i have 12 minutesuntil thisisdue

Hi there :)

Answer:

Stephanie receives $48.

Explanation:

The ratio is \(3/2 = Kristian/Stephanie\), which means the ratio is also going to be \(3/2 = $72/x\).

3x = $72 x 2

x = $144/3 = 48 <----

If you have any further questions, feel free to ask.

Have a wonderful day!

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Equations and inequalities are both mathematical constructions made by joining two expressions.

A connection in mathematics that compares two numbers variables  or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. Less than or equal to, larger than, less than, and more than or equal to are the four fundamental inequalities.

Here,

Given :

-1 to 2 in the graph ,

To find the solution for the inequality ,

We get option -1 as the inequality

=> -1 ,0 ,1,2

=> -1 is the solution for this

These symbols for inequality are not equal (≠), less than (<), greater than (>), less than or equal (≤), and more than or equal (≥). Comparing numbers and identifying the range or ranges of values that satisfy the requirements of a given variable are both done using inequalities.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥ indicate that the two expressions in an inequality are not always equal.

Therefore, the correct answer is option b.

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The volume of a triangular prism is given by V=12x5-27x4+20x3-x2-127x+63 and the height of the prism is given by h=4x-9.

To find an expression for the area of the base of the triangular prism, we must first calculate the area of the base triangle. Since the base triangle is an isosceles triangle, we can use the formula A=√(s(s-a)(s-b)(s-c)) where s is the semiperimeter, and a, b, and c are the lengths of the three sides. We can calculate the semiperimeter by using the formula s=(a+b+c)/2, and the three side lengths are a=4x-9, b=12x-27, and c=16x-45. Substituting these into the area formula, we obtain:
A=√[(4x-9+12x-27+16x-45)(-4x+9)(12x-27)(16x-45)]

Simplifying, we obtain A=4x2-93x+386. This expression is the area of the base of the triangular prism.
The volume of a triangular prism is given by 12x5−27x4+20x3−x2−127x+63. The height of the prism is given by 4x−9. Find an expression for the area of the base of the triangular prism. Solution: Given: Volume of a triangular prism = 12x5−27x4+20x3−x2−127x+63Height of the prism = 4x−9The formula for the volume of a triangular prism is given by:V = 1/2 × b × h × HWhere b is the base, h is the height of the triangle and H is the height of the prism.As we are given that H = 4x-9, we can write the above formula as:V = 1/2 × b × h × (4x - 9)We know that V = 12x5−27x4+20x3−x2−127x+63.

Substituting the values in the formula, we get:12x5−27x4+20x3−x2−127x+63 = 1/2 × b × h × (4x - 9)Dividing both sides by 1/2 × (4x - 9), we get:b × h = (12x5−27x4+20x3−x2−127x+63) / (1/2 × (4x - 9))b × h = (24x5 - 54x4 + 40x3 - 2x2 - 254x + 126) / (4x - 9) Factorising the numerator, we get: b × h = [(2x-1)(12x4-15x3-5x2+3x-126)] / (4x-9)We need to find the expression for the area of the base of the triangular prism.

As the formula for the volume of the triangular prism is given by:V = 1/2 × b × h × H, we can write the formula for the area of the base as:

A = 2 × V / h × H Solving for A, we get: A = 2 × [(2x-1)(12x4-15x3-5x2+3x-126)] / (4x-9) × (4x-9) / (4x-9)A = (2(2x-1)(12x4-15x3-5x2+3x-126)) / (16x2-72x+81)Therefore, the expression for the area of the base of the triangular prism is (2(2x-1)(12x4-15x3-5x2+3x-126)) / (16x2-72x+81).

Hence, the answer is (2(2x-1)(12x4-15x3-5x2+3x-126)) / (16x2-72x+81).

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Answer:

(0,3)

Step-by-step explanation:

y = mx + b

\(y=\frac{1}{2}x+b\)

\(4=\frac{1}{2}(2)+b\)

4 = 1 + b

b = 3

\(y=\frac{1}{2}x+3\)

'b' represents the y-intercept in slope-intercept form. Another point is (0,3)

\(\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)\)

Answer:

3 liters

Step-by-step explanation:

24/8 = 3

Answer:

Step-by-step explanation:

what are you so most to do on this answer

Answer:

The independent variable.

