Zoey walked from school to the grocery store, and then to her house. The diagram shows the top view of the three locations and some of the distances between them.

The magnitude of the angle between vectors Aˉ and Bˉ is approximately 15 degrees. This angle can be calculated using the dot product and magnitude of the vectors.

To find the magnitude of the angle between two vectors, you can use the dot product formula:

Aˉ · Bˉ = |Aˉ| |Bˉ| cos(θ)

Where Aˉ · Bˉ represents the dot product of vectors Aˉ and Bˉ, |Aˉ| and |Bˉ| represent the magnitudes of vectors Aˉ and Bˉ respectively, and θ represents the angle between the two vectors.

Let's calculate the dot product of vectors Aˉ and Bˉ:

Aˉ · Bˉ = (Aₓ * Bₓ) + (Aᵧ * Bᵧ)

       = (7.07 * 5.00) + (7.07 * 8.66)

       = 35.35 + 61.18

       = 96.53

Next, calculate the magnitudes of vectors Aˉ and Bˉ:

|Aˉ| = √(Aₓ² + Aᵧ²) = √(7.07² + 7.07²) = √(49.99 + 49.99) = √99.98 ≈ 9.999

|Bˉ| = √(Bₓ² + Bᵧ²) = √(5.00² + 8.66²) = √(25 + 75) = √100 = 10

Now, substitute these values into the dot product formula:

96.53 = 9.999 * 10 * cos(θ)

Divide both sides by (9.999 * 10):

9.653 = cos(θ)

To find the angle θ, take the inverse cosine (cos⁻¹) of 9.653:

θ = cos⁻¹(9.653)

Calculating this angle using a calculator or software, you will find that the angle is approximately 15 degrees.

Therefore, the magnitude of the angle between vectors Aˉ and Bˉ is approximately 15 degrees.

Learn more about magnitude here: https://brainly.com/question/31616548

#SPJ11

Answer: f(t) = -16(t - 1)2 + 24

Step-by-step explanation:        

Here f(t) represents the path of the T-shirt in t seconds.

Since, It is given,

Initially, t = 0 and f(t) = 8

And, For t = 1, f(t) = 24

Thus, (0,8) and (1,24) are the points of given parabola.

⇒These points must satisfy the equation of the parabola.

When we put x = 0 and y = 8 in all the equations one by one,

We found, Equations  f(t) = -16(t - 1)2 - 24, f(t) = -16(t + 1)2 - 24 are not satisfying.

Therefore, they can not be the equation of the given parabola.

Again by putting x = 1 and y = 24,

f(t) = -16(t + 1)2 + 24 is not satisfying.

Therefore f(t) = -16(t + 1)2 + 24 also can not be the equation of the given parabola.

Thus, Only equation f(t) = -16(t - 1)2 + 24 is satisfied by the points (0.8) and (1,24).

⇒ f(t) = -16(t - 1)2 + 24 can be the equation of the given path of T-shirt.

Step-by-step explanation:

Answer:

Step-by-step explanation:

max 24 is at 1 sec

now, consider the equation:

f(t)=-16(t-h)^2+k,

since (h,k) is vertex, where h is the x value (time in this case), and k is y value (height in this case),

we put in 1 for h and 24 for k

now we have  f(t)=-16(t-1)^2+24

Answer:

66 is equal to K

Step-by-step explanation:

if 4 times 6 equal 24

then 11 time 6 equals 66

in this case, the scale factor is 6.

Have a wonderful day!

Answer:

K = 66

Step-by-step explanation:

\(\frac{k}{24} = \frac{11}{4}\)

when taking a look at this, first try to see if you can solve the denominator.

24 to 4 equals 6 meaning you divide k by 6 will be equal to 11

Then 11 x 6 = 66!!

Mark me as brainliest!!    

Answer:

\(d = 5\)

General Formulas and Concepts:

Order of Operations: BPEMDAS

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Step-by-step explanation:

Step 1: Define points

(2, -3)

(5, 1)

Step 2: Solve for d

Based on the given information (AC = BD), we cannot prove that AB = CD. More information is needed to determine their relationship.

It is not possible to prove that AB = CD based only on the given information, AC = BD.
To prove two line segments equal, you need additional information about their relationship, such as angles, side lengths, or other congruency properties.

Since we only have information about AC and BD, we cannot determine if AB is equal to CD without further context.

Summary:
Based on the given information (AC = BD), we cannot prove that AB = CD. More information is needed to determine their relationship.

Learn more about  line segments click here:

https://brainly.com/question/280216

#SPJ11

Answer:

option 6b):) is correct

Answer:

Option second!!!!!!!

Answer:

c. 98.6

Step-by-step explanation:

5.8x17=98.6

Answer:

Im gonna put this here so when I actually get the answer I get the points if thats ok? uhh z=10 thank you so much xD

Step-by-step explanation:

Answer:

Hey, it's DemonicBrain, im on my alt acc.

