Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. What is the direct distance to her aunt's house?

Answer:

Options A, B and C are all independent events while the rest are all dependent events.

Step-by-step explanation:

Please kindly check the attached files for explanation.

Answer:

the answer is the the 3rd one

Final answer:

The correct formula for k(x) = g(x) × h(x), given that g(x) is an odd function and h(x) is an even function, is k(x) = x 2ⁿ - 1.

Explanation:

The student is asking which formula represents k(x) = g(x) × h(x). Given the functions g(x) = x³ - 3x and h(x) = e⁽¹x², and knowing that the product of an odd function and an even function is an odd function, the correct representation of k(x) will also be an odd function.

From the provided options, the correct formula must satisfy the conditions of being an odd function, meaning that k(-x) = -k(x). This property holds only for option two, k(x) = x 2ⁿ - 1, because this is the only option where k(x) changes sign when x is replaced with -x, fulfilling the criteria of an odd function.

Answer:

{a,b,g,j,k}

Step-by-step explanation:

Alan

Bethe

Gail

Jen

Kali

Answer:

C (i think i did it correctly)

Step-by-step explanation:

9 times 12 is 108 -> 108 - 60 = 1 hour and 48 minutes -> 48 plus 4 = 7:52am

I don't think I can answer it

Answer:

Step-by-step explanation:

area=area of trapezium ABCD with parallel sides 6 ft and 4 ft separated by distance 4 ft.+ area of square CEGD

=1/2(6+4)×4+4×4

=1/2 (10)×4+16

=20+16

=36 ft²

By using the conversion factor that 1 fluid ounce is equal to 2 tablespoons, an 11 fluid ounce can of orange juice contains 22 tablespoons of juice.

To find out how many tablespoons of juice are in a can, we will use the given conversion factors. We know that 1 fluid ounce (fl oz) is equivalent to 2 tablespoons (tbsp). The can contains 11 fluid ounces of orange juice.

Therefore, there are 22 tablespoons of orange juice in a can.

Answer:

R= -270, no

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Andrew has 9 cars

Step-by-step explanation:

Let's start by defining what our unknowns are and how to name them:

For the number of cars Andrew has: let's use the letter A

For the number of cars Luke has: let's use the letter L

Not write the first sentence in mathematical terms:

"Luke has 4 more than triples the number of cars that Andrew has."

L = 3 * A + 4

The second phrase results on a very simple equation since it just states the number of cars that Luke has:

L = 31

Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:

L = 3 * A + 4

31 = 3 * A +4

31 - 4 = 3 * A

27 = 3 * A

A = 27/3

A = 9

Therefore, Andrew has 9 cars.

Answer:

60

if you use a calculator then 63÷105×100

Hope this helps!

The solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.

Two or more expressions with an Equal sign is called as Equation.

The given equation is x³ + x² - 6x = 0

x cube plus x square minus six times of x equal to zero.

Take x as common

x(x² + x - 6) = 0

Now factorize the equation within the parenthesis

x(x² + 3x - 2x - 6) = 0

x[x(x + 3) - 2(x + 3)] = 0

x(x - 2)(x + 3) = 0

Now

x = 0

x - 2 = 0 => x = 2

x + 3 = 0 => x = - 3

Hence, the solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Final answer:

The equation [tex]x^3 + x^2 - 6x = 0[/tex]is factored into x(x + 3)(x - 2) = 0 to find the roots, which are x = 0, x = -3, and x = 2.

Explanation:

To solve the equation  [tex]x^3 + x^2 - 6x = 0[/tex], we first recognize that the equation is not a quadratic, but a cubic equation. However, we can factor out an x, which simplifies the equation to [tex]x(x^2 + x - 6) = 0.[/tex]The cubic term now has been factored into a linear term and a quadratic term. The quadratic equation [tex]x^2 + x - 6[/tex] can be factored further into (x + 3)(x - 2).

The roots of the equation are the values of x that make the equation equal to zero. By setting each factor equal to zero, x = 0, x + 3 = 0, and x - 2 = 0, we find the solutions to be x = 0, x = -3, and x = 2.

Answer: an infinity many solutions

Step-by-step explanation:

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.

Final answer:

An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation.

Explanation:

An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation. Extraneous solutions can occur when certain algebraic manipulations are performed that introduce additional solutions that are not valid in the context of the problem. For example, if we square both sides of an equation, we may introduce extraneous solutions. These extraneous solutions need to be identified and discarded when solving equations.