Answer:

Réponse :Explications étape par étapea) Le vecteur AC(xc-xa;yc-ya)vecteur AC(-6;-3

Step-by-step explanation:

Les coordonnées d'un vecteur dans un r.o.n. décrivent le déplacement qu'il représente. Ainsi, un déplacement de « 3 ...

The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.

To draw the lines and indicate the point of intersection, you can follow these steps:

1. Draw a coordinate system on a piece of paper or using a drawing software.

2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.

3. Connect the two points with a straight line and label it as line A.

4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.

5. Connect the two points with a straight line and label it as line B.

6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.

7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.

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The next step is to analyze and interpret the data. This involves calculating summary statistics, such as the mean and standard deviation, to understand the central tendency and variability of the dance durations.

To proceed, start by organizing the collected data on dance durations for each friend. Then, calculate summary statistics such as the mean and standard deviation. The mean provides an estimate of the average dance duration, while the standard deviation indicates the variability or spread of the data.

Analyzing the instrumental uncertainty of 1 second means acknowledging that there could be a systematic error in the measurements due to limitations of the instrument used for timing. This uncertainty should be taken into account when interpreting the results.

Considering the statistical uncertainty of 20 seconds implies recognizing the inherent variability in the dance durations. This uncertainty accounts for individual differences in dance abilities, fatigue levels, and other factors that can affect the duration.

By examining the mean and standard deviation, you can gain insights into the typical dance duration and the range of variation among your friends. Additionally, you may choose to visualize the data using graphs or charts to better understand the distribution of dance durations.

Overall, the next step involves interpreting the data by calculating summary statistics, accounting for instrumental and statistical uncertainties, and analyzing the central tendency and variability of the dance durations. This analysis can provide valuable insights into your friends' dance abilities and inform further decision-making or conclusions based on the collected data.

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Answer:

x = 9

Step-by-step explanation:

3x+1=4x-8

    -1       -1

3x=4x-9

-4x -4x

-x=-9

x=9

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x-7

slope is -3

parallel lines have the same steepness, they have the same slope.  The slopes are equal.

y-y1=m(x-x1)

y-2=-3(x-1)

y-2=-3x+3

y=-3x+3+2

y=-3x+5

Answer:

BC, DE are two lines seen in the picture

To calculate the probability of two separate events using the ratio method, we must first understand the odds associated with each event. The odds are expressed as a ratio, with the first number representing the chances of success and the second number representing the chances of failure. For example, the odds of an event happening might be 3:2, which indicates that there is a 3/5 chance of success.

Once the odds for each event are known, we can calculate the probability of both events occurring by multiplying the odds of each event together. So, for example, if the odds of Event A are 3:2 and the odds of Event B are 4:5, the probability of both events occurring is 3/2 * 4/5 = 6/10. This means that there is a 6 in 10 chance of both events occurring.

To sum up, calculating the probability of two separate events using the ratio method is fairly simple. Just look at the odds associated with each event and multiply them together to get the probability of both events occurring.

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Answer:   w = 1200

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

Answer:

x=2

Step-by-step explanation:

transpose 6

8-6 is 2

u can also check if u say 2 + 6 it will give u 8 which means 2 is correct

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Given the region E: x² + y² ≤ 2y, 0 ≤ z ≤ y.Evaluate ∭E x² + y² dVThere are three variables, so we need to use triple integral, and the integrand includes x² + y². As x² + y² reminds us of a circle, let's use cylindrical coordinates to define the integral.

We have:0 ≤ ρ ≤ 2sin(φ), 0 ≤ φ ≤ π/2, 0 ≤ z ≤ y

where x = ρcos(θ)

, y = ρsin(θ), and

z = z.The limits of integration for ρ and φ come directly from the region E, since the plane z = y is already defined as the maximum value of z, we don't need to add anything. The upper bound of ρ is 2sin(φ) since x² + y² ≤ 2y ⇒ ρ² ≤ 2ρsin(φ). So:∭E x² + y² dV = ∫₀^π/2 ∫₀^2sin(φ) ∫₀^y ρ² dxdydz Now we need to write x and y in terms of cylindrical coordinates.