Step-by-step explanation:

Answer:

#1) Write a function to model population growth. Use a graph to predict when the population will reach 20, 000.

Answer: In this case what you have to do is use an exponential growth equation. In short the correct function that will model this population growth of 14% each year is P(t) = 350(1.14)^t and the population will reach 20,000 in about 31 years.

I hope it helps,

Step-by-step explanation:

plz mark brainlyest

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Given Data

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

Learn more about capacity of containers here:

https://brainly.com/question/20533888

Answer: there is no result because that’s the simplified form. You usually combine like terms but there isn’t any so that’s the simplest form

Step-by-step explanation:

Answer:

3a + 4b

Step-by-step explanation:

No result because there are no like terms!

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To know more about recommended guideline refer here:

https://brainly.com/question/28617982#

#SPJ11

The approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.

The area of a trapezoid is given by the formula:

A = (a + b)h/2

where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

In this case, we have:

a = 24 inches (the top parallel side)

b = 16 inches (the bottom parallel side)

h = 12 inches (the height)

Using the formula, we get:

A = (24 + 16) x 12/2

A = 240 square inches

The area of a semicircle is given by the formula:

A = πr²/2

where r is the radius of the circle.

In this case, the radius is half of the length of the wiper, so we have:

r = 16/2 = 8 inches

Using the formula, we get:

A = π(8²)/2

A ≈ 100.5 square inches

Therefore, the approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

To learn more about circle from the given link:

https://brainly.com/question/29142813

#SPJ1

Liquid metal coolants offer advantages such as high thermal conductivity, high boiling points, and good neutron properties in FBRs.

And disadvantages are chemical reactivity, radioactivity, corrosion, material compatibility, maintenance, and operational complexity.

Advantages of Liquid Metal Coolants for Fast Breeder Reactors (FBRs),

High thermal conductivity,

Liquid metals, such as sodium or lead, have significantly higher thermal conductivity compared to other coolants like water or gas.

This allows for efficient heat transfer from the reactor core to the coolant, enhancing the overall heat removal capability.

High boiling point,

Liquid metals typically have high boiling points, which allows them to operate at higher temperatures without undergoing phase changes.

This enables FBRs to operate at high thermal efficiency and generate more power.

Low pressure operation,

Liquid metals operate at relatively low pressures, reducing the mechanical stress on the reactor components.

This simplifies the design and construction of the reactor system, potentially reducing costs.

Good neutron properties,

Certain liquid metals, such as sodium, have favorable neutron properties.

They exhibit low neutron absorption cross-sections, meaning they absorb fewer neutrons compared to other coolants.

This allows for a higher neutron economy in FBRs, enabling the breeding of more fissile material (e.g., plutonium) from fertile material .

Disadvantages of Liquid Metal Coolants for FBRs,

Chemical reactivity,

Liquid metals are chemically reactive, particularly with water and air.

Sodium, for example, reacts violently with water, resulting in the production of hydrogen gas and heat.

Adequate safety measures and control systems are required to prevent such reactions and ensure the integrity of the coolant system.

Radioactivity and handling challenges,

Some liquid metal coolants, such as liquid sodium, can become radioactive due to neutron activation.

This requires careful handling procedures and shielding to protect personnel from radiation exposure.

The removal and treatment of radioactive liquid metal coolant during maintenance or decommissioning can be complex and costly.

Corrosion and material compatibility,

Liquid metals can be corrosive to many materials commonly used in reactor construction.

Special alloys, coatings, or other corrosion-resistant materials must be employed to mitigate corrosion issues.

The selection of compatible materials adds complexity and cost to the design and operation of the reactor.

Maintenance and operational challenges,

Handling and maintenance of liquid metal coolants require specialized equipment and procedures.

The high reactivity, high temperature, and potential for radioactive contamination demand careful planning and training.

Operations involving liquid metal coolants may have longer shutdown periods and increased complexity compared to other coolant systems.

Thermal expansion,

Liquid metals exhibit significant thermal expansion with temperature changes.

This can introduce mechanical stress on the reactor components,

requiring careful design considerations and flexibility to accommodate thermal expansion and contraction.

Learn more about Liquid metal coolants here

brainly.com/question/13386468

#SPJ4

Answer:

(1/2,4)

Step-by-step explanation:

because that is where the line crosses each other

the x is 1/2

the y is 4

The division of 3384 by 47 will give 72 and some ways for checking the reasonableness of solutions include rounding numbers, making numbers compatible, and using characteristics of operations.

A technique of division is a means of dividing something. The division techniques are classified into three groups based on their complexity degree. These are the chunking method, also known as division by repeated subtraction, the short division method, sometimes known as the bus stop method, and the long division method.

Here,

3384/47=72

Some strategies for determining the reasonableness of answers include rounding numbers, making numbers compatible, and using properties of operations.