Answer:

1. Output

2. Slope

3. y-intercept

4. y = 14

5. y = -3

6. y = -4

7. y = 12

8. y = 4

9. y = 5

10. y = 6

Step-by-step explanation:

To solve problems 4-10, plug in the given values and simplify the equations.

4. y = -5(-2) + 4

y = 10 + 4

y = 14

5. y = 3(0) - 3

y = 0 - 3

y = -3

6. y = 2(4) - 12

y = 8 - 12

y = -4

7. y = 6(2)

y = 12

8. y = 3(1) + 1

y = 3 + 1

y = 4

9. y = -0.25(8) + 7

y = -2 + 7

y = 5

10. y = -3(-5) - 9

y = 15 - 9

y = 6

The elevation gained after travelling 1.5 miles will be 3960ft.

Step-by-step explanation:

Angle of elevation = 30°

Distance travelled= 1.5 miles

1 mile = 5280 ft.

1.5 miles = 5280 x 1.5

= 7920 ft.

The height from the ground can be calculated by,

sin 30° = height / 7920

1/2 = height / 7920

Height = 7920/2

= 3960 ft.

The elevation gained after travelling 1.5 miles will be 3960ft.

Final answer:

To determine the elevation gain over 1.5 miles on a road with a 30° angle of elevation, the sine function reveals that the elevation gain is 0.5 * 1.5 miles * 5280 feet/mile, which calculates to approximately 3960 feet.

Explanation:

To calculate the elevation gain when traveling 1.5 miles on a road with a 30° angle of elevation, we can use trigonometric functions. Specifically, the sine function is useful, because it relates the angle of a right triangle to the ratio of the opposite side (elevation gain) over the hypotenuse (distance traveled).

The sine of a 30° angle is 1/2, and if the hypotenuse is 1.5 miles, we can find the length of the opposite side by multiplying:

sine(30°) = elevation gain / (1.5 miles)

0.5 = elevation gain / (1.5 miles * 5280 feet/mile)

elevation gain = 0.5 * 1.5 miles * 5280 feet/mile

elevation gain = 0.5 * 1.5 * 5280 feet

elevation gain ≈ 3960 feet

Therefore, you would gain approximately 3960 feet in elevation after traveling 1.5 miles on the road.

Answer:

5.45%

Step-by-step explanation:

Given:

An airline ticket states that the flight takes 2 hours and 45 minutes.

The flight time is actually 2 hours and 54 minutes.

Question asked:

What is the percent error in the flight time?

Solution:

As we know:

[tex]Percent\ error=\frac{Experimental\ value - Theoretical\ value}{ Theoretical\ value}} \times100[/tex]

Theoretical value = 2 hours and 45 minutes

1 hour = 60 minutes

2 hours 45 minutes = 60 [tex]\times[/tex] 2 + 45 = 120 + 45 = 165 minutes

Experimental value = 2 hours and 54 minutes

1 hour = 60 minutes

2 hours 54 minutes = 60 [tex]\times[/tex] 2 + 54 = 120 + 54 = 174 minutes

[tex]Percent\ error=\frac{174-165}{165} \times100\\ \\ Percent\ error=\frac{9}{165} \times100\\ \\ Percent\ error=\frac{900}{165} \\ \\ Percent\ error=5.45[/tex]

Thus, the percent error in the flight time is 5.45%

Answer:

Step-by-step explanation:

Question asked:

What is the percent error in the flight time?

Solution:

As we know:

Theoretical value = 2 hours and 45 minutes

1 hour = 60 minutes

2 hours 45 minutes = 60  2 + 45 = 120 + 45 = 165 minutes

Experimental value = 2 hours and 54 minutes

1 hour = 60 minutes

2 hours 54 minutes = 60  2 + 54 = 120 + 54 = 174 minutes

Thus, the percent error in the flight time is 5.45%

Answer:

england is NOT my city

stop calling it london

Step-by-step explanation:

jake paul is my bf

Answer: the answer is c if im correct

Step-by-step explanation:

Answer:

1.64 ml

Step-by-step explanation:

2.05 + 6.15 = 8.2

8.2 / 5 = 1.64

Paula poured 1.64 milliliters of the mixture into each of the 5 containers after combining the volumes of hydrogen peroxide and water to get a total volume of 8.20 milliliters.