As x = ρcos(θ) and y = ρsin(θ), we have:

∭E x² + y² dV = ∫₀^π/2 ∫₀^2sin(φ) ∫₀^y ρ²

dxdydz= ∫₀^π/2 ∫₀^2sin(φ) ∫₀^y ρ² cos²(θ) + ρ² sin²(θ)

ρdθdydz= ∫₀^π/2 ∫₀^2sin(φ) ρ³ cos²(θ) + ρ³ sin²(θ) [θ]₀^2π

ρdydz= ∫₀^π/2 ∫₀^2sin(φ) ρ³ (cos²(θ) + sin²(θ))

dydz= ∫₀^π/2 ∫₀^2sin(φ) ρ³ dydz= ∫₀^π/2 ∫₀^2sin(φ) (2sin(φ))³ sin(φ)

dφdθ= ∫₀^π/2 ∫₀^2sin⁴(φ)

dφdθ= ∫₀^π/2 3/4 (φ - sin(2φ)/2) dθ= 3/4 [(π/2)² - 2]

So the answer is 3/4 [(π/2)² - 2].

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7^3x7^-5

7x7x7=343

-7x-7x-7x-7x-7=-16807

343x-16807

-5764801

hope it helps!

if not, sorry...

The current in amps when the resistance is 12 ohms is 40 amps.

Explain resistance

Resistance is the measure of how much a material or object opposes the flow of electric current through it. It is a property that determines how much voltage is needed to drive a given current through the material and is measured in ohms. Resistors are components used to control the resistance in an electrical circuit.

According to the given information

We know that the current (I) varies inversely with the resistance (R), so we can write:

I = k/R

24 = k/20

Multiplying both sides by 20, we get:

k = 480

Now we can use this value of k to find the current when the resistance is 12 ohms:

I = 480/12

I = 40

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You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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Answer:

Step-by-step explanation:

not sur

e

Answer: 307 ÷ 24 = 209 ÷ 32 = 456

Step-by-step explanation:

Given:

The polynomial is:

\(p(x)=x^2-1\)

To find:

Whether \(x=-2\) is a zero of the given polynomial or not.

Solution:

If \(x=c\) is a zero of a polynomial, then \(f(c)=0\).

We have,

\(p(x)=x^2-1\)

Putting \(x=-2\) in the given polynomial.

\(p(-2)=(-2)^2-1\)

\(p(-2)=4-1\)

\(p(-2)=3\)

Since \(p(-2)\neq 0\), therefore \(x=-2\) is not a zero of the given polynomial.

Answer: d

Step-by-step explanation:

Answer:

9. 18x

10. x - 9

11. 12x

12. \(c^2 + 14\)

13. 2(x - 11)

14. \(5( \frac{x}{4} )\)

Step-by-step explanation:

9. Remember that product means multiply, so 18 * x is the equation. Or 18x.

10. If the price is represented by x, and it decreases by 9, then we can represent that by x - 9.

11. Times means multiply. We can use x for the number of hours, so 12 * x or 12x works in this situation.

12. Sum means to add so we would add c squared and 14 to get c^2 + 14.

13. A number decreased by 11 is represented by x - 11, and all of that is multiplied by 2.

14. A number divided by 4 is represented by the x/4. All that is multiplied by 5.

I hope this helps!!

- Kay :)

Answer:

x=6

Step-by-step explanation:

The valid generalizations are:

There are no oranges in the fruit salad

Pieces of pear make up a majority of fruit salad

Pieces of pineapple make up about 10% of fruit salad

From the question we are to determine the valid generalization about the composition of the fruit salad.

From the given information,

The fruit salad is made up of 15 blueberries, 55 pieces of pear, 20 pieces of apple, and 10 pieces of pineapple.

The total is

15 + 55 + 20 + 10 = 100

This statement is not correct because the composition of apple in the fruit salad is about 20%

This statement is correct because there are actually no oranges in the fruit salad

This statement is correct because the composition of pear in the fruit salad is 55%. Thus, pieces of pear make up a majority of fruit salad

This statement is correct because the composition of pineapple in the fruit salad is 10%

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