Rounding numbers, making numbers compatible, and utilising features of operations are some methods for determining the reasonableness of answers. The division of 3384 by 47 will give 72.

To know more about division,

https://brainly.com/question/3315095?referrer=searchResults

#SPJ1

Answer:

Eating Is importnat

Step-by-step explanation:

Hello me is cool man i am good at math 2-1=110 so ye hello bye

Answer:

-2 inches per hour

Step-by-step explanation:

Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).

( 3 - 9 ) / ( 8 - 5 )

= -6 / 3

= -2 inches per hour

The simplex method is a widely used algorithm for solving linear programming problems, which involve optimizing a linear objective function subject to linear constraints. False.

However, the simplex method does not explicitly require the variables to be nonnegative in order to find a solution.

The simplex method starts with an initial feasible solution and iteratively improves it by moving along the edges of the feasible region, ultimately reaching the optimal solution. During the iterations, the variables can take any real values, including negative values.

That being said, some variations of the simplex method, such as the dual simplex method, have been developed specifically to handle problems with nonnegativity constraints. These variations can be used when variables are required to be nonnegative.

To learn more about, simplex method:-

brainly.com/question/32645273

#SPJ11

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is \(\frac{7\pi}{12}\). The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is \(y=A\cos(b(x-c))-d\), where,

A = Amplitude,

\(\frac{2\pi}{b}\) = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is \(y=\cos(x)\). Since function is reflected about x-axis, so our function will be \(y=-\cos(x)\).

Let us find the value of b.

\(\frac{2\pi}{b}=\frac{7\pi}{12}\)

\(7\pi\cdot b=24\pi\)

\(\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}\)

\(b=\frac{24}{7}\)

Upon substituting our given values in general cosine function, we will get:

\(f(x)=-11\cos(\frac{24}{7}x)-9\)

Therefore, our required function would be \(f(x)=-11\cos(\frac{24}{7}x)-9\).

90  is the average score of these top students.

What is the average in mathematics?

Mean is defined as the average equal to the ratio of the total number of values ​​in a particular set to the total number of values ​​in the set.

                               The average in mathematics is the average of a data set obtained by adding all the numbers and dividing the sum of the numbers by the number of numbers. For example, using the following dataset:

8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7, so the average is 7. 

the average score of these top students = 95 + 86 +  87 +  91 + 94 + 87/6

                                                              = 540/6 = 90

Learn more about average

brainly.com/question/24057012

#SPJ1

Answer:

\(5 + 0.7 + 0.03 = 5.73 \\ 100 + 50 + 3 + 0.5 + 0.04 + 0.008 = \\ = 153.548\)

Answer:

573/100 =5.73 this is the answer

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

The expected loss due to default on the portfolio of 5 loans is given by the formula:

Expected Loss = Probability of Default x Expected Loss per Loan

Expected Loss = 0.25 x (25,000) = 6,250

The variance of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Variance of Loss = Probability of Default x Variance of Loss per Loan

Variance of Loss = 0.25 x (5000)2 = 312,500

Therefore, the standard deviation of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Standard  Deviation of Loss = √Variance of Loss

Standard Deviation of Loss = √312,500 = 556.25

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

Answer:

Son is 20

Step-by-step explanation:

*3 - 10 y ago

20 y age diff

Answer:

Scale factor is 5/4

Step-by-step explanation:

To find scale factor make a fraction. New coordinates/old coordinates

Make the fractions and reduce.

10/8  and 15/12

5/4 and 5/4

The scale factor is 5/4

Answer:

6

Step-by-step explanation:

Hope this helps

Answer:

x = 6

Step-by-step explanation:

Subtract 7 on both sides

3x + 7 = 25

     - 7   - 7

Divide both sides by 3

3x = 18

18/3 = 6

x = 6

Answer:

£4244.83

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t.  Here, P = £4000, r = 0.02 and t = 3 yrs

So:  A = £4000(1 + 0.02)^3, which comes to:

       A = £4000(1.061) = £4244.83

Since both group sizes are prime numbers, there are no common factors between them. Thus, the LCM is simply the product of the two group sizes: 8 * 7 = 56.

To find the minimum number of daisies and lilies that Andrea must have watered, we need to determine the least common multiple (LCM) of the group sizes, which in this case are 8 for daisies and 7 for lilies.

The LCM of 8 and 7 is 56. This means that Andrea must have watered at least 56 flowers in total, with an equal number of daisies and lilies. The LCM represents the smallest multiple that both 8 and 7 can divide evenly into.Since both group sizes are prime numbers, there are no common factors between them. Thus, the LCM is simply the product of the two group sizes: 8 * 7 = 56.

Therefore, Andrea must have watered a minimum of 56 flowers, with an equal number of daisies and lilies, in order to meet the given planting arrangement.

To learn more about prime numbers click here : brainly.com/question/29629042

#SPJ11