To find the amount of the mixture Paula poured into each container, we first need to calculate the total volume of the mixture she made by adding the volume of hydrogen peroxide to the volume of water.

The total volume of the mixture is 2.05 milliliters of hydrogen peroxide plus 6.15 milliliters of water, which equals 8.20 milliliters. Since the mixture was evenly distributed into 5 containers, we divide the total volume by the number of containers.

Amount per container = Total volume / Number of containers
Amount per container = 8.20 milliliters / 5 containers
Amount per container = 1.64 milliliters

Therefore, Paula poured 1.64 milliliters of the mixture into each container.

Answer: x= 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

Simplify: (Show steps)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

2x /2  =  10 /2

x=5

Answer:

The graph of G(x) is the graph of F(x) flipped over the x-axis and stretched vertically.

Step-by-step explanation:

The y-intercept of the equation y=3-4x is the constant term, which is 3. Hence, the line crosses the y-axis at the point (0, 3).

The y-intercept of the equation y = 3 - 4x can be found by looking at the constant term in the equation, which is the term without the 'x'. In this case, the constant term is 3. Therefore, the y-intercept of the line is the point (0, 3) where the line crosses the y-axis; that is when x=0, y=3.

In the linear equation \(y = 3 - 4x\), the y-intercept occurs when \(x = 0\). To find the y-intercept, substitute \(x = 0\) into the equation:

\[ y = 3 - 4(0) \]

This simplifies to \(y = 3\). Therefore, the y-intercept is \(y = 3\). In terms of interpretation, the y-intercept represents the point where the graph intersects the y-axis, indicating that when x is zero, the corresponding y-value is 3. So, the y-intercept for this equation is the point (0, 3) on the coordinate plane.

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

Answer: gallons

Step-by-step explanation:

Answer:Gallons

Step-by-step explanation:

You got to think of a pool and then relate it to the other measurements

Answer:

1 ray is intersecting point O

Step-by-step explanation:

A ray can be defined as a part of a line that has a fixed starting point but no end point.

AD and EC both go on forever but OB has one endpoint and goes on forever.

75 graduates from University A had an income under $20,000.

From the two-way table, we can see that 35 graduates from University A had an income under $20,000. In addition, 40 graduates from University B had an income under $20,000. However, we should not simply add these two numbers together, as some graduates from each university may have been counted twice.

To avoid double counting, we need to look at the total number of graduates who responded to the survey. This number is 35 + 90 + 35 + 37 = 197. Therefore, we know that there were 197 unique graduates who responded to the survey.

Since there were 197 unique graduates and 40 graduates from University B had an income under $20,000, this means that there must have been 197 - 40 = 157 graduates from University A who responded to the survey.

Finally, we can see from the two-way table that 35 graduates from University A had an income under $20,000. Therefore, there were a total of 75 graduates from University A who had an income under $20,000.

Question

Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.

How many graduates from University A had an income under $20,000?

________graduates

Answer:

[tex]V=753.6\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

Radius of a paint can, r = 4 inches

Height of a paint can, h = 15 inches

We need to find the volume of the paint can. We know that the shape of a paint can is in the form of cylinder such that the volume of cylinder is given by :

[tex]V=\pi r^2h[/tex]

Substituting all the values we get

[tex]V=3.14\times (4)^2\times 15\\\\V=753.6\ \text{inches}^3[/tex]

So, the volume of the paint can is 753.6 cubic inches.

Answer:

Low

Step-by-step explanation:

The tick marks of 40 and 50 are the same on both number lines (each data set has one dot shown over both the 40 and 50 mark). However, nothing else is the same or similar on the data sets, so their overlap is low.

Answer: D.

Step-by-step explanation:

To solve this problem, you first need to find the distance between the center and the point on the circle. This will give you your radius.

There are 12 units between -2 and 10 on the x-axis.

There are 5 units between 5 and 10 on the y-axis.

To find the distance of the slope, you can treat the distance as the hypotenuse and the distances of the two sides as your variables.

Using the Pythagorean theorem:

12^2 + 5^2 = 13^2. Your radius is 13 units long.

The equation for a circle is shown as the following:

[tex](x - h)^{2} + (y - k)^{2} = r^2[/tex]

Where the center is (h, k), and the radius is r.

When the center is at (-2, 10) and the radius is 13, then the equation is shown here:

[tex](x +2)^2 + (y - 10)^2 = 169[/tex]

Answer: D

Step-by-step explanation: