing its two valence electrons. Similarly, calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

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The car will need 6 gallons of gasoline to travel 102 miles

Given that the car travels 442 miles on 26 gallons of gasoline.

Because the more the distance, the more the volume of gasoline used, this is a direct proportion.

So, we have:

It will need 6 gallons.

Answer:

Explanation:

From the graph, the points are best modeled using an exponential function.

Among the given options, Options 3 and 4 are exponential functions.

The third and fourth functions are tested below:

Option 3

Option 4

From the above, we can see that the function that best fits the data shown in the scatterplot is:

A quadratic function is a second-degree polynomial function that forms a symmetric parabolic curve, has a vertex, axis of symmetry, roots, and a constant leading coefficient.

A quadratic function is a type of function that can be represented by a quadratic equation of the form\(f(x) = ax^2 + bx + c,\)

where a, b, and c are constants.

Here are five characteristics of quadratic functions:

Degree: Quadratic functions have a degree of 2.

This means that the highest power of the independent variable, x, in the equation is 2.

Shape: The graph of a quadratic function is a parabola.

The shape of the parabola depends on the sign of the coefficient a.

If a > 0, the parabola opens upward, and if a < 0, the parabola opens downward.

Vertex: The vertex of the parabola represents the minimum or maximum point of the quadratic function.

The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate can be calculated by substituting the x-coordinate into the quadratic equation.

Axis of Symmetry: The axis of symmetry is a vertical line that divides the parabola into two equal halves.

It passes through the vertex of the parabola and is represented by the equation x = -b / (2a).

Roots or Zeros: Quadratic functions can have zero, one, or two real roots. The roots are the x-values where the quadratic function intersects the x-axis.

The number of roots depends on the discriminant, which is given by the expression b^2 - 4ac.

If the discriminant is greater than zero, there are two distinct real roots. If the discriminant is equal to zero, there is one real root (the parabola touches the x-axis at a single point).

If the discriminant is less than zero, there are no real roots (the parabola does not intersect the x-axis).

These characteristics help define and understand the behavior of quadratic functions and their corresponding graphs.

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Answer: 22.9890 is the answer

Answer:

23.0 will be your answer.

Step-by-step explanation:

When you round to the nearest tenth, you go one decimal place past the decimal. This is the number that will be rounded up or stays the same.

Then we go to 1 decimal place past that one. This number determines if the number will round up or stay. If the number is 5 and greater, then it will make the number before round-up. If the number is 4 or less, then the number will stay the same.

In this case, the 8 will make the 9 round up, resulting in the 9 become a "10", and that one gets added to the 2, or the next digit to the left.

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Answer:

tim will get $4 and sam $32 if shared in the ratio 1:4

Answer:

Tim got £8 and Sam got £32

Step-by-step explanation:

Total = £40

Total Parts = 1+4 = 5

Tim got:

=> \(\frac{1}{5} * 40\)

=> £8

Sam got:

=> \(\frac{4}{5}* 40\)

=> 4 * 8

=> £32

Answer:

I only have 2

Step-by-step explanation:

each sides is multiplying by 2

each order is multiplying by 12

Answer:

Step-by-step explanation:

Add up to 180